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prep Montgomery 2^k-ary pow for benchmarking
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-239
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10 files changed

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-239
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‎modular_arithmetic/CMakeLists.txt‎

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@@ -75,7 +75,7 @@ include(FetchContent)
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FetchContent_Declare(
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hurchalla_util
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GIT_REPOSITORY https://github.com/hurchalla/util.git
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GIT_TAG ea4d95c8852d8351cbd1529bbb48a9c10e7d61bf
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GIT_TAG 8e03b87c7b6d5c3bf3c0e439a153768c59c512c5
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)
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FetchContent_MakeAvailable(hurchalla_util)
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‎montgomery_arithmetic/CMakeLists.txt‎

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@@ -80,7 +80,7 @@ include(FetchContent)
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FetchContent_Declare(
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hurchalla_util
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GIT_REPOSITORY https://github.com/hurchalla/util.git
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GIT_TAG ea4d95c8852d8351cbd1529bbb48a9c10e7d61bf
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GIT_TAG 8e03b87c7b6d5c3bf3c0e439a153768c59c512c5
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)
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FetchContent_MakeAvailable(hurchalla_util)
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‎montgomery_arithmetic/include/hurchalla/montgomery_arithmetic/detail/experimental/montgomery_pow_2kary/experimental_montgomery_pow_2kary.h‎

Lines changed: 352 additions & 49 deletions
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‎montgomery_arithmetic/include/hurchalla/montgomery_arithmetic/detail/experimental/montgomery_pow_2kary/testbench_2kary.sh‎

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Original file line numberDiff line numberDiff line change
@@ -7,39 +7,22 @@
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# file, You can obtain one at https://mozilla.org/MPL/2.0/.
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99

10-
exit_on_failure () {
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if [ $? -ne 0 ]; then
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exit 1
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fi
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}
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#cppcompiler=g++
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#cppcompiler=clang++
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cppcompiler=$1
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#optimization_level=O2
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#optimization_level=O3
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optimization_level=$2
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#define_mont_type=-DDEF_MONT_TYPE=MontgomeryQuarter<U>
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define_mont_type=-DDEF_MONT_TYPE=$3
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define_uint_type=-DDEF_UINT_TYPE=$4
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cpp_standard=c++17
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# You need to clone the util, factoring, and modular_arithmetic repos
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# from https://github.com/hurchalla
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# SET repo_directory TO THE DIRECTORY WHERE YOU CLONED THE HURCHALLA GIT
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# REPOSITORIES. (or otherwise ensure the compiler /I flags correctly specify
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# the needed hurchalla include directories)
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repo_directory=/Users/jeffreyhurchalla/Desktop
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#repo_directory=/home/jeff/repos
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# you would ordinarily use either g++ or clang++ for $1
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cppcompiler=$1
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if [[ $cppcompiler == "g++" ]]; then
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error_limit=-fmax-errors=3
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# You can use arguments $8 and $9 and ${10} etc to define macros such as
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exit_on_failure () {
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if [ $? -ne 0 ]; then
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exit 1
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fi
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}
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#optimization_level=O2
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#optimization_level=O3
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optimization_level=$2
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#define_mont_type=-DDEF_MONT_TYPE=MontgomeryQuarter
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define_mont_type=-DDEF_MONT_TYPE=$3
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define_uint_type=-DDEF_UINT_TYPE=$4
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# you must specify either -DTEST_ARRAY or -DTEST_SCALAR or -DTEST_PARTIAL_ARRAY for $8
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define_test_type=$8
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cpp_standard=c++17
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# You can use arguments $9 and ${10} and ${11} etc to define macros such as
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# -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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# for debugging, defining the following macros may be useful
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# -DHURCHALLA_CLOCKWORK_ENABLE_ASSERTS -DHURCHALLA_UTIL_ENABLE_ASSERTS
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# we could also use -g to get debug symbols (for lldb/gdb, and objdump)
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$cppcompiler \
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$cppcompiler \
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$error_limit -$optimization_level \
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$define_mont_type $define_uint_type $8 $9 ${10} ${11} ${12} ${13} ${14} \
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-Wall -Wextra -Wpedantic -Wconversion -Wsign-conversion $warn_nrvo \
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$define_mont_type $define_uint_type $define_test_type \
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$9 ${10} ${11} ${12} ${13} ${14} \
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-Wall -Wextra -Wpedantic -Wconversion -Wsign-conversion $warn_nrvo \
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-std=$cpp_standard \
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-I${repo_directory}/modular_arithmetic/modular_arithmetic/include \
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-I${repo_directory}/modular_arithmetic/montgomery_arithmetic/include \
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-I${repo_directory}/util/include \
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-c testbench_montgomery_pow_2kary.cpp
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$cppcompiler -$optimization_level -std=$cpp_standard -o testbench_montgomery_pow_2kary testbench_montgomery_pow_2kary.o -lm
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exit_on_failure
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$cppcompiler -$optimization_level -std=$cpp_standard -o testbench_montgomery_pow_2kary testbench_montgomery_pow_2kary.o -lm
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exit_on_failure
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./testbench_montgomery_pow_2kary $5 $6 $7
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# To give you an example of invoking this script at the command line:
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# ./testbench.sh clang++ O3 MontgomeryFull __uint128_t 191 8 50 -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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# ./testbench.sh clang++ O3 MontgomeryFull __uint128_t 191 8 50 -DTEST_ARRAY -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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‎montgomery_arithmetic/include/hurchalla/montgomery_arithmetic/detail/experimental/montgomery_pow_2kary/testbench_all_auto.sh‎

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#!/bin/bash
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# Copyright (c) 2025 Jeffrey Hurchalla.
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#
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# This Source Code Form is subject to the terms of the Mozilla Public
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# License, v. 2.0. If a copy of the MPL was not distributed with this
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# file, You can obtain one at https://mozilla.org/MPL/2.0/.
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invoke_test() {
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(
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set -e
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echo ""
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shift
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echo $@
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echo ""
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$@
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) 2>&1 | tee $1
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# Check if the subshell failed
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if [ "${PIPESTATUS[0]}" -ne 0 ]; then
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echo "One of the commands failed. Exiting."
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exit 1
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fi
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}
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invoke_test 64_quarter_gcc_asm_scalar.txt ./testbench_2kary.sh g++ O3 MontgomeryQuarter uint64_t 191 8 22 \
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-DTEST_SCALAR -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 64_quarter_gcc_asm_array.txt ./testbench_2kary.sh g++ O3 MontgomeryQuarter uint64_t 191 8 22 \
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-DTEST_ARRAY -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 64_quarter_gcc_asm_partial_array.txt ./testbench_2kary.sh g++ O3 MontgomeryQuarter uint64_t 191 8 22 \
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-DTEST_PARTIAL_ARRAY -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 64_quarter_clang_asm_scalar.txt ./testbench_2kary.sh clang++ O3 MontgomeryQuarter uint64_t 191 8 22 \
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-DTEST_SCALAR -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 64_quarter_clang_asm_array.txt ./testbench_2kary.sh clang++ O3 MontgomeryQuarter uint64_t 191 8 22 \
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-DTEST_ARRAY -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 64_quarter_clang_asm_partial_array.txt ./testbench_2kary.sh clang++ O3 MontgomeryQuarter uint64_t 191 8 22 \
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-DTEST_PARTIAL_ARRAY -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 64_quarter_gcc_noasm_scalar.txt ./testbench_2kary.sh g++ O3 MontgomeryQuarter uint64_t 191 8 22 \
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-DTEST_SCALAR
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invoke_test 64_quarter_gcc_noasm_array.txt ./testbench_2kary.sh g++ O3 MontgomeryQuarter uint64_t 191 8 22 \
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-DTEST_ARRAY
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invoke_test 64_quarter_gcc_noasm_partial_array.txt ./testbench_2kary.sh g++ O3 MontgomeryQuarter uint64_t 191 8 22 \
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-DTEST_PARTIAL_ARRAY
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invoke_test 64_quarter_clang_noasm_scalar.txt ./testbench_2kary.sh clang++ O3 MontgomeryQuarter uint64_t 191 8 22 \
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-DTEST_SCALAR
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invoke_test 64_quarter_clang_noasm_array.txt ./testbench_2kary.sh clang++ O3 MontgomeryQuarter uint64_t 191 8 22 \
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-DTEST_ARRAY
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invoke_test 64_quarter_clang_noasm_partial_array.txt ./testbench_2kary.sh clang++ O3 MontgomeryQuarter uint64_t 191 8 22 \
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-DTEST_PARTIAL_ARRAY
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invoke_test 64_half_gcc_asm_scalar.txt ./testbench_2kary.sh g++ O3 MontgomeryHalf uint64_t 191 8 22 \
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-DTEST_SCALAR -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 64_half_gcc_asm_array.txt ./testbench_2kary.sh g++ O3 MontgomeryHalf uint64_t 191 8 22 \
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-DTEST_ARRAY -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 64_half_gcc_asm_partial_array.txt ./testbench_2kary.sh g++ O3 MontgomeryHalf uint64_t 191 8 22 \
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-DTEST_PARTIAL_ARRAY -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 64_half_clang_asm_scalar.txt ./testbench_2kary.sh clang++ O3 MontgomeryHalf uint64_t 191 8 22 \
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-DTEST_SCALAR -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 64_half_clang_asm_array.txt ./testbench_2kary.sh clang++ O3 MontgomeryHalf uint64_t 191 8 22 \
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-DTEST_ARRAY -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 64_half_clang_asm_partial_array.txt ./testbench_2kary.sh clang++ O3 MontgomeryHalf uint64_t 191 8 22 \
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-DTEST_PARTIAL_ARRAY -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 64_half_gcc_noasm_scalar.txt ./testbench_2kary.sh g++ O3 MontgomeryHalf uint64_t 191 8 22 \
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-DTEST_SCALAR
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invoke_test 64_half_gcc_noasm_array.txt ./testbench_2kary.sh g++ O3 MontgomeryHalf uint64_t 191 8 22 \
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-DTEST_ARRAY
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invoke_test 64_half_gcc_noasm_partial_array.txt ./testbench_2kary.sh g++ O3 MontgomeryHalf uint64_t 191 8 22 \
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-DTEST_PARTIAL_ARRAY
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invoke_test 64_half_clang_noasm_scalar.txt ./testbench_2kary.sh clang++ O3 MontgomeryHalf uint64_t 191 8 22 \
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-DTEST_SCALAR
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invoke_test 64_half_clang_noasm_array.txt ./testbench_2kary.sh clang++ O3 MontgomeryHalf uint64_t 191 8 22 \
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-DTEST_ARRAY
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invoke_test 64_half_clang_noasm_partial_array.txt ./testbench_2kary.sh clang++ O3 MontgomeryHalf uint64_t 191 8 22 \
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-DTEST_PARTIAL_ARRAY
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invoke_test 64_full_gcc_asm_scalar.txt ./testbench_2kary.sh g++ O3 MontgomeryFull uint64_t 191 8 22 \
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-DTEST_SCALAR -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 64_full_gcc_asm_array.txt ./testbench_2kary.sh g++ O3 MontgomeryFull uint64_t 191 8 22 \
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-DTEST_ARRAY -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 64_full_gcc_asm_partial_array.txt ./testbench_2kary.sh g++ O3 MontgomeryFull uint64_t 191 8 22 \
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-DTEST_PARTIAL_ARRAY -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 64_full_clang_asm_scalar.txt ./testbench_2kary.sh clang++ O3 MontgomeryFull uint64_t 191 8 22 \
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-DTEST_SCALAR -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 64_full_clang_asm_array.txt ./testbench_2kary.sh clang++ O3 MontgomeryFull uint64_t 191 8 22 \
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-DTEST_ARRAY -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 64_full_clang_asm_partial_array.txt ./testbench_2kary.sh clang++ O3 MontgomeryFull uint64_t 191 8 22 \
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-DTEST_PARTIAL_ARRAY -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 64_full_gcc_noasm_scalar.txt ./testbench_2kary.sh g++ O3 MontgomeryFull uint64_t 191 8 22 \
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-DTEST_SCALAR
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invoke_test 64_full_gcc_noasm_array.txt ./testbench_2kary.sh g++ O3 MontgomeryFull uint64_t 191 8 22 \
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-DTEST_ARRAY
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invoke_test 64_full_gcc_noasm_partial_array.txt ./testbench_2kary.sh g++ O3 MontgomeryFull uint64_t 191 8 22 \
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-DTEST_PARTIAL_ARRAY
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invoke_test 64_full_clang_noasm_scalar.txt ./testbench_2kary.sh clang++ O3 MontgomeryFull uint64_t 191 8 22 \
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-DTEST_SCALAR
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invoke_test 64_full_clang_noasm_array.txt ./testbench_2kary.sh clang++ O3 MontgomeryFull uint64_t 191 8 22 \
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-DTEST_ARRAY
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invoke_test 64_full_clang_noasm_partial_array.txt ./testbench_2kary.sh clang++ O3 MontgomeryFull uint64_t 191 8 22 \
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-DTEST_PARTIAL_ARRAY
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invoke_test 128_quarter_gcc_asm_scalar.txt ./testbench_2kary.sh g++ O3 MontgomeryQuarter __uint128_t 191 8 40 \
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-DTEST_SCALAR -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 128_quarter_gcc_asm_array.txt ./testbench_2kary.sh g++ O3 MontgomeryQuarter __uint128_t 191 8 40 \
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-DTEST_ARRAY -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 128_quarter_gcc_asm_partial_array.txt ./testbench_2kary.sh g++ O3 MontgomeryQuarter __uint128_t 191 8 40 \
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-DTEST_PARTIAL_ARRAY -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 128_quarter_clang_asm_scalar.txt ./testbench_2kary.sh clang++ O3 MontgomeryQuarter __uint128_t 191 8 40 \
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-DTEST_SCALAR -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 128_quarter_clang_asm_array.txt ./testbench_2kary.sh clang++ O3 MontgomeryQuarter __uint128_t 191 8 40 \
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-DTEST_ARRAY -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 128_quarter_clang_asm_partial_array.txt ./testbench_2kary.sh clang++ O3 MontgomeryQuarter __uint128_t 191 8 40 \
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-DTEST_PARTIAL_ARRAY -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 128_quarter_gcc_noasm_scalar.txt ./testbench_2kary.sh g++ O3 MontgomeryQuarter __uint128_t 191 8 40 \
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-DTEST_SCALAR
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invoke_test 128_quarter_gcc_noasm_array.txt ./testbench_2kary.sh g++ O3 MontgomeryQuarter __uint128_t 191 8 40 \
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-DTEST_ARRAY
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invoke_test 128_quarter_gcc_noasm_partial_array.txt ./testbench_2kary.sh g++ O3 MontgomeryQuarter __uint128_t 191 8 40 \
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-DTEST_PARTIAL_ARRAY
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invoke_test 128_quarter_clang_noasm_scalar.txt ./testbench_2kary.sh clang++ O3 MontgomeryQuarter __uint128_t 191 8 40 \
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-DTEST_SCALAR
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invoke_test 128_quarter_clang_noasm_array.txt ./testbench_2kary.sh clang++ O3 MontgomeryQuarter __uint128_t 191 8 40 \
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-DTEST_ARRAY
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invoke_test 128_quarter_clang_noasm_partial_array.txt ./testbench_2kary.sh clang++ O3 MontgomeryQuarter __uint128_t 191 8 40 \
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-DTEST_PARTIAL_ARRAY
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invoke_test 128_half_gcc_asm_scalar.txt ./testbench_2kary.sh g++ O3 MontgomeryHalf __uint128_t 191 8 40 \
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-DTEST_SCALAR -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 128_half_gcc_asm_array.txt ./testbench_2kary.sh g++ O3 MontgomeryHalf __uint128_t 191 8 40 \
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-DTEST_ARRAY -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 128_half_gcc_asm_partial_array.txt ./testbench_2kary.sh g++ O3 MontgomeryHalf __uint128_t 191 8 40 \
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-DTEST_PARTIAL_ARRAY -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 128_half_clang_asm_scalar.txt ./testbench_2kary.sh clang++ O3 MontgomeryHalf __uint128_t 191 8 40 \
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-DTEST_SCALAR -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 128_half_clang_asm_array.txt ./testbench_2kary.sh clang++ O3 MontgomeryHalf __uint128_t 191 8 40 \
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-DTEST_ARRAY -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 128_half_clang_asm_partial_array.txt ./testbench_2kary.sh clang++ O3 MontgomeryHalf __uint128_t 191 8 40 \
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-DTEST_PARTIAL_ARRAY -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 128_half_gcc_noasm_scalar.txt ./testbench_2kary.sh g++ O3 MontgomeryHalf __uint128_t 191 8 40 \
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-DTEST_SCALAR
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invoke_test 128_half_gcc_noasm_array.txt ./testbench_2kary.sh g++ O3 MontgomeryHalf __uint128_t 191 8 40 \
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-DTEST_ARRAY
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invoke_test 128_half_gcc_noasm_partial_array.txt ./testbench_2kary.sh g++ O3 MontgomeryHalf __uint128_t 191 8 40 \
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-DTEST_PARTIAL_ARRAY
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invoke_test 128_half_clang_noasm_scalar.txt ./testbench_2kary.sh clang++ O3 MontgomeryHalf __uint128_t 191 8 40 \
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-DTEST_SCALAR
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invoke_test 128_half_clang_noasm_array.txt ./testbench_2kary.sh clang++ O3 MontgomeryHalf __uint128_t 191 8 40 \
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-DTEST_ARRAY
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invoke_test 128_half_clang_noasm_partial_array.txt ./testbench_2kary.sh clang++ O3 MontgomeryHalf __uint128_t 191 8 40 \
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-DTEST_PARTIAL_ARRAY
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invoke_test 128_full_gcc_asm_scalar.txt ./testbench_2kary.sh g++ O3 MontgomeryFull __uint128_t 191 8 40 \
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-DTEST_SCALAR -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 128_full_gcc_asm_array.txt ./testbench_2kary.sh g++ O3 MontgomeryFull __uint128_t 191 8 40 \
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-DTEST_ARRAY -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 128_full_gcc_asm_partial_array.txt ./testbench_2kary.sh g++ O3 MontgomeryFull __uint128_t 191 8 40 \
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-DTEST_PARTIAL_ARRAY -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 128_full_clang_asm_scalar.txt ./testbench_2kary.sh clang++ O3 MontgomeryFull __uint128_t 191 8 40 \
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-DTEST_SCALAR -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 128_full_clang_asm_array.txt ./testbench_2kary.sh clang++ O3 MontgomeryFull __uint128_t 191 8 40 \
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-DTEST_ARRAY -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 128_full_clang_asm_partial_array.txt ./testbench_2kary.sh clang++ O3 MontgomeryFull __uint128_t 191 8 40 \
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-DTEST_PARTIAL_ARRAY -DHURCHALLA_MONTGOMERY_TWO_POW_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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invoke_test 128_full_gcc_noasm_scalar.txt ./testbench_2kary.sh g++ O3 MontgomeryFull __uint128_t 191 8 40 \
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-DTEST_SCALAR
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invoke_test 128_full_gcc_noasm_array.txt ./testbench_2kary.sh g++ O3 MontgomeryFull __uint128_t 191 8 40 \
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-DTEST_ARRAY
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invoke_test 128_full_gcc_noasm_partial_array.txt ./testbench_2kary.sh g++ O3 MontgomeryFull __uint128_t 191 8 40 \
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-DTEST_PARTIAL_ARRAY
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invoke_test 128_full_clang_noasm_scalar.txt ./testbench_2kary.sh clang++ O3 MontgomeryFull __uint128_t 191 8 40 \
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-DTEST_SCALAR
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invoke_test 128_full_clang_noasm_array.txt ./testbench_2kary.sh clang++ O3 MontgomeryFull __uint128_t 191 8 40 \
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-DTEST_ARRAY
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invoke_test 128_full_clang_noasm_partial_array.txt ./testbench_2kary.sh clang++ O3 MontgomeryFull __uint128_t 191 8 40 \
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-DTEST_PARTIAL_ARRAY

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