Compare commits
34 Commits
| Author | SHA1 | Date |
|---|---|---|
 Tomasz Sowa
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Tomasz Sowa
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Tomasz Sowa
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35
CHANGELOG
35
CHANGELOG
|
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@ -1,3 +1,38 @@
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|||
Version 0.9.4_prerelease (....):
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* fixed: cannot compile on MS Windows when compiling with GCC (Mingw) for 64 bit platform:
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incorrect size of ttmath::uint and ::sint were used
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they were 'long' but 'long' is a 32bit type on Windows
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* fixed: a crash in Big::Add() (buffer overflow)
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there was an offset calculated from Int type by using Abs() method and a carry was not checked
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(if there is a carry we should not make addition -- the argument is too small)
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this had no impact on calculated values because there was a crash (bus error) immediately
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following program could crash (64bit):
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typedef ttmath::Big<1, 8> MyBig;
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ttmath::Parser<MyBig> parser;
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parser.Parse("2^(2^63) + 1");
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* fixed: similar problems were in methods Big::BitAnd() Big::BitOr() and Big::BitXor() (bitwise operations)
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and they could return incorrect values
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* fixed: in x86_64 asm code (*.asm for Win64) there was in some places esp register used,
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there should be rsp used instead
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this affects MS Windows users when they use the asm version (ttmathuint_x86_64_msvc.asm)
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Version 0.9.3 (2012.11.28):
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* fixed: in Big::FromDouble(double value) (only 32 bit version)
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buffer overflow in referencing to UInt<2>
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this was used when 'value' was in so called "unnormalized" state
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(E=0 and F is nonzero)
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it produced incorrect mantissa (on about 8th decimal digit up)
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* added: Parser::InitCGamma()
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initializing coefficients used when calculating the gamma (or factorial) function
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this speed up the next calculations
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you don't have to call this method explicitly
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these coefficients will be calculated when needed
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* added: option 'group_digits' to Conv struct
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you can set how many digits should be grouped
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* changed: small optimizations in UInt::ToString() and Big::FromString()
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Version 0.9.2 (2010.09.23):
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* fixed: Big::Add() sometimes incorrectly rounded the last bit from its mantissa
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* fixed: Big::BigAnd() Big::BigOr() Big::BigXor() should have set NaN
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|||
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@ -0,0 +1,6 @@
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# CMake configuration for ttmath
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cmake_minimum_required (VERSION 3.0)
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project(ttmath)
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enable_testing()
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include_directories(${ttmath_SOURCE_DIR})
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add_subdirectory(samples)
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@ -1,4 +1,4 @@
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Copyright (c) 2006-2010, Tomasz Sowa
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Copyright (c) 2006-2017, Tomasz Sowa
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All rights reserved.
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||||
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Redistribution and use in source and binary forms, with or without
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|
|
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|||
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@ -1,6 +1,6 @@
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o = main.o
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CC = g++
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CFLAGS = -s -O2 -DTTMATH_CONSTANTSGENERATOR
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CC = clang++
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||||
CFLAGS = -O2 -DTTMATH_CONSTANTSGENERATOR
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name = gen
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||||
|
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@ -13,7 +13,7 @@ name = gen
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all: $(name)
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|
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$(name): $(o)
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||||
$(CC) -o $(name) $(CFLAGS) $(o)
|
||||
$(CC) -o $(name) -s $(CFLAGS) $(o)
|
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|
||||
|
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|
||||
|
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|||
|
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@ -1,7 +1,7 @@
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/*
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||||
* This file is a part of TTMath Bignum Library
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* and is distributed under the (new) BSD licence.
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* Author: Tomasz Sowa <t.sowa@slimaczek.pl>
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* and is distributed under the 3-Clause BSD Licence.
|
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* Author: Tomasz Sowa <t.sowa@ttmath.org>
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||||
*/
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|
||||
/*
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||||
|
|
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|||
3749
doxygen.cfg
3749
doxygen.cfg
File diff suppressed because it is too large
Load Diff
|
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@ -0,0 +1,137 @@
|
|||
#!/usr/bin/env bash
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||||
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a=""
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||||
b=""
|
||||
c=""
|
||||
p=""
|
||||
d=""
|
||||
doxygen=""
|
||||
|
||||
# reading until not empty
|
||||
|
||||
while [ -z $a ]
|
||||
do
|
||||
echo -n "Major: " ; read a
|
||||
done
|
||||
|
||||
|
||||
while [ -z $b ]
|
||||
do
|
||||
echo -n "Minor: " ; read b;
|
||||
done
|
||||
|
||||
|
||||
while [ -z $c ]
|
||||
do
|
||||
echo -n "Revision: " ; read c;
|
||||
done
|
||||
|
||||
|
||||
while [ -z $p ]
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||||
do
|
||||
echo -n "Prerelease? (y/n): " ; read p;
|
||||
done
|
||||
|
||||
|
||||
while [ -z $d ]
|
||||
do
|
||||
echo -n "Add date? (y/n): " ; read d;
|
||||
done
|
||||
|
||||
|
||||
while [ -z $doxygen ]
|
||||
do
|
||||
echo -n "Clean make and add to the package doxygen doc? (y/n): " ; read doxygen;
|
||||
done
|
||||
|
||||
|
||||
mkdir -p releases
|
||||
package_dir_name="ttmath-$a.$b.$c"
|
||||
datestr=""
|
||||
|
||||
|
||||
if [ $p = "y" -o $p = "Y" ]
|
||||
then
|
||||
package_dir_name=${package_dir_name}.prerelease
|
||||
fi
|
||||
|
||||
package_dir_name=${package_dir_name}-src
|
||||
|
||||
if [ $d = "y" -o $d = "Y" ]
|
||||
then
|
||||
datestr=`/bin/date "+%G.%m.%d"`;
|
||||
package_dir_name=${package_dir_name}-$datestr
|
||||
fi
|
||||
|
||||
|
||||
|
||||
|
||||
dir="releases/"${package_dir_name}
|
||||
package=${package_dir_name}.tar.gz
|
||||
|
||||
|
||||
if [ -d $dir ]
|
||||
then
|
||||
echo "Directory $dir exists! (exiting)";
|
||||
exit 1;
|
||||
fi
|
||||
|
||||
if [ -f "releases/"${package} ] ; then
|
||||
echo "File releases/${package} exists! (exiting)"
|
||||
exit 1;
|
||||
fi
|
||||
|
||||
|
||||
mkdir $dir
|
||||
|
||||
|
||||
|
||||
if [ $doxygen = "y" -o $doxygen = "Y" ]
|
||||
then
|
||||
|
||||
echo "------------------------------------------------------"
|
||||
echo "creating doxygen doc"
|
||||
echo "------------------------------------------------------"
|
||||
|
||||
rm -rf doc/doxygen
|
||||
doxygen doxygen.cfg
|
||||
|
||||
cp -r doc $dir/
|
||||
fi
|
||||
|
||||
|
||||
echo "------------------------------------------------------"
|
||||
echo "make clean in samples"
|
||||
echo "------------------------------------------------------"
|
||||
|
||||
make -C samples clean
|
||||
make -C constgen clean
|
||||
|
||||
|
||||
echo "------------------------------------------------------"
|
||||
echo "making source package"
|
||||
echo "------------------------------------------------------"
|
||||
|
||||
mkdir $dir/ttmath
|
||||
mkdir $dir/samples
|
||||
mkdir $dir/res
|
||||
|
||||
cp ttmath/* $dir/ttmath/
|
||||
|
||||
cp samples/* $dir/samples/
|
||||
# cmake is not ready yet (cmake will generate Makefile which overwrites our own one)
|
||||
rm $dir/samples/CMakeLists.txt
|
||||
|
||||
cp COPYRIGHT $dir/
|
||||
cp README $dir/
|
||||
cp CHANGELOG $dir/
|
||||
|
||||
cp res/ttmath_logo.svg $dir/res/
|
||||
|
||||
cd releases
|
||||
tar -czf $package ${package_dir_name}
|
||||
|
||||
echo "the package has been created to:" releases/${package}
|
||||
|
||||
exit 0
|
||||
|
||||
|
|
@ -0,0 +1,96 @@
|
|||
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d="m 374.0625,438.21875 c -1.68685,0.1362 -5.3125,0.8125 -5.3125,0.8125 l -0.125,0.0312 -0.0625,0.125 -1.375,2.09375 -0.0312,0.0625 0,0.0937 0.1875,6.15625 0.0312,0.15625 0.125,0.0937 0.3125,0.21875 0.5,0.3125 -0.0312,-0.59375 -0.0937,-5.90625 c 0.081,-0.0694 0.35604,-0.32331 0.6875,-0.4375 l 0.0312,0 c 0.0323,-0.01 0.0883,0.01 0.125,0 l 1.46875,-0.0937 c 0.1093,0.60186 0.39332,1.20774 0.4812,1.8125 1.27397,-0.0782 2.40491,-0.17552 3.5031,-0.16892 1.08715,0.0103 2.17115,0.13001 3.2344,0.12517 l 0.0312,-0.6125 c 0,0 0.0422,-0.16533 0.0625,-0.28125 l 0.40625,-0.9375 c 0.004,-0.005 -0.004,-0.0267 0,-0.0312 l 0.0312,0 c 0.17093,-0.1709 0.53319,-0.25585 0.8125,-0.375 0.26159,-0.11159 0.42068,-0.28594 0.75,-0.375 l 0.0312,0 0.125,-0.0312 2.28125,-0.1875 0.0312,0 0.28125,0 0,-0.0312 0,-0.28125 0,-0.71875 0,-0.25 -0.25,-0.0625 -3.75,-0.71875 c -0.0114,-10e-4 -0.02,0.001 -0.0312,0 -1.37083,-0.13192 -2.78705,-0.1247 -4.40625,0 l -0.0312,0 -0.0312,0 z"
|
||||
id="path3017-6"
|
||||
inkscape:connector-curvature="0"
|
||||
sodipodi:nodetypes="ccccccccccccccccccccccccccsccccccccccccccccc" />
|
||||
</g>
|
||||
</svg>
|
||||
|
After Width: | Height: | Size: 8.7 KiB |
Binary file not shown.
|
After Width: | Height: | Size: 2.9 KiB |
|
|
@ -0,0 +1,16 @@
|
|||
# CMake configuration for ttmath/samples
|
||||
|
||||
# Building with Visual C++ x86_64 needs to compile the asm utilities first
|
||||
if (MSVC AND "x${CMAKE_VS_PLATFORM_NAME}" STREQUAL "xx64")
|
||||
set(TTMATH_MSVC64_ASM ttmathuint_x86_64_msvc.asm)
|
||||
enable_language(ASM_MASM)
|
||||
message(STATUS "Enabled MASM to compile '${TTMATH_MSVC64_ASM}'")
|
||||
set(TTMATH_SRC_ASM ${ttmath_SOURCE_DIR}/ttmath/${TTMATH_MSVC64_ASM})
|
||||
endif()
|
||||
|
||||
set(SAMPLES big big2 int uint parser)
|
||||
foreach(sample ${SAMPLES})
|
||||
add_executable(${sample} ${sample}.cpp ${TTMATH_SRC_ASM})
|
||||
# Allow to run all utilities at once as a test
|
||||
add_test(${sample} ${sample})
|
||||
endforeach()
|
||||
|
|
@ -1,5 +1,6 @@
|
|||
CC = g++
|
||||
CFLAGS = -Wall -pedantic -s -O2 -I.. -DTTMATH_DONT_USE_WCHAR
|
||||
#CC = clang++
|
||||
CFLAGS = -Wall -pedantic -O2 -I.. -DTTMATH_DONT_USE_WCHAR
|
||||
|
||||
|
||||
.SUFFIXES: .cpp .o
|
||||
|
|
@ -12,19 +13,19 @@ all: uint int big big2 parser
|
|||
|
||||
|
||||
uint: uint.o
|
||||
$(CC) -o uint $(CFLAGS) uint.o
|
||||
$(CC) -o uint -s $(CFLAGS) uint.o
|
||||
|
||||
int: int.o
|
||||
$(CC) -o int $(CFLAGS) int.o
|
||||
$(CC) -o int -s $(CFLAGS) int.o
|
||||
|
||||
big: big.o
|
||||
$(CC) -o big $(CFLAGS) big.o
|
||||
$(CC) -o big -s $(CFLAGS) big.o
|
||||
|
||||
big2: big2.o
|
||||
$(CC) -o big2 $(CFLAGS) big2.o
|
||||
$(CC) -o big2 -s $(CFLAGS) big2.o
|
||||
|
||||
parser: parser.o
|
||||
$(CC) -o parser $(CFLAGS) parser.o
|
||||
$(CC) -o parser -s $(CFLAGS) parser.o
|
||||
|
||||
|
||||
uint.o: uint.cpp
|
||||
|
|
@ -42,5 +43,5 @@ clean:
|
|||
rm -f big
|
||||
rm -f big2
|
||||
rm -f parser
|
||||
# on MS Windows can automatically be added suffixes .exe to the names of output programs
|
||||
# on MS Windows suffixes .exe will be automatically added
|
||||
rm -f *.exe
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
CC = g++
|
||||
CC = clang++
|
||||
o = main.o uinttest.o
|
||||
CFLAGS = -Wall -O2 -s
|
||||
CFLAGS = -Wall -O2
|
||||
ttmath = ..
|
||||
name = tests
|
||||
|
||||
|
|
@ -16,7 +16,7 @@ all: $(name)
|
|||
|
||||
|
||||
$(name): $(o)
|
||||
$(CC) -o $(name) $(CFLAGS) -I$(ttmath) $(o)
|
||||
$(CC) -o $(name) -s $(CFLAGS) -I$(ttmath) $(o)
|
||||
|
||||
|
||||
main.o: main.cpp uinttest.h
|
||||
|
|
|
|||
|
|
@ -1,7 +1,7 @@
|
|||
/*
|
||||
* This file is a part of TTMath Bignum Library
|
||||
* and is distributed under the (new) BSD licence.
|
||||
* Author: Tomasz Sowa <t.sowa@slimaczek.pl>
|
||||
* and is distributed under the 3-Clause BSD Licence.
|
||||
* Author: Tomasz Sowa <t.sowa@ttmath.org>
|
||||
*/
|
||||
|
||||
/*
|
||||
|
|
|
|||
|
|
@ -1,7 +1,7 @@
|
|||
/*
|
||||
* This file is a part of TTMath Bignum Library
|
||||
* and is distributed under the (new) BSD licence.
|
||||
* Author: Tomasz Sowa <t.sowa@slimaczek.pl>
|
||||
* and is distributed under the 3-Clause BSD Licence.
|
||||
* Author: Tomasz Sowa <t.sowa@ttmath.org>
|
||||
*/
|
||||
|
||||
/*
|
||||
|
|
|
|||
|
|
@ -1,7 +1,7 @@
|
|||
/*
|
||||
* This file is a part of TTMath Bignum Library
|
||||
* and is distributed under the (new) BSD licence.
|
||||
* Author: Tomasz Sowa <t.sowa@slimaczek.pl>
|
||||
* and is distributed under the 3-Clause BSD Licence.
|
||||
* Author: Tomasz Sowa <t.sowa@ttmath.org>
|
||||
*/
|
||||
|
||||
/*
|
||||
|
|
|
|||
|
|
@ -0,0 +1,133 @@
|
|||
#CC = g++6
|
||||
#CFLAGS = -Wall -pedantic -O3 -s -I.. -Wl,-rpath=/usr/local/lib/gcc6
|
||||
#CFLAGS = -Wall -pedantic -O3 -DTTMATH_NOASM -s -I.. -Wl,-rpath=/usr/local/lib/gcc6
|
||||
|
||||
CC = clang++
|
||||
CFLAGS = -Wall -pedantic -O3 -s -I..
|
||||
#CFLAGS = -Wall -pedantic -O3 -DTTMATH_NOASM -s -I..
|
||||
|
||||
|
||||
|
||||
.SUFFIXES: .cpp .o
|
||||
|
||||
.cpp.o:
|
||||
$(CC) -c $(CFLAGS) $<
|
||||
|
||||
|
||||
|
||||
|
||||
all: big_64_64 big_64_128 big_64_192 big_64_256 big_64_512 big_64_1024 big_64_2048 big_64_4096 big_128_512 big_256_1024 big_512_2048 big_128_4096
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
big_64_64: main.cpp
|
||||
$(CC) -o big_64_64 -s $(CFLAGS) -DTTMATH_TEST_BIG_EXPONENT=64 -DTTMATH_TEST_BIG_MANTISSA=64 main.cpp
|
||||
|
||||
big_64_128: main.cpp
|
||||
$(CC) -o big_64_128 -s $(CFLAGS) -DTTMATH_TEST_BIG_EXPONENT=64 -DTTMATH_TEST_BIG_MANTISSA=128 main.cpp
|
||||
|
||||
big_64_192: main.cpp
|
||||
$(CC) -o big_64_192 -s $(CFLAGS) -DTTMATH_TEST_BIG_EXPONENT=64 -DTTMATH_TEST_BIG_MANTISSA=192 main.cpp
|
||||
|
||||
big_64_256: main.cpp
|
||||
$(CC) -o big_64_256 -s $(CFLAGS) -DTTMATH_TEST_BIG_EXPONENT=64 -DTTMATH_TEST_BIG_MANTISSA=256 main.cpp
|
||||
|
||||
big_64_512: main.cpp
|
||||
$(CC) -o big_64_512 -s $(CFLAGS) -DTTMATH_TEST_BIG_EXPONENT=64 -DTTMATH_TEST_BIG_MANTISSA=512 main.cpp
|
||||
|
||||
big_64_1024: main.cpp
|
||||
$(CC) -o big_64_1024 -s $(CFLAGS) -DTTMATH_TEST_BIG_EXPONENT=64 -DTTMATH_TEST_BIG_MANTISSA=1024 main.cpp
|
||||
|
||||
big_64_2048: main.cpp
|
||||
$(CC) -o big_64_2048 -s $(CFLAGS) -DTTMATH_TEST_BIG_EXPONENT=64 -DTTMATH_TEST_BIG_MANTISSA=2048 main.cpp
|
||||
|
||||
big_64_4096: main.cpp
|
||||
$(CC) -o big_64_4096 -s $(CFLAGS) -DTTMATH_TEST_BIG_EXPONENT=64 -DTTMATH_TEST_BIG_MANTISSA=4096 main.cpp
|
||||
|
||||
big_128_512: main.cpp
|
||||
$(CC) -o big_128_512 -s $(CFLAGS) -DTTMATH_TEST_BIG_EXPONENT=128 -DTTMATH_TEST_BIG_MANTISSA=512 main.cpp
|
||||
|
||||
big_256_1024: main.cpp
|
||||
$(CC) -o big_256_1024 -s $(CFLAGS) -DTTMATH_TEST_BIG_EXPONENT=256 -DTTMATH_TEST_BIG_MANTISSA=1024 main.cpp
|
||||
|
||||
big_512_2048: main.cpp
|
||||
$(CC) -o big_512_2048 -s $(CFLAGS) -DTTMATH_TEST_BIG_EXPONENT=512 -DTTMATH_TEST_BIG_MANTISSA=2048 main.cpp
|
||||
|
||||
big_128_4096: main.cpp
|
||||
$(CC) -o big_128_4096 -s $(CFLAGS) -DTTMATH_TEST_BIG_EXPONENT=128 -DTTMATH_TEST_BIG_MANTISSA=4096 main.cpp
|
||||
|
||||
|
||||
|
||||
|
||||
test: all
|
||||
@echo "****************************************************************************"
|
||||
@echo "making tests for exponent=64 and mantissa=64"
|
||||
@echo "****************************************************************************"
|
||||
cat tests.txt | xargs -S 4096 -I foo ./big_64_64 "foo" | tee big_64_64.out
|
||||
|
||||
@echo "****************************************************************************"
|
||||
@echo "making tests for exponent=64 and mantissa=128"
|
||||
@echo "****************************************************************************"
|
||||
cat tests.txt | xargs -S 4096 -I foo ./big_64_128 "foo" | tee big_64_128.out
|
||||
|
||||
@echo "****************************************************************************"
|
||||
@echo "making tests for exponent=64 and mantissa=192"
|
||||
@echo "****************************************************************************"
|
||||
cat tests.txt | xargs -S 4096 -I foo ./big_64_192 "foo" | tee big_64_192.out
|
||||
|
||||
@echo "****************************************************************************"
|
||||
@echo "making tests for exponent=64 and mantissa=256"
|
||||
@echo "****************************************************************************"
|
||||
cat tests.txt | xargs -S 4096 -I foo ./big_64_256 "foo" | tee big_64_256.out
|
||||
|
||||
@echo "****************************************************************************"
|
||||
@echo "making tests for exponent=64 and mantissa=512"
|
||||
@echo "****************************************************************************"
|
||||
cat tests.txt | xargs -S 4096 -I foo ./big_64_512 "foo" | tee big_64_512.out
|
||||
|
||||
@echo "****************************************************************************"
|
||||
@echo "making tests for exponent=64 and mantissa=1024"
|
||||
@echo "****************************************************************************"
|
||||
cat tests.txt | xargs -S 4096 -I foo ./big_64_1024 "foo" | tee big_64_1024.out
|
||||
|
||||
@echo "****************************************************************************"
|
||||
@echo "making tests for exponent=64 and mantissa=2048"
|
||||
@echo "****************************************************************************"
|
||||
cat tests.txt | xargs -S 4096 -I foo ./big_64_2048 "foo" | tee big_64_2048.out
|
||||
|
||||
@echo "****************************************************************************"
|
||||
@echo "making tests for exponent=64 and mantissa=4096"
|
||||
@echo "****************************************************************************"
|
||||
cat tests.txt | xargs -S 4096 -I foo ./big_64_4096 "foo" | tee big_64_4096.out
|
||||
|
||||
@echo "****************************************************************************"
|
||||
@echo "making tests for exponent=128 and mantissa=512"
|
||||
@echo "****************************************************************************"
|
||||
cat tests.txt | xargs -S 4096 -I foo ./big_128_512 "foo" | tee big_128_512.out
|
||||
|
||||
@echo "****************************************************************************"
|
||||
@echo "making tests for exponent=128 and mantissa=4096"
|
||||
@echo "****************************************************************************"
|
||||
cat tests.txt | xargs -S 4096 -I foo ./big_128_4096 "foo" | tee big_128_4096.out
|
||||
|
||||
@echo "****************************************************************************"
|
||||
@echo "making tests for exponent=256 and mantissa=1024"
|
||||
@echo "****************************************************************************"
|
||||
cat tests.txt | xargs -S 4096 -I foo ./big_256_1024 "foo" | tee big_256_1024.out
|
||||
|
||||
@echo "****************************************************************************"
|
||||
@echo "making tests for exponent=512 and mantissa=2048"
|
||||
@echo "****************************************************************************"
|
||||
cat tests.txt | xargs -S 4096 -I foo ./big_512_2048 "foo" | tee big_512_2048.out
|
||||
|
||||
./check_files.sh
|
||||
|
||||
|
||||
clean:
|
||||
rm -f *.out
|
||||
rm -f big_64_64 big_64_128 big_64_192 big_64_256 big_64_512 big_64_1024 big_64_2048 big_64_4096 big_128_512 big_256_1024 big_512_2048 big_128_4096
|
||||
# on MS Windows suffixes .exe will be automatically added
|
||||
rm -f *.exe
|
||||
File diff suppressed because one or more lines are too long
File diff suppressed because one or more lines are too long
File diff suppressed because one or more lines are too long
File diff suppressed because one or more lines are too long
File diff suppressed because one or more lines are too long
File diff suppressed because it is too large
Load Diff
File diff suppressed because it is too large
Load Diff
File diff suppressed because one or more lines are too long
File diff suppressed because it is too large
Load Diff
File diff suppressed because one or more lines are too long
File diff suppressed because one or more lines are too long
File diff suppressed because it is too large
Load Diff
|
|
@ -0,0 +1,31 @@
|
|||
#!/bin/sh
|
||||
|
||||
was_error=0
|
||||
|
||||
for expected in *.expected ; do
|
||||
|
||||
out=`basename $expected .expected`.out
|
||||
|
||||
if [ -f $out ] ; then
|
||||
diff -u $out $expected
|
||||
|
||||
if [ `diff -u $out $expected | wc -l` -ne 0 ] ; then
|
||||
was_error=1
|
||||
fi
|
||||
else
|
||||
echo "there is no file: $out"
|
||||
was_error=1
|
||||
fi
|
||||
|
||||
done
|
||||
|
||||
|
||||
if [ $was_error -eq 0 ] ; then
|
||||
echo "****************************************************************************"
|
||||
echo " congratulations: all tests passed successfully"
|
||||
echo "****************************************************************************"
|
||||
else
|
||||
echo "****************************************************************************"
|
||||
echo " error: not all tests passed successfully"
|
||||
echo "****************************************************************************"
|
||||
fi
|
||||
|
|
@ -0,0 +1,39 @@
|
|||
#include <ttmath/ttmath.h>
|
||||
#include <iostream>
|
||||
|
||||
int main(int argc, char ** argv)
|
||||
{
|
||||
typedef ttmath::Big<TTMATH_BITS(TTMATH_TEST_BIG_EXPONENT), TTMATH_BITS(TTMATH_TEST_BIG_MANTISSA)> MyBig;
|
||||
ttmath::Parser<MyBig> parser;
|
||||
std::string all_input;
|
||||
|
||||
for(int i=1 ; i<argc ; ++i)
|
||||
{
|
||||
if( i > 1 )
|
||||
all_input += ' ';
|
||||
|
||||
all_input += argv[i];
|
||||
}
|
||||
|
||||
std::cout << all_input << " = ";
|
||||
ttmath::ErrorCode err = parser.Parse(all_input);
|
||||
|
||||
if( err == ttmath::err_ok )
|
||||
{
|
||||
for(size_t i=0 ; i < parser.stack.size() ; ++i)
|
||||
{
|
||||
if( i > 0 )
|
||||
std::cout << " ; ";
|
||||
|
||||
std::cout << parser.stack[i].value;
|
||||
}
|
||||
|
||||
std::cout << std::endl;
|
||||
}
|
||||
else
|
||||
{
|
||||
std::cout << "error: " << static_cast<int>(err) << std::endl;
|
||||
}
|
||||
|
||||
return 0;
|
||||
}
|
||||
File diff suppressed because it is too large
Load Diff
156
ttmath/ttmath.h
156
ttmath/ttmath.h
|
|
@ -1,11 +1,11 @@
|
|||
/*
|
||||
* This file is a part of TTMath Bignum Library
|
||||
* and is distributed under the (new) BSD licence.
|
||||
* and is distributed under the 3-Clause BSD Licence.
|
||||
* Author: Tomasz Sowa <t.sowa@ttmath.org>
|
||||
*/
|
||||
|
||||
/*
|
||||
* Copyright (c) 2006-2010, Tomasz Sowa
|
||||
* Copyright (c) 2006-2017, Tomasz Sowa
|
||||
* All rights reserved.
|
||||
*
|
||||
* Redistribution and use in source and binary forms, with or without
|
||||
|
|
@ -79,10 +79,12 @@ namespace ttmath
|
|||
|
||||
/*!
|
||||
this function skips the fraction from x
|
||||
e.g 2.2 = 2
|
||||
2.7 = 2
|
||||
-2.2 = 2
|
||||
-2.7 = 2
|
||||
|
||||
samples
|
||||
- 2.2 = 2
|
||||
- 2.7 = 2
|
||||
- -2.2 = 2
|
||||
- -2.7 = 2
|
||||
*/
|
||||
template<class ValueType>
|
||||
ValueType SkipFraction(const ValueType & x)
|
||||
|
|
@ -96,10 +98,12 @@ namespace ttmath
|
|||
|
||||
/*!
|
||||
this function rounds to the nearest integer value
|
||||
e.g 2.2 = 2
|
||||
2.7 = 3
|
||||
-2.2 = -2
|
||||
-2.7 = -3
|
||||
|
||||
samples
|
||||
- 2.2 = 2
|
||||
- 2.7 = 3
|
||||
- -2.2 = -2
|
||||
- -2.7 = -3
|
||||
*/
|
||||
template<class ValueType>
|
||||
ValueType Round(const ValueType & x, ErrorCode * err = 0)
|
||||
|
|
@ -127,12 +131,12 @@ namespace ttmath
|
|||
this function returns a value representing the smallest integer
|
||||
that is greater than or equal to x
|
||||
|
||||
Ceil(-3.7) = -3
|
||||
Ceil(-3.1) = -3
|
||||
Ceil(-3.0) = -3
|
||||
Ceil(4.0) = 4
|
||||
Ceil(4.2) = 5
|
||||
Ceil(4.8) = 5
|
||||
- Ceil(-3.7) = -3
|
||||
- Ceil(-3.1) = -3
|
||||
- Ceil(-3.0) = -3
|
||||
- Ceil(4.0) = 4
|
||||
- Ceil(4.2) = 5
|
||||
- Ceil(4.8) = 5
|
||||
*/
|
||||
template<class ValueType>
|
||||
ValueType Ceil(const ValueType & x, ErrorCode * err = 0)
|
||||
|
|
@ -174,12 +178,12 @@ namespace ttmath
|
|||
this function returns a value representing the largest integer
|
||||
that is less than or equal to x
|
||||
|
||||
Floor(-3.6) = -4
|
||||
Floor(-3.1) = -4
|
||||
Floor(-3) = -3
|
||||
Floor(2) = 2
|
||||
Floor(2.3) = 2
|
||||
Floor(2.8) = 2
|
||||
- Floor(-3.6) = -4
|
||||
- Floor(-3.1) = -4
|
||||
- Floor(-3) = -3
|
||||
- Floor(2) = 2
|
||||
- Floor(2.3) = 2
|
||||
- Floor(2.8) = 2
|
||||
*/
|
||||
template<class ValueType>
|
||||
ValueType Floor(const ValueType & x, ErrorCode * err = 0)
|
||||
|
|
@ -346,6 +350,9 @@ namespace ttmath
|
|||
/*
|
||||
this namespace consists of auxiliary functions
|
||||
(something like 'private' in a class)
|
||||
|
||||
this is excluded from doxygen documentation
|
||||
(option EXCLUDE_SYMBOLS in doxygen.cfg)
|
||||
*/
|
||||
namespace auxiliaryfunctions
|
||||
{
|
||||
|
|
@ -866,7 +873,8 @@ namespace ttmath
|
|||
if( err )
|
||||
*err = err_improper_argument;
|
||||
|
||||
return result; // NaN is set by default
|
||||
result.SetZeroNan();
|
||||
return result;
|
||||
}
|
||||
|
||||
if( x.IsSign() )
|
||||
|
|
@ -1611,15 +1619,16 @@ namespace ttmath
|
|||
minutes and seconds must be greater than or equal zero
|
||||
|
||||
result:
|
||||
if d>=0 : result= d + ((s/60)+m)/60
|
||||
if d<0 : result= d - ((s/60)+m)/60
|
||||
- if d>=0 : result= d + ((s/60)+m)/60
|
||||
- if d<0 : result= d - ((s/60)+m)/60
|
||||
|
||||
((s/60)+m)/60 = (s+60*m)/3600 (second version is faster because
|
||||
there's only one division)
|
||||
|
||||
for example:
|
||||
DegToDeg(10, 30, 0) = 10.5
|
||||
DegToDeg(10, 24, 35.6)=10.4098(8)
|
||||
samples:
|
||||
|
||||
- DegToDeg(10, 30, 0) = 10.5
|
||||
- DegToDeg(10, 24, 35.6)=10.4098(8)
|
||||
*/
|
||||
template<class ValueType>
|
||||
ValueType DegToDeg( const ValueType & d, const ValueType & m, const ValueType & s,
|
||||
|
|
@ -2050,18 +2059,19 @@ namespace ttmath
|
|||
|
||||
|
||||
/*!
|
||||
indexth Root of x
|
||||
caltulate the index'th Root of x
|
||||
|
||||
index must be integer and not negative <0;1;2;3....)
|
||||
|
||||
if index==0 the result is one
|
||||
if x==0 the result is zero and we assume root(0;0) is not defined
|
||||
- if index==0 the result is one
|
||||
- if x==0 the result is zero and we assume root(0;0) is not defined
|
||||
|
||||
if index is even (2;4;6...) the result is x^(1/index) and x>0
|
||||
if index is odd (1;2;3;...) the result is either
|
||||
-(abs(x)^(1/index)) if x<0 or
|
||||
x^(1/index)) if x>0
|
||||
- if index is even (2;4;6...) the result is x^(1/index) and x>0
|
||||
- if index is odd (1;2;3;...) the result is either
|
||||
- -(abs(x)^(1/index)) if x<0, or
|
||||
- x^(1/index)) if x>0
|
||||
|
||||
(for index==1 the result is equal x)
|
||||
- for index==1 the result is equal x
|
||||
*/
|
||||
template<class ValueType>
|
||||
ValueType Root(ValueType x, const ValueType & index, ErrorCode * err = 0)
|
||||
|
|
@ -2119,8 +2129,10 @@ namespace ttmath
|
|||
|
||||
/*!
|
||||
absolute value of x
|
||||
e.g. -2 = 2
|
||||
2 = 2
|
||||
|
||||
samples:
|
||||
- -2 = 2
|
||||
- 2 = 2
|
||||
*/
|
||||
template<class ValueType>
|
||||
ValueType Abs(const ValueType & x)
|
||||
|
|
@ -2134,9 +2146,11 @@ namespace ttmath
|
|||
|
||||
/*!
|
||||
it returns the sign of the value
|
||||
e.g. -2 = -1
|
||||
0 = 0
|
||||
10 = 1
|
||||
|
||||
samples:
|
||||
- -2 = -1
|
||||
- 0 = 0
|
||||
- 10 = 1
|
||||
*/
|
||||
template<class ValueType>
|
||||
ValueType Sgn(ValueType x)
|
||||
|
|
@ -2150,11 +2164,11 @@ namespace ttmath
|
|||
/*!
|
||||
the remainder from a division
|
||||
|
||||
e.g.
|
||||
mod( 12.6 ; 3) = 0.6 because 12.6 = 3*4 + 0.6
|
||||
mod(-12.6 ; 3) = -0.6 bacause -12.6 = 3*(-4) + (-0.6)
|
||||
mod( 12.6 ; -3) = 0.6
|
||||
mod(-12.6 ; -3) = -0.6
|
||||
samples:
|
||||
- mod( 12.6 ; 3) = 0.6 because 12.6 = 3*4 + 0.6
|
||||
- mod(-12.6 ; 3) = -0.6 bacause -12.6 = 3*(-4) + (-0.6)
|
||||
- mod( 12.6 ; -3) = 0.6
|
||||
- mod(-12.6 ; -3) = -0.6
|
||||
*/
|
||||
template<class ValueType>
|
||||
ValueType Mod(ValueType a, const ValueType & b, ErrorCode * err = 0)
|
||||
|
|
@ -2186,7 +2200,8 @@ namespace ttmath
|
|||
this function is used to store factorials in a given container
|
||||
'more' means how many values should be added at the end
|
||||
|
||||
e.g.
|
||||
sample:
|
||||
|
||||
std::vector<ValueType> fact;
|
||||
SetFactorialSequence(fact, 3);
|
||||
// now the container has three values: 1 1 2
|
||||
|
|
@ -2221,7 +2236,8 @@ namespace ttmath
|
|||
an auxiliary function used to calculate Bernoulli numbers
|
||||
|
||||
this function returns a sum:
|
||||
sum(m) = sum_{k=0}^{m-1} {2^k * (m k) * B(k)} k in [0, m-1] (m k) means binomial coefficient = (m! / (k! * (m-k)!))
|
||||
|
||||
sum(m) = sum_{k=0}^{m-1} {2^k * (m k) * B(k)} k in [0, m-1] (m k) means binomial coefficient = (m! / (k! * (m-k)!))
|
||||
|
||||
you should have sufficient factorials in cgamma.fact
|
||||
(cgamma.fact should have at least m items)
|
||||
|
|
@ -2275,9 +2291,10 @@ namespace ttmath
|
|||
an auxiliary function used to calculate Bernoulli numbers
|
||||
start is >= 2
|
||||
|
||||
we use the recurrence formula:
|
||||
B(m) = 1 / (2*(1 - 2^m)) * sum(m)
|
||||
where sum(m) is calculated by SetBernoulliNumbersSum()
|
||||
we use the recurrence formula:
|
||||
|
||||
B(m) = 1 / (2*(1 - 2^m)) * sum(m)
|
||||
where sum(m) is calculated by SetBernoulliNumbersSum()
|
||||
*/
|
||||
template<class ValueType>
|
||||
bool SetBernoulliNumbersMore(CGamma<ValueType> & cgamma, uint start, const volatile StopCalculating * stop = 0)
|
||||
|
|
@ -2330,7 +2347,8 @@ namespace ttmath
|
|||
returns false if there was a stop signal,
|
||||
'more' means how many values should be added at the end
|
||||
|
||||
e.g.
|
||||
sample:
|
||||
|
||||
typedef Big<1,2> MyBig;
|
||||
CGamma<MyBig> cgamma;
|
||||
SetBernoulliNumbers(cgamma, 3);
|
||||
|
|
@ -2377,9 +2395,11 @@ namespace ttmath
|
|||
an auxiliary function used to calculate the Gamma() function
|
||||
|
||||
we calculate a sum:
|
||||
|
||||
sum(n) = sum_{m=2} { B(m) / ( (m^2 - m) * n^(m-1) ) } = 1/(12*n) - 1/(360*n^3) + 1/(1260*n^5) + ...
|
||||
B(m) means a mth Bernoulli number
|
||||
the sum starts from m=2, we calculate as long as the value will not change after adding a next part
|
||||
|
||||
B(m) means a mth Bernoulli number
|
||||
the sum starts from m=2, we calculate as long as the value will not change after adding a next part
|
||||
*/
|
||||
template<class ValueType>
|
||||
ValueType GammaFactorialHighSum(const ValueType & n, CGamma<ValueType> & cgamma, ErrorCode & err,
|
||||
|
|
@ -2440,9 +2460,11 @@ namespace ttmath
|
|||
an auxiliary function used to calculate the Gamma() function
|
||||
|
||||
we calculate a helper function GammaFactorialHigh() by using Stirling's series:
|
||||
n! = (n/e)^n * sqrt(2*pi*n) * exp( sum(n) )
|
||||
where n is a real number (not only an integer) and is sufficient large (greater than TTMATH_GAMMA_BOUNDARY)
|
||||
and sum(n) is calculated by GammaFactorialHighSum()
|
||||
|
||||
n! = (n/e)^n * sqrt(2*pi*n) * exp( sum(n) )
|
||||
|
||||
where n is a real number (not only an integer) and is sufficient large (greater than TTMATH_GAMMA_BOUNDARY)
|
||||
and sum(n) is calculated by GammaFactorialHighSum()
|
||||
*/
|
||||
template<class ValueType>
|
||||
ValueType GammaFactorialHigh(const ValueType & n, CGamma<ValueType> & cgamma, ErrorCode & err,
|
||||
|
|
@ -2494,7 +2516,8 @@ namespace ttmath
|
|||
|
||||
we use this function when n is integer and a small value (from 0 to TTMATH_GAMMA_BOUNDARY]
|
||||
we use the formula:
|
||||
gamma(n) = (n-1)! = 1 * 2 * 3 * ... * (n-1)
|
||||
|
||||
gamma(n) = (n-1)! = 1 * 2 * 3 * ... * (n-1)
|
||||
*/
|
||||
template<class ValueType>
|
||||
ValueType GammaPlusLowIntegerInt(uint n, CGamma<ValueType> & cgamma)
|
||||
|
|
@ -2545,11 +2568,12 @@ namespace ttmath
|
|||
|
||||
we use this function when n is a small value (from 0 to TTMATH_GAMMA_BOUNDARY]
|
||||
we use a recurrence formula:
|
||||
|
||||
gamma(z+1) = z * gamma(z)
|
||||
then: gamma(z) = gamma(z+1) / z
|
||||
|
||||
e.g.
|
||||
gamma(3.89) = gamma(2001.89) / ( 3.89 * 4.89 * 5.89 * ... * 1999.89 * 2000.89 )
|
||||
samples:
|
||||
- gamma(3.89) = gamma(2001.89) / ( 3.89 * 4.89 * 5.89 * ... * 1999.89 * 2000.89 )
|
||||
*/
|
||||
template<class ValueType>
|
||||
ValueType GammaPlusLow(ValueType n, CGamma<ValueType> & cgamma, ErrorCode & err, const volatile StopCalculating * stop)
|
||||
|
|
@ -2640,11 +2664,13 @@ namespace ttmath
|
|||
|
||||
it's multithread safe, you should create a CGamma<> object and use it whenever you call the Gamma()
|
||||
e.g.
|
||||
|
||||
typedef Big<1,2> MyBig;
|
||||
MyBig x=234, y=345.53;
|
||||
CGamma<MyBig> cgamma;
|
||||
std::cout << Gamma(x, cgamma) << std::endl;
|
||||
std::cout << Gamma(y, cgamma) << std::endl;
|
||||
|
||||
in the CGamma<> object the function stores some coefficients (factorials, Bernoulli numbers),
|
||||
and they will be reused in next calls to the function
|
||||
|
||||
|
|
@ -2685,7 +2711,7 @@ namespace ttmath
|
|||
if( n.IsZero() )
|
||||
{
|
||||
err_tmp = err_improper_argument;
|
||||
result.SetNan();
|
||||
result.SetZeroNan();
|
||||
}
|
||||
else
|
||||
{
|
||||
|
|
@ -2768,11 +2794,13 @@ namespace ttmath
|
|||
|
||||
it's multithread safe, you should create a CGamma<> object and use it whenever you call the Factorial()
|
||||
e.g.
|
||||
|
||||
typedef Big<1,2> MyBig;
|
||||
MyBig x=234, y=54345;
|
||||
CGamma<MyBig> cgamma;
|
||||
std::cout << Factorial(x, cgamma) << std::endl;
|
||||
std::cout << Factorial(y, cgamma) << std::endl;
|
||||
|
||||
in the CGamma<> object the function stores some coefficients (factorials, Bernoulli numbers),
|
||||
and they will be reused in next calls to the function
|
||||
|
||||
|
|
@ -2832,10 +2860,14 @@ namespace ttmath
|
|||
|
||||
/*!
|
||||
this is for convenience for the user
|
||||
he can only use '#include <ttmath/ttmath.h>' even if he uses the parser
|
||||
he can only use '#include <ttmath/ttmath.h>'
|
||||
*/
|
||||
#include "ttmathparser.h"
|
||||
|
||||
// Dec is not finished yet
|
||||
//#include "ttmathdec.h"
|
||||
|
||||
|
||||
|
||||
#ifdef _MSC_VER
|
||||
//warning C4127: conditional expression is constant
|
||||
|
|
|
|||
File diff suppressed because it is too large
Load Diff
|
|
@ -0,0 +1,419 @@
|
|||
/*
|
||||
* This file is a part of TTMath Bignum Library
|
||||
* and is distributed under the 3-Clause BSD Licence.
|
||||
* Author: Tomasz Sowa <t.sowa@ttmath.org>
|
||||
*/
|
||||
|
||||
/*
|
||||
* Copyright (c) 2012, Tomasz Sowa
|
||||
* All rights reserved.
|
||||
*
|
||||
* Redistribution and use in source and binary forms, with or without
|
||||
* modification, are permitted provided that the following conditions are met:
|
||||
*
|
||||
* * Redistributions of source code must retain the above copyright notice,
|
||||
* this list of conditions and the following disclaimer.
|
||||
*
|
||||
* * Redistributions in binary form must reproduce the above copyright
|
||||
* notice, this list of conditions and the following disclaimer in the
|
||||
* documentation and/or other materials provided with the distribution.
|
||||
*
|
||||
* * Neither the name Tomasz Sowa nor the names of contributors to this
|
||||
* project may be used to endorse or promote products derived
|
||||
* from this software without specific prior written permission.
|
||||
*
|
||||
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
|
||||
* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
|
||||
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
|
||||
* ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
|
||||
* LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
|
||||
* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
|
||||
* SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
|
||||
* INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
|
||||
* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
|
||||
* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
|
||||
* THE POSSIBILITY OF SUCH DAMAGE.
|
||||
*/
|
||||
|
||||
#ifndef headerfilettmathdec
|
||||
#define headerfilettmathdec
|
||||
|
||||
#include "ttmathtypes.h"
|
||||
#include "ttmaththreads.h"
|
||||
#include "ttmathuint.h"
|
||||
|
||||
|
||||
|
||||
namespace ttmath
|
||||
{
|
||||
|
||||
template<uint value_size, uint dec_digits>
|
||||
class Dec
|
||||
{
|
||||
public:
|
||||
|
||||
UInt<value_size> value;
|
||||
unsigned char info;
|
||||
|
||||
|
||||
/*!
|
||||
Sign
|
||||
the mask of a bit from 'info' which means that there is a sign
|
||||
(when the bit is set)
|
||||
*/
|
||||
#define TTMATH_DEC_SIGN 128
|
||||
|
||||
|
||||
/*!
|
||||
Not a number
|
||||
if this bit is set that there is not a valid number
|
||||
*/
|
||||
#define TTMATH_DEC_NAN 64
|
||||
|
||||
|
||||
|
||||
|
||||
Dec()
|
||||
{
|
||||
info = TTMATH_DEC_NAN;
|
||||
}
|
||||
|
||||
|
||||
Dec(const char * s)
|
||||
{
|
||||
info = TTMATH_DEC_NAN;
|
||||
FromString(s);
|
||||
}
|
||||
|
||||
|
||||
Dec<value_size, dec_digits> & operator=(const char * s)
|
||||
{
|
||||
FromString(s);
|
||||
|
||||
return *this;
|
||||
}
|
||||
|
||||
|
||||
uint FromString(const char * s, const char ** after_source = 0, bool * value_read = 0)
|
||||
{
|
||||
return FromStringBase(s, after_source, value_read);
|
||||
}
|
||||
|
||||
|
||||
void ToString(std::string & result) const
|
||||
{
|
||||
ToStringBase(result);
|
||||
}
|
||||
|
||||
|
||||
/*!
|
||||
this method clears a specific bit in the 'info' variable
|
||||
|
||||
bit is one of:
|
||||
*/
|
||||
void ClearInfoBit(unsigned char bit)
|
||||
{
|
||||
info = info & (~bit);
|
||||
}
|
||||
|
||||
|
||||
/*!
|
||||
this method sets a specific bit in the 'info' variable
|
||||
|
||||
bit is one of:
|
||||
|
||||
*/
|
||||
void SetInfoBit(unsigned char bit)
|
||||
{
|
||||
info = info | bit;
|
||||
}
|
||||
|
||||
|
||||
/*!
|
||||
this method returns true if a specific bit in the 'info' variable is set
|
||||
|
||||
bit is one of:
|
||||
*/
|
||||
bool IsInfoBit(unsigned char bit) const
|
||||
{
|
||||
return (info & bit) != 0;
|
||||
}
|
||||
|
||||
|
||||
bool IsNan() const
|
||||
{
|
||||
return IsInfoBit(TTMATH_DEC_NAN);
|
||||
}
|
||||
|
||||
|
||||
bool IsSign() const
|
||||
{
|
||||
return IsInfoBit(TTMATH_DEC_SIGN);
|
||||
}
|
||||
|
||||
|
||||
/*!
|
||||
this method sets the sign
|
||||
|
||||
e.g.
|
||||
-1 -> -1
|
||||
2 -> -2
|
||||
|
||||
we do not check whether there is a zero or not, if you're using this method
|
||||
you must be sure that the value is (or will be afterwards) different from zero
|
||||
*/
|
||||
void SetSign()
|
||||
{
|
||||
SetInfoBit(TTMATH_DEC_SIGN);
|
||||
}
|
||||
|
||||
|
||||
void SetNaN()
|
||||
{
|
||||
SetInfoBit(TTMATH_DEC_NAN);
|
||||
}
|
||||
|
||||
|
||||
void Abs()
|
||||
{
|
||||
ClearInfoBit(TTMATH_DEC_SIGN);
|
||||
}
|
||||
|
||||
|
||||
|
||||
uint Add(const Dec<value_size, dec_digits> & arg)
|
||||
{
|
||||
uint c = 0;
|
||||
|
||||
if( IsSign() == arg.IsSign() )
|
||||
{
|
||||
c += value.Add(arg.value);
|
||||
}
|
||||
else
|
||||
{
|
||||
bool is_sign;
|
||||
|
||||
if( value > arg.value )
|
||||
{
|
||||
is_sign = IsSign();
|
||||
value.Sub(arg.value);
|
||||
}
|
||||
else
|
||||
{
|
||||
is_sign = arg.IsSign();
|
||||
UInt<value_size> temp(this->value);
|
||||
value = arg.value;
|
||||
value.Sub(temp);
|
||||
}
|
||||
|
||||
is_sign ? SetSign() : Abs();
|
||||
}
|
||||
|
||||
if( c )
|
||||
SetNaN();
|
||||
|
||||
return (c==0)? 0 : 1;
|
||||
}
|
||||
|
||||
/*
|
||||
uint Sub(const Dec<value_size, dec_digits> & arg)
|
||||
{
|
||||
}
|
||||
*/
|
||||
|
||||
private:
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
#ifndef TTMATH_MULTITHREADS
|
||||
|
||||
/*!
|
||||
*/
|
||||
void SetMultipler(UInt<value_size> & result)
|
||||
{
|
||||
// this guardian is initialized before the program runs (static POD type)
|
||||
static int guardian = 0;
|
||||
static UInt<value_size> multipler;
|
||||
|
||||
if( guardian == 0 )
|
||||
{
|
||||
multipler = 10;
|
||||
multipler.Pow(dec_digits);
|
||||
guardian = 1;
|
||||
}
|
||||
|
||||
result = multipler;
|
||||
}
|
||||
|
||||
#else
|
||||
|
||||
/*!
|
||||
*/
|
||||
void SetMultipler(UInt<value_size> & result)
|
||||
{
|
||||
// this guardian is initialized before the program runs (static POD type)
|
||||
volatile static sig_atomic_t guardian = 0;
|
||||
static UInt<value_size> * pmultipler;
|
||||
|
||||
// double-checked locking
|
||||
if( guardian == 0 )
|
||||
{
|
||||
ThreadLock thread_lock;
|
||||
|
||||
// locking
|
||||
if( thread_lock.Lock() )
|
||||
{
|
||||
static UInt<value_size> multipler;
|
||||
|
||||
if( guardian == 0 )
|
||||
{
|
||||
pmultipler = &multipler;
|
||||
multipler = 10;
|
||||
multipler.Pow(dec_digits);
|
||||
guardian = 1;
|
||||
}
|
||||
}
|
||||
else
|
||||
{
|
||||
// there was a problem with locking, we store the result directly in 'result' object
|
||||
result = 10;
|
||||
result.Pow(dec_digits);
|
||||
|
||||
return;
|
||||
}
|
||||
|
||||
// automatically unlocking
|
||||
}
|
||||
|
||||
result = *pmultipler;
|
||||
}
|
||||
|
||||
#endif
|
||||
|
||||
|
||||
|
||||
/*!
|
||||
an auxiliary method for converting from a string
|
||||
*/
|
||||
template<class char_type>
|
||||
uint FromStringBase(const char_type * s, const char_type ** after_source = 0, bool * value_read = 0)
|
||||
{
|
||||
UInt<value_size> multipler;
|
||||
const char_type * after;
|
||||
uint c = 0;
|
||||
info = 0;
|
||||
|
||||
Misc::SkipWhiteCharacters(s);
|
||||
|
||||
if( *s == '-' )
|
||||
{
|
||||
s += 1;
|
||||
SetSign();
|
||||
}
|
||||
else
|
||||
if( *s == '+' )
|
||||
{
|
||||
s += 1;
|
||||
}
|
||||
|
||||
c += value.FromString(s, 10, &after, value_read);
|
||||
|
||||
if( after_source )
|
||||
*after_source = after;
|
||||
|
||||
SetMultipler(multipler);
|
||||
c += value.Mul(multipler);
|
||||
|
||||
if( *after == '.' )
|
||||
c += FromStringBaseAfterComma(after+1, after_source);
|
||||
|
||||
if( c )
|
||||
SetInfoBit(TTMATH_DEC_NAN);
|
||||
|
||||
return (c==0)? 0 : 1;
|
||||
}
|
||||
|
||||
|
||||
template<class char_type>
|
||||
uint FromStringBaseAfterComma(const char_type * s, const char_type ** after_source = 0, bool * value_read = 0)
|
||||
{
|
||||
UInt<value_size> temp;
|
||||
UInt<value_size> multipler;
|
||||
sint z;
|
||||
uint c = 0;
|
||||
size_t i = dec_digits;
|
||||
|
||||
SetMultipler(multipler);
|
||||
|
||||
for( ; i>0 && (z=Misc::CharToDigit(*s, 10)) != -1 ; --i, ++s )
|
||||
{
|
||||
multipler.DivInt(10);
|
||||
temp.SetZero();
|
||||
|
||||
if( value_read )
|
||||
*value_read = true;
|
||||
|
||||
if( c == 0 )
|
||||
{
|
||||
temp.table[0] = z;
|
||||
c += temp.Mul(multipler);
|
||||
c += value.Add(temp);
|
||||
}
|
||||
}
|
||||
|
||||
if( i == 0 && (z=Misc::CharToDigit(*s, 10)) != -1 && z >= 5 )
|
||||
c += value.AddOne();
|
||||
|
||||
if( after_source )
|
||||
{
|
||||
while( (z=Misc::CharToDigit(*s, 10)) != -1 )
|
||||
s += 1;
|
||||
|
||||
*after_source = s;
|
||||
}
|
||||
|
||||
return c;
|
||||
}
|
||||
|
||||
|
||||
|
||||
template<class string_type>
|
||||
void ToStringBase(string_type & result) const
|
||||
{
|
||||
if( IsNan() )
|
||||
{
|
||||
result = "NaN";
|
||||
return;
|
||||
}
|
||||
|
||||
value.ToStringBase(result, 10, IsSign());
|
||||
|
||||
if( dec_digits > 0 )
|
||||
{
|
||||
size_t size = result.size();
|
||||
|
||||
if( IsSign() && size > 0 )
|
||||
size -= 1;
|
||||
|
||||
if( dec_digits >= size )
|
||||
{
|
||||
size_t zeroes = dec_digits - size + 1;
|
||||
size_t start = IsSign() ? 1 : 0;
|
||||
result.insert(start, zeroes, '0');
|
||||
}
|
||||
|
||||
result.insert(result.end() - dec_digits, '.');
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
|
||||
};
|
||||
|
||||
|
||||
} // namespace
|
||||
|
||||
#endif
|
||||
|
|
@ -1,11 +1,11 @@
|
|||
/*
|
||||
* This file is a part of TTMath Bignum Library
|
||||
* and is distributed under the (new) BSD licence.
|
||||
* and is distributed under the 3-Clause BSD Licence.
|
||||
* Author: Tomasz Sowa <t.sowa@ttmath.org>
|
||||
*/
|
||||
|
||||
/*
|
||||
* Copyright (c) 2006-2010, Tomasz Sowa
|
||||
* Copyright (c) 2006-2017, Tomasz Sowa
|
||||
* All rights reserved.
|
||||
*
|
||||
* Redistribution and use in source and binary forms, with or without
|
||||
|
|
@ -55,8 +55,8 @@ namespace ttmath
|
|||
\brief Int implements a big integer value with a sign
|
||||
|
||||
value_size - how many bytes specify our value
|
||||
on 32bit platforms: value_size=1 -> 4 bytes -> 32 bits
|
||||
on 64bit platforms: value_size=1 -> 8 bytes -> 64 bits
|
||||
- on 32bit platforms: value_size=1 -> 4 bytes -> 32 bits
|
||||
- on 64bit platforms: value_size=1 -> 8 bytes -> 64 bits
|
||||
value_size = 1,2,3,4,5,6....
|
||||
*/
|
||||
template<uint value_size>
|
||||
|
|
@ -131,8 +131,9 @@ public:
|
|||
/*!
|
||||
this method sets the sign
|
||||
|
||||
e.g. 1 -> -1
|
||||
-2 -> -2
|
||||
samples
|
||||
- 1 -> -1
|
||||
- -2 -> -2
|
||||
|
||||
from a positive value we make a negative value,
|
||||
if the value is negative we do nothing
|
||||
|
|
@ -290,10 +291,10 @@ public:
|
|||
|
||||
this = p1(=this) - p2
|
||||
|
||||
when p1>=0 i p2>=0 carry will never be set
|
||||
when p1<0 i p2<0 carry will never be set
|
||||
when p1>=0 i p2<0 carry is set when the highest bit of value is set
|
||||
when p1<0 i p2>=0 carry is set when the highest bit of value is clear
|
||||
- when p1>=0 i p2>=0 carry will never be set
|
||||
- when p1<0 i p2<0 carry will never be set
|
||||
- when p1>=0 i p2<0 carry is set when the highest bit of value is set
|
||||
- when p1<0 i p2>=0 carry is set when the highest bit of value is clear
|
||||
*/
|
||||
uint Sub(const Int<value_size> & ss2)
|
||||
{
|
||||
|
|
@ -465,14 +466,14 @@ public:
|
|||
/*!
|
||||
division this = this / ss2
|
||||
returned values:
|
||||
0 - ok
|
||||
1 - division by zero
|
||||
- 0 - ok
|
||||
- 1 - division by zero
|
||||
|
||||
for example: (result means 'this')
|
||||
20 / 3 --> result: 6 remainder: 2
|
||||
-20 / 3 --> result: -6 remainder: -2
|
||||
20 / -3 --> result: -6 remainder: 2
|
||||
-20 / -3 --> result: 6 remainder: -2
|
||||
- 20 / 3 --> result: 6 remainder: 2
|
||||
- -20 / 3 --> result: -6 remainder: -2
|
||||
- 20 / -3 --> result: -6 remainder: 2
|
||||
- -20 / -3 --> result: 6 remainder: -2
|
||||
|
||||
in other words: this(old) = ss2 * this(new)(result) + remainder
|
||||
*/
|
||||
|
|
@ -509,14 +510,14 @@ public:
|
|||
/*!
|
||||
division this = this / ss2 (ss2 is int)
|
||||
returned values:
|
||||
0 - ok
|
||||
1 - division by zero
|
||||
- 0 - ok
|
||||
- 1 - division by zero
|
||||
|
||||
for example: (result means 'this')
|
||||
20 / 3 --> result: 6 remainder: 2
|
||||
-20 / 3 --> result: -6 remainder: -2
|
||||
20 / -3 --> result: -6 remainder: 2
|
||||
-20 / -3 --> result: 6 remainder: -2
|
||||
- 20 / 3 --> result: 6 remainder: 2
|
||||
- -20 / 3 --> result: -6 remainder: -2
|
||||
- 20 / -3 --> result: -6 remainder: 2
|
||||
- -20 / -3 --> result: 6 remainder: -2
|
||||
|
||||
in other words: this(old) = ss2 * this(new)(result) + remainder
|
||||
*/
|
||||
|
|
@ -600,9 +601,9 @@ public:
|
|||
power this = this ^ pow
|
||||
|
||||
return values:
|
||||
0 - ok
|
||||
1 - carry
|
||||
2 - incorrect arguments 0^0 or 0^(-something)
|
||||
- 0 - ok
|
||||
- 1 - carry
|
||||
- 2 - incorrect arguments 0^0 or 0^(-something)
|
||||
*/
|
||||
uint Pow(Int<value_size> pow)
|
||||
{
|
||||
|
|
@ -812,7 +813,7 @@ public:
|
|||
/*!
|
||||
a copy constructor
|
||||
*/
|
||||
Int(const Int<value_size> & u)
|
||||
Int(const Int<value_size> & u) : UInt<value_size>()
|
||||
{
|
||||
FromInt(u);
|
||||
}
|
||||
|
|
@ -1315,13 +1316,11 @@ private:
|
|||
{
|
||||
Int<value_size> temp(*this);
|
||||
temp.Abs();
|
||||
|
||||
temp.UInt<value_size>::ToString(result, b);
|
||||
result.insert(result.begin(), '-');
|
||||
temp.UInt<value_size>::ToStringBase(result, b, true);
|
||||
}
|
||||
else
|
||||
{
|
||||
UInt<value_size>::ToString(result, b);
|
||||
UInt<value_size>::ToStringBase(result, b, false);
|
||||
}
|
||||
}
|
||||
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* This file is a part of TTMath Bignum Library
|
||||
* and is distributed under the (new) BSD licence.
|
||||
* and is distributed under the 3-Clause BSD Licence.
|
||||
* Author: Tomasz Sowa <t.sowa@ttmath.org>
|
||||
*/
|
||||
|
||||
|
|
@ -171,10 +171,10 @@ static void SkipWhiteCharacters(const char_type * & c)
|
|||
this static method converts one character into its value
|
||||
|
||||
for example:
|
||||
1 -> 1
|
||||
8 -> 8
|
||||
A -> 10
|
||||
f -> 15
|
||||
- 1 -> 1
|
||||
- 8 -> 8
|
||||
- A -> 10
|
||||
- f -> 15
|
||||
|
||||
this method don't check whether c is correct or not
|
||||
*/
|
||||
|
|
@ -195,9 +195,9 @@ return c-'A'+10;
|
|||
(if there can't be a correct value it returns -1)
|
||||
|
||||
for example:
|
||||
c=2, base=10 -> function returns 2
|
||||
c=A, base=10 -> function returns -1
|
||||
c=A, base=16 -> function returns 10
|
||||
- c=2, base=10 -> function returns 2
|
||||
- c=A, base=10 -> function returns -1
|
||||
- c=A, base=16 -> function returns 10
|
||||
*/
|
||||
static sint CharToDigit(uint c, uint base)
|
||||
{
|
||||
|
|
@ -228,10 +228,10 @@ return sint(c);
|
|||
(we don't have to get a base)
|
||||
|
||||
for example:
|
||||
1 -> 1
|
||||
8 -> 8
|
||||
10 -> A
|
||||
15 -> F
|
||||
- 1 -> 1
|
||||
- 8 -> 8
|
||||
- 10 -> A
|
||||
- 15 -> F
|
||||
*/
|
||||
static uint DigitToChar(uint digit)
|
||||
{
|
||||
|
|
|
|||
|
|
@ -1,11 +1,11 @@
|
|||
/*
|
||||
* This file is a part of TTMath Mathematical Library
|
||||
* and is distributed under the (new) BSD licence.
|
||||
* and is distributed under the 3-Clause BSD Licence.
|
||||
* Author: Tomasz Sowa <t.sowa@ttmath.org>
|
||||
*/
|
||||
|
||||
/*
|
||||
* Copyright (c) 2006-2010, Tomasz Sowa
|
||||
* Copyright (c) 2006-2017, Tomasz Sowa
|
||||
* All rights reserved.
|
||||
*
|
||||
* Redistribution and use in source and binary forms, with or without
|
||||
|
|
@ -81,7 +81,7 @@ public:
|
|||
// (if there's a variable this 'param' is ignored)
|
||||
int param;
|
||||
|
||||
Item() {}
|
||||
Item() { param = 0; }
|
||||
Item(const std::string & v, int p) : value(v), param(p) {}
|
||||
};
|
||||
|
||||
|
|
@ -484,7 +484,7 @@ public:
|
|||
|
||||
if( i == table.end() )
|
||||
{
|
||||
value.empty();
|
||||
value.clear();
|
||||
*param = 0;
|
||||
return err_unknown_object;
|
||||
}
|
||||
|
|
@ -723,14 +723,17 @@ public:
|
|||
|
||||
in multithreaded environment you can provide an object of this class to
|
||||
the Gamma() or Factorial() function, e.g;
|
||||
|
||||
typedef Big<1, 3> MyBig;
|
||||
MyBig x = 123456;
|
||||
CGamma<MyBig> cgamma;
|
||||
std::cout << Gamma(x, cgamma);
|
||||
|
||||
each thread should have its own CGamma<> object
|
||||
|
||||
in a single-thread environment a CGamma<> object is a static variable
|
||||
in a second version of Gamma() and you don't have to explicitly use it, e.g.
|
||||
and you don't have to explicitly use it, e.g.
|
||||
|
||||
typedef Big<1, 3> MyBig;
|
||||
MyBig x = 123456;
|
||||
std::cout << Gamma(x);
|
||||
|
|
|
|||
File diff suppressed because it is too large
Load Diff
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* This file is a part of TTMath Bignum Library
|
||||
* and is distributed under the (new) BSD licence.
|
||||
* and is distributed under the 3-Clause BSD Licence.
|
||||
* Author: Tomasz Sowa <t.sowa@ttmath.org>
|
||||
*/
|
||||
|
||||
|
|
@ -59,24 +59,6 @@
|
|||
*/
|
||||
|
||||
|
||||
/*
|
||||
this is a simple skeleton of a program in multithreads environment:
|
||||
|
||||
#define TTMATH_MULTITHREADS
|
||||
#include<ttmath/ttmath.h>
|
||||
|
||||
TTMATH_MULTITHREADS_HELPER
|
||||
|
||||
int main()
|
||||
{
|
||||
[...]
|
||||
}
|
||||
|
||||
make sure that macro TTMATH_MULTITHREADS is defined and (somewhere in *.cpp file)
|
||||
use TTMATH_MULTITHREADS_HELPER macro (outside of any classes/functions/namespaces scope)
|
||||
*/
|
||||
|
||||
|
||||
namespace ttmath
|
||||
{
|
||||
|
||||
|
|
@ -186,12 +168,32 @@ namespace ttmath
|
|||
|
||||
|
||||
/*!
|
||||
objects of this class are used to synchronize
|
||||
\brief objects of this class are used to synchronize
|
||||
|
||||
this is a simple skeleton of a program in multithreads environment:
|
||||
|
||||
#define TTMATH_MULTITHREADS
|
||||
#include<ttmath/ttmath.h>
|
||||
|
||||
TTMATH_MULTITHREADS_HELPER
|
||||
|
||||
int main()
|
||||
{
|
||||
[...]
|
||||
}
|
||||
|
||||
make sure that macro TTMATH_MULTITHREADS is defined and (somewhere in *.cpp file)
|
||||
use TTMATH_MULTITHREADS_HELPER macro (outside of any classes/functions/namespaces scope)
|
||||
*/
|
||||
class ThreadLock
|
||||
{
|
||||
public:
|
||||
|
||||
/*!
|
||||
lock the current thread
|
||||
|
||||
it uses a global mutex created by TTMATH_MULTITHREADS_HELPER macro
|
||||
*/
|
||||
bool Lock()
|
||||
{
|
||||
if( pthread_mutex_lock(&ttmath_mutex) != 0 )
|
||||
|
|
|
|||
|
|
@ -1,11 +1,11 @@
|
|||
/*
|
||||
* This file is a part of TTMath Bignum Library
|
||||
* and is distributed under the (new) BSD licence.
|
||||
* and is distributed under the 3-Clause BSD Licence.
|
||||
* Author: Tomasz Sowa <t.sowa@ttmath.org>
|
||||
*/
|
||||
|
||||
/*
|
||||
* Copyright (c) 2006-2010, Tomasz Sowa
|
||||
* Copyright (c) 2006-2019, Tomasz Sowa
|
||||
* All rights reserved.
|
||||
*
|
||||
* Redistribution and use in source and binary forms, with or without
|
||||
|
|
@ -64,17 +64,42 @@
|
|||
|
||||
|
||||
/*!
|
||||
the version of the library
|
||||
the major version of the library
|
||||
|
||||
the version present to the end user is constructed in this way:
|
||||
|
||||
TTMATH_MAJOR_VER.TTMATH_MINOR_VER.TTMATH_REVISION_VER.[prerelease if TTMATH_PRERELEASE_VER==1]
|
||||
*/
|
||||
#define TTMATH_MAJOR_VER 0
|
||||
|
||||
/*!
|
||||
the minor version of the library
|
||||
|
||||
the version present to the end user is constructed in this way:
|
||||
|
||||
TTMATH_MAJOR_VER.TTMATH_MINOR_VER.TTMATH_REVISION_VER.[prerelease if TTMATH_PRERELEASE_VER==1]
|
||||
*/
|
||||
#define TTMATH_MINOR_VER 9
|
||||
|
||||
/*!
|
||||
the revision version of the library
|
||||
|
||||
the version present to the end user is constructed in this way:
|
||||
|
||||
TTMATH_MAJOR_VER.TTMATH_MINOR_VER.TTMATH_REVISION_VER.[prerelease if TTMATH_PRERELEASE_VER==1]
|
||||
*/
|
||||
#define TTMATH_REVISION_VER 4
|
||||
|
||||
/*!
|
||||
TTMATH_PRERELEASE_VER is either zero or one
|
||||
zero means that this is the release version of the library
|
||||
(one means something like beta)
|
||||
*/
|
||||
#define TTMATH_MAJOR_VER 0
|
||||
#define TTMATH_MINOR_VER 9
|
||||
#define TTMATH_REVISION_VER 2
|
||||
|
||||
#define TTMATH_PRERELEASE_VER 0
|
||||
the version present to the end user is constructed in this way:
|
||||
|
||||
TTMATH_MAJOR_VER.TTMATH_MINOR_VER.TTMATH_REVISION_VER.[prerelease if TTMATH_PRERELEASE_VER==1]
|
||||
*/
|
||||
#define TTMATH_PRERELEASE_VER 1
|
||||
|
||||
|
||||
|
||||
|
|
@ -122,7 +147,7 @@
|
|||
_M_IX86 defined by Visual Studio, Intel C/C++, Digital Mars and Watcom C/C++
|
||||
|
||||
amd64 architecture:
|
||||
__x86_64__ defined by GNU C and Sun Studio
|
||||
__x86_64__ defined by GNU C, CLANG (LLVM) and Sun Studio
|
||||
_M_X64 defined by Visual Studio
|
||||
|
||||
asm version is available only for x86 or amd64 platforms
|
||||
|
|
@ -134,7 +159,8 @@
|
|||
|
||||
#if !defined _MSC_VER && !defined __GNUC__
|
||||
/*!
|
||||
another compilers than MS VC or GCC by default use no asm version
|
||||
another compilers than MS VC or GCC or CLANG (LLVM) by default use no asm version
|
||||
(CLANG defines __GNUC__ too)
|
||||
*/
|
||||
#define TTMATH_NOASM
|
||||
#endif
|
||||
|
|
@ -201,16 +227,20 @@ namespace ttmath
|
|||
|
||||
#else
|
||||
|
||||
/*!
|
||||
on 64bit platforms one word (uint, sint) will be equal 64bits
|
||||
*/
|
||||
#ifdef _MSC_VER
|
||||
/* in VC 'long' type has 32 bits, __int64 is VC extension */
|
||||
typedef unsigned __int64 uint;
|
||||
typedef signed __int64 sint;
|
||||
#else
|
||||
typedef unsigned long uint;
|
||||
typedef signed long sint;
|
||||
/*!
|
||||
on 64bit platforms one word (uint, sint) will be equal 64bits
|
||||
*/
|
||||
typedef uint64_t uint;
|
||||
|
||||
/*!
|
||||
on 64bit platforms one word (uint, sint) will be equal 64bits
|
||||
*/
|
||||
typedef int64_t sint;
|
||||
#endif
|
||||
|
||||
/*!
|
||||
|
|
@ -316,12 +346,12 @@ namespace ttmath
|
|||
|
||||
/*!
|
||||
lib type codes:
|
||||
asm_vc_32 - with asm code designed for Microsoft Visual C++ (32 bits)
|
||||
asm_gcc_32 - with asm code designed for GCC (32 bits)
|
||||
asm_vc_64 - with asm for VC (64 bit)
|
||||
asm_gcc_64 - with asm for GCC (64 bit)
|
||||
no_asm_32 - pure C++ version (32 bit) - without any asm code
|
||||
no_asm_64 - pure C++ version (64 bit) - without any asm code
|
||||
- asm_vc_32 - with asm code designed for Microsoft Visual C++ (32 bits)
|
||||
- asm_gcc_32 - with asm code designed for GCC (32 bits)
|
||||
- asm_vc_64 - with asm for VC (64 bit)
|
||||
- asm_gcc_64 - with asm for GCC (64 bit)
|
||||
- no_asm_32 - pure C++ version (32 bit) - without any asm code
|
||||
- no_asm_64 - pure C++ version (64 bit) - without any asm code
|
||||
*/
|
||||
enum LibTypeCode
|
||||
{
|
||||
|
|
@ -365,7 +395,8 @@ namespace ttmath
|
|||
err_unknown_object,
|
||||
err_still_calculating,
|
||||
err_in_short_form_used_function,
|
||||
err_percent_from
|
||||
err_percent_from,
|
||||
err_assignment_requires_variable
|
||||
};
|
||||
|
||||
|
||||
|
|
@ -406,10 +437,11 @@ namespace ttmath
|
|||
default: true
|
||||
|
||||
e.g.
|
||||
Conv c;
|
||||
c.base_round = false;
|
||||
Big<1, 1> a = "0.1"; // decimal input
|
||||
std::cout << a.ToString(c) << std::endl; // the result is: 0.099999999
|
||||
|
||||
Conv c;
|
||||
c.base_round = false;
|
||||
Big<1, 1> a = "0.1"; // decimal input
|
||||
std::cout << a.ToString(c) << std::endl; // the result is: 0.099999999
|
||||
*/
|
||||
bool base_round;
|
||||
|
||||
|
|
@ -465,6 +497,13 @@ namespace ttmath
|
|||
uint group;
|
||||
|
||||
|
||||
/*!
|
||||
how many digits should be grouped (it is used if 'group' is non zero)
|
||||
default: 3
|
||||
*/
|
||||
uint group_digits;
|
||||
|
||||
|
||||
/*!
|
||||
*/
|
||||
uint group_exp; // not implemented yet
|
||||
|
|
@ -484,6 +523,7 @@ namespace ttmath
|
|||
comma = '.';
|
||||
comma2 = ',';
|
||||
group = 0;
|
||||
group_digits = 3;
|
||||
group_exp = 0;
|
||||
}
|
||||
};
|
||||
|
|
|
|||
|
|
@ -1,11 +1,11 @@
|
|||
/*
|
||||
* This file is a part of TTMath Bignum Library
|
||||
* and is distributed under the (new) BSD licence.
|
||||
* and is distributed under the 3-Clause BSD Licence.
|
||||
* Author: Tomasz Sowa <t.sowa@ttmath.org>
|
||||
*/
|
||||
|
||||
/*
|
||||
* Copyright (c) 2006-2010, Tomasz Sowa
|
||||
* Copyright (c) 2006-2017, Tomasz Sowa
|
||||
* All rights reserved.
|
||||
*
|
||||
* Redistribution and use in source and binary forms, with or without
|
||||
|
|
@ -65,8 +65,8 @@ namespace ttmath
|
|||
\brief UInt implements a big integer value without a sign
|
||||
|
||||
value_size - how many bytes specify our value
|
||||
on 32bit platforms: value_size=1 -> 4 bytes -> 32 bits
|
||||
on 64bit platforms: value_size=1 -> 8 bytes -> 64 bits
|
||||
- on 32bit platforms: value_size=1 -> 4 bytes -> 32 bits
|
||||
- on 64bit platforms: value_size=1 -> 8 bytes -> 64 bits
|
||||
value_size = 1,2,3,4,5,6....
|
||||
*/
|
||||
template<uint value_size>
|
||||
|
|
@ -637,13 +637,13 @@ public:
|
|||
this method looks for the highest set bit
|
||||
|
||||
result:
|
||||
if 'this' is not zero:
|
||||
return value - true
|
||||
'table_id' - the index of a word <0..value_size-1>
|
||||
- if 'this' is not zero:
|
||||
return value - true,
|
||||
'table_id' - the index of a word <0..value_size-1>,
|
||||
'index' - the index of this set bit in the word <0..TTMATH_BITS_PER_UINT)
|
||||
|
||||
if 'this' is zero:
|
||||
return value - false
|
||||
- if 'this' is zero:
|
||||
return value - false,
|
||||
both 'table_id' and 'index' are zero
|
||||
*/
|
||||
bool FindLeadingBit(uint & table_id, uint & index) const
|
||||
|
|
@ -669,13 +669,13 @@ public:
|
|||
this method looks for the smallest set bit
|
||||
|
||||
result:
|
||||
if 'this' is not zero:
|
||||
return value - true
|
||||
'table_id' - the index of a word <0..value_size-1>
|
||||
- if 'this' is not zero:
|
||||
return value - true,
|
||||
'table_id' - the index of a word <0..value_size-1>,
|
||||
'index' - the index of this set bit in the word <0..TTMATH_BITS_PER_UINT)
|
||||
|
||||
if 'this' is zero:
|
||||
return value - false
|
||||
- if 'this' is zero:
|
||||
return value - false,
|
||||
both 'table_id' and 'index' are zero
|
||||
*/
|
||||
bool FindLowestBit(uint & table_id, uint & index) const
|
||||
|
|
@ -955,17 +955,20 @@ public:
|
|||
switch( algorithm )
|
||||
{
|
||||
case 1:
|
||||
return Mul1Big(ss2, result);
|
||||
Mul1Big(ss2, result);
|
||||
break;
|
||||
|
||||
case 2:
|
||||
return Mul2Big(ss2, result);
|
||||
Mul2Big(ss2, result);
|
||||
break;
|
||||
|
||||
case 3:
|
||||
return Mul3Big(ss2, result);
|
||||
Mul3Big(ss2, result);
|
||||
break;
|
||||
|
||||
case 100:
|
||||
default:
|
||||
return MulFastestBig(ss2, result);
|
||||
MulFastestBig(ss2, result);
|
||||
}
|
||||
}
|
||||
|
||||
|
|
@ -1184,17 +1187,23 @@ public:
|
|||
|
||||
Karatsuba multiplication:
|
||||
Assume we have:
|
||||
|
||||
this = x = x1*B^m + x0
|
||||
ss2 = y = y1*B^m + y0
|
||||
|
||||
where x0 and y0 are less than B^m
|
||||
the product from multiplication we can show as:
|
||||
x*y = (x1*B^m + x0)(y1*B^m + y0) = z2*B^(2m) + z1*B^m + z0
|
||||
where
|
||||
|
||||
z2 = x1*y1
|
||||
z1 = x1*y0 + x0*y1
|
||||
z0 = x0*y0
|
||||
z0 = x0*y0
|
||||
|
||||
this is standard schoolbook algorithm with O(n^2), Karatsuba observed that z1 can be given in other form:
|
||||
|
||||
z1 = (x1 + x0)*(y1 + y0) - z2 - z0 / z1 = (x1*y1 + x1*y0 + x0*y1 + x0*y0) - x1*y1 - x0*y0 = x1*y0 + x0*y1 /
|
||||
|
||||
and to calculate the multiplication we need only three multiplications (with some additions and subtractions)
|
||||
|
||||
Our objects 'this' and 'ss2' we divide into two parts and by using recurrence we calculate the multiplication.
|
||||
|
|
@ -1260,9 +1269,18 @@ private:
|
|||
UInt<ss_size*2> res;
|
||||
Mul2Big2<ss_size>(ss1, ss2, res);
|
||||
|
||||
#ifdef __clang__
|
||||
#pragma clang diagnostic push
|
||||
#pragma clang diagnostic ignored "-Wtautological-compare"
|
||||
#endif
|
||||
|
||||
for(uint i=0 ; i<ss_size*2 ; ++i)
|
||||
result[i] = res.table[i];
|
||||
|
||||
#ifdef __clang__
|
||||
#pragma clang diagnostic pop
|
||||
#endif
|
||||
|
||||
return;
|
||||
}
|
||||
else
|
||||
|
|
@ -1304,6 +1322,11 @@ private:
|
|||
//we have the stop point in Mul3Big2() method
|
||||
#endif
|
||||
|
||||
#if defined(__GNUC__) && !defined(__clang__)
|
||||
#pragma GCC diagnostic push
|
||||
#pragma GCC diagnostic ignored "-Wunused-but-set-variable"
|
||||
#endif
|
||||
|
||||
|
||||
/*!
|
||||
an auxiliary method for calculating the Karatsuba multiplication
|
||||
|
|
@ -1355,10 +1378,18 @@ private:
|
|||
|
||||
Mul3Big2<first_size>(temp.table, temp2.table, z1.table);
|
||||
|
||||
#ifdef __clang__
|
||||
#pragma clang diagnostic push
|
||||
#pragma clang diagnostic ignored "-Wtautological-compare"
|
||||
#endif
|
||||
|
||||
// clearing the rest of z1
|
||||
for(i=first_size*2 ; i<first_size*3 ; ++i)
|
||||
z1.table[i] = 0;
|
||||
|
||||
#ifdef __clang__
|
||||
#pragma clang diagnostic pop
|
||||
#endif
|
||||
|
||||
if( xc )
|
||||
{
|
||||
|
|
@ -1375,9 +1406,18 @@ private:
|
|||
|
||||
if( xc && yc )
|
||||
{
|
||||
#ifdef __clang__
|
||||
#pragma clang diagnostic push
|
||||
#pragma clang diagnostic ignored "-Wtautological-compare"
|
||||
#endif
|
||||
|
||||
for( i=first_size*2 ; i<first_size*3 ; ++i )
|
||||
if( ++z1.table[i] != 0 )
|
||||
break; // break if there was no carry
|
||||
break; // break if there was no carry
|
||||
|
||||
#ifdef __clang__
|
||||
#pragma clang diagnostic pop
|
||||
#endif
|
||||
}
|
||||
|
||||
// z1 = z1 - z2
|
||||
|
|
@ -1396,11 +1436,20 @@ private:
|
|||
uint z1_size = result_size - first_size;
|
||||
TTMATH_ASSERT( z1_size <= first_size*3 )
|
||||
|
||||
#ifdef __clang__
|
||||
#pragma clang diagnostic push
|
||||
#pragma clang diagnostic ignored "-Wtautological-compare"
|
||||
#endif
|
||||
|
||||
for(i=z1_size ; i<first_size*3 ; ++i)
|
||||
{
|
||||
TTMATH_ASSERT( z1.table[i] == 0 )
|
||||
}
|
||||
|
||||
|
||||
#ifdef __clang__
|
||||
#pragma clang diagnostic pop
|
||||
#endif
|
||||
|
||||
c = AddVector(result+first_size, z1.table, result_size-first_size, z1_size, result+first_size);
|
||||
TTMATH_ASSERT(c==0)
|
||||
}
|
||||
|
|
@ -1412,6 +1461,9 @@ private:
|
|||
}
|
||||
|
||||
|
||||
#if defined(__GNUC__) && !defined(__clang__)
|
||||
#pragma GCC diagnostic pop
|
||||
#endif
|
||||
|
||||
#ifdef _MSC_VER
|
||||
#pragma warning (default : 4717)
|
||||
|
|
@ -1458,7 +1510,10 @@ public:
|
|||
void MulFastestBig(const UInt<value_size> & ss2, UInt<value_size*2> & result)
|
||||
{
|
||||
if( value_size < TTMATH_USE_KARATSUBA_MULTIPLICATION_FROM_SIZE )
|
||||
return Mul2Big(ss2, result);
|
||||
{
|
||||
Mul2Big(ss2, result);
|
||||
return;
|
||||
}
|
||||
|
||||
uint x1size = value_size, x2size = value_size;
|
||||
uint x1start = 0, x2start = 0;
|
||||
|
|
@ -1480,9 +1535,12 @@ public:
|
|||
uint distancex2 = x2size - x2start;
|
||||
|
||||
if( distancex1 < 3 || distancex2 < 3 )
|
||||
{
|
||||
// either 'this' or 'ss2' have only 2 (or 1) items different from zero (side by side)
|
||||
// (this condition in the future can be improved)
|
||||
return Mul2Big3<value_size>(table, ss2.table, result, x1start, x1size, x2start, x2size);
|
||||
Mul2Big3<value_size>(table, ss2.table, result, x1start, x1size, x2start, x2size);
|
||||
return;
|
||||
}
|
||||
|
||||
|
||||
// Karatsuba multiplication
|
||||
|
|
@ -1560,10 +1618,10 @@ public:
|
|||
division this = this / ss2
|
||||
|
||||
return values:
|
||||
0 - ok
|
||||
1 - division by zero
|
||||
'this' will be the quotient
|
||||
'remainder' - remainder
|
||||
- 0 - ok
|
||||
- 1 - division by zero
|
||||
- 'this' will be the quotient
|
||||
- 'remainder' - remainder
|
||||
*/
|
||||
uint Div( const UInt<value_size> & divisor,
|
||||
UInt<value_size> * remainder = 0,
|
||||
|
|
@ -1594,9 +1652,9 @@ private:
|
|||
|
||||
/*!
|
||||
return values:
|
||||
0 - none has to be done
|
||||
1 - division by zero
|
||||
2 - division should be made
|
||||
- 0 - none has to be done
|
||||
- 1 - division by zero
|
||||
- 2 - division should be made
|
||||
*/
|
||||
uint Div_StandardTest( const UInt<value_size> & v,
|
||||
uint & m, uint & n,
|
||||
|
|
@ -1642,13 +1700,13 @@ private:
|
|||
|
||||
/*!
|
||||
return values:
|
||||
0 - ok
|
||||
'm' - is the index (from 0) of last non-zero word in table ('this')
|
||||
'n' - is the index (from 0) of last non-zero word in v.table
|
||||
1 - v is zero
|
||||
2 - 'this' is zero
|
||||
3 - 'this' is smaller than v
|
||||
4 - 'this' is equal v
|
||||
- 0 - ok
|
||||
- 'm' - is the index (from 0) of last non-zero word in table ('this')
|
||||
- 'n' - is the index (from 0) of last non-zero word in v.table
|
||||
- 1 - v is zero
|
||||
- 2 - 'this' is zero
|
||||
- 3 - 'this' is smaller than v
|
||||
- 4 - 'this' is equal v
|
||||
|
||||
if the return value is different than zero the 'm' and 'n' are undefined
|
||||
*/
|
||||
|
|
@ -1689,7 +1747,7 @@ public:
|
|||
|
||||
/*!
|
||||
the first division algorithm
|
||||
radix 2
|
||||
(radix 2)
|
||||
*/
|
||||
uint Div1(const UInt<value_size> & divisor, UInt<value_size> * remainder = 0)
|
||||
{
|
||||
|
|
@ -1712,7 +1770,7 @@ public:
|
|||
|
||||
/*!
|
||||
the first division algorithm
|
||||
radix 2
|
||||
(radix 2)
|
||||
*/
|
||||
uint Div1(const UInt<value_size> & divisor, UInt<value_size> & remainder)
|
||||
{
|
||||
|
|
@ -1798,8 +1856,8 @@ public:
|
|||
the second division algorithm
|
||||
|
||||
return values:
|
||||
0 - ok
|
||||
1 - division by zero
|
||||
- 0 - ok
|
||||
- 1 - division by zero
|
||||
*/
|
||||
uint Div2(const UInt<value_size> & divisor, UInt<value_size> * remainder = 0)
|
||||
{
|
||||
|
|
@ -1819,8 +1877,8 @@ public:
|
|||
the second division algorithm
|
||||
|
||||
return values:
|
||||
0 - ok
|
||||
1 - division by zero
|
||||
- 0 - ok
|
||||
- 1 - division by zero
|
||||
*/
|
||||
uint Div2(const UInt<value_size> & divisor, UInt<value_size> & remainder)
|
||||
{
|
||||
|
|
@ -1834,8 +1892,8 @@ private:
|
|||
the second division algorithm
|
||||
|
||||
return values:
|
||||
0 - ok
|
||||
1 - division by zero
|
||||
- 0 - ok
|
||||
- 1 - division by zero
|
||||
*/
|
||||
uint Div2Ref(const UInt<value_size> & divisor, UInt<value_size> * remainder = 0)
|
||||
{
|
||||
|
|
@ -1866,9 +1924,9 @@ private:
|
|||
|
||||
/*!
|
||||
return values:
|
||||
0 - we've calculated the division
|
||||
1 - division by zero
|
||||
2 - we have to still calculate
|
||||
- 0 - we've calculated the division
|
||||
- 1 - division by zero
|
||||
- 2 - we have to still calculate
|
||||
|
||||
*/
|
||||
uint Div2_Calculate(const UInt<value_size> & divisor, UInt<value_size> * remainder,
|
||||
|
|
@ -1910,9 +1968,9 @@ private:
|
|||
|
||||
/*!
|
||||
return values:
|
||||
0 - we've calculated the division
|
||||
1 - division by zero
|
||||
2 - we have to still calculate
|
||||
- 0 - we've calculated the division
|
||||
- 1 - division by zero
|
||||
- 2 - we have to still calculate
|
||||
*/
|
||||
uint Div2_FindLeadingBitsAndCheck( const UInt<value_size> & divisor,
|
||||
UInt<value_size> * remainder,
|
||||
|
|
@ -1979,7 +2037,7 @@ private:
|
|||
|
||||
/*!
|
||||
return values:
|
||||
true if divisor is equal or greater than 'this'
|
||||
- true if divisor is equal or greater than 'this'
|
||||
*/
|
||||
bool Div2_DivisorGreaterOrEqual( const UInt<value_size> & divisor,
|
||||
UInt<value_size> * remainder,
|
||||
|
|
@ -2226,8 +2284,8 @@ private:
|
|||
the bits from 'this' we're moving the same times as 'v')
|
||||
|
||||
return values:
|
||||
d - how many times we've moved
|
||||
return - the next-left value from 'this' (that after table[value_size-1])
|
||||
- d - how many times we've moved
|
||||
- return - the next-left value from 'this' (that after table[value_size-1])
|
||||
*/
|
||||
uint Div3_Normalize(UInt<value_size> & v, uint n, uint & d)
|
||||
{
|
||||
|
|
@ -2360,9 +2418,9 @@ public:
|
|||
binary algorithm (r-to-l)
|
||||
|
||||
return values:
|
||||
0 - ok
|
||||
1 - carry
|
||||
2 - incorrect argument (0^0)
|
||||
- 0 - ok
|
||||
- 1 - carry
|
||||
- 2 - incorrect argument (0^0)
|
||||
*/
|
||||
uint Pow(UInt<value_size> pow)
|
||||
{
|
||||
|
|
@ -2370,7 +2428,7 @@ public:
|
|||
// we don't define zero^zero
|
||||
return 2;
|
||||
|
||||
UInt<value_size> start(*this), start_temp;
|
||||
UInt<value_size> start(*this);
|
||||
UInt<value_size> result;
|
||||
result.SetOne();
|
||||
uint c = 0;
|
||||
|
|
@ -2384,9 +2442,7 @@ public:
|
|||
if( pow.IsZero() )
|
||||
break;
|
||||
|
||||
start_temp = start;
|
||||
// in the second Mul algorithm we can use start.Mul(start) directly (there is no TTMATH_ASSERT_REFERENCE there)
|
||||
c += start.Mul(start_temp);
|
||||
c += start.Mul(start);
|
||||
}
|
||||
|
||||
*this = result;
|
||||
|
|
@ -2442,6 +2498,7 @@ public:
|
|||
|
||||
|
||||
|
||||
|
||||
/*!
|
||||
this method sets n first bits to value zero
|
||||
|
||||
|
|
@ -2507,10 +2564,18 @@ public:
|
|||
*/
|
||||
bool IsOnlyTheHighestBitSet() const
|
||||
{
|
||||
#ifdef __clang__
|
||||
#pragma clang diagnostic push
|
||||
#pragma clang diagnostic ignored "-Wtautological-compare"
|
||||
#endif
|
||||
|
||||
for(uint i=0 ; i<value_size-1 ; ++i)
|
||||
if( table[i] != 0 )
|
||||
return false;
|
||||
|
||||
#ifdef __clang__
|
||||
#pragma clang diagnostic pop
|
||||
#endif
|
||||
if( table[value_size-1] != TTMATH_UINT_HIGHEST_BIT )
|
||||
return false;
|
||||
|
||||
|
|
@ -3206,36 +3271,98 @@ public:
|
|||
|
||||
|
||||
|
||||
private:
|
||||
protected:
|
||||
|
||||
/*!
|
||||
an auxiliary method for converting into the string
|
||||
it returns the log (with the base 2) from x
|
||||
where x is in <2;16>
|
||||
*/
|
||||
double ToStringLog2(uint x) const
|
||||
{
|
||||
static double log_tab[] = {
|
||||
1.000000000000000000,
|
||||
0.630929753571457437,
|
||||
0.500000000000000000,
|
||||
0.430676558073393050,
|
||||
0.386852807234541586,
|
||||
0.356207187108022176,
|
||||
0.333333333333333333,
|
||||
0.315464876785728718,
|
||||
0.301029995663981195,
|
||||
0.289064826317887859,
|
||||
0.278942945651129843,
|
||||
0.270238154427319741,
|
||||
0.262649535037193547,
|
||||
0.255958024809815489,
|
||||
0.250000000000000000
|
||||
};
|
||||
|
||||
if( x<2 || x>16 )
|
||||
return 0;
|
||||
|
||||
return log_tab[x-2];
|
||||
}
|
||||
|
||||
|
||||
public:
|
||||
|
||||
|
||||
/*!
|
||||
an auxiliary method for converting to a string
|
||||
it's used from Int::ToString() too (negative is set true then)
|
||||
*/
|
||||
template<class string_type>
|
||||
void ToStringBase(string_type & result, uint b = 10) const
|
||||
void ToStringBase(string_type & result, uint b = 10, bool negative = false) const
|
||||
{
|
||||
UInt<value_size> temp( *this );
|
||||
UInt<value_size> temp(*this);
|
||||
uint rest, table_id, index, digits;
|
||||
double digits_d;
|
||||
char character;
|
||||
uint rem;
|
||||
|
||||
result.clear();
|
||||
|
||||
if( b<2 || b>16 )
|
||||
return;
|
||||
|
||||
if( !FindLeadingBit(table_id, index) )
|
||||
{
|
||||
result = '0';
|
||||
return;
|
||||
}
|
||||
|
||||
if( negative )
|
||||
result = '-';
|
||||
|
||||
digits_d = static_cast<double>(table_id); // for not making an overflow in uint type
|
||||
digits_d *= TTMATH_BITS_PER_UINT;
|
||||
digits_d += index + 1;
|
||||
digits_d *= ToStringLog2(b);
|
||||
digits = static_cast<uint>(digits_d) + 3; // plus some epsilon
|
||||
|
||||
if( result.capacity() < digits )
|
||||
result.reserve(digits);
|
||||
|
||||
do
|
||||
{
|
||||
temp.DivInt(b, &rem);
|
||||
character = static_cast<char>( Misc::DigitToChar(rem) );
|
||||
result.insert(result.begin(), character);
|
||||
temp.DivInt(b, &rest);
|
||||
character = static_cast<char>(Misc::DigitToChar(rest));
|
||||
result.insert(result.end(), character);
|
||||
}
|
||||
while( !temp.IsZero() );
|
||||
|
||||
return;
|
||||
size_t i1 = negative ? 1 : 0; // the first is a hyphen (when negative is true)
|
||||
size_t i2 = result.size() - 1;
|
||||
|
||||
for( ; i1 < i2 ; ++i1, --i2 )
|
||||
{
|
||||
char tempc = static_cast<char>(result[i1]);
|
||||
result[i1] = result[i2];
|
||||
result[i2] = tempc;
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
public:
|
||||
|
||||
/*!
|
||||
this method converts the value to a string with a base equal 'b'
|
||||
|
|
@ -3310,7 +3437,7 @@ private:
|
|||
{
|
||||
temp.table[0] = z;
|
||||
|
||||
c += Mul(base);
|
||||
c += Mul(base); // !! IMPROVE ME: there can be used MulInt here
|
||||
c += Add(temp);
|
||||
}
|
||||
}
|
||||
|
|
@ -3976,7 +4103,7 @@ public:
|
|||
|
||||
|
||||
/*
|
||||
following methods are defined in:
|
||||
Following methods are defined in:
|
||||
ttmathuint_x86.h
|
||||
ttmathuint_x86_64.h
|
||||
ttmathuint_noasm.h
|
||||
|
|
@ -4037,7 +4164,7 @@ public:
|
|||
|
||||
|
||||
/*!
|
||||
this specialization is needed in order to not confused the compiler "error: ISO C++ forbids zero-size array"
|
||||
this specialization is needed in order to not confuse the compiler "error: ISO C++ forbids zero-size array"
|
||||
when compiling Mul3Big2() method
|
||||
*/
|
||||
template<>
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* This file is a part of TTMath Bignum Library
|
||||
* and is distributed under the (new) BSD licence.
|
||||
* and is distributed under the 3-Clause BSD Licence.
|
||||
* Author: Tomasz Sowa <t.sowa@ttmath.org>
|
||||
*/
|
||||
|
||||
|
|
@ -39,15 +39,16 @@
|
|||
#define headerfilettmathuint_noasm
|
||||
|
||||
|
||||
#ifdef TTMATH_NOASM
|
||||
|
||||
/*!
|
||||
\file ttmathuint_noasm.h
|
||||
\brief template class UInt<uint> with methods without any assembler code
|
||||
\brief template class UInt<uint> with methods without any assembler code (used for no-asm version of ttmath)
|
||||
|
||||
this file is included at the end of ttmathuint.h
|
||||
*/
|
||||
|
||||
#ifdef TTMATH_NOASM
|
||||
|
||||
|
||||
|
||||
namespace ttmath
|
||||
{
|
||||
|
|
@ -55,12 +56,12 @@ namespace ttmath
|
|||
/*!
|
||||
returning the string represents the currect type of the library
|
||||
we have following types:
|
||||
asm_vc_32 - with asm code designed for Microsoft Visual C++ (32 bits)
|
||||
asm_gcc_32 - with asm code designed for GCC (32 bits)
|
||||
asm_vc_64 - with asm for VC (64 bit)
|
||||
asm_gcc_64 - with asm for GCC (64 bit)
|
||||
no_asm_32 - pure C++ version (32 bit) - without any asm code
|
||||
no_asm_64 - pure C++ version (64 bit) - without any asm code
|
||||
- asm_vc_32 - with asm code designed for Microsoft Visual C++ (32 bits)
|
||||
- asm_gcc_32 - with asm code designed for GCC (32 bits)
|
||||
- asm_vc_64 - with asm for VC (64 bit)
|
||||
- asm_gcc_64 - with asm for GCC (64 bit)
|
||||
- no_asm_32 - pure C++ version (32 bit) - without any asm code
|
||||
- no_asm_64 - pure C++ version (64 bit) - without any asm code
|
||||
*/
|
||||
template<uint value_size>
|
||||
const char * UInt<value_size>::LibTypeStr()
|
||||
|
|
@ -156,12 +157,17 @@ namespace ttmath
|
|||
and returns a carry (if it was)
|
||||
|
||||
if we've got (value_size=3):
|
||||
|
||||
table[0] = 10;
|
||||
table[1] = 30;
|
||||
table[2] = 5;
|
||||
table[2] = 5;
|
||||
|
||||
and we call:
|
||||
|
||||
AddInt(2,1)
|
||||
|
||||
then it'll be:
|
||||
|
||||
table[0] = 10;
|
||||
table[1] = 30 + 2;
|
||||
table[2] = 5;
|
||||
|
|
@ -199,17 +205,23 @@ namespace ttmath
|
|||
x1 - lower word, x2 - higher word
|
||||
|
||||
for example if we've got value_size equal 4 and:
|
||||
|
||||
table[0] = 3
|
||||
table[1] = 4
|
||||
table[2] = 5
|
||||
table[3] = 6
|
||||
|
||||
then let
|
||||
|
||||
x1 = 10
|
||||
x2 = 20
|
||||
|
||||
and
|
||||
|
||||
index = 1
|
||||
|
||||
the result of this method will be:
|
||||
|
||||
table[0] = 3
|
||||
table[1] = 4 + x1 = 14
|
||||
table[2] = 5 + x2 = 25
|
||||
|
|
@ -245,19 +257,20 @@ namespace ttmath
|
|||
this static method addes one vector to the other
|
||||
'ss1' is larger in size or equal to 'ss2'
|
||||
|
||||
ss1 points to the first (larger) vector
|
||||
ss2 points to the second vector
|
||||
ss1_size - size of the ss1 (and size of the result too)
|
||||
ss2_size - size of the ss2
|
||||
result - is the result vector (which has size the same as ss1: ss1_size)
|
||||
- ss1 points to the first (larger) vector
|
||||
- ss2 points to the second vector
|
||||
- ss1_size - size of the ss1 (and size of the result too)
|
||||
- ss2_size - size of the ss2
|
||||
- result - is the result vector (which has size the same as ss1: ss1_size)
|
||||
|
||||
Example: ss1_size is 5, ss2_size is 3
|
||||
ss1: ss2: result (output):
|
||||
5 1 5+1
|
||||
4 3 4+3
|
||||
2 7 2+7
|
||||
6 6
|
||||
9 9
|
||||
|
||||
Example: ss1_size is 5, ss2_size is 3
|
||||
ss1: ss2: result (output):
|
||||
5 1 5+1
|
||||
4 3 4+3
|
||||
2 7 2+7
|
||||
6 6
|
||||
9 9
|
||||
of course the carry is propagated and will be returned from the last item
|
||||
(this method is used by the Karatsuba multiplication algorithm)
|
||||
*/
|
||||
|
|
@ -342,12 +355,17 @@ namespace ttmath
|
|||
and returns a carry (if it was)
|
||||
|
||||
if we've got (value_size=3):
|
||||
|
||||
table[0] = 10;
|
||||
table[1] = 30;
|
||||
table[2] = 5;
|
||||
|
||||
and we call:
|
||||
|
||||
SubInt(2,1)
|
||||
|
||||
then it'll be:
|
||||
|
||||
table[0] = 10;
|
||||
table[1] = 30 - 2;
|
||||
table[2] = 5;
|
||||
|
|
@ -377,19 +395,19 @@ namespace ttmath
|
|||
this static method subtractes one vector from the other
|
||||
'ss1' is larger in size or equal to 'ss2'
|
||||
|
||||
ss1 points to the first (larger) vector
|
||||
ss2 points to the second vector
|
||||
ss1_size - size of the ss1 (and size of the result too)
|
||||
ss2_size - size of the ss2
|
||||
result - is the result vector (which has size the same as ss1: ss1_size)
|
||||
- ss1 points to the first (larger) vector
|
||||
- ss2 points to the second vector
|
||||
- ss1_size - size of the ss1 (and size of the result too)
|
||||
- ss2_size - size of the ss2
|
||||
- result - is the result vector (which has size the same as ss1: ss1_size)
|
||||
|
||||
Example: ss1_size is 5, ss2_size is 3
|
||||
ss1: ss2: result (output):
|
||||
5 1 5-1
|
||||
4 3 4-3
|
||||
2 7 2-7
|
||||
6 6-1 (the borrow from previous item)
|
||||
9 9
|
||||
Example: ss1_size is 5, ss2_size is 3
|
||||
ss1: ss2: result (output):
|
||||
5 1 5-1
|
||||
4 3 4-3
|
||||
2 7 2-7
|
||||
6 6-1 (the borrow from previous item)
|
||||
9 9
|
||||
return (carry): 0
|
||||
of course the carry (borrow) is propagated and will be returned from the last item
|
||||
(this method is used by the Karatsuba multiplication algorithm)
|
||||
|
|
@ -622,9 +640,11 @@ namespace ttmath
|
|||
bit is from <0,TTMATH_BITS_PER_UINT-1>
|
||||
|
||||
e.g.
|
||||
uint x = 100;
|
||||
uint bit = SetBitInWord(x, 3);
|
||||
now: x = 108 and bit = 0
|
||||
|
||||
uint x = 100;
|
||||
uint bit = SetBitInWord(x, 3);
|
||||
|
||||
now: x = 108 and bit = 0
|
||||
*/
|
||||
template<uint value_size>
|
||||
uint UInt<value_size>::SetBitInWord(uint & value, uint bit)
|
||||
|
|
@ -657,10 +677,11 @@ namespace ttmath
|
|||
|
||||
/*!
|
||||
multiplication: result_high:result_low = a * b
|
||||
result_high - higher word of the result
|
||||
result_low - lower word of the result
|
||||
- result_high - higher word of the result
|
||||
- result_low - lower word of the result
|
||||
|
||||
this methos never returns a carry
|
||||
|
||||
this method is used in the second version of the multiplication algorithms
|
||||
*/
|
||||
template<uint value_size>
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* This file is a part of TTMath Bignum Library
|
||||
* and is distributed under the (new) BSD licence.
|
||||
* and is distributed under the 3-Clause BSD Licence.
|
||||
* Author: Tomasz Sowa <t.sowa@ttmath.org>
|
||||
*/
|
||||
|
||||
|
|
@ -35,16 +35,10 @@
|
|||
* THE POSSIBILITY OF SUCH DAMAGE.
|
||||
*/
|
||||
|
||||
|
||||
|
||||
#ifndef headerfilettmathuint_x86
|
||||
#define headerfilettmathuint_x86
|
||||
|
||||
|
||||
#ifndef TTMATH_NOASM
|
||||
#ifdef TTMATH_PLATFORM32
|
||||
|
||||
|
||||
/*!
|
||||
\file ttmathuint_x86.h
|
||||
\brief template class UInt<uint> with assembler code for 32bit x86 processors
|
||||
|
|
@ -53,6 +47,12 @@
|
|||
*/
|
||||
|
||||
|
||||
#ifndef TTMATH_NOASM
|
||||
#ifdef TTMATH_PLATFORM32
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
/*!
|
||||
\brief a namespace for the TTMath library
|
||||
|
|
@ -62,13 +62,14 @@ namespace ttmath
|
|||
|
||||
/*!
|
||||
returning the string represents the currect type of the library
|
||||
|
||||
we have following types:
|
||||
asm_vc_32 - with asm code designed for Microsoft Visual C++ (32 bits)
|
||||
asm_gcc_32 - with asm code designed for GCC (32 bits)
|
||||
asm_vc_64 - with asm for VC (64 bit)
|
||||
asm_gcc_64 - with asm for GCC (64 bit)
|
||||
no_asm_32 - pure C++ version (32 bit) - without any asm code
|
||||
no_asm_64 - pure C++ version (64 bit) - without any asm code
|
||||
- asm_vc_32 - with asm code designed for Microsoft Visual C++ (32 bits)
|
||||
- asm_gcc_32 - with asm code designed for GCC (32 bits)
|
||||
- asm_vc_64 - with asm for VC (64 bit)
|
||||
- asm_gcc_64 - with asm for GCC (64 bit)
|
||||
- no_asm_32 - pure C++ version (32 bit) - without any asm code
|
||||
- no_asm_64 - pure C++ version (64 bit) - without any asm code
|
||||
*/
|
||||
template<uint value_size>
|
||||
const char * UInt<value_size>::LibTypeStr()
|
||||
|
|
@ -210,12 +211,17 @@ namespace ttmath
|
|||
e.g.
|
||||
|
||||
if we've got (value_size=3):
|
||||
|
||||
table[0] = 10;
|
||||
table[1] = 30;
|
||||
table[2] = 5;
|
||||
table[2] = 5;
|
||||
|
||||
and we call:
|
||||
|
||||
AddInt(2,1)
|
||||
|
||||
then it'll be:
|
||||
|
||||
table[0] = 10;
|
||||
table[1] = 30 + 2;
|
||||
table[2] = 5;
|
||||
|
|
@ -314,17 +320,23 @@ namespace ttmath
|
|||
x1 - lower word, x2 - higher word
|
||||
|
||||
for example if we've got value_size equal 4 and:
|
||||
|
||||
table[0] = 3
|
||||
table[1] = 4
|
||||
table[2] = 5
|
||||
table[3] = 6
|
||||
|
||||
then let
|
||||
|
||||
x1 = 10
|
||||
x2 = 20
|
||||
|
||||
and
|
||||
|
||||
index = 1
|
||||
|
||||
the result of this method will be:
|
||||
|
||||
table[0] = 3
|
||||
table[1] = 4 + x1 = 14
|
||||
table[2] = 5 + x2 = 25
|
||||
|
|
@ -653,12 +665,17 @@ namespace ttmath
|
|||
e.g.
|
||||
|
||||
if we've got (value_size=3):
|
||||
|
||||
table[0] = 10;
|
||||
table[1] = 30;
|
||||
table[2] = 5;
|
||||
|
||||
and we call:
|
||||
|
||||
SubInt(2,1)
|
||||
|
||||
then it'll be:
|
||||
|
||||
table[0] = 10;
|
||||
table[1] = 30 - 2;
|
||||
table[2] = 5;
|
||||
|
|
@ -1405,9 +1422,10 @@ namespace ttmath
|
|||
|
||||
bit is from <0,31>
|
||||
e.g.
|
||||
uint x = 100;
|
||||
uint bit = SetBitInWord(x, 3);
|
||||
now: x = 108 and bit = 0
|
||||
|
||||
uint x = 100;
|
||||
uint bit = SetBitInWord(x, 3);
|
||||
now: x = 108 and bit = 0
|
||||
*/
|
||||
template<uint value_size>
|
||||
uint UInt<value_size>::SetBitInWord(uint & value, uint bit)
|
||||
|
|
|
|||
|
|
@ -1,6 +1,6 @@
|
|||
/*
|
||||
* This file is a part of TTMath Bignum Library
|
||||
* and is distributed under the (new) BSD licence.
|
||||
* and is distributed under the 3-Clause BSD Licence.
|
||||
* Author: Tomasz Sowa <t.sowa@ttmath.org>
|
||||
*/
|
||||
|
||||
|
|
@ -51,6 +51,21 @@
|
|||
this file is included at the end of ttmathuint.h
|
||||
*/
|
||||
|
||||
|
||||
/*!
|
||||
\file ttmathuint_x86_64_msvc.asm
|
||||
\brief some asm routines for x86_64 when using Microsoft compiler
|
||||
|
||||
this file should be first compiled:
|
||||
- compile with debug info: ml64.exe /c /Zd /Zi ttmathuint_x86_64_msvc.asm
|
||||
- compile without debug info: ml64.exe /c ttmathuint_x86_64_msvc.asm
|
||||
|
||||
this creates ttmathuint_x86_64_msvc.obj file which can be linked with your program
|
||||
|
||||
(you can use win64_assemble.bat file from ttmath subdirectory)
|
||||
*/
|
||||
|
||||
|
||||
#ifndef __GNUC__
|
||||
#include <intrin.h>
|
||||
#endif
|
||||
|
|
@ -195,12 +210,17 @@ namespace ttmath
|
|||
|
||||
|
||||
if we've got (value_size=3):
|
||||
|
||||
table[0] = 10;
|
||||
table[1] = 30;
|
||||
table[2] = 5;
|
||||
table[2] = 5;
|
||||
|
||||
and we call:
|
||||
|
||||
AddInt(2,1)
|
||||
|
||||
then it'll be:
|
||||
|
||||
table[0] = 10;
|
||||
table[1] = 30 + 2;
|
||||
table[2] = 5;
|
||||
|
|
@ -265,17 +285,23 @@ namespace ttmath
|
|||
x1 - lower word, x2 - higher word
|
||||
|
||||
for example if we've got value_size equal 4 and:
|
||||
|
||||
table[0] = 3
|
||||
table[1] = 4
|
||||
table[2] = 5
|
||||
table[3] = 6
|
||||
|
||||
then let
|
||||
|
||||
x1 = 10
|
||||
x2 = 20
|
||||
|
||||
and
|
||||
|
||||
index = 1
|
||||
|
||||
the result of this method will be:
|
||||
|
||||
table[0] = 3
|
||||
table[1] = 4 + x1 = 14
|
||||
table[2] = 5 + x2 = 25
|
||||
|
|
@ -341,19 +367,19 @@ namespace ttmath
|
|||
this static method addes one vector to the other
|
||||
'ss1' is larger in size or equal to 'ss2'
|
||||
|
||||
ss1 points to the first (larger) vector
|
||||
ss2 points to the second vector
|
||||
ss1_size - size of the ss1 (and size of the result too)
|
||||
ss2_size - size of the ss2
|
||||
result - is the result vector (which has size the same as ss1: ss1_size)
|
||||
- ss1 points to the first (larger) vector
|
||||
- ss2 points to the second vector
|
||||
- ss1_size - size of the ss1 (and size of the result too)
|
||||
- ss2_size - size of the ss2
|
||||
- result - is the result vector (which has size the same as ss1: ss1_size)
|
||||
|
||||
Example: ss1_size is 5, ss2_size is 3
|
||||
ss1: ss2: result (output):
|
||||
5 1 5+1
|
||||
4 3 4+3
|
||||
2 7 2+7
|
||||
6 6
|
||||
9 9
|
||||
Example: ss1_size is 5, ss2_size is 3
|
||||
ss1: ss2: result (output):
|
||||
5 1 5+1
|
||||
4 3 4+3
|
||||
2 7 2+7
|
||||
6 6
|
||||
9 9
|
||||
of course the carry is propagated and will be returned from the last item
|
||||
(this method is used by the Karatsuba multiplication algorithm)
|
||||
*/
|
||||
|
|
@ -483,12 +509,17 @@ namespace ttmath
|
|||
***this method is created only on a 64bit platform***
|
||||
|
||||
if we've got (value_size=3):
|
||||
|
||||
table[0] = 10;
|
||||
table[1] = 30;
|
||||
table[2] = 5;
|
||||
|
||||
and we call:
|
||||
|
||||
SubInt(2,1)
|
||||
|
||||
then it'll be:
|
||||
|
||||
table[0] = 10;
|
||||
table[1] = 30 - 2;
|
||||
table[2] = 5;
|
||||
|
|
@ -545,19 +576,19 @@ namespace ttmath
|
|||
this static method subtractes one vector from the other
|
||||
'ss1' is larger in size or equal to 'ss2'
|
||||
|
||||
ss1 points to the first (larger) vector
|
||||
ss2 points to the second vector
|
||||
ss1_size - size of the ss1 (and size of the result too)
|
||||
ss2_size - size of the ss2
|
||||
result - is the result vector (which has size the same as ss1: ss1_size)
|
||||
- ss1 points to the first (larger) vector
|
||||
- ss2 points to the second vector
|
||||
- ss1_size - size of the ss1 (and size of the result too)
|
||||
- ss2_size - size of the ss2
|
||||
- result - is the result vector (which has size the same as ss1: ss1_size)
|
||||
|
||||
Example: ss1_size is 5, ss2_size is 3
|
||||
ss1: ss2: result (output):
|
||||
5 1 5-1
|
||||
4 3 4-3
|
||||
2 7 2-7
|
||||
6 6-1 (the borrow from previous item)
|
||||
9 9
|
||||
Example: ss1_size is 5, ss2_size is 3
|
||||
ss1: ss2: result (output):
|
||||
5 1 5-1
|
||||
4 3 4-3
|
||||
2 7 2-7
|
||||
6 6-1 (the borrow from previous item)
|
||||
9 9
|
||||
return (carry): 0
|
||||
of course the carry (borrow) is propagated and will be returned from the last item
|
||||
(this method is used by the Karatsuba multiplication algorithm)
|
||||
|
|
@ -1029,8 +1060,8 @@ namespace ttmath
|
|||
|
||||
/*!
|
||||
multiplication: result_high:result_low = a * b
|
||||
result_high - higher word of the result
|
||||
result_low - lower word of the result
|
||||
- result_high - higher word of the result
|
||||
- result_low - lower word of the result
|
||||
|
||||
this methos never returns a carry
|
||||
this method is used in the second version of the multiplication algorithms
|
||||
|
|
|
|||
|
|
@ -1,11 +1,11 @@
|
|||
;
|
||||
; This file is a part of TTMath Bignum Library
|
||||
; and is distributed under the (new) BSD licence.
|
||||
; Author: Christian Kaiser <chk@online.de>
|
||||
; and is distributed under the 3-Clause BSD Licence.
|
||||
; Author: Christian Kaiser <chk@online.de>, Tomasz Sowa <t.sowa@ttmath.org>
|
||||
;
|
||||
|
||||
;
|
||||
; Copyright (c) 2009, Christian Kaiser
|
||||
; Copyright (c) 2009-2017, Christian Kaiser, Tomasz Sowa
|
||||
; All rights reserved.
|
||||
;
|
||||
; Redistribution and use in source and binary forms, with or without
|
||||
|
|
@ -41,6 +41,9 @@
|
|||
; this creates ttmathuint_x86_64_msvc.obj file which can be linked with your program
|
||||
;
|
||||
|
||||
; doxygen info is put to ttmathuint_x86_64.h file
|
||||
|
||||
|
||||
PUBLIC ttmath_adc_x64
|
||||
PUBLIC ttmath_addindexed_x64
|
||||
PUBLIC ttmath_addindexed2_x64
|
||||
|
|
@ -151,12 +154,12 @@ ttmath_addindexed2_x64 PROC
|
|||
; rdx = b (value size)
|
||||
; r8 = nPos
|
||||
; r9 = nValue1
|
||||
; [esp+0x28] = nValue2
|
||||
; [rsp+0x28] = nValue2
|
||||
|
||||
xor rax, rax ; return value
|
||||
mov r11, rcx ; table
|
||||
sub rdx, r8 ; rdx = remaining count of uints
|
||||
mov r10, [esp+028h] ; r10 = nValue2
|
||||
mov r10, [rsp+028h] ; r10 = nValue2
|
||||
|
||||
add qword ptr [r11 + r8 * 8], r9
|
||||
lea r8, [r8+1]
|
||||
|
|
@ -194,9 +197,9 @@ ttmath_addvector_x64 PROC
|
|||
; rdx = ss2
|
||||
; r8 = ss1_size
|
||||
; r9 = ss2_size
|
||||
; [esp+0x28] = result
|
||||
; [rsp+0x28] = result
|
||||
|
||||
mov r10, [esp+028h]
|
||||
mov r10, [rsp+028h]
|
||||
sub r8, r9
|
||||
xor r11, r11 ; r11=0, cf=0
|
||||
|
||||
|
|
@ -316,9 +319,9 @@ ttmath_subvector_x64 PROC
|
|||
; rdx = ss2
|
||||
; r8 = ss1_size
|
||||
; r9 = ss2_size
|
||||
; [esp+0x28] = result
|
||||
; [rsp+0x28] = result
|
||||
|
||||
mov r10, [esp+028h]
|
||||
mov r10, [rsp+028h]
|
||||
sub r8, r9
|
||||
xor r11, r11 ; r11=0, cf=0
|
||||
|
||||
|
|
|
|||
|
|
@ -0,0 +1,9 @@
|
|||
rem make sure this is a proper path to the 64 bit assembler
|
||||
"C:\Program Files (x86)\Microsoft Visual Studio 14.0\VC\bin\amd64\ml64.exe" /c ttmathuint_x86_64_msvc.asm
|
||||
rem ml64.exe will produce ttmathuint_x86_64_msvc.obj which should be added (linked) to your project
|
||||
|
||||
rem or you can assemble with debug info
|
||||
rem ml64.exe /c /Zd /Zi ttmathuint_x86_64_msvc.asm
|
||||
|
||||
rem be nice, most Windows users just click on the file
|
||||
pause
|
||||
Loading…
Reference in New Issue