diff --git a/CMakeLists.txt b/CMakeLists.txt
index 766a46801f8..cc30292b0c3 100644
--- CMakeLists.txt
+++ CMakeLists.txt
@@ -44,7 +44,7 @@ option(QL_BUILD_TEST_SUITE "Build test suite" ON)
 option(QL_BUILD_FUZZ_TEST_SUITE "Build fuzz test suite" OFF) 
 option(QL_ENABLE_OPENMP "Detect and use OpenMP" OFF)
 option(QL_ENABLE_PARALLEL_UNIT_TEST_RUNNER "Enable the parallel unit test runner" OFF)
-option(QL_ENABLE_SESSIONS "Singletons return different instances for different sessions" OFF)
+option(QL_ENABLE_SESSIONS "Singletons return different instances for different sessions" ON)
 option(QL_ENABLE_THREAD_SAFE_OBSERVER_PATTERN "Enable the thread-safe observer pattern" OFF)
 option(QL_ENABLE_TRACING "Tracing messages should be allowed" OFF)
 option(QL_ENABLE_DEFAULT_WARNING_LEVEL "Enable the default warning level to pass the ci pipeline" ON)
@@ -61,6 +61,9 @@ option(QL_INSTALL_EXAMPLES "Install examples" ON)
 option(QL_INSTALL_TEST_SUITE "Install test suite" ON)
 option(QL_TAGGED_LAYOUT "Library names use layout tags" ${MSVC})
 option(QL_USE_CLANG_TIDY "Use clang-tidy when building" OFF)
+option(QL_USE_PCH "Use precompiled headers" OFF)
+# Deleted from QL 1.27
+option(QL_USE_DISPOSABLE "Use the Disposable class template. Not needed for C++11" OFF)
 option(QL_USE_INDEXED_COUPON "Use indexed coupons instead of par coupons" OFF)
 option(QL_USE_STD_ANY "Use std::any instead of boost::any" ON)
 option(QL_USE_STD_CLASSES "Enable all QL_USE_STD_ options" OFF)
@@ -91,6 +94,10 @@ if (QL_USE_STD_CLASSES)
     set(QL_USE_STD_SHARED_PTR ON)
 endif()
 
+if (NOT DEFINED MSVC_LINK_DYNAMIC_RUNTIME)
+    set(MSVC_LINK_DYNAMIC_RUNTIME ON)
+endif ()
+
 # Set the default warning level we use to pass the GitHub workflows
 if (QL_ENABLE_DEFAULT_WARNING_LEVEL)
     if (MSVC)
@@ -140,12 +147,20 @@ endif()
 
 # Boost static libs ON for MSVC
 if (NOT DEFINED Boost_USE_STATIC_LIBS)
-    set(Boost_USE_STATIC_LIBS ${MSVC})
+    if(BUILD_SHARED_LIBS)
+        set(Boost_USE_STATIC_LIBS 0)
+    else()
+        set(Boost_USE_STATIC_LIBS 1)
+    endif()
 endif()
 
 # Boost static runtime ON for MSVC
 if (NOT DEFINED Boost_USE_STATIC_RUNTIME)
-    set(Boost_USE_STATIC_RUNTIME ${MSVC})
+    if(BUILD_SHARED_LIBS OR (MSVC AND MSVC_LINK_DYNAMIC_RUNTIME))
+        set(Boost_USE_STATIC_RUNTIME 0)
+    else()
+        set(Boost_USE_STATIC_RUNTIME 1)
+    endif()
 endif()
 
 if (NOT DEFINED QL_BOOST_VERSION)
@@ -157,6 +172,14 @@ if (NOT DEFINED QL_BOOST_VERSION)
     endif()
 endif()
 
+if (NOT DEFINED QL_BOOST_COMPONENTS)
+    # Boost thread and unit_test_framework needed for tests and benchmark
+    if (QL_BUILD_TEST_SUITE OR QL_BUILD_BENCHMARK)
+        set(QL_BOOST_COMPONENTS thread unit_test_framework)
+    else()
+        set(QL_BOOST_COMPONENTS thread)
+    endif()
+endif()
 if (CMAKE_CXX_COMPILER STREQUAL "icpx")
     find_package(IntelDPCPP REQUIRED)
 endif()
@@ -226,13 +249,14 @@ include(Platform)
 
 # Check for library name layout tagging
 if (QL_TAGGED_LAYOUT)
+
     if (${CMAKE_SIZEOF_VOID_P} EQUAL 8)
         set(DEBUG_POSTFIX "-x64")
         set(RELEASE_POSTFIX "-x64")
     endif()
     set(DEBUG_POSTFIX ${DEBUG_POSTFIX}-mt)
     set(RELEASE_POSTFIX ${RELEASE_POSTFIX}-mt)
-    if (CMAKE_MSVC_RUNTIME_LIBRARY MATCHES ".*DLL$")
+    if (MSVC_LINK_DYNAMIC_RUNTIME)
         set(DEBUG_POSTFIX ${DEBUG_POSTFIX}-gd)
     else()
         set(DEBUG_POSTFIX ${DEBUG_POSTFIX}-sgd)
diff --git a/Examples/CDS/CDS.cpp b/Examples/CDS/CDS.cpp
index 28ccbb527ff..802f5092df9 100644
--- Examples/CDS/CDS.cpp
+++ Examples/CDS/CDS.cpp
@@ -103,7 +103,7 @@ void example01() {
                                 makeQuoteHandle(quoted_spreads[i]),
                                 tenors[i], settlementDays, calendar, Quarterly, Following,
                                 DateGeneration::TwentiethIMM, Actual365Fixed(),
-                                recovery_rate, tsCurve));
+                                recovery_rate, tsCurve, true, CreditDefaultSwap::ProtectionPaymentTime::atDefault));
     }
 
     // Bootstrap hazard rates
@@ -142,7 +142,8 @@ void example01() {
                                .withTerminationDateConvention(Unadjusted)
                                .withRule(DateGeneration::TwentiethIMM);
     CreditDefaultSwap cds_3m(Protection::Seller, nominal, quoted_spreads[0],
-                             cdsSchedule, Following, Actual365Fixed());
+                             cdsSchedule, Following, Actual365Fixed(),
+                             true, CreditDefaultSwap::ProtectionPaymentTime::atDefault);
 
     cdsSchedule = MakeSchedule()
                       .from(settlementDate)
@@ -152,7 +153,8 @@ void example01() {
                       .withTerminationDateConvention(Unadjusted)
                       .withRule(DateGeneration::TwentiethIMM);
     CreditDefaultSwap cds_6m(Protection::Seller, nominal, quoted_spreads[1],
-                             cdsSchedule, Following, Actual365Fixed());
+                             cdsSchedule, Following, Actual365Fixed(),
+                             true, CreditDefaultSwap::ProtectionPaymentTime::atDefault);
 
     cdsSchedule = MakeSchedule()
                       .from(settlementDate)
@@ -162,7 +164,8 @@ void example01() {
                       .withTerminationDateConvention(Unadjusted)
                       .withRule(DateGeneration::TwentiethIMM);
     CreditDefaultSwap cds_1y(Protection::Seller, nominal, quoted_spreads[2],
-                             cdsSchedule, Following, Actual365Fixed());
+                             cdsSchedule, Following, Actual365Fixed(),
+                             true, CreditDefaultSwap::ProtectionPaymentTime::atDefault);
 
     cdsSchedule = MakeSchedule()
                       .from(settlementDate)
@@ -172,7 +175,8 @@ void example01() {
                       .withTerminationDateConvention(Unadjusted)
                       .withRule(DateGeneration::TwentiethIMM);
     CreditDefaultSwap cds_2y(Protection::Seller, nominal, quoted_spreads[3],
-                             cdsSchedule, Following, Actual365Fixed());
+                             cdsSchedule, Following, Actual365Fixed(),
+                             true, CreditDefaultSwap::ProtectionPaymentTime::atDefault);
 
     cds_3m.setPricingEngine(engine);
     cds_6m.setPricingEngine(engine);
@@ -338,11 +342,12 @@ std::copy(cdsSchedule.begin(), cdsSchedule.end(),
     // reference CDS
     Schedule sched( Date(22,September,2014), Date(20,December,2019), 3*Months,
             WeekendsOnly(), Following, Unadjusted, DateGeneration::CDS, false, Date(), Date() );
-    auto trade = ext::make_shared<CreditDefaultSwap>(
-            Protection::Buyer, 100000000.0, 0.01, sched,
-                                  Following, Actual360(), true, true,
+    ext::shared_ptr<CreditDefaultSwap> trade =
+        ext::shared_ptr<CreditDefaultSwap>(
+            new CreditDefaultSwap(Protection::Buyer, 100000000.0, 0.01, sched,
+                                  Following, Actual360(), true, CreditDefaultSwap::ProtectionPaymentTime::atDefault,
                                   Date(22,October,2014), ext::shared_ptr<Claim>(),
-                                  Actual360(true), true);
+                                  Actual360(true), true));
 
     auto cp = ext::dynamic_pointer_cast<FixedRateCoupon>(trade->coupons()[0]);
     std::cout << "first period = " << cp->accrualStartDate() << " to " << cp->accrualEndDate() <<
@@ -363,7 +368,7 @@ std::copy(cdsSchedule.begin(), cdsSchedule.end(),
 
     auto cds5y = ext::make_shared<SpreadCdsHelper>(
         0.00672658551, 4 * Years + 6 * Months, 1, WeekendsOnly(), Quarterly,
-        Following, DateGeneration::CDS, Actual360(), 0.4, rateTs, true, true,
+        Following, DateGeneration::CDS, Actual360(), 0.4, rateTs, true, CreditDefaultSwap::ProtectionPaymentTime::atDefault,
         Date(), Actual360(true), true, CreditDefaultSwap::ISDA);
 
     isdaCdsHelper.push_back(cds5y);
@@ -543,28 +548,28 @@ void example03() {
     CreditDefaultSwap::PricingModel model = CreditDefaultSwap::ISDA;
     auto cds6m = ext::make_shared<SpreadCdsHelper>(
         0.007927, 6 * Months, 1, WeekendsOnly(), Quarterly, Following,
-        DateGeneration::CDS, Actual360(), 0.4, isdaYts, true, true, Date(),
+        DateGeneration::CDS, Actual360(), 0.4, isdaYts, true, CreditDefaultSwap::ProtectionPaymentTime::atDefault, Date(),
         Actual360(true), true, model);
-    auto cds1y = ext::make_shared<SpreadCdsHelper>(
+    ext::shared_ptr<CdsHelper> cds1y(new SpreadCdsHelper(
         0.007927, 1 * Years, 1, WeekendsOnly(), Quarterly, Following,
-        DateGeneration::CDS, Actual360(), 0.4, isdaYts, true, true, Date(),
-        Actual360(true), true, model);
-    auto cds3y = ext::make_shared<SpreadCdsHelper>(
+        DateGeneration::CDS, Actual360(), 0.4, isdaYts, true, CreditDefaultSwap::ProtectionPaymentTime::atDefault, Date(),
+        Actual360(true), true, model));
+    ext::shared_ptr<CdsHelper> cds3y(new SpreadCdsHelper(
         0.012239, 3 * Years, 1, WeekendsOnly(), Quarterly, Following,
-        DateGeneration::CDS, Actual360(), 0.4, isdaYts, true, true, Date(),
-        Actual360(true), true, model);
-    auto cds5y = ext::make_shared<SpreadCdsHelper>(
+        DateGeneration::CDS, Actual360(), 0.4, isdaYts, true, CreditDefaultSwap::ProtectionPaymentTime::atDefault, Date(),
+        Actual360(true), true, model));
+    ext::shared_ptr<CdsHelper> cds5y(new SpreadCdsHelper(
         0.016979, 5 * Years, 1, WeekendsOnly(), Quarterly, Following,
-        DateGeneration::CDS, Actual360(), 0.4, isdaYts, true, true, Date(),
-        Actual360(true), true, model);
-    auto cds7y = ext::make_shared<SpreadCdsHelper>(
+        DateGeneration::CDS, Actual360(), 0.4, isdaYts, true, CreditDefaultSwap::ProtectionPaymentTime::atDefault, Date(),
+        Actual360(true), true, model));
+    ext::shared_ptr<CdsHelper> cds7y(new SpreadCdsHelper(
         0.019271, 7 * Years, 1, WeekendsOnly(), Quarterly, Following,
-        DateGeneration::CDS, Actual360(), 0.4, isdaYts, true, true, Date(),
-        Actual360(true), true, model);
-    auto cds10y = ext::make_shared<SpreadCdsHelper>(
+        DateGeneration::CDS, Actual360(), 0.4, isdaYts, true, CreditDefaultSwap::ProtectionPaymentTime::atDefault, Date(),
+        Actual360(true), true, model));
+    ext::shared_ptr<CdsHelper> cds10y(new SpreadCdsHelper(
         0.020860, 10 * Years, 1, WeekendsOnly(), Quarterly, Following,
-        DateGeneration::CDS, Actual360(), 0.4, isdaYts, true, true, Date(),
-        Actual360(true), true, model);
+        DateGeneration::CDS, Actual360(), 0.4, isdaYts, true, CreditDefaultSwap::ProtectionPaymentTime::atDefault, Date(),
+        Actual360(true), true, model));
 
     std::vector<ext::shared_ptr<DefaultProbabilityHelper>> isdaCdsHelpers;
 
diff --git a/Examples/CMakeLists.txt b/Examples/CMakeLists.txt
index b829ae72c9b..1014142c487 100644
--- Examples/CMakeLists.txt
+++ Examples/CMakeLists.txt
@@ -1,3 +1,7 @@
+if (QL_ENABLE_THREAD_SAFE_OBSERVER_PATTERN)
+    set(QL_EXAMPLES_LIBRARIES Boost::thread ${RT_LIBRARY})
+endif()
+
 add_subdirectory(BasketLosses)
 add_subdirectory(BermudanSwaption)
 add_subdirectory(Bonds)
diff --git a/Examples/MulticurveBootstrapping/MulticurveBootstrapping.cpp b/Examples/MulticurveBootstrapping/MulticurveBootstrapping.cpp
index 26df9028a91..bf4b7787e1f 100644
--- Examples/MulticurveBootstrapping/MulticurveBootstrapping.cpp
+++ Examples/MulticurveBootstrapping/MulticurveBootstrapping.cpp
@@ -24,7 +24,7 @@
     and then price a simple 5 year swap.
 
     Example based on market data in paper by F. M. Ametrano and M. Bianchetti,
-    Everything You Always Wanted to Know About Multiple Interest Rate Curve Boostrapping
+    Everything You Always Wanted to Know About Multiple Interest Rate Curve Bootstrapping
     but Were Afraid to Ask (April 2, 2013).
     http://ssrn.com/abstract=2219548
     Eonia curve was taken from Figure 25 and Euribor 6m from figure 31.
diff --git a/QuantLib.vcxproj b/QuantLib.vcxproj
index 366c4417e73..00b395879fc 100644
--- QuantLib.vcxproj
+++ QuantLib.vcxproj
@@ -86,27 +86,35 @@
   </ImportGroup>
   <ImportGroup Condition="'$(Configuration)|$(Platform)'=='Debug (static runtime)|Win32'" Label="PropertySheets">
     <Import Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" />
+    <Import Project="MSVC\quantlib.Win32.user.props" />
   </ImportGroup>
   <ImportGroup Condition="'$(Configuration)|$(Platform)'=='Debug (static runtime)|x64'" Label="PropertySheets">
     <Import Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" />
+    <Import Project="MSVC\quantlib.x64.user.props" />
   </ImportGroup>
   <ImportGroup Condition="'$(Configuration)|$(Platform)'=='Release (static runtime)|Win32'" Label="PropertySheets">
     <Import Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" />
+    <Import Project="MSVC\quantlib.Win32.user.props" />
   </ImportGroup>
   <ImportGroup Condition="'$(Configuration)|$(Platform)'=='Release (static runtime)|x64'" Label="PropertySheets">
     <Import Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" />
+    <Import Project="MSVC\quantlib.x64.user.props" />
   </ImportGroup>
   <ImportGroup Condition="'$(Configuration)|$(Platform)'=='Debug|Win32'" Label="PropertySheets">
     <Import Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" />
+    <Import Project="MSVC\quantlib.Win32.user.props" />
   </ImportGroup>
   <ImportGroup Condition="'$(Configuration)|$(Platform)'=='Debug|x64'" Label="PropertySheets">
     <Import Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" />
+    <Import Project="MSVC\quantlib.x64.user.props" />
   </ImportGroup>
   <ImportGroup Condition="'$(Configuration)|$(Platform)'=='Release|Win32'" Label="PropertySheets">
     <Import Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" />
+    <Import Project="MSVC\quantlib.Win32.user.props" />
   </ImportGroup>
   <ImportGroup Condition="'$(Configuration)|$(Platform)'=='Release|x64'" Label="PropertySheets">
     <Import Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" />
+    <Import Project="MSVC\quantlib.x64.user.props" />
   </ImportGroup>
   <PropertyGroup Label="UserMacros" />
   <PropertyGroup>
diff --git a/cmake/Platform.cmake b/cmake/Platform.cmake
index 13774663e2e..53b3dbc0610 100644
--- cmake/Platform.cmake
+++ cmake/Platform.cmake
@@ -2,10 +2,10 @@
 if (MSVC)
     # See cmake policy CMP00091
     # One of "MultiThreaded", "MultiThreadedDebug", "MultiThreadedDLL", "MultiThreadedDebugDLL"
-    if (NOT DEFINED CMAKE_MSVC_RUNTIME_LIBRARY)
-        set(CMAKE_MSVC_RUNTIME_LIBRARY
-            "MultiThreaded$<$<CONFIG:Debug>:Debug>")
-    endif()
+    set(BUILD_SHARED_LIBS OFF)
+    # build static libs always
+    set(CMAKE_MSVC_RUNTIME_LIBRARY
+        "MultiThreaded$<$<CONFIG:Debug>:Debug>$<$<BOOL:${MSVC_LINK_DYNAMIC_RUNTIME}>:DLL>")
 
     # Export all symbols so MSVC can populate the .lib and .dll
     if (BUILD_SHARED_LIBS)
@@ -15,6 +15,10 @@ if (MSVC)
         set(CMAKE_WINDOWS_EXPORT_ALL_SYMBOLS ON)
     endif()
 
+
+    add_definitions(/MP)
+
+
     add_compile_definitions(NOMINMAX)
 
     # caused by ql\time\date.cpp: warning C4996: 'localtime': This function or variable may be unsafe. Consider using localtime_s instead.
diff --git a/configure.ac b/configure.ac
index a285b2ab4f6..e2a6bef7cd6 100644
--- configure.ac
+++ configure.ac
@@ -201,8 +201,10 @@ if test "$ql_use_tsop" = "yes" ; then
              [Define this if you want to enable 
               thread-safe observer pattern.])
 fi
-
+# QL1.29 MergeConflict theirsi
 if test "$ql_use_sessions" = "yes" || test "$ql_use_tsop" = "yes"; then
+# QL1.29 MergeConflict ours
+# if test "$ql_use_sessions" = "yes" || test "$ql_use_tsop" = "yes" || test "$ql_use_safe_singleton_init" = "yes"; then
    QL_CHECK_BOOST_VERSION_1_58_OR_HIGHER
    QL_CHECK_BOOST_SIGNALS2
 else
diff --git a/ql/CMakeLists.txt b/ql/CMakeLists.txt
index fd644d1f506..582bea89af4 100644
--- ql/CMakeLists.txt
+++ ql/CMakeLists.txt
@@ -150,6 +150,7 @@ set(QL_SOURCES
     experimental/finitedifferences/glued1dmesher.cpp
     experimental/finitedifferences/vanillavppoption.cpp
     experimental/forward/analytichestonforwardeuropeanengine.cpp
+    experimental/fx/bachelierdeltacalculator.cpp
     experimental/inflation/cpicapfloorengines.cpp
     experimental/inflation/cpicapfloortermpricesurface.cpp
     experimental/inflation/yoycapfloortermpricesurface.cpp
@@ -688,8 +689,10 @@ set(QL_SOURCES
     pricingengines/basket/singlefactorbsmbasketengine.cpp
     pricingengines/basket/spreadblackscholesvanillaengine.cpp
     pricingengines/basket/stulzengine.cpp
+    pricingengines/bacheliercalculator.cpp
     pricingengines/blackcalculator.cpp
     pricingengines/blackdeltacalculator.cpp
+    pricingengines/diffusioncalculator.cpp
     pricingengines/bacheliercalculator.cpp
     pricingengines/blackformula.cpp
     pricingengines/blackscholescalculator.cpp
@@ -1916,9 +1923,11 @@ set(QL_HEADERS
     pricingengines/basket/singlefactorbsmbasketengine.hpp
     pricingengines/basket/spreadblackscholesvanillaengine.hpp
     pricingengines/basket/stulzengine.hpp
+    pricingengines/bacheliercalculator.hpp
     pricingengines/blackcalculator.hpp
-    pricingengines/blackdeltacalculator.hpp
+    pricingengines/diffusioncalculator.hpp
     pricingengines/bacheliercalculator.hpp
+    pricingengines/blackdeltacalculator.hpp
     pricingengines/blackformula.hpp
     pricingengines/blackscholescalculator.hpp
     pricingengines/bond/binomialconvertibleengine.hpp
@@ -2089,6 +2098,7 @@ set(QL_HEADERS
     termstructures/interpolatedcurve.hpp
     termstructures/iterativebootstrap.hpp
     termstructures/localbootstrap.hpp
+    termstructures/multicurve.hpp
     termstructures/volatility/abcd.hpp
     termstructures/volatility/abcdcalibration.hpp
     termstructures/volatility/atmadjustedsmilesection.hpp
@@ -2103,6 +2113,7 @@ set(QL_HEADERS
     termstructures/volatility/equityfx/blackconstantvol.hpp
     termstructures/volatility/equityfx/blackvariancecurve.hpp
     termstructures/volatility/equityfx/blackvariancesurface.hpp
+    termstructures/volatility/equityfx/blackvariancetimeextrapolation.hpp
     termstructures/volatility/equityfx/blackvoltermstructure.hpp
     termstructures/volatility/equityfx/fixedlocalvolsurface.hpp
     termstructures/volatility/equityfx/gridmodellocalvolsurface.hpp
@@ -2405,6 +2416,24 @@ set_target_properties(ql_library PROPERTIES
     VERSION ${QUANTLIB_VERSION}
     SOVERSION ${QUANTLIB_VERSION_MAJOR})
 
+if (QL_USE_PCH)
+target_precompile_headers(ql_library
+  PUBLIC
+    <ql/any.hpp>
+    <ql/errors.hpp>
+    <ql/index.hpp>
+    <ql/indexes/indexmanager.hpp>
+    <ql/instrument.hpp>
+    <ql/indexes/interestrateindex.hpp>
+    <ql/math/array.hpp>
+    <ql/math/interpolations/cubicinterpolation.hpp>
+    <ql/math/matrix.hpp>
+    <ql/methods/finitedifferences/operators/fdmlinearop.hpp>
+    <ql/patterns/observable.hpp>
+    <ql/qldefines.hpp>
+    <ql/termstructure.hpp>)
+endif()
+
 target_compile_definitions(ql_library PRIVATE
     QL_COMPILATION)
 
@@ -2427,9 +2456,7 @@ endif()
 target_include_directories(ql_library PUBLIC
     $<BUILD_INTERFACE:${PROJECT_BINARY_DIR}>
     $<BUILD_INTERFACE:${PROJECT_SOURCE_DIR}>
-    $<INSTALL_INTERFACE:${QL_INSTALL_INCLUDEDIR}>)
-
-target_include_directories(ql_library SYSTEM PUBLIC
+    $<INSTALL_INTERFACE:${QL_INSTALL_INCLUDEDIR}>
     ${Boost_INCLUDE_DIRS}
     ${OpenMP_CXX_INCLUDE_DIRS})
 
diff --git a/ql/auto_link.hpp b/ql/auto_link.hpp
index cd385d8617f..4abc973555e 100644
--- ql/auto_link.hpp
+++ ql/auto_link.hpp
@@ -61,4 +61,16 @@
 #  pragma message("Will (need to) link to lib file: " QL_LIB_NAME)
 #endif
 
+// QL1.29 MergeConflict ours removed
+/* Also, these Boost libraries might be needed */
+//#if defined(QL_ENABLE_THREAD_SAFE_OBSERVER_PATTERN)
+//#  define BOOST_LIB_NAME boost_system
+//#  include <boost/config/auto_link.hpp>
+//#  undef BOOST_LIB_NAME
+//#  define BOOST_LIB_NAME boost_thread
+//#  include <boost/config/auto_link.hpp>
+//#  undef BOOST_LIB_NAME
+//#endif
+
+
 #endif
diff --git a/ql/cashflows/averagebmacoupon.cpp b/ql/cashflows/averagebmacoupon.cpp
index 1cabc10a793..bcb3b80a519 100644
--- ql/cashflows/averagebmacoupon.cpp
+++ ql/cashflows/averagebmacoupon.cpp
@@ -129,14 +129,16 @@ namespace QuantLib {
                                                  new AverageBMACouponPricer));
     }
 
-    Date AverageBMACoupon::fixingDate() const {
-        QL_FAIL("no single fixing date for average-BMA coupon");
-    }
-
     std::vector<Date> AverageBMACoupon::fixingDates() const {
         return fixingSchedule_.dates();
     }
 
+    Date AverageBMACoupon::fixingDate() const {
+        QL_REQUIRE(fixingSchedule_.dates().size() >= 2,
+                   "AverageBMACoupon::fixingDate(): expected at least 2 dates in fixing schedule");
+        return *std::next(fixingSchedule_.dates().end(), -2);
+    }
+
     Rate AverageBMACoupon::indexFixing() const {
         QL_FAIL("no single fixing for average-BMA coupon");
     }
@@ -161,10 +163,10 @@ namespace QuantLib {
         }
     }
 
-
     AverageBMALeg::AverageBMALeg(Schedule schedule, ext::shared_ptr<BMAIndex> index)
     : schedule_(std::move(schedule)), index_(std::move(index)) {}
 
+
     AverageBMALeg& AverageBMALeg::withNotionals(Real notional) {
         notionals_ = std::vector<Real>(1,notional);
         return *this;
@@ -182,12 +184,22 @@ namespace QuantLib {
         return *this;
     }
 
+    AverageBMALeg& AverageBMALeg::withPaymentCalendar(const Calendar& paymentcalendar) {
+        paymentCalendar_ = paymentcalendar;
+        return *this;
+    }
+
     AverageBMALeg& AverageBMALeg::withPaymentAdjustment(
                                            BusinessDayConvention convention) {
         paymentAdjustment_ = convention;
         return *this;
     }
 
+    AverageBMALeg& AverageBMALeg::withPaymentLag(Integer lag) {
+        paymentLag_ = lag;
+        return *this;
+    }
+
     AverageBMALeg& AverageBMALeg::withGearings(Real gearing) {
         gearings_ = std::vector<Real>(1,gearing);
         return *this;
@@ -210,6 +222,12 @@ namespace QuantLib {
         return *this;
     }
 
+    AverageBMALeg& AverageBMALeg::withPaymentDates(const std::vector<Date>& paymentDates)
+    {
+        paymentDates_ = paymentDates;
+        return *this;
+    }
+
     AverageBMALeg::operator Leg() const {
 
         QL_REQUIRE(!notionals_.empty(), "no notional given");
@@ -217,7 +235,9 @@ namespace QuantLib {
         Leg cashflows;
 
         // the following is not always correct
-        Calendar calendar = schedule_.calendar();
+
+		Calendar calendar = schedule_.calendar();
+        Calendar paymentcalendar = paymentCalendar_.empty() ? schedule_.calendar() : paymentCalendar_;
 
         Date refStart, start, refEnd, end;
         Date paymentDate;
@@ -226,7 +246,11 @@ namespace QuantLib {
         for (Size i=0; i<n; ++i) {
             refStart = start = schedule_.date(i);
             refEnd   =   end = schedule_.date(i+1);
-            paymentDate = calendar.adjust(end, paymentAdjustment_);
+            if (!paymentDates_.empty()) {
+                paymentDate = paymentDates_[i];
+            } else {
+                paymentDate = calendar.advance(end, paymentLag_, Days, paymentAdjustment_);
+            }
             if (i == 0 && schedule_.hasIsRegular() && !schedule_.isRegular(i+1)
                 && schedule_.hasTenor())
                 refStart = calendar.adjust(end - schedule_.tenor(),
diff --git a/ql/cashflows/averagebmacoupon.hpp b/ql/cashflows/averagebmacoupon.hpp
index bb07780863c..8d007707534 100644
--- ql/cashflows/averagebmacoupon.hpp
+++ ql/cashflows/averagebmacoupon.hpp
@@ -56,7 +56,7 @@ namespace QuantLib {
 
         //! \name FloatingRateCoupon interface
         //@{
-        //! not applicable here; use fixingDates() instead
+        //! the date when the coupon is fully determined
         Date fixingDate() const override;
         //! fixing dates of the rates to be averaged
         std::vector<Date> fixingDates() const;
@@ -86,20 +86,26 @@ namespace QuantLib {
         AverageBMALeg& withNotionals(Real notional);
         AverageBMALeg& withNotionals(const std::vector<Real>& notionals);
         AverageBMALeg& withPaymentDayCounter(const DayCounter&);
+        AverageBMALeg& withPaymentCalendar(const Calendar&);
         AverageBMALeg& withPaymentAdjustment(BusinessDayConvention);
+        AverageBMALeg& withPaymentLag(Integer lag);
         AverageBMALeg& withGearings(Real gearing);
         AverageBMALeg& withGearings(const std::vector<Real>& gearings);
         AverageBMALeg& withSpreads(Spread spread);
         AverageBMALeg& withSpreads(const std::vector<Spread>& spreads);
+        AverageBMALeg& withPaymentDates(const std::vector<Date>& paymentDates);
         operator Leg() const;
       private:
         Schedule schedule_;
         ext::shared_ptr<BMAIndex> index_;
         std::vector<Real> notionals_;
         DayCounter paymentDayCounter_;
+        Calendar paymentCalendar_;
         BusinessDayConvention paymentAdjustment_ = Following;
+        Natural paymentLag_ = 0;
         std::vector<Real> gearings_;
         std::vector<Spread> spreads_;
+        std::vector<Date> paymentDates_;
     };
 
 }
diff --git a/ql/cashflows/capflooredcoupon.cpp b/ql/cashflows/capflooredcoupon.cpp
index 2d82568c655..a76501e3dae 100644
--- ql/cashflows/capflooredcoupon.cpp
+++ ql/cashflows/capflooredcoupon.cpp
@@ -82,6 +82,11 @@ namespace QuantLib {
         underlying_->deepUpdate();
     }
 
+    void CappedFlooredCoupon::alwaysForwardNotifications() {
+        LazyObject::alwaysForwardNotifications();
+        underlying_->alwaysForwardNotifications();
+    }
+
     void CappedFlooredCoupon::performCalculations() const {
         QL_REQUIRE(underlying_->pricer(), "pricer not set");
         Rate swapletRate = underlying_->rate();
@@ -92,6 +97,7 @@ namespace QuantLib {
         if(isCapped_)
             capletRate = underlying_->pricer()->capletRate(effectiveCap());
         rate_ =  swapletRate + floorletRate - capletRate;
+        additionalResults_ = underlying_->additionalResults();
     }
 
     Rate CappedFlooredCoupon::rate() const {
diff --git a/ql/cashflows/capflooredcoupon.hpp b/ql/cashflows/capflooredcoupon.hpp
index 00b7c061f74..626affa95dd 100644
--- ql/cashflows/capflooredcoupon.hpp
+++ ql/cashflows/capflooredcoupon.hpp
@@ -67,6 +67,7 @@ namespace QuantLib {
         //! \name LazyObject interface
         //@{
         void performCalculations() const override;
+        void alwaysForwardNotifications();
         //@}
         //! \name Coupon interface
         //@{
diff --git a/ql/cashflows/cashflowvectors.hpp b/ql/cashflows/cashflowvectors.hpp
index a70872d5eb5..8f644c97e2d 100644
--- ql/cashflows/cashflowvectors.hpp
+++ ql/cashflows/cashflowvectors.hpp
@@ -75,7 +75,8 @@ namespace QuantLib {
                     Period exCouponPeriod = Period(),
                     Calendar exCouponCalendar = Calendar(),
                     BusinessDayConvention exCouponAdjustment = Unadjusted,
-                    bool exCouponEndOfMonth = false) {
+                    bool exCouponEndOfMonth = false,
+                    const std::vector<Date>& paymentDates = {}) {
 
         Size n = schedule.size()-1;
         QL_REQUIRE(!nominals.empty(), "no notional given");
@@ -94,6 +95,11 @@ namespace QuantLib {
         QL_REQUIRE(floors.size()<=n,
                    "too many floors (" << floors.size() <<
                    "), only " << n << " required");
+        QL_REQUIRE(paymentDates.empty() || paymentDates.size() == n,
+                   "Expected the number of explicit payment dates (" <<
+                   paymentDates.size() <<
+                   ") to equal the number of calculation periods ("
+                   << n << ")");
         QL_REQUIRE(!isZero || !isInArrears,
                    "in-arrears and zero features are not compatible");
 
@@ -112,8 +118,17 @@ namespace QuantLib {
         for (Size i=0; i<n; ++i) {
             refStart = start = schedule.date(i);
             refEnd   =   end = schedule.date(i+1);
-            Date paymentDate =
-                isZero ? lastPaymentDate : paymentCalendar.advance(end, paymentLag, Days, paymentAdj);
+            Date paymentDate;
+            if (isZero) {
+                paymentDate = lastPaymentDate;
+            } else {
+                // If explicit payment dates provided, use them.
+                if (!paymentDates.empty()) {
+                    paymentDate = paymentDates[i];
+                } else {
+                    paymentDate = paymentCalendar.advance(end, paymentLag, Days, paymentAdj);
+                }
+            }
             if (i==0   && (schedule.hasIsRegular() && schedule.hasTenor() && !schedule.isRegular(i+1))) {
                 BusinessDayConvention bdc = schedule.businessDayConvention();
                 refStart = calendar.adjust(end - schedule.tenor(), bdc);
@@ -195,7 +210,8 @@ namespace QuantLib {
                         bool isPutATMIncluded,
                         const std::vector<Rate>& putDigitalPayoffs,
                         const ext::shared_ptr<DigitalReplication>& replication,
-                        bool nakedOption = false) {
+                        bool nakedOption = false,
+                        Calendar paymentCalendar = Calendar()) {
         Size n = schedule.size()-1;
         QL_REQUIRE(!nominals.empty(), "no notional given");
         QL_REQUIRE(nominals.size() <= n,
@@ -217,7 +233,10 @@ namespace QuantLib {
         Leg leg; leg.reserve(n);
 
         // the following is not always correct
-        const Calendar& calendar = schedule.calendar();
+        Calendar calendar = schedule.calendar();
+        if (paymentCalendar.empty()) {
+            paymentCalendar = calendar;
+        }
 
         Date refStart, start, refEnd, end;
         Date paymentDate;
@@ -225,7 +244,7 @@ namespace QuantLib {
         for (Size i=0; i<n; ++i) {
             refStart = start = schedule.date(i);
             refEnd   =   end = schedule.date(i+1);
-            paymentDate = calendar.adjust(end, paymentAdj);
+            paymentDate = paymentCalendar.adjust(end, paymentAdj);
             if (i==0 && (schedule.hasIsRegular() && schedule.hasTenor() && !schedule.isRegular(i+1))) {
                 BusinessDayConvention bdc = schedule.businessDayConvention();
                 refStart = calendar.adjust(end - schedule.tenor(), bdc);
diff --git a/ql/cashflows/cmscoupon.cpp b/ql/cashflows/cmscoupon.cpp
index 597d9b22c50..9fe4a67ac5c 100644
--- ql/cashflows/cmscoupon.cpp
+++ ql/cashflows/cmscoupon.cpp
@@ -55,7 +55,9 @@ namespace QuantLib {
 
 
     CmsLeg::CmsLeg(Schedule schedule, ext::shared_ptr<SwapIndex> swapIndex)
-    : schedule_(std::move(schedule)), swapIndex_(std::move(swapIndex)) {
+        : schedule_(std::move(schedule)), swapIndex_(std::move(swapIndex)),
+          paymentLag_(0), inArrears_(false), zeroPayments_(false),
+          exCouponAdjustment_(Following), exCouponEndOfMonth_(false) {
         QL_REQUIRE(swapIndex_, "no index provided");
     }
 
@@ -79,6 +81,11 @@ namespace QuantLib {
         return *this;
     }
 
+    CmsLeg& CmsLeg::withPaymentLag(Natural lag) {
+        paymentLag_ = lag;
+        return *this;
+    }
+
     CmsLeg& CmsLeg::withFixingDays(Natural fixingDays) {
         fixingDays_ = std::vector<Natural>(1, fixingDays);
         return *this;
@@ -139,6 +146,11 @@ namespace QuantLib {
         return *this;
     }
 
+    CmsLeg& CmsLeg::withPaymentCalendar(const Calendar& cal) {
+        paymentCalendar_ = cal;
+        return *this;
+    }
+
     CmsLeg& CmsLeg::withExCouponPeriod(
                                 const Period& period,
                                 const Calendar& cal,
@@ -151,12 +163,17 @@ namespace QuantLib {
         return *this;
     }
 
+    CmsLeg& CmsLeg::withPaymentDates(const std::vector<Date> paymentDates) {
+        paymentDates_ = paymentDates;
+        return *this;
+    }
+
     CmsLeg::operator Leg() const {
         return FloatingLeg<SwapIndex, CmsCoupon, CappedFlooredCmsCoupon>(
                          schedule_, notionals_, swapIndex_, paymentDayCounter_,
                          paymentAdjustment_, fixingDays_, gearings_, spreads_,
                          caps_, floors_, inArrears_, zeroPayments_,
-                         0, Calendar(),
+                         paymentLag_, Calendar(),
                          exCouponPeriod_, exCouponCalendar_,
                          exCouponAdjustment_, exCouponEndOfMonth_);
    }
diff --git a/ql/cashflows/cmscoupon.hpp b/ql/cashflows/cmscoupon.hpp
index c2781876b22..0e77066cada 100644
--- ql/cashflows/cmscoupon.hpp
+++ ql/cashflows/cmscoupon.hpp
@@ -73,7 +73,9 @@ namespace QuantLib {
         CmsLeg& withNotionals(Real notional);
         CmsLeg& withNotionals(const std::vector<Real>& notionals);
         CmsLeg& withPaymentDayCounter(const DayCounter&);
+        CmsLeg& withPaymentCalendar(const Calendar& cal);
         CmsLeg& withPaymentAdjustment(BusinessDayConvention);
+        CmsLeg& withPaymentLag(Natural lag);
         CmsLeg& withFixingDays(Natural fixingDays);
         CmsLeg& withFixingDays(const std::vector<Natural>& fixingDays);
         CmsLeg& withGearings(Real gearing);
@@ -90,13 +92,16 @@ namespace QuantLib {
                                    const Calendar&,
                                    BusinessDayConvention,
                                    bool endOfMonth);
+        CmsLeg& withPaymentDates(const std::vector<Date> paymentDates);
         operator Leg() const;
       private:
         Schedule schedule_;
         ext::shared_ptr<SwapIndex> swapIndex_;
         std::vector<Real> notionals_;
         DayCounter paymentDayCounter_;
+        Calendar paymentCalendar_;
         BusinessDayConvention paymentAdjustment_ = Following;
+        Natural paymentLag_ = 0;
         std::vector<Natural> fixingDays_;
         std::vector<Real> gearings_;
         std::vector<Spread> spreads_;
@@ -106,6 +111,7 @@ namespace QuantLib {
         Calendar exCouponCalendar_;
         BusinessDayConvention exCouponAdjustment_ = Following;
         bool exCouponEndOfMonth_ = false;
+        std::vector<Date> paymentDates_;
     };
 
 }
diff --git a/ql/cashflows/couponpricer.cpp b/ql/cashflows/couponpricer.cpp
index 56e05bb3cd7..fbfd14c8058 100644
--- ql/cashflows/couponpricer.cpp
+++ ql/cashflows/couponpricer.cpp
@@ -62,7 +62,7 @@ namespace QuantLib {
         if (useIndexedCoupon_) {
             coupon.fixingEndDate_ = coupon.fixingMaturityDate_;
         } else {
-            if (coupon.isInArrears_)
+            if (coupon.isInArrears_ || coupon.fixingDays_ == Null<Size>())
                 coupon.fixingEndDate_ = coupon.fixingMaturityDate_;
             else { // par coupon approximation
                 Date nextFixingDate = coupon.iborIndex()->fixingCalendar().advance(
diff --git a/ql/cashflows/cpicoupon.cpp b/ql/cashflows/cpicoupon.cpp
index a633a6014ae..5d2bc0697a1 100644
--- ql/cashflows/cpicoupon.cpp
+++ ql/cashflows/cpicoupon.cpp
@@ -26,7 +26,6 @@
 #include <ql/time/daycounters/thirty360.hpp>
 #include <utility>
 
-
 namespace QuantLib {
 
     CPICoupon::CPICoupon(Real baseCPI,
@@ -135,6 +134,39 @@ namespace QuantLib {
     }
 
 
+    Rate CPICoupon::indexFixing(const Date& observationDate, const Date& paymentDate) const {
+        // you may want to modify the interpolation of the index
+        // this gives you the chance
+
+        Rate I1;
+        // what interpolation do we use? Index / flat / linear
+        if (observationInterpolation() == CPI::AsIndex) {
+            I1 = cpiIndex()->fixing(observationDate);
+
+        } else {
+            // work out what it should be
+            std::pair<Date, Date> observationInflationPeriod =
+                inflationPeriod(observationDate, cpiIndex()->frequency());
+            Real indexStart = cpiIndex()->fixing(observationInflationPeriod.first);
+            if (observationInterpolation() == CPI::Linear) {
+                std::pair<Date, Date> couponInflationPeriod =
+                    inflationPeriod(paymentDate, cpiIndex()->frequency());
+                Real indexEnd =
+                    cpiIndex()->fixing(observationInflationPeriod.second + Period(1, Days));
+                // linear interpolation
+                I1 = indexStart +
+                     (indexEnd - indexStart) * (paymentDate - couponInflationPeriod.first) /
+                         (Real)((couponInflationPeriod.second + Period(1, Days)) -
+                             couponInflationPeriod.first); // can't get to next period's value within current period
+            } else {
+                // no interpolation, i.e. flat = constant, so use start-of-period value
+                I1 = indexStart;
+            }
+
+        }
+        return I1;
+    }
+
 
     CPICashFlow::CPICashFlow(Real notional,
                              const ext::shared_ptr<ZeroInflationIndex>& index,
@@ -166,14 +198,34 @@ namespace QuantLib {
     }
 
     Real CPICashFlow::baseFixing() const {
-        if (baseFixing_ != Null<Rate>())
-            return baseFixing_;
-        else
-            return CPI::laggedFixing(cpiIndex(), baseDate(), 0 * Months, interpolation_);
+        return baseFixing_;
     }
 
     Real CPICashFlow::indexFixing() const {
-        return CPI::laggedFixing(cpiIndex(), observationDate_, observationLag_, interpolation_);
+        if (observationDate_ != Date()) {
+            return CPI::laggedFixing(cpiIndex(), observationDate_, observationLag_, interpolation_);
+        } else {
+            // we get to this branch when the deprecated constructor was used; it will be phased out
+            return CPI::laggedFixing(cpiIndex(), fixingDate() + observationLag_, observationLag_,
+                                     interpolation_);
+        }
+    }
+
+    void CPICashFlow::performCalculations() const {
+
+        Rate I0 = baseFixing();
+
+        // If BaseFixing is null, use the observed index fixing
+        if (I0 == Null<Rate>()) {
+            I0 = CPI::laggedFixing(cpiIndex(), baseDate() + observationLag(), observationLag(), interpolation());
+        }
+
+        Rate I1 = indexFixing();
+
+        if (growthOnly())
+            amount_ = notional() * (I1 / I0 - 1.0);
+        else
+            amount_ = notional() * (I1 / I0);
     }
 
     CPILeg::CPILeg(Schedule schedule,
@@ -182,7 +234,7 @@ namespace QuantLib {
                    const Period& observationLag)
     : schedule_(std::move(schedule)), index_(std::move(index)), baseCPI_(baseCPI),
       observationLag_(observationLag), paymentDayCounter_(Thirty360(Thirty360::BondBasis)),
-      paymentCalendar_(schedule_.calendar()) {}
+      paymentCalendar_(schedule_.calendar()), baseDate_(Null<Date>()) {}
 
 
     CPILeg& CPILeg::withObservationInterpolation(CPI::InterpolationType interp) {
diff --git a/ql/cashflows/cpicoupon.hpp b/ql/cashflows/cpicoupon.hpp
index febbce74183..324a75db089 100644
--- ql/cashflows/cpicoupon.hpp
+++ ql/cashflows/cpicoupon.hpp
@@ -125,6 +125,18 @@ namespace QuantLib {
         //! how do you observe the index?  as-is, flat, linear?
         CPI::InterpolationType observationInterpolation() const;
 
+        /*! \deprecated Use CPI::laggedFixing instead.
+                        Deprecated in version 1.26.
+        */
+        QL_DEPRECATED
+        Rate indexObservation(const Date& onDate) const;
+
+        /*! \deprecated Renamed to adjustedIndexGrowth.
+                        Deprecated in version 1.26.
+        */
+        QL_DEPRECATED
+        Rate adjustedFixing() const;
+
         //! index used
         ext::shared_ptr<ZeroInflationIndex> cpiIndex() const;
         //@}
@@ -156,6 +168,13 @@ namespace QuantLib {
         Date baseDate_;
 
         bool checkPricerImpl(const ext::shared_ptr<InflationCouponPricer>&) const override;
+        // use to calculate for fixing date, allows change of
+        // interpolation w.r.t. index.  Can also be used ahead of time
+        /*! \deprecated Use CPI::laggedFixing instead.
+                        Deprecated in version 1.26.
+        */
+        QL_DEPRECATED
+        Rate indexFixing(const Date & observationDate, const Date& paymentDate) const;
     };
 
 
@@ -189,6 +208,8 @@ namespace QuantLib {
 
         ext::shared_ptr<ZeroInflationIndex> cpiIndex() const;
 
+        //! redefined to use baseFixing() and interpolation
+        void performCalculations() const override;
         Real indexFixing() const override;
 
       protected:
@@ -280,6 +301,16 @@ namespace QuantLib {
         return observationInterpolation_;
     }
 
+    inline Rate CPICoupon::indexObservation(const Date& onDate) const {
+        QL_DEPRECATED_DISABLE_WARNING
+        return indexFixing(onDate, paymentDate_);
+        QL_DEPRECATED_ENABLE_WARNING
+    }
+
+    inline Rate CPICoupon::adjustedFixing() const {
+        return adjustedIndexGrowth();
+    }
+
     inline ext::shared_ptr<ZeroInflationIndex> CPICoupon::cpiIndex() const {
         return ext::dynamic_pointer_cast<ZeroInflationIndex>(index());
     }
diff --git a/ql/cashflows/digitalcmscoupon.cpp b/ql/cashflows/digitalcmscoupon.cpp
index 49c6c17c805..46be6f09f06 100644
--- ql/cashflows/digitalcmscoupon.cpp
+++ ql/cashflows/digitalcmscoupon.cpp
@@ -190,6 +190,11 @@ namespace QuantLib {
         return *this;
     }
 
+    DigitalCmsLeg& DigitalCmsLeg::withPaymentDates(const std::vector<Date>& paymentDates) {
+        paymentDates_ = paymentDates;
+        return *this;
+    }
+
     DigitalCmsLeg::operator Leg() const {
         return FloatingDigitalLeg<SwapIndex, CmsCoupon, DigitalCmsCoupon>(
                             schedule_, notionals_, index_, paymentDayCounter_,
diff --git a/ql/cashflows/digitalcmscoupon.hpp b/ql/cashflows/digitalcmscoupon.hpp
index f52f3838b4e..7aa82858c1b 100644
--- ql/cashflows/digitalcmscoupon.hpp
+++ ql/cashflows/digitalcmscoupon.hpp
@@ -84,6 +84,7 @@ namespace QuantLib {
         DigitalCmsLeg& withPutPayoffs(const std::vector<Rate>& payoffs);
         DigitalCmsLeg& withReplication(const ext::shared_ptr<DigitalReplication>&);
         DigitalCmsLeg& withNakedOption(bool nakedOption = true);
+        DigitalCmsLeg& withPaymentDates(const std::vector<Date>& paymentDates);
 
         operator Leg() const;
       private:
@@ -104,6 +105,7 @@ namespace QuantLib {
         bool putATM_ = false;
         ext::shared_ptr<DigitalReplication> replication_;
         bool nakedOption_;
+        std::vector<QuantLib::Date> paymentDates_;
     };
 
 }
diff --git a/ql/cashflows/digitalcoupon.cpp b/ql/cashflows/digitalcoupon.cpp
index 0721d484301..d2753cdb860 100644
--- ql/cashflows/digitalcoupon.cpp
+++ ql/cashflows/digitalcoupon.cpp
@@ -173,6 +173,8 @@ namespace QuantLib {
         }
 
         registerWith(underlying);
+        if (nakedOption_)
+            underlying_->alwaysForwardNotifications();
     }
 
 
@@ -223,6 +225,11 @@ namespace QuantLib {
         underlying_->deepUpdate();
     }
 
+    void DigitalCoupon::alwaysForwardNotifications() {
+        LazyObject::alwaysForwardNotifications();
+        underlying_->alwaysForwardNotifications();
+    }
+
     void DigitalCoupon::performCalculations() const {
 
         QL_REQUIRE(underlying_->pricer(), "pricer not set");
diff --git a/ql/cashflows/digitalcoupon.hpp b/ql/cashflows/digitalcoupon.hpp
index 18cf0de3072..98978216254 100644
--- ql/cashflows/digitalcoupon.hpp
+++ ql/cashflows/digitalcoupon.hpp
@@ -101,6 +101,7 @@ namespace QuantLib {
         //! \name LazyObject interface
         //@{
         void performCalculations() const override;
+        void alwaysForwardNotifications();
         //@}
         //! \name Coupon interface
         //@{
diff --git a/ql/cashflows/fixedratecoupon.cpp b/ql/cashflows/fixedratecoupon.cpp
index 9074050fdc6..3a0992ce221 100644
--- ql/cashflows/fixedratecoupon.cpp
+++ ql/cashflows/fixedratecoupon.cpp
@@ -173,17 +173,29 @@ namespace QuantLib {
         return *this;
     }
 
+    FixedRateLeg& FixedRateLeg::withPaymentDates(const std::vector<Date>& paymentDates) {
+        paymentDates_ = paymentDates;
+        return *this;
+    }
+
+
     FixedRateLeg::operator Leg() const {
 
         QL_REQUIRE(!couponRates_.empty(), "no coupon rates given");
         QL_REQUIRE(!notionals_.empty(), "no notional given");
+        QL_REQUIRE(paymentDates_.empty() || paymentDates_.size() == schedule_.size() - 1,
+                   "Expected the number of explicit payment dates ("
+                       << paymentDates_.size() << ") to equal the number of calculation periods ("
+                       << schedule_.size() - 1 << ")");
 
         Leg leg;
         leg.reserve(schedule_.size()-1);
 
         // first period might be short or long
         Date start = schedule_.date(0), end = schedule_.date(1);
-        Date paymentDate = paymentCalendar_.advance(end, paymentLag_, Days, paymentAdjustment_);
+        Date paymentDate = paymentDates_.empty() ? paymentCalendar_.advance(end, paymentLag_, Days,
+                                                                            paymentAdjustment_) :
+                                                   paymentDates_[0];
         Date exCouponDate;
         InterestRate rate = couponRates_[0];
         Real nominal = notionals_[0];
@@ -212,7 +224,10 @@ namespace QuantLib {
         // regular periods
         for (Size i=2; i<schedule_.size()-1; ++i) {
             start = end; end = schedule_.date(i);
-            Date paymentDate = paymentCalendar_.advance(end, paymentLag_, Days, paymentAdjustment_);
+            Date paymentDate =
+                paymentDates_.empty() ?
+                    paymentCalendar_.advance(end, paymentLag_, Days, paymentAdjustment_) :
+                    paymentDates_[i - 1];
             if (exCouponPeriod_ != Period())
             {
                 exCouponDate = exCouponCalendar_.advance(paymentDate,
@@ -236,7 +251,10 @@ namespace QuantLib {
             // last period might be short or long
             Size N = schedule_.size();
             start = end; end = schedule_.date(N-1);
-            Date paymentDate = paymentCalendar_.advance(end, paymentLag_, Days, paymentAdjustment_);
+            Date paymentDate =
+                paymentDates_.empty() ?
+                    paymentCalendar_.advance(end, paymentLag_, Days, paymentAdjustment_) :
+                    paymentDates_[N - 2];
             if (exCouponPeriod_ != Period())
             {
                 exCouponDate = exCouponCalendar_.advance(paymentDate,
diff --git a/ql/cashflows/fixedratecoupon.hpp b/ql/cashflows/fixedratecoupon.hpp
index c49c4bb685b..0ec6366cfd5 100644
--- ql/cashflows/fixedratecoupon.hpp
+++ ql/cashflows/fixedratecoupon.hpp
@@ -111,6 +111,7 @@ namespace QuantLib {
                                          const Calendar&,
                                          BusinessDayConvention,
                                          bool endOfMonth = false);
+        FixedRateLeg& withPaymentDates(const std::vector<Date>& paymentDates);
         operator Leg() const;
       private:
         Schedule schedule_;
@@ -124,6 +125,7 @@ namespace QuantLib {
         Calendar exCouponCalendar_;
         BusinessDayConvention exCouponAdjustment_ = Following;
         bool exCouponEndOfMonth_ = false;
+        std::vector<Date> paymentDates_;
     };
 
     inline void FixedRateCoupon::accept(AcyclicVisitor& v) {
diff --git a/ql/cashflows/floatingratecoupon.cpp b/ql/cashflows/floatingratecoupon.cpp
index 6fbb1503237..0fb788bb861 100644
--- ql/cashflows/floatingratecoupon.cpp
+++ ql/cashflows/floatingratecoupon.cpp
@@ -53,6 +53,43 @@ namespace QuantLib {
         if (dayCounter_.empty())
             dayCounter_ = index_->dayCounter();
 
+        // if isInArrears_ fix at the end of period
+        Date refDate = isInArrears_ ? accrualEndDate_ : accrualStartDate_;
+        fixingDate_ = index_->fixingCalendar().advance(refDate, -static_cast<Integer>(fixingDays_),
+                                                       Days, Preceding);
+
+        registerWith(index_);
+        registerWith(Settings::instance().evaluationDate());
+    }
+
+    FloatingRateCoupon::FloatingRateCoupon(const Date& paymentDate,
+                                           Real nominal,
+                                           const Date& startDate,
+                                           const Date& endDate,
+                                           const Date& fixingDate,
+                                           const ext::shared_ptr<InterestRateIndex>& index,
+                                           Real gearing,
+                                           Spread spread,
+                                           const Date& refPeriodStart,
+                                           const Date& refPeriodEnd,
+                                           DayCounter dayCounter,
+                                           bool isInArrears,
+                                           const Date& exCouponDate)
+    : Coupon(paymentDate, nominal, startDate, endDate, refPeriodStart, refPeriodEnd, exCouponDate),
+      index_(index), dayCounter_(std::move(dayCounter)), fixingDays_(Null<Size>()),
+      gearing_(gearing), spread_(spread), isInArrears_(isInArrears) {
+        QL_REQUIRE(index_, "no index provided");
+        QL_REQUIRE(gearing_!=0, "Null gearing not allowed");
+
+        if (dayCounter_.empty())
+            dayCounter_ = index_->dayCounter();
+
+        QL_REQUIRE(index_->fixingCalendar().isBusinessDay(fixingDate),
+                   "FloatingRateCoupon: fixing date " << fixingDate
+                                                      << " not valid for fixing calendar "
+                                                      << index_->fixingCalendar());
+        fixingDate_ = fixingDate;
+
         registerWith(index_);
         registerWith(Settings::instance().evaluationDate());
     }
@@ -77,10 +114,12 @@ namespace QuantLib {
     }
 
     Date FloatingRateCoupon::fixingDate() const {
-        // if isInArrears_ fix at the end of period
-        Date refDate = isInArrears_ ? accrualEndDate_ : accrualStartDate_;
-        return index_->fixingCalendar().advance(refDate,
-            -static_cast<Integer>(fixingDays_), Days, Preceding);
+        return fixingDate_;
+    }
+
+    Natural FloatingRateCoupon::fixingDays() const {
+        QL_REQUIRE(fixingDays_ != Null<Size>(), "FloatingRateCoupon::fixingDays() not given.");
+        return fixingDays_;
     }
 
     Rate FloatingRateCoupon::rate() const {
@@ -90,6 +129,7 @@ namespace QuantLib {
 
     void FloatingRateCoupon::performCalculations() const {
         QL_REQUIRE(pricer_, "pricer not set");
+        additionalResults_.clear();
         pricer_->initialize(*this);
         rate_ = pricer_->swapletRate();
     }
diff --git a/ql/cashflows/floatingratecoupon.hpp b/ql/cashflows/floatingratecoupon.hpp
index 1f690a27056..8f95223d872 100644
--- ql/cashflows/floatingratecoupon.hpp
+++ ql/cashflows/floatingratecoupon.hpp
@@ -33,7 +33,9 @@
 #include <ql/patterns/visitor.hpp>
 #include <ql/patterns/lazyobject.hpp>
 #include <ql/time/daycounter.hpp>
+#include <ql/any.hpp>
 #include <ql/handle.hpp>
+#include <map>
 
 namespace QuantLib {
 
@@ -57,6 +59,19 @@ namespace QuantLib {
                            DayCounter dayCounter = DayCounter(),
                            bool isInArrears = false,
                            const Date& exCouponDate = Date());
+        FloatingRateCoupon(const Date& paymentDate,
+                           Real nominal,
+                           const Date& startDate,
+                           const Date& endDate,
+                           const Date& fixingDate,
+                           const ext::shared_ptr<InterestRateIndex>& index,
+                           Real gearing = 1.0,
+                           Spread spread = 0.0,
+                           const Date& refPeriodStart = Date(),
+                           const Date& refPeriodEnd = Date(),
+                           DayCounter dayCounter = DayCounter(),
+                           bool isInArrears = false,
+                           const Date& exCouponDate = Date());
 
         //! \name LazyObject interface
         //@{
@@ -80,7 +95,7 @@ namespace QuantLib {
         //! floating index
         const ext::shared_ptr<InterestRateIndex>& index() const;
         //! fixing days
-        Natural fixingDays() const { return fixingDays_; }
+        Natural fixingDays() const;
         //! fixing date
         virtual Date fixingDate() const;
         //! index gearing, i.e. multiplicative coefficient for the index
@@ -104,6 +119,9 @@ namespace QuantLib {
 
         virtual void setPricer(const ext::shared_ptr<FloatingRateCouponPricer>&);
         ext::shared_ptr<FloatingRateCouponPricer> pricer() const;
+
+        std::map<std::string, ext::any>& additionalResults() const { return additionalResults_; }
+
       protected:
         //! convexity adjustment for the given index fixing
         Rate convexityAdjustmentImpl(Rate fixing) const;
@@ -113,8 +131,10 @@ namespace QuantLib {
         Real gearing_;
         Spread spread_;
         bool isInArrears_;
+        Date fixingDate_;
         ext::shared_ptr<FloatingRateCouponPricer> pricer_;
         mutable Real rate_;
+        mutable std::map<std::string, ext::any> additionalResults_;
     };
 
     // inline definitions
diff --git a/ql/cashflows/iborcoupon.cpp b/ql/cashflows/iborcoupon.cpp
index 0a54b817d62..26e177a5b4f 100644
--- ql/cashflows/iborcoupon.cpp
+++ ql/cashflows/iborcoupon.cpp
@@ -53,6 +53,14 @@ namespace QuantLib {
         fixingDate_ = FloatingRateCoupon::fixingDate();
     }
 
+    IborCoupon::IborCoupon(const Date& paymentDate, Real nominal, const Date& startDate, const Date& endDate,
+                           const Date& fixingDate, const ext::shared_ptr<IborIndex>& iborIndex, Real gearing,
+                           Spread spread, const Date& refPeriodStart, const Date& refPeriodEnd,
+                           const DayCounter& dayCounter, bool isInArrears, const Date& exCouponDate)
+        : FloatingRateCoupon(paymentDate, nominal, startDate, endDate, fixingDate, iborIndex, gearing, spread,
+                             refPeriodStart, refPeriodEnd, dayCounter, isInArrears, exCouponDate),
+          iborIndex_(iborIndex) {}
+
     void IborCoupon::initializeCachedData() const {
         auto p = ext::dynamic_pointer_cast<IborCouponPricer>(pricer_);
         QL_REQUIRE(p, "IborCoupon: pricer not set or not derived from IborCouponPricer");
@@ -267,13 +275,19 @@ namespace QuantLib {
         return *this;
     }
 
+    IborLeg& IborLeg::withPaymentDates(const std::vector<Date>& paymentDates) {
+        paymentDates_ = paymentDates;
+        return *this;
+    }
+
     IborLeg::operator Leg() const {
 
         Leg leg = FloatingLeg<IborIndex, IborCoupon, CappedFlooredIborCoupon>(
                          schedule_, notionals_, index_, paymentDayCounter_,
                          paymentAdjustment_, fixingDays_, gearings_, spreads_,
                          caps_, floors_, inArrears_, zeroPayments_, paymentLag_, paymentCalendar_, 
-			             exCouponPeriod_, exCouponCalendar_, exCouponAdjustment_, exCouponEndOfMonth_);
+			             exCouponPeriod_, exCouponCalendar_, exCouponAdjustment_, exCouponEndOfMonth_,
+                         paymentDates_);
 
         if (caps_.empty() && floors_.empty() && !inArrears_) {
             ext::shared_ptr<IborCouponPricer> pricer = ext::make_shared<BlackIborCouponPricer>(
diff --git a/ql/cashflows/iborcoupon.hpp b/ql/cashflows/iborcoupon.hpp
index 046871addf1..e3843e04c1e 100644
--- ql/cashflows/iborcoupon.hpp
+++ ql/cashflows/iborcoupon.hpp
@@ -53,6 +53,19 @@ namespace QuantLib {
                    const DayCounter& dayCounter = DayCounter(),
                    bool isInArrears = false,
                    const Date& exCouponDate = Date());
+        IborCoupon(const Date& paymentDate,
+                   Real nominal,
+                   const Date& startDate,
+                   const Date& endDate,
+                   const Date& fixingDate,
+                   const ext::shared_ptr<IborIndex>& index,
+                   Real gearing = 1.0,
+                   Spread spread = 0.0,
+                   const Date& refPeriodStart = Date(),
+                   const Date& refPeriodEnd = Date(),
+                   const DayCounter& dayCounter = DayCounter(),
+                   bool isInArrears = false,
+                   const Date& exCouponDate = Date());
         //! \name Inspectors
         //@{
         const ext::shared_ptr<IborIndex>& iborIndex() const { return iborIndex_; }
@@ -92,7 +105,6 @@ namespace QuantLib {
       private:
         friend class IborCouponPricer;
         ext::shared_ptr<IborIndex> iborIndex_;
-        Date fixingDate_;
         // computed by coupon pricer (depending on par coupon flag) and stored here
         void initializeCachedData() const;
         mutable bool cachedDataIsInitialized_ = false;
@@ -159,6 +171,7 @@ namespace QuantLib {
                                     bool endOfMonth = false);
         IborLeg& withIndexedCoupons(ext::optional<bool> b = true);
         IborLeg& withAtParCoupons(bool b = true);
+        IborLeg& withPaymentDates(const std::vector<Date>& paymentDates);
         operator Leg() const;
 
       private:
@@ -179,6 +192,7 @@ namespace QuantLib {
         BusinessDayConvention exCouponAdjustment_ = Unadjusted;
         bool exCouponEndOfMonth_ = false;
         ext::optional<bool> useIndexedCoupons_;
+        std::vector<Date> paymentDates_;
     };
 
 }
diff --git a/ql/cashflows/lineartsrpricer.cpp b/ql/cashflows/lineartsrpricer.cpp
index 4c1c1df4fc8..b1428a9f115 100644
--- ql/cashflows/lineartsrpricer.cpp
+++ ql/cashflows/lineartsrpricer.cpp
@@ -26,6 +26,7 @@
 #include <ql/cashflows/iborcoupon.hpp>
 #include <ql/cashflows/lineartsrpricer.hpp>
 #include <ql/indexes/iborindex.hpp>
+#include <ql/instruments/overnightindexedswap.hpp>
 #include <ql/instruments/vanillaswap.hpp>
 #include <ql/instruments/overnightindexedswap.hpp>
 #include <ql/math/integrals/kronrodintegral.hpp>
diff --git a/ql/cashflows/yoyinflationcoupon.cpp b/ql/cashflows/yoyinflationcoupon.cpp
index 655a6845a9f..8346e73b4b7 100644
--- ql/cashflows/yoyinflationcoupon.cpp
+++ ql/cashflows/yoyinflationcoupon.cpp
@@ -78,7 +78,7 @@ namespace QuantLib {
     }
 
     Rate YoYInflationCoupon::indexFixing() const {
-        return CPI::laggedYoYRate(yoyIndex(), accrualEndDate(), observationLag(), interpolation_);
+        return CPI::laggedYoYRate(yoyIndex(), fixingDate() + observationLag(), observationLag(), interpolation_);
     }
 
 
@@ -117,6 +117,11 @@ namespace QuantLib {
         return *this;
     }
 
+    yoyInflationLeg& yoyInflationLeg::withPaymentCalendar(const Calendar& paymentcalendar) {
+        paymentCalendar_ = paymentcalendar;
+        return *this;
+    }
+
     yoyInflationLeg& yoyInflationLeg::withFixingDays(Natural fixingDays) {
         fixingDays_ = std::vector<Natural>(1,fixingDays);
         return *this;
@@ -167,6 +172,10 @@ namespace QuantLib {
         return *this;
     }
 
+    yoyInflationLeg& yoyInflationLeg::withRateCurve(const Handle<YieldTermStructure>& rateCurve) {
+        rateCurve_ = rateCurve;
+        return *this;
+    }
 
     yoyInflationLeg::operator Leg() const {
 
@@ -205,7 +214,7 @@ namespace QuantLib {
             }
             if (i==n-1 && schedule_.hasIsRegular() && !schedule_.isRegular(i+1)) {
                 BusinessDayConvention bdc = schedule_.businessDayConvention();
-                refEnd = schedule_.calendar().adjust(start + schedule_.tenor(), bdc);
+                refEnd = schedule_.calendar().adjust(refStart + schedule_.tenor(), bdc);
             }
             if (detail::get(gearings_, i, 1.0) == 0.0) { // fixed coupon
                 leg.push_back(ext::make_shared<FixedRateCoupon>(
@@ -217,7 +226,8 @@ namespace QuantLib {
                             start, end, refStart, refEnd));
             } else { // yoy inflation coupon
                 if (detail::noOption(caps_, floors_, i)) { // just swaplet
-                    leg.push_back(ext::make_shared<YoYInflationCoupon>(
+                    
+                    ext::shared_ptr<YoYInflationCoupon> coup = ext::make_shared<YoYInflationCoupon>(
                             paymentDate,
                             detail::get(notionals_, i, 1.0),
                             start, end,
@@ -228,7 +238,15 @@ namespace QuantLib {
                             paymentDayCounter_,
                             detail::get(gearings_, i, 1.0),
                             detail::get(spreads_, i, 0.0),
-                            refStart, refEnd));
+                            refStart, refEnd);
+
+                    // in this case you can set a pricer
+                    // straight away because it only provides computation - not data
+                    ext::shared_ptr<YoYInflationCouponPricer> pricer =
+                        ext::make_shared<YoYInflationCouponPricer>(rateCurve_);
+                    coup->setPricer(pricer);
+                    leg.push_back(ext::dynamic_pointer_cast<CashFlow>(coup));
+
                 } else {    // cap/floorlet
                     leg.push_back(ext::make_shared<CappedFlooredYoYInflationCoupon>(
                             paymentDate,
diff --git a/ql/cashflows/yoyinflationcoupon.hpp b/ql/cashflows/yoyinflationcoupon.hpp
index 0e602e1b804..c16753e0630 100644
--- ql/cashflows/yoyinflationcoupon.hpp
+++ ql/cashflows/yoyinflationcoupon.hpp
@@ -130,6 +130,7 @@ namespace QuantLib {
       yoyInflationLeg& withNotionals(const std::vector<Real>& notionals);
       yoyInflationLeg& withPaymentDayCounter(const DayCounter&);
       yoyInflationLeg& withPaymentAdjustment(BusinessDayConvention);
+      yoyInflationLeg& withPaymentCalendar(const Calendar&);
       yoyInflationLeg& withFixingDays(Natural fixingDays);
       yoyInflationLeg& withFixingDays(const std::vector<Natural>& fixingDays);
       yoyInflationLeg& withGearings(Real gearing);
@@ -140,7 +141,9 @@ namespace QuantLib {
       yoyInflationLeg& withCaps(const std::vector<Rate>& caps);
       yoyInflationLeg& withFloors(Rate floor);
       yoyInflationLeg& withFloors(const std::vector<Rate>& floors);
+      yoyInflationLeg& withRateCurve(const Handle<YieldTermStructure>& rateCurve);
       operator Leg() const;
+
     private:
         Schedule schedule_;
         ext::shared_ptr<YoYInflationIndex> index_;
@@ -154,6 +157,7 @@ namespace QuantLib {
         std::vector<Real> gearings_;
         std::vector<Spread> spreads_;
         std::vector<Rate> caps_, floors_;
+        Handle<YieldTermStructure> rateCurve_;
     };
 
 
diff --git a/ql/compounding.hpp b/ql/compounding.hpp
index a10dd7ed99c..dfaeda4ef38 100644
--- ql/compounding.hpp
+++ ql/compounding.hpp
@@ -25,6 +25,8 @@
 #define quantlib_compounding_hpp
 
 #include <ql/errors.hpp>
+#include <ql/qldefines.hpp>
+#include <ostream>
 
 namespace QuantLib {
 
diff --git a/ql/currency.hpp b/ql/currency.hpp
index f2c55580455..2c027abd212 100644
--- ql/currency.hpp
+++ ql/currency.hpp
@@ -25,8 +25,19 @@
 #ifndef quantlib_currency_hpp
 #define quantlib_currency_hpp
 
-#include <ql/math/rounding.hpp>
 #include <ql/errors.hpp>
+#include <ql/math/rounding.hpp>
+
+#include <boost/serialization/version.hpp>
+#include <boost/serialization/serialization.hpp>
+#include <boost/serialization/set.hpp>
+#include <boost/serialization/shared_ptr.hpp>
+#include <boost/serialization/string.hpp>
+#include <boost/version.hpp>
+#if BOOST_VERSION >= 107400
+#include <boost/serialization/library_version_type.hpp>
+#endif
+
 #include <iosfwd>
 #include <set>
 
@@ -80,10 +91,15 @@ namespace QuantLib {
         //! minor unit codes, e.g. GBp, GBX for GBP
         const std::set<std::string>& minorUnitCodes() const;
         //@}
+        friend class boost::serialization::access;
+        template <class Archive>
+        void serialize(Archive& ar, const unsigned int version) {
+            ar& data_;
+        }
       protected:
         struct Data;
         ext::shared_ptr<Data> data_;
-     private:
+      private:
         void checkNonEmpty() const;
     };
 
@@ -96,6 +112,8 @@ namespace QuantLib {
         Currency triangulated;
         std::set<std::string> minorUnitCodes;
 
+        Data() = default;
+
         Data(std::string name,
              std::string code,
              Integer numericCode,
@@ -105,6 +123,18 @@ namespace QuantLib {
              const Rounding& rounding,
              Currency triangulationCurrency = Currency(),
              std::set<std::string> minorUnitCodes = {});
+
+        friend class boost::serialization::access;
+        template <class Archive> void serialize(Archive& ar, const unsigned int version) {
+            ar & name;
+            ar & code;
+            ar & numeric;
+            ar & symbol;
+            ar & fractionSymbol;
+            ar & fractionsPerUnit;
+            ar & rounding;
+            ar & minorUnitCodes;
+        }
     };
 
 
diff --git a/ql/experimental/coupons/cmsspreadcoupon.cpp b/ql/experimental/coupons/cmsspreadcoupon.cpp
index 15bc19bee26..639b92b1897 100644
--- ql/experimental/coupons/cmsspreadcoupon.cpp
+++ ql/experimental/coupons/cmsspreadcoupon.cpp
@@ -72,6 +72,12 @@ namespace QuantLib {
         return *this;
     }
 
+    CmsSpreadLeg &
+    CmsSpreadLeg::withPaymentLag(Natural lag) {
+        paymentLag_ = lag;
+        return *this;
+    }
+
     CmsSpreadLeg &CmsSpreadLeg::withFixingDays(Natural fixingDays) {
         fixingDays_ = std::vector<Natural>(1, fixingDays);
         return *this;
@@ -134,12 +140,15 @@ namespace QuantLib {
         zeroPayments_ = flag;
         return *this;
     }
+    CmsSpreadLeg& CmsSpreadLeg::withPaymentCalendar(const Calendar& cal) {
+        paymentCalendar_ = cal;
+        return *this;
+    }
 
     CmsSpreadLeg::operator Leg() const {
-        return FloatingLeg<SwapSpreadIndex, CmsSpreadCoupon,
-                           CappedFlooredCmsSpreadCoupon>(
-            schedule_, notionals_, swapSpreadIndex_, paymentDayCounter_,
-            paymentAdjustment_, fixingDays_, gearings_, spreads_, caps_,
-            floors_, inArrears_, zeroPayments_);
+            return FloatingLeg<SwapSpreadIndex, CmsSpreadCoupon, CappedFlooredCmsSpreadCoupon>(
+                schedule_, notionals_, swapSpreadIndex_, paymentDayCounter_, paymentAdjustment_,
+                fixingDays_, gearings_, spreads_, caps_, floors_, inArrears_, zeroPayments_, paymentLag_,
+                paymentCalendar_); 
     }
 }
diff --git a/ql/experimental/coupons/cmsspreadcoupon.hpp b/ql/experimental/coupons/cmsspreadcoupon.hpp
index eeea963c000..e97dae6ebd6 100644
--- ql/experimental/coupons/cmsspreadcoupon.hpp
+++ ql/experimental/coupons/cmsspreadcoupon.hpp
@@ -106,7 +106,9 @@ namespace QuantLib {
         CmsSpreadLeg& withNotionals(Real notional);
         CmsSpreadLeg& withNotionals(const std::vector<Real>& notionals);
         CmsSpreadLeg& withPaymentDayCounter(const DayCounter&);
+        CmsSpreadLeg& withPaymentCalendar(const Calendar& cal);
         CmsSpreadLeg& withPaymentAdjustment(BusinessDayConvention);
+        CmsSpreadLeg& withPaymentLag(Natural lag);
         CmsSpreadLeg& withFixingDays(Natural fixingDays);
         CmsSpreadLeg& withFixingDays(const std::vector<Natural>& fixingDays);
         CmsSpreadLeg& withGearings(Real gearing);
@@ -126,10 +128,12 @@ namespace QuantLib {
         std::vector<Real> notionals_;
         DayCounter paymentDayCounter_;
         BusinessDayConvention paymentAdjustment_ = Following;
+        Natural paymentLag_ = 0;
         std::vector<Natural> fixingDays_;
         std::vector<Real> gearings_;
         std::vector<Spread> spreads_;
         std::vector<Rate> caps_, floors_;
+        Calendar paymentCalendar_;
         bool inArrears_ = false, zeroPayments_ = false;
     };
 
diff --git a/ql/experimental/coupons/digitalcmsspreadcoupon.cpp b/ql/experimental/coupons/digitalcmsspreadcoupon.cpp
index 078cfede48c..27ca83c080b 100644
--- ql/experimental/coupons/digitalcmsspreadcoupon.cpp
+++ ql/experimental/coupons/digitalcmsspreadcoupon.cpp
@@ -189,16 +189,23 @@ namespace QuantLib {
         return *this;
     }
 
+
+    DigitalCmsSpreadLeg& DigitalCmsSpreadLeg::withPaymentCalendar(const Calendar& cal) {
+        paymentCalendar_ = cal;
+        return *this;
+    }
+
+
+    DigitalCmsSpreadLeg& DigitalCmsSpreadLeg::withPaymentDates(const std::vector<QuantLib::Date>& paymentDates) {
+        paymentDates_ = paymentDates;
+        return *this;
+    }
+
     DigitalCmsSpreadLeg::operator Leg() const {
         return FloatingDigitalLeg<SwapSpreadIndex, CmsSpreadCoupon, DigitalCmsSpreadCoupon>(
-                            schedule_, notionals_, index_, paymentDayCounter_,
-                            paymentAdjustment_, fixingDays_,
-                            gearings_, spreads_, inArrears_,
-                            callStrikes_, longCallOption_,
-                            callATM_, callPayoffs_,
-                            putStrikes_, longPutOption_,
-                            putATM_, putPayoffs_,
-                            replication_, nakedOption_);
+            schedule_, notionals_, index_, paymentDayCounter_, paymentAdjustment_, fixingDays_,
+            gearings_, spreads_, inArrears_, callStrikes_, longCallOption_, callATM_, callPayoffs_,
+            putStrikes_, longPutOption_, putATM_, putPayoffs_, replication_, nakedOption_, paymentCalendar_);
     }
 
 }
diff --git a/ql/experimental/coupons/digitalcmsspreadcoupon.hpp b/ql/experimental/coupons/digitalcmsspreadcoupon.hpp
index 9e2e611915b..09108b500cc 100644
--- ql/experimental/coupons/digitalcmsspreadcoupon.hpp
+++ ql/experimental/coupons/digitalcmsspreadcoupon.hpp
@@ -60,6 +60,7 @@ namespace QuantLib {
         DigitalCmsSpreadLeg& withNotionals(Real notional);
         DigitalCmsSpreadLeg& withNotionals(const std::vector<Real>& notionals);
         DigitalCmsSpreadLeg& withPaymentDayCounter(const DayCounter&);
+        DigitalCmsSpreadLeg& withPaymentCalendar(const Calendar& cal);
         DigitalCmsSpreadLeg& withPaymentAdjustment(BusinessDayConvention);
         DigitalCmsSpreadLeg& withFixingDays(Natural fixingDays);
         DigitalCmsSpreadLeg& withFixingDays(const std::vector<Natural>& fixingDays);
@@ -82,6 +83,7 @@ namespace QuantLib {
         DigitalCmsSpreadLeg& withPutPayoffs(const std::vector<Rate>& payoffs);
         DigitalCmsSpreadLeg& withReplication(const ext::shared_ptr<DigitalReplication>&);
         DigitalCmsSpreadLeg& withNakedOption(bool nakedOption = true);
+        DigitalCmsSpreadLeg& withPaymentDates(const std::vector<QuantLib::Date>& paymentDates);
 
         operator Leg() const;
       private:
@@ -102,6 +104,8 @@ namespace QuantLib {
         bool putATM_ = false;
         ext::shared_ptr<DigitalReplication> replication_;
         bool nakedOption_;
+        Calendar paymentCalendar_;
+        std::vector<QuantLib::Date> paymentDates_;
     };
 
 }
diff --git a/ql/experimental/coupons/strippedcapflooredcoupon.cpp b/ql/experimental/coupons/strippedcapflooredcoupon.cpp
index 59ec7fca8a1..2eb33f35a4c 100644
--- ql/experimental/coupons/strippedcapflooredcoupon.cpp
+++ ql/experimental/coupons/strippedcapflooredcoupon.cpp
@@ -35,6 +35,7 @@ namespace QuantLib {
               underlying->isInArrears()),
           underlying_(underlying) {
         registerWith(underlying_);
+        underlying_->alwaysForwardNotifications();
     }
 
     void StrippedCappedFlooredCoupon::deepUpdate() {
@@ -60,6 +61,7 @@ namespace QuantLib {
         rate_ = (underlying_->isFloored() && underlying_->isCapped()) ?
                     Real(floorletRate - capletRate) :
                     Real(floorletRate + capletRate);
+        additionalResults_ = underlying_->underlying()->additionalResults();
     }
 
     Rate StrippedCappedFlooredCoupon::rate() const {
diff --git a/ql/experimental/credit/basecorrelationstructure.hpp b/ql/experimental/credit/basecorrelationstructure.hpp
index 9fdf258ea91..89fddecaed0 100644
--- ql/experimental/credit/basecorrelationstructure.hpp
+++ ql/experimental/credit/basecorrelationstructure.hpp
@@ -24,8 +24,10 @@
 #include <ql/utilities/dataformatters.hpp>
 #include <ql/math/interpolations/bilinearinterpolation.hpp>
 #include <ql/math/interpolations/bicubicsplineinterpolation.hpp>
-
 #include <ql/experimental/credit/correlationstructure.hpp>
+#include <ql/time/dategenerationrule.hpp>
+#include <ql/time/schedule.hpp>
+#include <ql/optional.hpp>
 
 namespace QuantLib {
 
@@ -64,25 +66,62 @@ namespace QuantLib {
             const std::vector<Period>& tenors,// sorted
             const std::vector<Real>& lossLevel,//sorted
             const std::vector<std::vector<Handle<Quote> > >& correls,
-            const DayCounter& dc = DayCounter()
+            const DayCounter& dc = DayCounter(),
+            const Date& startDate = Date(),
+            QuantLib::ext::optional<DateGeneration::Rule> rule = QuantLib::ext::nullopt
             )
         : CorrelationTermStructure(settlementDays, cal, bdc, dc),
           correlHandles_(correls),
-          correlations_(correls.size(), correls.front().size()),
-          nTrancheTenors_(tenors.size()),
           nLosses_(lossLevel.size()),
           tenors_(tenors),
-          lossLevel_(lossLevel),
-          trancheTimes_(tenors.size(), 0.) {
+          lossLevel_(lossLevel) {
               checkTrancheTenors();
 
-              for (auto& tenor : tenors_)
-                  trancheDates_.push_back(
-                      calendar().advance(referenceDate(), tenor, businessDayConvention()));
-
+              // Reference date to which the tenors are applied to get the base correlation maturities.
+              // Generally, for index tranches, the index start date would be supplied as the startDate ctor argument 
+              // and a CDS date generation rule provided to arrive at the appropriate maturity.
+              const Date& refDate = referenceDate();
+              Date start = startDate == Date() ? refDate : startDate;
+              Calendar cldr = calendar();
+              BusinessDayConvention bdconv = businessDayConvention();
+
+              for (Size i = 0; i < tenors_.size(); i++) {
+
+                  Date d;
+                  if (rule) {
+                      d = start + tenors_[i];
+                      if (*rule == DateGeneration::CDS2015 || *rule == DateGeneration::CDS ||
+                          *rule == DateGeneration::OldCDS) {
+                          d = cdsMaturity(start, tenors_[i], *rule);
+                      }
+                      Schedule schedule = MakeSchedule()
+                          .from(start)
+                          .to(d)
+                          .withFrequency(Quarterly)
+                          .withCalendar(cldr)
+                          .withConvention(bdconv)
+                          .withTerminationDateConvention(Unadjusted)
+                          .withRule(*rule);
+                      d = cldr.adjust(schedule.dates().back(), bdconv);
+                  } else {
+                      d = cldr.advance(start, tenors_[i], bdconv);
+                  }
+
+                  // only keep future dates
+                  if(d <= refDate)
+                      continue;
+
+                  trancheDates_.push_back(d);
+              }
+
+              QL_REQUIRE(!trancheDates_.empty(),
+                         "no tranche dates left after removing expired tenors");
+
+              correlations_ = Matrix(correls.size(), trancheDates_.size(), 0.0);
               initializeTrancheTimes();
+
               checkInputs(correlations_.rows(), correlations_.columns());
-                updateMatrix();
+              updateMatrix();
               registerWithMarketData();
               // call factory
               setupInterpolation();
@@ -90,23 +129,27 @@ namespace QuantLib {
     private:
         virtual void setupInterpolation() ;
     public:
-      Size correlationSize() const override { return 1; }
-      //! Implicit correlation for the given loss interval.
-      Real ImplicitCorrelation(Real, Real);
-
-      void checkTrancheTenors() const;
-      void checkLosses() const;
-      void initializeTrancheTimes() const;
-      void checkInputs(Size volRows, Size volsColumns) const;
-      void registerWithMarketData();
-
-      void update() override;
-      void updateMatrix() const;
-
-      // TermStructure interface
-      Date maxDate() const override { return trancheDates_.back(); }
-      Real correlation(const Date& d, Real lossLevel, bool extrapolate = false) const {
-          return correlation(timeFromReference(d), lossLevel, extrapolate);
+        Size correlationSize() const override {return 1;}
+        //! Implicit correlation for the given loss interval.
+        Real ImplicitCorrelation(Real, Real);
+
+        void checkTrancheTenors() const ;
+        void checkLosses() const;
+        void initializeTrancheTimes() const;
+        void checkInputs(Size volRows, Size volsColumns) const;
+        void registerWithMarketData();
+
+        void update() override;
+        void updateMatrix() const;
+
+        // TermStructure interface
+        Date maxDate() const override {
+            return trancheDates_.back();
+        }
+        Real correlation(const Date& d, Real lossLevel, 
+            bool extrapolate = false) const 
+        {
+            return correlation(timeFromReference(d), lossLevel, extrapolate);
         }
         Real correlation(Time t, Real lossLevel, 
             bool extrapolate = false) const 
@@ -117,8 +160,7 @@ namespace QuantLib {
         std::vector<std::vector<Handle<Quote> > > correlHandles_;
         mutable Matrix correlations_;
         Interpolation2D interpolation_;
-        Size nTrancheTenors_,
-            nLosses_;
+        Size nLosses_;
         std::vector<Period> tenors_;
         mutable std::vector<Real> lossLevel_;
         mutable std::vector<Date> trancheDates_;
@@ -132,7 +174,7 @@ namespace QuantLib {
         QL_REQUIRE(tenors_[0]>0*Days,
                    "first tranche tenor is negative (" <<
                    tenors_[0] << ")");
-        for (Size i=1; i<nTrancheTenors_; ++i)
+        for (Size i=1; i<tenors_.size(); ++i)
             QL_REQUIRE(tenors_[i]>tenors_[i-1],
                        "non increasing tranche tenor: " << io::ordinal(i) <<
                        " is " << tenors_[i-1] << ", " << io::ordinal(i+1) <<
@@ -158,7 +200,8 @@ namespace QuantLib {
 
     template <class I2D_T>
     void BaseCorrelationTermStructure<I2D_T>::initializeTrancheTimes() const {
-        for (Size i=0; i<nTrancheTenors_; ++i)
+        trancheTimes_.resize(trancheDates_.size());
+        for (Size i=0; i<trancheDates_.size(); ++i)
             trancheTimes_[i] = timeFromReference(trancheDates_[i]);
     }
 
@@ -169,9 +212,9 @@ namespace QuantLib {
                    "mismatch between number of loss levels (" <<
                    nLosses_ << ") and number of rows (" << volRows <<
                    ") in the correl matrix");
-        QL_REQUIRE(nTrancheTenors_==volsColumns,
+        QL_REQUIRE(tenors_.size()==volsColumns,
                    "mismatch between number of tranche tenors (" <<
-                   nTrancheTenors_ << ") and number of columns (" << 
+                   tenors_.size() << ") and number of columns (" <<
                    volsColumns << ") in the correl matrix");
     }
 
@@ -191,9 +234,11 @@ namespace QuantLib {
 
     template <class I2D_T>
     void BaseCorrelationTermStructure<I2D_T>::updateMatrix() const {
-        for (Size i=0; i<correlHandles_.size(); ++i)
-            for (Size j=0; j<correlHandles_.front().size(); ++j)
-                correlations_[i][j] = correlHandles_[i][j]->value();
+        // we might have removed expired tenors
+        Size tenorStartIndex = correlHandles_.front().size() - correlations_.columns();
+        for (Size i=0; i<correlations_.rows(); ++i)
+            for (Size j=0; j<correlations_.columns(); ++j)
+                correlations_[i][j] = correlHandles_[i][tenorStartIndex+j]->value();
 
     }
 
diff --git a/ql/experimental/credit/lossdistribution.cpp b/ql/experimental/credit/lossdistribution.cpp
index bca69e4c559..a9ccdefe4f9 100644
--- ql/experimental/credit/lossdistribution.cpp
+++ ql/experimental/credit/lossdistribution.cpp
@@ -3,6 +3,7 @@
 /*
  Copyright (C) 2008 Roland Lichters
 
+
  This file is part of QuantLib, a free-software/open-source library
  for financial quantitative analysts and developers - http://quantlib.org/
 
@@ -19,6 +20,7 @@
 
 #include <ql/experimental/credit/lossdistribution.hpp>
 #include <ql/math/randomnumbers/mt19937uniformrng.hpp>
+#include <ql/math/comparison.hpp>
 
 using namespace std;
 
@@ -26,16 +28,16 @@ namespace QuantLib {
 
     //--------------------------------------------------------------------------
     Real LossDist::binomialProbabilityOfNEvents(int n, vector<Real>& p) {
-    //--------------------------------------------------------------------------
-        BinomialDistribution binomial (p[0], p.size());
+        //--------------------------------------------------------------------------
+        BinomialDistribution binomial(p[0], p.size());
         return binomial(n);
     }
 
     //--------------------------------------------------------------------------
     Real LossDist::binomialProbabilityOfAtLeastNEvents(int n, vector<Real>& p) {
-    //--------------------------------------------------------------------------
+        //--------------------------------------------------------------------------
         CumulativeBinomialDistribution binomial(p[0], p.size());
-        return 1.0 - binomial(n-1);
+        return 1.0 - binomial(n - 1);
         /*
         Real defp = 0;
         for (Size i = n; i <= p.size(); i++)
@@ -47,17 +49,17 @@ namespace QuantLib {
 
     //--------------------------------------------------------------------------
     vector<Real> LossDist::probabilityOfNEvents(vector<Real>& p) {
-    //--------------------------------------------------------------------------
+        //--------------------------------------------------------------------------
         Size n = p.size();
-        vector<Real> probability(n+1, 0.0);
+        vector<Real> probability(n + 1, 0.0);
         vector<Real> prev;
         probability[0] = 1.0;
         for (Size j = 0; j < n; j++) {
             prev = probability;
             probability[0] = prev[0] * (1.0 - p[j]);
             for (Size i = 1; i <= j; i++)
-                probability[i] = prev[i-1] * p[j] + prev[i] * (1.0 - p[j]);
-            probability[j+1] = prev[j] * p[j];
+                probability[i] = prev[i - 1] * p[j] + prev[i] * (1.0 - p[j]);
+            probability[j + 1] = prev[j] * p[j];
         }
 
         return probability;
@@ -65,52 +67,52 @@ namespace QuantLib {
 
     //--------------------------------------------------------------------------
     Real LossDist::probabilityOfNEvents(int k, vector<Real>& p) {
-    //--------------------------------------------------------------------------
+        //--------------------------------------------------------------------------
         return probabilityOfNEvents(p)[k];
 
-//      vector<Real> w (p.size(), 0);
-//      vector<Real> u (k+1, 0);
-//      vector<Real> v (k+1, 0);
+        //      vector<Real> w (p.size(), 0);
+        //      vector<Real> u (k+1, 0);
+        //      vector<Real> v (k+1, 0);
 
-//      Real pZero = 1.0;
-//      for (Size i = 0; i < w.size(); i++) {
-//          pZero *= (1.0 - p[i]);
-//          w[i] = p[i] / (1.0 - p[i]);
-//      }
+        //      Real pZero = 1.0;
+        //      for (Size i = 0; i < w.size(); i++) {
+        //          pZero *= (1.0 - p[i]);
+        //          w[i] = p[i] / (1.0 - p[i]);
+        //      }
 
-//      if (k == 0) return pZero;
+        //      if (k == 0) return pZero;
 
-//      int kk = k;
-//      Real prodw = 1.0;
+        //      int kk = k;
+        //      Real prodw = 1.0;
 
-//      Cumulated probability of up to n events:
-//      Cut off when the cumulated probability reaches 1,
-//      i.e. set all following probabilities of exactly n events to zero.
-//      Real sum = 1.0;
+        //      Cumulated probability of up to n events:
+        //      Cut off when the cumulated probability reaches 1,
+        //      i.e. set all following probabilities of exactly n events to zero.
+        //      Real sum = 1.0;
 
-//      u[0] = 1.0;
-//      for (int i = 1; i <= kk; i++) {
-//          v[i] = 0;
-//          for (Size j = 0; j < w.size(); j++)
-//              v[i] += pow (w[j], i);
-//          u[i] = 0;
-//          for (int j = 1; j <= i; j++)
-//              u[i] +=  pow (-1.0, j+1) * v[j] * u[i-j];
-//          u[i] /= i;
+        //      u[0] = 1.0;
+        //      for (int i = 1; i <= kk; i++) {
+        //          v[i] = 0;
+        //          for (Size j = 0; j < w.size(); j++)
+        //              v[i] += pow (w[j], i);
+        //          u[i] = 0;
+        //          for (int j = 1; j <= i; j++)
+        //              u[i] +=  pow (-1.0, j+1) * v[j] * u[i-j];
+        //          u[i] /= i;
 
-//          cut off
-//          if (sum * pZero >= 1.0 || u[i] < 0 || u[i] * pZero >= 1.0)
-//              u[i] = 0;
+        //          cut off
+        //          if (sum * pZero >= 1.0 || u[i] < 0 || u[i] * pZero >= 1.0)
+        //              u[i] = 0;
 
-//          sum += u[i];
-//      }
+        //          sum += u[i];
+        //      }
 
-//      return pZero * prodw * u[kk];
+        //      return pZero * prodw * u[kk];
     }
 
     //--------------------------------------------------------------------------
-    Real LossDist::probabilityOfAtLeastNEvents (int k, vector<Real>& p) {
-    //--------------------------------------------------------------------------
+    Real LossDist::probabilityOfAtLeastNEvents(int k, vector<Real>& p) {
+        //--------------------------------------------------------------------------
         vector<Real> probability = probabilityOfNEvents(p);
         Real sum = 1.0;
         for (int j = 0; j < k; j++)
@@ -126,14 +128,14 @@ namespace QuantLib {
 
     //--------------------------------------------------------------------------
     Real ProbabilityOfNEvents::operator()(vector<Real> p) const {
-    //--------------------------------------------------------------------------
-        return LossDist::probabilityOfNEvents (n_, p);
+        //--------------------------------------------------------------------------
+        return LossDist::probabilityOfNEvents(n_, p);
     }
 
     //--------------------------------------------------------------------------
     Real ProbabilityOfAtLeastNEvents::operator()(vector<Real> p) const {
-    //--------------------------------------------------------------------------
-        return LossDist::probabilityOfAtLeastNEvents (n_, p);
+        //--------------------------------------------------------------------------
+        return LossDist::probabilityOfAtLeastNEvents(n_, p);
     }
 
     //--------------------------------------------------------------------------
@@ -143,28 +145,27 @@ namespace QuantLib {
     }
 
     //--------------------------------------------------------------------------
-    Distribution LossDistBinomial::operator()(Size n, Real volume,
-                                              Real probability) const {
-    //--------------------------------------------------------------------------
+    Distribution LossDistBinomial::operator()(Size n, Real volume, Real probability) const {
+        //--------------------------------------------------------------------------
         n_ = n;
         probability_.clear();
-        probability_.resize(n_+1, 0.0);
-        Distribution dist (nBuckets_, 0.0, maximum_);
-        BinomialDistribution binomial (probability, n);
+        probability_.resize(n_ + 1, 0.0);
+        Distribution dist(nBuckets_, 0.0, maximum_);
+        BinomialDistribution binomial(probability, n);
         for (Size i = 0; i <= n; i++) {
             if (volume_ * i <= maximum_) {
                 probability_[i] = binomial(i);
                 Size bucket = dist.locate(volume * i);
-                dist.addDensity (bucket, probability_[i] / dist.dx(bucket));
-                dist.addAverage (bucket, volume * i);
+                dist.addDensity(bucket, probability_[i] / dist.dx(bucket));
+                dist.addAverage(bucket, volume * i);
             }
         }
 
         excessProbability_.clear();
-        excessProbability_.resize(n_+1, 0.0);
+        excessProbability_.resize(n_ + 1, 0.0);
         excessProbability_[n_] = probability_[n_];
-        for (int k = n_-1; k >= 0; k--)
-            excessProbability_[k] = excessProbability_[k+1] + probability_[k];
+        for (int k = n_ - 1; k >= 0; k--)
+            excessProbability_[k] = excessProbability_[k + 1] + probability_[k];
 
         dist.normalize();
 
@@ -173,44 +174,62 @@ namespace QuantLib {
 
     //--------------------------------------------------------------------------
     Distribution LossDistBinomial::operator()(const vector<Real>& nominals,
-                                    const vector<Real>& probabilities) const {
-    //--------------------------------------------------------------------------
+                                              const vector<Real>& probabilities) const {
+        //--------------------------------------------------------------------------
         return operator()(nominals.size(), nominals[0], probabilities[0]);
     }
 
     //--------------------------------------------------------------------------
-    Distribution LossDistHomogeneous::operator()(Real volume,
-                                                 const vector<Real>& p) const {
-    //--------------------------------------------------------------------------
+    Distribution LossDistHomogeneous::operator()(Real volume, const vector<Real>& p) const {
+        //--------------------------------------------------------------------------
         volume_ = volume;
         n_ = p.size();
         probability_.clear();
-        probability_.resize(n_+1, 0.0);
+        probability_.resize(n_ + 1, 0.0);
         vector<Real> prev;
         probability_[0] = 1.0;
         for (Size k = 0; k < n_; k++) {
             prev = probability_;
             probability_[0] = prev[0] * (1.0 - p[k]);
             for (Size i = 1; i <= k; i++)
-                probability_[i] = prev[i-1] * p[k] + prev[i] * (1.0 - p[k]);
-            probability_[k+1] = prev[k] * p[k];
+                probability_[i] = prev[i - 1] * p[k] + prev[i] * (1.0 - p[k]);
+            probability_[k + 1] = prev[k] * p[k];
         }
 
         excessProbability_.clear();
-        excessProbability_.resize(n_+1, 0.0);
+        excessProbability_.resize(n_ + 1, 0.0);
         excessProbability_[n_] = probability_[n_];
         for (int k = n_ - 1; k >= 0; k--)
-            excessProbability_[k] = excessProbability_[k+1] + probability_[k];
+            excessProbability_[k] = excessProbability_[k + 1] + probability_[k];
 
-        Distribution dist (nBuckets_, 0.0, maximum_);
-        for (Size i = 0; i <= n_; i++) {
+        Distribution dist(nBuckets_, 0.0, maximum_);
+        Size bucket = dist.locate(0.);
+        Real prob = probability_[0];
+        Real average = 0.;
+        for (Size i = 1; i <= n_; i++) {
             if (volume * i <= maximum_) {
-                Size bucket = dist.locate(volume * i);
-                dist.addDensity (bucket, probability_[i] / dist.dx(bucket));
-                dist.addAverage (bucket, volume*i);
+                Size newBucket = dist.locate(volume * i);
+                if (newBucket == bucket) {
+                    prob += probability_[i];
+                    average += volume * i * probability_[i];
+                } else {
+                    if (!close_enough(prob, 0.0)) {
+                        dist.addDensity(bucket, prob / dist.dx(bucket));
+                        dist.addAverage(bucket, average / prob);
+                    }
+                    prob = probability_[i];
+                    average = volume * i * probability_[i];
+                    bucket = newBucket;
+                }
+            } else {
+                if (!close_enough(prob, 0.0)) {
+                    dist.addDensity(bucket, prob / dist.dx(bucket));
+                    dist.addAverage(bucket, average / prob);
+                    prob = 0.;
+                    average = 0.;
+                }
             }
         }
-
         dist.normalize();
 
         return dist;
@@ -218,36 +237,36 @@ namespace QuantLib {
 
     //--------------------------------------------------------------------------
     Distribution LossDistHomogeneous::operator()(const vector<Real>& nominals,
-                                    const vector<Real>& probabilities) const {
-    //--------------------------------------------------------------------------
+                                                 const vector<Real>& probabilities) const {
+        //--------------------------------------------------------------------------
         return operator()(nominals[0], probabilities);
     }
 
     //--------------------------------------------------------------------------
     Distribution LossDistBucketing::operator()(const vector<Real>& nominals,
-                                    const vector<Real>& probabilities) const {
-    //--------------------------------------------------------------------------
-        QL_REQUIRE (nominals.size() == probabilities.size(), "sizes differ: "
-                    << nominals.size() << " vs " << probabilities.size());
+                                               const vector<Real>& probabilities) const {
+        //--------------------------------------------------------------------------
+        QL_REQUIRE(nominals.size() == probabilities.size(),
+                   "sizes differ: " << nominals.size() << " vs " << probabilities.size());
 
-        vector<Real> p (nBuckets_, 0.0);
-        vector<Real> a (nBuckets_, 0.0);
-        vector<Real> ap (nBuckets_, 0.0);
+        vector<Real> p(nBuckets_, 0.0);
+        vector<Real> a(nBuckets_, 0.0);
+        vector<Real> ap(nBuckets_, 0.0);
 
         p[0] = 1.0;
         a[0] = 0.0;
         Real dx = maximum_ / nBuckets_;
         for (Size k = 1; k < nBuckets_; k++)
-            a[k] = dx * k + dx/2;
+            a[k] = dx * k + dx / 2;
 
         for (Size i = 0; i < nominals.size(); i++) {
             Real L = nominals[i];
             Real P = probabilities[i];
-            for (int k = a.size()-1; k >= 0; k--) {
+            for (int k = a.size() - 1; k >= 0; k--) {
                 if (p[k] > 0) {
-                    int u = locateTargetBucket (a[k] + L, k);
-                    QL_REQUIRE (u >= 0, "u=" << u << " at i=" << i << " k=" << k);
-                    QL_REQUIRE (u >= k, "u=" << u << "<k=" << k << " at i=" << i);
+                    int u = locateTargetBucket(a[k] + L, k);
+                    QL_REQUIRE(u >= 0, "u=" << u << " at i=" << i << " k=" << k);
+                    QL_REQUIRE(u >= k, "u=" << u << "<k=" << k << " at i=" << i);
 
                     Real dp = p[k] * P;
                     if (u == k)
@@ -261,7 +280,7 @@ namespace QuantLib {
                                 // some very small values of p[k].
                                 // Writing the above as (p[u]/p[k])/P prevents
                                 // the NaN. What can I say?
-                                Real f = 1.0 / (1.0 + (p[u]/p[k]) / P);
+                                Real f = 1.0 / (1.0 + (p[u] / p[k]) / P);
                                 a[u] = (1.0 - f) * a[u] + f * (a[k] + L);
                             }
                             /* formulation of Hull-White:
@@ -274,35 +293,36 @@ namespace QuantLib {
                         p[k] -= dp;
                     }
                 }
-                QL_REQUIRE(a[k] + epsilon_ >= dx * k && a[k] < dx * (k+1),
+                QL_REQUIRE(a[k] + epsilon_ >= dx * k && a[k] < dx * (k + 1),
                            "a out of range at k=" << k << ", contract " << i);
             }
         }
 
-        Distribution dist (nBuckets_, 0.0, maximum_);
+        Distribution dist(nBuckets_, 0.0, maximum_);
         for (Size i = 0; i < nBuckets_; i++) {
-            dist.addDensity (i, p[i] / dx);
-            dist.addAverage (i, a[i]);
+            dist.addDensity(i, p[i] / dx);
+            dist.addAverage(i, a[i]);
         }
 
         return dist;
     }
 
     //--------------------------------------------------------------------------
-    int LossDistBucketing::locateTargetBucket (Real loss, Size i0) const {
-    //--------------------------------------------------------------------------
-        QL_REQUIRE (loss >= 0, "loss " << loss << " must be >= 0");
+    int LossDistBucketing::locateTargetBucket(Real loss, Size i0) const {
+        //--------------------------------------------------------------------------
+        QL_REQUIRE(loss >= 0, "loss " << loss << " must be >= 0");
         Real dx = maximum_ / nBuckets_;
-        for (Size i = i0; i < nBuckets_; i++)
-            if (dx * i > loss + epsilon_) return i - 1;
+        for (Size i = i0; i <= nBuckets_; i++)
+            if (dx * i > loss + epsilon_)
+                return i - 1;
         return nBuckets_;
     }
 
     //--------------------------------------------------------------------------
     Distribution LossDistMonteCarlo::operator()(const vector<Real>& nominals,
-                                   const vector<Real>& probabilities) const {
-    //--------------------------------------------------------------------------
-        Distribution dist (nBuckets_, 0.0, maximum_);
+                                                const vector<Real>& probabilities) const {
+        //--------------------------------------------------------------------------
+        Distribution dist(nBuckets_, 0.0, maximum_);
         // KnuthUniformRng rng(seed_);
         // LecuyerUniformRng rng(seed_);
         MersenneTwisterUniformRng rng(seed_);
@@ -313,7 +333,7 @@ namespace QuantLib {
                 if (r <= probabilities[j])
                     e += nominals[j];
             }
-            dist.add (e + epsilon_);
+            dist.add(e + epsilon_);
         }
 
         dist.normalize();
diff --git a/ql/experimental/credit/randomdefaultmodel.cpp b/ql/experimental/credit/randomdefaultmodel.cpp
index a7580f82786..81fe1e045c0 100644
--- ql/experimental/credit/randomdefaultmodel.cpp
+++ ql/experimental/credit/randomdefaultmodel.cpp
@@ -21,6 +21,7 @@
 #include <ql/experimental/credit/randomdefaultmodel.hpp>
 #include <ql/math/solvers1d/bisection.hpp>
 #include <ql/math/solvers1d/brent.hpp>
+#include <ql/math/solvers1d/bisection.hpp>
 #include <utility>
 
 using namespace std;
diff --git a/ql/experimental/fx/bachelierdeltacalculator.cpp b/ql/experimental/fx/bachelierdeltacalculator.cpp
new file mode 100644
index 00000000000..9b9b7ad69f2
--- /dev/null
+++ ql/experimental/fx/bachelierdeltacalculator.cpp
@@ -0,0 +1,210 @@
+/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
+
+/*
+ Copyright (C) 2025 AcadiaSoft, Inc.
+ Copyright (C) 2010 Dimitri Reiswich
+ 
+ This file is part of QuantLib, a free-software/open-source library
+ for financial quantitative analysts and developers - http://quantlib.org/
+
+ QuantLib is free software: you can redistribute it and/or modify it
+ under the terms of the QuantLib license.  You should have received a
+ copy of the license along with this program; if not, please email
+ <quantlib-dev@lists.sf.net>. The license is also available online at
+ <http://quantlib.org/license.shtml>.
+
+ This program is distributed in the hope that it will be useful, but WITHOUT
+ ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
+ FOR A PARTICULAR PURPOSE.  See the license for more details.
+*/
+
+#include <ql/experimental/fx/bachelierdeltacalculator.hpp>
+
+namespace QuantLib {
+
+    BachelierDeltaCalculator::BachelierDeltaCalculator(
+                        Option::Type ot,
+                        DeltaVolQuote::DeltaType dt,
+                        Real spot,
+                        DiscountFactor dDiscount,   // domestic discount
+                        DiscountFactor fDiscount,   // foreign  discount
+                        Real stdDev):
+    dt_(dt), ot_(ot),
+    dDiscount_(dDiscount), fDiscount_(fDiscount),
+    stdDev_(stdDev), spot_(spot),
+    forward_(spot*fDiscount/dDiscount), phi_(Integer(ot)) {
+    }
+
+
+    Real BachelierDeltaCalculator::deltaFromStrike(Real strike) const {
+
+        QL_REQUIRE(strike >= 0.0, "positive strike value required: " << strike << " not allowed");
+
+        Real res = 0.0;
+
+        switch (dt_) {
+            case DeltaVolQuote::Spot:
+                res = phi_ * fDiscount_ * cumD(strike);
+                break;
+
+            case DeltaVolQuote::Fwd:
+                res = phi_ * cumD(strike);
+                break;
+
+            case DeltaVolQuote::PaSpot:
+                QL_FAIL("Premium adjusted spot delta not implemented yet.");
+                // its not stable around F = 0
+                //res = fDiscount_ * (phi_ * strike * cumD(strike) - stdDev_ *  nD(strike)) / forward_;
+                break;
+
+            case DeltaVolQuote::PaFwd:
+                // its not stable around F = 0
+                QL_FAIL("Premium adjusted forward delta not implemented yet.");
+                //res = fDiscount_ * (phi_ * strike * cumD(strike) - stdDev_ * nD(strike)) / forward_;
+                break;
+
+            default:
+                QL_FAIL("invalid delta type");
+        }
+        return res;
+    }
+
+    Real BachelierDeltaCalculator::strikeFromDelta(Real delta) const {
+        return(strikeFromDelta(delta, dt_));
+    }
+
+    Real BachelierDeltaCalculator::strikeFromDelta(Real delta,
+                                               DeltaVolQuote::DeltaType dt)
+                                                                        const{
+        Real res=0.0;
+        Real arg=0.0;
+        InverseCumulativeNormal f;
+
+        QL_REQUIRE(delta*phi_>=0.0, "Option type and delta are incoherent.");
+
+        switch (dt) {
+            case DeltaVolQuote::Spot:
+                QL_REQUIRE(std::fabs(delta) <= fDiscount_, "Spot delta out of range.");
+                arg = -phi_ * f(phi_ * delta / fDiscount_) * stdDev_;
+                res = forward_ + arg;
+                break;
+
+            case DeltaVolQuote::Fwd:
+                QL_REQUIRE(std::fabs(delta) <= 1.0, "Forward delta out of range.");
+                arg = -phi_ * f(phi_ * delta) * stdDev_;
+                res = forward_ + arg;
+                break;
+
+            case DeltaVolQuote::PaSpot:
+            case DeltaVolQuote::PaFwd: 
+                QL_FAIL("Premium adjusted delta not implemented yet.");
+                break;
+        }
+        return res;
+        
+    }
+
+    Real BachelierDeltaCalculator::atmStrike(DeltaVolQuote::AtmType atmT) const {
+
+        Real res=0.0;
+
+        switch(atmT) {
+          case DeltaVolQuote::AtmSpot:
+            res=spot_;
+            break;
+
+          case DeltaVolQuote::AtmDeltaNeutral:
+            res = forward_; // call delta + put delta = 0 -> N(d) + (N(d) - 1) = 0 -> N(d) = 0.5 -> d=0 -> K=F
+            break;
+
+          case DeltaVolQuote::AtmFwd:
+            res=forward_; 
+            break;
+
+          case DeltaVolQuote::AtmGammaMax: case DeltaVolQuote::AtmVegaMax:
+            res=forward_; ////n(d) max at 0 -> K = F
+            break;
+
+          case DeltaVolQuote::AtmPutCall50:
+            QL_REQUIRE(dt_==DeltaVolQuote::Fwd,
+                       "|PutDelta|=CallDelta=0.50 only possible for forward delta.");
+            res=forward_;
+            break;
+
+          default:
+            QL_FAIL("invalid atm type");
+        }
+
+        return res;
+    }
+
+
+    Real BachelierDeltaCalculator::cumD(Real strike) const {
+
+        Real d=0.0;
+        Real cum_d1_pos_ = 1.0; // N(d1)
+        Real cum_d1_neg_ = 0.0; // N(-d1)
+
+        CumulativeNormalDistribution f;
+
+        if (stdDev_>=QL_EPSILON) {
+            d = (forward_ - strike) / stdDev_;
+            return f(phi_*d);
+        } else {
+            if (forward_<strike) {
+                cum_d1_pos_ = 0.0;
+                cum_d1_neg_ = 1.0;
+            } else if(forward_==strike){
+                return 0.5;
+            }
+        }
+
+        if (phi_>0) { // if Call
+            return cum_d1_pos_;
+        } else {
+            return cum_d1_neg_;
+        }
+    }
+
+
+    Real BachelierDeltaCalculator::nD(Real strike) const {
+
+        Real d=0.0;
+        Real n_d = 0.0; // n(d)
+        if (stdDev_>=QL_EPSILON){
+            d = (forward_ - strike) / stdDev_;
+            CumulativeNormalDistribution f;
+            n_d = f.derivative(d);
+        }
+        return n_d;
+    }
+
+    void BachelierDeltaCalculator::setDeltaType(DeltaVolQuote::DeltaType dt){
+        dt_=dt;
+    }
+
+    void BachelierDeltaCalculator::setOptionType(Option::Type ot){
+        ot_=ot;
+        phi_=Integer(ot_);
+    }
+
+
+    // helper classes
+
+    BachelierDeltaPremiumAdjustedSolverClass::BachelierDeltaPremiumAdjustedSolverClass(
+                        Option::Type ot,
+                        DeltaVolQuote::DeltaType dt,
+                        Real spot,
+                        DiscountFactor dDiscount,   // domestic discount
+                        DiscountFactor fDiscount,   // foreign  discount
+                        Real stdDev,
+                        Real delta):
+    bdc_(ot,dt,spot,dDiscount,fDiscount,stdDev), delta_(delta) {}
+
+
+    Real BachelierDeltaPremiumAdjustedSolverClass::operator()(Real strike) const {
+        return bdc_.deltaFromStrike(strike)-delta_;
+    }
+
+
+}
diff --git a/ql/experimental/fx/bachelierdeltacalculator.hpp b/ql/experimental/fx/bachelierdeltacalculator.hpp
new file mode 100644
index 00000000000..9fd628f2ccd
--- /dev/null
+++ ql/experimental/fx/bachelierdeltacalculator.hpp
@@ -0,0 +1,106 @@
+/* -*- mode: c++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
+
+/*
+ Copyright (C) 2025 AcadiaSoft Inc.
+ Copyright (C) 2010 Dimitri Reiswich
+
+ This file is part of QuantLib, a free-software/open-source library
+ for financial quantitative analysts and developers - http://quantlib.org/
+
+ QuantLib is free software: you can redistribute it and/or modify it
+ under the terms of the QuantLib license.  You should have received a
+ copy of the license along with this program; if not, please email
+ <quantlib-dev@lists.sf.net>. The license is also available online at
+ <http://quantlib.org/license.shtml>.
+
+ This program is distributed in the hope that it will be useful, but WITHOUT
+ ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
+ FOR A PARTICULAR PURPOSE.  See the license for more details.
+*/
+
+/*! \file bachelierdeltacalculator.hpp
+    \brief Bachelier formula delta calculator class, following the design / interface of
+   BlackDeltaCalculator in ql/experimental/fx/blackcalculator.hpp
+*/
+
+#ifndef quantlib_bachelier_delta_calculator_hpp
+#define quantlib_bachelier_delta_calculator_hpp
+
+#include <ql/pricingengines/bacheliercalculator.hpp>
+#include <ql/math/distributions/normaldistribution.hpp>
+#include <ql/math/solvers1d/brent.hpp>
+#include <ql/quotes/deltavolquote.hpp>
+
+namespace QuantLib {
+
+    //! Bachelier delta calculator class
+    /*! Class includes many operations needed for converting 
+        strikes into deltas and vice versa for the different delta
+        types in a normal Bachelier model.
+    */
+    class BachelierDeltaCalculator {
+      public:
+        // A parsimonious constructor is chosen, which for example
+        // doesn't need a strike. The reason for this is, that we'd
+        // like this class to calculate deltas for different strikes
+        // many times, e.g. in a numerical routine, which will be the
+        // case in the smile setup procedure.
+        BachelierDeltaCalculator(Option::Type ot,
+                             DeltaVolQuote::DeltaType dt,
+                             Real spot,
+                             DiscountFactor dDiscount,   // domestic discount
+                             DiscountFactor fDiscount,   // foreign discount
+                             Real stdDev);
+
+        // Give strike, receive delta according to specified type
+        Real deltaFromStrike(Real strike) const;
+        // Give delta according to specified type, receive strike
+        Real strikeFromDelta(Real delta) const;
+
+        Real moneyness(Real strike) const; // (F-K)/stdDev
+        Real cumD(Real strike) const;    // N(d) or N(-d)
+        Real nD(Real strike) const;      // n(d)
+
+
+        void setDeltaType(DeltaVolQuote::DeltaType dt);
+        void setOptionType(Option::Type ot);
+
+        // The following function can be calculated without an explicit strike
+        Real atmStrike(DeltaVolQuote::AtmType atmT) const;
+
+      private:
+        // alternative delta type
+        Real strikeFromDelta(Real delta, DeltaVolQuote::DeltaType dt) const;
+
+
+        DeltaVolQuote::DeltaType dt_;
+        Option::Type ot_;
+        DiscountFactor dDiscount_, fDiscount_;
+
+        Real stdDev_, spot_, forward_;
+        Integer phi_;
+        Real fExpPos_,fExpNeg_;
+    };
+
+
+    class BachelierDeltaPremiumAdjustedSolverClass {
+      public:
+        BachelierDeltaPremiumAdjustedSolverClass(
+                        Option::Type ot,
+                        DeltaVolQuote::DeltaType dt,
+                        Real spot,
+                        DiscountFactor dDiscount,   // domestic discount
+                        DiscountFactor fDiscount,   // foreign  discount
+                        Real stdDev,
+                        Real delta);
+
+        Real operator()(Real strike) const;
+
+      private:
+        BachelierDeltaCalculator bdc_;
+        Real delta_;
+    };
+  }
+
+
+#endif
diff --git a/ql/experimental/inflation/interpolatedyoyoptionletstripper.hpp b/ql/experimental/inflation/interpolatedyoyoptionletstripper.hpp
index f10111dbfce..d87de2fdece 100644
--- ql/experimental/inflation/interpolatedyoyoptionletstripper.hpp
+++ ql/experimental/inflation/interpolatedyoyoptionletstripper.hpp
@@ -29,151 +29,147 @@
 #include <ql/experimental/inflation/yoyoptionlethelpers.hpp>
 #include <ql/experimental/inflation/yoyoptionletstripper.hpp>
 #include <ql/instruments/makeyoyinflationcapfloor.hpp>
+#include <ql/termstructures/iterativebootstrap.hpp>
 #include <ql/math/solvers1d/brent.hpp>
 #include <utility>
 
-
 namespace QuantLib {
 
-    /*! The interpolated version interpolates along each K (as opposed
-        to fitting a model, say).
-
-        \bug Tests currently fail.
-    */
-    template <class Interpolator1D>
-    class InterpolatedYoYOptionletStripper : public YoYOptionletStripper {
-      public:
-
-        //! YoYOptionletStripper interface
-        //@{
-        void initialize(const ext::shared_ptr<YoYCapFloorTermPriceSurface>&,
-                        const ext::shared_ptr<YoYInflationCapFloorEngine>&,
-                        Real slope) const override;
-        Rate minStrike() const override { return YoYCapFloorTermPriceSurface_->strikes().front(); }
-        Rate maxStrike() const override { return YoYCapFloorTermPriceSurface_->strikes().back(); }
-        std::vector<Rate> strikes() const override {
-            return YoYCapFloorTermPriceSurface_->strikes();
-        }
-        std::pair<std::vector<Rate>, std::vector<Volatility> > slice(const Date& d) const override;
-        //@}
-
-      protected:
-        mutable std::vector<ext::shared_ptr<YoYOptionletVolatilitySurface> > volCurves_;
-
-        // used to set up the first point on each vol curve
-        // using assumptions on unobserved vols at start
-        class ObjectiveFunction {
-          public:
-            ObjectiveFunction(YoYInflationCapFloor::Type type,
-                              Real slope,
-                              Rate K,
-                              Period& lag,
-                              Natural fixingDays,
-                              const ext::shared_ptr<YoYInflationIndex>& anIndex,
-                              const ext::shared_ptr<YoYCapFloorTermPriceSurface>&,
-                              ext::shared_ptr<YoYInflationCapFloorEngine> p,
-                              Real priceToMatch);
-            Real operator()(Volatility guess) const;
-          protected:
-            Real slope_;
-            Rate K_;
-            Frequency frequency_;
-            bool indexIsInterpolated_;
-            std::vector<Time> tvec_;
-            std::vector<Date> dvec_;
-            mutable std::vector<Volatility> vvec_;
-            ext::shared_ptr<YoYInflationCapFloor> capfloor_;
-            Real priceToMatch_;
-            ext::shared_ptr<YoYCapFloorTermPriceSurface> surf_;
-            Period lag_;
-            ext::shared_ptr<YoYInflationCapFloorEngine> p_;
-        };
-    };
-
+/*! The interpolated version interpolates along each K (as opposed
+    to fitting a model, say).
 
-    // template definitions
-
-    template <class Interpolator1D>
-    InterpolatedYoYOptionletStripper<Interpolator1D>::ObjectiveFunction::ObjectiveFunction(
-        YoYInflationCapFloor::Type type,
-        Real slope,
-        Rate K,
-        Period& lag,
-        Natural fixingDays,
-        const ext::shared_ptr<YoYInflationIndex>& anIndex,
-        const ext::shared_ptr<YoYCapFloorTermPriceSurface>& surf,
-        ext::shared_ptr<YoYInflationCapFloorEngine> p,
-        Real priceToMatch)
-    : slope_(slope), K_(K), frequency_(anIndex->frequency()),
-      indexIsInterpolated_(anIndex->interpolated()), tvec_(std::vector<Time>(2)),
-      dvec_(std::vector<Date>(2)), vvec_(std::vector<Volatility>(2)), priceToMatch_(priceToMatch),
-      surf_(surf), p_(std::move(p)) {
-
-        lag_ = surf_->observationLag();
-        capfloor_ =
-            MakeYoYInflationCapFloor(type, anIndex,
-                                     (Size)std::floor(0.5+surf->timeFromReference(surf->minMaturity())),
-                                     surf->calendar(), lag, CPI::AsIndex)
-            .withNominal(10000.0)
-            .withStrike(K);
-
-        // shortest time available from price surface
-        dvec_[0] = surf_->baseDate();
-        dvec_[1] = surf_->minMaturity() +
-                   Period(7, Days);
-        tvec_[0] = surf_->dayCounter().yearFraction(surf_->referenceDate(),
-                                                    dvec_[0] );
-        tvec_[1] = surf_->dayCounter().yearFraction(surf_->referenceDate(),
-                                                    dvec_[1]);
-
-        Size n = (Size)std::floor(0.5 + surf->timeFromReference(surf_->minMaturity()));
-        QL_REQUIRE( n > 0,
-                    "first maturity in price surface not > 0: "
-                    << n);
-
-        capfloor_->setPricingEngine(p_);
-        // pricer already setup just need to do the volatility surface each time
-    }
+    \bug Tests currently fail.
+*/
 
+class YoYOptionletBaseSolver {
+public:
+    virtual ~YoYOptionletBaseSolver() {}
+    virtual Real solveForImpliedVol(YoYInflationCapFloor::Type type, Real slope, Rate K, Period& lag,
+                                    Natural fixingDays, const ext::shared_ptr<YoYInflationIndex>& anIndex,
+                                    const ext::shared_ptr<YoYCapFloorTermPriceSurface>&,
+                                    ext::shared_ptr<YoYInflationCapFloorEngine> p, Real priceToMatch) const = 0;      
+protected:
+    class ObjectiveFunction {
+    public:
+        ObjectiveFunction(YoYInflationCapFloor::Type type, Real slope, Rate K, Period& lag, Natural fixingDays,
+                          const ext::shared_ptr<YoYInflationIndex>& anIndex,
+                          const ext::shared_ptr<YoYCapFloorTermPriceSurface>& surf,
+                          ext::shared_ptr<YoYInflationCapFloorEngine> p, Real priceToMatch)
+            : slope_(slope), K_(K), frequency_(anIndex->frequency()), indexIsInterpolated_(anIndex->interpolated()),
+              tvec_(std::vector<Time>(2)), dvec_(std::vector<Date>(2)), vvec_(std::vector<Volatility>(2)),
+              priceToMatch_(priceToMatch), surf_(surf), p_(std::move(p)) {
+            lag_ = surf_->observationLag();
+            capfloor_ = MakeYoYInflationCapFloor(type, anIndex,
+                                                 (Size)std::floor(0.5 + surf->timeFromReference(surf->minMaturity())),
+                                                 surf->calendar(), lag, CPI::AsIndex)
+                            .withNominal(10000.0)
+                            .withStrike(K_);
+
+            // shortest time available from price surface
+            dvec_[0] = surf_->baseDate();
+            dvec_[1] = surf_->minMaturity() + Period(7, Days);
+            tvec_[0] = surf_->dayCounter().yearFraction(surf_->referenceDate(), dvec_[0]);
+            tvec_[1] = surf_->dayCounter().yearFraction(surf_->referenceDate(), dvec_[1]);
+
+            Size n = (Size)std::floor(0.5 + surf->timeFromReference(surf_->minMaturity()));
+            QL_REQUIRE(n > 0, "first maturity in price surface not > 0: " << n);
+
+            capfloor_->setPricingEngine(p_);
+        }
+        Real operator()(Volatility guess) const {
+            vvec_[1] = guess;
+            vvec_[0] = guess - slope_ * (tvec_[1] - tvec_[0]) * guess;
+            // could have Interpolator1D instead of Linear
+            ext::shared_ptr<InterpolatedYoYOptionletVolatilityCurve<Linear>> vCurve(
+                new InterpolatedYoYOptionletVolatilityCurve<Linear>(0, TARGET(), ModifiedFollowing, Actual365Fixed(),
+                                                                    lag_, frequency_, indexIsInterpolated_, dvec_,
+                                                                    vvec_, -1.0,
+                                                                    3.0)); // strike limits
+            Handle<YoYOptionletVolatilitySurface> hCurve(vCurve);
+            p_->setVolatility(hCurve);
+            // hopefully this gets to the pricer ... then
+            return priceToMatch_ - capfloor_->NPV();
+        }
 
-    template <class Interpolator1D>
-    Real InterpolatedYoYOptionletStripper<Interpolator1D>::
-    ObjectiveFunction::operator()(Volatility guess) const {
-
-        vvec_[1] = guess;
-        vvec_[0] = guess - slope_ * (tvec_[1] - tvec_[0]) * guess;
-        // could have Interpolator1D instead of Linear
-        ext::shared_ptr<InterpolatedYoYOptionletVolatilityCurve<Linear> >
-        vCurve(
-            new InterpolatedYoYOptionletVolatilityCurve<Linear>(
-                                               0, TARGET(), ModifiedFollowing,
-                                               Actual365Fixed(), lag_,
-                                               frequency_, indexIsInterpolated_,
-                                               dvec_, vvec_,
-                                               -1.0, 3.0) ); // strike limits
-        Handle<YoYOptionletVolatilitySurface> hCurve(vCurve);
-        p_->setVolatility(hCurve);
-        // hopefully this gets to the pricer ... then
-        return priceToMatch_ - capfloor_->NPV();
+    private:
+        Real slope_;
+        Rate K_;
+        Frequency frequency_;
+        bool indexIsInterpolated_;
+        std::vector<Time> tvec_;
+        std::vector<Date> dvec_;
+        mutable std::vector<Volatility> vvec_;
+        ext::shared_ptr<YoYInflationCapFloor> capfloor_;
+        Real priceToMatch_;
+        ext::shared_ptr<YoYCapFloorTermPriceSurface> surf_;
+        Period lag_;
+        ext::shared_ptr<YoYInflationCapFloorEngine> p_;
+    };
+};
+
+class YoYOptionletSolver : public YoYOptionletBaseSolver {
+public:
+    YoYOptionletSolver() {} ;
+    Real solveForImpliedVol(YoYInflationCapFloor::Type type, Real slope, Rate K, Period& lag, Natural fixingDays,
+                            const ext::shared_ptr<YoYInflationIndex>& anIndex,
+                            const ext::shared_ptr<YoYCapFloorTermPriceSurface>& surface,
+                            ext::shared_ptr<YoYInflationCapFloorEngine> p, Real priceToMatch) const override {
+        Brent solver;
+        Real solverTolerance_ = 1e-7;
+        // these are VOLATILITY guesses (always +)
+        Real lo = 0.00001, hi = 0.08;
+        Real guess = (hi + lo) / 2.0;
+        Real found;
+        found = solver.solve(ObjectiveFunction(type, slope, K, lag, fixingDays, anIndex, surface, p, priceToMatch),
+                             solverTolerance_, guess, lo, hi);
+        return found;
     }
+};
 
+template <class Interpolator1D, template <class> class Bootstrap = QuantLib::IterativeBootstrap>
+class InterpolatedYoYOptionletStripper : public YoYOptionletStripper {
+public:
+    typedef typename PiecewiseYoYOptionletVolatilityCurve<Interpolator1D, Bootstrap>::this_curve optionlet_curve;
 
-    template <class Interpolator1D>
-    void InterpolatedYoYOptionletStripper<Interpolator1D>::
-    initialize(const ext::shared_ptr<YoYCapFloorTermPriceSurface> &s,
-               const ext::shared_ptr<YoYInflationCapFloorEngine> &p,
-               const Real slope) const {
-        YoYCapFloorTermPriceSurface_ = s;
-        p_ = p;
-        lag_ = YoYCapFloorTermPriceSurface_->observationLag();
-        frequency_ = YoYCapFloorTermPriceSurface_->frequency();
-        indexIsInterpolated_ = YoYCapFloorTermPriceSurface_->indexIsInterpolated();
-        Natural fixingDays_ = YoYCapFloorTermPriceSurface_->fixingDays();
-        Natural settlementDays = 0; // always
-        Calendar cal = YoYCapFloorTermPriceSurface_->calendar();
-        BusinessDayConvention bdc =
-            YoYCapFloorTermPriceSurface_->businessDayConvention();
-        DayCounter dc = YoYCapFloorTermPriceSurface_->dayCounter();
+    InterpolatedYoYOptionletStripper(std::unique_ptr<YoYOptionletBaseSolver> firstCapSolver =
+                                         std::make_unique<YoYOptionletSolver>(),
+                                     const Bootstrap<optionlet_curve>& bootstrap = Bootstrap<optionlet_curve>())
+        : firstCapSolver_(std::move(firstCapSolver)), bootstrap_(bootstrap){
+    };
+    //! YoYOptionletStripper interface
+    //@{
+    void initialize(const ext::shared_ptr<YoYCapFloorTermPriceSurface>&,
+                    const ext::shared_ptr<YoYInflationCapFloorEngine>&, Real slope) const override;
+    Rate minStrike() const override { return YoYCapFloorTermPriceSurface_->strikes().front(); }
+    Rate maxStrike() const override { return YoYCapFloorTermPriceSurface_->strikes().back(); }
+    std::vector<Rate> strikes() const override { return YoYCapFloorTermPriceSurface_->strikes(); }
+    std::pair<std::vector<Rate>, std::vector<Volatility>> slice(const Date& d) const override;
+    //@}
+
+protected:
+    mutable std::vector<ext::shared_ptr<YoYOptionletVolatilitySurface>> volCurves_;
+    std::unique_ptr<YoYOptionletBaseSolver> firstCapSolver_;
+    Bootstrap<optionlet_curve> bootstrap_;
+    // used to set up the first point on each vol curve
+    // using assumptions on unobserved vols at start
+};
+
+// template definitions
+
+template <class Interpolator1D, template <class> class Bootstrap>
+void InterpolatedYoYOptionletStripper<Interpolator1D, Bootstrap>::initialize(
+    const ext::shared_ptr<YoYCapFloorTermPriceSurface>& s, const ext::shared_ptr<YoYInflationCapFloorEngine>& p,
+    const Real slope) const {
+    YoYCapFloorTermPriceSurface_ = s;
+    p_ = p;
+    lag_ = YoYCapFloorTermPriceSurface_->observationLag();
+    frequency_ = YoYCapFloorTermPriceSurface_->frequency();
+    indexIsInterpolated_ = YoYCapFloorTermPriceSurface_->indexIsInterpolated();
+    Natural fixingDays_ = YoYCapFloorTermPriceSurface_->fixingDays();
+    Natural settlementDays = 0; // always
+    Calendar cal = YoYCapFloorTermPriceSurface_->calendar();
+    BusinessDayConvention bdc = YoYCapFloorTermPriceSurface_->businessDayConvention();
+    DayCounter dc = YoYCapFloorTermPriceSurface_->dayCounter();
 
         // switch from caps to floors when out of floors
         Rate maxFloor = YoYCapFloorTermPriceSurface_->floorStrikes().back();
@@ -188,116 +184,90 @@ namespace QuantLib {
                                                             false, lag_,
                                                             Currency(), hYoY));
 
-        // strip each K separatly
-        for (Size i=0; i<YoYCapFloorTermPriceSurface_->strikes().size(); i++) {
-            Rate K = YoYCapFloorTermPriceSurface_->strikes()[i];
-            if (K > maxFloor) useType = YoYInflationCapFloor::Cap;
-
-            // solve for the initial point on the vol curve
-            Brent solver;
-            Real solverTolerance_ = 1e-7;
-             // these are VOLATILITY guesses (always +)
-            Real lo = 0.00001, hi = 0.08;
-            Real guess = (hi+lo)/2.0;
-            Real found;
-            Real priceToMatch =
-                (useType == YoYInflationCapFloor::Cap ?
-                 YoYCapFloorTermPriceSurface_->capPrice(TPmin, K) :
-                 YoYCapFloorTermPriceSurface_->floorPrice(TPmin, K));
-
-            try{
-                found = solver.solve(
-                      ObjectiveFunction(useType, slope, K, lag_, fixingDays_,
-                                        anIndex, YoYCapFloorTermPriceSurface_,
-                                        p_, priceToMatch),
-                      solverTolerance_, guess, lo, hi );
-            } catch( std::exception &e) {
-                QL_FAIL("failed to find solution here because: " << e.what());
-            }
-
-            // ***create helpers***
-            Real notional = 10000; // work in bps
-            std::vector<ext::shared_ptr<BootstrapHelper<YoYOptionletVolatilitySurface> > > helperInstruments;
-            std::vector<ext::shared_ptr<YoYOptionletHelper> > helpers;
-            for (Size j = 0; j < YoYCapFloorTermPriceSurface_->maturities().size(); j++){
-                Period Tp = YoYCapFloorTermPriceSurface_->maturities()[j];
-
-                Real nextPrice =
-                    (useType == YoYInflationCapFloor::Cap ?
-                     YoYCapFloorTermPriceSurface_->capPrice(Tp, K) :
-                     YoYCapFloorTermPriceSurface_->floorPrice(Tp, K));
-
-                Handle<Quote> quote1(ext::shared_ptr<Quote>(
-                                               new SimpleQuote( nextPrice )));
-                // helper should be an integer number of periods away,
-                // this is enforced by rounding
-                Size nT = (Size)floor(s->timeFromReference(s->yoyOptionDateFromTenor(Tp))+0.5);
-                helpers.push_back(ext::shared_ptr<YoYOptionletHelper>(
-                          new YoYOptionletHelper(quote1, notional, useType,
-                                                 lag_,
-                                                 dc, cal,
-                                                 fixingDays_,
-                                                 anIndex, CPI::Flat,
-                                                 K, nT, p_)));
+    // strip each K separatly
+    for (Size i = 0; i < YoYCapFloorTermPriceSurface_->strikes().size(); i++) {
+        Rate K = YoYCapFloorTermPriceSurface_->strikes()[i];
+        if (K > maxFloor)
+            useType = YoYInflationCapFloor::Cap;
 
-                ext::shared_ptr<ConstantYoYOptionletVolatility> yoyVolBLACK(
-                          new ConstantYoYOptionletVolatility(found, settlementDays,
-                                                             cal, bdc, dc,
-                                                             lag_, frequency_,
-                                                             false,
-                                                             // -100% to +300%
-                                                             -1.0,3.0));
-
-                helpers[j]->setTermStructure(
-                       // gets underlying pointer & removes const
-                       const_cast<ConstantYoYOptionletVolatility*>(
-                                                          yoyVolBLACK.get()));
-                helperInstruments.push_back(helpers[j]);
-            }
-            // ***bootstrap***
-            // this is the artificial vol at zero so that first section works
-            Real Tmin = s->timeFromReference(s->yoyOptionDateFromTenor(TPmin));
-            Volatility baseYoYVolatility = found - slope * Tmin * found;
-            Rate eps = std::max(K, 0.02) / 1000.0;
-            Rate minStrike = K-eps;
-            Rate maxStrike = K+eps;
-            ext::shared_ptr<
-                PiecewiseYoYOptionletVolatilityCurve<Interpolator1D> > testPW(
-                new PiecewiseYoYOptionletVolatilityCurve<Interpolator1D>(
-                                            settlementDays, cal, bdc, dc, lag_,
-                                            frequency_, indexIsInterpolated_,
-                                            minStrike, maxStrike,
-                                            baseYoYVolatility,
-                                            helperInstruments) );
-            testPW->recalculate();
-            volCurves_.push_back(testPW);
+        Real priceToMatch = (useType == YoYInflationCapFloor::Cap ? YoYCapFloorTermPriceSurface_->capPrice(TPmin, K)
+                                                                  : YoYCapFloorTermPriceSurface_->floorPrice(TPmin, K));
+
+        // solve for the initial point on the vol curve
+
+        Real found = 0.0;
+        try {
+            found = firstCapSolver_->solveForImpliedVol(useType, slope, K, lag_, fixingDays_, anIndex,
+                                                        YoYCapFloorTermPriceSurface_, p_, priceToMatch);
+        } catch (std::exception& e) {
+            QL_FAIL("failed to find solution here because: " << e.what());
         }
-    }
 
+        // ***create helpers***
+        Real notional = 10000; // work in bps
+        std::vector<ext::shared_ptr<BootstrapHelper<YoYOptionletVolatilitySurface>>> helperInstruments;
+        std::vector<ext::shared_ptr<YoYOptionletHelper>> helpers;
+        for (Size j = 0; j < YoYCapFloorTermPriceSurface_->maturities().size(); j++) {
+            Period Tp = YoYCapFloorTermPriceSurface_->maturities()[j];
+
+            Real nextPrice = (useType == YoYInflationCapFloor::Cap ? YoYCapFloorTermPriceSurface_->capPrice(Tp, K)
+                                                                   : YoYCapFloorTermPriceSurface_->floorPrice(Tp, K));
+
+            Handle<Quote> quote1(ext::shared_ptr<Quote>(new SimpleQuote(nextPrice)));
+            // helper should be an integer number of periods away,
+            // this is enforced by rounding
+            Size nT = (Size)floor(s->timeFromReference(s->yoyOptionDateFromTenor(Tp)) + 0.5);
+            helpers.push_back(ext::shared_ptr<YoYOptionletHelper>(
+                new YoYOptionletHelper(quote1, notional, useType, lag_, dc, cal, fixingDays_, anIndex, CPI::Flat,
+                                                 K, nT, p_)));
+
+            ext::shared_ptr<ConstantYoYOptionletVolatility> yoyVolBLACK(
+                new ConstantYoYOptionletVolatility(found, settlementDays, cal, bdc, dc, lag_, frequency_, false,
+                                                   // -100% to +300%
+                                                   -1.0, 3.0));
 
-    template <class Interpolator1D>
-    std::pair<std::vector<Rate>, std::vector<Volatility> >
-    InterpolatedYoYOptionletStripper<Interpolator1D>::slice(
-                                                        const Date &d) const {
+            helpers[j]->setTermStructure(
+                // gets underlying pointer & removes const
+                const_cast<ConstantYoYOptionletVolatility*>(yoyVolBLACK.get()));
+            helperInstruments.push_back(helpers[j]);
+        }
+        // ***bootstrap***
+        // this is the artificial vol at zero so that first section works
+        Real Tmin = s->timeFromReference(s->yoyOptionDateFromTenor(TPmin));
+        Volatility baseYoYVolatility = found - slope * Tmin * found;
+        Rate eps = std::max(K, 0.02) / 1000.0;
+        Rate minStrike = K - eps;
+        Rate maxStrike = K + eps;
+
+        auto testPW = ext::make_shared<PiecewiseYoYOptionletVolatilityCurve<Interpolator1D, Bootstrap>>(
+                                             settlementDays, cal, bdc, dc, lag_, frequency_, indexIsInterpolated_,
+                                             minStrike, maxStrike, baseYoYVolatility, helperInstruments, 1.0e-12,
+                                             Interpolator1D(), bootstrap_);
+        testPW->recalculate();
+        volCurves_.push_back(testPW);
+    }
+}
 
-        const std::vector<Real>& Ks = strikes();
+template <class Interpolator1D, template <class> class Bootstrap>
+std::pair<std::vector<Rate>, std::vector<Volatility>>
+InterpolatedYoYOptionletStripper<Interpolator1D, Bootstrap>::slice(const Date& d) const {
 
-        const Size nK = Ks.size();
+    const std::vector<Real>& Ks = strikes();
 
-        std::pair<std::vector<Rate>, std::vector<Volatility> > result =
-            std::make_pair(std::vector<Rate>(nK), std::vector<Volatility>(nK));
+    const Size nK = Ks.size();
 
-        for (Size i = 0; i < nK; i++) {
-            Rate K = Ks[i];
-            Volatility v = volCurves_[i]->volatility(d, K);
-            result.first[i] = K;
-            result.second[i] = v;
-        }
+    std::pair<std::vector<Rate>, std::vector<Volatility>> result =
+        std::make_pair(std::vector<Rate>(nK), std::vector<Volatility>(nK));
 
-        return result;
+    for (Size i = 0; i < nK; i++) {
+        Rate K = Ks[i];
+        Volatility v = volCurves_[i]->volatility(d, K);
+        result.first[i] = K;
+        result.second[i] = v;
     }
 
+    return result;
 }
+} // namespace QuantLib
 
 #endif
-
diff --git a/ql/experimental/inflation/kinterpolatedyoyoptionletvolatilitysurface.hpp b/ql/experimental/inflation/kinterpolatedyoyoptionletvolatilitysurface.hpp
index 86673453dbd..4750efbc50b 100644
--- ql/experimental/inflation/kinterpolatedyoyoptionletvolatilitysurface.hpp
+++ ql/experimental/inflation/kinterpolatedyoyoptionletvolatilitysurface.hpp
@@ -25,7 +25,6 @@
 #define quantlib_k_interpolated_yoy_optionlet_volatility_surface_hpp
 
 #include <ql/experimental/inflation/yoyoptionletstripper.hpp>
-#include <utility>
 
 namespace QuantLib {
 
@@ -49,29 +48,30 @@ namespace QuantLib {
         //! \name Constructor
         //! calculate the reference date based on the global evaluation date
         KInterpolatedYoYOptionletVolatilitySurface(
-            Natural settlementDays,
-            const Calendar&,
-            BusinessDayConvention bdc,
-            const DayCounter& dc,
-            const Period& lag,
-            const ext::shared_ptr<YoYCapFloorTermPriceSurface>& capFloorPrices,
-            ext::shared_ptr<YoYInflationCapFloorEngine> pricer,
-            ext::shared_ptr<YoYOptionletStripper> yoyOptionletStripper,
-            Real slope,
-            const Interpolator1D& interpolator = Interpolator1D(),
-            VolatilityType volType = ShiftedLognormal,
-            Real displacement = 0.0);
-
-        Real minStrike() const override;
-        Real maxStrike() const override;
-        Date maxDate() const override;
+           const Natural settlementDays,
+           const Calendar&,
+           const BusinessDayConvention bdc,
+           const DayCounter& dc,
+           const Period& lag,
+           const ext::shared_ptr<YoYCapFloorTermPriceSurface>& capFloorPrices,
+           const ext::shared_ptr<YoYInflationCapFloorEngine>& pricer,
+           const ext::shared_ptr<YoYOptionletStripper>& yoyOptionletStripper,
+           const Real slope,
+           const Interpolator1D& interpolator = Interpolator1D(),
+           VolatilityType volType = ShiftedLognormal,
+           Real displacement = 0.0);
+
+        virtual Real minStrike() const override;
+        virtual Real maxStrike() const override;
+        virtual Date maxDate() const override;
         std::pair<std::vector<Rate>, std::vector<Volatility> > Dslice(
                                                          const Date &d) const;
 
       protected:
         virtual Volatility volatilityImpl(const Date &d,
                                           Rate strike) const;
-        Volatility volatilityImpl(Time length, Rate strike) const override;
+        virtual Volatility volatilityImpl(Time length,
+                                          Rate strike) const override;
         virtual void performCalculations() const;
 
         ext::shared_ptr<YoYCapFloorTermPriceSurface> capFloorPrices_;
@@ -91,33 +91,28 @@ namespace QuantLib {
 
     // template definitions
 
-    template <class Interpolator1D>
+    template<class Interpolator1D>
     KInterpolatedYoYOptionletVolatilitySurface<Interpolator1D>::
-        KInterpolatedYoYOptionletVolatilitySurface(
-            const Natural settlementDays,
-            const Calendar& cal,
-            const BusinessDayConvention bdc,
-            const DayCounter& dc,
-            const Period& lag,
-            const ext::shared_ptr<YoYCapFloorTermPriceSurface>& capFloorPrices,
-            ext::shared_ptr<YoYInflationCapFloorEngine> pricer,
-            ext::shared_ptr<YoYOptionletStripper> yoyOptionletStripper,
-            const Real slope,
-            const Interpolator1D& interpolator,
-            VolatilityType volType,
-            Real displacement)
-    : YoYOptionletVolatilitySurface(settlementDays,
-                                    cal,
-                                    bdc,
-                                    dc,
-                                    lag,
+    KInterpolatedYoYOptionletVolatilitySurface(
+         const Natural settlementDays,
+         const Calendar& cal,
+         const BusinessDayConvention bdc,
+         const DayCounter& dc,
+         const Period &lag,
+         const ext::shared_ptr<YoYCapFloorTermPriceSurface> &capFloorPrices,
+         const ext::shared_ptr<YoYInflationCapFloorEngine> &pricer,
+         const ext::shared_ptr<YoYOptionletStripper> &yoyOptionletStripper,
+         const Real slope,
+         const Interpolator1D &interpolator,
+         VolatilityType volType,
+         Real displacement)
+    : YoYOptionletVolatilitySurface(settlementDays, cal, bdc, dc, lag,
                                     capFloorPrices->yoyIndex()->frequency(),
                                     capFloorPrices->yoyIndex()->interpolated(),
-                                    volType,
-                                    displacement),
+                                    volType, displacement),
       capFloorPrices_(capFloorPrices), yoyInflationCouponPricer_(std::move(pricer)),
-      yoyOptionletStripper_(std::move(yoyOptionletStripper)), factory1D_(interpolator),
-      slope_(slope) {
+      yoyOptionletStripper_(std::move(yoyOptionletStripper)),
+      factory1D_(interpolator), slope_(slope), lastDateisSet_(false) {
         performCalculations();
     }
 
@@ -179,8 +174,8 @@ namespace QuantLib {
     Volatility KInterpolatedYoYOptionletVolatilitySurface<Interpolator1D>::
     volatilityImpl(Time length,  Rate strike) const {
 
-        auto years = (Natural)floor(length);
-        auto days = (Natural)floor((length - years) * 365.0);
+        Natural years = (Natural)floor(length);
+        Natural days = (Natural)floor((length - years) * 365.0);
         Date d = referenceDate() + Period(years, Years) + Period(days, Days);
 
         return this->volatilityImpl(d, strike);
diff --git a/ql/experimental/inflation/piecewiseyoyoptionletvolatility.hpp b/ql/experimental/inflation/piecewiseyoyoptionletvolatility.hpp
index a906c1e73cf..54ccd61dd22 100644
--- ql/experimental/inflation/piecewiseyoyoptionletvolatility.hpp
+++ ql/experimental/inflation/piecewiseyoyoptionletvolatility.hpp
@@ -74,7 +74,8 @@ namespace QuantLib {
                                   bool,
                                   Size) // firstAliveHelper
         {
-            return std::max(0.0, c->data()[i-1] - 0.02); // vol cannot be negative
+            // vol cannot be negative
+            return 1e-8;
         }
         template <class C>
         static Real maxValueAfter(Size i,
@@ -82,7 +83,7 @@ namespace QuantLib {
                                   bool,
                                   Size) // firstAliveHelper
         {
-            return c->data()[i-1] + 0.02;
+            return c->data()[i-1] + 0.05;
         }
 
         // root-finding update
@@ -108,13 +109,13 @@ namespace QuantLib {
     class PiecewiseYoYOptionletVolatilityCurve
         : public InterpolatedYoYOptionletVolatilityCurve<Interpolator>,
           public LazyObject {
-      private:
+    public:
         typedef InterpolatedYoYOptionletVolatilityCurve<Interpolator>
                                                                    base_curve;
         typedef PiecewiseYoYOptionletVolatilityCurve<Interpolator,
                                                      Bootstrap,
                                                      Traits> this_curve;
-      public:
+      
         typedef Traits traits_type;
         typedef Interpolator interpolator_type;
 
@@ -131,7 +132,8 @@ namespace QuantLib {
             Volatility baseYoYVolatility,
             std::vector<ext::shared_ptr<typename Traits::helper> > instruments,
             Real accuracy = 1.0e-12,
-            const Interpolator& interpolator = Interpolator())
+            const Interpolator& interpolator = Interpolator(),
+            const Bootstrap<this_curve>& bootstrap = Bootstrap<this_curve>())
         : base_curve(settlementDays,
                      cal,
                      bdc,
@@ -143,7 +145,7 @@ namespace QuantLib {
                      maxStrike,
                      baseYoYVolatility,
                      interpolator),
-          instruments_(std::move(instruments)), accuracy_(accuracy) {
+          instruments_(std::move(instruments)), accuracy_(accuracy), bootstrap_(bootstrap) {
             bootstrap_.setup(this);
         }
 
@@ -169,7 +171,6 @@ namespace QuantLib {
         // data members
         std::vector<ext::shared_ptr<typename Traits::helper> > instruments_;
         Real accuracy_;
-
         friend class Bootstrap<this_curve>;
         Bootstrap<this_curve> bootstrap_;
     };
diff --git a/ql/experimental/inflation/yoycapfloortermpricesurface.hpp b/ql/experimental/inflation/yoycapfloortermpricesurface.hpp
index d36dea5e5aa..f90d1026de1 100644
--- ql/experimental/inflation/yoycapfloortermpricesurface.hpp
+++ ql/experimental/inflation/yoycapfloortermpricesurface.hpp
@@ -617,7 +617,7 @@ namespace QuantLib {
         auto pYITS =
             ext::make_shared<PiecewiseYoYInflationCurve<Linear>>(
                       nominalTS_->referenceDate(), baseDate, baseYoYRate,
-                      yoyIndex()->frequency(), dayCounter(), YYhelpers);
+                      observationLag(), yoyIndex()->frequency(), dayCounter(), YYhelpers);
         pYITS->recalculate();
         yoy_ = pYITS;   // store
 
@@ -636,4 +636,4 @@ namespace QuantLib {
 }
 
 
-#endif
+#endif
\ No newline at end of file
diff --git a/ql/experimental/math/piecewisefunction.hpp b/ql/experimental/math/piecewisefunction.hpp
index f96efb10744..4555d01c777 100644
--- ql/experimental/math/piecewisefunction.hpp
+++ ql/experimental/math/piecewisefunction.hpp
@@ -44,4 +44,22 @@
     Y[std::min<std::size_t>(                                                   \
         std::upper_bound(X.begin(), X.end(), x) - X.begin(), Y.size() - 1)]
 
+/*! This defines a piecewise constant function which is LCRL and takes
+    the values Y[0], Y[1], ... Y[n] on the intervals
+    (-\infty, X[0] ], ( X[0], X[1] ], ... , ( X[n-1], \infty)
+    Normally Y.size() should be X.size(). If more values for Y are
+    given, they are ignored. If less values are given the last given
+    value is kept the same for the remaining intervals.
+    If X.size() is 0 a constant function taking the value Y[0] is
+    evaluated.
+
+    \warning If X.size() or Y.size() is 0, or if they are not equal,
+             undefined behavior occurs. These conditions are not checked
+             for performance reasons.
+*/
+
+#define QL_PIECEWISE_FUNCTION2(X, Y, x)                                         \
+    Y[std::min<std::size_t>(                                                    \
+        std::lower_bound(X.begin(), X.end(), x) - X.begin(), Y.size() - 1)]
+
 #endif
diff --git a/ql/experimental/math/piecewiseintegral.cpp b/ql/experimental/math/piecewiseintegral.cpp
index f675621b486..14f2c6f1b84 100644
--- ql/experimental/math/piecewiseintegral.cpp
+++ ql/experimental/math/piecewiseintegral.cpp
@@ -37,4 +37,11 @@ namespace QuantLib {
         criticalPoints_.resize(end - criticalPoints_.begin());
     }
 
+    ext::shared_ptr<Integrator> unwrapPiecewiseIntegrator(ext::shared_ptr<Integrator> integrator) {
+        while (auto p = ext::dynamic_pointer_cast<PiecewiseIntegral>(integrator)) {
+            integrator = p->integrator();
+        }
+        return integrator;
+    }
+
 } // namespace QuantLib
diff --git a/ql/experimental/math/piecewiseintegral.hpp b/ql/experimental/math/piecewiseintegral.hpp
index 8438fb62f29..d48ea8f1a82 100644
--- ql/experimental/math/piecewiseintegral.hpp
+++ ql/experimental/math/piecewiseintegral.hpp
@@ -41,6 +41,9 @@ class PiecewiseIntegral : public Integrator {
                       std::vector<Real> criticalPoints,
                       bool avoidCriticalPoints = true);
 
+    ext::shared_ptr<Integrator> integrator() const { return integrator_; }
+    const std::vector<Real> criticalPoints() const { return criticalPoints_; }
+
   protected:
     Real integrate(const std::function<Real(Real)>& f, Real a, Real b) const override;
 
@@ -52,6 +55,8 @@ class PiecewiseIntegral : public Integrator {
     const Real eps_;
 };
 
+ext::shared_ptr<Integrator> unwrapPiecewiseIntegrator(ext::shared_ptr<Integrator> integrator);
+
 // inline
 
 inline Real PiecewiseIntegral::integrate_h(const std::function<Real(Real)> &f,
diff --git a/ql/experimental/volatility/interestratevolsurface.hpp b/ql/experimental/volatility/interestratevolsurface.hpp
index 6515599a1ae..cba306ecadf 100644
--- ql/experimental/volatility/interestratevolsurface.hpp
+++ ql/experimental/volatility/interestratevolsurface.hpp
@@ -66,7 +66,7 @@ namespace QuantLib {
         //! \name VolatilityTermStructure interface
         //@{
         //! period/date conversion
-        Date optionDateFromTenor(const Period&) const;
+        Date optionDateFromTenor(const Period&) const override;
         //@}
         const ext::shared_ptr<InterestRateIndex>& index() const;
         //! \name Visitability
diff --git a/ql/experimental/volatility/noarbsabr.cpp b/ql/experimental/volatility/noarbsabr.cpp
index 46c1ece14a6..f196b828a9a 100644
--- ql/experimental/volatility/noarbsabr.cpp
+++ ql/experimental/volatility/noarbsabr.cpp
@@ -222,9 +222,8 @@ Real D0Interpolator::operator()() const {
     // we do not need to check the indices here, because this is already
     // done in the NoArbSabr constructor
 
-    Size tauInd = std::upper_bound(tauG_.begin(), tauG_.end(), expiryTime_) -
-                                   tauG_.begin();
-    if (tauInd == tauG_.size())
+    int tauInd = (int)(std::upper_bound(tauG_.begin(), tauG_.end(), expiryTime_) - tauG_.begin());
+    if (tauInd == (int)tauG_.size())
         --tauInd; // tau at upper bound
     Real expiryTimeTmp = expiryTime_;
     if (tauInd == 0) {
@@ -234,18 +233,16 @@ Real D0Interpolator::operator()() const {
     Real tauL = (expiryTimeTmp - tauG_[tauInd - 1]) /
                 (tauG_[tauInd] - tauG_[tauInd - 1]);
 
-    Size sigmaIInd =
-        sigmaIG_.size() -
-        (std::upper_bound(sigmaIG_.rbegin(), sigmaIG_.rend(), sigmaI_) -
-         sigmaIG_.rbegin());
+    int sigmaIInd =
+        (int)sigmaIG_.size() -
+        (std::upper_bound(sigmaIG_.rbegin(), sigmaIG_.rend(), sigmaI_) - sigmaIG_.rbegin());
     if (sigmaIInd == 0)
         ++sigmaIInd; // sigmaI at upper bound
     Real sigmaIL = (sigmaI_ - sigmaIG_[sigmaIInd - 1]) /
                    (sigmaIG_[sigmaIInd] - sigmaIG_[sigmaIInd - 1]);
 
-    Size rhoInd =
-        rhoG_.size() -
-        (std::upper_bound(rhoG_.rbegin(), rhoG_.rend(), rho_) - rhoG_.rbegin());
+    int rhoInd =
+        (int)rhoG_.size() - (std::upper_bound(rhoG_.rbegin(), rhoG_.rend(), rho_) - rhoG_.rbegin());
     if (rhoInd == 0) {
         rhoInd++;
     }
@@ -256,15 +253,14 @@ Real D0Interpolator::operator()() const {
         (rho_ - rhoG_[rhoInd - 1]) / (rhoG_[rhoInd] - rhoG_[rhoInd - 1]);
 
     // for nu = 0 we know phi = 0.5*z_F^2
-    Size nuInd = std::upper_bound(nuG_.begin(), nuG_.end(), nu_) - nuG_.begin();
+    int nuInd = std::upper_bound(nuG_.begin(), nuG_.end(), nu_) - nuG_.begin();
     if (nuInd == nuG_.size())
         --nuInd; // nu at upper bound
     Real tmpNuG = nuInd > 0 ? nuG_[nuInd - 1] : 0.0;
     Real nuL = (nu_ - tmpNuG) / (nuG_[nuInd] - tmpNuG);
 
     // for beta = 1 we know phi = 0.0
-    Size betaInd =
-        std::upper_bound(betaG_.begin(), betaG_.end(), beta_) - betaG_.begin();
+    int betaInd = std::upper_bound(betaG_.begin(), betaG_.end(), beta_) - betaG_.begin();
     Real tmpBetaG;
     if (betaInd == betaG_.size())
         tmpBetaG = 1.0;
diff --git a/ql/index.hpp b/ql/index.hpp
index a7ae12f6fd1..19c2babc5d4 100644
--- ql/index.hpp
+++ ql/index.hpp
@@ -56,7 +56,7 @@ namespace QuantLib {
         //! returns TRUE if the fixing date is a valid one
         virtual bool isValidFixingDate(const Date& fixingDate) const = 0;
         //! returns whether a historical fixing was stored for the given date
-        bool hasHistoricalFixing(const Date& fixingDate) const;
+        virtual bool hasHistoricalFixing(const Date& fixingDate) const;
         //! returns the fixing at the given date
         /*! the date passed as arguments must be the actual calendar
             date of the fixing; no settlement days must be used.
diff --git a/ql/indexes/iborindex.hpp b/ql/indexes/iborindex.hpp
index 7fed3d7f116..dbd6f36c192 100644
--- ql/indexes/iborindex.hpp
+++ ql/indexes/iborindex.hpp
@@ -62,10 +62,6 @@ namespace QuantLib {
                         const Handle<YieldTermStructure>& forwarding) const;
         // @}
       protected:
-        BusinessDayConvention convention_;
-        Handle<YieldTermStructure> termStructure_;
-        bool endOfMonth_;
-      private:
         // overload to avoid date/time (re)calculation
         /* This can be called with cached coupon dates (and it does
            give quite a performance boost to coupon calculations) but
@@ -78,10 +74,13 @@ namespace QuantLib {
            public, but before doing that I'd think hard whether we
            have any other way to get the same results.
         */
-        Rate forecastFixing(const Date& valueDate,
+        virtual Rate forecastFixing(const Date& valueDate,
                             const Date& endDate,
                             Time t) const;
         friend class IborCoupon;
+        BusinessDayConvention convention_;
+        Handle<YieldTermStructure> termStructure_;
+        bool endOfMonth_;
     };
 
 
diff --git a/ql/indexes/inflation/aucpi.hpp b/ql/indexes/inflation/aucpi.hpp
index 9c2b2c161b4..b77b7a50019 100644
--- ql/indexes/inflation/aucpi.hpp
+++ ql/indexes/inflation/aucpi.hpp
@@ -37,7 +37,7 @@ namespace QuantLib {
               bool revised,
               const Handle<ZeroInflationTermStructure>& ts = {})
         : ZeroInflationIndex(
-              "CPI", AustraliaRegion(), revised, frequency, Period(2, Months), AUDCurrency(), ts) {}
+              "CPI", AustraliaRegion(), revised, frequency, Period(1, Months), AUDCurrency(), ts) {}
     };
 
 
@@ -70,7 +70,7 @@ namespace QuantLib {
                             revised,
                             interpolated,
                             frequency,
-                            Period(2, Months),
+                            Period(1, Months),
                             AUDCurrency(),
                             ts) {}
 
diff --git a/ql/indexes/inflationindex.cpp b/ql/indexes/inflationindex.cpp
index 9614988b4a4..057f47bdaec 100644
--- ql/indexes/inflationindex.cpp
+++ ql/indexes/inflationindex.cpp
@@ -151,6 +151,42 @@ namespace QuantLib {
                           rates.begin(), forceOverwrite);
     }
 
+    bool InflationIndex::needsForecast(const Date& fixingDate) const {
+
+        // Stored fixings are always non-interpolated.
+        // If an interpolated fixing is required then
+        // the availability lag + one inflation period
+        // must have passed to use historical fixings
+        // (because you need the next one to interpolate).
+        // The interpolation is calculated (linearly) on demand.
+
+        Date today = Settings::instance().evaluationDate();
+        Date todayMinusLag = today - availabilityLag_;
+        std::pair<Date, Date> lastAvailableFixingPeriod =
+            inflationPeriod(todayMinusLag, frequency_);
+        Date historicalFixingKnown = lastAvailableFixingPeriod.first - 1;
+        Date historicalFixingUnkown = std::min(today, lastAvailableFixingPeriod.second);
+        Date latestNeededDate = fixingDate;
+        
+        if (latestNeededDate <= historicalFixingKnown) {
+            // the fixing date is well before the availability lag, so
+            // we know that fixings were provided.
+            return false;
+        } else if (latestNeededDate > historicalFixingUnkown) {
+            // the fixing can't be available, no matter what's in the
+            // time series
+            return true;
+        } else {
+            // we're not sure, but the fixing might be there so we
+            // check.  Todo: check which fixings are not possible, to
+            // avoid using fixings in the future, assuming that a fixing
+            // isn't available before the 10th of the current month.
+            Date lookupFixingDate = Date(1, latestNeededDate.month(), latestNeededDate.year());
+            Real f = timeSeries()[lookupFixingDate];
+            return (f == Null<Real>() || today.dayOfMonth()<10);
+        }
+    }
+
     ZeroInflationIndex::ZeroInflationIndex(const std::string& familyName,
                                            const Region& region,
                                            bool revised,
@@ -200,14 +236,17 @@ namespace QuantLib {
         // Zero-index fixings are always non-interpolated.
         auto fixingPeriod = inflationPeriod(fixingDate, frequency_);
         Date latestNeededDate = fixingPeriod.first;
+        // Instead enforcing strict availability lag, we give a grace period of
+        // two periods, in the grace period we check the actual available fixing
+        Date possiblePublishedFixing = latestPossibleHistoricalFixingPeriod.first;
 
-        if (latestNeededDate < latestPossibleHistoricalFixingPeriod.first) {
-            // the fixing date is well before the availability lag, so
-            // we know that fixings must be provided.
-            return false;
-        } else if (latestNeededDate > latestPossibleHistoricalFixingPeriod.second) {
-            // the fixing can't be available yet
+        Date expectedPublishedFixing =
+            inflationPeriod(possiblePublishedFixing -1, frequency_).first - 1;
+
+        if (latestNeededDate > latestPossibleHistoricalFixingPeriod.second) {
             return true;
+        } else if (latestNeededDate < expectedPublishedFixing) {
+            return false;
         } else {
             // we're not sure, but the fixing might be there so we check.
             Real f = timeSeries()[latestNeededDate];
@@ -242,7 +281,7 @@ namespace QuantLib {
 
     YoYInflationIndex::YoYInflationIndex(const ext::shared_ptr<ZeroInflationIndex>& underlyingIndex,
                                          Handle<YoYInflationTermStructure> yoyInflation)
-    : InflationIndex("YYR_" + underlyingIndex->familyName(), underlyingIndex->region(),
+    : InflationIndex(underlyingIndex->familyName(), underlyingIndex->region(),
                      underlyingIndex->revised(), underlyingIndex->frequency(),
                      underlyingIndex->availabilityLag(), underlyingIndex->currency()),
       interpolated_(false), ratio_(true), underlyingIndex_(underlyingIndex),
@@ -337,12 +376,14 @@ namespace QuantLib {
     Real YoYInflationIndex::pastFixing(const Date& fixingDate) const {
         if (ratio()) {
 
-            auto interpolationType = interpolated() ? CPI::Linear : CPI::Flat;
+                auto interpolationType = interpolated() ? CPI::Linear : CPI::Flat;
 
-            Rate pastFixing = CPI::laggedFixing(underlyingIndex_, fixingDate, Period(0, Months), interpolationType);
-            Rate previousFixing = CPI::laggedFixing(underlyingIndex_, fixingDate - 1*Years, Period(0, Months), interpolationType);
+                Rate pastFixing = CPI::laggedFixing(underlyingIndex_, fixingDate, Period(0, Months),
+                                                    interpolationType);
+                Rate previousFixing = CPI::laggedFixing(underlyingIndex_, fixingDate - 1 * Years,
+                                                        Period(0, Months), interpolationType);
 
-            return pastFixing/previousFixing - 1.0;
+                return pastFixing / previousFixing - 1.0;
 
         } else {  // NOT ratio
 
diff --git a/ql/indexes/inflationindex.hpp b/ql/indexes/inflationindex.hpp
index cf41f0b6ec1..ae7d67773f9 100644
--- ql/indexes/inflationindex.hpp
+++ ql/indexes/inflationindex.hpp
@@ -136,6 +136,7 @@ namespace QuantLib {
         //@}
 
       protected:
+        bool needsForecast(const Date& fixingDate) const;
         Date referenceDate_;
         std::string familyName_;
         Region region_;
diff --git a/ql/indexes/swapindex.cpp b/ql/indexes/swapindex.cpp
index f1d2f261876..00af3604ba4 100644
--- ql/indexes/swapindex.cpp
+++ ql/indexes/swapindex.cpp
@@ -183,18 +183,20 @@ namespace QuantLib {
         const Currency& currency,
         const ext::shared_ptr<OvernightIndex>& overnightIndex,
         bool telescopicValueDates,
-        RateAveraging::Type averagingMethod)
+        RateAveraging::Type averagingMethod,
+        const Period& fixedLegTenor,
+        Handle<YieldTermStructure> discount)
     : SwapIndex(familyName,
                 tenor,
                 settlementDays,
                 currency,
                 overnightIndex->fixingCalendar(),
-                1 * Years,
+                fixedLegTenor,
                 ModifiedFollowing,
                 overnightIndex->dayCounter(),
-                overnightIndex),
-      overnightIndex_(overnightIndex), 
-      telescopicValueDates_(telescopicValueDates), 
+                overnightIndex,
+                discount),
+      overnightIndex_(overnightIndex), telescopicValueDates_(telescopicValueDates),
       averagingMethod_(averagingMethod) {}
 
 
@@ -206,14 +208,67 @@ namespace QuantLib {
         // caching mechanism
         if (lastFixingDate_!=fixingDate) {
             Rate fixedRate = 0.0;
-            lastSwap_ = MakeOIS(tenor_, overnightIndex_, fixedRate)
-                .withEffectiveDate(valueDate(fixingDate))
-                .withFixedLegDayCount(dayCounter_)
-                .withTelescopicValueDates(telescopicValueDates_)
-                .withAveragingMethod(averagingMethod_);
+            if (exogenousDiscount_) {
+                lastSwap_ = MakeOIS(tenor_, overnightIndex_, fixedRate)
+                                .withEffectiveDate(valueDate(fixingDate))
+                                .withFixedLegDayCount(dayCounter_)
+                                .withTelescopicValueDates(telescopicValueDates_)
+                                .withAveragingMethod(averagingMethod_)
+                                .withPaymentFrequency(fixedLegTenor_.frequency())
+                                .withDiscountingTermStructure(discount_);
+            } else {
+                lastSwap_ = MakeOIS(tenor_, overnightIndex_, fixedRate)
+                                .withEffectiveDate(valueDate(fixingDate))
+                                .withFixedLegDayCount(dayCounter_)
+                                .withTelescopicValueDates(telescopicValueDates_)
+                                .withAveragingMethod(averagingMethod_)
+                                .withPaymentFrequency(fixedLegTenor_.frequency())
+                                .withDiscountingTermStructure(discount_);
+            }
             lastFixingDate_ = fixingDate;
         }
         return lastSwap_;
     }
 
+    Rate OvernightIndexedSwapIndex::forecastFixing(const Date& fixingDate) const {
+        return underlyingSwap(fixingDate)->fairRate();
+    }
+
+    ext::shared_ptr<SwapIndex>
+    OvernightIndexedSwapIndex::clone(const Handle<YieldTermStructure>& forwarding) const {
+
+        if (exogenousDiscount_)
+            return ext::shared_ptr<SwapIndex>(new OvernightIndexedSwapIndex(
+                familyName(), tenor(), fixingDays(), currency(),
+                ext::dynamic_pointer_cast<OvernightIndex>(overnightIndex()->clone(forwarding)),
+                telescopicValueDates(), averagingMethod(), fixedLegTenor(), discount_));
+        else
+            return ext::shared_ptr<SwapIndex>(new OvernightIndexedSwapIndex(
+                familyName(), tenor(), fixingDays(), currency(),
+                ext::dynamic_pointer_cast<OvernightIndex>(overnightIndex()->clone(forwarding)),
+                telescopicValueDates(), averagingMethod(), fixedLegTenor()));
+    }
+
+    ext::shared_ptr<SwapIndex>
+    OvernightIndexedSwapIndex::clone(const Handle<YieldTermStructure>& forwarding,
+                                     const Handle<YieldTermStructure>& discounting) const {
+        return ext::shared_ptr<SwapIndex>(new OvernightIndexedSwapIndex(
+            familyName(), tenor(), fixingDays(), currency(),
+            ext::dynamic_pointer_cast<OvernightIndex>(overnightIndex()->clone(forwarding)),
+            telescopicValueDates(), averagingMethod(), fixedLegTenor(), discounting));
+    }
+
+    ext::shared_ptr<SwapIndex> OvernightIndexedSwapIndex::clone(const Period& tenor) const {
+
+        if (exogenousDiscount_)
+            return ext::shared_ptr<SwapIndex>(new OvernightIndexedSwapIndex(
+                familyName(), tenor, fixingDays(), currency(),
+                ext::dynamic_pointer_cast<OvernightIndex>(overnightIndex()), telescopicValueDates(),
+                averagingMethod(), fixedLegTenor(), discount_));
+        else
+            return ext::shared_ptr<SwapIndex>(new OvernightIndexedSwapIndex(
+                familyName(), tenor, fixingDays(), currency(),
+                ext::dynamic_pointer_cast<OvernightIndex>(overnightIndex()), telescopicValueDates(),
+                averagingMethod(), fixedLegTenor()));
+    }
 }
diff --git a/ql/indexes/swapindex.hpp b/ql/indexes/swapindex.hpp
index cfa61a5c2ce..9d1c4d114a8 100644
--- ql/indexes/swapindex.hpp
+++ ql/indexes/swapindex.hpp
@@ -109,23 +109,41 @@ namespace QuantLib {
     class OvernightIndexedSwapIndex : public SwapIndex {
       public:
         OvernightIndexedSwapIndex(
-                  const std::string& familyName,
-                  const Period& tenor,
-                  Natural settlementDays,
-                  const Currency& currency,
-                  const ext::shared_ptr<OvernightIndex>& overnightIndex,
-                  bool telescopicValueDates = false,
-                  RateAveraging::Type averagingMethod = RateAveraging::Compound);
+            const std::string& familyName,
+            const Period& tenor,
+            Natural settlementDays,
+            const Currency& currency,
+            const ext::shared_ptr<OvernightIndex>& overnightIndex,
+            bool telescopicValueDates = false,
+            RateAveraging::Type averagingMethod = RateAveraging::Compound,
+            const Period& fixedLegTenor = 1 * Years,
+            Handle<YieldTermStructure> discountingTermStructure = Handle<YieldTermStructure>());
         //! \name Inspectors
         //@{
         ext::shared_ptr<OvernightIndex> overnightIndex() const;
+	RateAveraging::Type averagingMethod() const;
+	bool telescopicValueDates() const;
         /*! \warning Relinking the term structure underlying the index will
                      not have effect on the returned swap.
         */
         ext::shared_ptr<OvernightIndexedSwap> underlyingSwap(
                                                 const Date& fixingDate) const;
         //@}
+        //! \name Other methods
+        //@{
+        //! returns a copy of itself linked to a different forwarding curve
+        virtual ext::shared_ptr<SwapIndex> clone(
+                        const Handle<YieldTermStructure>& forwarding) const override;
+        //! returns a copy of itself linked to different curves
+        virtual ext::shared_ptr<SwapIndex> clone(
+                        const Handle<YieldTermStructure>& forwarding,
+                        const Handle<YieldTermStructure>& discounting) const override;
+        //! returns a copy of itself with different tenor
+        virtual ext::shared_ptr<SwapIndex> clone(
+                        const Period& tenor) const override;
+        // @}
       protected:
+        Rate forecastFixing(const Date& fixingDate) const override;
         ext::shared_ptr<OvernightIndex> overnightIndex_;
         bool telescopicValueDates_;
         RateAveraging::Type averagingMethod_;
@@ -150,6 +168,14 @@ namespace QuantLib {
         return overnightIndex_;
     }
 
+    inline RateAveraging::Type OvernightIndexedSwapIndex::averagingMethod() const {
+        return averagingMethod_;
+    }
+
+    inline bool OvernightIndexedSwapIndex::telescopicValueDates() const {
+	return telescopicValueDates_;
+    }
+
 }
 
 #endif
--- ql/instruments/bmaswap.cpp
+++ ql/instruments/bmaswap.cpp
@@ -18,70 +18,110 @@
  FOR A PARTICULAR PURPOSE.  See the license for more details.
 */
 
-#include <ql/instruments/bmaswap.hpp>
-#include <ql/cashflows/iborcoupon.hpp>
 #include <ql/cashflows/averagebmacoupon.hpp>
+#include <ql/cashflows/iborcoupon.hpp>
+#include <ql/cashflows/overnightindexedcoupon.hpp>
+#include <ql/instruments/bmaswap.hpp>
 
 namespace QuantLib {
 
     BMASwap::BMASwap(Type type,
                      Real nominal,
-                     // Libor leg
-                     Schedule liborSchedule,
-                     Real liborFraction,
-                     Spread liborSpread,
-                     const ext::shared_ptr<IborIndex>& liborIndex,
-                     const DayCounter& liborDayCount,
+                     // Index leg
+                     Schedule indexSchedule,
+                     Real indexFraction,
+                     Spread indexSpread,
+                     const ext::shared_ptr<IborIndex>& index,
+                     const DayCounter& indexDayCount,
                      // BMA leg
                      Schedule bmaSchedule,
                      const ext::shared_ptr<BMAIndex>& bmaIndex,
-                     const DayCounter& bmaDayCount)
-    : Swap(2), type_(type), nominal_(nominal),
-      liborFraction_(liborFraction), liborSpread_(liborSpread)  {
-
-        BusinessDayConvention convention =
-            liborSchedule.businessDayConvention();
-
-        legs_[0] = IborLeg(std::move(liborSchedule), liborIndex)
-            .withNotionals(nominal)
-            .withPaymentDayCounter(liborDayCount)
-            .withPaymentAdjustment(convention)
-            .withFixingDays(liborIndex->fixingDays())
-            .withGearings(liborFraction)
-            .withSpreads(liborSpread);
+                     const DayCounter& bmaDayCount,
+                     // Payment adjustments
+                     Calendar indexPaymentCalendar,
+                     BusinessDayConvention indexPaymentConvention,
+                     Natural indexPaymentLag,
+                     Calendar bmaPaymentCalendar,
+                     BusinessDayConvention bmaPaymentConvention,
+                     Natural bmaPaymentLag,
+                     // overnight conventions
+                     Natural overnightLockoutDays,
+                     bool telescopicValueDates)
+    : Swap(2), type_(type), nominal_(nominal), indexFraction_(indexFraction),
+      indexSpread_(indexSpread), bmaIndex_(bmaIndex), index_(index),
+      indexPaymentCalendar_(indexPaymentCalendar), indexPaymentConvention_(indexPaymentConvention),
+      indexPaymentLag_(indexPaymentLag), bmaPaymentCalendar_(bmaPaymentCalendar),
+      bmaPaymentConvention_(bmaPaymentConvention), bmaPaymentLag_(bmaPaymentLag),
+      overnightLockoutDays_(overnightLockoutDays), telescopicValueDates_(telescopicValueDates) {
+
+        auto ois = QuantLib::ext::dynamic_pointer_cast<OvernightIndex>(index);
+
+        Calendar effectiveIndexPaymentCalendar =
+            indexPaymentCalendar_.empty() ?
+                (indexSchedule.calendar().empty() ? NullCalendar() : indexSchedule.calendar()) :
+                indexPaymentCalendar_;
+        Calendar effectiveBmaPaymentCalendar =
+            bmaPaymentCalendar_.empty() ?
+                (bmaSchedule.calendar().empty() ? NullCalendar() : bmaSchedule.calendar()) :
+                bmaPaymentCalendar_;
+
+        if (ois) {
+            legs_[0] = OvernightLeg(std::move(indexSchedule), ois)
+                           .withNotionals(nominal)
+                           .withPaymentDayCounter(indexDayCount)
+                           .withPaymentAdjustment(indexPaymentConvention_)
+                           .withPaymentLag(indexPaymentLag_)
+                           .withPaymentCalendar(effectiveIndexPaymentCalendar)
+                           .withTelescopicValueDates(telescopicValueDates_)
+                           .withGearings(indexFraction)
+                           .withSpreads(indexSpread)
+                           .withLockoutDays(overnightLockoutDays_);
+
+        } else {
+            legs_[0] = IborLeg(std::move(indexSchedule), index)
+                           .withNotionals(nominal)
+                           .withPaymentDayCounter(indexDayCount)
+                           .withPaymentAdjustment(indexPaymentConvention_)
+                           .withPaymentLag(indexPaymentLag_)
+                           .withPaymentCalendar(effectiveIndexPaymentCalendar)
+                           .withFixingDays(index->fixingDays())
+                           .withGearings(indexFraction)
+                           .withSpreads(indexSpread);
+        }
 
-        auto bmaConvention = bmaSchedule.businessDayConvention();
 
         legs_[1] = AverageBMALeg(std::move(bmaSchedule), bmaIndex)
-            .withNotionals(nominal)
-            .withPaymentDayCounter(bmaDayCount)
-            .withPaymentAdjustment(bmaConvention);
+                       .withNotionals(nominal)
+                       .withPaymentDayCounter(bmaDayCount)
+                       .withPaymentAdjustment(bmaPaymentConvention_)
+                       .withPaymentLag(bmaPaymentLag_)
+                       .withPaymentCalendar(effectiveBmaPaymentCalendar);
 
-        for (Size j=0; j<2; ++j) {
+        for (Size j = 0; j < 2; ++j) {
             for (auto& i : legs_[j])
                 registerWith(i);
         }
 
         switch (type_) {
-          case Payer:
-            payer_[0] = +1.0;
-            payer_[1] = -1.0;
-            break;
-          case Receiver:
-            payer_[0] = -1.0;
-            payer_[1] = +1.0;
-            break;
-          default:
-            QL_FAIL("Unknown BMA-swap type");
+            case Payer:
+                payer_[0] = +1.0;
+                payer_[1] = -1.0;
+                break;
+            case Receiver:
+                payer_[0] = -1.0;
+                payer_[1] = +1.0;
+                break;
+            default:
+                QL_FAIL("Unknown BMA-swap type");
         }
     }
 
-    Real BMASwap::liborFraction() const {
-        return liborFraction_;
+    Real BMASwap::indexFraction() const {
+        return indexFraction_;
     }
 
-    Spread BMASwap::liborSpread() const {
-        return liborSpread_;
+    Spread BMASwap::indexSpread() const {
+        return indexSpread_;
     }
 
     Real BMASwap::nominal() const {
@@ -92,7 +132,7 @@ namespace QuantLib {
         return type_;
     }
 
-    const Leg& BMASwap::liborLeg() const {
+    const Leg& BMASwap::indexLeg() const {
         return legs_[0];
     }
 
@@ -101,32 +141,31 @@ namespace QuantLib {
     }
 
 
-    Real BMASwap::liborLegBPS() const {
+    Real BMASwap::indexLegBPS() const {
         calculate();
         QL_REQUIRE(legBPS_[0] != Null<Real>(), "result not available");
         return legBPS_[0];
     }
 
-    Real BMASwap::liborLegNPV() const {
+    Real BMASwap::indexLegNPV() const {
         calculate();
         QL_REQUIRE(legNPV_[0] != Null<Real>(), "result not available");
         return legNPV_[0];
     }
 
-    Real BMASwap::fairLiborFraction() const {
+    Real BMASwap::fairIndexFraction() const {
         static Spread basisPoint = 1.0e-4;
 
-        Real spreadNPV = (liborSpread_/basisPoint)*liborLegBPS();
-        Real pureLiborNPV = liborLegNPV() - spreadNPV;
-        QL_REQUIRE(pureLiborNPV != 0.0,
-                   "result not available (null libor NPV)");
-        return -liborFraction_ * (bmaLegNPV() + spreadNPV) / pureLiborNPV;
+        Real spreadNPV = (indexSpread_ / basisPoint) * indexLegBPS();
+        Real pureIndexNPV = indexLegNPV() - spreadNPV;
+        QL_REQUIRE(pureIndexNPV != 0.0, "result not available (null index NPV)");
+        return -indexFraction_ * (bmaLegNPV() + spreadNPV) / pureIndexNPV;
     }
 
-    Spread BMASwap::fairLiborSpread() const {
+    Spread BMASwap::fairIndexSpread() const {
         static Spread basisPoint = 1.0e-4;
 
-        return liborSpread_ - NPV()/(liborLegBPS()/basisPoint);
+        return indexSpread_ - NPV() / (indexLegBPS() / basisPoint);
     }
 
     Real BMASwap::bmaLegBPS() const {
diff --git a/ql/instruments/bmaswap.hpp b/ql/instruments/bmaswap.hpp
index 6397f07fc16..70956563db1 100644
--- ql/instruments/bmaswap.hpp
+++ ql/instruments/bmaswap.hpp
@@ -39,34 +39,46 @@ namespace QuantLib {
         */
         BMASwap(Type type,
                 Real nominal,
-                // Libor leg
-                Schedule liborSchedule,
-                Rate liborFraction,
-                Rate liborSpread,
-                const ext::shared_ptr<IborIndex>& liborIndex,
-                const DayCounter& liborDayCount,
+                // index leg
+                Schedule indexSchedule,
+                Rate indexFraction,
+                Rate indexSpread,
+                const ext::shared_ptr<IborIndex>& index,
+                const DayCounter& indexDayCount,
                 // BMA leg
                 Schedule bmaSchedule,
                 const ext::shared_ptr<BMAIndex>& bmaIndex,
-                const DayCounter& bmaDayCount);
+                const DayCounter& bmaDayCount,
+                // Payment adjustments
+                Calendar indexPaymentCalendar = Calendar(),
+                BusinessDayConvention indexPaymentConvention = Following,
+                Natural indexPaymentLag = 0,
+                Calendar bmaPaymentCalendar = Calendar(),
+                BusinessDayConvention bmaPaymentConvention = Following,
+                Natural bmaPaymentLag = 0,
+                // overnight conventions
+                Natural overnightLoackoutDays = 0,
+                bool telescopicValueDates = false);
 
         //! \name Inspectors
         //@{
-        Real liborFraction() const;
-        Spread liborSpread() const;
+        Real indexFraction() const;
+        Spread indexSpread() const;
         Real nominal() const;
         //! "Payer" or "Receiver" refers to the BMA leg
         Type type() const;
         const Leg& bmaLeg() const;
-        const Leg& liborLeg() const;
+        const Leg& indexLeg() const;
+        const ext::shared_ptr<BMAIndex>& bmaIndex() const { return bmaIndex_; }
+        const ext::shared_ptr<IborIndex>& index() const { return index_; }
         //@}
 
         //! \name Results
         //@{
-        Real liborLegBPS() const;
-        Real liborLegNPV() const;
-        Rate fairLiborFraction() const;
-        Spread fairLiborSpread() const;
+        Real indexLegBPS() const;
+        Real indexLegNPV() const;
+        Rate fairIndexFraction() const;
+        Spread fairIndexSpread() const;
 
         Real bmaLegBPS() const;
         Real bmaLegNPV() const;
@@ -75,8 +87,18 @@ namespace QuantLib {
       private:
         Type type_;
         Real nominal_;
-        Rate liborFraction_;
-        Rate liborSpread_;
+        Rate indexFraction_;
+        Rate indexSpread_;
+        QuantLib::ext::shared_ptr<BMAIndex> bmaIndex_;
+        QuantLib::ext::shared_ptr<IborIndex> index_;
+        Calendar indexPaymentCalendar_;
+        BusinessDayConvention indexPaymentConvention_;
+        Natural indexPaymentLag_;
+        Calendar bmaPaymentCalendar_;
+        BusinessDayConvention bmaPaymentConvention_;
+        Natural bmaPaymentLag_;
+        Natural overnightLockoutDays_;
+        bool telescopicValueDates_;
     };
 
 }
diff --git a/ql/instruments/bond.cpp b/ql/instruments/bond.cpp
index 5a7349872b9..7b442426394 100644
--- ql/instruments/bond.cpp
+++ ql/instruments/bond.cpp
@@ -353,6 +353,15 @@ namespace QuantLib {
         redemptions_.push_back(redemption);
     }
 
+    void Bond::alwaysForwardNotifications() {
+        for (auto& cashflow : cashflows_) {
+            if(auto lazy = ext::dynamic_pointer_cast<LazyObject>(cashflow)) {
+                lazy->alwaysForwardNotifications();
+            }
+        }
+        LazyObject::alwaysForwardNotifications();
+    }
+
     void Bond::deepUpdate() {
         for (auto& cashflow : cashflows_) {
             cashflow->deepUpdate();
diff --git a/ql/instruments/bond.hpp b/ql/instruments/bond.hpp
index 2f5ec1250bf..fadc6ca8253 100644
--- ql/instruments/bond.hpp
+++ ql/instruments/bond.hpp
@@ -105,6 +105,10 @@ namespace QuantLib {
         //@{
         bool isExpired() const override;
         //@}
+        //! \name LazyObject interface
+        //@{
+        void alwaysForwardNotifications() override;
+        //@}
         //! \name Observable interface
         //@{
         void deepUpdate() override;
diff --git a/ql/instruments/callabilityschedule.hpp b/ql/instruments/callabilityschedule.hpp
index 179fc619f6d..6bf98275493 100644
--- ql/instruments/callabilityschedule.hpp
+++ ql/instruments/callabilityschedule.hpp
@@ -27,25 +27,56 @@
 
 #include <ql/event.hpp>
 #include <ql/instruments/bond.hpp>
+#include <ql/interestrate.hpp>
 #include <ql/patterns/visitor.hpp>
 #include <ql/utilities/null.hpp>
 #include <ql/shared_ptr.hpp>
 #include <ql/optional.hpp>
+#include <boost/variant.hpp>
 #include <vector>
 
 namespace QuantLib {
 
+    struct BondPriceGetter : boost::static_visitor<const Bond::Price&> {
+        BondPriceGetter() {}
+        const Bond::Price& operator()(const Bond::Price& p) const { return p; }
+        const Bond::Price& operator()(const InterestRate& p) const { 
+            QL_FAIL("Must be a Bond::Price");
+        }
+    };
+
+    struct InterestRateGetter : boost::static_visitor<const InterestRate&> {
+        InterestRateGetter() {}
+        const InterestRate& operator()(const Bond::Price& p) const { QL_FAIL("Must be a Bond::Price"); }
+        const InterestRate& operator()(const InterestRate& p) const { return p; }
+    };
+
     //! %instrument callability
     class Callability : public Event {
       public:
         //! type of the callability
         enum Type { Call, Put };
 
+        Callability(boost::variant<Bond::Price, InterestRate> variable, Type type, const Date& date)
+        : variable_(variable), type_(type), date_(date) {}
+
         Callability(const Bond::Price& price, Type type, const Date& date)
-        : price_(price), type_(type), date_(date) {}
+        : variable_(price), type_(type), date_(date) {}
+
+        Callability(const InterestRate& yield, Type type, const Date& date)
+        : variable_(yield), type_(type), date_(date) {}
+
         const Bond::Price& price() const {
-            QL_REQUIRE(price_, "no price given");
-            return *price_;
+            QL_REQUIRE(variable_, "no bond price given");
+            return boost::apply_visitor(BondPriceGetter(), *variable_);
+        }
+        const InterestRate& yield() const {
+            QL_REQUIRE(variable_, "no yield given");
+            return boost::apply_visitor(InterestRateGetter(), *variable_);
+        }
+        const bool isBondPrice() const { 
+            QL_REQUIRE(variable_, "no bond price or yield given");
+            return (*variable_).which() == 0;
         }
         Type type() const { return type_; }
         //! \name Event interface
@@ -57,6 +88,8 @@ namespace QuantLib {
         void accept(AcyclicVisitor&) override;
         //@}
       private:
+        QuantLib::ext::optional<boost::variant<Bond::Price, InterestRate>> variable_;
+        // QuantLib-v1.30:
         ext::optional<Bond::Price> price_;
         Type type_;
         Date date_;
diff --git a/ql/instruments/compositeinstrument.cpp b/ql/instruments/compositeinstrument.cpp
index 93e25176e9a..e51ec8e04fa 100644
--- ql/instruments/compositeinstrument.cpp
+++ ql/instruments/compositeinstrument.cpp
@@ -18,6 +18,7 @@
 */
 
 #include <ql/instruments/compositeinstrument.hpp>
+#include <sstream>
 
 namespace QuantLib {
 
@@ -55,6 +56,7 @@ namespace QuantLib {
         for (const auto& component : components_) {
             NPV_ += component.second * component.first->NPV();
         }
+        updateAdditionalResults();
     }
 
     void CompositeInstrument::deepUpdate() {
@@ -64,5 +66,31 @@ namespace QuantLib {
         update();
     }
 
+    void CompositeInstrument::updateAdditionalResults() const {
+
+        using std::string;
+        typedef std::map<string, ext::any> Results;
+        typedef Results::const_iterator RIt;
+
+        // Loop over each component's additional results and add them to additionalResults_.
+        additionalResults_.clear();
+        for (const_iterator i = components_.begin(); i != components_.end(); ++i) {
+
+            // Keep track of component's index. Prepend it to additional results.
+            Size cmpIdx = std::distance(components_.begin(), i) + 1;
+            std::stringstream ss;
+            ss << cmpIdx << "_";
+            string prefix = ss.str();
+
+            // Update the additionalResults_.
+            const Results& cmpResults = i->first->additionalResults();
+            for (RIt it = cmpResults.begin(); it != cmpResults.end(); ++it) {
+                additionalResults_[prefix + it->first] = it->second;
+            }
+            additionalResults_[prefix + "multiplier"] = i->second;
+            additionalResults_[prefix + "npv"] = i->first->NPV();
+        }
+    }
+
 }
 
diff --git a/ql/instruments/compositeinstrument.hpp b/ql/instruments/compositeinstrument.hpp
index c22bcf7e3d4..ef80fd24db1 100644
--- ql/instruments/compositeinstrument.hpp
+++ ql/instruments/compositeinstrument.hpp
@@ -65,6 +65,8 @@ namespace QuantLib {
         //@}
       private:
         std::list<component> components_;
+        //! Store the additional results from the underlying components.
+        void updateAdditionalResults() const;
     };
 
 }
diff --git a/ql/instruments/cpicapfloor.cpp b/ql/instruments/cpicapfloor.cpp
index 619ca5b5805..f9df280e9b1 100644
--- ql/instruments/cpicapfloor.cpp
+++ ql/instruments/cpicapfloor.cpp
@@ -67,6 +67,7 @@ namespace QuantLib {
                        <<"when the observation is effectively linear"
                        << observationLag_ << " vs " << index_->availabilityLag());
         }
+        registerWith(index_);
     }
 
 
diff --git a/ql/instruments/creditdefaultswap.cpp b/ql/instruments/creditdefaultswap.cpp
index eb226728336..2365be2ee69 100644
--- ql/instruments/creditdefaultswap.cpp
+++ ql/instruments/creditdefaultswap.cpp
@@ -19,16 +19,18 @@
  FOR A PARTICULAR PURPOSE.  See the license for more details.
 */
 
+#include <ql/instruments/creditdefaultswap.hpp>
+#include <ql/instruments/claim.hpp>
+#include <ql/cashflows/cashflows.hpp>
 #include <ql/cashflows/fixedratecoupon.hpp>
 #include <ql/cashflows/simplecashflow.hpp>
-#include <ql/instruments/claim.hpp>
-#include <ql/instruments/creditdefaultswap.hpp>
-#include <ql/math/solvers1d/brent.hpp>
-#include <ql/pricingengines/credit/isdacdsengine.hpp>
+#include <ql/termstructures/yieldtermstructure.hpp>
+#include <ql/termstructures/credit/flathazardrate.hpp>
+#include <ql/time/daycounters/actual360.hpp>
 #include <ql/pricingengines/credit/midpointcdsengine.hpp>
+#include <ql/pricingengines/credit/isdacdsengine.hpp>
 #include <ql/quotes/simplequote.hpp>
-#include <ql/termstructures/credit/flathazardrate.hpp>
-#include <ql/termstructures/yieldtermstructure.hpp>
+#include <ql/math/solvers1d/brent.hpp>
 #include <ql/time/calendars/weekendsonly.hpp>
 #include <ql/time/schedule.hpp>
 #include <ql/optional.hpp>
@@ -45,18 +47,21 @@ namespace QuantLib {
                                          bool settlesAccrual,
                                          bool paysAtDefaultTime,
                                          const Date& protectionStart,
-                                         ext::shared_ptr<Claim> claim,
+                                         const ext::shared_ptr<Claim>& claim,
                                          const DayCounter& lastPeriodDayCounter,
-                                         const bool rebatesAccrual,
+                                         bool rebatesAccrual,
                                          const Date& tradeDate,
                                          Natural cashSettlementDays)
     : side_(side), notional_(notional), upfront_(ext::nullopt), runningSpread_(spread),
-      settlesAccrual_(settlesAccrual), paysAtDefaultTime_(paysAtDefaultTime),
-      claim_(std::move(claim)),
+      schedule_(schedule), paymentConvention_(convention), settlesAccrual_(settlesAccrual),
+      paysAtDefaultTime_(paysAtDefaultTime),
+      protectionPaymentTime_(settlesAccrual ? atDefault : atPeriodEnd), claim_(std::move(claim)),
       protectionStart_(protectionStart == Date() ? schedule[0] : protectionStart),
-      tradeDate_(tradeDate), cashSettlementDays_(cashSettlementDays) {
+      tradeDate_(tradeDate), cashSettlementDays_(cashSettlementDays),
+      rebatesAccrual_(rebatesAccrual), dayCounter_(dayCounter),
+      lastPeriodDayCounter_(lastPeriodDayCounter){
 
-        init(schedule, convention, dayCounter, lastPeriodDayCounter, rebatesAccrual);
+        init();
     }
 
     CreditDefaultSwap::CreditDefaultSwap(Protection::Side side,
@@ -70,111 +75,212 @@ namespace QuantLib {
                                          bool paysAtDefaultTime,
                                          const Date& protectionStart,
                                          const Date& upfrontDate,
-                                         ext::shared_ptr<Claim> claim,
+                                         const ext::shared_ptr<Claim>& claim,
                                          const DayCounter& lastPeriodDayCounter,
-                                         const bool rebatesAccrual,
+                                         bool rebatesAccrual,
                                          const Date& tradeDate,
                                          Natural cashSettlementDays)
     : side_(side), notional_(notional), upfront_(upfront), runningSpread_(runningSpread),
-      settlesAccrual_(settlesAccrual), paysAtDefaultTime_(paysAtDefaultTime),
-      claim_(std::move(claim)),
+      schedule_(schedule), paymentConvention_(convention), settlesAccrual_(settlesAccrual),
+      paysAtDefaultTime_(paysAtDefaultTime),
+      protectionPaymentTime_(settlesAccrual ? atDefault : atPeriodEnd), claim_(claim),
       protectionStart_(protectionStart == Date() ? schedule[0] : protectionStart),
-      tradeDate_(tradeDate), cashSettlementDays_(cashSettlementDays) {
+      tradeDate_(tradeDate), cashSettlementDays_(cashSettlementDays),
+      rebatesAccrual_(rebatesAccrual), dayCounter_(dayCounter),
+      lastPeriodDayCounter_(lastPeriodDayCounter){
 
-        init(schedule, convention, dayCounter, lastPeriodDayCounter, rebatesAccrual, upfrontDate);
+        init(upfrontDate);
     }
 
-    void CreditDefaultSwap::init(const Schedule& schedule, BusinessDayConvention paymentConvention,
-                                 const DayCounter& dayCounter, const DayCounter& lastPeriodDayCounter,
-                                 bool rebatesAccrual, const Date& upfrontDate) {
+    CreditDefaultSwap::CreditDefaultSwap(Protection::Side side,
+                                         Real notional,
+                                         Rate spread,
+                                         const Schedule& schedule,
+                                         BusinessDayConvention convention,
+                                         const DayCounter& dayCounter,
+                                         bool settlesAccrual,
+                                         ProtectionPaymentTime protectionPaymentTime,
+                                         const Date& protectionStart,
+                                         const ext::shared_ptr<Claim>& claim,
+                                         const DayCounter& lastPeriodDayCounter,
+                                         bool rebatesAccrual,
+                                         const Date& tradeDate,
+                                         Natural cashSettlementDays)
+    : side_(side), notional_(notional), upfront_(ext::nullopt), runningSpread_(spread),
+      schedule_(schedule), paymentConvention_(convention), settlesAccrual_(settlesAccrual),
+      paysAtDefaultTime_(protectionPaymentTime == atDefault ? true : false),
+      protectionPaymentTime_(protectionPaymentTime), claim_(claim),
+      protectionStart_(protectionStart == Date() ? schedule[0] : protectionStart),
+      tradeDate_(tradeDate), cashSettlementDays_(cashSettlementDays),
+      rebatesAccrual_(rebatesAccrual),dayCounter_(dayCounter),
+      lastPeriodDayCounter_(lastPeriodDayCounter) {
 
-        QL_REQUIRE(!schedule.empty(), "CreditDefaultSwap needs a non-empty schedule.");
+        init();
+    }
 
-        bool postBigBang = false;
-        if (schedule.hasRule()) {
-            DateGeneration::Rule rule = schedule.rule();
-            postBigBang = rule == DateGeneration::CDS || rule == DateGeneration::CDS2015;
-        }
+    CreditDefaultSwap::CreditDefaultSwap(Protection::Side side,
+                                         Real notional,
+                                         Rate upfront,
+                                         Rate runningSpread,
+                                         const Schedule& schedule,
+                                         BusinessDayConvention convention,
+                                         const DayCounter& dayCounter,
+                                         bool settlesAccrual,
+                                         ProtectionPaymentTime protectionPaymentTime,
+                                         const Date& protectionStart,
+                                         const Date& upfrontDate,
+                                         const ext::shared_ptr<Claim>& claim,
+                                         const DayCounter& lastPeriodDayCounter,
+                                         bool rebatesAccrual,
+                                         const Date& tradeDate,
+                                         Natural cashSettlementDays)
+    : side_(side), notional_(notional), upfront_(upfront), runningSpread_(runningSpread),
+      schedule_(schedule), paymentConvention_(convention), settlesAccrual_(settlesAccrual),
+      paysAtDefaultTime_(protectionPaymentTime == atDefault ? true : false),
+      protectionPaymentTime_(protectionPaymentTime), claim_(claim),
+      protectionStart_(protectionStart == Date() ? schedule[0] : protectionStart),
+      tradeDate_(tradeDate), cashSettlementDays_(cashSettlementDays),
+      rebatesAccrual_(rebatesAccrual),dayCounter_(dayCounter),
+      lastPeriodDayCounter_(lastPeriodDayCounter) {
 
-        if (!postBigBang) {
-            QL_REQUIRE(protectionStart_ <= schedule[0], "protection can not start after accrual");
-        }
+        init(upfrontDate);
+    }
+
+    CreditDefaultSwap::CreditDefaultSwap(Protection::Side side,
+                                         Real notional,
+                                         const Leg& amortized_leg,
+                                         Rate spread,
+                                         const Schedule& schedule,
+                                         BusinessDayConvention convention,
+                                         const DayCounter& dayCounter,
+                                         bool settlesAccrual,
+                                         ProtectionPaymentTime protectionPaymentTime,
+                                         const Date& protectionStart,
+                                         const ext::shared_ptr<Claim>& claim,
+                                         const DayCounter& lastPeriodDayCounter,
+                                         bool rebatesAccrual,
+                                         const Date& tradeDate,
+                                         Natural cashSettlementDays)
+    : side_(side), notional_(notional), upfront_(ext::nullopt), runningSpread_(spread),
+      schedule_(schedule), paymentConvention_(convention), settlesAccrual_(settlesAccrual),
+      paysAtDefaultTime_(protectionPaymentTime == atDefault ? true : false),
+      protectionPaymentTime_(protectionPaymentTime), claim_(claim), leg_(amortized_leg),
+      protectionStart_(protectionStart == Date() ? schedule[0] : protectionStart),
+      tradeDate_(tradeDate), cashSettlementDays_(cashSettlementDays),
+      rebatesAccrual_(rebatesAccrual), dayCounter_(dayCounter),
+      lastPeriodDayCounter_(lastPeriodDayCounter) {
+
+        init();
+    }
+
+    CreditDefaultSwap::CreditDefaultSwap(Protection::Side side, Real notional, const Leg& amortized_leg, Rate upfront,
+                                         Rate runningSpread, const Schedule& schedule, BusinessDayConvention convention,
+                                         const DayCounter& dayCounter, bool settlesAccrual,
+                                         ProtectionPaymentTime protectionPaymentTime, const Date& protectionStart,
+                                         const Date& upfrontDate, const ext::shared_ptr<Claim>& claim,
+                                         const DayCounter& lastPeriodDayCounter, bool rebatesAccrual,
+                                         const Date& tradeDate, Natural cashSettlementDays)
+        : side_(side), notional_(notional), upfront_(upfront), runningSpread_(runningSpread), schedule_(schedule),
+          paymentConvention_(convention), settlesAccrual_(settlesAccrual),
+          paysAtDefaultTime_(protectionPaymentTime == atDefault ? true : false),
+          protectionPaymentTime_(protectionPaymentTime), claim_(claim), leg_(amortized_leg),
+          protectionStart_(protectionStart == Date() ? schedule[0] : protectionStart), tradeDate_(tradeDate),
+          cashSettlementDays_(cashSettlementDays), rebatesAccrual_(rebatesAccrual),
+          dayCounter_(dayCounter), lastPeriodDayCounter_(lastPeriodDayCounter){
+
+        init(upfrontDate);
+    }
 
-        leg_ = FixedRateLeg(schedule)
-            .withNotionals(notional_)
-            .withCouponRates(runningSpread_, dayCounter)
-            .withPaymentAdjustment(paymentConvention)
-            .withLastPeriodDayCounter(lastPeriodDayCounter);
+    void CreditDefaultSwap::init(const Date& upfrontDate) {
 
+        QL_REQUIRE(!schedule_.empty(), "CreditDefaultSwap needs a non-empty schedule.");
+
+        postBigBang_ = false;
+        if (schedule_.hasRule()) {
+            DateGeneration::Rule rule = schedule_.rule();
+            postBigBang_ = rule == DateGeneration::CDS || rule == DateGeneration::CDS2015;
+        }
+        
+        if (!postBigBang_) {
+            QL_REQUIRE(protectionStart_ <= schedule_[0], "CreditDefaultSwap: protection can not start after accrual");
+        }
+        
+
+        // For CDS, the standard day counter is Actual/360 and the final period coupon accrual includes the maturity date.
+        // If the main day counter is Act/360 and no lastPeriodDayCounter_ is given, default to Act/360 including last.
+        effectiveLastPeriodDayCounter_ =
+            lastPeriodDayCounter_.empty() ?
+                (dayCounter_ == Actual360() ? Actual360(true) : dayCounter_) :
+                lastPeriodDayCounter_;
+
+        // If the leg_ has not already been populated via amortised leg ctor, populate it.
+        if (leg_.empty()) {
+            leg_ = FixedRateLeg(schedule_)
+                .withNotionals(notional_)
+                .withCouponRates(runningSpread_, dayCounter_)
+                .withPaymentAdjustment(paymentConvention_)
+                .withLastPeriodDayCounter(effectiveLastPeriodDayCounter_);
+        }
+        
         // Deduce the trade date if not given.
         if (tradeDate_ == Date()) {
-            if (postBigBang) {
+            if (postBigBang_) {
                 tradeDate_ = protectionStart_;
             } else {
                 tradeDate_ = protectionStart_ - 1;
             }
         }
-
+        
         // Deduce the cash settlement date if not given.
-        Date effectiveUpfrontDate = upfrontDate;
-        if (effectiveUpfrontDate == Date()) {
-            effectiveUpfrontDate = schedule.calendar().advance(tradeDate_,
-                cashSettlementDays_, Days, paymentConvention);
+        effectiveUpfrontDate_ = upfrontDate;
+        if (effectiveUpfrontDate_ == Date()) {
+            effectiveUpfrontDate_ = schedule_.calendar().advance(tradeDate_, cashSettlementDays_,
+                                                                 Days, paymentConvention_);
         }
-        QL_REQUIRE(effectiveUpfrontDate >= protectionStart_,
+        QL_REQUIRE(effectiveUpfrontDate_ >= protectionStart_,
                    "The cash settlement date must not be before the protection start date.");
 
         // Create the upfront payment, if one is provided.
         Real upfrontAmount = 0.0;
-        if (upfront_) // NOLINT(readability-implicit-bool-conversion)
+        if (upfront_)
             upfrontAmount = *upfront_ * notional_;
-        upfrontPayment_ = ext::make_shared<SimpleCashFlow>(upfrontAmount, effectiveUpfrontDate);
+        upfrontPayment_ = ext::make_shared<SimpleCashFlow>(upfrontAmount, effectiveUpfrontDate_);
 
         // Set the maturity date.
-        maturity_ = schedule.dates().back();
-
-        // Deal with the accrual rebate. We use the standard conventions for accrual calculation introduced with the 
-        // CDS Big Bang in 2009.
-        if (rebatesAccrual) {
-
-            Real rebateAmount = 0.0;
-            Date refDate = tradeDate_ + 1;
-
-            if (tradeDate_ >= schedule.dates().front()) {
-                for (Size i = 0; i < leg_.size(); ++i) {
-                    const ext::shared_ptr<CashFlow>& cf = leg_[i];
-                    if (refDate > cf->date()) {
-                        // This coupon is in the past; check the next one
-                        continue;
-                    } else if (refDate == cf->date()) {
-                        // This coupon pays at the reference date.
-                        // If it's not the last coupon, the accrual is 0 so do nothing.
-                        if (i < leg_.size() - 1)
-                            rebateAmount = 0.0;
-                        else {
-                            // On last coupon
-                            ext::shared_ptr<FixedRateCoupon> frc = ext::dynamic_pointer_cast<FixedRateCoupon>(cf);
-                            rebateAmount = frc->amount();
-                        }
-                        break;
-                    } else {
-                        // This coupon pays in the future, and is the first coupon to do so (since they're sorted).
-                        // Calculate the accrual and skip further coupons
-                        ext::shared_ptr<FixedRateCoupon> frc = ext::dynamic_pointer_cast<FixedRateCoupon>(cf);
-                        rebateAmount = frc->accruedAmount(refDate);
-                        break;
-                    }
-                }
-            }
-
-            accrualRebate_ = ext::make_shared<SimpleCashFlow>(rebateAmount, effectiveUpfrontDate);
-        }
-
+        maturity_ = schedule_.dates().back();
+        
         if (!claim_)
             claim_ = ext::make_shared<FaceValueClaim>();
         registerWith(claim_);
     }
 
+    void CreditDefaultSwap::performCalculations() const {
+        // Deal with the accrual rebate. We use the standard conventions for accrual calculation introduced with the
+        // CDS Big Bang in 2009
+        auto calculateAccrualDate =[](const Date& d, const Leg& leg, const DayCounter& dayCounter, const DayCounter& lastPeriodDayCounter)->Date {
+            Date nextPaymentDate = CashFlows::nextCashFlowDate(leg, true, d);
+            Date accrualDate = d + (dayCounter.includeLastDay() ? 0 : 1);
+            if (nextPaymentDate == leg.back()->date()) {
+                accrualDate = d + (lastPeriodDayCounter.includeLastDay() ? 0 : 1);
+            }
+            return accrualDate;
+        };
+        if (rebatesAccrual_ && postBigBang_) {
+            Date accrualDate =
+                calculateAccrualDate(tradeDate_, leg_, dayCounter_, effectiveLastPeriodDayCounter_);
+            accrualRebate_ = ext::make_shared<SimpleCashFlow>(
+                CashFlows::accruedAmount(leg_, tradeDate_ + 1 == leg_.back()->date(), accrualDate),
+                effectiveUpfrontDate_);
+            Date current = std::max((Date)Settings::instance().evaluationDate(), tradeDate_);
+            Date currentAccrualDate = calculateAccrualDate(current, leg_, dayCounter_, effectiveLastPeriodDayCounter_);
+            accrualRebateCurrent_ = ext::make_shared<SimpleCashFlow>(
+                CashFlows::accruedAmount(leg_, true, currentAccrualDate),
+                schedule_.calendar().advance(current, cashSettlementDays_, Days,
+                                             paymentConvention_));
+        }
+        Instrument::performCalculations();
+    }
+
     Protection::Side CreditDefaultSwap::side() const {
         return side_;
     }
@@ -199,13 +305,18 @@ namespace QuantLib {
         return paysAtDefaultTime_;
     }
 
+    CreditDefaultSwap::ProtectionPaymentTime CreditDefaultSwap::protectionPaymentTime() const {
+        return protectionPaymentTime_;
+    }
+
     const Leg& CreditDefaultSwap::coupons() const {
         return leg_;
     }
 
 
     bool CreditDefaultSwap::isExpired() const {
-        for (auto i = leg_.rbegin(); i != leg_.rend(); ++i) {
+        for (Leg::const_reverse_iterator i = leg_.rbegin();
+                                         i != leg_.rend(); ++i) {
             if (!(*i)->hasOccurred())
                 return false;
         }
@@ -214,23 +325,26 @@ namespace QuantLib {
 
     void CreditDefaultSwap::setupExpired() const {
         Instrument::setupExpired();
-        fairSpread_ = fairUpfront_ = 0.0;
+        fairSpread_ = fairSpreadClean_ = fairSpreadDirty_ = fairUpfront_ = 0.0;
         couponLegBPS_ = upfrontBPS_ = 0.0;
         couponLegNPV_ = defaultLegNPV_ = upfrontNPV_ = 0.0;
     }
 
     void CreditDefaultSwap::setupArguments(
                                        PricingEngine::arguments* args) const {
-        auto* arguments = dynamic_cast<CreditDefaultSwap::arguments*>(args);
-        QL_REQUIRE(arguments != nullptr, "wrong argument type");
+        CreditDefaultSwap::arguments* arguments =
+            dynamic_cast<CreditDefaultSwap::arguments*>(args);
+        QL_REQUIRE(arguments != 0, "wrong argument type");
 
         arguments->side = side_;
         arguments->notional = notional_;
         arguments->leg = leg_;
         arguments->upfrontPayment = upfrontPayment_;
         arguments->accrualRebate = accrualRebate_;
+        arguments->accrualRebateCurrent = accrualRebateCurrent_;
         arguments->settlesAccrual = settlesAccrual_;
         arguments->paysAtDefaultTime = paysAtDefaultTime_;
+        arguments->protectionPaymentTime = protectionPaymentTime_;
         arguments->claim = claim_;
         arguments->upfront = upfront_;
         arguments->spread = runningSpread_;
@@ -243,10 +357,13 @@ namespace QuantLib {
                                       const PricingEngine::results* r) const {
         Instrument::fetchResults(r);
 
-        const auto* results = dynamic_cast<const CreditDefaultSwap::results*>(r);
-        QL_REQUIRE(results != nullptr, "wrong result type");
+        const CreditDefaultSwap::results* results =
+            dynamic_cast<const CreditDefaultSwap::results*>(r);
+        QL_REQUIRE(results != 0, "wrong result type");
 
         fairSpread_ = results->fairSpread;
+        fairSpreadDirty_ = results->fairSpreadDirty;
+        fairSpreadClean_ = results->fairSpreadClean;
         fairUpfront_ = results->fairUpfront;
         couponLegBPS_ = results->couponLegBPS;
         couponLegNPV_ = results->couponLegNPV;
@@ -254,6 +371,7 @@ namespace QuantLib {
         upfrontNPV_ = results->upfrontNPV;
         upfrontBPS_ = results->upfrontBPS;
         accrualRebateNPV_ = results->accrualRebateNPV;
+        accrualRebateNPVCurrent_ = results->accrualRebateNPVCurrent;
     }
 
     Rate CreditDefaultSwap::fairUpfront() const {
@@ -263,10 +381,21 @@ namespace QuantLib {
         return fairUpfront_;
     }
 
+    Rate CreditDefaultSwap::fairSpreadDirty() const {
+        calculate();
+        QL_REQUIRE(fairSpreadDirty_ != Null<Rate>(), "fair spread (dirtry) not available");
+        return fairSpreadDirty_;
+    }
+
+    Rate CreditDefaultSwap::fairSpreadClean() const {
+        calculate();
+        QL_REQUIRE(fairSpreadClean_ != Null<Rate>(), "fair spread (clean) not available");
+        return fairSpreadClean_;
+    }
+
     Rate CreditDefaultSwap::fairSpread() const {
         calculate();
-        QL_REQUIRE(fairSpread_ != Null<Rate>(),
-                   "fair spread not available");
+        QL_REQUIRE(fairSpread_ != Null<Rate>(), "fair spread not available");
         return fairSpread_;
     }
 
@@ -337,30 +466,18 @@ namespace QuantLib {
 
     }
 
-    Rate CreditDefaultSwap::impliedHazardRate(
-                               Real targetNPV,
-                               const Handle<YieldTermStructure>& discountCurve,
-                               const DayCounter& dayCounter,
-                               Real recoveryRate,
-                               Real accuracy,
+    ext::shared_ptr<PricingEngine> CreditDefaultSwap::buildPricingEngine(
+                               const Handle<DefaultProbabilityTermStructure>& p,
+                               Real r, const Handle<YieldTermStructure>& d,
                                PricingModel model) const {
-
-        ext::shared_ptr<SimpleQuote> flatRate = ext::make_shared<SimpleQuote>(0.0);
-
-        Handle<DefaultProbabilityTermStructure> probability =
-            Handle<DefaultProbabilityTermStructure>(
-                ext::make_shared<FlatHazardRate>(0, WeekendsOnly(),
-                                                   Handle<Quote>(flatRate), dayCounter));
-
         ext::shared_ptr<PricingEngine> engine;
         switch (model) {
           case Midpoint:
-            engine = ext::make_shared<MidPointCdsEngine>(
-                probability, recoveryRate, discountCurve);
+            engine = ext::make_shared<MidPointCdsEngine>(p, r, d);
             break;
           case ISDA:
             engine = ext::make_shared<IsdaCdsEngine>(
-                probability, recoveryRate, discountCurve,
+                p, r, d,
                 ext::nullopt,
                 IsdaCdsEngine::Taylor,
                 IsdaCdsEngine::HalfDayBias,
@@ -369,9 +486,31 @@ namespace QuantLib {
           default:
             QL_FAIL("unknown CDS pricing model: " << model);
         }
+        return engine;
+    }
+        
+    Rate CreditDefaultSwap::impliedHazardRate(
+                               Real targetNPV,
+                               const Handle<YieldTermStructure>& discountCurve,
+                               const DayCounter& dayCounter,
+                               Real recoveryRate,
+                               Real accuracy,
+                               PricingModel model) const {
+
+        calculate();
+        ext::shared_ptr<SimpleQuote> flatRate = ext::make_shared<SimpleQuote>(0.0);
+
+        Handle<DefaultProbabilityTermStructure> probability =
+            Handle<DefaultProbabilityTermStructure>(
+                ext::make_shared<FlatHazardRate>(0, WeekendsOnly(),
+                                                   Handle<Quote>(flatRate), dayCounter));
+
+        ext::shared_ptr<PricingEngine> engine = buildPricingEngine(probability, recoveryRate, discountCurve, model);
 
         setupArguments(engine->getArguments());
-        const auto* results = dynamic_cast<const CreditDefaultSwap::results*>(engine->getResults());
+        const CreditDefaultSwap::results* results =
+            dynamic_cast<const CreditDefaultSwap::results*>(
+                engine->getResults());
 
         ObjectiveFunction f(targetNPV, *flatRate, *engine, results);
         //very close guess if targetNPV = 0.
@@ -386,6 +525,7 @@ namespace QuantLib {
                               const DayCounter& dayCounter,
                               PricingModel model) const {
 
+        calculate();
         ext::shared_ptr<SimpleQuote> flatRate = ext::make_shared<SimpleQuote>(0.0);
 
         Handle<DefaultProbabilityTermStructure> probability =
@@ -393,26 +533,12 @@ namespace QuantLib {
                 ext::make_shared<FlatHazardRate>(0, WeekendsOnly(),
                                                    Handle<Quote>(flatRate), dayCounter));
 
-        ext::shared_ptr<PricingEngine> engine;
-        switch (model) {
-          case Midpoint:
-            engine = ext::make_shared<MidPointCdsEngine>(
-                probability, conventionalRecovery, discountCurve);
-            break;
-          case ISDA:
-            engine = ext::make_shared<IsdaCdsEngine>(
-                probability, conventionalRecovery, discountCurve,
-                ext::nullopt,
-                IsdaCdsEngine::Taylor,
-                IsdaCdsEngine::HalfDayBias,
-                IsdaCdsEngine::Piecewise);
-            break;
-          default:
-            QL_FAIL("unknown CDS pricing model: " << model);
-        }
+        ext::shared_ptr<PricingEngine> engine = buildPricingEngine(probability, conventionalRecovery, discountCurve, model);
 
         setupArguments(engine->getArguments());
-        const auto* results = dynamic_cast<const CreditDefaultSwap::results*>(engine->getResults());
+        const CreditDefaultSwap::results* results =
+            dynamic_cast<const CreditDefaultSwap::results*>(
+                engine->getResults());
 
         ObjectiveFunction f(0., *flatRate, *engine, results);
         Rate guess = runningSpread_ / (1 - conventionalRecovery) * 365./360.;
@@ -437,9 +563,15 @@ namespace QuantLib {
     }
 
     const ext::shared_ptr<SimpleCashFlow>& CreditDefaultSwap::accrualRebate() const {
+        calculate();
         return accrualRebate_;
     }
 
+    const ext::shared_ptr<SimpleCashFlow>& CreditDefaultSwap::accrualRebateCurrent() const {
+        calculate();
+        return accrualRebateCurrent_;
+    }
+
     const Date& CreditDefaultSwap::tradeDate() const {
         return tradeDate_;
     }
@@ -467,6 +599,8 @@ namespace QuantLib {
     void CreditDefaultSwap::results::reset() {
         Instrument::results::reset();
         fairSpread = Null<Rate>();
+        fairSpreadClean = Null<Rate>();
+        fairSpreadDirty = Null<Rate>();
         fairUpfront = Null<Rate>();
         couponLegBPS = Null<Real>();
         couponLegNPV = Null<Real>();
@@ -474,35 +608,21 @@ namespace QuantLib {
         upfrontBPS = Null<Real>();
         upfrontNPV = Null<Real>();
         accrualRebateNPV = Null<Real>();
+        accrualRebateNPVCurrent = Null<Real>();
     }
 
-    Date cdsMaturity(const Date& tradeDate, const Period& tenor, DateGeneration::Rule rule) {
-
-        QL_REQUIRE(rule == DateGeneration::CDS2015 || rule == DateGeneration::CDS || rule == DateGeneration::OldCDS,
-            "cdsMaturity should only be used with date generation rule CDS2015, CDS or OldCDS");
-
-        QL_REQUIRE(tenor.units() == Years || (tenor.units() == Months && tenor.length() % 3 == 0),
-            "cdsMaturity expects a tenor that is a multiple of 3 months.");
-
-        if (rule == DateGeneration::OldCDS) {
-            QL_REQUIRE(tenor != 0 * Months, "A tenor of 0M is not supported for OldCDS.");
-        }
-
-        Date anchorDate = previousTwentieth(tradeDate, rule);
-        if (rule == DateGeneration::CDS2015 && (anchorDate == Date(20, Dec, anchorDate.year()) ||
-            anchorDate == Date(20, Jun, anchorDate.year()))) {
-            if (tenor.length() == 0) {
-                return Date();
-            } else {
-                anchorDate -= 3 * Months;
-            }
-        }
-
-        Date maturity = anchorDate + tenor + 3 * Months;
-        QL_REQUIRE(maturity > tradeDate, "error calculating CDS maturity. Tenor is " << tenor << ", trade date is " <<
-            io::iso_date(tradeDate) << " generating a maturity of " << io::iso_date(maturity) << " <= trade date.");
+    std::ostream &operator<<(std::ostream &out,
+                             const CreditDefaultSwap::ProtectionPaymentTime &t)  {
+        if (t == CreditDefaultSwap::ProtectionPaymentTime::atDefault)
+            out << "at default";
+        else if (t == CreditDefaultSwap::ProtectionPaymentTime::atPeriodEnd)
+            out << "at period end";
+        else if (t == CreditDefaultSwap::ProtectionPaymentTime::atMaturity)
+            out << "at maturity";
+        else
+            out << "unknown protection payment time";
 
-        return maturity;
+        return out;
     }
 
 }
diff --git a/ql/instruments/creditdefaultswap.hpp b/ql/instruments/creditdefaultswap.hpp
index 1b57b826bb9..d934977b2f9 100644
--- ql/instruments/creditdefaultswap.hpp
+++ ql/instruments/creditdefaultswap.hpp
@@ -4,6 +4,7 @@
  Copyright (C) 2008, 2009 Jose Aparicio
  Copyright (C) 2008 Roland Lichters
  Copyright (C) 2008 StatPro Italia srl
+ Copyright (C) 2017 Quaternion Risk Management Ltd
 
  This file is part of QuantLib, a free-software/open-source library
  for financial quantitative analysts and developers - http://quantlib.org/
@@ -58,6 +59,11 @@ namespace QuantLib {
         class arguments;
         class results;
         class engine;
+        enum ProtectionPaymentTime {
+            atDefault,
+            atPeriodEnd,
+            atMaturity
+        };
         enum PricingModel {
             Midpoint,
             ISDA
@@ -96,16 +102,18 @@ namespace QuantLib {
                               guessed from the protection start date and \p schedule date generation rule.
             @param cashSettlementDays  The number of business days from \p tradeDate to cash settlement date.
         */
+        QL_DEPRECATED
         CreditDefaultSwap(Protection::Side side,
                           Real notional,
                           Rate spread,
                           const Schedule& schedule,
                           BusinessDayConvention paymentConvention,
                           const DayCounter& dayCounter,
-                          bool settlesAccrual = true,
-                          bool paysAtDefaultTime = true,
+                          bool settlesAccrual,
+                          bool paysAtDefaultTime,
                           const Date& protectionStart = Date(),
-                          ext::shared_ptr<Claim> = ext::shared_ptr<Claim>(),
+                          const ext::shared_ptr<Claim>& =
+                                                  ext::shared_ptr<Claim>(),
                           const DayCounter& lastPeriodDayCounter = DayCounter(),
                           bool rebatesAccrual = true,
                           const Date& tradeDate = Date(),
@@ -148,6 +156,7 @@ namespace QuantLib {
                               generation rule.
             @param cashSettlementDays  The number of business days from \p tradeDate to cash settlement date.
         */
+        QL_DEPRECATED
         CreditDefaultSwap(Protection::Side side,
                           Real notional,
                           Rate upfront,
@@ -155,15 +164,196 @@ namespace QuantLib {
                           const Schedule& schedule,
                           BusinessDayConvention paymentConvention,
                           const DayCounter& dayCounter,
-                          bool settlesAccrual = true,
-                          bool paysAtDefaultTime = true,
+                          bool settlesAccrual,
+                          bool paysAtDefaultTime,
                           const Date& protectionStart = Date(),
                           const Date& upfrontDate = Date(),
-                          ext::shared_ptr<Claim> = ext::shared_ptr<Claim>(),
+                          const ext::shared_ptr<Claim>& =
+                                                  ext::shared_ptr<Claim>(),
                           const DayCounter& lastPeriodDayCounter = DayCounter(),
                           bool rebatesAccrual = true,
                           const Date& tradeDate = Date(),
                           Natural cashSettlementDays = 3);
+        //! \name Constructors
+    //@{
+    //! CDS quoted as running-spread only
+    /*! @param side  Whether the protection is bought or sold.
+        @param notional  Notional value
+        @param spread  Running spread in fractional units.
+        @param schedule  Coupon schedule.
+        @param paymentConvention  Business-day convention for
+                                  payment-date adjustment.
+        @param dayCounter  Day-count convention for accrual.
+        @param settlesAccrual  Whether or not the accrued coupon is
+                               due in the event of a default.
+        @param protectionPaymentTime timing of protection and default accrual payments
+        @param protectionStart  The first date where a default event will trigger the contract. 
+                                Before the CDS Big Bang 2009, this was typically trade date (T) + 1 calendar day.
+                                After the CDS Big Bang 2009, protection is typically effective immediately i.e. on 
+                                trade date so this is what should be entered for protection start.
+        @param lastPeriodDayCounter  Day-count convention for accrual in last period. Mainly to
+                                     allow for possibility of including maturity date in the last
+                                     period's coupon accrual which is standard.
+        @param rebatesAccrual  The protection seller pays the accrued 
+                               scheduled current coupon at the start 
+                               of the contract. The rebate date is not
+                               provided but computed to be two days after
+                               protection start.
+        @param tradeDate  The contract's trade date. It will be used with the \p cashSettlementDays to determine 
+                          the date on which the cash settlement amount is paid. If not given, the trade date is 
+                          guessed from the protection start date and \p schedule date generation rule.
+        @param cashSettlementDays  The number of business days from \p tradeDate to cash settlement date.
+    */
+    CreditDefaultSwap(Protection::Side side,
+                      Real notional,
+                      Rate spread,
+                      const Schedule& schedule,
+                      BusinessDayConvention paymentConvention,
+                      const DayCounter& dayCounter, bool settlesAccrual = true,
+                      ProtectionPaymentTime protectionPaymentTime = atDefault,
+                      const Date& protectionStart = Date(),
+                      const ext::shared_ptr<Claim>& claim = ext::shared_ptr<Claim>(),
+                      const DayCounter& lastPeriodDayCounter = DayCounter(),
+                      bool rebatesAccrual = true,
+                      const Date& tradeDate = Date(),
+                      Natural cashSettlementDays = 3);
+    //! CDS quoted as upfront and running spread
+    /*! @param side  Whether the protection is bought or sold.
+        @param notional  Notional value
+        @param upfront Upfront in fractional units.
+        @param spread Running spread in fractional units.
+        @param schedule  Coupon schedule.
+        @param paymentConvention  Business-day convention for
+                                  payment-date adjustment.
+        @param dayCounter  Day-count convention for accrual.
+        @param settlesAccrual Whether or not the accrued coupon is
+                              due in the event of a default.
+        @param protectionPaymentTime timing of protection and default accrual payments
+        @param protectionStart  The first date where a default event will trigger the contract. 
+                                Before the CDS Big Bang 2009, this was typically trade date (T) + 1 calendar day.
+                                After the CDS Big Bang 2009, protection is typically effective immediately i.e. on 
+                                trade date so this is what should be entered for protection start.
+        @param upfrontDate Settlement date for the upfront payment.
+        @param lastPeriodDayCounter  Day-count convention for accrual in last period. Mainly to
+                                     allow for possibility of including maturity date in the last
+                                     period's coupon accrual which is standard.
+        @param rebatesAccrual  The protection seller pays the accrued 
+                               scheduled current coupon at the start 
+                               of the contract. The rebate date is not
+                               provided but computed to be two days after
+                               protection start.
+        @param tradeDate  The contract's trade date. It will be used with the \p cashSettlementDays to determine
+                          the date on which the cash settlement amount is paid. If not given, the trade date is
+                          guessed from the protection start date and \p schedule date generation rule.
+        @param cashSettlementDays  The number of business days from \p tradeDate to cash settlement date.
+    */
+    CreditDefaultSwap(Protection::Side side,
+                      Real notional,
+                      Rate upfront,
+                      Rate spread,
+                      const Schedule& schedule,
+                      BusinessDayConvention paymentConvention,
+                      const DayCounter& dayCounter,
+                      bool settlesAccrual = true,
+                      ProtectionPaymentTime protectionPaymentTime = atDefault,
+                      const Date& protectionStart = Date(),
+                      const Date& upfrontDate = Date(),
+                      const ext::shared_ptr<Claim>& claim = ext::shared_ptr<Claim>(),
+                      const DayCounter& lastPeriodDayCounter = DayCounter(),
+                      bool rebatesAccrual = true,
+                      const Date& tradeDate = Date(),
+                      Natural cashSettlementDays = 3);
+    //! CDS quoted as running-spread only and with amortized notional structure
+    /*! @param side  Whether the protection is bought or sold.
+        @param notional  Initial Notional value
+        @param amortized_leg  Amortizing Notional structure
+        @param spread  Running spread in fractional units.
+        @param schedule  Coupon schedule.
+        @param paymentConvention  Business-day convention for
+                                  payment-date adjustment.
+        @param dayCounter  Day-count convention for accrual.
+        @param settlesAccrual  Whether or not the accrued coupon is
+                               due in the event of a default.
+        @param protectionPaymentTime timing of protection and default accrual payments
+        @param protectionStart  The first date where a default event will trigger the contract. 
+                                Before the CDS Big Bang 2009, this was typically trade date (T) + 1 calendar day.
+                                After the CDS Big Bang 2009, protection is typically effective immediately i.e. on 
+                                trade date so this is what should be entered for protection start.
+        @param lastPeriodDayCounter  Day-count convention for accrual in last period. Mainly to
+                                     allow for possibility of including maturity date in the last
+                                     period's coupon accrual which is standard.
+        @param rebatesAccrual  The protection seller pays the accrued 
+                               scheduled current coupon at the start 
+                               of the contract. The rebate date is not
+                               provided but computed to be two days after
+                               protection start.
+        @param tradeDate  The contract's trade date. It will be used with the \p cashSettlementDays to determine 
+                          the date on which the cash settlement amount is paid. If not given, the trade date is 
+                          guessed from the protection start date and \p schedule date generation rule.
+        @param cashSettlementDays  The number of business days from \p tradeDate to cash settlement date.
+    */
+    CreditDefaultSwap(Protection::Side side,
+                      Real notional,
+                      const Leg& amortized_leg,
+                      Rate spread,
+                      const Schedule& schedule,
+                      BusinessDayConvention paymentConvention,
+                      const DayCounter& dayCounter,
+                      bool settlesAccrual = true,
+                      ProtectionPaymentTime protectionPaymentTime = atDefault,
+                      const Date& protectionStart = Date(),
+                      const ext::shared_ptr<Claim>& claim = ext::shared_ptr<Claim>(),
+                      const DayCounter& lastPeriodDayCounter = DayCounter(),
+                      bool rebatesAccrual = true,
+                      const Date& tradeDate = Date(),
+                      Natural cashSettlementDays = 3);
+    //! CDS quoted as upfront and running spread and with amortized notional structure
+    /*! @param side  Whether the protection is bought or sold.
+        @param notional  Initial Notional value
+        @param amortized_leg  Amortizing Notional structure
+        @param upfront Upfront in fractional units.
+        @param spread Running spread in fractional units.
+        @param schedule  Coupon schedule.
+        @param paymentConvention  Business-day convention for
+                                  payment-date adjustment.
+        @param dayCounter  Day-count convention for accrual.
+        @param settlesAccrual Whether or not the accrued coupon is
+                              due in the event of a default.
+        @param protectionPaymentTime timing of protection and default accrual payments
+        @param protectionStart  The first date where a default event will trigger the contract. 
+                                Before the CDS Big Bang 2009, this was typically trade date (T) + 1 calendar day.
+                                After the CDS Big Bang 2009, protection is typically effective immediately i.e. on 
+                                trade date so this is what should be entered for protection start.
+        @param upfrontDate Settlement date for the upfront payment.
+        @param lastPeriodDayCounter  Day-count convention for accrual in last period. Mainly to
+                                     allow for possibility of including maturity date in the last
+                                     period's coupon accrual which is standard.
+        @param rebatesAccrual  The protection seller pays the accrued 
+                               scheduled current coupon at the start 
+                               of the contract. The rebate date is not
+                               provided but computed to be two days after
+                               protection start.
+        @param tradeDate  The contract's trade date. It will be used with the \p cashSettlementDays to determine
+                          the date on which the cash settlement amount is paid. If not given, the trade date is
+                          guessed from the protection start date and \p schedule date generation rule.
+        @param cashSettlementDays  The number of business days from \p tradeDate to cash settlement date.
+    */
+    CreditDefaultSwap(Protection::Side side,
+                      Real notional,
+                      const Leg& amortized_leg,
+                      Rate upfront, Rate spread,
+                      const Schedule& schedule,
+                      BusinessDayConvention paymentConvention,
+                      const DayCounter& dayCounter,
+                      bool settlesAccrual = true,
+                      ProtectionPaymentTime protectionPaymentTime = atDefault,
+                      const Date& protectionStart = Date(),
+                      const Date& upfrontDate = Date(),
+                      const ext::shared_ptr<Claim>& claim = ext::shared_ptr<Claim>(),
+                      const DayCounter& lastPeriodDayCounter = DayCounter(),
+                      bool rebatesAccrual = true,
+                      const Date& tradeDate = Date(),
+                      Natural cashSettlementDays = 3);
         //@}
         //! \name Instrument interface
         //@{
@@ -178,17 +368,20 @@ namespace QuantLib {
         Rate runningSpread() const;
         ext::optional<Rate> upfront() const;
         bool settlesAccrual() const;
+        ProtectionPaymentTime protectionPaymentTime() const;
         bool paysAtDefaultTime() const;
         const Leg& coupons() const;
         //! The first date for which defaults will trigger the contract
         const Date& protectionStartDate() const;
         //! The last date for which defaults will trigger the contract
         const Date& protectionEndDate() const;
-        bool rebatesAccrual() const { return accrualRebate_ != nullptr; }
+        bool rebatesAccrual() const { return accrualRebate_ != NULL; }
         const ext::shared_ptr<SimpleCashFlow>& upfrontPayment() const;
         const ext::shared_ptr<SimpleCashFlow>& accrualRebate() const;
+        const ext::shared_ptr<SimpleCashFlow>& accrualRebateCurrent() const;
         const Date& tradeDate() const;
         Natural cashSettlementDays() const;
+        Date maturity() const { return maturity_; }
         //@}
         //! \name Results
         //@{
@@ -204,6 +397,8 @@ namespace QuantLib {
                   account, even if one was given.
         */
         Rate fairSpread() const;
+        Rate fairSpreadDirty() const;
+        Rate fairSpreadClean() const;
         /*! Returns the variation of the fixed-leg value given a
             one-basis-point change in the running spread.
         */
@@ -213,6 +408,7 @@ namespace QuantLib {
         Real defaultLegNPV() const;
         Real upfrontNPV() const;
         Real accrualRebateNPV() const;
+        Real accrualRebateNPVCurrent() const;
 
         //! Implied hazard rate calculation
         /*! \note This method performs the calculation with the
@@ -275,39 +471,63 @@ namespace QuantLib {
                                 PricingModel model = Midpoint) const;
         //@}
       protected:
+        void performCalculations() const override;
         //! \name Instrument interface
         //@{
         void setupExpired() const override;
         //@}
+        //! \name Additional interface
+        //@{
+        virtual ext::shared_ptr<PricingEngine> buildPricingEngine(const Handle<DefaultProbabilityTermStructure>& p,
+                                                                  Real r, const Handle<YieldTermStructure>& d,
+                                                                  PricingModel model = Midpoint) const;
+        //@}
         // data members
         Protection::Side side_;
         Real notional_;
         ext::optional<Rate> upfront_;
         Rate runningSpread_;
+        Schedule schedule_;
+        BusinessDayConvention paymentConvention_;
         bool settlesAccrual_, paysAtDefaultTime_;
+        ProtectionPaymentTime protectionPaymentTime_;
         ext::shared_ptr<Claim> claim_;
         Leg leg_;
         ext::shared_ptr<SimpleCashFlow> upfrontPayment_;
-        ext::shared_ptr<SimpleCashFlow> accrualRebate_;
+        mutable ext::shared_ptr<SimpleCashFlow> accrualRebate_;
+        mutable ext::shared_ptr<SimpleCashFlow> accrualRebateCurrent_;
         Date protectionStart_;
         Date tradeDate_;
         Natural cashSettlementDays_;
+        bool rebatesAccrual_;
+        DayCounter dayCounter_;
+        DayCounter lastPeriodDayCounter_;
+        DayCounter effectiveLastPeriodDayCounter_;
+
+        bool postBigBang_;
+        Date effectiveUpfrontDate_;
         Date maturity_;
         // results
         mutable Rate fairUpfront_;
         mutable Rate fairSpread_;
+        mutable Rate fairSpreadClean_;
+        mutable Rate fairSpreadDirty_;
         mutable Real couponLegBPS_, couponLegNPV_;
         mutable Real upfrontBPS_, upfrontNPV_;
         mutable Real defaultLegNPV_;
         mutable Real accrualRebateNPV_;
+        mutable Real accrualRebateNPVCurrent_;
 
       private:
         //! Shared initialisation.
-        void init(const Schedule& schedule, BusinessDayConvention paymentConvention, const DayCounter& dayCounter,
-            const DayCounter& lastPeriodDayCounter, bool rebatesAccrual, const Date& upfrontDate = Date());
+        void init(const Date& upfrontDate = Date());
     };
 
 
+    std::ostream &operator<<(std::ostream &out,
+                             const CreditDefaultSwap::ProtectionPaymentTime &t);
+
+
     class CreditDefaultSwap::arguments
         : public virtual PricingEngine::arguments {
       public:
@@ -320,8 +540,10 @@ namespace QuantLib {
         // if not initialized by constructors means theres no flows.
         ext::shared_ptr<SimpleCashFlow> upfrontPayment;
         ext::shared_ptr<SimpleCashFlow> accrualRebate;
+        ext::shared_ptr<SimpleCashFlow> accrualRebateCurrent;
         bool settlesAccrual;
         bool paysAtDefaultTime;
+        ProtectionPaymentTime protectionPaymentTime;
         ext::shared_ptr<Claim> claim;
         Date protectionStart;
         Date maturity;
@@ -330,6 +552,8 @@ namespace QuantLib {
 
     class CreditDefaultSwap::results : public Instrument::results {
       public:
+        Rate fairSpreadDirty;
+        Rate fairSpreadClean;
         Rate fairSpread;
         Rate fairUpfront;
         Real couponLegBPS;
@@ -338,6 +562,7 @@ namespace QuantLib {
         Real upfrontBPS;
         Real upfrontNPV;
         Real accrualRebateNPV;
+        Real accrualRebateNPVCurrent;
         void reset() override;
     };
 
@@ -345,21 +570,6 @@ namespace QuantLib {
         : public GenericEngine<CreditDefaultSwap::arguments,
                                CreditDefaultSwap::results> {};
 
-    /*! Return the CDS maturity date given the CDS trade date, \p tradeDate, the CDS \p tenor and a CDS \p rule.
-
-        A null date is returned when a \p rule of \c CDS2015 and a \p tenor length of zero fail to yield a valid
-        CDS maturity date.
-
-        \warning An exception will be thrown if the \p rule is not \c CDS2015, \c CDS or \c OldCDS.
-
-        \warning An exception will be thrown if the \p rule is \c OldCDS and a \p tenor of 0 months is provided. This
-                 restriction can be removed if 0M tenor was available before the CDS Big Bang 2009.
-
-        \warning An exception will be thrown if the \p tenor is not a multiple of 3 months. For the avoidance of
-                 doubt, a \p tenor of 0 months is supported.
-    */
-    Date cdsMaturity(const Date& tradeDate, const Period& tenor, DateGeneration::Rule rule);
-
 }
 
 
diff --git a/ql/instruments/forward.cpp b/ql/instruments/forward.cpp
index bcce34056b4..b61a906cec8 100644
--- ql/instruments/forward.cpp
+++ ql/instruments/forward.cpp
@@ -22,6 +22,7 @@
 #include <ql/termstructures/yieldtermstructure.hpp>
 #include <utility>
 
+
 namespace QuantLib {
 
     Forward::Forward(DayCounter dayCounter,
@@ -37,8 +38,8 @@ namespace QuantLib {
       payoff_(std::move(payoff)), valueDate_(valueDate), maturityDate_(maturityDate),
       discountCurve_(std::move(discountCurve)) {
 
-        maturityDate_ = calendar_.adjust(maturityDate_,
-                                         businessDayConvention_);
+
+        maturityDate_ = calendar_.adjust(maturityDate_, businessDayConvention_);
 
         registerWith(Settings::instance().evaluationDate());
         registerWith(discountCurve_);
@@ -46,22 +47,19 @@ namespace QuantLib {
 
 
     Date Forward::settlementDate() const {
-        Date d = calendar_.advance(Settings::instance().evaluationDate(),
-                                   settlementDays_, Days);
-        return std::max(d,valueDate_);
+        Date d = calendar_.advance(Settings::instance().evaluationDate(), settlementDays_, Days);
+        return std::max(d, valueDate_);
     }
 
 
     bool Forward::isExpired() const {
-        return detail::simple_event(maturityDate_)
-               .hasOccurred(settlementDate());
+        return detail::simple_event(maturityDate_).hasOccurred(settlementDate());
     }
 
 
     Real Forward::forwardValue() const {
         calculate();
-        return (underlyingSpotValue_ - underlyingIncome_ )/
-               discountCurve_->discount(maturityDate_);
+        return (underlyingSpotValue_ - underlyingIncome_) / discountCurve_->discount(maturityDate_);
     }
 
 
@@ -71,24 +69,21 @@ namespace QuantLib {
                                        Compounding comp,
                                        const DayCounter& dayCounter) {
 
-        Time t = dayCounter.yearFraction(settlementDate,maturityDate_) ;
-        Real compoundingFactor = forwardValue/
-            (underlyingSpotValue-spotIncome(incomeDiscountCurve_)) ;
-        return InterestRate::impliedRate(compoundingFactor,
-                                         dayCounter, comp, Annual,
-                                         t);
+        Time t = dayCounter.yearFraction(settlementDate, maturityDate_);
+        Real compoundingFactor =
+            forwardValue / (underlyingSpotValue - spotIncome(incomeDiscountCurve_));
+        return InterestRate::impliedRate(compoundingFactor, dayCounter, comp, Annual, t);
     }
 
 
     void Forward::performCalculations() const {
 
-        QL_REQUIRE(!discountCurve_.empty(),
-                   "null term structure set to Forward");
+        QL_REQUIRE(!discountCurve_.empty(), "null term structure set to Forward");
 
         ext::shared_ptr<ForwardTypePayoff> ftpayoff =
             ext::dynamic_pointer_cast<ForwardTypePayoff>(payoff_);
         Real fwdValue = forwardValue();
-        NPV_ = (*ftpayoff)(fwdValue) * discountCurve_->discount(maturityDate_);
+        NPV_ = (*ftpayoff)(fwdValue)*discountCurve_->discount(maturityDate_);
     }
 
-}
+}
\ No newline at end of file
diff --git a/ql/instruments/forward.hpp b/ql/instruments/forward.hpp
index af9968f4bc1..918108e68dc 100644
--- ql/instruments/forward.hpp
+++ ql/instruments/forward.hpp
@@ -24,15 +24,15 @@
 #ifndef quantlib_forward_hpp
 #define quantlib_forward_hpp
 
+#include <ql/handle.hpp>
 #include <ql/instrument.hpp>
+#include <ql/interestrate.hpp>
+#include <ql/payoff.hpp>
 #include <ql/position.hpp>
+#include <ql/termstructures/yieldtermstructure.hpp>
 #include <ql/time/calendar.hpp>
 #include <ql/time/daycounter.hpp>
-#include <ql/interestrate.hpp>
 #include <ql/types.hpp>
-#include <ql/handle.hpp>
-#include <ql/payoff.hpp>
-#include <ql/termstructures/yieldtermstructure.hpp>
 
 namespace QuantLib {
 
@@ -82,8 +82,7 @@ namespace QuantLib {
         //! returns spot value/price of an underlying financial instrument
         virtual Real spotValue() const = 0;
         //! NPV of income/dividends/storage-costs etc. of underlying instrument
-        virtual Real spotIncome(const Handle<YieldTermStructure>&
-                                               incomeDiscountCurve) const = 0;
+        virtual Real spotIncome(const Handle<YieldTermStructure>& incomeDiscountCurve) const = 0;
 
         //! \name Calculations
         //@{
@@ -144,9 +143,8 @@ namespace QuantLib {
     //! Class for forward type payoffs
     class ForwardTypePayoff : public Payoff {
       public:
-        ForwardTypePayoff(Position::Type type, Real strike)
-        : type_(type),strike_(strike) {
-            QL_REQUIRE(strike >= 0.0,"negative strike given");
+        ForwardTypePayoff(Position::Type type, Real strike) : type_(type), strike_(strike) {
+            QL_REQUIRE(strike >= 0.0, "negative strike given");
         }
         Position::Type forwardType() const { return type_; };
         Real strike() const { return strike_; };
@@ -162,24 +160,17 @@ namespace QuantLib {
     };
 
 
-
     // inline definitions
 
-    inline const Calendar& Forward::calendar() const {
-        return calendar_;
-    }
+    inline const Calendar& Forward::calendar() const { return calendar_; }
 
     inline BusinessDayConvention Forward::businessDayConvention() const {
         return businessDayConvention_;
     }
 
-    inline const DayCounter& Forward::dayCounter() const {
-        return dayCounter_;
-    }
+    inline const DayCounter& Forward::dayCounter() const { return dayCounter_; }
 
-    inline Handle<YieldTermStructure> Forward::discountCurve() const {
-        return discountCurve_;
-    }
+    inline Handle<YieldTermStructure> Forward::discountCurve() const { return discountCurve_; }
 
     inline Handle<YieldTermStructure> Forward::incomeDiscountCurve() const {
         return incomeDiscountCurve_;
@@ -194,17 +185,16 @@ namespace QuantLib {
 
     inline Real ForwardTypePayoff::operator()(Real price) const {
         switch (type_) {
-          case Position::Long:
-            return (price-strike_);
-          case Position::Short:
-            return (strike_-price);
-          default:
-            QL_FAIL("unknown/illegal position type");
+            case Position::Long:
+                return (price - strike_);
+            case Position::Short:
+                return (strike_ - price);
+            default:
+                QL_FAIL("unknown/illegal position type");
         }
     }
 
 }
 
 
-#endif
-
+#endif
\ No newline at end of file
diff --git a/ql/instruments/forwardrateagreement.cpp b/ql/instruments/forwardrateagreement.cpp
index c57d296ce93..9d036e8c3e9 100644
--- ql/instruments/forwardrateagreement.cpp
+++ ql/instruments/forwardrateagreement.cpp
@@ -63,6 +63,8 @@ namespace QuantLib {
         registerWith(index_);
     }
 
+    QL_DEPRECATED_ENABLE_WARNING
+
     Date ForwardRateAgreement::fixingDate() const {
         return index_->fixingDate(valueDate_);
     }
diff --git a/ql/instruments/inflationcapfloor.cpp b/ql/instruments/inflationcapfloor.cpp
index 021bd10a2c5..c657c2dbd20 100644
--- ql/instruments/inflationcapfloor.cpp
+++ ql/instruments/inflationcapfloor.cpp
@@ -148,6 +148,15 @@ namespace QuantLib {
 
         arguments->type = type_;
 
+        // Attempt to populate the index and obsLag members of YoYInflationCapFloor::arguments.
+        if (ext::shared_ptr<YoYInflationCoupon> yoyCoupon = lastYoYInflationCoupon()) {
+            arguments->observationLag = yoyCoupon->observationLag();
+            if (ext::shared_ptr<YoYInflationIndex> yoyIndex = 
+                ext::dynamic_pointer_cast<YoYInflationIndex>(yoyCoupon->index())) {
+                arguments->index = yoyIndex;
+            }
+        }
+
         for (Size i=0; i<n; ++i) {
             ext::shared_ptr<YoYInflationCoupon> coupon =
             ext::dynamic_pointer_cast<YoYInflationCoupon>(
diff --git a/ql/instruments/makecds.cpp b/ql/instruments/makecds.cpp
index 3a5e81e30fa..88315cae4dc 100644
--- ql/instruments/makecds.cpp
+++ ql/instruments/makecds.cpp
@@ -74,7 +74,7 @@ namespace QuantLib {
         ext::shared_ptr<CreditDefaultSwap> cds =
             ext::make_shared<CreditDefaultSwap>(
                 side_, nominal_, upfrontRate_, couponRate_, schedule, Following,
-                dayCounter_, true, true, protectionStart, upfrontDate,
+                dayCounter_, true, CreditDefaultSwap::ProtectionPaymentTime::atDefault, protectionStart, upfrontDate,
                 ext::shared_ptr<Claim>(), lastPeriodDayCounter_, true, tradeDate, cashSettlementDays_);
 
         cds->setPricingEngine(engine_);
diff --git a/ql/instruments/makevanillaswap.cpp b/ql/instruments/makevanillaswap.cpp
index 6d6978da85d..ac8f06251a7 100644
--- ql/instruments/makevanillaswap.cpp
+++ ql/instruments/makevanillaswap.cpp
@@ -67,8 +67,12 @@ namespace QuantLib {
             // use index valueDate interface wherever possible to estimate spot date.
             // Unless we pass an explicit settlementDays_ which does not match the index-defined number of fixing days.
             Date spotDate;
-            if (settlementDays_ == Null<Natural>())
-                spotDate = iborIndex_->valueDate(refDate);
+            if (settlementDays_ == Null<Natural>()) {
+                // ref date can be a holiday for the fixing calendar, so we adjust this before callaing valueDate()
+                // since this method requires the argument to be a business day
+                spotDate =
+                    iborIndex_->valueDate(iborIndex_->fixingCalendar().adjust(refDate, Following));
+            }
             else
                 spotDate = floatCalendar_.advance(refDate, settlementDays_ * Days);
             startDate = spotDate+forwardStart_;
diff --git a/ql/instruments/overnightindexedswap.cpp b/ql/instruments/overnightindexedswap.cpp
index a95853c6cd6..333cae9f541 100644
--- ql/instruments/overnightindexedswap.cpp
+++ ql/instruments/overnightindexedswap.cpp
@@ -144,7 +144,7 @@ namespace QuantLib {
                                                bool applyObservationShift)
     : FixedVsFloatingSwap(type, std::move(fixedNominals), std::move(fixedSchedule), fixedRate, std::move(fixedDC),
                           overnightNominals, std::move(overnightSchedule), overnightIndex,
-                          spread, DayCounter(), ext::nullopt, paymentLag, paymentCalendar),
+                          spread, DayCounter(), paymentAdjustment, paymentLag, paymentCalendar),
                           overnightIndex_(overnightIndex), averagingMethod_(averagingMethod),
                           lookbackDays_(lookbackDays), lockoutDays_(lockoutDays),
                           applyObservationShift_(applyObservationShift) {
diff --git a/ql/instruments/swap.cpp b/ql/instruments/swap.cpp
index b20668b93ff..5f23239f32b 100644
--- ql/instruments/swap.cpp
+++ ql/instruments/swap.cpp
@@ -168,6 +168,16 @@ namespace QuantLib {
         update();
     }
 
+    void Swap::alwaysForwardNotifications() {
+        for (auto& leg : legs_) {
+            for (auto& k : leg) {
+                if (auto lazy = ext::dynamic_pointer_cast<LazyObject>(k))
+                    lazy->alwaysForwardNotifications();
+            }
+        }
+        LazyObject::alwaysForwardNotifications();
+    }
+
     void Swap::arguments::validate() const {
         QL_REQUIRE(legs.size() == payer.size(),
                    "number of legs and multipliers differ");
diff --git a/ql/instruments/swap.hpp b/ql/instruments/swap.hpp
index 8fe9ee62629..6422d1eb822 100644
--- ql/instruments/swap.hpp
+++ ql/instruments/swap.hpp
@@ -63,6 +63,10 @@ namespace QuantLib {
         Swap(const std::vector<Leg>& legs,
              const std::vector<bool>& payer);
         //@}
+        //! \name LazyObject interface
+        //@{
+        void alwaysForwardNotifications();
+        //@}
         //! \name Observable interface
         //@{
         void deepUpdate() override;
diff --git a/ql/instruments/swaption.cpp b/ql/instruments/swaption.cpp
index 3306f05598e..c0f1cd63961 100644
--- ql/instruments/swaption.cpp
+++ ql/instruments/swaption.cpp
@@ -151,7 +151,8 @@ namespace QuantLib {
     }
 
     void Swaption::deepUpdate() {
-        swap_->deepUpdate();
+        if (swap_)
+            swap_->deepUpdate();
         update();
     }
 
diff --git a/ql/instruments/swaption.hpp b/ql/instruments/swaption.hpp
index ff9bcee51ba..9e76c7e501f 100644
--- ql/instruments/swaption.hpp
+++ ql/instruments/swaption.hpp
@@ -32,6 +32,7 @@
 #include <ql/option.hpp>
 #include <ql/instruments/fixedvsfloatingswap.hpp>
 #include <ql/instruments/vanillaswap.hpp>
+#include <ql/instruments/overnightindexedswap.hpp>
 #include <ql/termstructures/yieldtermstructure.hpp>
 #include <ql/termstructures/volatility/volatilitytype.hpp>
 
diff --git a/ql/instruments/varianceswap.cpp b/ql/instruments/varianceswap.cpp
index 402889ae7e1..a49c4e20a40 100644
--- ql/instruments/varianceswap.cpp
+++ ql/instruments/varianceswap.cpp
@@ -20,6 +20,7 @@
 
 #include <ql/instruments/varianceswap.hpp>
 #include <ql/event.hpp>
+#include <ql/math/comparison.hpp>
 
 namespace QuantLib {
 
@@ -64,7 +65,8 @@ namespace QuantLib {
         QL_REQUIRE(strike != Null<Real>(), "no strike given");
         QL_REQUIRE(strike > 0.0, "negative or null strike given");
         QL_REQUIRE(notional != Null<Real>(), "no notional given");
-        QL_REQUIRE(notional > 0.0, "negative or null notional given");
+        QL_REQUIRE(notional > 0.0 || close_enough(notional, 0.0),
+                   "negative or null notional given");
         QL_REQUIRE(startDate != Date(), "null start date given");
         QL_REQUIRE(maturityDate != Date(), "null maturity date given");
     }
diff --git a/ql/math/array.hpp b/ql/math/array.hpp
index c56b884c2e4..ff7aecdfa97 100644
--- ql/math/array.hpp
+++ ql/math/array.hpp
@@ -38,6 +38,15 @@
 #include <iomanip>
 #include <memory>
 #include <type_traits>
+#include <boost/serialization/version.hpp>
+#include <boost/serialization/serialization.hpp>
+#include <boost/serialization/vector.hpp>
+#include <boost/serialization/array.hpp>
+#include <boost/serialization/unique_ptr.hpp>
+#include <boost/version.hpp>
+#if BOOST_VERSION >= 107400
+#include <boost/serialization/library_version_type.hpp>
+#endif
 
 namespace QuantLib {
 
@@ -146,6 +155,19 @@ namespace QuantLib {
       private:
         std::unique_ptr<Real[]> data_;
         Size n_;
+
+        friend class boost::serialization::access;
+
+        template <class Archive>
+        void serialize(Archive& ar, const unsigned int version) {
+            ar& n_;
+
+            // if deserialising
+            if (Archive::is_loading::value)
+                data_ = std::make_unique<Real[]>(n_);
+
+            ar& boost::serialization::make_array(data_.get(), n_);
+        }
     };
 
 
diff --git a/ql/math/comparison.hpp b/ql/math/comparison.hpp
index a4c851abdf2..8c93f808906 100644
--- ql/math/comparison.hpp
+++ ql/math/comparison.hpp
@@ -66,7 +66,7 @@ namespace QuantLib {
             return true;
 
         Real diff = std::fabs(x-y);
-        constexpr double tolerance = 42 * QL_EPSILON;
+        constexpr Real tolerance = 42 * QL_EPSILON;
 
         if (x == 0.0 || y == 0.0)
             return diff < (tolerance * tolerance);
@@ -97,7 +97,7 @@ namespace QuantLib {
             return true;
 
         Real diff = std::fabs(x-y);
-        constexpr double tolerance = 42 * QL_EPSILON;
+        constexpr Real tolerance = 42 * QL_EPSILON;
 
         if (x == 0.0 || y == 0.0) // x or y = 0.0
             return diff < (tolerance * tolerance);
diff --git a/ql/math/integrals/simpsonintegral.hpp b/ql/math/integrals/simpsonintegral.hpp
index ae5bdf956fb..0b2cf13404d 100644
--- ql/math/integrals/simpsonintegral.hpp
+++ ql/math/integrals/simpsonintegral.hpp
@@ -35,10 +35,11 @@ namespace QuantLib {
     */
     class SimpsonIntegral : public TrapezoidIntegral<Default> {
       public:
-        SimpsonIntegral(Real accuracy,
-                        Size maxIterations)
-        : TrapezoidIntegral<Default>(accuracy, maxIterations) {}
+        SimpsonIntegral(Real accuracy, Size maxIterations, Size minIterations = 6)
+        : TrapezoidIntegral<Default>(accuracy, maxIterations), minIterations_(minIterations) {}
+
       protected:
+        Size minIterations_ = 6;
         Real integrate(const std::function<Real(Real)>& f, Real a, Real b) const override {
 
             // start from the coarsest trapezoid...
@@ -55,7 +56,7 @@ namespace QuantLib {
                 N *= 2;
                 newAdjI = (4.0*newI-I)/3.0;
                 // good enough? Also, don't run away immediately
-                if (std::fabs(adjI-newAdjI) <= absoluteAccuracy() && i > 5)
+                if (std::fabs(adjI - newAdjI) <= absoluteAccuracy() && i >= minIterations_)
                     // ok, exit
                     return newAdjI;
                 // oh well. Another step.
diff --git a/ql/math/matrix.hpp b/ql/math/matrix.hpp
index 0530cc7d8dc..72f5afde0e7 100644
--- ql/math/matrix.hpp
+++ ql/math/matrix.hpp
@@ -31,6 +31,15 @@
 #include <initializer_list>
 #include <iterator>
 
+#include <boost/serialization/version.hpp>
+#include <boost/serialization/serialization.hpp>
+#include <boost/serialization/unique_ptr.hpp>
+#include <boost/serialization/array.hpp>
+#include <boost/version.hpp>
+#if BOOST_VERSION >= 107400
+#include <boost/serialization/library_version_type.hpp>
+#endif
+
 namespace QuantLib {
 
     //! %Matrix used in linear algebra.
@@ -147,6 +156,22 @@ namespace QuantLib {
       private:
         std::unique_ptr<Real[]> data_;
         Size rows_ = 0, columns_ = 0;
+
+        friend class boost::serialization::access;
+
+        template <class Archive>
+        void serialize(Archive& ar, const unsigned int version) {
+            ar& rows_;
+            ar& columns_;
+
+            Size matrix_size = rows_ * columns_;
+
+            // checks if deserialising
+            if (Archive::is_loading::value)
+                data_ = std::make_unique<Real[]>(matrix_size);
+
+            ar& boost::serialization::make_array(data_.get(), matrix_size);
+        }
     };
 
     // algebraic operators
diff --git a/ql/math/optimization/levenbergmarquardt.cpp b/ql/math/optimization/levenbergmarquardt.cpp
index 8c12370a402..6aa15efbca9 100644
--- ql/math/optimization/levenbergmarquardt.cpp
+++ ql/math/optimization/levenbergmarquardt.cpp
@@ -29,9 +29,12 @@ namespace QuantLib {
     LevenbergMarquardt::LevenbergMarquardt(Real epsfcn,
                                            Real xtol,
                                            Real gtol,
-                                           bool useCostFunctionsJacobian)
+                                           bool useCostFunctionsJacobian,
+                                           Real factor,
+                                           bool adjustMaxIterationsForDimension)
     : epsfcn_(epsfcn), xtol_(xtol), gtol_(gtol),
-      useCostFunctionsJacobian_(useCostFunctionsJacobian) {}
+      useCostFunctionsJacobian_(useCostFunctionsJacobian), factor_(factor), 
+      adjustMaxIterationsForDimension_(adjustMaxIterationsForDimension) {}
 
     EndCriteria::Type LevenbergMarquardt::minimize(Problem& P,
                                                    const EndCriteria& endCriteria) {
@@ -49,11 +52,10 @@ namespace QuantLib {
         std::unique_ptr<Real[]> fvec(new Real[m]);
         std::unique_ptr<Real[]> diag(new Real[n]);
         int mode = 1;
-        // magic number recommended by the documentation
-        Real factor = 100;
         // lmdif() evaluates cost function n+1 times for each iteration (technically, 2n+1
         // times if useCostFunctionsJacobian is true, but lmdif() doesn't account for that)
-        int maxfev = endCriteria.maxIterations() * (n + 1);
+        int maxfev =
+            adjustMaxIterationsForDimension_ ? endCriteria.maxIterations() * (n + 1) : endCriteria.maxIterations();
         int nprint = 0;
         int info = 0;
         int nfev = 0;
@@ -94,7 +96,7 @@ namespace QuantLib {
                        gtol_,
                        maxfev,
                        epsfcn_,
-                       diag.get(), mode, factor,
+                       diag.get(), mode, factor_,
                        nprint, &info, &nfev, fjac.get(),
                        ldfjac, ipvt.get(), qtf.get(),
                        wa1.get(), wa2.get(), wa3.get(), wa4.get(),
diff --git a/ql/math/optimization/levenbergmarquardt.hpp b/ql/math/optimization/levenbergmarquardt.hpp
index 219e70db7f2..becad22d571 100644
--- ql/math/optimization/levenbergmarquardt.hpp
+++ ql/math/optimization/levenbergmarquardt.hpp
@@ -51,7 +51,9 @@ namespace QuantLib {
         LevenbergMarquardt(Real epsfcn = 1.0e-8,
                            Real xtol = 1.0e-8,
                            Real gtol = 1.0e-8,
-                           bool useCostFunctionsJacobian = false);
+                           bool useCostFunctionsJacobian = false,
+                           Real factor = 1.0,
+                           bool adjustMaxIterationsForDimension = false);
         EndCriteria::Type minimize(Problem& P,
                                    const EndCriteria& endCriteria) override;
 
@@ -82,6 +84,8 @@ namespace QuantLib {
         mutable Integer info_ = 0; // remove together with getInfo
         const Real epsfcn_, xtol_, gtol_;
         const bool useCostFunctionsJacobian_;
+        const Real factor_;
+        const bool adjustMaxIterationsForDimension_;
     };
 
 }
diff --git a/ql/math/randomnumbers/primitivepolynomials.cpp b/ql/math/randomnumbers/primitivepolynomials.cpp
index d3652b9f2d8..8a329af32eb 100644
--- ql/math/randomnumbers/primitivepolynomials.cpp
+++ ql/math/randomnumbers/primitivepolynomials.cpp
@@ -1,14 +1,13 @@
 /* -*- mode: c; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
 
-/* This file contains 21200 polinomials, that is all primitive polynomials
-   modulo two up to degree 18. Another version does contain
-   8129334 polinomials, that is all primitive polynomials
-   modulo two up to degree 27. Both are slightly edited versions of
+/* This file contains 8129334 polynomials, that is all primitive polynomials
+   modulo two up to degree 27.
+
+   The polynomials up to degree 18 are taken from
    PrimitivePolynomialsModuloTwoUpToDegree27.c
 
    © 2002 "Monte Carlo Methods in Finance"
 
-
    =========================================================================
    Copyright (C) 2002 Peter Jäckel "Monte Carlo Methods in Finance".
    All rights reserved.
@@ -16,6 +15,9 @@
    Permission to use, copy, modify, and distribute this software is freely
    granted, provided that this notice is preserved.
    =========================================================================
+
+   The polynomials up to degree 27 were generated using
+   https://github.com/mhostetter/galois
 */
 
 #include <ql/math/randomnumbers/primitivepolynomials.hpp>
@@ -21309,8 +21311,810866 @@ static const long PrimitivePolynomialDegree18[]={
 -1 };
 #endif
 
-/* download the 8129334 polinomials version if you need higher dimensions */
+
 #if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_18
+static const long PrimitivePolynomialDegree19[]={
+19,31,35,41,44,49,55,62,73,87,
+112,161,176,181,186,194,206,208,214,217,
+223,227,230,239,261,265,268,274,280,295,
+296,309,310,321,322,331,336,400,419,436,
+439,463,466,468,484,491,493,494,505,539,
+552,570,575,580,584,602,604,617,620,654,
+661,668,672,681,687,696,699,724,733,744,
+747,750,757,762,764,772,776,793,800,805,
+806,815,818,835,837,862,865,872,883,886,
+906,925,930,932,939,962,968,974,1015,1022,
+1034,1039,1057,1058,1064,1077,1081,1099,1101,1116,
+1137,1138,1149,1173,1178,1184,1193,1194,1207,1214,
+1221,1250,1252,1264,1273,1288,1301,1306,1318,1324,
+1341,1353,1362,1368,1371,1392,1447,1448,1453,1466,
+1471,1498,1503,1524,1533,1534,1543,1564,1585,1586,
+1603,1615,1630,1639,1643,1651,1657,1673,1687,1704,
+1709,1729,1736,1741,1749,1759,1760,1763,1765,1770,
+1784,1787,1810,1812,1826,1828,1849,1858,1870,1882,
+1893,1900,1905,1908,1918,1921,1928,1939,1957,1964,
+1982,1984,2001,2011,2014,2017,2023,2029,2037,2038,
+2042,2071,2078,2087,2094,2108,2131,2137,2153,2162,
+2167,2195,2202,2204,2218,2220,2223,2228,2231,2237,
+2246,2249,2257,2279,2318,2332,2335,2339,2341,2345,
+2359,2363,2386,2391,2397,2398,2404,2408,2411,2442,
+2452,2461,2466,2478,2483,2485,2490,2498,2512,2524,
+2545,2548,2555,2564,2568,2573,2576,2586,2597,2615,
+2621,2648,2675,2687,2694,2698,2715,2731,2741,2751,
+2753,2759,2773,2778,2787,2789,2813,2822,2828,2850,
+2856,2861,2870,2874,2881,2884,2899,2902,2912,2915,
+2939,2986,2994,3003,3023,3031,3032,3042,3047,3048,
+3068,3073,3083,3110,3119,3124,3134,3153,3156,3160,
+3181,3184,3189,3199,3205,3223,3230,3236,3245,3260,
+3263,3265,3277,3286,3290,3302,3311,3314,3319,3323,
+3351,3352,3367,3374,3385,3405,3413,3414,3424,3434,
+3441,3448,3453,3463,3484,3505,3535,3547,3550,3554,
+3556,3599,3608,3638,3641,3644,3650,3656,3673,3683,
+3685,3700,3716,3725,3731,3734,3737,3743,3750,3764,
+3767,3771,3785,3786,3788,3793,3815,3821,3829,3854,
+3861,3865,3872,3882,3892,3896,3899,3914,3916,3921,
+3927,3944,3950,3952,3961,3964,3968,3997,4002,4011,
+4022,4031,4039,4054,4060,4074,4081,4087,4088,4102,
+4108,4116,4153,4173,4174,4182,4191,4197,4201,4204,
+4210,4222,4226,4252,4255,4271,4273,4283,4285,4291,
+4298,4311,4312,4328,4339,4341,4345,4353,4354,4356,
+4360,4371,4383,4389,4396,4399,4402,4413,4421,4426,
+4434,4455,4489,4490,4500,4504,4509,4528,4543,4558,
+4563,4565,4569,4572,4591,4605,4609,4621,4634,4643,
+4664,4670,4681,4684,4701,4708,4712,4742,4748,4756,
+4766,4769,4775,4796,4813,4828,4832,4838,4849,4850,
+4861,4864,4869,4900,4904,4917,4950,4965,4966,4969,
+4978,4980,4983,4990,4999,5006,5011,5027,5029,5034,
+5044,5048,5053,5056,5065,5074,5095,5099,5104,5109,
+5113,5119,5124,5131,5141,5142,5148,5151,5162,5169,
+5172,5176,5187,5194,5214,5223,5227,5248,5253,5263,
+5266,5271,5282,5293,5299,5313,5334,5353,5356,5361,
+5374,5376,5385,5393,5422,5424,5429,5430,5456,5496,
+5501,5517,5520,5535,5536,5541,5542,5545,5563,5585,
+5595,5598,5604,5608,5614,5628,5631,5638,5647,5666,
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+256925,256949,256971,256981,257016,257019,257024,257027,257030,257044,
+257058,257072,257077,257081,257087,257096,257102,257104,257107,257116,
+257153,257156,257174,257193,257196,257213,257221,257225,257233,257234,
+257240,257243,257269,257270,257274,257287,257293,257301,257302,257315,
+257322,257327,257336,257350,257354,257368,257378,257384,257408,257414,
+257437,257442,257459,257485,257504,257509,257513,257514,257522,257528,
+257534,257538,257552,257555,257562,257571,257580,257585,257592,257610,
+257634,257639,257645,257657,257664,257682,257694,257709,257724,257729,
+257730,257739,257750,257765,257766,257807,257809,257825,257831,257832,
+257835,257852,257858,257867,257870,257877,257878,257894,257908,257915,
+257921,257934,257941,257952,257957,257970,257976,257993,258011,258013,
+258017,258029,258032,258035,258041,258042,258052,258070,258074,258097,
+258127,258132,258145,258148,258152,258157,258163,258166,258206,258209,
+258210,258215,258234,258244,258247,258253,258254,258261,258271,258272,
+258289,258301,258304,258307,258314,258322,258327,258328,258355,258362,
+258364,258367,258381,258387,258406,258409,258415,258433,258434,258451,
+258453,258493,258502,258505,258506,258513,258520,258530,258550,258565,
+258569,258578,258587,258603,258611,258623,258632,258637,258646,258668,
+258690,258701,258704,258709,258716,258726,258740,258744,258755,258791,
+258800,258803,258809,258835,258847,258854,258860,258883,258885,258898,
+258904,258925,258931,258934,258938,258962,258968,258987,258992,258998,
+259001,259009,259022,259029,259055,259060,259064,259077,259089,259102,
+259118,259125,259129,259138,259149,259164,259171,259178,259188,259192,
+259208,259213,259219,259242,259249,259255,259262,259264,259276,259279,
+259282,259297,259298,259300,259318,259330,259339,259347,259354,259366,
+259372,259392,259410,259412,259419,259431,259435,259438,259445,259449,
+259452,259455,259459,259466,259468,259483,259489,259501,259509,259516,
+259524,259545,259552,259558,259567,259575,259579,259595,259598,259616,
+259619,259633,259634,259645,259672,259678,259696,259699,259706,259712,
+259745,259746,259766,259777,259780,259784,259790,259795,259797,259798,
+259813,259817,259820,259825,259857,259860,259885,259886,259893,259905,
+259906,259912,259932,259941,259965,259979,259981,259990,259994,259999,
+260005,260012,260018,260020,260023,260032,260042,260055,260071,260078,
+260090,260092,260101,260106,260129,260136,260142,260154,260179,260185,
+260186,260197,260210,260212,260225,260235,260238,260262,260268,260273,
+260288,260291,260297,260327,260356,260360,260383,260387,260393,260394,
+260396,260402,260408,260414,260416,260443,260446,260449,260452,260464,
+260470,260485,260490,260497,260500,260520,260526,260528,260533,260537,
+260566,260572,260579,260582,260591,260594,260612,260619,260630,260633,
+260645,260663,260667,260682,260696,260699,260705,260712,260725,260726,
+260739,260751,260756,260765,260781,260790,260793,260799,260801,260807,
+260811,260828,260852,260862,260879,260891,260897,260909,260912,260935,
+260963,260969,260970,260978,260983,260987,260990,261006,261008,261033,
+261039,261062,261068,261073,261076,261095,261099,261116,261121,261134,
+261136,261141,261155,261167,261172,261176,261201,261202,261204,261220,
+261223,261237,261241,261257,261265,261272,261288,261314,261323,261325,
+261334,261338,261350,261356,261364,261371,261386,261391,261405,261406,
+261409,261410,261419,261429,261434,261442,261451,261456,261462,261468,
+261471,261481,261499,261526,261535,261541,261559,261560,261577,261583,
+261597,261598,261622,261626,261638,261641,261656,261659,261692,261704,
+261712,261717,261731,261743,261748,261757,261758,261768,261776,261786,
+261791,261792,261804,261822,261827,261829,261841,261842,261847,261848,
+261869,261877,261920,261937,261938,261949,261958,261962,261964,261967,
+261969,261992,261995,261998,262003,262021,262034,262045,262052,262064,
+262084,262093,262108,262121,-1}; // degree 19, 27594 polynomials
+#endif
+
+#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_19
+static const long PrimitivePolynomialDegree20[]={
+4,41,50,52,61,121,179,182,191,199,
+223,273,276,280,348,409,425,428,439,481,
+506,511,529,578,587,608,611,614,628,644,
+661,719,758,761,770,789,796,810,824,829,
+859,878,889,906,923,932,956,1007,1019,1036,
+1044,1051,1057,1096,1101,1110,1119,1165,1177,1180,
+1190,1213,1222,1228,1239,1255,1262,1264,1284,1299,
+1306,1318,1321,1332,1347,1354,1368,1384,1402,1468,
+1473,1514,1516,1544,1591,1627,1693,1694,1744,1797,
+1816,1843,1845,1857,1875,1897,1903,1945,1957,1976,
+1993,2044,2084,2093,2096,2123,2126,2133,2177,2192,
+2207,2226,2252,2276,2291,2303,2306,2318,2329,2432,
+2437,2438,2500,2518,2522,2545,2622,2633,2700,2746,
+2760,2783,2826,2869,2908,2911,2927,2936,2957,2970,
+2972,2981,3003,3008,3031,3062,3073,3076,3080,3124,
+3136,3141,3190,3196,3200,3210,3229,3239,3245,3265,
+3278,3325,3355,3373,3386,3423,3429,3448,3487,3563,
+3580,3601,3624,3630,3638,3649,3667,3750,3773,3779,
+3829,3833,3847,3848,3872,3889,3890,3909,3924,3927,
+3998,4011,4070,4088,4125,4135,4162,4174,4201,4232,
+4243,4268,4273,4288,4303,4328,4339,4353,4366,4368,
+4399,4461,4480,4492,4497,4563,4585,4624,4633,4660,
+4678,4692,4741,4742,4745,4766,4769,4801,4807,4821,
+4855,4870,4873,4893,4917,4953,4954,4989,5000,5018,
+5051,5056,5079,5089,5124,5151,5204,5217,5218,5299,
+5301,5323,5325,5328,5350,5353,5371,5399,5462,5465,
+5472,5512,5520,5551,5595,5602,5638,5689,5695,5717,
+5755,5795,5816,5841,5863,5892,5907,5914,5929,5949,
+5950,5964,5988,6081,6087,6127,6135,6160,6188,6208,
+6223,6225,6232,6251,6277,6282,6296,6335,6340,6406,
+6430,6434,6478,6505,6506,6525,6529,6542,6570,6598,
+6607,6621,6625,6676,6680,6701,6702,6746,6755,6767,
+6782,6810,6822,6836,6846,6914,6943,6981,7049,7052,
+7067,7085,7088,7091,7097,7123,7135,7171,7191,7195,
+7233,7243,7264,7287,7315,7317,7338,7370,7396,7399,
+7408,7428,7437,7443,7466,7515,7533,7551,7558,7585,
+7586,7627,7654,7657,7735,7744,7747,7768,7774,7783,
+7808,7825,7844,7862,7874,7909,7928,7948,7954,7970,
+7979,8007,8026,8037,8080,8113,8145,8161,8181,8255,
+8284,8291,8297,8345,8358,8394,8399,8413,8444,8485,
+8515,8542,8545,8557,8575,8582,8600,8610,8621,8687,
+8732,8739,8763,8797,8798,8813,8816,8819,8862,8898,
+8900,8934,8969,8972,8996,9000,9014,9026,9035,9061,
+9071,9074,9102,9155,9169,9172,9179,9197,9229,9237,
+9265,9314,9323,9356,9374,9392,9401,9434,9463,9475,
+9508,9547,9550,9573,9613,9619,9691,9703,9718,9762,
+9776,9803,9805,9851,9875,9878,9882,9887,9932,9978,
+9992,9995,10000,10022,10026,10033,10039,10058,10077,10112,
+10121,10129,10178,10201,10213,10226,10271,10321,10343,10413,
+10421,10425,10431,10433,10453,10458,10479,10481,10488,10523,
+10564,10604,10694,10718,10727,10739,10764,10769,10791,10805,
+10812,10818,10868,10871,10875,10917,10918,10950,10964,11009,
+11027,11045,11106,11115,11129,11165,11189,11204,11214,11232,
+11324,11342,11349,11380,11394,11411,11417,11433,11447,11453,
+11454,11461,11502,11522,11567,11570,11590,11599,11607,11691,
+11749,11756,11761,11778,11787,11795,11801,11820,11823,11832,
+11837,11928,11950,12020,12030,12075,12090,12100,12103,12127,
+12138,12161,12164,12182,12186,12202,12215,12233,12236,12239,
+12242,12289,12316,12344,12347,12410,12433,12511,12539,12554,
+12556,12583,12607,12610,12624,12655,12658,12683,12698,12700,
+12707,12709,12714,12728,12736,12772,12775,12800,12812,12820,
+12843,12851,12901,12913,12919,12953,12978,12987,13004,13022,
+13026,13043,13045,13057,13087,13117,13171,13187,13202,13244,
+13259,13346,13351,13365,13398,13454,13468,13475,13510,13555,
+13576,13617,13624,13632,13677,13695,13741,13747,13749,13792,
+13798,13849,13862,13866,13876,13883,13894,13911,13918,13964,
+13967,13986,13988,14029,14051,14057,14097,14170,14224,14245,
+14312,14325,14332,14339,14348,14382,14455,14506,14576,14593,
+14611,14614,14636,14647,14661,14685,14686,14689,14696,14707,
+14723,14730,14737,14740,14743,14771,14777,14800,14819,14834,
+14845,14886,14898,14922,14935,14936,14945,14951,14958,14975,
+14985,14994,15022,15036,15048,15124,15181,15212,15239,15299,
+15301,15308,15344,15368,15398,15422,15448,15451,15470,15477,
+15518,15565,15636,15646,15669,15674,15702,15712,15751,15752,
+15813,15820,15823,15831,15835,15875,15890,15911,15925,15932,
+15937,15947,15952,15991,16032,16050,16052,16067,16094,16104,
+16144,16156,16177,16226,16250,16296,16314,16321,16328,16342,
+16376,16408,16411,16413,16429,16437,16455,16456,16474,16537,
+16553,16556,16562,16576,16581,16629,16642,16653,16665,16681,
+16707,16710,16752,16822,16825,16836,16845,16853,16860,16876,
+16881,16887,16934,16945,16951,16960,16970,16999,17014,17017,
+17029,17034,17054,17064,17099,17126,17140,17195,17223,17281,
+17302,17306,17321,17427,17449,17458,17470,17472,17481,17505,
+17526,17532,17556,17570,17589,17614,17642,17676,17698,17750,
+17756,17763,17770,17783,17805,17823,17833,17841,17844,17880,
+17943,17956,17997,18006,18021,18046,18050,18056,18064,18069,
+18085,18104,18110,18146,18165,18175,18195,18208,18226,18235,
+18288,18337,18361,18382,18390,18400,18406,18429,18439,18467,
+18499,18508,18520,18560,18572,18589,18608,18655,18673,18694,
+18697,18712,18733,18745,18748,18753,18773,18777,18820,18824,
+18827,18841,18847,18875,18890,18903,18931,18934,18956,18978,
+18984,18990,19010,19029,19069,19093,19113,19131,19134,19156,
+19166,19169,19214,19216,19256,19298,19317,19331,19333,19364,
+19405,19408,19485,19486,19499,19548,19551,19561,19576,19588,
+19609,19622,19640,19672,19687,19725,19738,19750,19776,19803,
+19806,19869,19911,19920,19930,19956,19972,19975,20003,20010,
+20055,20059,20171,20185,20207,20212,20289,20320,20326,20347,
+20414,20416,20450,20476,20506,20508,20517,20527,20535,20559,
+20564,20587,20607,20620,20631,20644,20653,20666,20709,20722,
+20784,20802,20807,20849,20886,20892,20914,20958,20985,21009,
+21016,21035,21067,21098,21146,21161,21170,21175,21201,21230,
+21242,21286,21300,21315,21351,21396,21447,21471,21472,21522,
+21569,21581,21593,21600,21643,21653,21684,21716,21742,21749,
+21768,21791,21872,21905,21911,21912,21917,21918,21939,21973,
+21974,22013,22054,22077,22098,22134,22138,22187,22277,22349,
+22358,22378,22404,22407,22414,22425,22442,22450,22497,22507,
+22524,22531,22533,22540,22552,22567,22576,22614,22644,22675,
+22697,22765,22792,22812,22846,22848,22863,22868,22905,22921,
+22939,22942,22952,22963,22978,22987,22998,23013,23017,23023,
+23026,23109,23202,23219,23225,23231,23240,23245,23254,23296,
+23316,23325,23421,23468,23474,23506,23548,23571,23607,23679,
+23704,23726,23737,23751,23755,23757,23776,23831,23832,23854,
+23871,23916,23937,23943,23952,23974,24009,24029,24036,24063,
+24082,24084,24087,24100,24208,24234,24259,24271,24313,24408,
+24438,24458,24537,24587,24623,24638,24658,24663,24700,24704,
+24713,24714,24719,24757,24784,24793,24829,24838,24844,24852,
+24880,24895,24927,25009,25044,25091,25100,25106,25112,25127,
+25156,25177,25189,25251,25290,25295,25309,25316,25357,25358,
+25376,25403,25417,25529,25543,25574,25577,25595,25643,25645,
+25648,25654,25680,25702,25741,25747,25766,25775,25801,25804,
+25809,25810,25819,25843,25869,25877,25908,25960,26002,26038,
+26070,26083,26114,26131,26147,26156,26193,26210,26233,26280,
+26315,26326,26335,26348,26354,26378,26407,26426,26436,26446,
+26454,26510,26565,26575,26593,26611,26647,26681,26696,26747,
+26768,26801,26804,26833,26846,26881,26912,26932,26980,27042,
+27100,27134,27257,27267,27276,27279,27293,27363,27387,27431,
+27457,27562,27587,27638,27641,27662,27715,27727,27741,27758,
+27763,27794,27806,27819,27834,27841,27844,27853,27884,27922,
+27957,27961,27969,27994,28012,28036,28045,28063,28082,28093,
+28099,28108,28113,28150,28165,28175,28193,28206,28228,28235,
+28238,28266,28323,28329,28338,28352,28358,28395,28406,28437,
+28441,28463,28478,28483,28500,28516,28574,28589,28602,28607,
+28627,28726,28738,28744,28767,28837,28867,28879,28935,28984,
+28987,29028,29050,29068,29116,29134,29148,29172,29179,29209,
+29216,29221,29228,29258,29271,29275,29284,29302,29322,29329,
+29332,29336,29355,29357,29395,29411,29437,29455,29517,29525,
+29548,29617,29620,29644,29649,29652,29666,29680,29690,29710,
+29712,29780,29796,29836,29847,29857,29864,29910,29957,29975,
+30018,30027,30032,30093,30130,30164,30177,30195,30207,30262,
+30344,30347,30349,30367,30395,30405,30439,30460,30471,30475,
+30478,30480,30486,30543,30545,30571,30610,30764,30776,30782,
+30789,30813,30817,30847,30868,30888,30901,30937,30944,30953,
+30976,31021,31029,31044,31059,31087,31106,31130,31168,31202,
+31222,31244,31275,31283,31295,31333,31364,31367,31382,31388,
+31421,31427,31464,31475,31481,31490,31525,31529,31532,31535,
+31550,31555,31562,31612,31619,31625,31633,31634,31681,31706,
+31717,31729,31754,31822,31833,31849,31864,31879,31914,31948,
+31963,31969,31970,32002,32025,32044,32052,32061,32137,32138,
+32181,32193,32269,32368,32380,32402,32462,32469,32480,32539,
+32548,32551,32578,32611,32632,32641,32651,32678,32714,32716,
+32727,32750,32783,32785,32801,32828,32836,32853,32857,32903,
+32952,32958,32966,32980,32989,32994,33011,33068,33086,33117,
+33152,33162,33175,33176,33248,33291,33378,33402,33437,33459,
+33473,33498,33500,33503,33527,33536,33545,33560,33565,33579,
+33590,33614,33619,33638,33665,33689,33708,33723,33740,33746,
+33796,33848,33874,33890,33896,33899,33914,33919,33930,33949,
+33959,33980,34000,34005,34026,34031,34034,34053,34128,34144,
+34201,34243,34260,34283,34300,34313,34334,34349,34375,34382,
+34387,34418,34502,34506,34561,34582,34592,34642,34669,34688,
+34804,34817,34837,34865,34872,34880,34895,34898,34995,35012,
+35058,35075,35089,35118,35123,35149,35161,35204,35207,35298,
+35309,35321,35334,35346,35364,35381,35391,35393,35400,35447,
+35457,35469,35481,35517,35518,35556,35559,35560,35573,35591,
+35600,35605,35631,35696,35718,35732,35742,35766,35769,35770,
+35775,35807,35818,35850,35873,35894,35905,35930,35969,35979,
+35984,36052,36152,36160,36200,36217,36218,36258,36263,36277,
+36320,36371,36414,36416,36440,36443,36514,36523,36533,36546,
+36565,36614,36641,36662,36686,36734,36743,36771,36774,36777,
+36806,36829,36853,36857,36880,36920,36931,36938,36940,36971,
+36976,37015,37021,37032,37040,37046,37057,37063,37082,37098,
+37112,37120,37163,37180,37191,37198,37239,37245,37246,37249,
+37250,37279,37307,37309,37342,37345,37512,37523,37530,37548,
+37566,37598,37626,37646,37651,37658,37669,37679,37681,37684,
+37688,37706,37723,37765,37783,37820,37823,37826,37837,37868,
+37879,37911,37918,37921,37931,37965,37994,38037,38065,38104,
+38188,38259,38266,38275,38278,38290,38308,38325,38332,38350,
+38374,38383,38385,38391,38413,38441,38479,38487,38491,38568,
+38585,38603,38614,38620,38634,38680,38709,38719,38724,38733,
+38751,38761,38810,38836,38882,38887,38911,38918,38929,39065,
+39071,39077,39116,39220,39266,39271,39272,39301,39326,39332,
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+503394,503414,503417,503434,503475,503482,503537,503588,503615,503663,
+503699,503717,503741,503764,503768,503773,503789,503790,503810,503834,
+503852,503860,503870,503875,503882,503890,503911,503966,503981,504002,
+504013,504098,504121,504169,504177,504213,504285,504310,504313,504326,
+504335,504356,504359,504403,504410,504428,504446,504450,504474,504512,
+504517,504521,504535,504551,504552,504583,504604,504611,504643,504652,
+504657,504686,504781,504823,504855,504877,504883,504900,504909,504928,
+504934,505004,505021,505048,505058,505067,505072,505092,505132,505137,
+505179,505182,505203,505210,505311,505318,505321,505332,505339,505363,
+505376,505413,505432,505438,505471,505472,505478,505492,505529,505600,
+505612,505634,505640,505643,505645,505678,505699,505708,505749,505753,
+505759,505763,505775,505832,505862,505909,505913,505924,505934,505976,
+506016,506034,506091,506106,506120,506123,506137,506200,506210,506230,
+506233,506236,506243,506245,506298,506326,506342,506345,506379,506389,
+506435,506492,506508,506581,506610,506616,506619,506639,506644,506678,
+506695,506699,506744,506749,506753,506768,506796,506804,506819,506821,
+506825,506839,506869,506887,506902,506912,506950,506962,506964,506978,
+506989,506995,507031,507041,507048,507054,507068,507088,507146,507187,
+507196,507208,507211,507231,507292,507311,507326,507371,507381,507392,
+507428,507437,507449,507457,507491,507512,507518,507533,507542,507551,
+507572,507596,507604,507614,507641,507673,507703,507712,507739,507770,
+507815,507819,507833,507848,507882,507889,507931,507944,507969,507975,
+508010,508012,508030,508053,508057,508064,508093,508113,508116,508139,
+508153,508173,508224,508264,508275,508282,508294,508317,508342,508348,
+508353,508363,508373,508387,508396,508413,508430,508457,508523,508547,
+508550,508556,508590,508601,508612,508615,508629,508636,508667,508708,
+508725,508737,508801,508802,508811,508837,508838,508882,508888,508900,
+508924,508950,508956,508970,508987,509016,509021,509022,509079,509089,
+509134,509142,509155,509157,509170,509176,509182,509255,509264,509314,
+509343,509364,509394,509421,509463,509498,509500,509529,509536,509542,
+509553,509624,509632,509637,509690,509707,509722,509724,509731,509743,
+509757,509770,509813,509836,509841,509847,509863,509870,509875,509887,
+509913,509932,509940,509943,509971,509990,510021,510026,510040,510074,
+510079,510080,510098,510151,510152,510182,510214,510220,510244,510309,
+510321,510386,510392,510405,510446,510460,510469,510488,510503,510541,
+510587,510593,510603,510627,510653,510659,510674,510752,510761,510832,
+510877,510882,510933,510950,510953,510959,510993,510996,511012,511015,
+511021,511047,511048,511096,511105,511120,511130,511171,511198,511207,
+511214,511222,511248,511253,511263,511273,511281,511319,511320,511360,
+511396,511408,511411,511423,511450,511473,511480,511490,511549,511561,
+511562,511591,511628,511669,511679,511682,511730,511749,511767,511812,
+511849,511855,511857,511876,511886,511900,511945,511954,511972,511987,
+511999,512022,512041,512091,512100,512109,512112,512133,512179,512203,
+512214,512220,512223,512248,512256,512279,512322,512333,512346,512370,
+512400,512412,512421,512505,512535,512539,512595,512604,512635,512644,
+512692,512709,512809,512841,512855,512868,512932,512968,512997,512998,
+513002,513072,513084,513110,513129,513201,513211,513239,513249,513261,
+513291,513354,513364,513371,513389,513408,513411,513431,513438,513491,
+513513,513519,513549,513561,513564,513603,513606,513615,513620,513629,
+513664,513694,513707,513718,513826,513835,513857,513864,513894,513905,
+513908,513924,513952,513972,513987,513993,514048,514053,514081,514084,
+514088,514094,514101,514102,514125,514134,514143,514144,514177,514192,
+514195,514223,514232,514269,514294,514353,514373,514383,514404,514449,
+514471,514498,514534,514568,514621,514636,514660,514675,514688,514705,
+514724,514777,514796,514804,514834,514839,514864,514955,515014,515020,
+515066,515114,515127,515154,515175,515193,515316,515338,515351,515361,
+515368,515371,515396,515399,515414,515439,515448,515470,515478,515497,
+515543,515553,515556,515578,515601,515664,515667,515685,515720,515734,
+515756,515776,515779,515781,515786,515788,515799,515816,515861,515878,
+515962,515986,516001,516019,516039,516046,516051,516069,516109,516128,
+516131,516166,516172,516180,516230,516244,516247,516267,516332,516355,
+516376,516379,516398,516430,516471,516478,516491,516542,516577,516584,
+516590,516648,516661,516668,516700,516721,516744,516762,516792,516823,
+516829,516833,516848,516851,516883,516906,516926,516928,516943,516948,
+517009,517015,517060,517069,517138,517149,517156,517168,517185,517216,
+517259,517283,517300,517315,517324,517336,517435,517464,517510,517570,
+517584,517603,517629,517681,517701,517705,517711,517716,517729,517747,
+517770,517838,517898,517915,517924,517960,518041,518042,518063,518090,
+518097,518125,518144,518153,518204,518222,518234,518257,518260,518269,
+518304,518316,518333,518336,518354,518366,518404,518413,518442,518447,
+518452,518481,518484,518487,518494,518498,518521,518522,518537,518558,
+518573,518614,518677,518698,518838,518842,518864,518870,518886,518915,
+518989,518990,519004,519017,519054,519071,519113,519116,519158,519167,
+519205,519227,519244,519268,519320,519332,519367,519371,519381,519386,
+519409,519482,519544,519554,519563,519583,519608,519645,519725,519731,
+519746,519752,519788,519805,519816,519850,519857,519881,519890,519892,
+519906,519915,519929,519935,519940,519967,519977,519985,520023,520034,
+520063,520070,520112,520141,520202,520267,520272,520278,520348,520351,
+520429,520432,520449,520456,520467,520476,520483,520495,520500,520515,
+520566,520606,520656,520678,520681,520684,520745,520763,520783,520791,
+520821,520861,520866,520928,520940,520945,520987,520989,521071,521092,
+521126,521138,521143,521155,521179,521192,521205,521215,521223,521230,
+521237,521238,521248,521253,521307,521313,521364,521377,521387,521446,
+521458,521464,521499,521517,521530,521547,521568,521573,521611,521626,
+521628,521644,521647,521664,521684,521717,521746,521755,521793,521799,
+521811,521827,521858,521878,521903,521925,521932,521937,521953,521959,
+521966,521971,521973,522081,522101,522108,522169,522175,522211,522213,
+522218,522220,522247,522251,522296,522307,522322,522347,522357,522368,
+522386,522391,522401,522408,522491,522494,522499,522526,522536,522549,
+522616,522665,522706,522731,522742,522798,522812,522841,522865,522905,
+522927,522941,522961,523004,523021,523022,523024,523046,523055,523058,
+523077,523130,523169,523199,523244,523259,523264,523267,523282,523332,
+523353,523389,523399,523406,523430,523524,523533,523557,523570,523599,
+523607,523611,523632,523635,523638,523665,523699,523706,523716,523728,
+523754,523762,523802,523835,523880,523885,523893,523903,523914,523961,
+523967,523979,524006,524023,524065,524090,524097,524104,524115,524118,
+524152,524167,524191,524202,524216,524219,524234,524263,524267,524284,
+-1}; // degree 20, 24000 polynomials
+#endif
+
+#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_20
+static const long PrimitivePolynomialDegree21[]={
+2,19,31,50,55,61,62,73,91,131,
+143,157,164,167,182,185,194,203,206,211,
+213,218,220,241,247,268,274,283,286,301,
+313,342,361,388,397,425,433,443,463,465,
+471,477,482,494,522,524,529,548,558,570,
+584,587,595,626,628,631,638,647,661,682,
+731,747,752,757,758,776,799,809,837,861,
+865,875,880,895,929,942,949,954,971,981,
+985,992,998,1001,1030,1033,1034,1063,1072,1089,
+1096,1099,1109,1116,1135,1144,1149,1178,1196,1202,
+1204,1216,1234,1267,1269,1279,1301,1302,1311,1315,
+1322,1327,1368,1387,1402,1420,1431,1438,1444,1453,
+1479,1480,1493,1503,1527,1550,1552,1561,1564,1574,
+1585,1603,1606,1617,1643,1648,1657,1674,1676,1703,
+1709,1729,1741,1759,1760,1802,1804,1807,1809,1832,
+1840,1860,1891,1912,1917,1948,2020,2024,2027,2071,
+2078,2082,2105,2106,2119,2138,2144,2147,2156,2161,
+2171,2180,2190,2197,2211,2218,2223,2252,2269,2270,
+2273,2279,2293,2298,2317,2356,2401,2404,2442,2461,
+2468,2478,2485,2489,2492,2503,2504,2510,2515,2522,
+2548,2552,2561,2564,2567,2601,2630,2651,2669,2672,
+2682,2694,2700,2727,2728,2731,2734,2739,2748,2801,
+2802,2825,2852,2876,2879,2924,2930,2941,2952,2955,
+2965,2969,2981,2986,2999,3011,3018,3032,3035,3056,
+3062,3079,3088,3094,3133,3142,3153,3159,3160,3170,
+3196,3200,3206,3223,3233,3236,3268,3320,3334,3343,
+3357,3373,3376,3391,3408,3411,3418,3427,3444,3454,
+3481,3487,3494,3518,3525,3529,3583,3599,3635,3642,
+3655,3659,3664,3670,3713,3716,3725,3726,3731,3743,
+3754,3776,3794,3799,3806,3812,3816,3819,3824,3830,
+3842,3854,3875,3896,3904,3907,3913,3940,3950,3961,
+3968,3992,4008,4036,4040,4043,4054,4069,4076,4079,
+4084,4114,4123,4147,4161,4164,4176,4204,4215,4219,
+4221,4231,4243,4259,4261,4305,4306,4315,4342,4378,
+4396,4407,4436,4443,4464,4473,4483,4485,4531,4540,
+4557,4558,4575,4610,4612,4639,4646,4663,4689,4690,
+4711,4712,4730,4751,4760,4763,4772,4789,4790,4796,
+4801,4802,4811,4814,4837,4842,4847,4855,4864,4870,
+4891,4894,4904,4918,4956,4959,4970,4984,4987,5006,
+5024,5030,5033,5042,5044,5085,5095,5099,5107,5113,
+5146,5169,5172,5181,5187,5190,5199,5202,5265,5266,
+5275,5281,5293,5308,5314,5328,5338,5344,5349,5362,
+5367,5373,5386,5396,5400,5422,5444,5451,5453,5456,
+5478,5496,5505,5517,5539,5546,5554,5583,5625,5631,
+5635,5678,5685,5692,5695,5703,5717,5731,5734,5758,
+5762,5764,5773,5779,5797,5807,5833,5847,5878,5892,
+5913,5930,5937,5955,5976,6016,6025,6031,6034,6036,
+6081,6084,6106,6115,6124,6129,6136,6139,6151,6157,
+6176,6199,6200,6213,6238,6242,6259,6266,6271,6312,
+6325,6338,6340,6347,6358,6386,6397,6405,6410,6451,
+6454,6458,6468,6475,6496,6501,6511,6525,6526,6570,
+6583,6595,6602,6612,6637,6638,6640,6665,6686,6689,
+6710,6714,6761,6775,6776,6786,6791,6797,6805,6815,
+6834,6836,6853,6865,6868,6887,6891,6894,6908,6920,
+6931,6937,6943,6967,6981,6988,6999,7000,7009,7029,
+7064,7079,7105,7118,7129,7139,7156,7165,7183,7185,
+7192,7201,7225,7245,7263,7279,7284,7288,7291,7310,
+7318,7327,7328,7337,7352,7358,7383,7403,7405,7411,
+7426,7432,7450,7452,7471,7480,7503,7508,7533,7534,
+7570,7598,7612,7615,7624,7629,7648,7657,7660,7675,
+7687,7701,7739,7767,7768,7777,7787,7808,7814,7823,
+7826,7828,7841,7844,7848,7865,7866,7873,7900,7914,
+7927,7936,7960,7963,7979,7993,8011,8014,8016,8026,
+8049,8061,8102,8119,8131,8138,8152,8168,8173,8191,
+8195,8201,8212,8221,8235,8238,8246,8258,8263,8277,
+8281,8294,8298,8303,8311,8318,8321,8352,8357,8364,
+8370,8379,8401,8420,8430,8438,8444,8464,8469,8473,
+8483,8489,8500,8504,8507,8522,8551,8560,8612,8624,
+8627,8662,8668,8689,8711,8715,8729,8739,8741,8756,
+8778,8795,8797,8814,8837,8842,8849,8856,8862,8878,
+8918,8933,8943,8946,8951,8966,8984,8994,9013,9018,
+9026,9028,9059,9071,9083,9096,9123,9129,9137,9150,
+9157,9167,9172,9182,9192,9220,9224,9253,9268,9292,
+9304,9313,9326,9331,9333,9350,9353,9371,9390,9392,
+9401,9404,9407,9419,9422,9436,9470,9478,9508,9517,
+9526,9529,9540,9568,9573,9591,9607,9616,9621,9628,
+9631,9632,9638,9649,9659,9676,9679,9687,9694,9715,
+9717,9721,9731,9752,9755,9768,9817,9833,9842,9847,
+9857,9881,9882,9900,9917,9929,9949,9959,9973,9991,
+10003,10005,10012,10021,10025,10039,10043,10060,10066,10088,
+10105,10118,10124,10129,10132,10136,10145,10146,10155,10169,
+10183,10190,10208,10218,10223,10253,10254,10265,10281,10289,
+10299,10301,10321,10324,10327,10328,10347,10350,10361,10373,
+10374,10395,10398,10408,10422,10426,10445,10451,10511,10535,
+10539,10550,10561,10576,10579,10602,10621,10628,10637,10655,
+10656,10661,10662,10674,10676,10691,10700,10715,10724,10748,
+10781,10792,10800,10823,10829,10865,10875,10887,10908,10912,
+10942,10944,10949,10950,10964,10971,10973,10978,10984,10989,
+11009,11016,11019,11029,11034,11043,11064,11081,11082,11090,
+11115,11132,11146,11148,11187,11202,11208,11244,11262,11276,
+11279,11304,11350,11354,11356,11359,11370,11390,11403,11413,
+11433,11453,11480,11489,11521,11536,11539,11542,11546,11572,
+11593,11602,11608,11624,11629,11642,11665,11668,11687,11691,
+11694,11701,11711,11720,11733,11747,11749,11750,11774,11783,
+11808,11813,11826,11855,11858,11860,11869,11898,11907,11919,
+11934,11937,11947,11981,11996,12010,12020,12024,12029,12032,
+12041,12062,12071,12083,12090,12097,12107,12112,12118,12121,
+12128,12162,12198,12207,12224,12234,12248,12272,12295,12304,
+12307,12309,12313,12314,12330,12335,12343,12349,12350,12362,
+12434,12439,12449,12456,12481,12488,12506,12518,12530,12542,
+12550,12559,12561,12584,12604,12610,12636,12667,12694,12703,
+12707,12713,12727,12745,12772,12779,12799,12800,12815,12817,
+12824,12843,12845,12889,12890,12901,12908,12919,12925,12939,
+12965,12972,12975,12987,13004,13016,13046,13050,13069,13077,
+13078,13094,13105,13106,13108,13123,13153,13171,13190,13196,
+13202,13211,13213,13220,13224,13227,13241,13256,13274,13317,
+13321,13330,13339,13363,13365,13378,13384,13392,13395,13398,
+13407,13417,13431,13435,13437,13454,13459,13465,13468,13482,
+13522,13531,13549,13550,13552,13558,13561,13569,13572,13581,
+13582,13587,13623,13624,13632,13647,13661,13706,13725,13726,
+13735,13762,13764,13785,13802,13807,13810,13819,13835,13846,
+13850,13855,13879,13897,13898,13924,13933,13934,13951,13958,
+13961,13969,13981,13988,13991,14000,14024,14053,14063,14078,
+14080,14089,14113,14114,14116,14125,14131,14152,14158,14176,
+14188,14203,14219,14246,14260,14264,14278,14305,14312,14315,
+14320,14342,14346,14348,14359,14375,14379,14393,14394,14414,
+14431,14432,14471,14477,14490,14492,14506,14508,14513,14523,
+14526,14555,14561,14579,14603,14606,14629,14648,14654,14671,
+14680,14690,14709,14710,14766,14780,14788,14795,14806,14809,
+14816,14828,14850,14869,14880,14918,14929,14942,14945,14970,
+14982,14994,15009,15033,15061,15066,15068,15071,15072,15110,
+15121,15138,15140,15149,15157,15167,15169,15176,15182,15193,
+15223,15233,15234,15245,15251,15269,15284,15296,15301,15314,
+15336,15342,15368,15381,15395,15404,15410,15429,15447,15454,
+15467,15469,15478,15481,15482,15498,15511,15518,15527,15534,
+15580,15583,15611,15643,15646,15661,15667,15670,15682,15717,
+15721,15739,15742,15746,15772,15791,15799,15808,15837,15842,
+15844,15877,15881,15884,15887,15906,15923,15926,15940,15968,
+16011,16014,16042,16047,16061,16084,16088,16098,16115,16121,
+16159,16172,16183,16192,16195,16238,16252,16255,16262,16266,
+16274,16304,16327,16346,16367,16369,16375,16376,16389,16399,
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+1043918,1043942,1043948,1043975,1043987,1043989,1044009,1044030,1044037,1044044,
+1044061,1044065,1044099,1044108,1044113,1044116,1044120,1044130,1044139,1044142,
+1044149,1044162,1044181,1044195,1044209,1044210,1044229,1044247,1044251,1044257,
+1044269,1044278,1044289,1044314,1044320,1044326,1044350,1044353,1044359,1044371,
+1044378,1044380,1044387,1044414,1044416,1044443,1044464,1044508,1044522,1044527,
+1044554,1044561,1044568,1044583,1044598,1044613,1044647,1044653,1044659,1044661,
+1044666,1044698,1044724,1044739,1044775,1044782,1044793,1044821,1044825,1044842,
+1044856,1044872,1044878,1044892,1044920,1044923,1044933,1044940,1044943,1044946,
+1044971,1044985,1044992,1044998,1045001,1045035,1045045,1045063,1045081,1045082,
+1045117,1045128,1045136,1045142,1045158,1045164,1045179,1045181,1045187,1045194,
+1045217,1045223,1045229,1045250,1045259,1045261,1045290,1045322,1045346,1045363,
+1045391,1045394,1045396,1045403,1045409,1045410,1045416,1045419,1045444,1045447,
+1045462,1045468,1045482,1045496,1045507,1045509,1045514,1045534,1045537,1045540,
+1045550,1045570,1045590,1045609,1045669,1045670,1045674,1045679,1045720,1045753,
+1045756,1045768,1045774,1045782,1045795,1045809,1045810,1045819,1045829,1045836,
+1045847,1045887,1045891,1045894,1045898,1045908,1045912,1045939,1045973,1045994,
+1046001,1046004,1046013,1046017,1046032,1046035,1046048,1046053,1046063,1046071,
+1046078,1046090,1046103,1046116,1046125,1046159,1046162,1046171,1046178,1046190,
+1046198,1046207,1046219,1046222,1046227,1046229,1046245,1046252,1046255,1046260,
+1046284,1046299,1046301,1046302,1046308,1046315,1046326,1046355,1046371,1046377,
+1046380,1046385,1046392,1046395,1046402,1046413,1046459,1046469,1046521,1046531,
+1046548,1046557,1046562,1046568,1046608,1046614,1046623,1046630,1046639,1046641,
+1046653,1046675,1046682,1046693,1046711,1046720,1046726,1046732,1046749,1046750,
+1046763,1046785,1046810,1046839,1046865,1046872,1046887,1046893,1046901,1046911,
+1046929,1046930,1046936,1046945,1046952,1046957,1046966,1046972,1046984,1046987,
+1046992,1047013,1047014,1047017,1047020,1047031,1047038,1047044,1047047,1047056,
+1047062,1047068,1047072,1047078,1047096,1047109,1047114,1047127,1047152,1047155,
+1047168,1047174,1047197,1047213,1047222,1047225,1047236,1047253,1047254,1047296,
+1047314,1047316,1047325,1047353,1047367,1047404,1047407,1047409,1047465,1047468,
+1047497,1047500,1047512,1047521,1047542,1047594,1047601,1047621,1047631,1047649,
+1047673,1047686,1047692,1047704,1047709,1047713,1047740,1047766,1047769,1047775,
+1047782,1047796,1047800,1047805,1047813,1047826,1047841,1047848,1047862,1047885,
+1047897,1047934,1047950,1047961,1047983,1048020,1048024,1048045,1048046,1048073,
+1048084,1048104,1048122,1048172,1048187,1048203,1048208,1048217,1048227,1048233,
+1048244,1048261,1048266,1048279,1048285,1048295,1048296,1048309,1048321,1048331,
+1048339,1048351,1048352,1048357,1048370,1048372,1048381,1048389,1048408,1048414,
+1048423,1048438,1048448,1048458,1048468,1048484,1048501,1048505,1048514,1048519,
+1048531,1048537,-1}; // degree 21, 84672 polynomials
+#endif
+
+#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_21
+static const long PrimitivePolynomialDegree22[]={
+1,28,94,97,148,176,185,199,217,248,
+273,307,342,346,386,392,421,436,448,475,
+487,491,493,521,569,580,626,647,653,671,
+675,701,707,710,716,733,779,781,818,837,
+856,865,877,920,949,959,962,995,1004,1021,
+1027,1044,1063,1075,1099,1113,1120,1123,1153,1183,
+1214,1222,1239,1245,1249,1250,1261,1274,1301,1308,
+1342,1354,1359,1390,1397,1398,1404,1417,1444,1453,
+1459,1462,1466,1471,1516,1519,1558,1571,1588,1610,
+1612,1615,1617,1639,1643,1669,1687,1691,1694,1704,
+1741,1770,1772,1778,1790,1798,1807,1809,1810,1821,
+1826,1855,1863,1870,1872,1875,1893,1957,1993,2001,
+2020,2030,2053,2102,2116,2137,2143,2150,2171,2183,
+2202,2204,2228,2237,2240,2283,2312,2336,2345,2359,
+2395,2419,2456,2461,2471,2472,2503,2509,2510,2538,
+2546,2552,2557,2624,2629,2712,2753,2768,2799,2859,
+2874,2894,2912,2929,2935,2948,2965,2969,3000,3018,
+3032,3038,3065,3074,3093,3098,3107,3127,3142,3145,
+3179,3205,3217,3223,3227,3246,3263,3265,3277,3280,
+3289,3302,3352,3368,3374,3406,3423,3433,3460,3478,
+3482,3515,3518,3529,3540,3550,3554,3556,3578,3594,
+3604,3613,3638,3649,3714,3723,3756,3759,3762,3779,
+3781,3829,3836,3853,3868,3875,3882,3899,3952,4016,
+4064,4073,4087,4116,4141,4216,4235,4238,4259,4265,
+4271,4322,4336,4354,4378,4399,4407,4414,4433,4446,
+4452,4455,4461,4474,4495,4504,4533,4540,4543,4555,
+4570,4572,4599,4609,4612,4650,4652,4670,4672,4715,
+4759,4766,4787,4811,4835,4849,4864,4867,4929,4959,
+4965,4980,4994,5029,5036,5041,5048,5053,5090,5113,
+5119,5122,5136,5145,5152,5172,5181,5201,5204,5207,
+5214,5224,5241,5253,5281,5333,5343,5382,5393,5410,
+5412,5429,5436,5465,5517,5523,5566,5591,5608,5621,
+5649,5655,5662,5666,5678,5683,5718,5727,5737,5743,
+5773,5781,5844,5851,5860,5875,5881,5899,5909,5925,
+5926,5944,5961,5995,5998,6016,6021,6026,6034,6040,
+6088,6099,6105,6130,6145,6175,6191,6206,6220,6289,
+6292,6299,6306,6308,6371,6400,6420,6429,6457,6486,
+6514,6519,6556,6607,6631,6635,6652,6661,6668,6686,
+6695,6710,6728,6731,6770,6781,6803,6805,6809,6851,
+6854,6865,6896,6902,6916,6926,6938,6954,6967,6971,
+6999,7016,7045,7046,7052,7115,7145,7177,7183,7207,
+7213,7288,7298,7309,7334,7365,7370,7378,7384,7393,
+7400,7414,7431,7476,7480,7493,7508,7552,7585,7597,
+7603,7610,7623,7642,7672,7694,7705,7718,7722,7732,
+7750,7771,7778,7797,7804,7847,7848,7859,7874,7876,
+7883,7913,7919,7939,7969,7989,8007,8025,8032,8047,
+8083,8099,8106,8113,8126,8133,8140,8162,8198,8209,
+8249,8277,8317,8327,8351,8384,8432,8450,8455,8464,
+8490,8497,8509,8512,8515,8536,8546,8569,8599,8612,
+8621,8678,8681,8692,8702,8732,8760,8792,8802,8821,
+8852,8927,8933,8938,8945,8987,9038,9045,9049,9050,
+9089,9096,9120,9140,9149,9169,9212,9230,9275,9289,
+9314,9316,9359,9383,9392,9395,9397,9419,9430,9446,
+9455,9464,9475,9525,9537,9540,9552,9558,9561,9580,
+9619,9637,9649,9656,9693,9703,9740,9768,9786,9805,
+9811,9823,9833,9854,9891,9908,9950,9954,9959,9973,
+9985,9995,9997,10006,10016,10051,10053,10101,10106,10160,
+10166,10195,10213,10223,10232,10237,10302,10347,10422,10434,
+10436,10443,10463,10508,10516,10525,10539,10564,10567,10591,
+10592,10595,10637,10643,10645,10646,10693,10694,10706,10717,
+10718,10721,10761,10791,10805,10851,10863,10872,10878,10881,
+10932,10939,10941,10953,10954,10980,11015,11019,11022,11033,
+11075,11095,11105,11129,11130,11166,11181,11184,11199,11222,
+11231,11242,11249,11250,11288,11294,11297,11310,11315,11347,
+11354,11369,11380,11408,11418,11434,11453,11454,11476,11492,
+11501,11502,11519,11528,11557,11561,11564,11584,11602,11604,
+11642,11672,11681,11726,11733,11737,11744,11747,11777,11778,
+11780,11808,11813,11837,11840,11843,11849,11850,11863,11879,
+11938,11950,11964,11969,11975,11982,11996,12023,12024,12038,
+12047,12080,12097,12100,12104,12109,12115,12137,12138,12158,
+12162,12171,12209,12216,12229,12234,12244,12247,12264,12267,
+12335,12337,12344,12358,12362,12372,12375,12392,12434,12439,
+12450,12456,12464,12479,12481,12502,12512,12522,12535,12624,
+12643,12669,12683,12710,12727,12739,12745,12748,12753,12759,
+12766,12810,12824,12858,12868,12875,12880,12905,12906,12920,
+12941,12947,12984,12997,13028,13032,13043,13050,13108,13111,
+13140,13156,13224,13237,13249,13250,13295,13335,13360,13369,
+13380,13390,13397,13413,13426,13442,13461,13478,13481,13528,
+13544,13579,13581,13612,13632,13649,13665,13668,13699,13711,
+13714,13720,13730,13739,13761,13767,13785,13795,13797,13798,
+13802,13821,13837,13850,13855,13859,13880,13888,13911,13922,
+13924,13942,13955,13962,14018,14065,14066,14075,14080,14090,
+14113,14125,14131,14148,14163,14166,14175,14176,14182,14229,
+14246,14292,14317,14320,14351,14353,14402,14407,14408,14428,
+14437,14442,14477,14489,14501,14555,14588,14596,14624,14630,
+14702,14743,14763,14765,14805,14806,14821,14834,14843,14855,
+14856,14890,14912,14921,14946,14951,14975,14986,15034,15048,
+15059,15078,15101,15114,15119,15121,15128,15144,15150,15157,
+15161,15301,15311,15319,15330,15339,15376,15385,15401,15433,
+15477,15478,15505,15506,15545,15553,15554,15566,15571,15616,
+15622,15628,15643,15656,15667,15674,15702,15712,15746,15751,
+15760,15765,15772,15803,15818,15828,15848,15859,15866,15925,
+15958,15961,15988,15991,16001,16002,16025,16047,16061,16070,
+16082,16149,16150,16170,16172,16177,16212,16226,16243,16268,
+16316,16324,16334,16345,16351,16369,16370,16387,16423,16456,
+16503,16509,16554,16556,16559,16561,16573,16593,16633,16671,
+16675,16677,16684,16704,16716,16722,16740,16747,16778,16780,
+16797,16819,16860,16874,16884,16893,16951,16958,16960,16963,
+16977,16996,17011,17051,17058,17060,17072,17078,17104,17109,
+17116,17125,17132,17135,17149,17158,17164,17185,17186,17197,
+17247,17265,17278,17294,17301,17305,17397,17434,17489,17511,
+17525,17526,17545,17546,17575,17601,17611,17644,17647,17662,
+17674,17722,17760,17784,17824,17842,17847,17879,17886,17892,
+17910,17913,17926,17974,18009,18022,18028,18033,18067,18070,
+18121,18124,18152,18157,18165,18189,18192,18197,18211,18217,
+18223,18235,18263,18273,18280,18288,18297,18300,18316,18331,
+18367,18375,18382,18390,18396,18424,18445,18451,18460,18474,
+18496,18511,18519,18553,18566,18594,18613,18666,18688,18705,
+18712,18799,18817,18851,18853,18868,18872,18886,18907,18923,
+18937,18944,18964,18978,18980,18995,19015,19030,19050,19058,
+19067,19070,19074,19086,19119,19124,19128,19187,19204,19222,
+19226,19244,19250,19287,19294,19328,19337,19364,19400,19403,
+19429,19441,19447,19462,19480,19502,19516,19524,19542,19545,
+19551,19552,19591,19597,19603,19616,19625,19628,19671,19696,
+19702,19711,19719,19728,19733,19761,19773,19786,19840,19849,
+19873,19879,19945,19975,19990,19999,20018,20047,20066,20078,
+20085,20089,20096,20114,20136,20147,20153,20161,20181,20186,
+20191,20202,20241,20244,20253,20302,20313,20340,20344,20402,
+20419,20439,20452,20455,20456,20474,20499,20532,20541,20544,
+20554,20574,20577,20595,20597,20608,20623,20651,20662,20683,
+20698,20700,20710,20733,20748,20821,20826,20835,20871,20878,
+20880,20899,20906,20925,20945,20948,20958,20986,21094,21111,
+21115,21117,21145,21148,21158,21162,21187,21194,21211,21232,
+21244,21256,21269,21285,21298,21304,21321,21342,21369,21379,
+21386,21388,21399,21406,21434,21436,21461,21472,21475,21531,
+21543,21612,21634,21645,21648,21651,21664,21682,21684,21687,
+21705,21723,21735,21741,21742,21749,21754,21774,21785,21788,
+21791,21821,21841,21881,21888,21893,21921,21980,21996,22011,
+22027,22054,22072,22078,22089,22114,22125,22144,22168,22171,
+22174,22177,22221,22258,22269,22270,22275,22332,22340,22358,
+22361,22374,22401,22428,22479,22484,22509,22534,22537,22591,
+22600,22614,22642,22663,22669,22737,22750,22766,22821,22853,
+22860,22875,22899,22906,22927,22957,22977,22990,23002,23023,
+23025,23053,23059,23075,23095,23099,23116,23133,23137,23158,
+23162,23185,23226,23239,23273,23281,23282,23314,23320,23350,
+23354,23371,23397,23407,23425,23426,23459,23503,23506,23517,
+23556,23573,23601,23602,23626,23639,23646,23655,23664,23676,
+23689,23700,23734,23738,23751,23758,23775,23776,23786,23814,
+23825,23844,23856,23861,23862,23865,23879,23898,23914,23933,
+23937,23944,23947,23968,23973,24005,24039,24076,24088,24098,
+24104,24115,24135,24139,24142,24149,24156,24160,24175,24178,
+24187,24199,24200,24205,24214,24220,24241,24271,24296,24328,
+24331,24362,24369,24375,24401,24411,24418,24429,24441,24453,
+24475,24513,24573,24601,24623,24631,24650,24669,24679,24688,
+24697,24704,24713,24737,24740,24776,24779,24781,24790,24794,
+24829,24835,24842,24849,24871,24890,24898,24955,24991,24997,
+25019,25022,25044,25064,25087,25088,25091,25094,25108,25115,
+25151,25189,25213,25238,25253,25263,25277,25316,25343,25351,
+25366,25376,25391,25396,25447,25487,25492,25502,25540,25543,
+25544,25586,25623,25646,25665,25672,25675,25723,25729,25735,
+25753,25772,25783,25795,25798,25802,25838,25877,25882,25887,
+25956,26007,26018,26044,26050,26064,26073,26095,26114,26120,
+26123,26150,26181,26188,26200,26209,26216,26221,26234,26249,
+26258,26274,26276,26283,26305,26348,26374,26397,26401,26411,
+26419,26458,26460,26491,26509,26575,26580,26584,26593,26613,
+26620,26627,26629,26641,26672,26681,26716,26730,26749,26796,
+26808,26846,26861,26870,26882,26894,26896,26935,26961,26983,
+27007,27018,27031,27041,27157,27203,27239,27240,27246,27258,
+27269,27273,27276,27287,27291,27335,27349,27440,27467,27484,
+27493,27545,27570,27596,27607,27611,27620,27623,27629,27635,
+27652,27655,27690,27698,27710,27769,27781,27799,27887,27901,
+27914,27922,27955,27972,27981,27987,28006,28015,28030,28057,
+28067,28149,28150,28156,28203,28246,28252,28279,28316,28330,
+28344,28347,28369,28372,28375,28391,28395,28398,28409,28417,
+28427,28432,28447,28460,28498,28503,28516,28520,28526,28583,
+28624,28636,28652,28672,28690,28696,28708,28725,28729,28737,
+28780,28783,28788,28797,28811,28841,28861,28881,28915,28922,
+28944,28956,28959,28989,28997,29004,29022,29065,29086,29114,
+29169,29175,29176,29198,29257,29263,29335,29351,29366,29372,
+29395,29438,29457,29470,29493,29520,29545,29553,29556,29563,
+29576,29589,29609,29618,29624,29632,29655,29659,29661,29677,
+29709,29727,29734,29748,29784,29793,29820,29827,29839,29842,
+29863,29867,29869,29870,29881,29890,29916,29930,29988,30006,
+30029,30038,30044,30094,30105,30122,30149,30167,30192,30259,
+30285,30297,30304,30309,30316,30331,30347,30385,30388,30409,
+30424,30468,30506,30519,30526,30546,30548,30561,30573,30598,
+30602,30607,30640,30751,30776,30789,30813,30814,30818,30881,
+30913,30938,30947,30961,30974,30986,30994,31015,31030,31108,
+31126,31159,31165,31168,31173,31186,31247,31272,31275,31283,
+31285,31303,31312,31331,31352,31355,31357,31373,31404,31444,
+31464,31507,31540,31562,31581,31595,31609,31615,31633,31646,
+31669,31679,31682,31696,31702,31712,31721,31732,31749,31801,
+31836,31839,31843,31858,31864,31874,31888,31913,31948,31960,
+31979,31987,32004,32052,32067,32081,32091,32131,32134,32145,
+32155,32162,32171,32218,32230,32239,32263,32270,32277,32278,
+32288,32368,32371,32404,32418,32424,32437,32441,32442,32461,
+32489,32509,32517,32521,32524,32551,32575,32587,32589,32595,
+32602,32608,32620,32666,32689,32721,32722,32728,32797,32804,
+32819,32826,32833,32839,32858,32891,32918,32921,32931,32946,
+32952,32955,32966,33000,33008,33018,33026,33035,33068,33071,
+33097,33121,33161,33188,33191,33205,33224,33241,33244,33254,
+33278,33306,33315,33321,33335,33350,33364,33377,33392,33474,
+33486,33497,33504,33569,33582,33590,33644,33672,33720,33762,
+33764,33771,33803,33823,33839,33868,33890,33950,33965,33968,
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+2077739,2077741,2077750,2077753,2077754,2077768,2077810,2077815,2077822,2077835,
+2077866,2077873,2077874,2077880,2077885,2077891,2077893,2077898,2077954,2078002,
+2078011,2078026,2078055,2078076,2078086,2078095,2078104,2078116,2078119,2078125,
+2078126,2078128,2078137,2078236,2078258,2078264,2078270,2078292,2078295,2078305,
+2078312,2078315,2078461,2078482,2078500,2078518,2078541,2078547,2078608,2078629,
+2078654,2078665,2078671,2078701,2078713,2078720,2078737,2078747,2078777,2078792,
+2078822,2078826,2078839,2078840,2078861,2078867,2078880,2078910,2078929,2078965,
+2078980,2078998,2079014,2079018,2079025,2079052,2079069,2079079,2079091,2079137,
+2079149,2079161,2079176,2079196,2079205,2079209,2079227,2079230,2079234,2079257,
+2079274,2079320,2079341,2079356,2079360,2079418,2079449,2079474,2079498,2079528,
+2079541,2079546,2079587,2079620,2079624,2079638,2079644,2079660,2079678,2079680,
+2079707,2079731,2079769,2079808,2079832,2079853,2079868,2079882,2079889,2079892,
+2079899,2079901,2079906,2079915,2079925,2079943,2079955,2079957,2079961,2079971,
+2079980,2079992,2080006,2080012,2080015,2080063,2080065,2080101,2080106,2080108,
+2080123,2080135,2080142,2080178,2080197,2080209,2080221,2080238,2080249,2080252,
+2080259,2080314,2080321,2080382,2080385,2080386,2080400,2080412,2080428,2080431,
+2080440,2080501,2080511,2080525,2080526,2080531,2080538,2080543,2080562,2080594,
+2080612,2080619,2080627,2080639,2080660,2080669,2080708,2080732,2080760,2080785,
+2080807,2080814,2080822,2080834,2080836,2080851,2080858,2080897,2080912,2080917,
+2080931,2080938,2080975,2080994,2081013,2081056,2081068,2081094,2081111,2081117,
+2081121,2081151,2081181,2081192,2081238,2081257,2081258,2081296,2081321,2081327,
+2081353,2081356,2081367,2081371,2081380,2081411,2081417,2081425,2081454,2081461,
+2081471,2081473,2081486,2081498,2081516,2081527,2081528,2081565,2081584,2081593,
+2081601,2081614,2081655,2081686,2081692,2081705,2081725,2081771,2081785,2081786,
+2081803,2081848,2081883,2081885,2081892,2081916,2081925,2081966,2081985,2082006,
+2082010,2082025,2082039,2082043,2082045,2082087,2082108,2082114,2082119,2082159,
+2082189,2082220,2082225,2082226,2082231,2082298,2082303,2082331,2082338,2082357,
+2082379,2082415,2082424,2082440,2082443,2082445,2082499,2082505,2082506,2082520,
+2082554,2082567,2082571,2082573,2082630,2082647,2082658,2082667,2082672,2082682,
+2082694,2082703,2082722,2082728,2082733,2082765,2082787,2082802,2082889,2082895,
+2082900,2082925,2082950,2082954,2082959,2082968,2082984,2082987,2082995,2083019,
+2083030,2083057,2083058,2083077,2083090,2083118,2083132,2083158,2083202,2083207,
+2083216,2083242,2083247,2083300,2083303,2083373,2083396,2083399,2083423,2083434,
+2083441,2083458,2083470,2083478,2083497,2083498,2083553,2083560,2083580,2083585,
+2083592,2083600,2083610,2083616,2083622,2083636,2083660,2083665,2083699,2083712,
+2083730,2083739,2083757,2083758,2083802,2083811,2083813,2083843,2083879,2083915,
+2083926,2083932,2083951,2083996,2084003,2084061,2084062,2084077,2084124,2084133,
+2084157,2084163,2084169,2084177,2084196,2084205,2084208,2084251,2084313,2084326,
+2084338,2084347,2084354,2084363,2084365,2084413,2084419,2084421,2084436,2084456,
+2084459,2084473,2084486,2084528,2084565,2084588,2084593,2084618,2084626,2084654,
+2084671,2084683,2084686,2084688,2084693,2084707,2084767,2084827,2084846,2084880,
+2084889,2084938,2084958,2084979,2084991,2085007,2085016,2085021,2085040,2085100,
+2085125,2085140,2085149,2085174,2085178,2085185,2085191,2085212,2085216,2085269,
+2085276,2085286,2085300,2085304,2085309,2085322,2085355,2085363,2085369,2085372,
+2085381,2085400,2085416,2085429,2085436,2085444,2085502,2085518,2085542,2085568,
+2085583,2085586,2085622,2085628,2085645,2085660,2085682,2085719,2085729,2085753,
+2085765,2085766,2085770,2085772,2085808,2085817,2085871,2085898,2085903,2085934,
+2085953,2086013,2086047,2086066,2086085,2086090,2086107,2086116,2086126,2086157,
+2086160,2086179,2086182,2086194,2086214,2086242,2086247,2086284,2086290,2086292,
+2086306,2086362,2086371,2086401,2086407,2086421,2086447,2086452,2086461,2086479,
+2086481,2086503,2086524,2086538,2086561,2086574,2086581,2086588,2086596,2086600,
+2086653,2086673,2086690,2086702,2086709,2086713,2086734,2086762,2086769,2086779,
+2086797,2086798,2086815,2086840,2086846,2086866,2086875,2086881,2086888,2086891,
+2086893,2086918,2086927,2086939,2086941,2087011,2087047,2087053,2087056,2087062,
+2087068,2087121,2087161,2087162,2087176,2087205,2087206,2087218,2087220,2087262,
+2087265,2087313,2087316,2087332,2087361,2087374,2087385,2087386,2087404,2087422,
+2087438,2087473,2087508,2087518,2087531,2087539,2087545,2087557,2087605,2087632,
+2087689,2087697,2087743,2087746,2087791,2087794,2087803,2087819,2087834,2087857,
+2087872,2087882,2087901,2087925,2087950,2087968,2087985,2087992,2087997,2088010,
+2088033,2088040,2088048,2088053,2088091,2088094,2088127,2088149,2088169,2088172,
+2088202,2088221,2088238,2088252,2088255,2088305,2088308,2088312,2088331,2088333,
+2088336,2088364,2088367,2088393,2088408,2088430,2088438,2088453,2088454,2088465,
+2088471,2088482,2088487,2088506,2088508,2088540,2088543,2088547,2088550,2088561,
+2088589,2088604,2088611,2088613,2088685,2088705,2088706,2088711,2088718,2088729,
+2088746,2088777,2088797,2088814,2088828,2088837,2088871,2088883,2088892,2088895,
+2088909,2088915,2088918,2088928,2088948,2088995,2089030,2089070,2089072,2089097,
+2089133,2089153,2089156,2089168,2089184,2089207,2089213,2089222,2089255,2089291,
+2089301,2089327,2089352,2089372,2089376,2089428,2089437,2089465,2089466,2089478,
+2089481,2089508,2089537,2089543,2089544,2089555,2089564,2089571,2089574,2089602,
+2089647,2089659,2089667,2089694,2089703,2089704,2089722,2089739,2089741,2089759,
+2089775,2089787,2089795,2089816,2089825,2089850,2089886,2089904,2089961,2089975,
+2089979,2090001,2090008,2090024,2090029,2090037,2090047,2090070,2090113,2090137,
+2090215,2090222,2090233,2090247,2090254,2090271,2090296,2090299,2090324,2090358,
+2090362,2090388,2090402,2090453,2090460,2090463,2090484,2090497,2090518,2090521,
+2090534,2090540,2090546,2090560,2090624,2090627,2090630,2090681,2090696,2090709,
+2090730,2090758,2090775,2090779,2090781,2090797,2090823,2090837,2090851,2090860,
+2090871,2090893,2090911,2090918,2090929,2090954,2090959,2090974,2090990,2091001,
+2091023,2091038,2091041,2091061,2091088,2091097,2091100,2091121,2091122,2091155,
+2091200,2091229,2091240,2091243,2091248,2091254,2091275,2091290,2091292,2091299,
+2091355,2091364,2091373,2091402,2091404,2091431,2091446,2091460,2091467,2091482,
+2091531,2091533,2091542,2091581,2091601,2091607,2091641,2091663,2091678,2091696,
+2091731,2091749,2091754,2091767,2091771,2091796,2091842,2091848,2091884,2091896,
+2091901,2091906,2091908,2091917,2091966,2091977,2091985,2092008,2092013,2092028,
+2092053,2092054,2092060,2092082,2092111,2092123,2092126,2092130,2092190,2092213,
+2092291,2092318,2092371,2092374,2092377,2092383,2092404,2092444,2092478,2092507,
+2092525,2092534,2092564,2092577,2092615,2092616,2092621,2092629,2092639,2092652,
+2092679,2092719,2092748,2092765,2092784,2092804,2092822,2092844,2092852,2092859,
+2092874,2092888,2092897,2092910,2092924,2092938,2092945,2092955,2092962,2092974,
+2092988,2092991,2093006,2093053,2093066,2093076,2093092,2093121,2093134,2093145,
+2093158,2093175,2093206,2093243,2093248,2093287,2093314,2093323,2093362,2093391,
+2093405,2093427,2093434,2093436,2093449,2093473,2093532,2093576,2093584,2093587,
+2093612,2093617,2093647,2093650,2093656,2093680,2093685,2093719,2093741,2093750,
+2093768,2093822,2093834,2093844,2093857,2093864,2093867,2093892,2093899,2093913,
+2093920,2093956,2093994,2094007,2094008,2094014,2094021,2094025,2094039,2094046,
+2094067,2094084,2094124,2094139,2094153,2094154,2094162,2094168,2094177,2094180,
+2094184,2094190,2094198,2094204,2094207,2094237,2094247,2094283,2094288,2094316,
+2094333,2094359,2094365,2094366,2094407,2094408,2094422,2094441,2094442,2094471,
+2094485,2094486,2094514,2094534,2094551,2094574,2094616,2094619,2094672,2094745,
+2094762,2094767,2094790,2094799,2094874,2094885,2094907,2094942,2094981,2094982,
+2094993,2095036,2095042,2095044,2095053,2095061,2095065,2095108,2095125,2095146,
+2095151,2095198,2095211,2095259,2095268,2095275,2095286,2095289,2095297,2095351,
+2095360,2095417,2095420,2095445,2095459,2095476,2095479,2095501,2095526,2095547,
+2095592,2095633,2095640,2095646,2095655,2095664,2095673,2095691,2095693,2095727,
+2095745,2095793,2095831,2095865,2095880,2095934,2095946,2095951,2095970,2096005,
+2096053,2096065,2096089,2096096,2096102,2096105,2096111,2096133,2096134,2096155,
+2096157,2096200,2096211,2096213,2096224,2096248,2096260,2096267,2096298,2096306,
+2096315,2096317,2096325,2096335,2096340,2096368,2096377,2096416,2096431,2096451,
+2096475,2096481,2096502,2096508,2096518,2096522,2096558,2096560,2096572,2096587,
+2096613,2096637,2096641,2096661,2096662,2096675,2096681,2096699,2096731,2096740,
+2096747,2096788,2096797,2096802,2096867,2096888,2096905,2096906,2096908,2096947,
+2096985,2096992,2097001,2097025,2097061,2097068,2097080,2097085,2097112,2097117,
+2097134,2097142,-1}; // degree 22, 120032 polynomials
+#endif
+
+#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_22
+static const long PrimitivePolynomialDegree23[]={
+16,21,22,25,31,38,50,59,67,69,
+76,81,94,98,121,124,151,157,173,176,
+179,193,196,251,256,271,274,292,295,299,
+301,310,316,327,328,348,367,375,385,403,
+406,416,434,465,466,472,478,502,518,532,
+552,583,608,623,659,661,672,695,722,724,
+738,752,776,782,815,817,832,861,866,877,
+878,886,889,905,906,913,923,959,976,986,
+1007,1010,1019,1021,1053,1054,1069,1087,1092,1101,
+1109,1110,1120,1123,1130,1156,1168,1180,1194,1202,
+1219,1221,1226,1239,1262,1281,1317,1321,1327,1332,
+1353,1354,1368,1383,1384,1389,1390,1395,1407,1411,
+1426,1437,1442,1456,1468,1473,1483,1486,1510,1519,
+1549,1557,1573,1592,1598,1609,1623,1629,1630,1636,
+1648,1670,1676,1679,1693,1697,1715,1717,1735,1739,
+1744,1750,1759,1766,1775,1780,1792,1795,1797,1819,
+1822,1832,1837,1846,1850,1875,1893,1906,1908,1934,
+1936,1939,1946,1964,1969,1981,1982,1987,1993,1999,
+2002,2029,2038,2047,2065,2066,2072,2075,2082,2084,
+2087,2094,2102,2133,2149,2167,2173,2180,2201,2202,
+2214,2217,2223,2228,2237,2240,2252,2258,2267,2306,
+2315,2318,2342,2345,2353,2365,2380,2383,2385,2408,
+2459,2461,2465,2472,2475,2477,2490,2497,2509,2531,
+2540,2552,2562,2571,2588,2598,2604,2615,2627,2641,
+2648,2684,2691,2712,2721,2724,2727,2733,2734,2746,
+2777,2789,2793,2845,2849,2855,2862,2867,2884,2891,
+2896,2922,2929,2932,2939,2941,2958,2975,2979,3026,
+3028,3035,3048,3056,3059,3066,3076,3088,3091,3104,
+3116,3119,3133,3166,3172,3175,3181,3199,3206,3209,
+3220,3224,3260,3271,3272,3283,3285,3292,3302,3340,
+3348,3393,3396,3420,3429,3467,3477,3497,3498,3508,
+3517,3550,3563,3568,3577,3607,3614,3620,3647,3650,
+3664,3680,3686,3692,3713,3714,3720,3731,3733,3747,
+3759,3764,3768,3774,3779,3793,3830,3833,3841,3877,
+3881,3895,3896,3919,3924,3937,3958,3961,3971,3991,
+3998,4014,4034,4036,4067,4070,4074,4084,4108,4129,
+4149,4153,4176,4185,4188,4195,4210,4219,4232,4238,
+4243,4293,4300,4324,4336,4342,4353,4366,4368,4373,
+4380,4387,4394,4426,4462,4473,4479,4480,4485,4525,
+4526,4543,4548,4563,4575,4582,4594,4605,4619,4636,
+4650,4687,4689,4706,4711,4718,4723,4725,4754,4759,
+4772,4776,4801,4814,4821,4826,4862,4864,4888,4893,
+4903,4907,4912,4927,4930,4947,4965,4966,4972,4984,
+4994,5014,5017,5023,5030,5033,5054,5059,5101,5110,
+5114,5121,5124,5139,5142,5146,5148,5162,5176,5199,
+5213,5220,5238,5254,5263,5271,5277,5278,5282,5305,
+5323,5334,5354,5359,5362,5371,5379,5400,5403,5430,
+5436,5439,5441,5442,5453,5472,5481,5484,5487,5492,
+5499,5511,5518,5529,5530,5541,5556,5621,5625,5647,
+5655,5665,5668,5683,5697,5700,5717,5718,5745,5764,
+5798,5809,5812,5816,5834,5841,5864,5875,5890,5896,
+5899,5925,5932,5938,5962,5988,6019,6022,6040,6061,
+6070,6073,6087,6091,6099,6106,6142,6145,6169,6182,
+6206,6217,6232,6251,6256,6261,6268,6272,6282,6290,
+6296,6308,6311,6323,6330,6344,6380,6383,6386,6410,
+6412,6417,6429,6443,6466,6478,6480,6496,6505,6513,
+6514,6516,6520,6535,6550,6556,6559,6565,6572,6577,
+6587,6615,6622,6625,6628,6640,6646,6666,6673,6674,
+6709,6719,6731,6734,6745,6748,6767,6769,6775,6795,
+6806,6810,6816,6836,6845,6860,6872,6878,6894,6899,
+6911,6914,6944,6968,6973,6979,6988,6993,7005,7006,
+7009,7015,7034,7036,7040,7045,7052,7058,7067,7070,
+7083,7098,7103,7117,7136,7145,7146,7171,7177,7178,
+7195,7201,7208,7222,7234,7245,7258,7263,7291,7294,
+7317,7333,7348,7351,7369,7389,7406,7417,7432,7443,
+7452,7459,7488,7517,7545,7557,7567,7572,7581,7582,
+7586,7591,7595,7600,7603,7605,7610,7620,7630,7641,
+7644,7647,7658,7672,7688,7691,7705,7730,7747,7753,
+7777,7783,7802,7818,7835,7844,7861,7873,7879,7910,
+7921,7927,7941,7942,7948,7959,7963,7969,7970,7979,
+7984,7987,8001,8014,8026,8028,8035,8041,8068,8075,
+8089,8111,8116,8125,8131,8148,8152,8157,8162,8168,
+8181,8188,8192,8232,8235,8237,8240,8249,8264,8269,
+8277,8278,8300,8306,8322,8336,8381,8387,8404,8408,
+8414,8450,8452,8464,8467,8480,8485,8510,8535,8576,
+8582,8585,8619,8636,8654,8659,8661,8668,8678,8695,
+8701,8711,8736,8745,8748,8760,8763,8774,8780,8786,
+8795,8801,8802,8819,8831,8837,8871,8878,8885,8889,
+8909,8912,8937,8938,8945,8963,8977,8984,8996,9006,
+9011,9020,9035,9065,9071,9076,9079,9090,9104,9114,
+9116,9123,9169,9179,9186,9198,9209,9215,9227,9229,
+9230,9265,9283,9285,9286,9300,9304,9309,9323,9328,
+9331,9356,9362,9401,9409,9439,9440,9458,9463,9470,
+9492,9496,9501,9511,9517,9520,9557,9571,9574,9583,
+9585,9592,9622,9625,9638,9644,9652,9687,9704,9734,
+9740,9743,9785,9799,9824,9827,9833,9863,9864,9870,
+9898,9905,9920,9932,9935,9949,9978,9986,9992,10000,
+10019,10021,10033,10039,10063,10066,10082,10091,10102,10148,
+10152,10157,10163,10165,10198,10202,10217,10228,10242,10256,
+10277,10281,10295,10299,10313,10316,10322,10328,10344,10357,
+10364,10368,10374,10385,10386,10397,10422,10425,10428,10448,
+10457,10460,10474,10484,10487,10494,10511,10516,10526,10559,
+10564,10567,10592,10597,10619,10638,10655,10659,10666,10673,
+10693,10698,10722,10741,10755,10812,10815,10818,10841,10848,
+10871,10875,10887,10891,10922,10927,10942,10947,10954,10989,
+10990,11012,11021,11030,11034,11050,11057,11070,11072,11092,
+11095,11105,11106,11135,11182,11207,11211,11232,11250,11273,
+11282,11284,11288,11293,11300,11303,11327,11329,11344,11354,
+11377,11400,11411,11423,11433,11436,11442,11451,11473,11496,
+11502,11509,11516,11533,11542,11545,11552,11555,11576,11589,
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+4174211,4174225,4174242,4174244,4174251,4174256,4174271,4174273,4174279,4174283,
+4174310,4174334,4174343,4174349,4174357,4174358,4174371,4174386,4174392,4174398,
+4174429,4174433,4174443,4174448,4174451,4174457,4174463,4174467,4174476,4174481,
+4174488,4174517,4174532,4174553,4174559,4174560,4174566,4174597,4174610,4174619,
+4174631,4174637,4174667,4174681,4174682,4174706,4174739,4174741,4174746,4174762,
+4174764,4174772,4174790,4174793,4174829,4174873,4174876,4174883,4174895,4174897,
+4174924,4174958,4174976,4174985,4175003,4175021,4175034,4175047,4175053,4175059,
+4175062,4175081,4175089,4175090,4175102,4175104,4175124,4175131,4175140,4175147,
+4175149,4175161,4175164,4175170,4175179,4175223,4175224,4175230,4175245,4175264,
+4175276,4175291,4175301,4175319,4175332,4175342,4175347,4175356,4175366,4175372,
+4175375,4175390,4175394,4175449,4175459,4175462,4175466,4175480,4175495,4175519,
+4175520,4175523,4175525,4175532,4175547,4175552,4175557,4175575,4175606,4175623,
+4175624,4175653,4175658,4175663,4175683,4175690,4175726,4175733,4175734,4175761,
+4175762,4175768,4175784,4175830,4175860,4175903,4175913,4175916,4175931,4175939,
+4175941,4175945,4175946,4175948,4175981,4175989,4175999,4176015,4176017,4176027,
+4176034,4176048,4176057,4176066,4176072,4176075,4176085,4176089,4176101,4176106,
+4176108,4176113,4176116,4176134,4176148,4176155,4176157,4176179,4176182,4176214,
+4176234,4176241,4176248,4176260,4176270,4176284,4176335,4176337,4176349,4176360,
+4176363,4176366,4176371,4176389,4176394,4176411,4176429,4176430,4176437,4176447,
+4176456,4176492,4176498,4176500,4176531,4176540,4176547,4176573,4176576,4176586,
+4176596,4176600,4176630,4176662,4176689,4176699,4176719,4176722,4176724,4176734,
+4176747,4176792,4176797,4176811,4176814,4176816,4176828,4176836,4176843,4176845,
+4176854,4176893,4176902,4176906,4176942,4176956,4176959,4176961,4176962,4176967,
+4176988,4177015,4177016,4177021,4177035,4177040,4177049,4177055,4177071,4177079,
+4177093,4177105,4177121,4177133,4177148,4177156,4177163,4177165,4177166,4177184,
+4177193,4177202,4177219,4177221,4177262,4177264,4177269,4177273,4177276,4177313,
+4177331,4177343,4177352,4177370,4177375,4177385,4177393,4177403,4177419,4177427,
+4177429,4177455,4177463,4177464,4177469,4177472,4177536,4177539,4177563,4177566,
+4177569,4177575,4177604,4177608,4177619,4177625,4177637,4177662,4177667,4177681,
+4177684,4177688,4177693,4177694,4177715,4177721,4177744,4177766,4177777,4177793,
+4177813,4177820,4177841,4177842,4177851,4177861,4177883,4177885,4177890,4177913,
+4177919,4177921,4177934,4177939,4177941,4177957,4177964,4177984,4177990,4177999,
+4178032,4178058,4178071,4178106,4178128,4178131,4178134,4178138,4178153,4178167,
+4178173,4178179,4178182,4178196,4178210,4178215,4178224,4178234,4178242,4178254,
+4178265,4178308,4178359,4178388,4178398,4178401,4178402,4178411,4178413,4178416,
+4178435,4178450,4178456,4178461,4178489,4178495,4178498,4178533,4178538,4178545,
+4178551,4178552,4178576,4178585,4178592,4178597,4178627,4178629,4178633,4178663,
+4178669,4178670,4178701,4178704,4178723,4178729,4178740,4178747,4178749,4178758,
+4178762,4178767,4178769,4178775,4178782,4178785,4178791,4178798,4178800,4178805,
+4178809,4178810,4178816,4178821,4178822,4178852,4178867,4178879,4178887,4178893,
+4178921,4178935,4178947,4178961,4178998,4179004,4179034,4179039,4179067,4179069,
+4179098,4179100,4179109,4179110,4179114,4179127,4179145,4179153,4179154,4179219,
+4179231,4179235,4179249,4179262,4179264,4179297,4179300,4179321,4179343,4179352,
+4179357,4179367,4179368,4179376,4179406,4179414,4179424,4179427,4179434,4179444,
+4179488,4179497,4179500,4179543,4179556,4179580,4179590,4179593,4179601,4179630,
+4179669,4179674,4179676,4179690,4179695,4179704,4179724,4179732,4179755,4179757,
+4179763,4179783,4179795,4179797,4179798,4179838,4179851,4179853,4179862,4179865,
+4179872,4179875,4179878,4179882,4179892,4179909,4179914,4179919,4179927,4179944,
+4179955,4179974,4179980,4179991,4179998,4180016,4180021,4180034,4180043,4180054,
+4180057,4180081,4180082,4180091,4180133,4180137,4180140,4180145,4180152,4180169,
+4180172,4180180,4180211,4180217,4180225,4180232,4180238,4180240,4180243,4180262,
+4180266,4180288,4180306,4180312,4180315,4180324,4180341,4180375,4180406,4180420,
+4180435,4180448,4180475,4180477,4180482,4180487,4180496,4180502,4180511,4180522,
+4180547,4180556,4180568,4180574,4180578,4180587,4180608,4180617,4180620,4180628,
+4180665,4180666,4180685,4180698,4180714,4180779,4180781,4180782,4180789,4180801,
+4180811,4180816,4180825,4180826,4180828,4180842,4180852,4180865,4180901,4180908,
+4180919,4180923,4180926,4180928,4180940,4180961,4180967,4181006,4181014,4181018,
+4181023,4181024,4181036,4181061,4181065,4181074,4181079,4181085,4181086,4181101,
+4181104,4181107,4181110,4181113,4181154,4181159,4181163,4181177,4181188,4181206,
+4181209,4181226,4181234,4181243,4181281,4181288,4181294,4181301,4181302,4181311,
+4181314,4181320,4181328,4181343,4181356,4181371,4181392,4181397,4181411,4181413,
+4181414,4181423,4181431,4181440,4181476,4181479,4181485,4181486,4181509,4181522,
+4181540,4181572,4181660,4181663,4181693,4181702,4181708,4181713,4181716,4181725,
+4181729,4181730,4181742,4181749,4181754,4181762,4181773,4181785,4181792,4181797,
+4181810,4181827,4181829,4181841,4181848,4181870,4181877,4181908,4181915,4181917,
+4181931,4181933,4181942,4181960,4181987,4181999,4182008,4182013,4182014,4182025,
+4182045,4182062,4182073,4182087,4182088,4182091,4182101,4182127,4182169,4182175,
+4182176,4182196,4182211,4182226,4182254,4182266,4182285,4182286,4182297,4182313,
+4182331,4182348,4182356,4182365,4182379,4182382,4182400,4182423,4182427,4182429,
+4182463,4182486,4182495,4182501,4182505,4182544,4182595,4182612,4182645,4182649,
+4182655,4182661,4182665,4182673,4182680,4182683,4182689,4182692,4182736,4182746,
+4182757,4182764,4182770,4182775,4182799,4182808,4182817,4182818,4182832,4182835,
+4182837,4182861,4182862,4182864,4182870,4182909,4182916,4182920,4182938,4182947,
+4182949,4182953,4182961,4182971,4182988,4182991,4182999,4183009,4183010,4183016,
+4183019,4183024,4183030,4183081,4183087,4183090,4183099,4183114,4183155,4183177,
+4183185,4183195,4183211,4183231,4183239,4183257,4183270,4183276,4183281,4183294,
+4183302,4183314,4183316,4183326,4183329,4183347,4183353,4183382,4183404,4183410,
+4183416,4183426,4183449,4183455,4183456,4183465,4183474,4183485,4183491,4183512,
+4183517,4183518,4183527,4183534,4183536,4183539,4183546,4183552,4183575,4183582,
+4183591,4183592,4183597,4183606,4183615,4183618,4183627,4183629,4183657,4183682,
+4183699,4183722,4183724,4183747,4183750,4183773,4183787,4183789,4183804,4183809,
+4183836,4183858,4183864,4183872,4183877,4183881,4183887,4183899,4183905,4183906,
+4183912,4183926,4183956,4183965,4183976,4183989,4183994,4184004,4184025,4184031,
+4184035,4184041,4184042,4184050,4184066,4184068,4184078,4184092,4184116,4184123,
+4184143,4184151,4184152,4184167,4184176,4184207,4184210,4184221,4184222,4184243,
+4184246,4184257,4184270,4184275,4184278,4184288,4184291,4184297,4184298,4184315,
+4184335,4184338,4184347,4184356,4184373,4184386,4184400,4184412,4184445,4184449,
+4184456,4184470,4184474,4184495,4184498,4184500,4184515,4184524,4184545,4184572,
+4184588,4184600,4184605,4184616,4184622,4184642,4184661,4184671,4184678,4184689,
+4184696,4184699,4184705,4184712,4184726,4184730,4184739,4184745,4184753,4184754,
+4184773,4184788,4184798,4184808,4184825,4184867,4184876,4184879,4184884,4184893,
+4184899,4184905,4184906,4184916,4184944,4184950,4184953,4184965,4184978,4184983,
+4184993,4184996,4185062,4185068,4185071,4185094,4185100,4185111,4185122,4185131,
+4185151,4185156,4185160,4185165,4185183,4185184,4185207,4185241,4185244,4185248,
+4185285,4185295,4185303,4185320,4185333,4185345,4185370,4185375,4185406,4185413,
+4185417,4185432,4185435,4185447,4185453,4185461,4185462,4185466,4185472,4185481,
+4185490,4185511,4185529,4185544,4185547,4185552,4185555,4185561,4185571,4185588,
+4185591,4185621,4185628,4185631,4185632,4185637,4185641,4185655,4185676,4185679,
+4185700,4185718,4185734,4185743,4185788,4185794,4185820,4185841,4185848,4185896,
+4185901,4185919,4185921,4185931,4185933,4185957,4185961,4185972,4185982,4185985,
+4186010,4186019,4186026,4186033,4186046,4186048,4186065,4186072,4186084,4186105,
+4186117,4186121,4186151,4186166,4186172,4186175,4186177,4186180,4186195,4186202,
+4186208,4186235,4186259,4186265,4186307,4186314,4186319,4186331,4186338,4186349,
+4186376,4186389,4186399,4186409,4186423,4186455,4186462,4186465,4186477,4186486,
+4186489,4186508,4186513,4186573,4186585,4186607,4186625,4186626,4186646,4186661,
+4186671,4186674,4186679,4186683,4186691,4186693,4186705,4186711,4186712,4186718,
+4186721,4186727,4186728,4186751,4186767,4186772,4186798,4186800,4186805,4186809,
+4186817,4186818,4186860,4186865,4186871,4186880,4186907,4186909,4186910,4186920,
+4186925,4186928,4186937,4186945,4186963,4186970,4186972,4186975,4186986,4187006,
+4187015,4187021,4187022,4187029,4187039,4187040,4187049,4187055,4187060,4187102,
+4187123,4187125,4187129,4187155,4187161,4187174,4187191,4187209,4187218,4187254,
+4187260,4187273,4187281,4187288,4187297,4187310,4187318,4187327,4187330,4187354,
+4187372,4187378,4187383,4187389,4187397,4187404,4187416,4187426,4187435,4187467,
+4187481,4187494,4187497,4187505,4187506,4187508,4187521,4187548,4187552,4187557,
+4187561,4187576,4187624,4187635,4187651,4187658,4187677,4187684,4187720,4187749,
+4187756,4187759,4187768,4187777,4187780,4187784,4187837,4187849,4187857,4187870,
+4187876,4187885,4187891,4187908,4187915,4187932,4187935,4187954,4187973,4187978,
+4188001,4188007,4188019,4188026,4188028,4188041,4188047,4188052,4188062,4188065,
+4188072,4188089,4188090,4188095,4188146,4188151,4188168,4188182,4188188,4188209,
+4188215,4188222,4188230,4188236,4188244,4188251,4188258,4188267,4188287,4188291,
+4188311,4188312,4188317,4188334,4188339,4188368,4188373,4188402,4188413,4188419,
+4188425,4188439,4188476,4188491,4188496,4188499,4188505,4188512,4188539,4188542,
+4188579,4188581,4188596,4188617,4188626,4188677,4188699,4188708,4188715,4188723,
+4188737,4188743,4188750,4188757,4188758,4188778,4188780,4188785,4188791,4188795,
+4188813,4188814,4188816,4188838,4188876,4188881,4188907,4188912,4188917,4188924,
+4188947,4188953,4188965,4188966,4188989,4188995,4188997,4189032,4189037,4189043,
+4189071,4189092,4189095,4189109,4189136,4189162,4189167,4189172,4189175,4189199,
+4189201,4189208,4189230,4189232,4189242,4189273,4189286,4189297,4189300,4189304,
+4189309,4189326,4189334,4189340,4189343,4189356,4189362,4189391,4189430,4189442,
+4189447,4189456,4189468,4189489,4189507,4189531,4189538,4189558,4189571,4189577,
+4189578,4189580,4189585,4189595,4189598,4189604,4189607,4189613,4189621,4189626,
+4189633,4189640,4189669,4189684,4189691,4189700,4189703,4189721,4189728,4189746,
+4189748,4189765,4189784,4189793,4189794,4189806,4189808,4189813,4189829,4189839,
+4189844,4189847,4189882,4189887,4189896,4189902,4189910,4189916,4189923,4189938,
+4189944,4189961,4189979,4189986,4189995,4190006,4190015,4190018,4190023,4190032,
+4190053,4190058,4190082,4190111,4190112,4190141,4190168,4190177,4190180,4190189,
+4190198,4190204,4190207,4190216,4190230,4190239,4190263,4190269,4190277,4190284,
+4190290,4190311,4190318,4190323,4190332,4190339,4190346,4190372,4190379,4190390,
+4190393,4190419,4190421,4190437,4190438,4190447,4190455,4190456,4190464,4190476,
+4190484,4190494,4190500,4190504,4190507,4190509,4190535,4190541,4190554,4190559,
+4190565,4190577,4190583,4190614,4190623,4190679,4190680,4190689,4190696,4190714,
+4190730,4190732,4190744,4190753,4190765,4190771,4190783,4190797,4190822,4190834,
+4190839,4190845,4190855,4190859,4190873,4190890,4190892,4190909,4190912,4190955,
+4190958,4190969,4190990,4190997,4191017,4191025,4191055,4191060,4191074,4191080,
+4191110,4191164,4191172,4191193,4191199,4191209,4191227,4191235,4191241,4191261,
+4191271,4191303,4191307,4191312,4191315,4191338,4191343,4191361,4191368,4191385,
+4191419,4191442,4191463,4191475,4191477,4191530,4191547,4191549,4191557,4191569,
+4191592,4191598,4191612,4191621,4191636,4191652,4191688,4191702,4191736,4191751,
+4191760,4191793,4191806,4191825,4191826,4191847,4191853,4191854,4191871,4191877,
+4191884,4191899,4191908,4191926,4191937,4191940,4191952,4191983,4191988,4192005,
+4192012,4192030,4192039,4192040,4192060,4192077,4192086,4192096,4192111,4192120,
+4192135,4192136,4192141,4192160,4192163,4192169,4192178,4192207,4192210,4192232,
+4192235,4192237,4192250,4192256,4192271,4192279,4192286,4192304,4192351,4192355,
+4192364,4192370,4192382,4192386,4192391,4192398,4192436,4192451,4192458,4192460,
+4192468,4192472,4192477,4192488,4192491,4192496,4192514,4192525,4192528,4192531,
+4192559,4192585,4192586,4192594,4192606,4192627,4192640,4192646,4192657,4192674,
+4192683,4192686,4192703,4192712,4192718,4192732,4192751,4192756,4192759,4192760,
+4192769,4192775,4192789,4192817,4192818,4192844,4192847,4192866,4192877,4192883,
+4192895,4192901,4192916,4192926,4192944,4192947,4192954,4192967,4192971,4192976,
+4192981,4192992,4192995,4193007,4193009,4193012,4193024,4193029,4193033,4193034,
+4193057,4193063,4193070,4193082,4193087,4193096,4193114,4193119,4193149,4193159,
+4193163,4193189,4193190,4193214,4193219,4193234,4193243,4193250,4193252,4193259,
+4193262,4193284,4193293,4193305,4193315,4193327,4193329,4193350,4193378,4193404,
+4193414,4193423,4193456,4193493,4193504,4193514,4193516,4193522,4193527,4193531,
+4193553,4193554,4193560,4193575,4193579,4193581,4193589,4193596,4193601,4193614,
+4193619,4193621,4193638,4193644,4193656,4193680,4193690,4193702,4193719,4193723,
+4193726,4193731,4193755,4193761,4193781,4193788,4193791,4193802,4193812,4193815,
+4193821,4193825,4193838,4193858,4193863,4193870,4193877,4193881,4193898,4193912,
+4193917,4193928,4193934,4193939,4193941,4193946,4193976,4193984,4193989,4193993,
+4194004,4194020,4194024,4194035,4194038,4194042,4194050,4194056,4194059,4194062,
+4194073,4194076,4194083,4194085,4194086,4194103,4194104,4194118,4194146,4194148,
+4194175,4194179,4194185,4194199,4194200,4194221,4194222,4194230,4194271,4194302,
+-1}; // degree 23, 356960 polynomials
+#endif
+
+#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_23
+static const long PrimitivePolynomialDegree24[]={
+13,67,88,109,122,146,191,218,229,274,
+296,299,310,433,436,471,481,487,505,524,
+545,548,701,809,837,862,935,936,967,1042,
+1051,1058,1067,1102,1107,1150,1153,1246,1261,1270,
+1287,1312,1315,1341,1373,1401,1408,1423,1428,1435,
+1442,1444,1448,1466,1494,1514,1538,1555,1646,1663,
+1691,1717,1766,1769,1775,1780,1802,1840,1881,1887,
+1941,1982,2014,2020,2054,2071,2131,2147,2214,2257,
+2263,2279,2291,2300,2315,2326,2363,2419,2552,2558,
+2595,2622,2721,2727,2731,2756,2773,2869,2893,2951,
+2960,2991,3005,3121,3122,3139,3165,3187,3301,3348,
+3362,3393,3436,3448,3458,3472,3478,3537,3550,3573,
+3590,3594,3608,3617,3652,3686,3754,3762,3767,3774,
+3839,3856,3933,4028,4076,4101,4173,4204,4268,4312,
+4408,4422,4443,4452,4467,4470,4572,4600,4624,4649,
+4705,4723,4732,4770,4779,4811,4894,4909,4949,5014,
+5024,5039,5061,5066,5089,5107,5136,5190,5202,5218,
+5275,5362,5373,5399,5489,5501,5525,5526,5532,5535,
+5597,5622,5638,5666,5686,5704,5715,5722,5740,5785,
+5792,5821,5916,5955,6043,6064,6081,6135,6170,6185,
+6235,6244,6302,6338,6368,6423,6480,6580,6584,6616,
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+8352395,8352405,8352415,8352440,8352465,8352506,8352573,8352634,8352636,8352660,
+8352706,8352730,8352808,8352819,8352854,8352874,8352952,8352989,8353003,8353052,
+8353086,8353151,8353247,8353291,8353311,8353350,8353395,8353546,8353593,8353608,
+8353619,8353621,8353714,8353737,8353755,8353768,8353781,8353801,8353802,8353816,
+8353864,8353867,8353881,8353887,8353888,8353917,8353921,8353922,8353941,8353945,
+8354004,8354135,8354141,8354186,8354196,8354227,8354265,8354268,8354292,8354336,
+8354407,8354461,8354492,8354545,8354605,8354614,8354666,8354692,8354710,8354719,
+8354720,8354730,8354791,8354872,8354897,8354898,8354940,8354974,8354990,8354997,
+8355069,8355070,8355123,8355183,8355192,8355259,8355273,8355367,8355382,8355439,
+8355448,8355467,8355538,8355559,8355560,8355565,8355583,8355598,8355634,8355705,
+8355721,8355735,8355746,8355813,8355818,8355826,8355895,8355907,8355913,8355940,
+8355986,8356007,8356034,8356045,8356063,8356136,8356149,8356153,8356162,8356207,
+8356209,8356237,8356259,8356280,8356286,8356318,8356345,8356352,8356362,8356412,
+8356430,8356477,8356505,8356524,8356607,8356639,8356640,8356664,8356715,8356742,
+8356794,8356841,8356850,8356881,8356941,8356959,8356987,8356994,8356999,8357006,
+8357036,8357121,8357134,8357141,8357148,8357155,8357162,8357170,8357213,8357224,
+8357258,8357263,8357281,8357287,8357413,8357428,8357435,8357498,8357531,8357549,
+8357623,8357662,8357686,8357697,8357710,8357740,8357807,8357810,8357829,8357881,
+8357882,8357945,8357959,8358013,8358037,8358085,8358114,8358134,8358163,8358181,
+8358186,8358206,8358282,8358295,8358340,8358377,8358391,8358402,8358467,8358503,
+8358512,8358521,8358585,8358618,8358620,8358641,8358710,8358731,8358739,8358764,
+8358843,8358845,8358875,8358906,8358943,8358961,8358988,8358996,8359045,8359086,
+8359125,8359126,8359146,8359165,8359192,8359195,8359213,8359222,8359231,8359236,
+8359248,8359304,8359333,8359338,8359358,8359375,8359377,8359403,8359408,8359458,
+8359543,8359613,8359718,8359721,8359761,8359767,8359837,8359862,8359880,8359945,
+8359953,8360019,8360052,8360164,8360168,8360179,8360217,8360230,8360251,8360296,
+8360329,8360385,8360473,8360504,8360585,8360594,8360636,8360651,8360671,8360690,
+8360701,8360721,8360733,8360799,8360810,8360854,8360864,8360881,8360916,8361088,
+8361136,8361142,8361154,8361159,8361189,8361256,8361261,8361270,8361376,8361385,
+8361403,8361420,8361437,8361459,8361495,8361535,8361561,8361586,8361595,8361611,
+8361679,8361691,8361727,8361732,8361770,8361790,8361819,8361948,8361976,8362031,
+8362051,8362077,8362094,8362096,8362127,8362195,8362204,8362235,8362258,8362276,
+8362315,8362320,8362329,8362342,8362399,8362437,8362492,8362511,8362562,8362574,
+8362612,8362645,8362686,8362711,8362721,8362763,8362834,8362862,8362880,8362946,
+8362996,8363003,8363037,8363051,8363066,8363086,8363091,8363161,8363195,8363220,
+8363243,8363248,8363251,8363268,8363283,8363373,8363381,8363428,8363493,8363503,
+8363505,8363564,8363575,8363579,8363691,8363744,8363747,8363781,8363859,8363892,
+8363912,8363930,8363951,8363960,8363977,8363995,8364016,8364028,8364035,8364068,
+8364216,8364267,8364287,8364343,8364344,8364358,8364364,8364426,8364436,8364439,
+8364455,8364456,8364566,8364596,8364606,8364666,8364678,8364687,8364696,8364743,
+8364773,8364830,8364851,8364871,8364896,8364899,8364932,8364960,8365038,8365049,
+8365050,8365105,8365126,8365154,8365177,8365214,8365242,8365244,8365270,8365285,
+8365295,8365300,8365310,8365335,8365398,8365401,8365447,8365454,8365459,8365461,
+8365502,8365577,8365611,8365625,8365670,8365684,8365700,8365728,8365799,8365820,
+8365831,8365837,8365852,8365911,8365912,8365931,8365958,8365986,8365997,8366015,
+8366030,8366047,8366072,8366078,8366094,8366130,8366164,8366220,8366238,8366241,
+8366288,8366404,8366441,8366531,8366562,8366573,8366625,8366691,8366697,8366794,
+8366830,8366841,8366895,8366898,8366909,8366917,8366936,8366994,8367000,8367005,
+8367056,8367102,8367121,8367150,8367209,8367251,8367253,8367330,8367412,8367441,
+8367453,8367458,8367472,8367478,8367500,8367607,8367654,8367666,8367728,8367784,
+8367789,8367795,8367889,8367901,8367962,8367973,8368103,8368132,8368154,8368238,
+8368246,8368252,8368299,8368327,8368331,8368345,8368367,8368384,8368438,8368456,
+8368469,8368485,8368547,8368582,8368606,8368616,8368627,8368634,8368686,8368717,
+8368763,8368796,8368805,8368871,8368900,8368975,8368993,8369008,8369014,8369017,
+8369058,8369113,8369176,8369235,8369241,8369291,8369362,8369374,8369407,8369424,
+8369440,8369446,8369455,8369464,8369489,8369505,8369530,8369554,8369576,8369613,
+8369619,8369689,8369771,8369788,8369816,8369845,8369906,8370070,8370127,8370135,
+8370166,8370176,8370194,8370247,8370253,8370281,8370308,8370342,8370351,8370408,
+8370414,8370479,8370532,8370580,8370645,8370659,8370671,8370710,8370772,8370792,
+8370806,8370819,8370930,8370939,8370968,8370977,8370990,8371009,8371055,8371074,
+8371114,8371146,8371179,8371202,8371213,8371214,8371288,8371294,8371303,8371321,
+8371343,8371364,8371373,8371385,8371411,8371420,8371473,8371510,8371548,8371615,
+8371622,8371706,8371736,8371758,8371772,8371787,8371792,8371808,8371832,8371895,
+8371896,8371958,8371994,8372010,8372095,8372147,8372161,8372182,8372186,8372229,
+8372264,8372284,8372326,8372353,8372380,8372450,8372461,8372496,8372532,8372547,
+8372598,8372680,8372694,8372771,8372792,8372797,8372805,8372833,8372846,8372904,
+8372941,8372998,8373026,8373064,8373082,8373100,8373124,8373152,8373217,8373220,
+8373224,8373256,8373285,8373297,8373298,8373312,8373342,8373360,8373429,8373433,
+8373471,8373504,8373527,8373576,8373609,8373646,8373674,8373676,8373687,8373711,
+8373732,8373855,8373865,8373890,8373899,8373926,8373949,8374017,8374053,8374140,
+8374161,8374178,8374183,8374187,8374234,8374250,8374269,8374291,8374327,8374417,
+8374454,8374466,8374526,8374552,8374568,8374675,8374698,8374768,8374774,8374794,
+8374820,8374832,8374847,8374859,8374873,8374876,8374928,8374949,8374964,8374986,
+8374999,8375047,8375051,8375068,8375101,8375133,8375173,8375183,8375219,8375226,
+8375236,8375267,8375269,8375329,8375349,8375361,8375364,8375425,8375438,8375480,
+8375533,8375541,8375573,8375607,8375611,8375614,8375690,8375697,8375723,8375757,
+8375776,8375812,8375833,8375923,8375939,8375951,8375954,8375963,8375972,8375979,
+8375990,8376064,8376199,8376220,8376273,8376396,8376401,8376435,8376475,8376477,
+8376496,8376511,8376554,8376568,8376594,8376636,8376648,8376665,8376689,8376702,
+8376712,8376766,8376807,8376871,8376961,8376964,8376986,8377042,8377044,8377132,
+8377140,8377143,8377155,8377172,8377198,8377205,8377252,8377282,8377288,8377436,
+8377452,8377463,8377470,8377521,8377524,8377542,8377619,8377641,8377745,8377793,
+8377906,8377918,8377935,8377950,8377983,8377996,8378042,8378059,8378079,8378089,
+8378100,8378117,8378135,8378142,8378145,8378148,8378175,8378201,8378214,8378302,
+8378304,8378307,8378374,8378395,8378413,8378470,8378507,8378546,8378555,8378563,
+8378596,8378685,8378711,8378721,8378727,8378734,8378779,8378786,8378820,8378894,
+8378983,8378989,8379001,8379048,8379066,8379085,8379256,8379259,8379265,8379292,
+8379301,8379305,8379328,8379340,8379361,8379362,8379368,8379386,8379430,8379501,
+8379507,8379523,8379526,8379556,8379682,8379691,8379713,8379733,8379734,8379761,
+8379787,8379798,8379837,8379855,8379860,8379863,8379886,8379907,8379909,8379972,
+8379984,8379990,8379993,8380048,8380076,8380186,8380195,8380229,8380230,8380239,
+8380244,8380258,8380278,8380318,8380359,8380368,8380417,8380430,8380447,8380465,
+8380466,8380480,8380543,8380564,8380689,8380726,8380802,8380828,8380838,8380898,
+8380903,8380917,8380996,8381042,8381054,8381084,8381088,8381160,8381178,8381195,
+8381203,8381221,8381265,8381281,8381287,8381365,8381377,8381378,8381392,8381414,
+8381437,8381450,8381460,8381463,8381491,8381500,8381551,8381590,8381610,8381652,
+8381721,8381769,8381789,8381794,8381808,8381833,8381854,8381857,8381875,8381899,
+8381910,8381938,8381966,8381968,8382056,8382100,8382113,8382157,8382175,8382176,
+8382186,8382199,8382218,8382232,8382242,8382244,8382265,8382297,8382340,8382439,
+8382446,8382634,8382647,8382654,8382656,8382665,8382724,8382761,8382784,8382789,
+8382802,8382858,8382877,8382908,8382934,8382947,8382962,8383045,8383067,8383085,
+8383093,8383100,8383143,8383175,8383194,8383205,8383237,8383268,8383303,8383351,
+8383412,8383419,8383429,8383434,8383447,8383472,8383504,8383509,8383549,8383550,
+8383609,8383670,8383705,8383711,8383712,8383717,8383750,8383787,8383797,8383810,
+8383812,8383846,8383893,8383942,8383984,8383987,8384010,8384092,8384099,8384169,
+8384175,8384195,8384215,8384250,8384252,8384287,8384340,8384420,8384435,8384449,
+8384462,8384485,8384504,8384569,8384589,8384598,8384602,8384653,8384682,8384750,
+8384784,8384827,8384865,8384883,8384913,8384959,8384974,8385012,8385052,8385122,
+8385139,8385195,8385210,8385212,8385230,8385244,8385263,8385292,8385303,8385346,
+8385427,8385543,8385550,8385561,8385568,8385588,8385634,8385640,8385750,8385849,
+8385877,8385912,8385928,8386024,8386035,8386054,8386101,8386105,8386202,8386217,
+8386225,8386226,8386238,8386342,8386348,8386351,8386377,8386383,8386388,8386404,
+8386435,8386478,8386601,8386607,8386675,8386677,8386691,8386697,8386708,8386727,
+8386734,8386760,8386787,8386845,8386874,8386902,8386906,8386924,8386930,8386972,
+8386976,8386982,8387077,8387105,8387135,8387173,8387180,8387188,8387300,8387312,
+8387329,8387335,8387341,8387387,8387428,8387435,8387468,8387476,8387499,8387513,
+8387534,8387542,8387552,8387641,8387669,8387686,8387731,8387738,8387744,8387776,
+8387806,8387809,8387830,8387854,8387868,8387887,8387933,8387938,8387964,8387983,
+8388008,8388016,8388076,8388094,8388107,8388131,8388138,8388148,8388157,8388160,
+8388196,8388290,8388349,8388350,8388512,8388521,8388522,8388542,8388550,8388567,
+-1}; // degree 24, 276480 polynomials
+#endif
+
+#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_24
+static const long PrimitivePolynomialDegree25[]={
+4,7,22,64,73,98,127,134,158,162,
+185,203,208,214,220,233,239,244,266,273,
+280,324,352,357,367,370,381,386,395,400,
+412,421,422,431,439,482,501,508,517,518,
+569,607,618,626,635,638,647,656,662,671,
+675,692,696,728,743,747,755,784,793,800,
+815,820,829,841,859,865,886,892,902,914,
+920,923,925,968,974,986,988,997,1002,1009,
+1021,1067,1070,1082,1092,1102,1129,1130,1144,1147,
+1165,1166,1171,1173,1184,1201,1207,1225,1259,1267,
+1274,1305,1315,1317,1329,1342,1350,1373,1383,1389,
+1401,1408,1417,1425,1431,1447,1448,1454,1466,1474,
+1483,1485,1491,1498,1509,1513,1531,1534,1578,1586,
+1606,1610,1623,1633,1643,1646,1670,1673,1704,1732,
+1741,1750,1756,1763,1770,1778,1783,1787,1790,1801,
+1807,1821,1846,1855,1875,1881,1894,1917,1931,1933,
+1946,1961,1972,1989,2011,2030,2042,2044,2053,2060,
+2065,2066,2072,2075,2116,2134,2137,2159,2192,2195,
+2218,2220,2223,2231,2246,2257,2269,2274,2283,2294,
+2305,2330,2336,2348,2353,2359,2363,2366,2374,2377,
+2398,2419,2426,2437,2455,2478,2492,2503,2527,2531,
+2545,2576,2579,2598,2601,2619,2633,2691,2727,2736,
+2742,2753,2773,2789,2808,2825,2834,2839,2850,2856,
+2861,2867,2879,2908,2915,2935,2994,2996,3000,3014,
+3018,3020,3041,3079,3088,3091,3110,3127,3154,3175,
+3179,3182,3193,3212,3240,3245,3258,3263,3272,3280,
+3308,3311,3326,3340,3352,3358,3361,3368,3388,3394,
+3399,3405,3424,3433,3434,3442,3444,3457,3464,3469,
+3506,3520,3526,3549,3553,3577,3599,3604,3632,3667,
+3676,3686,3697,3700,3710,3713,3734,3743,3750,3756,
+3759,3764,3776,3781,3829,3842,3865,3890,3901,3921,
+3928,3934,3947,3961,3977,3991,4002,4004,4013,4025,
+4039,4054,4063,4076,4088,4094,4116,4125,4130,4132,
+4139,4173,4174,4181,4191,4228,4256,4259,4265,4266,
+4283,4285,4331,4334,4341,4346,4363,4368,4374,4377,
+4390,4404,4413,4416,4426,4428,4440,4452,4456,4462,
+4467,4469,4479,4480,4528,4537,4546,4581,4586,4591,
+4600,4609,4639,4658,4664,4677,4692,4695,4699,4702,
+4739,4811,4847,4869,4873,4882,4891,4924,4932,4936,
+4939,4944,4978,4989,4990,4994,5003,5011,5018,5029,
+5041,5062,5073,5076,5080,5085,5101,5104,5110,5119,
+5127,5134,5136,5142,5194,5237,5253,5254,5260,5263,
+5268,5299,5319,5331,5334,5349,5362,5391,5393,5410,
+5419,5422,5424,5439,5478,5484,5517,5529,5545,5566,
+5571,5573,5578,5601,5607,5622,5626,5631,5655,5672,
+5707,5721,5738,5745,5755,5757,5761,5764,5768,5779,
+5782,5810,5819,5851,5854,5857,5878,5895,5935,5940,
+5944,5955,5961,5967,5986,5988,6015,6025,6033,6061,
+6062,6076,6093,6127,6130,6139,6142,6145,6148,6152,
+6155,6157,6163,6196,6208,6226,6232,6241,6247,6275,
+6287,6290,6296,6308,6320,6325,6326,6329,6343,6380,
+6391,6392,6400,6406,6412,6429,6440,6454,6468,6472,
+6477,6492,6505,6523,6530,6535,6550,6569,6577,6587,
+6609,6626,6631,6632,6635,6652,6656,6674,6707,6716,
+6782,6798,6803,6819,6826,6831,6833,6836,6848,6866,
+6911,6931,6943,6954,6962,6981,7003,7009,7030,7039,
+7050,7052,7057,7070,7080,7093,7100,7117,7146,7195,
+7204,7211,7213,7214,7228,7243,7253,7257,7287,7294,
+7297,7309,7322,7340,7343,7346,7369,7393,7405,7435,
+7456,7483,7485,7498,7508,7511,7517,7521,7534,7546,
+7548,7557,7570,7600,7642,7651,7658,7665,7682,7687,
+7696,7701,7706,7722,7727,7741,7761,7764,7780,7804,
+7813,7825,7826,7835,7841,7847,7862,7868,7874,7910,
+7924,7953,7965,7976,7993,7994,8041,8047,8056,8071,
+8090,8099,8120,8123,8133,8140,8162,8176,8185,8191,
+8209,8225,8226,8240,8278,8315,8334,8341,8348,8352,
+8389,8402,8424,8450,8467,8483,8492,8495,8500,8512,
+8529,8575,8594,8600,8606,8612,8627,8630,8636,8644,
+8648,8651,8662,8672,8702,8706,8717,8729,8732,8739,
+8746,8802,8808,8816,8826,8841,8880,8886,8922,8940,
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+16765064,16765091,16765100,16765111,16765135,16765138,16765154,16765160,16765165,16765174,
+16765178,16765186,16765195,16765228,16765231,16765240,16765257,16765272,16765284,16765291,
+16765301,16765302,16765329,16765339,16765352,16765358,16765380,16765423,16765456,16765468,
+16765478,16765499,16765501,16765550,16765561,16765562,16765573,16765597,16765611,16765658,
+16765660,16765667,16765669,16765691,16765694,16765705,16765714,16765742,16765744,16765753,
+16765759,16765771,16765795,16765809,16765821,16765832,16765840,16765846,16765879,16765885,
+16765891,16765912,16765915,16765933,16765942,16765946,16765960,16765965,16765974,16765994,
+16766001,16766008,16766031,16766049,16766059,16766070,16766092,16766103,16766109,16766146,
+16766148,16766158,16766165,16766169,16766179,16766191,16766235,16766238,16766297,16766319,
+16766331,16766333,16766362,16766374,16766380,16766388,16766397,16766398,16766409,16766445,
+16766448,16766469,16766473,16766493,16766498,16766515,16766522,16766535,16766547,16766549,
+16766556,16766560,16766565,16766584,16766596,16766623,16766627,16766642,16766651,16766679,
+16766714,16766721,16766746,16766757,16766758,16766772,16766779,16766796,16766802,16766807,
+16766823,16766837,16766848,16766851,16766884,16766913,16766931,16766940,16766954,16766956,
+16766968,16766990,16767004,16767031,16767037,16767085,16767086,16767094,16767100,16767137,
+16767143,16767144,16767179,16767218,16767220,16767223,16767242,16767266,16767298,16767310,
+16767312,16767317,16767324,16767331,16767343,16767345,16767348,16767382,16767401,16767402,
+16767409,16767460,16767487,16767494,16767498,16767508,16767515,16767531,16767559,16767568,
+16767577,16767589,16767604,16767613,16767620,16767632,16767641,16767678,16767697,16767698,
+16767703,16767713,16767716,16767733,16767734,16767766,16767785,16767800,16767820,16767823,
+16767828,16767847,16767851,16767859,16767872,16767881,16767890,16767895,16767899,16767902,
+16767917,16767929,16767935,16767964,16768000,16768040,16768046,16768051,16768058,16768066,
+16768068,16768075,16768083,16768105,16768126,16768139,16768142,16768144,16768175,16768180,
+16768202,16768269,16768275,16768278,16768282,16768287,16768288,16768300,16768311,16768320,
+16768326,16768374,16768378,16768407,16768408,16768435,16768444,16768450,16768459,16768473,
+16768486,16768507,16768549,16768562,16768574,16768588,16768603,16768609,16768630,16768636,
+16768639,16768643,16768649,16768655,16768669,16768674,16768679,16768693,16768694,16768703,
+16768706,16768746,16768753,16768759,16768766,16768777,16768780,16768783,16768795,16768808,
+16768811,16768851,16768853,16768860,16768874,16768909,16768928,16768938,16768957,16768975,
+16768980,16768984,16769006,16769011,16769018,16769033,16769051,16769058,16769067,16769069,
+16769072,16769096,16769102,16769114,16769120,16769123,16769143,16769163,16769168,16769173,
+16769180,16769190,16769194,16769219,16769226,16769228,16769249,16769267,16769282,16769284,
+16769291,16769299,16769302,16769318,16769330,16769354,16769356,16769368,16769371,16769377,
+16769389,16769397,16769408,16769465,16769468,16769471,16769473,16769498,16769514,16769516,
+16769524,16769533,16769540,16769544,16769550,16769567,16769568,16769592,16769598,16769606,
+16769615,16769620,16769630,16769633,16769645,16769651,16769658,16769688,16769724,16769766,
+16769770,16769777,16769789,16769804,16769816,16769846,16769852,16769855,16769860,16769875,
+16769921,16769922,16769936,16769955,16769957,16769984,16770001,16770018,16770020,16770083,
+16770086,16770095,16770100,16770107,16770142,16770145,16770152,16770155,16770170,16770188,
+16770234,16770262,16770271,16770295,16770313,16770333,16770340,16770349,16770357,16770370,
+16770406,16770415,16770440,16770448,16770463,16770470,16770476,16770487,16770501,16770526,
+16770535,16770536,16770542,16770554,16770572,16770575,16770606,16770608,16770611,16770645,
+16770652,16770689,16770695,16770701,16770720,16770729,16770737,16770743,16770770,16770809,
+16770815,16770818,16770827,16770841,16770858,16770871,16770878,16770880,16770897,16770923,
+16770940,16770949,16770953,16770961,16770962,16770968,16770974,16770980,16771034,16771039,
+16771040,16771069,16771083,16771131,16771133,16771160,16771172,16771196,16771199,16771200,
+16771206,16771234,16771243,16771245,16771290,16771299,16771311,16771313,16771325,16771333,
+16771358,16771368,16771382,16771391,16771424,16771427,16771429,16771436,16771442,16771460,
+16771463,16771491,16771508,16771517,16771526,16771532,16771553,16771559,16771563,16771571,
+16771614,16771624,16771630,16771642,16771650,16771659,16771673,16771679,16771680,16771703,
+16771720,16771726,16771733,16771737,16771767,16771774,16771776,16771786,16771805,16771821,
+16771824,16771848,16771862,16771868,16771881,16771896,16771924,16771937,16772019,16772021,
+16772026,16772039,16772045,16772057,16772060,16772067,16772088,16772114,16772120,16772125,
+16772150,16772162,16772181,16772207,16772212,16772216,16772249,16772255,16772261,16772265,
+16772285,16772297,16772305,16772311,16772315,16772328,16772334,16772342,16772365,16772366,
+16772383,16772393,16772404,16772421,16772436,16772450,16772462,16772469,16772485,16772495,
+16772503,16772514,16772520,16772523,16772534,16772545,16772557,16772572,16772599,16772609,
+16772616,16772619,16772646,16772655,16772657,16772670,16772682,16772699,16772708,16772720,
+16772746,16772753,16772766,16772813,16772816,16772831,16772837,16772844,16772850,16772852,
+16772887,16772921,16772944,16772966,16772969,16772987,16773013,16773014,16773020,16773024,
+16773027,16773029,16773042,16773065,16773076,16773107,16773110,16773114,16773133,16773146,
+16773162,16773214,16773224,16773227,16773229,16773242,16773277,16773282,16773291,16773308,
+16773325,16773343,16773347,16773353,16773354,16773371,16773393,16773406,16773409,16773429,
+16773436,16773439,16773451,16773472,16773484,16773490,16773492,16773499,16773520,16773523,
+16773529,16773530,16773532,16773568,16773571,16773574,16773578,16773595,16773625,16773661,
+16773680,16773700,16773704,16773709,16773737,16773745,16773762,16773771,16773781,16773792,
+16773807,16773836,16773841,16773853,16773864,16773884,16773919,16773920,16773932,16773969,
+16773970,16773975,16773998,16774016,16774019,16774059,16774061,16774064,16774070,16774076,
+16774096,16774122,16774129,16774135,16774147,16774149,16774159,16774184,16774190,16774204,
+16774215,16774233,16774243,16774246,16774255,16774264,16774285,16774286,16774293,16774322,
+16774334,16774359,16774363,16774372,16774379,16774387,16774408,16774419,16774421,16774444,
+16774462,16774479,16774491,16774509,16774524,16774533,16774540,16774552,16774555,16774567,
+16774600,16774603,16774611,16774617,16774654,16774667,16774672,16774684,16774725,16774744,
+16774749,16774780,16774799,16774807,16774813,16774817,16774827,16774841,16774842,16774867,
+16774874,16774876,16774904,16774946,16774951,16774977,16774990,16774992,16775028,16775032,
+16775041,16775044,16775051,16775062,16775102,16775127,16775137,16775143,16775144,16775168,
+16775180,16775191,16775195,16775226,16775228,16775233,16775273,16775333,16775340,16775345,
+16775360,16775363,16775378,16775380,16775389,16775399,16775403,16775423,16775452,16775455,
+16775461,16775465,16775468,16775493,16775494,16775511,16775517,16775522,16775536,16775545,
+16775555,16775564,16775576,16775582,16775586,16775623,16775629,16775654,16775657,16775668,
+16775677,16775688,16775691,16775721,16775742,16775744,16775749,16775767,16775795,16775798,
+16775825,16775826,16775835,16775842,16775854,16775856,16775861,16775893,16775916,16775919,
+16775927,16775928,16775942,16775969,16775987,16775990,16776001,16776004,16776019,16776021,
+16776022,16776026,16776031,16776049,16776068,16776085,16776099,16776113,16776114,16776151,
+16776185,16776186,16776193,16776220,16776229,16776256,16776262,16776266,16776273,16776283,
+16776285,16776295,16776302,16776325,16776343,16776359,16776366,16776371,16776378,16776385,
+16776397,16776416,16776425,16776428,16776499,16776508,16776543,16776559,16776561,16776580,
+16776608,16776625,16776655,16776660,16776683,16776728,16776731,16776743,16776747,16776757,
+16776784,16776805,16776810,16776834,16776848,16776851,16776870,16776876,16776887,16776899,
+16776901,16776906,16776908,16776941,16776949,16776954,16776959,16776962,16776973,16776976,
+16776985,16777002,16777007,16777010,16777016,16777039,16777047,16777064,16777072,16777081,
+16777103,16777115,16777121,16777122,16777139,16777165,16777193,16777194,16777207,16777208,
+-1}; // degree 25, 1296000 polynomials
+#endif
+
+#if PPMT_MAX_DIM > N_PRIMITIVES_UP_TO_DEGREE_25
+static const long PrimitivePolynomialDegree26[]={
+35,38,88,112,122,140,157,182,191,193,
+196,223,241,265,285,290,313,322,334,341,
+348,376,381,416,421,475,484,508,532,541,
+580,587,589,592,628,654,702,709,731,738,
+803,817,829,838,842,886,895,899,901,908,
+920,923,926,935,982,1044,1051,1057,1069,1119,
+1120,1138,1143,1156,1159,1173,1228,1240,1246,1306,
+1342,1371,1402,1408,1417,1426,1447,1468,1471,1474,
+1493,1498,1507,1521,1543,1544,1580,1591,1605,1627,
+1657,1679,1721,1741,1749,1763,1780,1792,1801,1837,
+1855,1867,1918,1921,1922,1928,1962,2011,2047,2057,
+2087,2108,2128,2137,2150,2173,2189,2220,2240,2249,
+2257,2270,2303,2317,2329,2354,2356,2385,2402,2416,
+2425,2447,2483,2518,2533,2558,2615,2653,2684,2742,
+2756,2768,2777,2802,2840,2849,2905,2915,2921,2939,
+2952,2976,3017,3042,3056,3148,3169,3176,3189,3190,
+3210,3236,3263,3313,3319,3351,3357,3405,3411,3413,
+3427,3484,3494,3505,3506,3512,3540,3553,3571,3596,
+3611,3652,3686,3689,3719,3750,3754,3779,3794,3796,
+3800,3810,3868,3872,3881,3890,3910,3931,3933,3944,
+3955,3974,3980,3992,4001,4002,4019,4021,4025,4070,
+4074,4079,4088,4093,4116,4154,4171,4181,4195,4212,
+4225,4231,4250,4261,4266,4274,4283,4286,4303,4345,
+4371,4373,4377,4396,4464,4476,4485,4498,4503,4510,
+4513,4520,4526,4531,4543,4588,4610,4622,4624,4660,
+4675,4732,4741,4751,4754,4776,4813,4814,4859,4870,
+4874,4881,4888,4898,4900,4921,4936,4990,4993,5005,
+5011,5036,5061,5086,5102,5121,5124,5134,5179,5202,
+5213,5238,5271,5299,5301,5340,5361,5385,5386,5415,
+5448,5456,5487,5502,5506,5541,5551,5553,5568,5586,
+5588,5625,5637,5638,5683,5686,5695,5728,5733,5740,
+5782,5785,5788,5801,5802,5830,5839,5858,5899,5904,
+5920,5950,5998,6026,6036,6050,6076,6081,6122,6141,
+6158,6163,6165,6191,6208,6244,6254,6256,6272,6289,
+6330,6337,6373,6405,6412,6417,6420,6468,6471,6475,
+6477,6549,6563,6619,6625,6626,6650,6655,6659,6666,
+6701,6702,6734,6762,6764,6772,6785,6786,6792,6800,
+6839,6846,6858,6866,6875,6906,6919,6925,6953,6959,
+6968,6982,6991,7006,7009,7022,7029,7080,7083,7132,
+7160,7163,7166,7173,7192,7207,7228,7234,7248,7251,
+7263,7264,7291,7334,7363,7405,7414,7466,7473,7488,
+7517,7542,7546,7582,7600,7605,7630,7632,7638,7666,
+7717,7756,7767,7774,7811,7893,7898,7914,7919,7941,
+8066,8089,8096,8099,8120,8125,8133,8204,8222,8255,
+8270,8275,8287,8315,8318,8334,8341,8345,8376,8389,
+8413,8424,8464,8500,8545,8552,8566,8582,8668,8682,
+8708,8763,8808,8831,8844,8861,8875,8898,8918,8921,
+8928,8937,8948,8965,8977,8984,9011,9032,9079,9090,
+9102,9162,9181,9238,9248,9286,9290,9320,9337,9387,
+9443,9463,9478,9482,9492,9496,9499,9544,9550,9578,
+9602,9641,9650,9659,9662,9664,9682,9687,9722,9724,
+9767,9771,9824,9848,9869,9877,9884,9898,9915,9938,
+9949,9977,9991,10009,10039,10065,10084,10093,10105,10124,
+10177,10180,10187,10198,10223,10281,10290,10334,10349,10407,
+10411,10422,10458,10469,10470,10474,10488,10532,10553,10554,
+10561,10619,10662,10708,10712,10736,10779,10797,10812,10824,
+10881,10887,10901,10905,10908,10924,10935,10936,10959,11078,
+11092,11120,11139,11166,11169,11175,11194,11204,11238,11261,
+11279,11281,11284,11288,11293,11303,11330,11365,11380,11451,
+11456,11479,11483,11501,11531,11534,11545,11572,11581,11589,
+11623,11641,11663,11666,11696,11716,11774,11813,11818,11888,
+11907,11913,11981,12030,12042,12049,12062,12110,12117,12137,
+12157,12179,12201,12215,12281,12409,12433,12473,12496,12515,
+12518,12539,12549,12568,12589,12595,12598,12619,12710,12724,
+12745,12751,12799,12809,12827,12833,12848,12885,12905,12906,
+12919,12930,12944,12966,12987,13057,13106,13120,13132,13137,
+13138,13156,13193,13202,13237,13249,13283,13303,13310,13317,
+13329,13355,13370,13380,13398,13411,13425,13435,13441,13444,
+13462,13471,13472,13481,13484,13496,13504,13513,13519,13629,
+13638,13677,13714,13732,13754,13756,13791,13797,13826,13835,
+13838,13852,13871,13893,13894,13911,13922,13934,13941,13948,
+13957,13972,14038,14065,14078,14080,14097,14134,14137,14151,
+14186,14196,14212,14224,14233,14267,14269,14284,14296,14335,
+14360,14363,14375,14389,14411,14413,14425,14441,14455,14475,
+14478,14538,14582,14618,14634,14647,14654,14674,14725,14730,
+14763,14780,14786,14806,14816,14825,14833,14870,14885,14929,
+14942,14958,14970,15048,15051,15056,15061,15087,15104,15116,
+15137,15144,15199,15212,15246,15308,15336,15386,15398,15404,
+15409,15441,15460,15467,15488,15506,15521,15527,15534,15577,
+15583,15613,15621,15640,15650,15662,15736,15748,15779,15785,
+15794,15800,15838,15871,15947,15961,15991,15998,16008,16013,
+16047,16050,16062,16094,16103,16109,16115,16170,16202,16249,
+16276,16289,16296,16299,16324,16341,16346,16408,16420,16427,
+16437,16467,16473,16483,16492,16528,16553,16581,16593,16630,
+16653,16654,16678,16682,16727,16737,16750,16795,16822,16833,
+16845,16846,16888,16907,16933,16958,16980,17013,17069,17070,
+17099,17104,17149,17150,17157,17182,17195,17210,17212,17247,
+17248,17277,17281,17288,17302,17312,17398,17452,17535,17554,
+17579,17596,17611,17616,17626,17664,17673,17684,17698,17704,
+17727,17735,17742,17756,17760,17778,17790,17813,17827,17907,
+17914,17916,17920,17923,17937,17938,17943,17950,17956,17960,
+17971,18031,18036,18127,18130,18141,18169,18172,18220,18226,
+18232,18238,18246,18267,18270,18352,18361,18399,18420,18446,
+18470,18536,18578,18590,18645,18665,18680,18705,18727,18751,
+18763,18778,18808,18814,18829,18868,18875,18880,18890,18916,
+18938,18940,18968,18987,19010,19015,19029,19104,19109,19136,
+19141,19165,19172,19199,19208,19216,19219,19225,19242,19252,
+19291,19312,19321,19367,19381,19451,19462,19486,19504,19533,
+19546,19588,19605,19645,19660,19663,19677,19699,19728,19734,
+19759,19767,19779,19781,19786,19948,19953,19969,19999,20068,
+20072,20080,20108,20120,20144,20149,20173,20174,20198,20201,
+20227,20257,20275,20282,20296,20310,20320,20340,20343,20354,
+20404,20426,20433,20487,20508,20547,20598,20618,20647,20674,
+20680,20741,20746,20756,20782,20804,20811,20813,20847,20850,
+20859,20878,20883,20892,20901,20908,20926,20937,20940,20962,
+20995,21001,21019,21045,21049,21055,21063,21075,21084,21124,
+21145,21175,21217,21224,21237,21280,21304,21309,21322,21324,
+21351,21352,21355,21399,21405,21410,21434,21441,21453,21514,
+21600,21612,21627,21629,21633,21634,21643,21653,21674,21684,
+21696,21713,21720,21739,21741,21750,21761,21774,21782,21903,
+21954,21990,21999,22020,22032,22066,22080,22085,22107,22143,
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