[Determinism] Add hash based testing

.travis.yml

@@ -45,11 +45,6 @@ matrix:
       env:
         - LABEL="armhf-gcc"
         - ENABLE_DOCKER="true"
-    - os: linux
-      services: docker
-      env:
-        - LABEL="ppc64el-clang"
-        - ENABLE_DOCKER="true"
 
 before_install:
      - export PATH=$PATH:/usr/bin

CMakeLists.txt

@@ -9,6 +9,8 @@ option(SLEEF_TEST_ALL_IUT "Perform tests on implementations with all vector exte
 option(SLEEF_SHOW_CONFIG "Show SLEEF configuration status messages." ON)
 option(SLEEF_SHOW_ERROR_LOG "Show cmake error log." OFF)
 
+option(ENFORCE_TESTER3 "Build fails if tester3 is not built" OFF)
+
 # See doc/build-with-cmake.md for instructions on how to build Sleef.
 cmake_minimum_required(VERSION 3.4.3)
 # Set to NEW when updating cmake_minimum_required to VERSION >= 3.7.2
@@ -126,6 +128,7 @@ ${PROJECT_NAME}-v${SLEEF_VERSION_MAJOR}.${SLEEF_VERSION_MINOR}")
   message(STATUS "GMP : " ${LIBGMP})
   message(STATUS "RT : " ${LIBRT})
   message(STATUS "FFTW3 : " ${LIBFFTW3})
+  message(STATUS "OPENSSL : " ${OPENSSL_VERSION})
   message(STATUS "SDE : " ${SDE_COMMAND})
   message(STATUS "RUNNING_ON_TRAVIS : " ${RUNNING_ON_TRAVIS})
   message(STATUS "COMPILER_SUPPORTS_OPENMP : " ${COMPILER_SUPPORTS_OPENMP})

Configure.cmake

@@ -9,6 +9,29 @@ find_library(LIBGMP gmp)
 find_library(LIBRT rt)
 find_library(LIBFFTW3 fftw3)
 
+if (NOT CMAKE_CROSSCOMPILING AND NOT SLEEF_FORCE_FIND_PACKAGE_SSL)
+  find_package(OpenSSL)
+  if (OPENSSL_FOUND)
+    set(SLEEF_OPENSSL_FOUND TRUE)
+    set(SLEEF_OPENSSL_LIBRARIES ${OPENSSL_LIBRARIES})
+    set(SLEEF_OPENSSL_VERSION ${OPENSSL_VERSION})
+    set(SLEEF_OPENSSL_INCLUDE_DIR ${OPENSSL_INCLUDE_DIR})
+  endif()
+else()
+  # find_package cannot find OpenSSL when cross-compiling
+  find_library(LIBSSL ssl)
+  find_library(LIBCRYPTO crypto)
+  if (LIBSSL AND LIBCRYPTO)
+    set(SLEEF_OPENSSL_FOUND TRUE)
+    set(SLEEF_OPENSSL_LIBRARIES ${LIBSSL} ${LIBCRYPTO})
+    set(SLEEF_OPENSSL_VERSION ${LIBSSL})
+  endif()
+endif()
+
+if (ENFORCE_TESTER3 AND NOT SLEEF_OPENSSL_FOUND)
+  message(FATAL_ERROR "ENFORCE_TESTER3 is specified and OpenSSL not found")
+endif()
+
 find_path(MPFR_INCLUDE_DIR
   NAMES mpfr.h
   ONLY_CMAKE_FIND_ROOT_PATH)
@@ -92,6 +115,16 @@ if((CMAKE_SYSTEM_PROCESSOR MATCHES "x86") OR (CMAKE_SYSTEM_PROCESSOR MATCHES "AM
   command_arguments(ALIAS_PARAMS_AVX512F_SP -16 __m512  __m512i e avx512f)
 
   set(CLANG_FLAGS_ENABLE_PURECFMA_SCALAR "-mavx2;-mfma")
+
+  set(TESTER3_DEFINITIONS_SSE2          ATR=cinz_ DPTYPE=__m128d SPTYPE=__m128 DPTYPESPEC=d2 SPTYPESPEC=f4  EXTSPEC=sse2)
+  set(TESTER3_DEFINITIONS_SSE4          ATR=cinz_ DPTYPE=__m128d SPTYPE=__m128 DPTYPESPEC=d2 SPTYPESPEC=f4  EXTSPEC=sse4)
+  set(TESTER3_DEFINITIONS_AVX2128       ATR=finz_ DPTYPE=__m128d SPTYPE=__m128 DPTYPESPEC=d2 SPTYPESPEC=f4  EXTSPEC=avx2128)
+  set(TESTER3_DEFINITIONS_AVX           ATR=cinz_ DPTYPE=__m256d SPTYPE=__m256 DPTYPESPEC=d4 SPTYPESPEC=f8  EXTSPEC=avx)
+  set(TESTER3_DEFINITIONS_FMA4          ATR=finz_ DPTYPE=__m256d SPTYPE=__m256 DPTYPESPEC=d4 SPTYPESPEC=f8  EXTSPEC=fma4)
+  set(TESTER3_DEFINITIONS_AVX2          ATR=finz_ DPTYPE=__m256d SPTYPE=__m256 DPTYPESPEC=d4 SPTYPESPEC=f8  EXTSPEC=avx2)
+  set(TESTER3_DEFINITIONS_AVX512F       ATR=finz_ DPTYPE=__m512d SPTYPE=__m512 DPTYPESPEC=d8 SPTYPESPEC=f16 EXTSPEC=avx512f)
+  set(TESTER3_DEFINITIONS_AVX512FNOFMA  ATR=cinz_ DPTYPE=__m512d SPTYPE=__m512 DPTYPESPEC=d8 SPTYPESPEC=f16 EXTSPEC=avx512fnofma)
+
 elseif(CMAKE_SYSTEM_PROCESSOR MATCHES "aarch64")
   set(SLEEF_ARCH_AARCH64 ON CACHE INTERNAL "True for Aarch64 architecture.")
   # Aarch64 requires support for advsimdfma4
@@ -117,6 +150,12 @@ elseif(CMAKE_SYSTEM_PROCESSOR MATCHES "aarch64")
   command_arguments(ALIAS_PARAMS_ADVSIMD_SP -4 float32x4_t int32x4_t n advsimd)
 
   set(CLANG_FLAGS_ENABLE_PURECFMA_SCALAR "-march=armv8-a+simd")
+
+  set(TESTER3_DEFINITIONS_ADVSIMD       ATR=finz_ DPTYPE=float64x2_t SPTYPE=float32x4_t DPTYPESPEC=d2 SPTYPESPEC=f4 EXTSPEC=advsimd)
+  set(TESTER3_DEFINITIONS_ADVSIMDNOFMA  ATR=cinz_ DPTYPE=float64x2_t SPTYPE=float32x4_t DPTYPESPEC=d2 SPTYPESPEC=f4 EXTSPEC=advsimdnofma)
+  set(TESTER3_DEFINITIONS_SVE           ATR=finz_ DPTYPE=svfloat64_t SPTYPE=svfloat32_t DPTYPESPEC=dx SPTYPESPEC=fx EXTSPEC=sve)
+  set(TESTER3_DEFINITIONS_SVENOFMA      ATR=cinz_ DPTYPE=svfloat64_t SPTYPE=svfloat32_t DPTYPESPEC=dx SPTYPESPEC=fx EXTSPEC=svenofma)
+
 elseif(CMAKE_SYSTEM_PROCESSOR MATCHES "arm")
   set(SLEEF_ARCH_AARCH32 ON CACHE INTERNAL "True for Aarch32 architecture.")
   set(COMPILER_SUPPORTS_NEON32 1)
@@ -155,6 +194,10 @@ elseif(CMAKE_SYSTEM_PROCESSOR MATCHES "^(powerpc|ppc)64")
   set(ALIAS_PARAMS_VSX_SP -4 "vector float" "vector int" - vsx)
 
   set(CLANG_FLAGS_ENABLE_PURECFMA_SCALAR "-mvsx")
+
+  set(TESTER3_DEFINITIONS_VSX      ATR=finz_ DPTYPE=vector_double SPTYPE=vector_float DPTYPESPEC=d2 SPTYPESPEC=f4 EXTSPEC=vsx)
+  set(TESTER3_DEFINITIONS_VSXNOFMA ATR=cinz_ DPTYPE=vector_double SPTYPE=vector_float DPTYPESPEC=d2 SPTYPESPEC=f4 EXTSPEC=vsxnofma)
+
 endif()
 
 command_arguments(HEADER_PARAMS_PUREC_SCALAR    cinz_ 1 1 double float int32_t int32_t __STDC__ purec)
@@ -164,6 +207,8 @@ command_arguments(ALIAS_PARAMS_PUREC_SCALAR_SP    -1 float  int32_t purec cinz_)
 command_arguments(ALIAS_PARAMS_PURECFMA_SCALAR_DP  1 double int32_t purecfma finz_)
 command_arguments(ALIAS_PARAMS_PURECFMA_SCALAR_SP -1 float  int32_t purecfma finz_)
 
+set(TESTER3_DEFINITIONS_PUREC_SCALAR    ATR=cinz_ DPTYPE=double SPTYPE=float DPTYPESPEC=d1 SPTYPESPEC=f1 EXTSPEC=purec)
+set(TESTER3_DEFINITIONS_PURECFMA_SCALAR ATR=finz_ DPTYPE=double SPTYPE=float DPTYPESPEC=d1 SPTYPESPEC=f1 EXTSPEC=purecfma)
 set(COMPILER_SUPPORTS_PUREC_SCALAR 1)
 set(COMPILER_SUPPORTS_PURECFMA_SCALAR 1)
 

Jenkinsfile

@@ -15,7 +15,7 @@ pipeline {
 			 rm -rf build
  			 mkdir build
 			 cd build
-			 cmake -DCMAKE_INSTALL_PREFIX=../install -DSLEEF_SHOW_CONFIG=1 ..
+			 cmake -DCMAKE_INSTALL_PREFIX=../install -DSLEEF_SHOW_CONFIG=1 -DENFORCE_TESTER3=TRUE ..
 			 make -j 4 all
 			 export OMP_WAIT_POLICY=passive
 		         export CTEST_OUTPUT_ON_FAILURE=TRUE
@@ -36,7 +36,7 @@ pipeline {
 		        rm -rf build
  		        mkdir build
 		        cd build
-		        cmake -DCMAKE_INSTALL_PREFIX=../install -DSLEEF_SHOW_CONFIG=1 ..
+		        cmake -DCMAKE_INSTALL_PREFIX=../install -DSLEEF_SHOW_CONFIG=1 -DENFORCE_TESTER3=TRUE ..
 		        make -j 4 all
 			export OMP_WAIT_POLICY=passive
 		        export CTEST_OUTPUT_ON_FAILURE=TRUE
@@ -57,7 +57,7 @@ pipeline {
 			 rm -rf build
  			 mkdir build
 			 cd build
-			 cmake -DCMAKE_INSTALL_PREFIX=../install -DSLEEF_SHOW_CONFIG=1 ..
+			 cmake -DCMAKE_INSTALL_PREFIX=../install -DSLEEF_SHOW_CONFIG=1 -DENFORCE_TESTER3=TRUE ..
 			 make -j 4 all
 			 export OMP_WAIT_POLICY=passive
 		         export CTEST_OUTPUT_ON_FAILURE=TRUE
@@ -77,7 +77,7 @@ pipeline {
 			 rm -rf build
  			 mkdir build
 			 cd build
-			 cmake -DCMAKE_INSTALL_PREFIX=../install -DSLEEF_SHOW_CONFIG=1 ..
+			 cmake -DCMAKE_INSTALL_PREFIX=../install -DSLEEF_SHOW_CONFIG=1 -DENFORCE_TESTER3=TRUE ..
 			 make -j 4 all
 			 export OMP_WAIT_POLICY=passive
 		         export CTEST_OUTPUT_ON_FAILURE=TRUE
@@ -96,7 +96,7 @@ pipeline {
 			 rm -rf build
  			 mkdir build
 			 cd build
-			 cmake -DCMAKE_INSTALL_PREFIX=../install -DSLEEF_SHOW_CONFIG=1 -DBUILD_SHARED_LIBS=FALSE ..
+			 cmake -DCMAKE_INSTALL_PREFIX=../install -DSLEEF_SHOW_CONFIG=1 -DBUILD_SHARED_LIBS=FALSE -DOPENSSL_ROOT_DIR=/usr/local/opt/openssl -DENFORCE_TESTER3=TRUE ..
 			 make -j 2 all
 			 export OMP_WAIT_POLICY=passive
 		         export CTEST_OUTPUT_ON_FAILURE=TRUE
@@ -121,7 +121,7 @@ pipeline {
 			 rmdir /S /Q build
                          mkdir build
                          cd build
-                         cmake -G"Visual Studio 15 2017 Win64" .. -DCMAKE_INSTALL_PREFIX=install -DSLEEF_SHOW_CONFIG=1 -DBUILD_SHARED_LIBS=FALSE
+                         cmake -G"Visual Studio 15 2017 Win64" .. -DCMAKE_INSTALL_PREFIX=install -DSLEEF_SHOW_CONFIG=1 -DBUILD_SHARED_LIBS=FALSE -DENFORCE_TESTER3=TRUE
                          cmake --build . --target install --config Release
 			 ctest --output-on-failure -j 4 -C Release
 			 '''
@@ -136,7 +136,7 @@ pipeline {
 			 rm -rf build
  			 mkdir build
 			 cd build
-			 cmake -DCMAKE_INSTALL_PREFIX=../install -DSLEEF_SHOW_CONFIG=1 ..
+			 cmake -DCMAKE_INSTALL_PREFIX=../install -DSLEEF_SHOW_CONFIG=1 -DENFORCE_TESTER3=TRUE ..
 			 make -j 4 all
 			 export OMP_WAIT_POLICY=passive
 		         export CTEST_OUTPUT_ON_FAILURE=TRUE
@@ -163,7 +163,7 @@ pipeline {
 			 rm -rf build
  			 mkdir build
 			 cd build
-			 cmake -DCMAKE_TOOLCHAIN_FILE=../travis/toolchain-ppc64el.cmake -DNATIVE_BUILD_DIR=`pwd`/../build-native -DEMULATOR=qemu-ppc64le-static -DCMAKE_INSTALL_PREFIX=../install -DSLEEF_SHOW_CONFIG=1 ..
+			 cmake -DCMAKE_TOOLCHAIN_FILE=../travis/toolchain-ppc64el.cmake -DNATIVE_BUILD_DIR=`pwd`/../build-native -DEMULATOR=qemu-ppc64le-static -DCMAKE_INSTALL_PREFIX=../install -DSLEEF_SHOW_CONFIG=1 -DENFORCE_TESTER3=TRUE ..
 			 make -j 4 all
 			 export OMP_WAIT_POLICY=passive
 		         export CTEST_OUTPUT_ON_FAILURE=TRUE
@@ -181,7 +181,7 @@ pipeline {
 			 rm -rf build
  			 mkdir build
 			 cd build
-			 cmake -DCMAKE_INSTALL_PREFIX=../install -DSLEEF_SHOW_CONFIG=1 ..
+			 cmake -DCMAKE_INSTALL_PREFIX=../install -DSLEEF_SHOW_CONFIG=1 -DENFORCE_TESTER3=TRUE ..
 			 make -j 4 all
 			 export OMP_WAIT_POLICY=passive
 		         export CTEST_OUTPUT_ON_FAILURE=TRUE
@@ -199,7 +199,7 @@ pipeline {
 			 rm -rf build
  			 mkdir build
 			 cd build
-			 cmake -DCMAKE_INSTALL_PREFIX=../install -DSLEEF_SHOW_CONFIG=1 ..
+			 cmake -DCMAKE_INSTALL_PREFIX=../install -DSLEEF_SHOW_CONFIG=1 -DENFORCE_TESTER3=TRUE ..
 			 make -j 3 all
 			 export OMP_WAIT_POLICY=passive
 		         export CTEST_OUTPUT_ON_FAILURE=TRUE

appveyor.yml

@@ -20,7 +20,7 @@ install:
   - if "%DO_TEST%" == "TRUE" cd "c:\\projects\\sleef"
   - mkdir build
   - cd build
-  - cmake -G"Visual Studio 15 2017 Win64" .. -DCMAKE_INSTALL_PREFIX=install -DSLEEF_SHOW_CONFIG=1 -DSLEEF_SHOW_ERROR_LOG=1 %ENV_BUILD_STATIC%
+  - cmake -G"Visual Studio 15 2017 Win64" .. -DCMAKE_INSTALL_PREFIX=install -DSLEEF_SHOW_CONFIG=1 -DSLEEF_SHOW_ERROR_LOG=1 -DENFORCE_TESTER3=TRUE %ENV_BUILD_STATIC%
 build_script:
   - cmake --build . --target install --config Release
 test_script:

src/libm-tester/CMakeLists.txt

@@ -20,6 +20,22 @@ string(CONCAT CMAKE_C_FLAGS ${SLEEF_C_FLAGS})
 
 #
 
+if (SLEEF_ARCH_X86)
+  set(TEST3_CINZ purec_scalar sse2 sse4 avx avx512fnofma)
+  set(TEST3_FINZ purecfma_scalar avx2128 avx2 avx512f)
+elseif(CMAKE_SYSTEM_PROCESSOR MATCHES "aarch64")
+  set(TEST3_CINZ purec_scalar advsimdnofma svenofma)
+  set(TEST3_FINZ purecfma_scalar advsimd sve)
+elseif(CMAKE_SYSTEM_PROCESSOR MATCHES "arm")
+  set(TEST3_CINZ purec_scalar)
+  set(TEST3_FINZ purecfma_scalar)
+elseif(CMAKE_SYSTEM_PROCESSOR MATCHES "^(powerpc|ppc)64")
+  set(TEST3_CINZ purec_scalar vsxnofma)
+  set(TEST3_FINZ purecfma_scalar vsx)
+endif()
+
+#
+
 function(add_test_iut IUT)
   if (LIB_MPFR)
     set(TESTER ${TARGET_TESTER})
@@ -136,6 +152,43 @@ macro(test_extension SIMD)
 	      endif()
       endforeach()
     endif()
+
+    if(NOT ${SIMD} STREQUAL NEON32 AND NOT ${SIMD} STREQUAL NEON32VFPV4 AND SLEEF_OPENSSL_FOUND)
+      # Build tester3
+      string(TOLOWER ${SIMD} SCSIMD)
+      set(T "tester3${SCSIMD}")
+      add_executable(${T} tester3.c tester3main.c testerutil.c)
+      target_compile_options(${T} PRIVATE ${FLAGS_ENABLE_${SIMD}})
+      target_compile_definitions(${T} PRIVATE ${COMMON_TARGET_DEFINITIONS} ${TESTER3_DEFINITIONS_${SIMD}})
+      set_target_properties(${T} PROPERTIES C_STANDARD 99)
+      target_link_libraries(${T} ${TARGET_LIBSLEEF} ${LIBM} ${SLEEF_OPENSSL_LIBRARIES})
+      target_include_directories(${T} PRIVATE ${SLEEF_OPENSSL_INCLUDE_DIR})
+      add_dependencies(${T} ${TARGET_HEADERS})
+      add_dependencies(${T} ${TARGET_LIBSLEEF})
+
+      # Add test with tester3
+      list(FIND TEST3_CINZ ${SCSIMD} INDEX_TEST3_CINZ)
+      if (NOT INDEX_TEST3_CINZ EQUAL -1)
+	if (SDE_COMMAND)
+	  add_test(NAME tester3${SCSIMD} COMMAND ${SDE_COMMAND} "--" ${CMAKE_RUNTIME_OUTPUT_DIRECTORY}/tester3${SCSIMD} ${CMAKE_SOURCE_DIR}/src/libm-tester/hash_cinz.txt)
+	elseif(EMULATOR)
+	  add_test(NAME tester3${SCSIMD} COMMAND ${EMULATOR} ${CMAKE_RUNTIME_OUTPUT_DIRECTORY}/tester3${SCSIMD} ${CMAKE_SOURCE_DIR}/src/libm-tester/hash_cinz.txt)
+	else()
+	  add_test(NAME tester3${SCSIMD} COMMAND tester3${SCSIMD} ${CMAKE_SOURCE_DIR}/src/libm-tester/hash_cinz.txt)
+	endif()
+      endif()
+
+      list(FIND TEST3_FINZ ${SCSIMD} INDEX_TEST3_FINZ)
+      if (NOT INDEX_TEST3_FINZ EQUAL -1)
+	if (SDE_COMMAND)
+	  add_test(NAME tester3${SCSIMD} COMMAND ${SDE_COMMAND} "--" ${CMAKE_RUNTIME_OUTPUT_DIRECTORY}/tester3${SCSIMD} ${CMAKE_SOURCE_DIR}/src/libm-tester/hash_finz.txt)
+	elseif(EMULATOR)
+	  add_test(NAME tester3${SCSIMD} COMMAND ${EMULATOR} ${CMAKE_RUNTIME_OUTPUT_DIRECTORY}/tester3${SCSIMD} ${CMAKE_SOURCE_DIR}/src/libm-tester/hash_finz.txt)
+	else()
+	  add_test(NAME tester3${SCSIMD} COMMAND tester3${SCSIMD} ${CMAKE_SOURCE_DIR}/src/libm-tester/hash_finz.txt)
+	endif()
+      endif()
+    endif()
   endif(COMPILER_SUPPORTS_${SIMD})
 endmacro(test_extension)
 

src/libm-tester/hash_cinz.txt

@@ -0,0 +1,116 @@
+sin u35 ec03e7577871ef943c4b1ca6a485d08c
+sin u10 0f8444e11d3779dc4c28f3db353607bf
+cos u35 b87d0826f08562a17c71125d39fb5919
+cos u10 9f9e4f5f3d2d84deeab3829375054fe8
+tan u35 b04ff8785a7c98694842004ccb3da186
+tan u10 9a4e53fd7e9245c7c1c8cb9cd30b1644
+sincos u10 7c164edcaa45988f6165b653fc76c495
+sincos u35 38fe7e261e184ed8dbf432ce6bedc5c4
+sincospi u05 0c6fc00c7aaf0b6e67d66542d1be833d
+sincospi u35 c428b0fc3e6c5be4d2c03dcd8bb27a7c
+log u10 4855b27222d900bea47a27cadba71727
+log u35 9c60b59cc6bba46d016798b97ea939c2
+log10 u10 ee979872a5a5181905eb7d04eefb3870
+log1p u10 1383924fb56cf2e7eda27de21320c591
+exp u10 1a8756694ca98254c4d872646b639721
+exp2 u10 6aeddf0a30622490d3fabbe4851e3e7a
+exp10 u10 9d704b310f683872a6446cfc97726a4d
+expm1 u10 374817f0728c57b0ec019c3bfb141a79
+pow u10 15d42c41ce130c3a61fff3686632c8ce
+cbrt u10 5d8bf28ac74624594fd1be9217817690
+cbrt u10 3c896e03746bcf1b3f70182dfec3d93b
+cbrt u35 73daa306764e208aab1627ac110b10d7
+cbrt u35 c29b7bf200215425b4ba948c8cc94c42
+hypot u05 cc2f18e409e19a02cadf7b91fd869120
+hypot u35 5194e0a554174a6145511ce3df9c1f46
+asin u10 bae9eb3b4f484295f3f8641e61808dc6
+asin u35 9bea0a03680e83cbd198262ecdb37e28
+acos u10 1c435f5e072ad2fe458ed3cb7d61efdb
+acos u35 c7f12cdf2aa9b68b0476053d1727b42f
+atan u10 1f13ac8525edc54818f136bd9cd8ac46
+atan u10 2b2309e489a92e208e83d1641301e59c
+atan u35 c62cfeb4fa325a5b85613723723b1d98
+atan u35 515a88bf70e307daee25f24178e3791a
+atan2 u10 b3cbe8bf7c3a75c4eb1a767e2331b5ca
+atan2 u35 07060ed63483b89fb3c27840d200d747
+sinh u10 25b8333e58c6a39e5b0f8ba085b218ef
+cosh u10 beb5e63186c0d580e11333e206aa31b1
+tanh u10 2bb9dd54ed0fa22bb5f3b6d557eb58a3
+asinh u10 01136e54e2a434839530dda54f33cfdb
+acosh u10 2f3c28c9ee2eb2b3d5659c6cb2a58e3e
+atanh u10 601a77ba8c1d5175f2808b48a41260c1
+lgamma u10 90cdc41063f4198c6ad592c0cdd0f5da
+tgamma u10 74ac3717702a9586553f83cd9abfce6e
+erf u10 4031f3e285101359aea99feb5e2de3f0
+erfc u15 9b6e3d08a9d409154bcbf0ab8315f0bd
+fabs  bef2f2ac8a4789357e580b4da4f9b9fe
+copysign  3219022f267464e3704f90558e8df3bc
+fmax  4e4f5220ccfef191864c316df0d18fc0
+fmin  c0f8effb6c611e2b3b91b820ad943f62
+fdim  e876d103931f18ceede5bfd7e3df7ab0
+fmod  618aa751e13012afdb41ec80dd35e6ba
+modf  f03ce73cd4f9ea7f69c017f6e53355d5
+nextafter  9eba4e30d12d74dc4e8003fcff0f1582
+trunc  1bc7e909eba121dcef7f0e4046937ae5
+floor  2cff66b499dc8a30cec9467de659b774
+ceil  b080e632dcb8f8134d8715752be12917
+round  8907e21687ca9c2a539297536e754950
+rint  e49f837096bc661fe1c742801dd99a30
+sinf u35 833d845950b9cbb025629fe4c040f8f6
+sinf u10 9c21afa4d7d6af3fc666309c3cd647fe
+cosf u35 74d7f871a6553cd0019087895e2052ad
+cosf u10 35349e94c323c1614f22093959288010
+tanf u35 5412973e369bb09dc7d506823b6fb4e9
+tanf u10 227423bc04f42d76a8f68082ba696126
+sincosf u10 83ecc4e3d5295056e9d8c52bc196b666
+sincosf u35 533319caa49a961e4909bd6dcab40721
+sincospif u05 8b3762b67a661957c1414c351ec49034
+sincospif u35 cec15ed76a358091632634166fa77b66
+logf u10 c5a90119943acc4199e1cc7030b5def8
+logf u35 af2fbe4bfa2caaf59c734e3749dd15be
+log10f u10 7e235a82d960e4434575dd39648d8bb7
+log1pf u10 350fc4f13502b36bb1107e1b1122acb1
+expf u10 ee4adaabefa3fac6c0f1925b2a948eea
+exp2f u10 b0d283dbae0f36f1b3c7eed9871f0d0d
+exp10f u10 ba6b659a6ac3945fcb602c73623b6ff2
+expm1f u10 ebfd6498cb40f61b609882de8a7f3c74
+powf u10 a7cba3239c87969662e8b41a4dd8b4ab
+cbrtf u10 01c5cac23fe21638be1c3eab6e368fd6
+cbrtf u10 2a245b03f83e9114644d03b40dac707b
+cbrtf u35 3ce62350fd585f0524a12c974fbe6cf5
+cbrtf u35 2aca0404626a28f7af7f60105ad6e217
+hypotf u05 bc5971cbeebee27b4c0d91fbe3f6bf30
+hypotf u35 a6f0f774b346a6bba08889ff9ba3f193
+asinf u10 7f77f7453b961512c89e87e49c549cfe
+asinf u35 22ed8760aa328e1f714031eec592a4d8
+acosf u10 15617dd0429b90e59d2923415934c2a6
+acosf u35 af0b132d9e263721f9296187dbf9b9bf
+atanf u10 26b77fb423104b45633cf24500237d6e
+atanf u10 4313d0bc2708de53f74d804aac6564d4
+atanf u35 12c1b3ad574c3cbf642690ab13bf27d1
+atanf u35 a112a95870d110dddf8a4aa7e877c556
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