diff options
Diffstat (limited to 'contrib/libgmp/mpn')
66 files changed, 8908 insertions, 0 deletions
diff --git a/contrib/libgmp/mpn/Makefile.in b/contrib/libgmp/mpn/Makefile.in new file mode 100644 index 0000000..132159b --- /dev/null +++ b/contrib/libgmp/mpn/Makefile.in @@ -0,0 +1,92 @@ +# Makefile for GNU MP/mpn functions +# Copyright (C) 1991, 1993, 1994, 1996 Free Software Foundation, Inc. + +# This file is part of the GNU MP Library. + +# The GNU MP Library is free software; you can redistribute it and/or modify +# it under the terms of the GNU Library General Public License as published by +# the Free Software Foundation; either version 2 of the License, or (at your +# option) any later version. + +# The GNU MP Library is distributed in the hope that it will be useful, but +# WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +# or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +# License for more details. + +# You should have received a copy of the GNU Library General Public License +# along with the GNU MP Library; see the file COPYING.LIB. If not, write to +# the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +# MA 02111-1307, USA. + +srcdir = . + +MPN_OBJECTS = This gets filled in by configure.in. +MPN_LINKS = This gets filled in by configure.in. +CC = gcc +CPP = $(CC) -E +CFLAGS = -g -O +INCLUDES = -I. -I.. -I$(srcdir) -I$(srcdir)/.. +AR = ar +AR_FLAGS = rc +SFLAGS= + +#### host and target specific makefile fragments come in here. +### + +libmpn.a: Makefile mp_bases.o $(MPN_OBJECTS) + rm -f $@ + $(AR) $(AR_FLAGS) $@ mp_bases.o $(MPN_OBJECTS) + +.SUFFIXES: .c .s .S + +.c.o: + $(CC) -c $(INCLUDES) $(CFLAGS) $(XCFLAGS) $< + +.s.o: + $(CC) -c $(CFLAGS) $< + +.S.o: + $(CPP) $(SFLAGS) $(INCLUDES) $(CFLAGS) $< | grep -v '^#' >tmp-$*.s + $(CC) -c tmp-$*.s -o $@ + rm -f tmp-$*.s + +clean mostlyclean: + rm -f *.o tmp-* libmpn.a + #-cd tests; $(MAKE) $@ +distclean maintainer-clean: clean + rm -f asm-syntax.h Makefile config.status $(MPN_LINKS) + -cd tests; $(MAKE) $@ + +Makefile: $(srcdir)/Makefile.in + $(SHELL) ./config.status + + +# Maybe configure could add dependencies here..? + +H = $(srcdir)/../gmp.h $(srcdir)/../gmp-impl.h gmp-mparam.h +L = $(srcdir)/../longlong.h + +mp_bases.o: $(srcdir)/mp_bases.c $(H) +bdivmod.o: bdivmod.c $(H) $(L) +cmp.o: cmp.c $(H) +divmod_1.o: divmod_1.c $(H) $(L) +divrem.o: divrem.c $(H) $(L) +divrem_1.o: divrem_1.c $(H) $(L) +dump.o: dump.c $(H) +gcd.o: gcd.c $(H) $(L) +gcd_1.o: gcd_1.c $(H) $(L) +gcdext.o: gcdext.c $(H) $(L) +get_str.o: get_str.c $(H) $(L) +hamdist.o: hamdist.c $(H) +inlines.o: inlines.c $(srcdir)/../gmp.h +mod_1.o: mod_1.c $(H) $(L) +mul.o: mul.c $(H) +mul_n.o: mul_n.c $(H) +perfsqr.o: perfsqr.c $(H) $(L) +popcount.o: popcount.c $(H) +pre_mod_1.o: pre_mod_1.c $(H) $(L) +random2.o: random2.c $(H) +scan0.o: scan0.c $(H) $(L) +scan1.o: scan1.c $(H) $(L) +set_str.o: set_str.c $(H) +sqrtrem.o: sqrtrem.c $(H) $(L) diff --git a/contrib/libgmp/mpn/README b/contrib/libgmp/mpn/README new file mode 100644 index 0000000..3da559e --- /dev/null +++ b/contrib/libgmp/mpn/README @@ -0,0 +1,15 @@ +This directory contains all code for the mpn layer of GMP. + +Most subdirectories contain machine-dependent code, written in assembly or +C. The `generic' subdirectory contains default code, used when there is no +machine-dependent replacement for a particular machine. + +There is one subdirectory for each architecture. Note that e.g., 32-bit +sparc and 64-bit sparc cannot share any code, and are therefore considered +completely different architecture. + +A particular machine will only use code from one such subdirectory, and the +`generic' subdirectory. The architecture-specific subdirectory contains a +hierachy of directories for various architecture variants and +implementations; the top-most level contains code that runs correctly on all +variants. diff --git a/contrib/libgmp/mpn/bsd.h b/contrib/libgmp/mpn/bsd.h new file mode 100644 index 0000000..8a0cbce --- /dev/null +++ b/contrib/libgmp/mpn/bsd.h @@ -0,0 +1,5 @@ +#if __STDC__ +#define C_SYMBOL_NAME(name) _##name +#else +#define C_SYMBOL_NAME(name) _/**/name +#endif diff --git a/contrib/libgmp/mpn/config/t-oldgas b/contrib/libgmp/mpn/config/t-oldgas new file mode 100644 index 0000000..ba02fa7 --- /dev/null +++ b/contrib/libgmp/mpn/config/t-oldgas @@ -0,0 +1 @@ +SFLAGS=-DBROKEN_ALIGN diff --git a/contrib/libgmp/mpn/config/t-ppc-aix b/contrib/libgmp/mpn/config/t-ppc-aix new file mode 100644 index 0000000..a31ce0d --- /dev/null +++ b/contrib/libgmp/mpn/config/t-ppc-aix @@ -0,0 +1 @@ +SFLAGS=-Wa,-mppc diff --git a/contrib/libgmp/mpn/config/t-pwr-aix b/contrib/libgmp/mpn/config/t-pwr-aix new file mode 100644 index 0000000..3e11d9f --- /dev/null +++ b/contrib/libgmp/mpn/config/t-pwr-aix @@ -0,0 +1 @@ +SFLAGS=-Wa,-mpwr diff --git a/contrib/libgmp/mpn/configure.in b/contrib/libgmp/mpn/configure.in new file mode 100644 index 0000000..90c2626 --- /dev/null +++ b/contrib/libgmp/mpn/configure.in @@ -0,0 +1,178 @@ +# This file is a shell script fragment that supplies the information +# necessary for a configure script to process the program in +# this directory. For more information, look at ../configure. + +configdirs= +srctrigger=powerpc32 +srcname="GNU Multi-Precision library/mpn" + +# per-host: + +# per-target: + +case "${target}" in + sparc9*-*-* | sparc64*-*-* | ultrasparc*-*-*) + #path="sparc64" ;; Don't use this until compilers are ready + path="sparc32/v8 sparc" ;; + sparc8*-*-* | microsparc*-*-*) + path="sparc32/v8 sparc" ;; + supersparc*-*-*) + path="sparc32/v8/supersparc sparc32/v8 sparc" + extra_functions="udiv" ;; + sparc*-*-*) path="sparc32" + if [ x$floating_point = xno ] + then extra_functions="udiv_nfp" + else extra_functions="udiv_fp" + fi + ;; + hppa7000*-*-*) path="hppa/hppa1_1 hppa"; extra_functions="udiv_qrnnd" ;; + hppa1.0*-*-*) path="hppa"; extra_functions="udiv_qrnnd" ;; + hppa*-*-*) # assume pa7100 + path="hppa/hppa1_1/pa7100 hppa/hppa1_1 hppa" + extra_functions="udiv_qrnnd" ;; + cray2-cray-unicos* | [xy]mp-cray-unicos* | [ctj]90-cray-unicos*) + path="cray" ;; + alphaev5-*-*) path="alpha/ev5 alpha"; extra_functions="udiv_qrnnd" ;; + alpha*-*-*) path="alpha"; extra_functions="udiv_qrnnd" ;; + am29000*-*-*) path="am29000" ;; + a29k*-*-*) path="am29000" ;; + +# Intel x86 configurations + i[34]86*-*-linuxaout* | i[34]86*-*-linuxoldld* | \ + i[34]86*-*-*bsd*) # x86 running BSD or Linux with a.out + echo '#define BSD_SYNTAX' >asm-syntax.h + echo '#include "'$srcdir'/x86/syntax.h"' >>asm-syntax.h + path="x86" ;; + i[56]86*-*-linuxaout* | pentium-*-linuxaout* | pentiumpro-*-linuxaout* | \ + i[56]86*-*-linuxoldld* | pentium-*-linuxoldld* | pentiumpro-*-linuxoldld* | \ + i[56]86*-*-*bsd* | pentium-*-*bsd* | pentiumpro-*-*bsd*) + echo '#define BSD_SYNTAX' >asm-syntax.h + echo '#include "'$srcdir'/x86/syntax.h"' >>asm-syntax.h + path="x86/pentium x86" ;; + i[34]86*-*-*) # x86 with ELF/SysV format + echo '#define ELF_SYNTAX' >asm-syntax.h + echo '#include "'$srcdir'/x86/syntax.h"' >>asm-syntax.h + path="x86" ;; + i[56]86*-*-* | pentium-*-* | pentiumpro-*-*) # x86 with ELF/SysV format + echo '#define ELF_SYNTAX' >asm-syntax.h + echo '#include "'$srcdir'/x86/syntax.h"' >>asm-syntax.h + path="x86/pentium x86" ;; + +# Motorola 68k configurations. Let m68k mean 68020-68040. +# mc68000 or mc68060 configurations need to be specified explicitly + m680[234]0*-*-linuxaout* | m68k*-*-linuxaout*) + echo '#define MIT_SYNTAX' >asm-syntax.h + echo '#include "'$srcdir'/m68k/syntax.h"' >>asm-syntax.h + path="m68k/mc68020 m68k" ;; + m68060*-*-linuxaout*) + echo '#define MIT_SYNTAX' >asm-syntax.h + echo '#include "'$srcdir'/m68k/syntax.h"' >>asm-syntax.h + path="m68k" ;; + m680[234]0*-*-linux* | m68k*-*-linux*) + echo '#define ELF_SYNTAX' >asm-syntax.h + echo '#include "'$srcdir'/m68k/syntax.h"' >>asm-syntax.h + path="m68k/mc68020 m68k" ;; + m68060*-*-linux*) + echo '#define ELF_SYNTAX' >asm-syntax.h + echo '#include "'$srcdir'/m68k/syntax.h"' >>asm-syntax.h + path="m68k" ;; + m68000*-*-* | m68060*-*-*) + echo '#define MIT_SYNTAX' >asm-syntax.h + echo '#include "'$srcdir'/m68k/syntax.h"' >>asm-syntax.h + path="m68k/mc68000" ;; + m680[234]0*-*-* | m68k*-*-*) + echo '#define MIT_SYNTAX' >asm-syntax.h + echo '#include "'$srcdir'/m68k/syntax.h"' >>asm-syntax.h + path="m68k/mc68020 m68k" ;; + + i960*-*-*) path="i960" ;; + m88k*-*-* | m88k*-*-*) path="m88k" ;; + m88110*-*-*) path="m88k/mc88110 m88k" ;; + ns32k*-*-*) path="n32k" ;; + ppc601-*-*) path="power powerpc32" ;; + ppc620-*-* | powerpc64*-*-*) path="powerpc64" ;; + ppc60[234]*-*-* | powerpc*-*-*) path="powerpc32" ;; + pyramid-*-*) path="pyr" ;; + rs6000-*-* | power-*-* | power2-*-*) + path="power"; extra_functions="udiv_w_sdiv" ;; + sh-*-*) path="sh" ;; + sh2-*-*) path="sh/sh2 sh" ;; + mips[34]*-*-*) path="mips3" ;; + mips*-*-irix6*) path="mips3" ;; + mips*-*-*) path="mips2" ;; + vax*-*-*) path="vax"; extra_functions="udiv_w_sdiv" ;; + z8000x*-*-*) path="z8000x"; extra_functions="udiv_w_sdiv" ;; + z8000*-*-*) path="z8000"; extra_functions="udiv_w_sdiv" ;; + clipper*-*-*) path="clipper" ;; + *-*-*) ;; +esac + +case "${target}" in + *-*-linuxaout* | *-*-linuxoldld*) config=bsd.h ;; + *-sysv* | *-solaris* | *-*-linux*) config="sysv.h" ;; + *) config="bsd.h" ;; +esac + +case "${target}" in + i[3456]86*-*-*bsd* | i[3456]86*-*-linuxaout* | i[3456]86*-*-linuxoldld* | \ + pentium-*-*bsd* | pentium-*-linuxaout* | pentium-*-linuxoldld* | \ + pentiumpro-*-*bsd* | pentiumpro-*-linuxaout* | pentiumpro-*-linuxoldld*) + target_makefile_frag=config/t-oldgas ;; + rs6000-*-aix[456789]* | rs6000-*-aix3.2.[456789]) + target_makefile_frag=config/t-pwr-aix ;; + ppc601-*-aix[456789]* | ppc601-*-aix3.2.[456789] | \ + ppc60[234]*-*-aix[456789]* | ppc60[234]*-*-aix3.2.[456789] | \ + powerpc*-*-aix[456789]* | powerpc*-*-aix3.2.[456789]) + target_makefile_frag=config/t-ppc-aix ;; +esac + + +functions="${extra_functions} inlines add_n addmul_1 cmp divmod_1 \ + divrem divrem_1 dump lshift mod_1 mul mul_1 mul_n random2 rshift sqrtrem \ + sub_n submul_1 get_str set_str scan0 scan1 popcount hamdist gcd_1 \ + pre_mod_1 perfsqr bdivmod gcd gcdext" + +path="$path generic" +mpn_objects= + +for fn in $functions ; do + mpn_objects="$mpn_objects $fn.o" + for dir in $path ; do + rm -f $fn.[Ssc] + if test -f $srcdir/$dir/$fn.S ; then + files="$files $dir/$fn.S" + links="$links $fn.S" + break + elif test -f $srcdir/$dir/$fn.s ; then + files="$files $dir/$fn.s" + links="$links $fn.s" + break + elif test -f $srcdir/$dir/$fn.c ; then + files="$files $dir/$fn.c" + links="$links $fn.c" + break + fi + done +done + +for dir in $path ; do + rm -f gmp-mparam.h + if test -f $srcdir/$dir/gmp-mparam.h ; then + files="$files $dir/gmp-mparam.h" + links="$links gmp-mparam.h" + break + fi +done + +links="sysdep.h $links" +files="$config $files" + +mpn_links=$links + +# post-target: + +sed <Makefile >Makefile.tmp \ + -e "s/MPN_LINKS = .*/MPN_LINKS =${mpn_links}/" \ + -e "s/MPN_OBJECTS = .*/MPN_OBJECTS =${mpn_objects}/" + +mv Makefile.tmp Makefile diff --git a/contrib/libgmp/mpn/generic/add_n.c b/contrib/libgmp/mpn/generic/add_n.c new file mode 100644 index 0000000..9d71df1 --- /dev/null +++ b/contrib/libgmp/mpn/generic/add_n.c @@ -0,0 +1,62 @@ +/* mpn_add_n -- Add two limb vectors of equal, non-zero length. + +Copyright (C) 1992, 1993, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" + +mp_limb_t +#if __STDC__ +mpn_add_n (mp_ptr res_ptr, mp_srcptr s1_ptr, mp_srcptr s2_ptr, mp_size_t size) +#else +mpn_add_n (res_ptr, s1_ptr, s2_ptr, size) + register mp_ptr res_ptr; + register mp_srcptr s1_ptr; + register mp_srcptr s2_ptr; + mp_size_t size; +#endif +{ + register mp_limb_t x, y, cy; + register mp_size_t j; + + /* The loop counter and index J goes from -SIZE to -1. This way + the loop becomes faster. */ + j = -size; + + /* Offset the base pointers to compensate for the negative indices. */ + s1_ptr -= j; + s2_ptr -= j; + res_ptr -= j; + + cy = 0; + do + { + y = s2_ptr[j]; + x = s1_ptr[j]; + y += cy; /* add previous carry to one addend */ + cy = (y < cy); /* get out carry from that addition */ + y = x + y; /* add other addend */ + cy = (y < x) + cy; /* get out carry from that add, combine */ + res_ptr[j] = y; + } + while (++j != 0); + + return cy; +} diff --git a/contrib/libgmp/mpn/generic/addmul_1.c b/contrib/libgmp/mpn/generic/addmul_1.c new file mode 100644 index 0000000..3a5e214 --- /dev/null +++ b/contrib/libgmp/mpn/generic/addmul_1.c @@ -0,0 +1,65 @@ +/* mpn_addmul_1 -- multiply the S1_SIZE long limb vector pointed to by S1_PTR + by S2_LIMB, add the S1_SIZE least significant limbs of the product to the + limb vector pointed to by RES_PTR. Return the most significant limb of + the product, adjusted for carry-out from the addition. + +Copyright (C) 1992, 1993, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + +mp_limb_t +mpn_addmul_1 (res_ptr, s1_ptr, s1_size, s2_limb) + register mp_ptr res_ptr; + register mp_srcptr s1_ptr; + mp_size_t s1_size; + register mp_limb_t s2_limb; +{ + register mp_limb_t cy_limb; + register mp_size_t j; + register mp_limb_t prod_high, prod_low; + register mp_limb_t x; + + /* The loop counter and index J goes from -SIZE to -1. This way + the loop becomes faster. */ + j = -s1_size; + + /* Offset the base pointers to compensate for the negative indices. */ + res_ptr -= j; + s1_ptr -= j; + + cy_limb = 0; + do + { + umul_ppmm (prod_high, prod_low, s1_ptr[j], s2_limb); + + prod_low += cy_limb; + cy_limb = (prod_low < cy_limb) + prod_high; + + x = res_ptr[j]; + prod_low = x + prod_low; + cy_limb += (prod_low < x); + res_ptr[j] = prod_low; + } + while (++j != 0); + + return cy_limb; +} diff --git a/contrib/libgmp/mpn/generic/bdivmod.c b/contrib/libgmp/mpn/generic/bdivmod.c new file mode 100644 index 0000000..f095288 --- /dev/null +++ b/contrib/libgmp/mpn/generic/bdivmod.c @@ -0,0 +1,129 @@ +/* mpn/bdivmod.c: mpn_bdivmod for computing U/V mod 2^d. + +Copyright (C) 1991, 1993, 1994, 1995, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +/* q_high = mpn_bdivmod (qp, up, usize, vp, vsize, d). + + Puts the low d/BITS_PER_MP_LIMB limbs of Q = U / V mod 2^d at qp, and + returns the high d%BITS_PER_MP_LIMB bits of Q as the result. + + Also, U - Q * V mod 2^(usize*BITS_PER_MP_LIMB) is placed at up. Since the + low d/BITS_PER_MP_LIMB limbs of this difference are zero, the code allows + the limb vectors at qp to overwrite the low limbs at up, provided qp <= up. + + Preconditions: + 1. V is odd. + 2. usize * BITS_PER_MP_LIMB >= d. + 3. If Q and U overlap, qp <= up. + + Ken Weber (kweber@mat.ufrgs.br, kweber@mcs.kent.edu) + + Funding for this work has been partially provided by Conselho Nacional + de Desenvolvimento Cienti'fico e Tecnolo'gico (CNPq) do Brazil, Grant + 301314194-2, and was done while I was a visiting reseacher in the Instituto + de Matema'tica at Universidade Federal do Rio Grande do Sul (UFRGS). + + References: + T. Jebelean, An algorithm for exact division, Journal of Symbolic + Computation, v. 15, 1993, pp. 169-180. + + K. Weber, The accelerated integer GCD algorithm, ACM Transactions on + Mathematical Software, v. 21 (March), 1995, pp. 111-122. */ + +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + +mp_limb_t +#if __STDC__ +mpn_bdivmod (mp_ptr qp, mp_ptr up, mp_size_t usize, + mp_srcptr vp, mp_size_t vsize, unsigned long int d) +#else +mpn_bdivmod (qp, up, usize, vp, vsize, d) + mp_ptr qp; + mp_ptr up; + mp_size_t usize; + mp_srcptr vp; + mp_size_t vsize; + unsigned long int d; +#endif +{ + /* Cache for v_inv is used to make mpn_accelgcd faster. */ + static mp_limb_t previous_low_vlimb = 0; + static mp_limb_t v_inv; /* 1/V mod 2^BITS_PER_MP_LIMB. */ + + if (vp[0] != previous_low_vlimb) /* Cache miss; compute v_inv. */ + { + mp_limb_t v = previous_low_vlimb = vp[0]; + mp_limb_t make_zero = 1; + mp_limb_t two_i = 1; + v_inv = 0; + do + { + while ((two_i & make_zero) == 0) + two_i <<= 1, v <<= 1; + v_inv += two_i; + make_zero -= v; + } + while (make_zero); + } + + /* Need faster computation for some common cases in mpn_accelgcd. */ + if (usize == 2 && vsize == 2 && + (d == BITS_PER_MP_LIMB || d == 2*BITS_PER_MP_LIMB)) + { + mp_limb_t hi, lo; + mp_limb_t q = up[0] * v_inv; + umul_ppmm (hi, lo, q, vp[0]); + up[0] = 0, up[1] -= hi + q*vp[1], qp[0] = q; + if (d == 2*BITS_PER_MP_LIMB) + q = up[1] * v_inv, up[1] = 0, qp[1] = q; + return 0; + } + + /* Main loop. */ + while (d >= BITS_PER_MP_LIMB) + { + mp_limb_t q = up[0] * v_inv; + mp_limb_t b = mpn_submul_1 (up, vp, MIN (usize, vsize), q); + if (usize > vsize) + mpn_sub_1 (up + vsize, up + vsize, usize - vsize, b); + d -= BITS_PER_MP_LIMB; + up += 1, usize -= 1; + *qp++ = q; + } + + if (d) + { + mp_limb_t b; + mp_limb_t q = (up[0] * v_inv) & (((mp_limb_t)1<<d) - 1); + switch (q) + { + case 0: return 0; + case 1: b = mpn_sub_n (up, up, vp, MIN (usize, vsize)); break; + default: b = mpn_submul_1 (up, vp, MIN (usize, vsize), q); break; + } + if (usize > vsize) + mpn_sub_1 (up + vsize, up + vsize, usize - vsize, b); + return q; + } + + return 0; +} diff --git a/contrib/libgmp/mpn/generic/cmp.c b/contrib/libgmp/mpn/generic/cmp.c new file mode 100644 index 0000000..4e9c60d --- /dev/null +++ b/contrib/libgmp/mpn/generic/cmp.c @@ -0,0 +1,56 @@ +/* mpn_cmp -- Compare two low-level natural-number integers. + +Copyright (C) 1991, 1993, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" + +/* Compare OP1_PTR/OP1_SIZE with OP2_PTR/OP2_SIZE. + There are no restrictions on the relative sizes of + the two arguments. + Return 1 if OP1 > OP2, 0 if they are equal, and -1 if OP1 < OP2. */ + +int +#if __STDC__ +mpn_cmp (mp_srcptr op1_ptr, mp_srcptr op2_ptr, mp_size_t size) +#else +mpn_cmp (op1_ptr, op2_ptr, size) + mp_srcptr op1_ptr; + mp_srcptr op2_ptr; + mp_size_t size; +#endif +{ + mp_size_t i; + mp_limb_t op1_word, op2_word; + + for (i = size - 1; i >= 0; i--) + { + op1_word = op1_ptr[i]; + op2_word = op2_ptr[i]; + if (op1_word != op2_word) + goto diff; + } + return 0; + diff: + /* This can *not* be simplified to + op2_word - op2_word + since that expression might give signed overflow. */ + return (op1_word > op2_word) ? 1 : -1; +} diff --git a/contrib/libgmp/mpn/generic/divmod_1.c b/contrib/libgmp/mpn/generic/divmod_1.c new file mode 100644 index 0000000..f93841f --- /dev/null +++ b/contrib/libgmp/mpn/generic/divmod_1.c @@ -0,0 +1,208 @@ +/* mpn_divmod_1(quot_ptr, dividend_ptr, dividend_size, divisor_limb) -- + Divide (DIVIDEND_PTR,,DIVIDEND_SIZE) by DIVISOR_LIMB. + Write DIVIDEND_SIZE limbs of quotient at QUOT_PTR. + Return the single-limb remainder. + There are no constraints on the value of the divisor. + + QUOT_PTR and DIVIDEND_PTR might point to the same limb. + +Copyright (C) 1991, 1993, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + +#ifndef UMUL_TIME +#define UMUL_TIME 1 +#endif + +#ifndef UDIV_TIME +#define UDIV_TIME UMUL_TIME +#endif + +/* FIXME: We should be using invert_limb (or invert_normalized_limb) + here (not udiv_qrnnd). */ + +mp_limb_t +#if __STDC__ +mpn_divmod_1 (mp_ptr quot_ptr, + mp_srcptr dividend_ptr, mp_size_t dividend_size, + mp_limb_t divisor_limb) +#else +mpn_divmod_1 (quot_ptr, dividend_ptr, dividend_size, divisor_limb) + mp_ptr quot_ptr; + mp_srcptr dividend_ptr; + mp_size_t dividend_size; + mp_limb_t divisor_limb; +#endif +{ + mp_size_t i; + mp_limb_t n1, n0, r; + int dummy; + + /* ??? Should this be handled at all? Rely on callers? */ + if (dividend_size == 0) + return 0; + + /* If multiplication is much faster than division, and the + dividend is large, pre-invert the divisor, and use + only multiplications in the inner loop. */ + + /* This test should be read: + Does it ever help to use udiv_qrnnd_preinv? + && Does what we save compensate for the inversion overhead? */ + if (UDIV_TIME > (2 * UMUL_TIME + 6) + && (UDIV_TIME - (2 * UMUL_TIME + 6)) * dividend_size > UDIV_TIME) + { + int normalization_steps; + + count_leading_zeros (normalization_steps, divisor_limb); + if (normalization_steps != 0) + { + mp_limb_t divisor_limb_inverted; + + divisor_limb <<= normalization_steps; + + /* Compute (2**2N - 2**N * DIVISOR_LIMB) / DIVISOR_LIMB. The + result is a (N+1)-bit approximation to 1/DIVISOR_LIMB, with the + most significant bit (with weight 2**N) implicit. */ + + /* Special case for DIVISOR_LIMB == 100...000. */ + if (divisor_limb << 1 == 0) + divisor_limb_inverted = ~(mp_limb_t) 0; + else + udiv_qrnnd (divisor_limb_inverted, dummy, + -divisor_limb, 0, divisor_limb); + + n1 = dividend_ptr[dividend_size - 1]; + r = n1 >> (BITS_PER_MP_LIMB - normalization_steps); + + /* Possible optimization: + if (r == 0 + && divisor_limb > ((n1 << normalization_steps) + | (dividend_ptr[dividend_size - 2] >> ...))) + ...one division less... */ + + for (i = dividend_size - 2; i >= 0; i--) + { + n0 = dividend_ptr[i]; + udiv_qrnnd_preinv (quot_ptr[i + 1], r, r, + ((n1 << normalization_steps) + | (n0 >> (BITS_PER_MP_LIMB - normalization_steps))), + divisor_limb, divisor_limb_inverted); + n1 = n0; + } + udiv_qrnnd_preinv (quot_ptr[0], r, r, + n1 << normalization_steps, + divisor_limb, divisor_limb_inverted); + return r >> normalization_steps; + } + else + { + mp_limb_t divisor_limb_inverted; + + /* Compute (2**2N - 2**N * DIVISOR_LIMB) / DIVISOR_LIMB. The + result is a (N+1)-bit approximation to 1/DIVISOR_LIMB, with the + most significant bit (with weight 2**N) implicit. */ + + /* Special case for DIVISOR_LIMB == 100...000. */ + if (divisor_limb << 1 == 0) + divisor_limb_inverted = ~(mp_limb_t) 0; + else + udiv_qrnnd (divisor_limb_inverted, dummy, + -divisor_limb, 0, divisor_limb); + + i = dividend_size - 1; + r = dividend_ptr[i]; + + if (r >= divisor_limb) + r = 0; + else + { + quot_ptr[i] = 0; + i--; + } + + for (; i >= 0; i--) + { + n0 = dividend_ptr[i]; + udiv_qrnnd_preinv (quot_ptr[i], r, r, + n0, divisor_limb, divisor_limb_inverted); + } + return r; + } + } + else + { + if (UDIV_NEEDS_NORMALIZATION) + { + int normalization_steps; + + count_leading_zeros (normalization_steps, divisor_limb); + if (normalization_steps != 0) + { + divisor_limb <<= normalization_steps; + + n1 = dividend_ptr[dividend_size - 1]; + r = n1 >> (BITS_PER_MP_LIMB - normalization_steps); + + /* Possible optimization: + if (r == 0 + && divisor_limb > ((n1 << normalization_steps) + | (dividend_ptr[dividend_size - 2] >> ...))) + ...one division less... */ + + for (i = dividend_size - 2; i >= 0; i--) + { + n0 = dividend_ptr[i]; + udiv_qrnnd (quot_ptr[i + 1], r, r, + ((n1 << normalization_steps) + | (n0 >> (BITS_PER_MP_LIMB - normalization_steps))), + divisor_limb); + n1 = n0; + } + udiv_qrnnd (quot_ptr[0], r, r, + n1 << normalization_steps, + divisor_limb); + return r >> normalization_steps; + } + } + /* No normalization needed, either because udiv_qrnnd doesn't require + it, or because DIVISOR_LIMB is already normalized. */ + + i = dividend_size - 1; + r = dividend_ptr[i]; + + if (r >= divisor_limb) + r = 0; + else + { + quot_ptr[i] = 0; + i--; + } + + for (; i >= 0; i--) + { + n0 = dividend_ptr[i]; + udiv_qrnnd (quot_ptr[i], r, r, n0, divisor_limb); + } + return r; + } +} diff --git a/contrib/libgmp/mpn/generic/divrem.c b/contrib/libgmp/mpn/generic/divrem.c new file mode 100644 index 0000000..1fe865a --- /dev/null +++ b/contrib/libgmp/mpn/generic/divrem.c @@ -0,0 +1,245 @@ +/* mpn_divrem -- Divide natural numbers, producing both remainder and + quotient. + +Copyright (C) 1993, 1994, 1995, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + +/* Divide num (NP/NSIZE) by den (DP/DSIZE) and write + the NSIZE-DSIZE least significant quotient limbs at QP + and the DSIZE long remainder at NP. If QEXTRA_LIMBS is + non-zero, generate that many fraction bits and append them after the + other quotient limbs. + Return the most significant limb of the quotient, this is always 0 or 1. + + Preconditions: + 0. NSIZE >= DSIZE. + 1. The most significant bit of the divisor must be set. + 2. QP must either not overlap with the input operands at all, or + QP + DSIZE >= NP must hold true. (This means that it's + possible to put the quotient in the high part of NUM, right after the + remainder in NUM. + 3. NSIZE >= DSIZE, even if QEXTRA_LIMBS is non-zero. */ + +mp_limb_t +#if __STDC__ +mpn_divrem (mp_ptr qp, mp_size_t qextra_limbs, + mp_ptr np, mp_size_t nsize, + mp_srcptr dp, mp_size_t dsize) +#else +mpn_divrem (qp, qextra_limbs, np, nsize, dp, dsize) + mp_ptr qp; + mp_size_t qextra_limbs; + mp_ptr np; + mp_size_t nsize; + mp_srcptr dp; + mp_size_t dsize; +#endif +{ + mp_limb_t most_significant_q_limb = 0; + + switch (dsize) + { + case 0: + /* We are asked to divide by zero, so go ahead and do it! (To make + the compiler not remove this statement, return the value.) */ + return 1 / dsize; + + case 1: + { + mp_size_t i; + mp_limb_t n1; + mp_limb_t d; + + d = dp[0]; + n1 = np[nsize - 1]; + + if (n1 >= d) + { + n1 -= d; + most_significant_q_limb = 1; + } + + qp += qextra_limbs; + for (i = nsize - 2; i >= 0; i--) + udiv_qrnnd (qp[i], n1, n1, np[i], d); + qp -= qextra_limbs; + + for (i = qextra_limbs - 1; i >= 0; i--) + udiv_qrnnd (qp[i], n1, n1, 0, d); + + np[0] = n1; + } + break; + + case 2: + { + mp_size_t i; + mp_limb_t n1, n0, n2; + mp_limb_t d1, d0; + + np += nsize - 2; + d1 = dp[1]; + d0 = dp[0]; + n1 = np[1]; + n0 = np[0]; + + if (n1 >= d1 && (n1 > d1 || n0 >= d0)) + { + sub_ddmmss (n1, n0, n1, n0, d1, d0); + most_significant_q_limb = 1; + } + + for (i = qextra_limbs + nsize - 2 - 1; i >= 0; i--) + { + mp_limb_t q; + mp_limb_t r; + + if (i >= qextra_limbs) + np--; + else + np[0] = 0; + + if (n1 == d1) + { + /* Q should be either 111..111 or 111..110. Need special + treatment of this rare case as normal division would + give overflow. */ + q = ~(mp_limb_t) 0; + + r = n0 + d1; + if (r < d1) /* Carry in the addition? */ + { + add_ssaaaa (n1, n0, r - d0, np[0], 0, d0); + qp[i] = q; + continue; + } + n1 = d0 - (d0 != 0); + n0 = -d0; + } + else + { + udiv_qrnnd (q, r, n1, n0, d1); + umul_ppmm (n1, n0, d0, q); + } + + n2 = np[0]; + q_test: + if (n1 > r || (n1 == r && n0 > n2)) + { + /* The estimated Q was too large. */ + q--; + + sub_ddmmss (n1, n0, n1, n0, 0, d0); + r += d1; + if (r >= d1) /* If not carry, test Q again. */ + goto q_test; + } + + qp[i] = q; + sub_ddmmss (n1, n0, r, n2, n1, n0); + } + np[1] = n1; + np[0] = n0; + } + break; + + default: + { + mp_size_t i; + mp_limb_t dX, d1, n0; + + np += nsize - dsize; + dX = dp[dsize - 1]; + d1 = dp[dsize - 2]; + n0 = np[dsize - 1]; + + if (n0 >= dX) + { + if (n0 > dX || mpn_cmp (np, dp, dsize - 1) >= 0) + { + mpn_sub_n (np, np, dp, dsize); + n0 = np[dsize - 1]; + most_significant_q_limb = 1; + } + } + + for (i = qextra_limbs + nsize - dsize - 1; i >= 0; i--) + { + mp_limb_t q; + mp_limb_t n1, n2; + mp_limb_t cy_limb; + + if (i >= qextra_limbs) + { + np--; + n2 = np[dsize]; + } + else + { + n2 = np[dsize - 1]; + MPN_COPY_DECR (np + 1, np, dsize); + np[0] = 0; + } + + if (n0 == dX) + /* This might over-estimate q, but it's probably not worth + the extra code here to find out. */ + q = ~(mp_limb_t) 0; + else + { + mp_limb_t r; + + udiv_qrnnd (q, r, n0, np[dsize - 1], dX); + umul_ppmm (n1, n0, d1, q); + + while (n1 > r || (n1 == r && n0 > np[dsize - 2])) + { + q--; + r += dX; + if (r < dX) /* I.e. "carry in previous addition?" */ + break; + n1 -= n0 < d1; + n0 -= d1; + } + } + + /* Possible optimization: We already have (q * n0) and (1 * n1) + after the calculation of q. Taking advantage of that, we + could make this loop make two iterations less. */ + + cy_limb = mpn_submul_1 (np, dp, dsize, q); + + if (n2 != cy_limb) + { + mpn_add_n (np, np, dp, dsize); + q--; + } + + qp[i] = q; + n0 = np[dsize - 1]; + } + } + } + + return most_significant_q_limb; +} diff --git a/contrib/libgmp/mpn/generic/divrem_1.c b/contrib/libgmp/mpn/generic/divrem_1.c new file mode 100644 index 0000000..d213267 --- /dev/null +++ b/contrib/libgmp/mpn/generic/divrem_1.c @@ -0,0 +1,58 @@ +/* mpn_divrem_1(quot_ptr, qsize, dividend_ptr, dividend_size, divisor_limb) -- + Divide (DIVIDEND_PTR,,DIVIDEND_SIZE) by DIVISOR_LIMB. + Write DIVIDEND_SIZE limbs of quotient at QUOT_PTR. + Return the single-limb remainder. + There are no constraints on the value of the divisor. + + QUOT_PTR and DIVIDEND_PTR might point to the same limb. + +Copyright (C) 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + +mp_limb_t +#if __STDC__ +mpn_divrem_1 (mp_ptr qp, mp_size_t qsize, + mp_srcptr dividend_ptr, mp_size_t dividend_size, + mp_limb_t divisor_limb) +#else +mpn_divrem_1 (qp, qsize, dividend_ptr, dividend_size, divisor_limb) + mp_ptr qp; + mp_size_t qsize; + mp_srcptr dividend_ptr; + mp_size_t dividend_size; + mp_limb_t divisor_limb; +#endif +{ + mp_limb_t rlimb; + long i; + + /* Develop integer part of quotient. */ + rlimb = mpn_divmod_1 (qp + qsize, dividend_ptr, dividend_size, divisor_limb); + + if (qsize != 0) + { + for (i = qsize - 1; i >= 0; i--) + udiv_qrnnd (qp[i], rlimb, rlimb, 0, divisor_limb); + } + return rlimb; +} diff --git a/contrib/libgmp/mpn/generic/dump.c b/contrib/libgmp/mpn/generic/dump.c new file mode 100644 index 0000000..a5831c4 --- /dev/null +++ b/contrib/libgmp/mpn/generic/dump.c @@ -0,0 +1,20 @@ +#include <stdio.h> +#include "gmp.h" +#include "gmp-impl.h" + +void +mpn_dump (ptr, size) + mp_srcptr ptr; + mp_size_t size; +{ + if (size == 0) + printf ("0\n"); + { + while (size) + { + size--; + printf ("%0*lX", (int) (2 * BYTES_PER_MP_LIMB), ptr[size]); + } + printf ("\n"); + } +} diff --git a/contrib/libgmp/mpn/generic/gcd.c b/contrib/libgmp/mpn/generic/gcd.c new file mode 100644 index 0000000..8c2bbf0 --- /dev/null +++ b/contrib/libgmp/mpn/generic/gcd.c @@ -0,0 +1,402 @@ +/* mpn/gcd.c: mpn_gcd for gcd of two odd integers. + +Copyright (C) 1991, 1993, 1994, 1995, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +/* Integer greatest common divisor of two unsigned integers, using + the accelerated algorithm (see reference below). + + mp_size_t mpn_gcd (vp, vsize, up, usize). + + Preconditions [U = (up, usize) and V = (vp, vsize)]: + + 1. V is odd. + 2. numbits(U) >= numbits(V). + + Both U and V are destroyed by the operation. The result is left at vp, + and its size is returned. + + Ken Weber (kweber@mat.ufrgs.br, kweber@mcs.kent.edu) + + Funding for this work has been partially provided by Conselho Nacional + de Desenvolvimento Cienti'fico e Tecnolo'gico (CNPq) do Brazil, Grant + 301314194-2, and was done while I was a visiting reseacher in the Instituto + de Matema'tica at Universidade Federal do Rio Grande do Sul (UFRGS). + + Refer to + K. Weber, The accelerated integer GCD algorithm, ACM Transactions on + Mathematical Software, v. 21 (March), 1995, pp. 111-122. */ + +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + +/* If MIN (usize, vsize) > ACCEL_THRESHOLD, then the accelerated algorithm is + used, otherwise the binary algorithm is used. This may be adjusted for + different architectures. */ +#ifndef ACCEL_THRESHOLD +#define ACCEL_THRESHOLD 4 +#endif + +/* When U and V differ in size by more than BMOD_THRESHOLD, the accelerated + algorithm reduces using the bmod operation. Otherwise, the k-ary reduction + is used. 0 <= BMOD_THRESHOLD < BITS_PER_MP_LIMB. */ +enum + { + BMOD_THRESHOLD = BITS_PER_MP_LIMB/2 + }; + +#define SIGN_BIT (~(~(mp_limb_t)0 >> 1)) + + +#define SWAP_LIMB(UL, VL) do{mp_limb_t __l=(UL);(UL)=(VL);(VL)=__l;}while(0) +#define SWAP_PTR(UP, VP) do{mp_ptr __p=(UP);(UP)=(VP);(VP)=__p;}while(0) +#define SWAP_SZ(US, VS) do{mp_size_t __s=(US);(US)=(VS);(VS)=__s;}while(0) +#define SWAP_MPN(UP, US, VP, VS) do{SWAP_PTR(UP,VP);SWAP_SZ(US,VS);}while(0) + +/* Use binary algorithm to compute V <-- GCD (V, U) for usize, vsize == 2. + Both U and V must be odd. */ +static __gmp_inline mp_size_t +#if __STDC__ +gcd_2 (mp_ptr vp, mp_srcptr up) +#else +gcd_2 (vp, up) + mp_ptr vp; + mp_srcptr up; +#endif +{ + mp_limb_t u0, u1, v0, v1; + mp_size_t vsize; + + u0 = up[0], u1 = up[1], v0 = vp[0], v1 = vp[1]; + + while (u1 != v1 && u0 != v0) + { + unsigned long int r; + if (u1 > v1) + { + u1 -= v1 + (u0 < v0), u0 -= v0; + count_trailing_zeros (r, u0); + u0 = u1 << (BITS_PER_MP_LIMB - r) | u0 >> r; + u1 >>= r; + } + else /* u1 < v1. */ + { + v1 -= u1 + (v0 < u0), v0 -= u0; + count_trailing_zeros (r, v0); + v0 = v1 << (BITS_PER_MP_LIMB - r) | v0 >> r; + v1 >>= r; + } + } + + vp[0] = v0, vp[1] = v1, vsize = 1 + (v1 != 0); + + /* If U == V == GCD, done. Otherwise, compute GCD (V, |U - V|). */ + if (u1 == v1 && u0 == v0) + return vsize; + + v0 = (u0 == v0) ? (u1 > v1) ? u1-v1 : v1-u1 : (u0 > v0) ? u0-v0 : v0-u0; + vp[0] = mpn_gcd_1 (vp, vsize, v0); + + return 1; +} + +/* The function find_a finds 0 < N < 2^BITS_PER_MP_LIMB such that there exists + 0 < |D| < 2^BITS_PER_MP_LIMB, and N == D * C mod 2^(2*BITS_PER_MP_LIMB). + In the reference article, D was computed along with N, but it is better to + compute D separately as D <-- N / C mod 2^(BITS_PER_MP_LIMB + 1), treating + the result as a twos' complement signed integer. + + Initialize N1 to C mod 2^(2*BITS_PER_MP_LIMB). According to the reference + article, N2 should be initialized to 2^(2*BITS_PER_MP_LIMB), but we use + 2^(2*BITS_PER_MP_LIMB) - N1 to start the calculations within double + precision. If N2 > N1 initially, the first iteration of the while loop + will swap them. In all other situations, N1 >= N2 is maintained. */ + +static __gmp_inline mp_limb_t +#if __STDC__ +find_a (mp_srcptr cp) +#else +find_a (cp) + mp_srcptr cp; +#endif +{ + unsigned long int leading_zero_bits = 0; + + mp_limb_t n1_l = cp[0]; /* N1 == n1_h * 2^BITS_PER_MP_LIMB + n1_l. */ + mp_limb_t n1_h = cp[1]; + + mp_limb_t n2_l = -n1_l; /* N2 == n2_h * 2^BITS_PER_MP_LIMB + n2_l. */ + mp_limb_t n2_h = ~n1_h; + + /* Main loop. */ + while (n2_h) /* While N2 >= 2^BITS_PER_MP_LIMB. */ + { + /* N1 <-- N1 % N2. */ + if ((SIGN_BIT >> leading_zero_bits & n2_h) == 0) + { + unsigned long int i; + count_leading_zeros (i, n2_h); + i -= leading_zero_bits, leading_zero_bits += i; + n2_h = n2_h<<i | n2_l>>(BITS_PER_MP_LIMB - i), n2_l <<= i; + do + { + if (n1_h > n2_h || (n1_h == n2_h && n1_l >= n2_l)) + n1_h -= n2_h + (n1_l < n2_l), n1_l -= n2_l; + n2_l = n2_l>>1 | n2_h<<(BITS_PER_MP_LIMB - 1), n2_h >>= 1; + i -= 1; + } + while (i); + } + if (n1_h > n2_h || (n1_h == n2_h && n1_l >= n2_l)) + n1_h -= n2_h + (n1_l < n2_l), n1_l -= n2_l; + + SWAP_LIMB (n1_h, n2_h); + SWAP_LIMB (n1_l, n2_l); + } + + return n2_l; +} + +mp_size_t +#if __STDC__ +mpn_gcd (mp_ptr gp, mp_ptr vp, mp_size_t vsize, mp_ptr up, mp_size_t usize) +#else +mpn_gcd (gp, vp, vsize, up, usize) + mp_ptr gp; + mp_ptr vp; + mp_size_t vsize; + mp_ptr up; + mp_size_t usize; +#endif +{ + mp_ptr orig_vp = vp; + mp_size_t orig_vsize = vsize; + int binary_gcd_ctr; /* Number of times binary gcd will execute. */ + TMP_DECL (marker); + + TMP_MARK (marker); + + /* Use accelerated algorithm if vsize is over ACCEL_THRESHOLD. + Two EXTRA limbs for U and V are required for kary reduction. */ + if (vsize > ACCEL_THRESHOLD) + { + unsigned long int vbitsize, d; + mp_ptr orig_up = up; + mp_size_t orig_usize = usize; + mp_ptr anchor_up = (mp_ptr) TMP_ALLOC ((usize + 2) * BYTES_PER_MP_LIMB); + + MPN_COPY (anchor_up, orig_up, usize); + up = anchor_up; + + count_leading_zeros (d, up[usize-1]); + d = usize * BITS_PER_MP_LIMB - d; + count_leading_zeros (vbitsize, vp[vsize-1]); + vbitsize = vsize * BITS_PER_MP_LIMB - vbitsize; + d = d - vbitsize + 1; + + /* Use bmod reduction to quickly discover whether V divides U. */ + up[usize++] = 0; /* Insert leading zero. */ + mpn_bdivmod (up, up, usize, vp, vsize, d); + + /* Now skip U/V mod 2^d and any low zero limbs. */ + d /= BITS_PER_MP_LIMB, up += d, usize -= d; + while (usize != 0 && up[0] == 0) + up++, usize--; + + if (usize == 0) /* GCD == ORIG_V. */ + goto done; + + vp = (mp_ptr) TMP_ALLOC ((vsize + 2) * BYTES_PER_MP_LIMB); + MPN_COPY (vp, orig_vp, vsize); + + do /* Main loop. */ + { + if (up[usize-1] & SIGN_BIT) /* U < 0; take twos' compl. */ + { + mp_size_t i; + anchor_up[0] = -up[0]; + for (i = 1; i < usize; i++) + anchor_up[i] = ~up[i]; + up = anchor_up; + } + + MPN_NORMALIZE_NOT_ZERO (up, usize); + + if ((up[0] & 1) == 0) /* Result even; remove twos. */ + { + unsigned long int r; + count_trailing_zeros (r, up[0]); + mpn_rshift (anchor_up, up, usize, r); + usize -= (anchor_up[usize-1] == 0); + } + else if (anchor_up != up) + MPN_COPY (anchor_up, up, usize); + + SWAP_MPN (anchor_up, usize, vp, vsize); + up = anchor_up; + + if (vsize <= 2) /* Kary can't handle < 2 limbs and */ + break; /* isn't efficient for == 2 limbs. */ + + d = vbitsize; + count_leading_zeros (vbitsize, vp[vsize-1]); + vbitsize = vsize * BITS_PER_MP_LIMB - vbitsize; + d = d - vbitsize + 1; + + if (d > BMOD_THRESHOLD) /* Bmod reduction. */ + { + up[usize++] = 0; + mpn_bdivmod (up, up, usize, vp, vsize, d); + d /= BITS_PER_MP_LIMB, up += d, usize -= d; + } + else /* Kary reduction. */ + { + mp_limb_t bp[2], cp[2]; + + /* C <-- V/U mod 2^(2*BITS_PER_MP_LIMB). */ + cp[0] = vp[0], cp[1] = vp[1]; + mpn_bdivmod (cp, cp, 2, up, 2, 2*BITS_PER_MP_LIMB); + + /* U <-- find_a (C) * U. */ + up[usize] = mpn_mul_1 (up, up, usize, find_a (cp)); + usize++; + + /* B <-- A/C == U/V mod 2^(BITS_PER_MP_LIMB + 1). + bp[0] <-- U/V mod 2^BITS_PER_MP_LIMB and + bp[1] <-- ( (U - bp[0] * V)/2^BITS_PER_MP_LIMB ) / V mod 2 */ + bp[0] = up[0], bp[1] = up[1]; + mpn_bdivmod (bp, bp, 2, vp, 2, BITS_PER_MP_LIMB); + bp[1] &= 1; /* Since V is odd, division is unnecessary. */ + + up[usize++] = 0; + if (bp[1]) /* B < 0: U <-- U + (-B) * V. */ + { + mp_limb_t c = mpn_addmul_1 (up, vp, vsize, -bp[0]); + mpn_add_1 (up + vsize, up + vsize, usize - vsize, c); + } + else /* B >= 0: U <-- U - B * V. */ + { + mp_limb_t b = mpn_submul_1 (up, vp, vsize, bp[0]); + mpn_sub_1 (up + vsize, up + vsize, usize - vsize, b); + } + + up += 2, usize -= 2; /* At least two low limbs are zero. */ + } + + /* Must remove low zero limbs before complementing. */ + while (usize != 0 && up[0] == 0) + up++, usize--; + } + while (usize); + + /* Compute GCD (ORIG_V, GCD (ORIG_U, V)). Binary will execute twice. */ + up = orig_up, usize = orig_usize; + binary_gcd_ctr = 2; + } + else + binary_gcd_ctr = 1; + + /* Finish up with the binary algorithm. Executes once or twice. */ + for ( ; binary_gcd_ctr--; up = orig_vp, usize = orig_vsize) + { + if (usize > 2) /* First make U close to V in size. */ + { + unsigned long int vbitsize, d; + count_leading_zeros (d, up[usize-1]); + d = usize * BITS_PER_MP_LIMB - d; + count_leading_zeros (vbitsize, vp[vsize-1]); + vbitsize = vsize * BITS_PER_MP_LIMB - vbitsize; + d = d - vbitsize - 1; + if (d != -(unsigned long int)1 && d > 2) + { + mpn_bdivmod (up, up, usize, vp, vsize, d); /* Result > 0. */ + d /= (unsigned long int)BITS_PER_MP_LIMB, up += d, usize -= d; + } + } + + /* Start binary GCD. */ + do + { + mp_size_t zeros; + + /* Make sure U is odd. */ + MPN_NORMALIZE (up, usize); + while (up[0] == 0) + up += 1, usize -= 1; + if ((up[0] & 1) == 0) + { + unsigned long int r; + count_trailing_zeros (r, up[0]); + mpn_rshift (up, up, usize, r); + usize -= (up[usize-1] == 0); + } + + /* Keep usize >= vsize. */ + if (usize < vsize) + SWAP_MPN (up, usize, vp, vsize); + + if (usize <= 2) /* Double precision. */ + { + if (vsize == 1) + vp[0] = mpn_gcd_1 (up, usize, vp[0]); + else + vsize = gcd_2 (vp, up); + break; /* Binary GCD done. */ + } + + /* Count number of low zero limbs of U - V. */ + for (zeros = 0; up[zeros] == vp[zeros] && ++zeros != vsize; ) + continue; + + /* If U < V, swap U and V; in any case, subtract V from U. */ + if (zeros == vsize) /* Subtract done. */ + up += zeros, usize -= zeros; + else if (usize == vsize) + { + mp_size_t size = vsize; + do + size--; + while (up[size] == vp[size]); + if (up[size] < vp[size]) /* usize == vsize. */ + SWAP_PTR (up, vp); + up += zeros, usize = size + 1 - zeros; + mpn_sub_n (up, up, vp + zeros, usize); + } + else + { + mp_size_t size = vsize - zeros; + up += zeros, usize -= zeros; + if (mpn_sub_n (up, up, vp + zeros, size)) + { + while (up[size] == 0) /* Propagate borrow. */ + up[size++] = -(mp_limb_t)1; + up[size] -= 1; + } + } + } + while (usize); /* End binary GCD. */ + } + +done: + if (vp != gp) + MPN_COPY (gp, vp, vsize); + TMP_FREE (marker); + return vsize; +} diff --git a/contrib/libgmp/mpn/generic/gcd_1.c b/contrib/libgmp/mpn/generic/gcd_1.c new file mode 100644 index 0000000..ebcdfb5 --- /dev/null +++ b/contrib/libgmp/mpn/generic/gcd_1.c @@ -0,0 +1,73 @@ +/* mpn_gcd_1 -- + +Copyright (C) 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + +/* Does not work for U == 0 or V == 0. It would be tough to make it work for + V == 0 since gcd(x,0) = x, and U does not generally fit in an mp_limb_t. */ + +mp_limb_t +mpn_gcd_1 (up, size, vlimb) + mp_srcptr up; + mp_size_t size; + mp_limb_t vlimb; +{ + mp_limb_t ulimb; + unsigned long int u_low_zero_bits, v_low_zero_bits; + + if (size > 1) + { + ulimb = mpn_mod_1 (up, size, vlimb); + if (ulimb == 0) + return vlimb; + } + else + ulimb = up[0]; + + /* Need to eliminate low zero bits. */ + count_trailing_zeros (u_low_zero_bits, ulimb); + ulimb >>= u_low_zero_bits; + + count_trailing_zeros (v_low_zero_bits, vlimb); + vlimb >>= v_low_zero_bits; + + while (ulimb != vlimb) + { + if (ulimb > vlimb) + { + ulimb -= vlimb; + do + ulimb >>= 1; + while ((ulimb & 1) == 0); + } + else /* vlimb > ulimb. */ + { + vlimb -= ulimb; + do + vlimb >>= 1; + while ((vlimb & 1) == 0); + } + } + + return ulimb << MIN (u_low_zero_bits, v_low_zero_bits); +} diff --git a/contrib/libgmp/mpn/generic/gcdext.c b/contrib/libgmp/mpn/generic/gcdext.c new file mode 100644 index 0000000..245e20a --- /dev/null +++ b/contrib/libgmp/mpn/generic/gcdext.c @@ -0,0 +1,441 @@ +/* mpn_gcdext -- Extended Greatest Common Divisor. + +Copyright (C) 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + +#ifndef EXTEND +#define EXTEND 1 +#endif + +#if STAT +int arr[BITS_PER_MP_LIMB]; +#endif + +#define SGN(A) (((A) < 0) ? -1 : ((A) > 0)) + +/* Idea 1: After we have performed a full division, don't shift operands back, + but instead account for the extra factors-of-2 thus introduced. + Idea 2: Simple generalization to use divide-and-conquer would give us an + algorithm that runs faster than O(n^2). + Idea 3: The input numbers need less space as the computation progresses, + while the s0 and s1 variables need more space. To save space, we + could make them share space, and have the latter variables grow + into the former. */ + +/* Precondition: U >= V. */ + +mp_size_t +#if EXTEND +#if __STDC__ +mpn_gcdext (mp_ptr gp, mp_ptr s0p, + mp_ptr up, mp_size_t size, mp_ptr vp, mp_size_t vsize) +#else +mpn_gcdext (gp, s0p, up, size, vp, vsize) + mp_ptr gp; + mp_ptr s0p; + mp_ptr up; + mp_size_t size; + mp_ptr vp; + mp_size_t vsize; +#endif +#else +#if __STDC__ +mpn_gcd (mp_ptr gp, + mp_ptr up, mp_size_t size, mp_ptr vp, mp_size_t vsize) +#else +mpn_gcd (gp, up, size, vp, vsize) + mp_ptr gp; + mp_ptr up; + mp_size_t size; + mp_ptr vp; + mp_size_t vsize; +#endif +#endif +{ + mp_limb_t uh, vh; + mp_limb_signed_t A, B, C, D; + int cnt; + mp_ptr tp, wp; +#if RECORD + mp_limb_signed_t min = 0, max = 0; +#endif +#if EXTEND + mp_ptr s1p; + mp_ptr orig_s0p = s0p; + mp_size_t ssize, orig_size = size; + TMP_DECL (mark); + + TMP_MARK (mark); + + tp = (mp_ptr) TMP_ALLOC ((size + 1) * BYTES_PER_MP_LIMB); + wp = (mp_ptr) TMP_ALLOC ((size + 1) * BYTES_PER_MP_LIMB); + s1p = (mp_ptr) TMP_ALLOC (size * BYTES_PER_MP_LIMB); + + MPN_ZERO (s0p, size); + MPN_ZERO (s1p, size); + + s0p[0] = 1; + s1p[0] = 0; + ssize = 1; +#endif + + if (size > vsize) + { + /* Normalize V (and shift up U the same amount). */ + count_leading_zeros (cnt, vp[vsize - 1]); + if (cnt != 0) + { + mp_limb_t cy; + mpn_lshift (vp, vp, vsize, cnt); + cy = mpn_lshift (up, up, size, cnt); + up[size] = cy; + size += cy != 0; + } + + mpn_divmod (up + vsize, up, size, vp, vsize); +#if EXTEND + /* This is really what it boils down to in this case... */ + s0p[0] = 0; + s1p[0] = 1; +#endif + size = vsize; + if (cnt != 0) + { + mpn_rshift (up, up, size, cnt); + mpn_rshift (vp, vp, size, cnt); + } + { + mp_ptr xp; + xp = up; up = vp; vp = xp; + } + } + + for (;;) + { + /* Figure out exact size of V. */ + vsize = size; + MPN_NORMALIZE (vp, vsize); + if (vsize <= 1) + break; + + /* Make UH be the most significant limb of U, and make VH be + corresponding bits from V. */ + uh = up[size - 1]; + vh = vp[size - 1]; + count_leading_zeros (cnt, uh); + if (cnt != 0) + { + uh = (uh << cnt) | (up[size - 2] >> (BITS_PER_MP_LIMB - cnt)); + vh = (vh << cnt) | (vp[size - 2] >> (BITS_PER_MP_LIMB - cnt)); + } + +#if 0 + /* For now, only handle BITS_PER_MP_LIMB-1 bits. This makes + room for sign bit. */ + uh >>= 1; + vh >>= 1; +#endif + A = 1; + B = 0; + C = 0; + D = 1; + + for (;;) + { + mp_limb_signed_t q, T; + if (vh + C == 0 || vh + D == 0) + break; + + q = (uh + A) / (vh + C); + if (q != (uh + B) / (vh + D)) + break; + + T = A - q * C; + A = C; + C = T; + T = B - q * D; + B = D; + D = T; + T = uh - q * vh; + uh = vh; + vh = T; + } + +#if RECORD + min = MIN (A, min); min = MIN (B, min); + min = MIN (C, min); min = MIN (D, min); + max = MAX (A, max); max = MAX (B, max); + max = MAX (C, max); max = MAX (D, max); +#endif + + if (B == 0) + { + mp_limb_t qh; + mp_size_t i; + + /* This is quite rare. I.e., optimize something else! */ + + /* Normalize V (and shift up U the same amount). */ + count_leading_zeros (cnt, vp[vsize - 1]); + if (cnt != 0) + { + mp_limb_t cy; + mpn_lshift (vp, vp, vsize, cnt); + cy = mpn_lshift (up, up, size, cnt); + up[size] = cy; + size += cy != 0; + } + + qh = mpn_divmod (up + vsize, up, size, vp, vsize); +#if EXTEND + MPN_COPY (tp, s0p, ssize); + for (i = 0; i < size - vsize; i++) + { + mp_limb_t cy; + cy = mpn_addmul_1 (tp + i, s1p, ssize, up[vsize + i]); + if (cy != 0) + tp[ssize++] = cy; + } + if (qh != 0) + { + mp_limb_t cy; + abort (); + /* XXX since qh == 1, mpn_addmul_1 is overkill */ + cy = mpn_addmul_1 (tp + size - vsize, s1p, ssize, qh); + if (cy != 0) + tp[ssize++] = cy; + } +#if 0 + MPN_COPY (s0p, s1p, ssize); /* should be old ssize, kind of */ + MPN_COPY (s1p, tp, ssize); +#else + { + mp_ptr xp; + xp = s0p; s0p = s1p; s1p = xp; + xp = s1p; s1p = tp; tp = xp; + } +#endif +#endif + size = vsize; + if (cnt != 0) + { + mpn_rshift (up, up, size, cnt); + mpn_rshift (vp, vp, size, cnt); + } + + { + mp_ptr xp; + xp = up; up = vp; vp = xp; + } + MPN_NORMALIZE (up, size); + } + else + { + /* T = U*A + V*B + W = U*C + V*D + U = T + V = W */ + + if (SGN(A) == SGN(B)) /* should be different sign */ + abort (); + if (SGN(C) == SGN(D)) /* should be different sign */ + abort (); +#if STAT + { mp_limb_t x; + x = ABS (A) | ABS (B) | ABS (C) | ABS (D); + count_leading_zeros (cnt, x); + arr[BITS_PER_MP_LIMB - cnt]++; } +#endif + if (A == 0) + { + if (B != 1) abort (); + MPN_COPY (tp, vp, size); + } + else + { + if (A < 0) + { + mpn_mul_1 (tp, vp, size, B); + mpn_submul_1 (tp, up, size, -A); + } + else + { + mpn_mul_1 (tp, up, size, A); + mpn_submul_1 (tp, vp, size, -B); + } + } + if (C < 0) + { + mpn_mul_1 (wp, vp, size, D); + mpn_submul_1 (wp, up, size, -C); + } + else + { + mpn_mul_1 (wp, up, size, C); + mpn_submul_1 (wp, vp, size, -D); + } + + { + mp_ptr xp; + xp = tp; tp = up; up = xp; + xp = wp; wp = vp; vp = xp; + } + +#if EXTEND + { mp_limb_t cy; + MPN_ZERO (tp, orig_size); + if (A == 0) + { + if (B != 1) abort (); + MPN_COPY (tp, s1p, ssize); + } + else + { + if (A < 0) + { + cy = mpn_mul_1 (tp, s1p, ssize, B); + cy += mpn_addmul_1 (tp, s0p, ssize, -A); + } + else + { + cy = mpn_mul_1 (tp, s0p, ssize, A); + cy += mpn_addmul_1 (tp, s1p, ssize, -B); + } + if (cy != 0) + tp[ssize++] = cy; + } + MPN_ZERO (wp, orig_size); + if (C < 0) + { + cy = mpn_mul_1 (wp, s1p, ssize, D); + cy += mpn_addmul_1 (wp, s0p, ssize, -C); + } + else + { + cy = mpn_mul_1 (wp, s0p, ssize, C); + cy += mpn_addmul_1 (wp, s1p, ssize, -D); + } + if (cy != 0) + wp[ssize++] = cy; + } + { + mp_ptr xp; + xp = tp; tp = s0p; s0p = xp; + xp = wp; wp = s1p; s1p = xp; + } +#endif +#if 0 /* Is it a win to remove multiple zeros here? */ + MPN_NORMALIZE (up, size); +#else + if (up[size - 1] == 0) + size--; +#endif + } + } + +#if RECORD + printf ("min: %ld\n", min); + printf ("max: %ld\n", max); +#endif + + if (vsize == 0) + { + if (gp != up) + MPN_COPY (gp, up, size); +#if EXTEND + if (orig_s0p != s0p) + MPN_COPY (orig_s0p, s0p, ssize); +#endif + TMP_FREE (mark); + return size; + } + else + { + mp_limb_t vl, ul, t; +#if EXTEND + mp_limb_t cy; + mp_size_t i; +#endif + vl = vp[0]; +#if EXTEND + t = mpn_divmod_1 (wp, up, size, vl); + MPN_COPY (tp, s0p, ssize); + for (i = 0; i < size; i++) + { + cy = mpn_addmul_1 (tp + i, s1p, ssize, wp[i]); + if (cy != 0) + tp[ssize++] = cy; + } +#if 0 + MPN_COPY (s0p, s1p, ssize); + MPN_COPY (s1p, tp, ssize); +#else + { + mp_ptr xp; + xp = s0p; s0p = s1p; s1p = xp; + xp = s1p; s1p = tp; tp = xp; + } +#endif +#else + t = mpn_mod_1 (up, size, vl); +#endif + ul = vl; + vl = t; + while (vl != 0) + { + mp_limb_t t; +#if EXTEND + mp_limb_t q, cy; + q = ul / vl; + t = ul - q*vl; + + MPN_COPY (tp, s0p, ssize); + cy = mpn_addmul_1 (tp, s1p, ssize, q); + if (cy != 0) + tp[ssize++] = cy; +#if 0 + MPN_COPY (s0p, s1p, ssize); + MPN_COPY (s1p, tp, ssize); +#else + { + mp_ptr xp; + xp = s0p; s0p = s1p; s1p = xp; + xp = s1p; s1p = tp; tp = xp; + } +#endif + +#else + t = ul % vl; +#endif + ul = vl; + vl = t; + } + gp[0] = ul; +#if EXTEND + if (orig_s0p != s0p) + MPN_COPY (orig_s0p, s0p, ssize); +#endif + TMP_FREE (mark); + return 1; + } +} diff --git a/contrib/libgmp/mpn/generic/get_str.c b/contrib/libgmp/mpn/generic/get_str.c new file mode 100644 index 0000000..0e7fc60 --- /dev/null +++ b/contrib/libgmp/mpn/generic/get_str.c @@ -0,0 +1,211 @@ +/* mpn_get_str -- Convert a MSIZE long limb vector pointed to by MPTR + to a printable string in STR in base BASE. + +Copyright (C) 1991, 1992, 1993, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + +/* Convert the limb vector pointed to by MPTR and MSIZE long to a + char array, using base BASE for the result array. Store the + result in the character array STR. STR must point to an array with + space for the largest possible number represented by a MSIZE long + limb vector + 1 extra character. + + The result is NOT in Ascii, to convert it to printable format, add + '0' or 'A' depending on the base and range. + + Return the number of digits in the result string. + This may include some leading zeros. + + The limb vector pointed to by MPTR is clobbered. */ + +size_t +mpn_get_str (str, base, mptr, msize) + unsigned char *str; + int base; + mp_ptr mptr; + mp_size_t msize; +{ + mp_limb_t big_base; +#if UDIV_NEEDS_NORMALIZATION || UDIV_TIME > 2 * UMUL_TIME + int normalization_steps; +#endif +#if UDIV_TIME > 2 * UMUL_TIME + mp_limb_t big_base_inverted; +#endif + unsigned int dig_per_u; + mp_size_t out_len; + register unsigned char *s; + + big_base = __mp_bases[base].big_base; + + s = str; + + /* Special case zero, as the code below doesn't handle it. */ + if (msize == 0) + { + s[0] = 0; + return 1; + } + + if ((base & (base - 1)) == 0) + { + /* The base is a power of 2. Make conversion from most + significant side. */ + mp_limb_t n1, n0; + register int bits_per_digit = big_base; + register int x; + register int bit_pos; + register int i; + + n1 = mptr[msize - 1]; + count_leading_zeros (x, n1); + + /* BIT_POS should be R when input ends in least sign. nibble, + R + bits_per_digit * n when input ends in n:th least significant + nibble. */ + + { + int bits; + + bits = BITS_PER_MP_LIMB * msize - x; + x = bits % bits_per_digit; + if (x != 0) + bits += bits_per_digit - x; + bit_pos = bits - (msize - 1) * BITS_PER_MP_LIMB; + } + + /* Fast loop for bit output. */ + i = msize - 1; + for (;;) + { + bit_pos -= bits_per_digit; + while (bit_pos >= 0) + { + *s++ = (n1 >> bit_pos) & ((1 << bits_per_digit) - 1); + bit_pos -= bits_per_digit; + } + i--; + if (i < 0) + break; + n0 = (n1 << -bit_pos) & ((1 << bits_per_digit) - 1); + n1 = mptr[i]; + bit_pos += BITS_PER_MP_LIMB; + *s++ = n0 | (n1 >> bit_pos); + } + + *s = 0; + + return s - str; + } + else + { + /* General case. The base is not a power of 2. Make conversion + from least significant end. */ + + /* If udiv_qrnnd only handles divisors with the most significant bit + set, prepare BIG_BASE for being a divisor by shifting it to the + left exactly enough to set the most significant bit. */ +#if UDIV_NEEDS_NORMALIZATION || UDIV_TIME > 2 * UMUL_TIME + count_leading_zeros (normalization_steps, big_base); + big_base <<= normalization_steps; +#if UDIV_TIME > 2 * UMUL_TIME + /* Get the fixed-point approximation to 1/(BIG_BASE << NORMALIZATION_STEPS). */ + big_base_inverted = __mp_bases[base].big_base_inverted; +#endif +#endif + + dig_per_u = __mp_bases[base].chars_per_limb; + out_len = ((size_t) msize * BITS_PER_MP_LIMB + * __mp_bases[base].chars_per_bit_exactly) + 1; + s += out_len; + + while (msize != 0) + { + int i; + mp_limb_t n0, n1; + +#if UDIV_NEEDS_NORMALIZATION || UDIV_TIME > 2 * UMUL_TIME + /* If we shifted BIG_BASE above, shift the dividend too, to get + the right quotient. We need to do this every loop, + since the intermediate quotients are OK, but the quotient from + one turn in the loop is going to be the dividend in the + next turn, and the dividend needs to be up-shifted. */ + if (normalization_steps != 0) + { + n0 = mpn_lshift (mptr, mptr, msize, normalization_steps); + + /* If the shifting gave a carry out limb, store it and + increase the length. */ + if (n0 != 0) + { + mptr[msize] = n0; + msize++; + } + } +#endif + + /* Divide the number at TP with BIG_BASE to get a quotient and a + remainder. The remainder is our new digit in base BIG_BASE. */ + i = msize - 1; + n1 = mptr[i]; + + if (n1 >= big_base) + n1 = 0; + else + { + msize--; + i--; + } + + for (; i >= 0; i--) + { + n0 = mptr[i]; +#if UDIV_TIME > 2 * UMUL_TIME + udiv_qrnnd_preinv (mptr[i], n1, n1, n0, big_base, big_base_inverted); +#else + udiv_qrnnd (mptr[i], n1, n1, n0, big_base); +#endif + } + +#if UDIV_NEEDS_NORMALIZATION || UDIV_TIME > 2 * UMUL_TIME + /* If we shifted above (at previous UDIV_NEEDS_NORMALIZATION tests) + the remainder will be up-shifted here. Compensate. */ + n1 >>= normalization_steps; +#endif + + /* Convert N1 from BIG_BASE to a string of digits in BASE + using single precision operations. */ + for (i = dig_per_u - 1; i >= 0; i--) + { + *--s = n1 % base; + n1 /= base; + if (n1 == 0 && msize == 0) + break; + } + } + + while (s != str) + *--s = 0; + return out_len; + } +} diff --git a/contrib/libgmp/mpn/generic/gmp-mparam.h b/contrib/libgmp/mpn/generic/gmp-mparam.h new file mode 100644 index 0000000..7c88557 --- /dev/null +++ b/contrib/libgmp/mpn/generic/gmp-mparam.h @@ -0,0 +1,27 @@ +/* gmp-mparam.h -- Compiler/machine parameter header file. + +Copyright (C) 1991, 1993, 1994 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#define BITS_PER_MP_LIMB 32 +#define BYTES_PER_MP_LIMB 4 +#define BITS_PER_LONGINT 32 +#define BITS_PER_INT 32 +#define BITS_PER_SHORTINT 16 +#define BITS_PER_CHAR 8 diff --git a/contrib/libgmp/mpn/generic/hamdist.c b/contrib/libgmp/mpn/generic/hamdist.c new file mode 100644 index 0000000..2190b63 --- /dev/null +++ b/contrib/libgmp/mpn/generic/hamdist.c @@ -0,0 +1,88 @@ +/* mpn_hamdist -- + +Copyright (C) 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" + +#if defined __GNUC__ +#if defined __sparc_v9__ && BITS_PER_MP_LIMB == 64 +#define popc_limb(a) \ + ({ \ + DItype __res; \ + asm ("popc %1,%0" : "=r" (__res) : "rI" (a)); \ + __res; \ + }) +#endif +#endif + +#ifndef popc_limb + +/* Cool population count of a mp_limb_t. + You have to figure out how this works, I won't tell you! */ + +static inline unsigned int +popc_limb (x) + mp_limb_t x; +{ +#if BITS_PER_MP_LIMB == 64 + /* We have to go into some trouble to define these constants. + (For mp_limb_t being `long long'.) */ + mp_limb_t cnst; + cnst = 0x55555555L | ((mp_limb_t) 0x55555555L << BITS_PER_MP_LIMB/2); + x = ((x & ~cnst) >> 1) + (x & cnst); + cnst = 0x33333333L | ((mp_limb_t) 0x33333333L << BITS_PER_MP_LIMB/2); + x = ((x & ~cnst) >> 2) + (x & cnst); + cnst = 0x0f0f0f0fL | ((mp_limb_t) 0x0f0f0f0fL << BITS_PER_MP_LIMB/2); + x = ((x >> 4) + x) & cnst; + x = ((x >> 8) + x); + x = ((x >> 16) + x); + x = ((x >> 32) + x) & 0xff; +#endif +#if BITS_PER_MP_LIMB == 32 + x = ((x >> 1) & 0x55555555L) + (x & 0x55555555L); + x = ((x >> 2) & 0x33333333L) + (x & 0x33333333L); + x = ((x >> 4) + x) & 0x0f0f0f0fL; + x = ((x >> 8) + x); + x = ((x >> 16) + x) & 0xff; +#endif + return x; +} +#endif + +unsigned long int +#if __STDC__ +mpn_hamdist (mp_srcptr up, mp_srcptr vp, mp_size_t size) +#else +mpn_hamdist (up, vp, size) + register mp_srcptr up; + register mp_srcptr vp; + register mp_size_t size; +#endif +{ + unsigned long int hamdist; + mp_size_t i; + + hamdist = 0; + for (i = 0; i < size; i++) + hamdist += popc_limb (up[i] ^ vp[i]); + + return hamdist; +} diff --git a/contrib/libgmp/mpn/generic/inlines.c b/contrib/libgmp/mpn/generic/inlines.c new file mode 100644 index 0000000..dca305e --- /dev/null +++ b/contrib/libgmp/mpn/generic/inlines.c @@ -0,0 +1,3 @@ +#define _FORCE_INLINES +#define _EXTERN_INLINE /* empty */ +#include "gmp.h" diff --git a/contrib/libgmp/mpn/generic/lshift.c b/contrib/libgmp/mpn/generic/lshift.c new file mode 100644 index 0000000..e244bc5 --- /dev/null +++ b/contrib/libgmp/mpn/generic/lshift.c @@ -0,0 +1,87 @@ +/* mpn_lshift -- Shift left low level. + +Copyright (C) 1991, 1993, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" + +/* Shift U (pointed to by UP and USIZE digits long) CNT bits to the left + and store the USIZE least significant digits of the result at WP. + Return the bits shifted out from the most significant digit. + + Argument constraints: + 1. 0 < CNT < BITS_PER_MP_LIMB + 2. If the result is to be written over the input, WP must be >= UP. +*/ + +mp_limb_t +#if __STDC__ +mpn_lshift (register mp_ptr wp, + register mp_srcptr up, mp_size_t usize, + register unsigned int cnt) +#else +mpn_lshift (wp, up, usize, cnt) + register mp_ptr wp; + register mp_srcptr up; + mp_size_t usize; + register unsigned int cnt; +#endif +{ + register mp_limb_t high_limb, low_limb; + register unsigned sh_1, sh_2; + register mp_size_t i; + mp_limb_t retval; + +#ifdef DEBUG + if (usize == 0 || cnt == 0) + abort (); +#endif + + sh_1 = cnt; +#if 0 + if (sh_1 == 0) + { + if (wp != up) + { + /* Copy from high end to low end, to allow specified input/output + overlapping. */ + for (i = usize - 1; i >= 0; i--) + wp[i] = up[i]; + } + return 0; + } +#endif + + wp += 1; + sh_2 = BITS_PER_MP_LIMB - sh_1; + i = usize - 1; + low_limb = up[i]; + retval = low_limb >> sh_2; + high_limb = low_limb; + while (--i >= 0) + { + low_limb = up[i]; + wp[i] = (high_limb << sh_1) | (low_limb >> sh_2); + high_limb = low_limb; + } + wp[i] = high_limb << sh_1; + + return retval; +} diff --git a/contrib/libgmp/mpn/generic/mod_1.c b/contrib/libgmp/mpn/generic/mod_1.c new file mode 100644 index 0000000..314d11b --- /dev/null +++ b/contrib/libgmp/mpn/generic/mod_1.c @@ -0,0 +1,197 @@ +/* mpn_mod_1(dividend_ptr, dividend_size, divisor_limb) -- + Divide (DIVIDEND_PTR,,DIVIDEND_SIZE) by DIVISOR_LIMB. + Return the single-limb remainder. + There are no constraints on the value of the divisor. + +Copyright (C) 1991, 1993, 1994, Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + +#ifndef UMUL_TIME +#define UMUL_TIME 1 +#endif + +#ifndef UDIV_TIME +#define UDIV_TIME UMUL_TIME +#endif + +/* FIXME: We should be using invert_limb (or invert_normalized_limb) + here (not udiv_qrnnd). */ + +mp_limb_t +#if __STDC__ +mpn_mod_1 (mp_srcptr dividend_ptr, mp_size_t dividend_size, + mp_limb_t divisor_limb) +#else +mpn_mod_1 (dividend_ptr, dividend_size, divisor_limb) + mp_srcptr dividend_ptr; + mp_size_t dividend_size; + mp_limb_t divisor_limb; +#endif +{ + mp_size_t i; + mp_limb_t n1, n0, r; + int dummy; + + /* Botch: Should this be handled at all? Rely on callers? */ + if (dividend_size == 0) + return 0; + + /* If multiplication is much faster than division, and the + dividend is large, pre-invert the divisor, and use + only multiplications in the inner loop. */ + + /* This test should be read: + Does it ever help to use udiv_qrnnd_preinv? + && Does what we save compensate for the inversion overhead? */ + if (UDIV_TIME > (2 * UMUL_TIME + 6) + && (UDIV_TIME - (2 * UMUL_TIME + 6)) * dividend_size > UDIV_TIME) + { + int normalization_steps; + + count_leading_zeros (normalization_steps, divisor_limb); + if (normalization_steps != 0) + { + mp_limb_t divisor_limb_inverted; + + divisor_limb <<= normalization_steps; + + /* Compute (2**2N - 2**N * DIVISOR_LIMB) / DIVISOR_LIMB. The + result is a (N+1)-bit approximation to 1/DIVISOR_LIMB, with the + most significant bit (with weight 2**N) implicit. */ + + /* Special case for DIVISOR_LIMB == 100...000. */ + if (divisor_limb << 1 == 0) + divisor_limb_inverted = ~(mp_limb_t) 0; + else + udiv_qrnnd (divisor_limb_inverted, dummy, + -divisor_limb, 0, divisor_limb); + + n1 = dividend_ptr[dividend_size - 1]; + r = n1 >> (BITS_PER_MP_LIMB - normalization_steps); + + /* Possible optimization: + if (r == 0 + && divisor_limb > ((n1 << normalization_steps) + | (dividend_ptr[dividend_size - 2] >> ...))) + ...one division less... */ + + for (i = dividend_size - 2; i >= 0; i--) + { + n0 = dividend_ptr[i]; + udiv_qrnnd_preinv (dummy, r, r, + ((n1 << normalization_steps) + | (n0 >> (BITS_PER_MP_LIMB - normalization_steps))), + divisor_limb, divisor_limb_inverted); + n1 = n0; + } + udiv_qrnnd_preinv (dummy, r, r, + n1 << normalization_steps, + divisor_limb, divisor_limb_inverted); + return r >> normalization_steps; + } + else + { + mp_limb_t divisor_limb_inverted; + + /* Compute (2**2N - 2**N * DIVISOR_LIMB) / DIVISOR_LIMB. The + result is a (N+1)-bit approximation to 1/DIVISOR_LIMB, with the + most significant bit (with weight 2**N) implicit. */ + + /* Special case for DIVISOR_LIMB == 100...000. */ + if (divisor_limb << 1 == 0) + divisor_limb_inverted = ~(mp_limb_t) 0; + else + udiv_qrnnd (divisor_limb_inverted, dummy, + -divisor_limb, 0, divisor_limb); + + i = dividend_size - 1; + r = dividend_ptr[i]; + + if (r >= divisor_limb) + r = 0; + else + i--; + + for (; i >= 0; i--) + { + n0 = dividend_ptr[i]; + udiv_qrnnd_preinv (dummy, r, r, + n0, divisor_limb, divisor_limb_inverted); + } + return r; + } + } + else + { + if (UDIV_NEEDS_NORMALIZATION) + { + int normalization_steps; + + count_leading_zeros (normalization_steps, divisor_limb); + if (normalization_steps != 0) + { + divisor_limb <<= normalization_steps; + + n1 = dividend_ptr[dividend_size - 1]; + r = n1 >> (BITS_PER_MP_LIMB - normalization_steps); + + /* Possible optimization: + if (r == 0 + && divisor_limb > ((n1 << normalization_steps) + | (dividend_ptr[dividend_size - 2] >> ...))) + ...one division less... */ + + for (i = dividend_size - 2; i >= 0; i--) + { + n0 = dividend_ptr[i]; + udiv_qrnnd (dummy, r, r, + ((n1 << normalization_steps) + | (n0 >> (BITS_PER_MP_LIMB - normalization_steps))), + divisor_limb); + n1 = n0; + } + udiv_qrnnd (dummy, r, r, + n1 << normalization_steps, + divisor_limb); + return r >> normalization_steps; + } + } + /* No normalization needed, either because udiv_qrnnd doesn't require + it, or because DIVISOR_LIMB is already normalized. */ + + i = dividend_size - 1; + r = dividend_ptr[i]; + + if (r >= divisor_limb) + r = 0; + else + i--; + + for (; i >= 0; i--) + { + n0 = dividend_ptr[i]; + udiv_qrnnd (dummy, r, r, n0, divisor_limb); + } + return r; + } +} diff --git a/contrib/libgmp/mpn/generic/mul.c b/contrib/libgmp/mpn/generic/mul.c new file mode 100644 index 0000000..dcf8cb4 --- /dev/null +++ b/contrib/libgmp/mpn/generic/mul.c @@ -0,0 +1,152 @@ +/* mpn_mul -- Multiply two natural numbers. + +Copyright (C) 1991, 1993, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" + +/* Multiply the natural numbers u (pointed to by UP, with USIZE limbs) + and v (pointed to by VP, with VSIZE limbs), and store the result at + PRODP. USIZE + VSIZE limbs are always stored, but if the input + operands are normalized. Return the most significant limb of the + result. + + NOTE: The space pointed to by PRODP is overwritten before finished + with U and V, so overlap is an error. + + Argument constraints: + 1. USIZE >= VSIZE. + 2. PRODP != UP and PRODP != VP, i.e. the destination + must be distinct from the multiplier and the multiplicand. */ + +/* If KARATSUBA_THRESHOLD is not already defined, define it to a + value which is good on most machines. */ +#ifndef KARATSUBA_THRESHOLD +#define KARATSUBA_THRESHOLD 32 +#endif + +mp_limb_t +#if __STDC__ +mpn_mul (mp_ptr prodp, + mp_srcptr up, mp_size_t usize, + mp_srcptr vp, mp_size_t vsize) +#else +mpn_mul (prodp, up, usize, vp, vsize) + mp_ptr prodp; + mp_srcptr up; + mp_size_t usize; + mp_srcptr vp; + mp_size_t vsize; +#endif +{ + mp_ptr prod_endp = prodp + usize + vsize - 1; + mp_limb_t cy; + mp_ptr tspace; + TMP_DECL (marker); + + if (vsize < KARATSUBA_THRESHOLD) + { + /* Handle simple cases with traditional multiplication. + + This is the most critical code of the entire function. All + multiplies rely on this, both small and huge. Small ones arrive + here immediately. Huge ones arrive here as this is the base case + for Karatsuba's recursive algorithm below. */ + mp_size_t i; + mp_limb_t cy_limb; + mp_limb_t v_limb; + + if (vsize == 0) + return 0; + + /* Multiply by the first limb in V separately, as the result can be + stored (not added) to PROD. We also avoid a loop for zeroing. */ + v_limb = vp[0]; + if (v_limb <= 1) + { + if (v_limb == 1) + MPN_COPY (prodp, up, usize); + else + MPN_ZERO (prodp, usize); + cy_limb = 0; + } + else + cy_limb = mpn_mul_1 (prodp, up, usize, v_limb); + + prodp[usize] = cy_limb; + prodp++; + + /* For each iteration in the outer loop, multiply one limb from + U with one limb from V, and add it to PROD. */ + for (i = 1; i < vsize; i++) + { + v_limb = vp[i]; + if (v_limb <= 1) + { + cy_limb = 0; + if (v_limb == 1) + cy_limb = mpn_add_n (prodp, prodp, up, usize); + } + else + cy_limb = mpn_addmul_1 (prodp, up, usize, v_limb); + + prodp[usize] = cy_limb; + prodp++; + } + return cy_limb; + } + + TMP_MARK (marker); + + tspace = (mp_ptr) TMP_ALLOC (2 * vsize * BYTES_PER_MP_LIMB); + MPN_MUL_N_RECURSE (prodp, up, vp, vsize, tspace); + + prodp += vsize; + up += vsize; + usize -= vsize; + if (usize >= vsize) + { + mp_ptr tp = (mp_ptr) TMP_ALLOC (2 * vsize * BYTES_PER_MP_LIMB); + do + { + MPN_MUL_N_RECURSE (tp, up, vp, vsize, tspace); + cy = mpn_add_n (prodp, prodp, tp, vsize); + mpn_add_1 (prodp + vsize, tp + vsize, vsize, cy); + prodp += vsize; + up += vsize; + usize -= vsize; + } + while (usize >= vsize); + } + + /* True: usize < vsize. */ + + /* Make life simple: Recurse. */ + + if (usize != 0) + { + mpn_mul (tspace, vp, vsize, up, usize); + cy = mpn_add_n (prodp, prodp, tspace, vsize); + mpn_add_1 (prodp + vsize, tspace + vsize, usize, cy); + } + + TMP_FREE (marker); + return *prod_endp; +} diff --git a/contrib/libgmp/mpn/generic/mul_1.c b/contrib/libgmp/mpn/generic/mul_1.c new file mode 100644 index 0000000..2de680a --- /dev/null +++ b/contrib/libgmp/mpn/generic/mul_1.c @@ -0,0 +1,59 @@ +/* mpn_mul_1 -- Multiply a limb vector with a single limb and + store the product in a second limb vector. + +Copyright (C) 1991, 1992, 1993, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + +mp_limb_t +mpn_mul_1 (res_ptr, s1_ptr, s1_size, s2_limb) + register mp_ptr res_ptr; + register mp_srcptr s1_ptr; + mp_size_t s1_size; + register mp_limb_t s2_limb; +{ + register mp_limb_t cy_limb; + register mp_size_t j; + register mp_limb_t prod_high, prod_low; + + /* The loop counter and index J goes from -S1_SIZE to -1. This way + the loop becomes faster. */ + j = -s1_size; + + /* Offset the base pointers to compensate for the negative indices. */ + s1_ptr -= j; + res_ptr -= j; + + cy_limb = 0; + do + { + umul_ppmm (prod_high, prod_low, s1_ptr[j], s2_limb); + + prod_low += cy_limb; + cy_limb = (prod_low < cy_limb) + prod_high; + + res_ptr[j] = prod_low; + } + while (++j != 0); + + return cy_limb; +} diff --git a/contrib/libgmp/mpn/generic/mul_n.c b/contrib/libgmp/mpn/generic/mul_n.c new file mode 100644 index 0000000..b38e8ad --- /dev/null +++ b/contrib/libgmp/mpn/generic/mul_n.c @@ -0,0 +1,401 @@ +/* mpn_mul_n -- Multiply two natural numbers of length n. + +Copyright (C) 1991, 1992, 1993, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" + +/* Multiply the natural numbers u (pointed to by UP) and v (pointed to by VP), + both with SIZE limbs, and store the result at PRODP. 2 * SIZE limbs are + always stored. Return the most significant limb. + + Argument constraints: + 1. PRODP != UP and PRODP != VP, i.e. the destination + must be distinct from the multiplier and the multiplicand. */ + +/* If KARATSUBA_THRESHOLD is not already defined, define it to a + value which is good on most machines. */ +#ifndef KARATSUBA_THRESHOLD +#define KARATSUBA_THRESHOLD 32 +#endif + +/* The code can't handle KARATSUBA_THRESHOLD smaller than 2. */ +#if KARATSUBA_THRESHOLD < 2 +#undef KARATSUBA_THRESHOLD +#define KARATSUBA_THRESHOLD 2 +#endif + +/* Handle simple cases with traditional multiplication. + + This is the most critical code of multiplication. All multiplies rely + on this, both small and huge. Small ones arrive here immediately. Huge + ones arrive here as this is the base case for Karatsuba's recursive + algorithm below. */ + +void +#if __STDC__ +impn_mul_n_basecase (mp_ptr prodp, mp_srcptr up, mp_srcptr vp, mp_size_t size) +#else +impn_mul_n_basecase (prodp, up, vp, size) + mp_ptr prodp; + mp_srcptr up; + mp_srcptr vp; + mp_size_t size; +#endif +{ + mp_size_t i; + mp_limb_t cy_limb; + mp_limb_t v_limb; + + /* Multiply by the first limb in V separately, as the result can be + stored (not added) to PROD. We also avoid a loop for zeroing. */ + v_limb = vp[0]; + if (v_limb <= 1) + { + if (v_limb == 1) + MPN_COPY (prodp, up, size); + else + MPN_ZERO (prodp, size); + cy_limb = 0; + } + else + cy_limb = mpn_mul_1 (prodp, up, size, v_limb); + + prodp[size] = cy_limb; + prodp++; + + /* For each iteration in the outer loop, multiply one limb from + U with one limb from V, and add it to PROD. */ + for (i = 1; i < size; i++) + { + v_limb = vp[i]; + if (v_limb <= 1) + { + cy_limb = 0; + if (v_limb == 1) + cy_limb = mpn_add_n (prodp, prodp, up, size); + } + else + cy_limb = mpn_addmul_1 (prodp, up, size, v_limb); + + prodp[size] = cy_limb; + prodp++; + } +} + +void +#if __STDC__ +impn_mul_n (mp_ptr prodp, + mp_srcptr up, mp_srcptr vp, mp_size_t size, mp_ptr tspace) +#else +impn_mul_n (prodp, up, vp, size, tspace) + mp_ptr prodp; + mp_srcptr up; + mp_srcptr vp; + mp_size_t size; + mp_ptr tspace; +#endif +{ + if ((size & 1) != 0) + { + /* The size is odd, the code code below doesn't handle that. + Multiply the least significant (size - 1) limbs with a recursive + call, and handle the most significant limb of S1 and S2 + separately. */ + /* A slightly faster way to do this would be to make the Karatsuba + code below behave as if the size were even, and let it check for + odd size in the end. I.e., in essence move this code to the end. + Doing so would save us a recursive call, and potentially make the + stack grow a lot less. */ + + mp_size_t esize = size - 1; /* even size */ + mp_limb_t cy_limb; + + MPN_MUL_N_RECURSE (prodp, up, vp, esize, tspace); + cy_limb = mpn_addmul_1 (prodp + esize, up, esize, vp[esize]); + prodp[esize + esize] = cy_limb; + cy_limb = mpn_addmul_1 (prodp + esize, vp, size, up[esize]); + + prodp[esize + size] = cy_limb; + } + else + { + /* Anatolij Alekseevich Karatsuba's divide-and-conquer algorithm. + + Split U in two pieces, U1 and U0, such that + U = U0 + U1*(B**n), + and V in V1 and V0, such that + V = V0 + V1*(B**n). + + UV is then computed recursively using the identity + + 2n n n n + UV = (B + B )U V + B (U -U )(V -V ) + (B + 1)U V + 1 1 1 0 0 1 0 0 + + Where B = 2**BITS_PER_MP_LIMB. */ + + mp_size_t hsize = size >> 1; + mp_limb_t cy; + int negflg; + + /*** Product H. ________________ ________________ + |_____U1 x V1____||____U0 x V0_____| */ + /* Put result in upper part of PROD and pass low part of TSPACE + as new TSPACE. */ + MPN_MUL_N_RECURSE (prodp + size, up + hsize, vp + hsize, hsize, tspace); + + /*** Product M. ________________ + |_(U1-U0)(V0-V1)_| */ + if (mpn_cmp (up + hsize, up, hsize) >= 0) + { + mpn_sub_n (prodp, up + hsize, up, hsize); + negflg = 0; + } + else + { + mpn_sub_n (prodp, up, up + hsize, hsize); + negflg = 1; + } + if (mpn_cmp (vp + hsize, vp, hsize) >= 0) + { + mpn_sub_n (prodp + hsize, vp + hsize, vp, hsize); + negflg ^= 1; + } + else + { + mpn_sub_n (prodp + hsize, vp, vp + hsize, hsize); + /* No change of NEGFLG. */ + } + /* Read temporary operands from low part of PROD. + Put result in low part of TSPACE using upper part of TSPACE + as new TSPACE. */ + MPN_MUL_N_RECURSE (tspace, prodp, prodp + hsize, hsize, tspace + size); + + /*** Add/copy product H. */ + MPN_COPY (prodp + hsize, prodp + size, hsize); + cy = mpn_add_n (prodp + size, prodp + size, prodp + size + hsize, hsize); + + /*** Add product M (if NEGFLG M is a negative number). */ + if (negflg) + cy -= mpn_sub_n (prodp + hsize, prodp + hsize, tspace, size); + else + cy += mpn_add_n (prodp + hsize, prodp + hsize, tspace, size); + + /*** Product L. ________________ ________________ + |________________||____U0 x V0_____| */ + /* Read temporary operands from low part of PROD. + Put result in low part of TSPACE using upper part of TSPACE + as new TSPACE. */ + MPN_MUL_N_RECURSE (tspace, up, vp, hsize, tspace + size); + + /*** Add/copy Product L (twice). */ + + cy += mpn_add_n (prodp + hsize, prodp + hsize, tspace, size); + if (cy) + mpn_add_1 (prodp + hsize + size, prodp + hsize + size, hsize, cy); + + MPN_COPY (prodp, tspace, hsize); + cy = mpn_add_n (prodp + hsize, prodp + hsize, tspace + hsize, hsize); + if (cy) + mpn_add_1 (prodp + size, prodp + size, size, 1); + } +} + +void +#if __STDC__ +impn_sqr_n_basecase (mp_ptr prodp, mp_srcptr up, mp_size_t size) +#else +impn_sqr_n_basecase (prodp, up, size) + mp_ptr prodp; + mp_srcptr up; + mp_size_t size; +#endif +{ + mp_size_t i; + mp_limb_t cy_limb; + mp_limb_t v_limb; + + /* Multiply by the first limb in V separately, as the result can be + stored (not added) to PROD. We also avoid a loop for zeroing. */ + v_limb = up[0]; + if (v_limb <= 1) + { + if (v_limb == 1) + MPN_COPY (prodp, up, size); + else + MPN_ZERO (prodp, size); + cy_limb = 0; + } + else + cy_limb = mpn_mul_1 (prodp, up, size, v_limb); + + prodp[size] = cy_limb; + prodp++; + + /* For each iteration in the outer loop, multiply one limb from + U with one limb from V, and add it to PROD. */ + for (i = 1; i < size; i++) + { + v_limb = up[i]; + if (v_limb <= 1) + { + cy_limb = 0; + if (v_limb == 1) + cy_limb = mpn_add_n (prodp, prodp, up, size); + } + else + cy_limb = mpn_addmul_1 (prodp, up, size, v_limb); + + prodp[size] = cy_limb; + prodp++; + } +} + +void +#if __STDC__ +impn_sqr_n (mp_ptr prodp, + mp_srcptr up, mp_size_t size, mp_ptr tspace) +#else +impn_sqr_n (prodp, up, size, tspace) + mp_ptr prodp; + mp_srcptr up; + mp_size_t size; + mp_ptr tspace; +#endif +{ + if ((size & 1) != 0) + { + /* The size is odd, the code code below doesn't handle that. + Multiply the least significant (size - 1) limbs with a recursive + call, and handle the most significant limb of S1 and S2 + separately. */ + /* A slightly faster way to do this would be to make the Karatsuba + code below behave as if the size were even, and let it check for + odd size in the end. I.e., in essence move this code to the end. + Doing so would save us a recursive call, and potentially make the + stack grow a lot less. */ + + mp_size_t esize = size - 1; /* even size */ + mp_limb_t cy_limb; + + MPN_SQR_N_RECURSE (prodp, up, esize, tspace); + cy_limb = mpn_addmul_1 (prodp + esize, up, esize, up[esize]); + prodp[esize + esize] = cy_limb; + cy_limb = mpn_addmul_1 (prodp + esize, up, size, up[esize]); + + prodp[esize + size] = cy_limb; + } + else + { + mp_size_t hsize = size >> 1; + mp_limb_t cy; + + /*** Product H. ________________ ________________ + |_____U1 x U1____||____U0 x U0_____| */ + /* Put result in upper part of PROD and pass low part of TSPACE + as new TSPACE. */ + MPN_SQR_N_RECURSE (prodp + size, up + hsize, hsize, tspace); + + /*** Product M. ________________ + |_(U1-U0)(U0-U1)_| */ + if (mpn_cmp (up + hsize, up, hsize) >= 0) + { + mpn_sub_n (prodp, up + hsize, up, hsize); + } + else + { + mpn_sub_n (prodp, up, up + hsize, hsize); + } + + /* Read temporary operands from low part of PROD. + Put result in low part of TSPACE using upper part of TSPACE + as new TSPACE. */ + MPN_SQR_N_RECURSE (tspace, prodp, hsize, tspace + size); + + /*** Add/copy product H. */ + MPN_COPY (prodp + hsize, prodp + size, hsize); + cy = mpn_add_n (prodp + size, prodp + size, prodp + size + hsize, hsize); + + /*** Add product M (if NEGFLG M is a negative number). */ + cy -= mpn_sub_n (prodp + hsize, prodp + hsize, tspace, size); + + /*** Product L. ________________ ________________ + |________________||____U0 x U0_____| */ + /* Read temporary operands from low part of PROD. + Put result in low part of TSPACE using upper part of TSPACE + as new TSPACE. */ + MPN_SQR_N_RECURSE (tspace, up, hsize, tspace + size); + + /*** Add/copy Product L (twice). */ + + cy += mpn_add_n (prodp + hsize, prodp + hsize, tspace, size); + if (cy) + mpn_add_1 (prodp + hsize + size, prodp + hsize + size, hsize, cy); + + MPN_COPY (prodp, tspace, hsize); + cy = mpn_add_n (prodp + hsize, prodp + hsize, tspace + hsize, hsize); + if (cy) + mpn_add_1 (prodp + size, prodp + size, size, 1); + } +} + +/* This should be made into an inline function in gmp.h. */ +inline void +#if __STDC__ +mpn_mul_n (mp_ptr prodp, mp_srcptr up, mp_srcptr vp, mp_size_t size) +#else +mpn_mul_n (prodp, up, vp, size) + mp_ptr prodp; + mp_srcptr up; + mp_srcptr vp; + mp_size_t size; +#endif +{ + TMP_DECL (marker); + TMP_MARK (marker); + if (up == vp) + { + if (size < KARATSUBA_THRESHOLD) + { + impn_sqr_n_basecase (prodp, up, size); + } + else + { + mp_ptr tspace; + tspace = (mp_ptr) TMP_ALLOC (2 * size * BYTES_PER_MP_LIMB); + impn_sqr_n (prodp, up, size, tspace); + } + } + else + { + if (size < KARATSUBA_THRESHOLD) + { + impn_mul_n_basecase (prodp, up, vp, size); + } + else + { + mp_ptr tspace; + tspace = (mp_ptr) TMP_ALLOC (2 * size * BYTES_PER_MP_LIMB); + impn_mul_n (prodp, up, vp, size, tspace); + } + } + TMP_FREE (marker); +} diff --git a/contrib/libgmp/mpn/generic/perfsqr.c b/contrib/libgmp/mpn/generic/perfsqr.c new file mode 100644 index 0000000..5a6e2af --- /dev/null +++ b/contrib/libgmp/mpn/generic/perfsqr.c @@ -0,0 +1,138 @@ +/* mpn_perfect_square_p(u,usize) -- Return non-zero if U is a perfect square, + zero otherwise. + +Copyright (C) 1991, 1993, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + +#ifndef UMUL_TIME +#define UMUL_TIME 1 +#endif + +#ifndef UDIV_TIME +#define UDIV_TIME UMUL_TIME +#endif + +#if BITS_PER_MP_LIMB == 32 +#define PP 0xC0CFD797L /* 3 x 5 x 7 x 11 x 13 x ... x 29 */ +#define PP_INVERTED 0x53E5645CL +#endif + +#if BITS_PER_MP_LIMB == 64 +#define PP 0xE221F97C30E94E1DL /* 3 x 5 x 7 x 11 x 13 x ... x 53 */ +#define PP_INVERTED 0x21CFE6CFC938B36BL +#endif + +/* sq_res_0x100[x mod 0x100] == 1 iff x mod 0x100 is a quadratic residue + modulo 0x100. */ +static unsigned char const sq_res_0x100[0x100] = +{ + 1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0, + 0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0, + 1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0, + 0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0, + 0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0, + 0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0, + 0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0, + 0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0, +}; + +int +#if __STDC__ +mpn_perfect_square_p (mp_srcptr up, mp_size_t usize) +#else +mpn_perfect_square_p (up, usize) + mp_srcptr up; + mp_size_t usize; +#endif +{ + mp_limb_t rem; + mp_ptr root_ptr; + int res; + TMP_DECL (marker); + + /* The first test excludes 55/64 (85.9%) of the perfect square candidates + in O(1) time. */ + if ((sq_res_0x100[(unsigned int) up[0] % 0x100] & 1) == 0) + return 0; + +#if defined (PP) + /* The second test excludes 30652543/30808063 (99.5%) of the remaining + perfect square candidates in O(n) time. */ + + /* Firstly, compute REM = A mod PP. */ + if (UDIV_TIME > (2 * UMUL_TIME + 6)) + rem = mpn_preinv_mod_1 (up, usize, (mp_limb_t) PP, (mp_limb_t) PP_INVERTED); + else + rem = mpn_mod_1 (up, usize, (mp_limb_t) PP); + + /* Now decide if REM is a quadratic residue modulo the factors in PP. */ + + /* If A is just a few limbs, computing the square root does not take long + time, so things might run faster if we limit this loop according to the + size of A. */ + +#if BITS_PER_MP_LIMB == 64 + if (((0x12DD703303AED3L >> rem % 53) & 1) == 0) + return 0; + if (((0x4351B2753DFL >> rem % 47) & 1) == 0) + return 0; + if (((0x35883A3EE53L >> rem % 43) & 1) == 0) + return 0; + if (((0x1B382B50737L >> rem % 41) & 1) == 0) + return 0; + if (((0x165E211E9BL >> rem % 37) & 1) == 0) + return 0; + if (((0x121D47B7L >> rem % 31) & 1) == 0) + return 0; +#endif + if (((0x13D122F3L >> rem % 29) & 1) == 0) + return 0; + if (((0x5335FL >> rem % 23) & 1) == 0) + return 0; + if (((0x30AF3L >> rem % 19) & 1) == 0) + return 0; + if (((0x1A317L >> rem % 17) & 1) == 0) + return 0; + if (((0x161BL >> rem % 13) & 1) == 0) + return 0; + if (((0x23BL >> rem % 11) & 1) == 0) + return 0; + if (((0x017L >> rem % 7) & 1) == 0) + return 0; + if (((0x13L >> rem % 5) & 1) == 0) + return 0; + if (((0x3L >> rem % 3) & 1) == 0) + return 0; +#endif + + TMP_MARK (marker); + + /* For the third and last test, we finally compute the square root, + to make sure we've really got a perfect square. */ + root_ptr = (mp_ptr) TMP_ALLOC ((usize + 1) / 2 * BYTES_PER_MP_LIMB); + + /* Iff mpn_sqrtrem returns zero, the square is perfect. */ + res = ! mpn_sqrtrem (root_ptr, NULL, up, usize); + TMP_FREE (marker); + return res; +} diff --git a/contrib/libgmp/mpn/generic/popcount.c b/contrib/libgmp/mpn/generic/popcount.c new file mode 100644 index 0000000..c48573a --- /dev/null +++ b/contrib/libgmp/mpn/generic/popcount.c @@ -0,0 +1,87 @@ +/* popcount.c + +Copyright (C) 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" + +#if defined __GNUC__ +#if defined __sparc_v9__ && BITS_PER_MP_LIMB == 64 +#define popc_limb(a) \ + ({ \ + DItype __res; \ + asm ("popc %1,%0" : "=r" (__res) : "rI" (a)); \ + __res; \ + }) +#endif +#endif + +#ifndef popc_limb + +/* Cool population count of a mp_limb_t. + You have to figure out how this works, I won't tell you! */ + +static inline unsigned int +popc_limb (x) + mp_limb_t x; +{ +#if BITS_PER_MP_LIMB == 64 + /* We have to go into some trouble to define these constants. + (For mp_limb_t being `long long'.) */ + mp_limb_t cnst; + cnst = 0x55555555L | ((mp_limb_t) 0x55555555L << BITS_PER_MP_LIMB/2); + x = ((x & ~cnst) >> 1) + (x & cnst); + cnst = 0x33333333L | ((mp_limb_t) 0x33333333L << BITS_PER_MP_LIMB/2); + x = ((x & ~cnst) >> 2) + (x & cnst); + cnst = 0x0f0f0f0fL | ((mp_limb_t) 0x0f0f0f0fL << BITS_PER_MP_LIMB/2); + x = ((x >> 4) + x) & cnst; + x = ((x >> 8) + x); + x = ((x >> 16) + x); + x = ((x >> 32) + x) & 0xff; +#endif +#if BITS_PER_MP_LIMB == 32 + x = ((x >> 1) & 0x55555555L) + (x & 0x55555555L); + x = ((x >> 2) & 0x33333333L) + (x & 0x33333333L); + x = ((x >> 4) + x) & 0x0f0f0f0fL; + x = ((x >> 8) + x); + x = ((x >> 16) + x) & 0xff; +#endif + return x; +} +#endif + +unsigned long int +#if __STDC__ +mpn_popcount (register mp_srcptr p, register mp_size_t size) +#else +mpn_popcount (p, size) + register mp_srcptr p; + register mp_size_t size; +#endif +{ + unsigned long int popcnt; + mp_size_t i; + + popcnt = 0; + for (i = 0; i < size; i++) + popcnt += popc_limb (p[i]); + + return popcnt; +} diff --git a/contrib/libgmp/mpn/generic/pre_mod_1.c b/contrib/libgmp/mpn/generic/pre_mod_1.c new file mode 100644 index 0000000..92d413b --- /dev/null +++ b/contrib/libgmp/mpn/generic/pre_mod_1.c @@ -0,0 +1,69 @@ +/* mpn_preinv_mod_1 (dividend_ptr, dividend_size, divisor_limb, + divisor_limb_inverted) -- + Divide (DIVIDEND_PTR,,DIVIDEND_SIZE) by the normalized DIVISOR_LIMB. + DIVISOR_LIMB_INVERTED should be 2^(2*BITS_PER_MP_LIMB) / DIVISOR_LIMB + + - 2^BITS_PER_MP_LIMB. + Return the single-limb remainder. + +Copyright (C) 1991, 1993, 1994, Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + +#ifndef UMUL_TIME +#define UMUL_TIME 1 +#endif + +#ifndef UDIV_TIME +#define UDIV_TIME UMUL_TIME +#endif + +mp_limb_t +#if __STDC__ +mpn_preinv_mod_1 (mp_srcptr dividend_ptr, mp_size_t dividend_size, + mp_limb_t divisor_limb, mp_limb_t divisor_limb_inverted) +#else +mpn_preinv_mod_1 (dividend_ptr, dividend_size, divisor_limb, divisor_limb_inverted) + mp_srcptr dividend_ptr; + mp_size_t dividend_size; + mp_limb_t divisor_limb; + mp_limb_t divisor_limb_inverted; +#endif +{ + mp_size_t i; + mp_limb_t n0, r; + int dummy; + + i = dividend_size - 1; + r = dividend_ptr[i]; + + if (r >= divisor_limb) + r = 0; + else + i--; + + for (; i >= 0; i--) + { + n0 = dividend_ptr[i]; + udiv_qrnnd_preinv (dummy, r, r, n0, divisor_limb, divisor_limb_inverted); + } + return r; +} diff --git a/contrib/libgmp/mpn/generic/random2.c b/contrib/libgmp/mpn/generic/random2.c new file mode 100644 index 0000000..2954608 --- /dev/null +++ b/contrib/libgmp/mpn/generic/random2.c @@ -0,0 +1,93 @@ +/* mpn_random2 -- Generate random numbers with relatively long strings + of ones and zeroes. Suitable for border testing. + +Copyright (C) 1992, 1993, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" + +#if defined (__hpux) || defined (alpha__) || defined (__svr4__) || defined (__SVR4) +/* HPUX lacks random(). DEC OSF/1 1.2 random() returns a double. */ +long mrand48 (); +static inline long +random () +{ + return mrand48 (); +} +#else +long random (); +#endif + +/* It's a bit tricky to get this right, so please test the code well + if you hack with it. Some early versions of the function produced + random numbers with the leading limb == 0, and some versions never + made the most significant bit set. */ + +void +mpn_random2 (res_ptr, size) + mp_ptr res_ptr; + mp_size_t size; +{ + int n_bits; + int bit_pos; + mp_size_t limb_pos; + unsigned int ran; + mp_limb_t limb; + + limb = 0; + + /* Start off in a random bit position in the most significant limb. */ + bit_pos = random () & (BITS_PER_MP_LIMB - 1); + + /* Least significant bit of RAN chooses string of ones/string of zeroes. + Make most significant limb be non-zero by setting bit 0 of RAN. */ + ran = random () | 1; + + for (limb_pos = size - 1; limb_pos >= 0; ) + { + n_bits = (ran >> 1) % BITS_PER_MP_LIMB + 1; + if ((ran & 1) != 0) + { + /* Generate a string of ones. */ + if (n_bits >= bit_pos) + { + res_ptr[limb_pos--] = limb | ((((mp_limb_t) 2) << bit_pos) - 1); + bit_pos += BITS_PER_MP_LIMB; + limb = (~(mp_limb_t) 0) << (bit_pos - n_bits); + } + else + { + limb |= ((((mp_limb_t) 1) << n_bits) - 1) << (bit_pos - n_bits + 1); + } + } + else + { + /* Generate a string of zeroes. */ + if (n_bits >= bit_pos) + { + res_ptr[limb_pos--] = limb; + limb = 0; + bit_pos += BITS_PER_MP_LIMB; + } + } + bit_pos -= n_bits; + ran = random (); + } +} diff --git a/contrib/libgmp/mpn/generic/rshift.c b/contrib/libgmp/mpn/generic/rshift.c new file mode 100644 index 0000000..804f9be --- /dev/null +++ b/contrib/libgmp/mpn/generic/rshift.c @@ -0,0 +1,88 @@ +/* mpn_rshift -- Shift right a low-level natural-number integer. + +Copyright (C) 1991, 1993, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" + +/* Shift U (pointed to by UP and USIZE limbs long) CNT bits to the right + and store the USIZE least significant limbs of the result at WP. + The bits shifted out to the right are returned. + + Argument constraints: + 1. 0 < CNT < BITS_PER_MP_LIMB + 2. If the result is to be written over the input, WP must be <= UP. +*/ + +mp_limb_t +#if __STDC__ +mpn_rshift (register mp_ptr wp, + register mp_srcptr up, mp_size_t usize, + register unsigned int cnt) +#else +mpn_rshift (wp, up, usize, cnt) + register mp_ptr wp; + register mp_srcptr up; + mp_size_t usize; + register unsigned int cnt; +#endif +{ + register mp_limb_t high_limb, low_limb; + register unsigned sh_1, sh_2; + register mp_size_t i; + mp_limb_t retval; + +#ifdef DEBUG + if (usize == 0 || cnt == 0) + abort (); +#endif + + sh_1 = cnt; + +#if 0 + if (sh_1 == 0) + { + if (wp != up) + { + /* Copy from low end to high end, to allow specified input/output + overlapping. */ + for (i = 0; i < usize; i++) + wp[i] = up[i]; + } + return usize; + } +#endif + + wp -= 1; + sh_2 = BITS_PER_MP_LIMB - sh_1; + high_limb = up[0]; + retval = high_limb << sh_2; + low_limb = high_limb; + + for (i = 1; i < usize; i++) + { + high_limb = up[i]; + wp[i] = (low_limb >> sh_1) | (high_limb << sh_2); + low_limb = high_limb; + } + wp[i] = low_limb >> sh_1; + + return retval; +} diff --git a/contrib/libgmp/mpn/generic/scan0.c b/contrib/libgmp/mpn/generic/scan0.c new file mode 100644 index 0000000..d6f6580 --- /dev/null +++ b/contrib/libgmp/mpn/generic/scan0.c @@ -0,0 +1,62 @@ +/* mpn_scan0 -- Scan from a given bit position for the next clear bit. + +Copyright (C) 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + +/* Design issues: + 1. What if starting_bit is not within U? Caller's problem? + 2. Bit index should be 'unsigned'? + + Argument constraints: + 1. U must sooner ot later have a limb with a clear bit. + */ + +unsigned long int +#if __STDC__ +mpn_scan0 (register mp_srcptr up, + register unsigned long int starting_bit) +#else +mpn_scan0 (up, starting_bit) + register mp_srcptr up; + register unsigned long int starting_bit; +#endif +{ + mp_size_t starting_word; + mp_limb_t alimb; + int cnt; + mp_srcptr p; + + /* Start at the word implied by STARTING_BIT. */ + starting_word = starting_bit / BITS_PER_MP_LIMB; + p = up + starting_word; + alimb = ~*p++; + + /* Mask off any bits before STARTING_BIT in the first limb. */ + alimb &= - (mp_limb_t) 1 << (starting_bit % BITS_PER_MP_LIMB); + + while (alimb == 0) + alimb = ~*p++; + + count_leading_zeros (cnt, alimb & -alimb); + return (p - up) * BITS_PER_MP_LIMB - 1 - cnt; +} diff --git a/contrib/libgmp/mpn/generic/scan1.c b/contrib/libgmp/mpn/generic/scan1.c new file mode 100644 index 0000000..c95d090 --- /dev/null +++ b/contrib/libgmp/mpn/generic/scan1.c @@ -0,0 +1,62 @@ +/* mpn_scan1 -- Scan from a given bit position for the next set bit. + +Copyright (C) 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + +/* Design issues: + 1. What if starting_bit is not within U? Caller's problem? + 2. Bit index should be 'unsigned'? + + Argument constraints: + 1. U must sooner ot later have a limb != 0. + */ + +unsigned long int +#if __STDC__ +mpn_scan1 (register mp_srcptr up, + register unsigned long int starting_bit) +#else +mpn_scan1 (up, starting_bit) + register mp_srcptr up; + register unsigned long int starting_bit; +#endif +{ + mp_size_t starting_word; + mp_limb_t alimb; + int cnt; + mp_srcptr p; + + /* Start at the word implied by STARTING_BIT. */ + starting_word = starting_bit / BITS_PER_MP_LIMB; + p = up + starting_word; + alimb = *p++; + + /* Mask off any bits before STARTING_BIT in the first limb. */ + alimb &= - (mp_limb_t) 1 << (starting_bit % BITS_PER_MP_LIMB); + + while (alimb == 0) + alimb = *p++; + + count_leading_zeros (cnt, alimb & -alimb); + return (p - up) * BITS_PER_MP_LIMB - 1 - cnt; +} diff --git a/contrib/libgmp/mpn/generic/set_str.c b/contrib/libgmp/mpn/generic/set_str.c new file mode 100644 index 0000000..424fad3 --- /dev/null +++ b/contrib/libgmp/mpn/generic/set_str.c @@ -0,0 +1,154 @@ +/* mpn_set_str (mp_ptr res_ptr, const char *str, size_t str_len, int base) + -- Convert a STR_LEN long base BASE byte string pointed to by STR to a + limb vector pointed to by RES_PTR. Return the number of limbs in + RES_PTR. + +Copyright (C) 1991, 1992, 1993, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" + +mp_size_t +mpn_set_str (xp, str, str_len, base) + mp_ptr xp; + const unsigned char *str; + size_t str_len; + int base; +{ + mp_size_t size; + mp_limb_t big_base; + int indigits_per_limb; + mp_limb_t res_digit; + + big_base = __mp_bases[base].big_base; + indigits_per_limb = __mp_bases[base].chars_per_limb; + +/* size = str_len / indigits_per_limb + 1; */ + + size = 0; + + if ((base & (base - 1)) == 0) + { + /* The base is a power of 2. Read the input string from + least to most significant character/digit. */ + + const unsigned char *s; + int next_bitpos; + int bits_per_indigit = big_base; + + res_digit = 0; + next_bitpos = 0; + + for (s = str + str_len - 1; s >= str; s--) + { + int inp_digit = *s; + + res_digit |= (mp_limb_t) inp_digit << next_bitpos; + next_bitpos += bits_per_indigit; + if (next_bitpos >= BITS_PER_MP_LIMB) + { + xp[size++] = res_digit; + next_bitpos -= BITS_PER_MP_LIMB; + res_digit = inp_digit >> (bits_per_indigit - next_bitpos); + } + } + + if (res_digit != 0) + xp[size++] = res_digit; + } + else + { + /* General case. The base is not a power of 2. */ + + size_t i; + int j; + mp_limb_t cy_limb; + + for (i = indigits_per_limb; i < str_len; i += indigits_per_limb) + { + res_digit = *str++; + if (base == 10) + { /* This is a common case. + Help the compiler to avoid multiplication. */ + for (j = 1; j < indigits_per_limb; j++) + res_digit = res_digit * 10 + *str++; + } + else + { + for (j = 1; j < indigits_per_limb; j++) + res_digit = res_digit * base + *str++; + } + + if (size == 0) + { + if (res_digit != 0) + { + xp[0] = res_digit; + size = 1; + } + } + else + { + cy_limb = mpn_mul_1 (xp, xp, size, big_base); + cy_limb += mpn_add_1 (xp, xp, size, res_digit); + if (cy_limb != 0) + xp[size++] = cy_limb; + } + } + + big_base = base; + res_digit = *str++; + if (base == 10) + { /* This is a common case. + Help the compiler to avoid multiplication. */ + for (j = 1; j < str_len - (i - indigits_per_limb); j++) + { + res_digit = res_digit * 10 + *str++; + big_base *= 10; + } + } + else + { + for (j = 1; j < str_len - (i - indigits_per_limb); j++) + { + res_digit = res_digit * base + *str++; + big_base *= base; + } + } + + if (size == 0) + { + if (res_digit != 0) + { + xp[0] = res_digit; + size = 1; + } + } + else + { + cy_limb = mpn_mul_1 (xp, xp, size, big_base); + cy_limb += mpn_add_1 (xp, xp, size, res_digit); + if (cy_limb != 0) + xp[size++] = cy_limb; + } + } + + return size; +} diff --git a/contrib/libgmp/mpn/generic/sqrtrem.c b/contrib/libgmp/mpn/generic/sqrtrem.c new file mode 100644 index 0000000..539480d --- /dev/null +++ b/contrib/libgmp/mpn/generic/sqrtrem.c @@ -0,0 +1,498 @@ +/* mpn_sqrtrem (root_ptr, rem_ptr, op_ptr, op_size) + + Write the square root of {OP_PTR, OP_SIZE} at ROOT_PTR. + Write the remainder at REM_PTR, if REM_PTR != NULL. + Return the size of the remainder. + (The size of the root is always half of the size of the operand.) + + OP_PTR and ROOT_PTR may not point to the same object. + OP_PTR and REM_PTR may point to the same object. + + If REM_PTR is NULL, only the root is computed and the return value of + the function is 0 if OP is a perfect square, and *any* non-zero number + otherwise. + +Copyright (C) 1993, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +/* This code is just correct if "unsigned char" has at least 8 bits. It + doesn't help to use CHAR_BIT from limits.h, as the real problem is + the static arrays. */ + +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + +/* Square root algorithm: + + 1. Shift OP (the input) to the left an even number of bits s.t. there + are an even number of words and either (or both) of the most + significant bits are set. This way, sqrt(OP) has exactly half as + many words as OP, and has its most significant bit set. + + 2. Get a 9-bit approximation to sqrt(OP) using the pre-computed tables. + This approximation is used for the first single-precision + iterations of Newton's method, yielding a full-word approximation + to sqrt(OP). + + 3. Perform multiple-precision Newton iteration until we have the + exact result. Only about half of the input operand is used in + this calculation, as the square root is perfectly determinable + from just the higher half of a number. */ + +/* Define this macro for IEEE P854 machines with a fast sqrt instruction. */ +#if defined __GNUC__ && ! defined __SOFT_FLOAT + +#if defined __sparc__ +#define SQRT(a) \ + ({ \ + double __sqrt_res; \ + asm ("fsqrtd %1,%0" : "=f" (__sqrt_res) : "f" (a)); \ + __sqrt_res; \ + }) +#endif + +#if defined __HAVE_68881__ +#define SQRT(a) \ + ({ \ + double __sqrt_res; \ + asm ("fsqrtx %1,%0" : "=f" (__sqrt_res) : "f" (a)); \ + __sqrt_res; \ + }) +#endif + +#if defined __hppa +#define SQRT(a) \ + ({ \ + double __sqrt_res; \ + asm ("fsqrt,dbl %1,%0" : "=fx" (__sqrt_res) : "fx" (a)); \ + __sqrt_res; \ + }) +#endif + +#if defined _ARCH_PWR2 +#define SQRT(a) \ + ({ \ + double __sqrt_res; \ + asm ("fsqrt %0,%1" : "=f" (__sqrt_res) : "f" (a)); \ + __sqrt_res; \ + }) +#endif + +#endif + +#ifndef SQRT + +/* Tables for initial approximation of the square root. These are + indexed with bits 1-8 of the operand for which the square root is + calculated, where bit 0 is the most significant non-zero bit. I.e. + the most significant one-bit is not used, since that per definition + is one. Likewise, the tables don't return the highest bit of the + result. That bit must be inserted by or:ing the returned value with + 0x100. This way, we get a 9-bit approximation from 8-bit tables! */ + +/* Table to be used for operands with an even total number of bits. + (Exactly as in the decimal system there are similarities between the + square root of numbers with the same initial digits and an even + difference in the total number of digits. Consider the square root + of 1, 10, 100, 1000, ...) */ +static unsigned char even_approx_tab[256] = +{ + 0x6a, 0x6a, 0x6b, 0x6c, 0x6c, 0x6d, 0x6e, 0x6e, + 0x6f, 0x70, 0x71, 0x71, 0x72, 0x73, 0x73, 0x74, + 0x75, 0x75, 0x76, 0x77, 0x77, 0x78, 0x79, 0x79, + 0x7a, 0x7b, 0x7b, 0x7c, 0x7d, 0x7d, 0x7e, 0x7f, + 0x80, 0x80, 0x81, 0x81, 0x82, 0x83, 0x83, 0x84, + 0x85, 0x85, 0x86, 0x87, 0x87, 0x88, 0x89, 0x89, + 0x8a, 0x8b, 0x8b, 0x8c, 0x8d, 0x8d, 0x8e, 0x8f, + 0x8f, 0x90, 0x90, 0x91, 0x92, 0x92, 0x93, 0x94, + 0x94, 0x95, 0x96, 0x96, 0x97, 0x97, 0x98, 0x99, + 0x99, 0x9a, 0x9b, 0x9b, 0x9c, 0x9c, 0x9d, 0x9e, + 0x9e, 0x9f, 0xa0, 0xa0, 0xa1, 0xa1, 0xa2, 0xa3, + 0xa3, 0xa4, 0xa4, 0xa5, 0xa6, 0xa6, 0xa7, 0xa7, + 0xa8, 0xa9, 0xa9, 0xaa, 0xaa, 0xab, 0xac, 0xac, + 0xad, 0xad, 0xae, 0xaf, 0xaf, 0xb0, 0xb0, 0xb1, + 0xb2, 0xb2, 0xb3, 0xb3, 0xb4, 0xb5, 0xb5, 0xb6, + 0xb6, 0xb7, 0xb7, 0xb8, 0xb9, 0xb9, 0xba, 0xba, + 0xbb, 0xbb, 0xbc, 0xbd, 0xbd, 0xbe, 0xbe, 0xbf, + 0xc0, 0xc0, 0xc1, 0xc1, 0xc2, 0xc2, 0xc3, 0xc3, + 0xc4, 0xc5, 0xc5, 0xc6, 0xc6, 0xc7, 0xc7, 0xc8, + 0xc9, 0xc9, 0xca, 0xca, 0xcb, 0xcb, 0xcc, 0xcc, + 0xcd, 0xce, 0xce, 0xcf, 0xcf, 0xd0, 0xd0, 0xd1, + 0xd1, 0xd2, 0xd3, 0xd3, 0xd4, 0xd4, 0xd5, 0xd5, + 0xd6, 0xd6, 0xd7, 0xd7, 0xd8, 0xd9, 0xd9, 0xda, + 0xda, 0xdb, 0xdb, 0xdc, 0xdc, 0xdd, 0xdd, 0xde, + 0xde, 0xdf, 0xe0, 0xe0, 0xe1, 0xe1, 0xe2, 0xe2, + 0xe3, 0xe3, 0xe4, 0xe4, 0xe5, 0xe5, 0xe6, 0xe6, + 0xe7, 0xe7, 0xe8, 0xe8, 0xe9, 0xea, 0xea, 0xeb, + 0xeb, 0xec, 0xec, 0xed, 0xed, 0xee, 0xee, 0xef, + 0xef, 0xf0, 0xf0, 0xf1, 0xf1, 0xf2, 0xf2, 0xf3, + 0xf3, 0xf4, 0xf4, 0xf5, 0xf5, 0xf6, 0xf6, 0xf7, + 0xf7, 0xf8, 0xf8, 0xf9, 0xf9, 0xfa, 0xfa, 0xfb, + 0xfb, 0xfc, 0xfc, 0xfd, 0xfd, 0xfe, 0xfe, 0xff, +}; + +/* Table to be used for operands with an odd total number of bits. + (Further comments before previous table.) */ +static unsigned char odd_approx_tab[256] = +{ + 0x00, 0x00, 0x00, 0x01, 0x01, 0x02, 0x02, 0x03, + 0x03, 0x04, 0x04, 0x05, 0x05, 0x06, 0x06, 0x07, + 0x07, 0x08, 0x08, 0x09, 0x09, 0x0a, 0x0a, 0x0b, + 0x0b, 0x0c, 0x0c, 0x0d, 0x0d, 0x0e, 0x0e, 0x0f, + 0x0f, 0x10, 0x10, 0x10, 0x11, 0x11, 0x12, 0x12, + 0x13, 0x13, 0x14, 0x14, 0x15, 0x15, 0x16, 0x16, + 0x16, 0x17, 0x17, 0x18, 0x18, 0x19, 0x19, 0x1a, + 0x1a, 0x1b, 0x1b, 0x1b, 0x1c, 0x1c, 0x1d, 0x1d, + 0x1e, 0x1e, 0x1f, 0x1f, 0x20, 0x20, 0x20, 0x21, + 0x21, 0x22, 0x22, 0x23, 0x23, 0x23, 0x24, 0x24, + 0x25, 0x25, 0x26, 0x26, 0x27, 0x27, 0x27, 0x28, + 0x28, 0x29, 0x29, 0x2a, 0x2a, 0x2a, 0x2b, 0x2b, + 0x2c, 0x2c, 0x2d, 0x2d, 0x2d, 0x2e, 0x2e, 0x2f, + 0x2f, 0x30, 0x30, 0x30, 0x31, 0x31, 0x32, 0x32, + 0x32, 0x33, 0x33, 0x34, 0x34, 0x35, 0x35, 0x35, + 0x36, 0x36, 0x37, 0x37, 0x37, 0x38, 0x38, 0x39, + 0x39, 0x39, 0x3a, 0x3a, 0x3b, 0x3b, 0x3b, 0x3c, + 0x3c, 0x3d, 0x3d, 0x3d, 0x3e, 0x3e, 0x3f, 0x3f, + 0x40, 0x40, 0x40, 0x41, 0x41, 0x41, 0x42, 0x42, + 0x43, 0x43, 0x43, 0x44, 0x44, 0x45, 0x45, 0x45, + 0x46, 0x46, 0x47, 0x47, 0x47, 0x48, 0x48, 0x49, + 0x49, 0x49, 0x4a, 0x4a, 0x4b, 0x4b, 0x4b, 0x4c, + 0x4c, 0x4c, 0x4d, 0x4d, 0x4e, 0x4e, 0x4e, 0x4f, + 0x4f, 0x50, 0x50, 0x50, 0x51, 0x51, 0x51, 0x52, + 0x52, 0x53, 0x53, 0x53, 0x54, 0x54, 0x54, 0x55, + 0x55, 0x56, 0x56, 0x56, 0x57, 0x57, 0x57, 0x58, + 0x58, 0x59, 0x59, 0x59, 0x5a, 0x5a, 0x5a, 0x5b, + 0x5b, 0x5b, 0x5c, 0x5c, 0x5d, 0x5d, 0x5d, 0x5e, + 0x5e, 0x5e, 0x5f, 0x5f, 0x60, 0x60, 0x60, 0x61, + 0x61, 0x61, 0x62, 0x62, 0x62, 0x63, 0x63, 0x63, + 0x64, 0x64, 0x65, 0x65, 0x65, 0x66, 0x66, 0x66, + 0x67, 0x67, 0x67, 0x68, 0x68, 0x68, 0x69, 0x69, +}; +#endif + + +mp_size_t +#if __STDC__ +mpn_sqrtrem (mp_ptr root_ptr, mp_ptr rem_ptr, mp_srcptr op_ptr, mp_size_t op_size) +#else +mpn_sqrtrem (root_ptr, rem_ptr, op_ptr, op_size) + mp_ptr root_ptr; + mp_ptr rem_ptr; + mp_srcptr op_ptr; + mp_size_t op_size; +#endif +{ + /* R (root result) */ + mp_ptr rp; /* Pointer to least significant word */ + mp_size_t rsize; /* The size in words */ + + /* T (OP shifted to the left a.k.a. normalized) */ + mp_ptr tp; /* Pointer to least significant word */ + mp_size_t tsize; /* The size in words */ + mp_ptr t_end_ptr; /* Pointer right beyond most sign. word */ + mp_limb_t t_high0, t_high1; /* The two most significant words */ + + /* TT (temporary for numerator/remainder) */ + mp_ptr ttp; /* Pointer to least significant word */ + + /* X (temporary for quotient in main loop) */ + mp_ptr xp; /* Pointer to least significant word */ + mp_size_t xsize; /* The size in words */ + + unsigned cnt; + mp_limb_t initial_approx; /* Initially made approximation */ + mp_size_t tsizes[BITS_PER_MP_LIMB]; /* Successive calculation precisions */ + mp_size_t tmp; + mp_size_t i; + + mp_limb_t cy_limb; + TMP_DECL (marker); + + /* If OP is zero, both results are zero. */ + if (op_size == 0) + return 0; + + count_leading_zeros (cnt, op_ptr[op_size - 1]); + tsize = op_size; + if ((tsize & 1) != 0) + { + cnt += BITS_PER_MP_LIMB; + tsize++; + } + + rsize = tsize / 2; + rp = root_ptr; + + TMP_MARK (marker); + + /* Shift OP an even number of bits into T, such that either the most or + the second most significant bit is set, and such that the number of + words in T becomes even. This way, the number of words in R=sqrt(OP) + is exactly half as many as in OP, and the most significant bit of R + is set. + + Also, the initial approximation is simplified by this up-shifted OP. + + Finally, the Newtonian iteration which is the main part of this + program performs division by R. The fast division routine expects + the divisor to be "normalized" in exactly the sense of having the + most significant bit set. */ + + tp = (mp_ptr) TMP_ALLOC (tsize * BYTES_PER_MP_LIMB); + + if ((cnt & ~1) % BITS_PER_MP_LIMB != 0) + t_high0 = mpn_lshift (tp + cnt / BITS_PER_MP_LIMB, op_ptr, op_size, + (cnt & ~1) % BITS_PER_MP_LIMB); + else + MPN_COPY (tp + cnt / BITS_PER_MP_LIMB, op_ptr, op_size); + + if (cnt >= BITS_PER_MP_LIMB) + tp[0] = 0; + + t_high0 = tp[tsize - 1]; + t_high1 = tp[tsize - 2]; /* Never stray. TSIZE is >= 2. */ + +/* Is there a fast sqrt instruction defined for this machine? */ +#ifdef SQRT + { + initial_approx = SQRT (t_high0 * 2.0 + * ((mp_limb_t) 1 << (BITS_PER_MP_LIMB - 1)) + + t_high1); + /* If t_high0,,t_high1 is big, the result in INITIAL_APPROX might have + become incorrect due to overflow in the conversion from double to + mp_limb_t above. It will typically be zero in that case, but might be + a small number on some machines. The most significant bit of + INITIAL_APPROX should be set, so that bit is a good overflow + indication. */ + if ((mp_limb_signed_t) initial_approx >= 0) + initial_approx = ~(mp_limb_t)0; + } +#else + /* Get a 9 bit approximation from the tables. The tables expect to + be indexed with the 8 high bits right below the highest bit. + Also, the highest result bit is not returned by the tables, and + must be or:ed into the result. The scheme gives 9 bits of start + approximation with just 256-entry 8 bit tables. */ + + if ((cnt & 1) == 0) + { + /* The most sign bit of t_high0 is set. */ + initial_approx = t_high0 >> (BITS_PER_MP_LIMB - 8 - 1); + initial_approx &= 0xff; + initial_approx = even_approx_tab[initial_approx]; + } + else + { + /* The most significant bit of T_HIGH0 is unset, + the second most significant is set. */ + initial_approx = t_high0 >> (BITS_PER_MP_LIMB - 8 - 2); + initial_approx &= 0xff; + initial_approx = odd_approx_tab[initial_approx]; + } + initial_approx |= 0x100; + initial_approx <<= BITS_PER_MP_LIMB - 8 - 1; + + /* Perform small precision Newtonian iterations to get a full word + approximation. For small operands, these iteration will make the + entire job. */ + if (t_high0 == ~(mp_limb_t)0) + initial_approx = t_high0; + else + { + mp_limb_t quot; + + if (t_high0 >= initial_approx) + initial_approx = t_high0 + 1; + + /* First get about 18 bits with pure C arithmetics. */ + quot = t_high0 / (initial_approx >> BITS_PER_MP_LIMB/2) << BITS_PER_MP_LIMB/2; + initial_approx = (initial_approx + quot) / 2; + initial_approx |= (mp_limb_t) 1 << (BITS_PER_MP_LIMB - 1); + + /* Now get a full word by one (or for > 36 bit machines) several + iterations. */ + for (i = 16; i < BITS_PER_MP_LIMB; i <<= 1) + { + mp_limb_t ignored_remainder; + + udiv_qrnnd (quot, ignored_remainder, + t_high0, t_high1, initial_approx); + initial_approx = (initial_approx + quot) / 2; + initial_approx |= (mp_limb_t) 1 << (BITS_PER_MP_LIMB - 1); + } + } +#endif + + rp[0] = initial_approx; + rsize = 1; + +#ifdef DEBUG + printf ("\n\nT = "); + mpn_dump (tp, tsize); +#endif + + if (tsize > 2) + { + /* Determine the successive precisions to use in the iteration. We + minimize the precisions, beginning with the highest (i.e. last + iteration) to the lowest (i.e. first iteration). */ + + xp = (mp_ptr) TMP_ALLOC (tsize * BYTES_PER_MP_LIMB); + ttp = (mp_ptr) TMP_ALLOC (tsize * BYTES_PER_MP_LIMB); + + t_end_ptr = tp + tsize; + + tmp = tsize / 2; + for (i = 0;; i++) + { + tsize = (tmp + 1) / 2; + if (tmp == tsize) + break; + tsizes[i] = tsize + tmp; + tmp = tsize; + } + + /* Main Newton iteration loop. For big arguments, most of the + time is spent here. */ + + /* It is possible to do a great optimization here. The successive + divisors in the mpn_divmod call below has more and more leading + words equal to its predecessor. Therefore the beginning of + each division will repeat the same work as did the last + division. If we could guarantee that the leading words of two + consecutive divisors are the same (i.e. in this case, a later + divisor has just more digits at the end) it would be a simple + matter of just using the old remainder of the last division in + a subsequent division, to take care of this optimization. This + idea would surely make a difference even for small arguments. */ + + /* Loop invariants: + + R <= shiftdown_to_same_size(floor(sqrt(OP))) < R + 1. + X - 1 < shiftdown_to_same_size(floor(sqrt(OP))) <= X. + R <= shiftdown_to_same_size(X). */ + + while (--i >= 0) + { + mp_limb_t cy; +#ifdef DEBUG + mp_limb_t old_least_sign_r = rp[0]; + mp_size_t old_rsize = rsize; + + printf ("R = "); + mpn_dump (rp, rsize); +#endif + tsize = tsizes[i]; + + /* Need to copy the numerator into temporary space, as + mpn_divmod overwrites its numerator argument with the + remainder (which we currently ignore). */ + MPN_COPY (ttp, t_end_ptr - tsize, tsize); + cy = mpn_divmod (xp, ttp, tsize, rp, rsize); + xsize = tsize - rsize; + +#ifdef DEBUG + printf ("X =%d ", cy); + mpn_dump (xp, xsize); +#endif + + /* Add X and R with the most significant limbs aligned, + temporarily ignoring at least one limb at the low end of X. */ + tmp = xsize - rsize; + cy += mpn_add_n (xp + tmp, rp, xp + tmp, rsize); + + /* If T begins with more than 2 x BITS_PER_MP_LIMB of ones, we get + intermediate roots that'd need an extra bit. We don't want to + handle that since it would make the subsequent divisor + non-normalized, so round such roots down to be only ones in the + current precision. */ + if (cy == 2) + { + mp_size_t j; + for (j = xsize; j >= 0; j--) + xp[j] = ~(mp_limb_t)0; + } + + /* Divide X by 2 and put the result in R. This is the new + approximation. Shift in the carry from the addition. */ + mpn_rshift (rp, xp, xsize, 1); + rp[xsize - 1] |= ((mp_limb_t) 1 << (BITS_PER_MP_LIMB - 1)); + rsize = xsize; +#ifdef DEBUG + if (old_least_sign_r != rp[rsize - old_rsize]) + printf (">>>>>>>> %d: %0*lX, %0*lX <<<<<<<<\n", + i, 2 * BYTES_PER_MP_LIMB, old_least_sign_r, + 2 * BYTES_PER_MP_LIMB, rp[rsize - old_rsize]); +#endif + } + } + +#ifdef DEBUG + printf ("(final) R = "); + mpn_dump (rp, rsize); +#endif + + /* We computed the square root of OP * 2**(2*floor(cnt/2)). + This has resulted in R being 2**floor(cnt/2) to large. + Shift it down here to fix that. */ + if (cnt / 2 != 0) + { + mpn_rshift (rp, rp, rsize, cnt/2); + rsize -= rp[rsize - 1] == 0; + } + + /* Calculate the remainder. */ + mpn_mul_n (tp, rp, rp, rsize); + tsize = rsize + rsize; + tsize -= tp[tsize - 1] == 0; + if (op_size < tsize + || (op_size == tsize && mpn_cmp (op_ptr, tp, op_size) < 0)) + { + /* R is too large. Decrement it. */ + + /* These operations can't overflow. */ + cy_limb = mpn_sub_n (tp, tp, rp, rsize); + cy_limb += mpn_sub_n (tp, tp, rp, rsize); + mpn_sub_1 (tp + rsize, tp + rsize, tsize - rsize, cy_limb); + mpn_add_1 (tp, tp, tsize, (mp_limb_t) 1); + + mpn_sub_1 (rp, rp, rsize, (mp_limb_t) 1); + +#ifdef DEBUG + printf ("(adjusted) R = "); + mpn_dump (rp, rsize); +#endif + } + + if (rem_ptr != NULL) + { + cy_limb = mpn_sub (rem_ptr, op_ptr, op_size, tp, tsize); + MPN_NORMALIZE (rem_ptr, op_size); + TMP_FREE (marker); + return op_size; + } + else + { + int res; + res = op_size != tsize || mpn_cmp (op_ptr, tp, op_size); + TMP_FREE (marker); + return res; + } +} diff --git a/contrib/libgmp/mpn/generic/sub_n.c b/contrib/libgmp/mpn/generic/sub_n.c new file mode 100644 index 0000000..9d4b216 --- /dev/null +++ b/contrib/libgmp/mpn/generic/sub_n.c @@ -0,0 +1,62 @@ +/* mpn_sub_n -- Subtract two limb vectors of equal, non-zero length. + +Copyright (C) 1992, 1993, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" + +mp_limb_t +#if __STDC__ +mpn_sub_n (mp_ptr res_ptr, mp_srcptr s1_ptr, mp_srcptr s2_ptr, mp_size_t size) +#else +mpn_sub_n (res_ptr, s1_ptr, s2_ptr, size) + register mp_ptr res_ptr; + register mp_srcptr s1_ptr; + register mp_srcptr s2_ptr; + mp_size_t size; +#endif +{ + register mp_limb_t x, y, cy; + register mp_size_t j; + + /* The loop counter and index J goes from -SIZE to -1. This way + the loop becomes faster. */ + j = -size; + + /* Offset the base pointers to compensate for the negative indices. */ + s1_ptr -= j; + s2_ptr -= j; + res_ptr -= j; + + cy = 0; + do + { + y = s2_ptr[j]; + x = s1_ptr[j]; + y += cy; /* add previous carry to subtrahend */ + cy = (y < cy); /* get out carry from that addition */ + y = x - y; /* main subtract */ + cy = (y > x) + cy; /* get out carry from the subtract, combine */ + res_ptr[j] = y; + } + while (++j != 0); + + return cy; +} diff --git a/contrib/libgmp/mpn/generic/submul_1.c b/contrib/libgmp/mpn/generic/submul_1.c new file mode 100644 index 0000000..b144283 --- /dev/null +++ b/contrib/libgmp/mpn/generic/submul_1.c @@ -0,0 +1,65 @@ +/* mpn_submul_1 -- multiply the S1_SIZE long limb vector pointed to by S1_PTR + by S2_LIMB, subtract the S1_SIZE least significant limbs of the product + from the limb vector pointed to by RES_PTR. Return the most significant + limb of the product, adjusted for carry-out from the subtraction. + +Copyright (C) 1992, 1993, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + +mp_limb_t +mpn_submul_1 (res_ptr, s1_ptr, s1_size, s2_limb) + register mp_ptr res_ptr; + register mp_srcptr s1_ptr; + mp_size_t s1_size; + register mp_limb_t s2_limb; +{ + register mp_limb_t cy_limb; + register mp_size_t j; + register mp_limb_t prod_high, prod_low; + register mp_limb_t x; + + /* The loop counter and index J goes from -SIZE to -1. This way + the loop becomes faster. */ + j = -s1_size; + + /* Offset the base pointers to compensate for the negative indices. */ + res_ptr -= j; + s1_ptr -= j; + + cy_limb = 0; + do + { + umul_ppmm (prod_high, prod_low, s1_ptr[j], s2_limb); + + prod_low += cy_limb; + cy_limb = (prod_low < cy_limb) + prod_high; + + x = res_ptr[j]; + prod_low = x - prod_low; + cy_limb += (prod_low > x); + res_ptr[j] = prod_low; + } + while (++j != 0); + + return cy_limb; +} diff --git a/contrib/libgmp/mpn/generic/udiv_w_sdiv.c b/contrib/libgmp/mpn/generic/udiv_w_sdiv.c new file mode 100644 index 0000000..d9e71b7 --- /dev/null +++ b/contrib/libgmp/mpn/generic/udiv_w_sdiv.c @@ -0,0 +1,125 @@ +/* mpn_udiv_w_sdiv -- implement udiv_qrnnd on machines with only signed + division. + + Contributed by Peter L. Montgomery. + +Copyright (C) 1992, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + +mp_limb_t +mpn_udiv_w_sdiv (rp, a1, a0, d) + mp_limb_t *rp, a1, a0, d; +{ + mp_limb_t q, r; + mp_limb_t c0, c1, b1; + + if ((mp_limb_signed_t) d >= 0) + { + if (a1 < d - a1 - (a0 >> (BITS_PER_MP_LIMB - 1))) + { + /* dividend, divisor, and quotient are nonnegative */ + sdiv_qrnnd (q, r, a1, a0, d); + } + else + { + /* Compute c1*2^32 + c0 = a1*2^32 + a0 - 2^31*d */ + sub_ddmmss (c1, c0, a1, a0, d >> 1, d << (BITS_PER_MP_LIMB - 1)); + /* Divide (c1*2^32 + c0) by d */ + sdiv_qrnnd (q, r, c1, c0, d); + /* Add 2^31 to quotient */ + q += (mp_limb_t) 1 << (BITS_PER_MP_LIMB - 1); + } + } + else + { + b1 = d >> 1; /* d/2, between 2^30 and 2^31 - 1 */ + c1 = a1 >> 1; /* A/2 */ + c0 = (a1 << (BITS_PER_MP_LIMB - 1)) + (a0 >> 1); + + if (a1 < b1) /* A < 2^32*b1, so A/2 < 2^31*b1 */ + { + sdiv_qrnnd (q, r, c1, c0, b1); /* (A/2) / (d/2) */ + + r = 2*r + (a0 & 1); /* Remainder from A/(2*b1) */ + if ((d & 1) != 0) + { + if (r >= q) + r = r - q; + else if (q - r <= d) + { + r = r - q + d; + q--; + } + else + { + r = r - q + 2*d; + q -= 2; + } + } + } + else if (c1 < b1) /* So 2^31 <= (A/2)/b1 < 2^32 */ + { + c1 = (b1 - 1) - c1; + c0 = ~c0; /* logical NOT */ + + sdiv_qrnnd (q, r, c1, c0, b1); /* (A/2) / (d/2) */ + + q = ~q; /* (A/2)/b1 */ + r = (b1 - 1) - r; + + r = 2*r + (a0 & 1); /* A/(2*b1) */ + + if ((d & 1) != 0) + { + if (r >= q) + r = r - q; + else if (q - r <= d) + { + r = r - q + d; + q--; + } + else + { + r = r - q + 2*d; + q -= 2; + } + } + } + else /* Implies c1 = b1 */ + { /* Hence a1 = d - 1 = 2*b1 - 1 */ + if (a0 >= -d) + { + q = -1; + r = a0 + d; + } + else + { + q = -2; + r = a0 + 2*d; + } + } + } + + *rp = r; + return q; +} diff --git a/contrib/libgmp/mpn/mp_bases.c b/contrib/libgmp/mpn/mp_bases.c new file mode 100644 index 0000000..bbe39b0 --- /dev/null +++ b/contrib/libgmp/mpn/mp_bases.c @@ -0,0 +1,549 @@ +/* __mp_bases -- Structure for conversion between internal binary + format and strings in base 2..255. The fields are explained in + gmp-impl.h. + + +Copyright (C) 1991, 1993, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +#include "gmp.h" +#include "gmp-impl.h" + +#if BITS_PER_MP_LIMB == 32 +const struct bases __mp_bases[256] = +{ + /* 0 */ {0, 0.0, 0, 0}, + /* 1 */ {0, 1e38, 0, 0}, + /* 2 */ {32, 1.00000000, 0x1, 0x0}, + /* 3 */ {20, 0.63092975, 0xcfd41b91, 0x3b563c24}, + /* 4 */ {16, 0.50000000, 0x2, 0x0}, + /* 5 */ {13, 0.43067656, 0x48c27395, 0xc25c2684}, + /* 6 */ {12, 0.38685281, 0x81bf1000, 0xf91bd1b6}, + /* 7 */ {11, 0.35620719, 0x75db9c97, 0x1607a2cb}, + /* 8 */ {10, 0.33333333, 0x3, 0x0}, + /* 9 */ {10, 0.31546488, 0xcfd41b91, 0x3b563c24}, + /* 10 */ {9, 0.30103000, 0x3b9aca00, 0x12e0be82}, + /* 11 */ {9, 0.28906483, 0x8c8b6d2b, 0xd24cde04}, + /* 12 */ {8, 0.27894295, 0x19a10000, 0x3fa39ab5}, + /* 13 */ {8, 0.27023815, 0x309f1021, 0x50f8ac5f}, + /* 14 */ {8, 0.26264954, 0x57f6c100, 0x74843b1e}, + /* 15 */ {8, 0.25595802, 0x98c29b81, 0xad0326c2}, + /* 16 */ {8, 0.25000000, 0x4, 0x0}, + /* 17 */ {7, 0.24465054, 0x18754571, 0x4ef0b6bd}, + /* 18 */ {7, 0.23981247, 0x247dbc80, 0xc0fc48a1}, + /* 19 */ {7, 0.23540891, 0x3547667b, 0x33838942}, + /* 20 */ {7, 0.23137821, 0x4c4b4000, 0xad7f29ab}, + /* 21 */ {7, 0.22767025, 0x6b5a6e1d, 0x313c3d15}, + /* 22 */ {7, 0.22424382, 0x94ace180, 0xb8cca9e0}, + /* 23 */ {7, 0.22106473, 0xcaf18367, 0x42ed6de9}, + /* 24 */ {6, 0.21810429, 0xb640000, 0x67980e0b}, + /* 25 */ {6, 0.21533828, 0xe8d4a51, 0x19799812}, + /* 26 */ {6, 0.21274605, 0x1269ae40, 0xbce85396}, + /* 27 */ {6, 0.21030992, 0x17179149, 0x62c103a9}, + /* 28 */ {6, 0.20801460, 0x1cb91000, 0x1d353d43}, + /* 29 */ {6, 0.20584683, 0x23744899, 0xce1decea}, + /* 30 */ {6, 0.20379505, 0x2b73a840, 0x790fc511}, + /* 31 */ {6, 0.20184909, 0x34e63b41, 0x35b865a0}, + /* 32 */ {6, 0.20000000, 0x5, 0x0}, + /* 33 */ {6, 0.19823986, 0x4cfa3cc1, 0xa9aed1b3}, + /* 34 */ {6, 0.19656163, 0x5c13d840, 0x63dfc229}, + /* 35 */ {6, 0.19495902, 0x6d91b519, 0x2b0fee30}, + /* 36 */ {6, 0.19342640, 0x81bf1000, 0xf91bd1b6}, + /* 37 */ {6, 0.19195872, 0x98ede0c9, 0xac89c3a9}, + /* 38 */ {6, 0.19055141, 0xb3773e40, 0x6d2c32fe}, + /* 39 */ {6, 0.18920036, 0xd1bbc4d1, 0x387907c9}, + /* 40 */ {6, 0.18790182, 0xf4240000, 0xc6f7a0b}, + /* 41 */ {5, 0.18665241, 0x6e7d349, 0x28928154}, + /* 42 */ {5, 0.18544902, 0x7ca30a0, 0x6e8629d}, + /* 43 */ {5, 0.18428883, 0x8c32bbb, 0xd373dca0}, + /* 44 */ {5, 0.18316925, 0x9d46c00, 0xa0b17895}, + /* 45 */ {5, 0.18208790, 0xaffacfd, 0x746811a5}, + /* 46 */ {5, 0.18104260, 0xc46bee0, 0x4da6500f}, + /* 47 */ {5, 0.18003133, 0xdab86ef, 0x2ba23582}, + /* 48 */ {5, 0.17905223, 0xf300000, 0xdb20a88}, + /* 49 */ {5, 0.17810359, 0x10d63af1, 0xe68d5ce4}, + /* 50 */ {5, 0.17718382, 0x12a05f20, 0xb7cdfd9d}, + /* 51 */ {5, 0.17629143, 0x1490aae3, 0x8e583933}, + /* 52 */ {5, 0.17542506, 0x16a97400, 0x697cc3ea}, + /* 53 */ {5, 0.17458343, 0x18ed2825, 0x48a5ca6c}, + /* 54 */ {5, 0.17376534, 0x1b5e4d60, 0x2b52db16}, + /* 55 */ {5, 0.17296969, 0x1dff8297, 0x111586a6}, + /* 56 */ {5, 0.17219543, 0x20d38000, 0xf31d2b36}, + /* 57 */ {5, 0.17144160, 0x23dd1799, 0xc8d76d19}, + /* 58 */ {5, 0.17070728, 0x271f35a0, 0xa2cb1eb4}, + /* 59 */ {5, 0.16999162, 0x2a9ce10b, 0x807c3ec3}, + /* 60 */ {5, 0.16929381, 0x2e593c00, 0x617ec8bf}, + /* 61 */ {5, 0.16861310, 0x3257844d, 0x45746cbe}, + /* 62 */ {5, 0.16794878, 0x369b13e0, 0x2c0aa273}, + /* 63 */ {5, 0.16730018, 0x3b27613f, 0x14f90805}, + /* 64 */ {5, 0.16666667, 0x6, 0x0}, + /* 65 */ {5, 0.16604765, 0x4528a141, 0xd9cf0829}, + /* 66 */ {5, 0.16544255, 0x4aa51420, 0xb6fc4841}, + /* 67 */ {5, 0.16485086, 0x50794633, 0x973054cb}, + /* 68 */ {5, 0.16427205, 0x56a94400, 0x7a1dbe4b}, + /* 69 */ {5, 0.16370566, 0x5d393975, 0x5f7fcd7f}, + /* 70 */ {5, 0.16315122, 0x642d7260, 0x47196c84}, + /* 71 */ {5, 0.16260831, 0x6b8a5ae7, 0x30b43635}, + /* 72 */ {5, 0.16207652, 0x73548000, 0x1c1fa5f6}, + /* 73 */ {5, 0.16155547, 0x7b908fe9, 0x930634a}, + /* 74 */ {5, 0.16104477, 0x84435aa0, 0xef7f4a3c}, + /* 75 */ {5, 0.16054409, 0x8d71d25b, 0xcf5552d2}, + /* 76 */ {5, 0.16005307, 0x97210c00, 0xb1a47c8e}, + /* 77 */ {5, 0.15957142, 0xa1563f9d, 0x9634b43e}, + /* 78 */ {5, 0.15909881, 0xac16c8e0, 0x7cd3817d}, + /* 79 */ {5, 0.15863496, 0xb768278f, 0x65536761}, + /* 80 */ {5, 0.15817959, 0xc3500000, 0x4f8b588e}, + /* 81 */ {5, 0.15773244, 0xcfd41b91, 0x3b563c24}, + /* 82 */ {5, 0.15729325, 0xdcfa6920, 0x28928154}, + /* 83 */ {5, 0.15686177, 0xeac8fd83, 0x1721bfb0}, + /* 84 */ {5, 0.15643779, 0xf9461400, 0x6e8629d}, + /* 85 */ {4, 0.15602107, 0x31c84b1, 0x491cc17c}, + /* 86 */ {4, 0.15561139, 0x342ab10, 0x3a11d83b}, + /* 87 */ {4, 0.15520856, 0x36a2c21, 0x2be074cd}, + /* 88 */ {4, 0.15481238, 0x3931000, 0x1e7a02e7}, + /* 89 */ {4, 0.15442266, 0x3bd5ee1, 0x11d10edd}, + /* 90 */ {4, 0.15403922, 0x3e92110, 0x5d92c68}, + /* 91 */ {4, 0.15366189, 0x4165ef1, 0xf50dbfb2}, + /* 92 */ {4, 0.15329049, 0x4452100, 0xdf9f1316}, + /* 93 */ {4, 0.15292487, 0x4756fd1, 0xcb52a684}, + /* 94 */ {4, 0.15256487, 0x4a75410, 0xb8163e97}, + /* 95 */ {4, 0.15221035, 0x4dad681, 0xa5d8f269}, + /* 96 */ {4, 0.15186115, 0x5100000, 0x948b0fcd}, + /* 97 */ {4, 0.15151715, 0x546d981, 0x841e0215}, + /* 98 */ {4, 0.15117821, 0x57f6c10, 0x74843b1e}, + /* 99 */ {4, 0.15084420, 0x5b9c0d1, 0x65b11e6e}, + /* 100 */ {4, 0.15051500, 0x5f5e100, 0x5798ee23}, + /* 101 */ {4, 0.15019048, 0x633d5f1, 0x4a30b99b}, + /* 102 */ {4, 0.14987054, 0x673a910, 0x3d6e4d94}, + /* 103 */ {4, 0.14955506, 0x6b563e1, 0x314825b0}, + /* 104 */ {4, 0.14924394, 0x6f91000, 0x25b55f2e}, + /* 105 */ {4, 0.14893706, 0x73eb721, 0x1aadaccb}, + /* 106 */ {4, 0.14863434, 0x7866310, 0x10294ba2}, + /* 107 */ {4, 0.14833567, 0x7d01db1, 0x620f8f6}, + /* 108 */ {4, 0.14804096, 0x81bf100, 0xf91bd1b6}, + /* 109 */ {4, 0.14775011, 0x869e711, 0xe6d37b2a}, + /* 110 */ {4, 0.14746305, 0x8ba0a10, 0xd55cff6e}, + /* 111 */ {4, 0.14717969, 0x90c6441, 0xc4ad2db2}, + /* 112 */ {4, 0.14689994, 0x9610000, 0xb4b985cf}, + /* 113 */ {4, 0.14662372, 0x9b7e7c1, 0xa5782bef}, + /* 114 */ {4, 0.14635096, 0xa112610, 0x96dfdd2a}, + /* 115 */ {4, 0.14608158, 0xa6cc591, 0x88e7e509}, + /* 116 */ {4, 0.14581551, 0xacad100, 0x7b8813d3}, + /* 117 */ {4, 0.14555268, 0xb2b5331, 0x6eb8b595}, + /* 118 */ {4, 0.14529302, 0xb8e5710, 0x627289db}, + /* 119 */ {4, 0.14503647, 0xbf3e7a1, 0x56aebc07}, + /* 120 */ {4, 0.14478295, 0xc5c1000, 0x4b66dc33}, + /* 121 */ {4, 0.14453241, 0xcc6db61, 0x4094d8a3}, + /* 122 */ {4, 0.14428479, 0xd345510, 0x3632f7a5}, + /* 123 */ {4, 0.14404003, 0xda48871, 0x2c3bd1f0}, + /* 124 */ {4, 0.14379807, 0xe178100, 0x22aa4d5f}, + /* 125 */ {4, 0.14355885, 0xe8d4a51, 0x19799812}, + /* 126 */ {4, 0.14332233, 0xf05f010, 0x10a523e5}, + /* 127 */ {4, 0.14308844, 0xf817e01, 0x828a237}, + /* 128 */ {4, 0.14285714, 0x7, 0x0}, + /* 129 */ {4, 0.14262838, 0x10818201, 0xf04ec452}, + /* 130 */ {4, 0.14240211, 0x11061010, 0xe136444a}, + /* 131 */ {4, 0.14217828, 0x118db651, 0xd2af9589}, + /* 132 */ {4, 0.14195685, 0x12188100, 0xc4b42a83}, + /* 133 */ {4, 0.14173777, 0x12a67c71, 0xb73dccf5}, + /* 134 */ {4, 0.14152100, 0x1337b510, 0xaa4698c5}, + /* 135 */ {4, 0.14130649, 0x13cc3761, 0x9dc8f729}, + /* 136 */ {4, 0.14109421, 0x14641000, 0x91bf9a30}, + /* 137 */ {4, 0.14088412, 0x14ff4ba1, 0x86257887}, + /* 138 */ {4, 0.14067617, 0x159df710, 0x7af5c98c}, + /* 139 */ {4, 0.14047033, 0x16401f31, 0x702c01a0}, + /* 140 */ {4, 0.14026656, 0x16e5d100, 0x65c3ceb1}, + /* 141 */ {4, 0.14006482, 0x178f1991, 0x5bb91502}, + /* 142 */ {4, 0.13986509, 0x183c0610, 0x5207ec23}, + /* 143 */ {4, 0.13966731, 0x18eca3c1, 0x48ac9c19}, + /* 144 */ {4, 0.13947147, 0x19a10000, 0x3fa39ab5}, + /* 145 */ {4, 0.13927753, 0x1a592841, 0x36e98912}, + /* 146 */ {4, 0.13908545, 0x1b152a10, 0x2e7b3140}, + /* 147 */ {4, 0.13889521, 0x1bd51311, 0x2655840b}, + /* 148 */ {4, 0.13870677, 0x1c98f100, 0x1e7596ea}, + /* 149 */ {4, 0.13852011, 0x1d60d1b1, 0x16d8a20d}, + /* 150 */ {4, 0.13833519, 0x1e2cc310, 0xf7bfe87}, + /* 151 */ {4, 0.13815199, 0x1efcd321, 0x85d2492}, + /* 152 */ {4, 0.13797047, 0x1fd11000, 0x179a9f4}, + /* 153 */ {4, 0.13779062, 0x20a987e1, 0xf59e80eb}, + /* 154 */ {4, 0.13761241, 0x21864910, 0xe8b768db}, + /* 155 */ {4, 0.13743580, 0x226761f1, 0xdc39d6d5}, + /* 156 */ {4, 0.13726078, 0x234ce100, 0xd021c5d1}, + /* 157 */ {4, 0.13708732, 0x2436d4d1, 0xc46b5e37}, + /* 158 */ {4, 0.13691539, 0x25254c10, 0xb912f39c}, + /* 159 */ {4, 0.13674498, 0x26185581, 0xae150294}, + /* 160 */ {4, 0.13657605, 0x27100000, 0xa36e2eb1}, + /* 161 */ {4, 0.13640859, 0x280c5a81, 0x991b4094}, + /* 162 */ {4, 0.13624257, 0x290d7410, 0x8f19241e}, + /* 163 */ {4, 0.13607797, 0x2a135bd1, 0x8564e6b7}, + /* 164 */ {4, 0.13591477, 0x2b1e2100, 0x7bfbb5b4}, + /* 165 */ {4, 0.13575295, 0x2c2dd2f1, 0x72dadcc8}, + /* 166 */ {4, 0.13559250, 0x2d428110, 0x69ffc498}, + /* 167 */ {4, 0.13543338, 0x2e5c3ae1, 0x6167f154}, + /* 168 */ {4, 0.13527558, 0x2f7b1000, 0x5911016e}, + /* 169 */ {4, 0.13511908, 0x309f1021, 0x50f8ac5f}, + /* 170 */ {4, 0.13496386, 0x31c84b10, 0x491cc17c}, + /* 171 */ {4, 0.13480991, 0x32f6d0b1, 0x417b26d8}, + /* 172 */ {4, 0.13465720, 0x342ab100, 0x3a11d83b}, + /* 173 */ {4, 0.13450572, 0x3563fc11, 0x32dee622}, + /* 174 */ {4, 0.13435545, 0x36a2c210, 0x2be074cd}, + /* 175 */ {4, 0.13420637, 0x37e71341, 0x2514bb58}, + /* 176 */ {4, 0.13405847, 0x39310000, 0x1e7a02e7}, + /* 177 */ {4, 0.13391173, 0x3a8098c1, 0x180ea5d0}, + /* 178 */ {4, 0.13376614, 0x3bd5ee10, 0x11d10edd}, + /* 179 */ {4, 0.13362168, 0x3d311091, 0xbbfb88e}, + /* 180 */ {4, 0.13347832, 0x3e921100, 0x5d92c68}, + /* 181 */ {4, 0.13333607, 0x3ff90031, 0x1c024c}, + /* 182 */ {4, 0.13319491, 0x4165ef10, 0xf50dbfb2}, + /* 183 */ {4, 0.13305481, 0x42d8eea1, 0xea30efa3}, + /* 184 */ {4, 0.13291577, 0x44521000, 0xdf9f1316}, + /* 185 */ {4, 0.13277777, 0x45d16461, 0xd555c0c9}, + /* 186 */ {4, 0.13264079, 0x4756fd10, 0xcb52a684}, + /* 187 */ {4, 0.13250483, 0x48e2eb71, 0xc193881f}, + /* 188 */ {4, 0.13236988, 0x4a754100, 0xb8163e97}, + /* 189 */ {4, 0.13223591, 0x4c0e0f51, 0xaed8b724}, + /* 190 */ {4, 0.13210292, 0x4dad6810, 0xa5d8f269}, + /* 191 */ {4, 0.13197089, 0x4f535d01, 0x9d15039d}, + /* 192 */ {4, 0.13183981, 0x51000000, 0x948b0fcd}, + /* 193 */ {4, 0.13170967, 0x52b36301, 0x8c394d1d}, + /* 194 */ {4, 0.13158046, 0x546d9810, 0x841e0215}, + /* 195 */ {4, 0.13145216, 0x562eb151, 0x7c3784f8}, + /* 196 */ {4, 0.13132477, 0x57f6c100, 0x74843b1e}, + /* 197 */ {4, 0.13119827, 0x59c5d971, 0x6d02985d}, + /* 198 */ {4, 0.13107265, 0x5b9c0d10, 0x65b11e6e}, + /* 199 */ {4, 0.13094791, 0x5d796e61, 0x5e8e5c64}, + /* 200 */ {4, 0.13082402, 0x5f5e1000, 0x5798ee23}, + /* 201 */ {4, 0.13070099, 0x614a04a1, 0x50cf7bde}, + /* 202 */ {4, 0.13057879, 0x633d5f10, 0x4a30b99b}, + /* 203 */ {4, 0.13045743, 0x65383231, 0x43bb66bd}, + /* 204 */ {4, 0.13033688, 0x673a9100, 0x3d6e4d94}, + /* 205 */ {4, 0.13021715, 0x69448e91, 0x374842ee}, + /* 206 */ {4, 0.13009822, 0x6b563e10, 0x314825b0}, + /* 207 */ {4, 0.12998007, 0x6d6fb2c1, 0x2b6cde75}, + /* 208 */ {4, 0.12986271, 0x6f910000, 0x25b55f2e}, + /* 209 */ {4, 0.12974613, 0x71ba3941, 0x2020a2c5}, + /* 210 */ {4, 0.12963031, 0x73eb7210, 0x1aadaccb}, + /* 211 */ {4, 0.12951524, 0x7624be11, 0x155b891f}, + /* 212 */ {4, 0.12940092, 0x78663100, 0x10294ba2}, + /* 213 */ {4, 0.12928734, 0x7aafdeb1, 0xb160fe9}, + /* 214 */ {4, 0.12917448, 0x7d01db10, 0x620f8f6}, + /* 215 */ {4, 0.12906235, 0x7f5c3a21, 0x14930ef}, + /* 216 */ {4, 0.12895094, 0x81bf1000, 0xf91bd1b6}, + /* 217 */ {4, 0.12884022, 0x842a70e1, 0xefdcb0c7}, + /* 218 */ {4, 0.12873021, 0x869e7110, 0xe6d37b2a}, + /* 219 */ {4, 0.12862089, 0x891b24f1, 0xddfeb94a}, + /* 220 */ {4, 0.12851224, 0x8ba0a100, 0xd55cff6e}, + /* 221 */ {4, 0.12840428, 0x8e2ef9d1, 0xcceced50}, + /* 222 */ {4, 0.12829698, 0x90c64410, 0xc4ad2db2}, + /* 223 */ {4, 0.12819034, 0x93669481, 0xbc9c75f9}, + /* 224 */ {4, 0.12808435, 0x96100000, 0xb4b985cf}, + /* 225 */ {4, 0.12797901, 0x98c29b81, 0xad0326c2}, + /* 226 */ {4, 0.12787431, 0x9b7e7c10, 0xa5782bef}, + /* 227 */ {4, 0.12777024, 0x9e43b6d1, 0x9e1771a9}, + /* 228 */ {4, 0.12766680, 0xa1126100, 0x96dfdd2a}, + /* 229 */ {4, 0.12756398, 0xa3ea8ff1, 0x8fd05c41}, + /* 230 */ {4, 0.12746176, 0xa6cc5910, 0x88e7e509}, + /* 231 */ {4, 0.12736016, 0xa9b7d1e1, 0x8225759d}, + /* 232 */ {4, 0.12725915, 0xacad1000, 0x7b8813d3}, + /* 233 */ {4, 0.12715874, 0xafac2921, 0x750eccf9}, + /* 234 */ {4, 0.12705891, 0xb2b53310, 0x6eb8b595}, + /* 235 */ {4, 0.12695967, 0xb5c843b1, 0x6884e923}, + /* 236 */ {4, 0.12686100, 0xb8e57100, 0x627289db}, + /* 237 */ {4, 0.12676290, 0xbc0cd111, 0x5c80c07b}, + /* 238 */ {4, 0.12666537, 0xbf3e7a10, 0x56aebc07}, + /* 239 */ {4, 0.12656839, 0xc27a8241, 0x50fbb19b}, + /* 240 */ {4, 0.12647197, 0xc5c10000, 0x4b66dc33}, + /* 241 */ {4, 0.12637609, 0xc91209c1, 0x45ef7c7c}, + /* 242 */ {4, 0.12628075, 0xcc6db610, 0x4094d8a3}, + /* 243 */ {4, 0.12618595, 0xcfd41b91, 0x3b563c24}, + /* 244 */ {4, 0.12609168, 0xd3455100, 0x3632f7a5}, + /* 245 */ {4, 0.12599794, 0xd6c16d31, 0x312a60c3}, + /* 246 */ {4, 0.12590471, 0xda488710, 0x2c3bd1f0}, + /* 247 */ {4, 0.12581200, 0xdddab5a1, 0x2766aa45}, + /* 248 */ {4, 0.12571980, 0xe1781000, 0x22aa4d5f}, + /* 249 */ {4, 0.12562811, 0xe520ad61, 0x1e06233c}, + /* 250 */ {4, 0.12553692, 0xe8d4a510, 0x19799812}, + /* 251 */ {4, 0.12544622, 0xec940e71, 0x15041c33}, + /* 252 */ {4, 0.12535601, 0xf05f0100, 0x10a523e5}, + /* 253 */ {4, 0.12526629, 0xf4359451, 0xc5c2749}, + /* 254 */ {4, 0.12517705, 0xf817e010, 0x828a237}, + /* 255 */ {4, 0.12508829, 0xfc05fc01, 0x40a1423}, +}; +#endif +#if BITS_PER_MP_LIMB == 64 +const struct bases __mp_bases[256] = +{ + /* 0 */ {0, 0.0, 0, 0}, + /* 1 */ {0, 1e38, 0, 0}, + /* 2 */ {64, 1.00000000, 0x1, 0x0}, + /* 3 */ {40, 0.63092975, 0xa8b8b452291fe821L, 0x846d550e37b5063dL}, + /* 4 */ {32, 0.50000000, 0x2L, 0x0L}, + /* 5 */ {27, 0.43067656, 0x6765c793fa10079dL, 0x3ce9a36f23c0fc90L}, + /* 6 */ {24, 0.38685281, 0x41c21cb8e1000000L, 0xf24f62335024a295L}, + /* 7 */ {22, 0.35620719, 0x3642798750226111L, 0x2df495ccaa57147bL}, + /* 8 */ {21, 0.33333333, 0x3L, 0x0L}, + /* 9 */ {20, 0.31546488, 0xa8b8b452291fe821L, 0x846d550e37b5063dL}, + /* 10 */ {19, 0.30103000, 0x8ac7230489e80000L, 0xd83c94fb6d2ac34aL}, + /* 11 */ {18, 0.28906483, 0x4d28cb56c33fa539L, 0xa8adf7ae45e7577bL}, + /* 12 */ {17, 0.27894295, 0x1eca170c00000000L, 0xa10c2bec5da8f8fL}, + /* 13 */ {17, 0.27023815, 0x780c7372621bd74dL, 0x10f4becafe412ec3L}, + /* 14 */ {16, 0.26264954, 0x1e39a5057d810000L, 0xf08480f672b4e86L}, + /* 15 */ {16, 0.25595802, 0x5b27ac993df97701L, 0x6779c7f90dc42f48L}, + /* 16 */ {16, 0.25000000, 0x4L, 0x0L}, + /* 17 */ {15, 0.24465054, 0x27b95e997e21d9f1L, 0x9c71e11bab279323L}, + /* 18 */ {15, 0.23981247, 0x5da0e1e53c5c8000L, 0x5dfaa697ec6f6a1cL}, + /* 19 */ {15, 0.23540891, 0xd2ae3299c1c4aedbL, 0x3711783f6be7e9ecL}, + /* 20 */ {14, 0.23137821, 0x16bcc41e90000000L, 0x6849b86a12b9b01eL}, + /* 21 */ {14, 0.22767025, 0x2d04b7fdd9c0ef49L, 0x6bf097ba5ca5e239L}, + /* 22 */ {14, 0.22424382, 0x5658597bcaa24000L, 0x7b8015c8d7af8f08L}, + /* 23 */ {14, 0.22106473, 0xa0e2073737609371L, 0x975a24b3a3151b38L}, + /* 24 */ {13, 0.21810429, 0xc29e98000000000L, 0x50bd367972689db1L}, + /* 25 */ {13, 0.21533828, 0x14adf4b7320334b9L, 0x8c240c4aecb13bb5L}, + /* 26 */ {13, 0.21274605, 0x226ed36478bfa000L, 0xdbd2e56854e118c9L}, + /* 27 */ {13, 0.21030992, 0x383d9170b85ff80bL, 0x2351ffcaa9c7c4aeL}, + /* 28 */ {13, 0.20801460, 0x5a3c23e39c000000L, 0x6b24188ca33b0636L}, + /* 29 */ {13, 0.20584683, 0x8e65137388122bcdL, 0xcc3dceaf2b8ba99dL}, + /* 30 */ {13, 0.20379505, 0xdd41bb36d259e000L, 0x2832e835c6c7d6b6L}, + /* 31 */ {12, 0.20184909, 0xaee5720ee830681L, 0x76b6aa272e1873c5L}, + /* 32 */ {12, 0.20000000, 0x5L, 0x0L}, + /* 33 */ {12, 0.19823986, 0x172588ad4f5f0981L, 0x61eaf5d402c7bf4fL}, + /* 34 */ {12, 0.19656163, 0x211e44f7d02c1000L, 0xeeb658123ffb27ecL}, + /* 35 */ {12, 0.19495902, 0x2ee56725f06e5c71L, 0x5d5e3762e6fdf509L}, + /* 36 */ {12, 0.19342640, 0x41c21cb8e1000000L, 0xf24f62335024a295L}, + /* 37 */ {12, 0.19195872, 0x5b5b57f8a98a5dd1L, 0x66ae7831762efb6fL}, + /* 38 */ {12, 0.19055141, 0x7dcff8986ea31000L, 0x47388865a00f544L}, + /* 39 */ {12, 0.18920036, 0xabd4211662a6b2a1L, 0x7d673c33a123b54cL}, + /* 40 */ {12, 0.18790182, 0xe8d4a51000000000L, 0x19799812dea11197L}, + /* 41 */ {11, 0.18665241, 0x7a32956ad081b79L, 0xc27e62e0686feaeL}, + /* 42 */ {11, 0.18544902, 0x9f49aaff0e86800L, 0x9b6e7507064ce7c7L}, + /* 43 */ {11, 0.18428883, 0xce583bb812d37b3L, 0x3d9ac2bf66cfed94L}, + /* 44 */ {11, 0.18316925, 0x109b79a654c00000L, 0xed46bc50ce59712aL}, + /* 45 */ {11, 0.18208790, 0x1543beff214c8b95L, 0x813d97e2c89b8d46L}, + /* 46 */ {11, 0.18104260, 0x1b149a79459a3800L, 0x2e81751956af8083L}, + /* 47 */ {11, 0.18003133, 0x224edfb5434a830fL, 0xdd8e0a95e30c0988L}, + /* 48 */ {11, 0.17905223, 0x2b3fb00000000000L, 0x7ad4dd48a0b5b167L}, + /* 49 */ {11, 0.17810359, 0x3642798750226111L, 0x2df495ccaa57147bL}, + /* 50 */ {11, 0.17718382, 0x43c33c1937564800L, 0xe392010175ee5962L}, + /* 51 */ {11, 0.17629143, 0x54411b2441c3cd8bL, 0x84eaf11b2fe7738eL}, + /* 52 */ {11, 0.17542506, 0x6851455acd400000L, 0x3a1e3971e008995dL}, + /* 53 */ {11, 0.17458343, 0x80a23b117c8feb6dL, 0xfd7a462344ffce25L}, + /* 54 */ {11, 0.17376534, 0x9dff7d32d5dc1800L, 0x9eca40b40ebcef8aL}, + /* 55 */ {11, 0.17296969, 0xc155af6faeffe6a7L, 0x52fa161a4a48e43dL}, + /* 56 */ {11, 0.17219543, 0xebb7392e00000000L, 0x1607a2cbacf930c1L}, + /* 57 */ {10, 0.17144160, 0x50633659656d971L, 0x97a014f8e3be55f1L}, + /* 58 */ {10, 0.17070728, 0x5fa8624c7fba400L, 0x568df8b76cbf212cL}, + /* 59 */ {10, 0.16999162, 0x717d9faa73c5679L, 0x20ba7c4b4e6ef492L}, + /* 60 */ {10, 0.16929381, 0x86430aac6100000L, 0xe81ee46b9ef492f5L}, + /* 61 */ {10, 0.16861310, 0x9e64d9944b57f29L, 0x9dc0d10d51940416L}, + /* 62 */ {10, 0.16794878, 0xba5ca5392cb0400L, 0x5fa8ed2f450272a5L}, + /* 63 */ {10, 0.16730018, 0xdab2ce1d022cd81L, 0x2ba9eb8c5e04e641L}, + /* 64 */ {10, 0.16666667, 0x6L, 0x0L}, + /* 65 */ {10, 0.16604765, 0x12aeed5fd3e2d281L, 0xb67759cc00287bf1L}, + /* 66 */ {10, 0.16544255, 0x15c3da1572d50400L, 0x78621feeb7f4ed33L}, + /* 67 */ {10, 0.16485086, 0x194c05534f75ee29L, 0x43d55b5f72943bc0L}, + /* 68 */ {10, 0.16427205, 0x1d56299ada100000L, 0x173decb64d1d4409L}, + /* 69 */ {10, 0.16370566, 0x21f2a089a4ff4f79L, 0xe29fb54fd6b6074fL}, + /* 70 */ {10, 0.16315122, 0x2733896c68d9a400L, 0xa1f1f5c210d54e62L}, + /* 71 */ {10, 0.16260831, 0x2d2cf2c33b533c71L, 0x6aac7f9bfafd57b2L}, + /* 72 */ {10, 0.16207652, 0x33f506e440000000L, 0x3b563c2478b72ee2L}, + /* 73 */ {10, 0.16155547, 0x3ba43bec1d062211L, 0x12b536b574e92d1bL}, + /* 74 */ {10, 0.16104477, 0x4455872d8fd4e400L, 0xdf86c03020404fa5L}, + /* 75 */ {10, 0.16054409, 0x4e2694539f2f6c59L, 0xa34adf02234eea8eL}, + /* 76 */ {10, 0.16005307, 0x5938006c18900000L, 0x6f46eb8574eb59ddL}, + /* 77 */ {10, 0.15957142, 0x65ad9912474aa649L, 0x42459b481df47cecL}, + /* 78 */ {10, 0.15909881, 0x73ae9ff4241ec400L, 0x1b424b95d80ca505L}, + /* 79 */ {10, 0.15863496, 0x836612ee9c4ce1e1L, 0xf2c1b982203a0dacL}, + /* 80 */ {10, 0.15817959, 0x9502f90000000000L, 0xb7cdfd9d7bdbab7dL}, + /* 81 */ {10, 0.15773244, 0xa8b8b452291fe821L, 0x846d550e37b5063dL}, + /* 82 */ {10, 0.15729325, 0xbebf59a07dab4400L, 0x57931eeaf85cf64fL}, + /* 83 */ {10, 0.15686177, 0xd7540d4093bc3109L, 0x305a944507c82f47L}, + /* 84 */ {10, 0.15643779, 0xf2b96616f1900000L, 0xe007ccc9c22781aL}, + /* 85 */ {9, 0.15602107, 0x336de62af2bca35L, 0x3e92c42e000eeed4L}, + /* 86 */ {9, 0.15561139, 0x39235ec33d49600L, 0x1ebe59130db2795eL}, + /* 87 */ {9, 0.15520856, 0x3f674e539585a17L, 0x268859e90f51b89L}, + /* 88 */ {9, 0.15481238, 0x4645b6958000000L, 0xd24cde0463108cfaL}, + /* 89 */ {9, 0.15442266, 0x4dcb74afbc49c19L, 0xa536009f37adc383L}, + /* 90 */ {9, 0.15403922, 0x56064e1d18d9a00L, 0x7cea06ce1c9ace10L}, + /* 91 */ {9, 0.15366189, 0x5f04fe2cd8a39fbL, 0x58db032e72e8ba43L}, + /* 92 */ {9, 0.15329049, 0x68d74421f5c0000L, 0x388cc17cae105447L}, + /* 93 */ {9, 0.15292487, 0x738df1f6ab4827dL, 0x1b92672857620ce0L}, + /* 94 */ {9, 0.15256487, 0x7f3afbc9cfb5e00L, 0x18c6a9575c2ade4L}, + /* 95 */ {9, 0.15221035, 0x8bf187fba88f35fL, 0xd44da7da8e44b24fL}, + /* 96 */ {9, 0.15186115, 0x99c600000000000L, 0xaa2f78f1b4cc6794L}, + /* 97 */ {9, 0.15151715, 0xa8ce21eb6531361L, 0x843c067d091ee4ccL}, + /* 98 */ {9, 0.15117821, 0xb92112c1a0b6200L, 0x62005e1e913356e3L}, + /* 99 */ {9, 0.15084420, 0xcad7718b8747c43L, 0x4316eed01dedd518L}, + /* 100 */ {9, 0.15051500, 0xde0b6b3a7640000L, 0x2725dd1d243aba0eL}, + /* 101 */ {9, 0.15019048, 0xf2d8cf5fe6d74c5L, 0xddd9057c24cb54fL}, + /* 102 */ {9, 0.14987054, 0x1095d25bfa712600L, 0xedeee175a736d2a1L}, + /* 103 */ {9, 0.14955506, 0x121b7c4c3698faa7L, 0xc4699f3df8b6b328L}, + /* 104 */ {9, 0.14924394, 0x13c09e8d68000000L, 0x9ebbe7d859cb5a7cL}, + /* 105 */ {9, 0.14893706, 0x15876ccb0b709ca9L, 0x7c828b9887eb2179L}, + /* 106 */ {9, 0.14863434, 0x17723c2976da2a00L, 0x5d652ab99001adcfL}, + /* 107 */ {9, 0.14833567, 0x198384e9c259048bL, 0x4114f1754e5d7b32L}, + /* 108 */ {9, 0.14804096, 0x1bbde41dfeec0000L, 0x274b7c902f7e0188L}, + /* 109 */ {9, 0.14775011, 0x1e241d6e3337910dL, 0xfc9e0fbb32e210cL}, + /* 110 */ {9, 0.14746305, 0x20b91cee9901ee00L, 0xf4afa3e594f8ea1fL}, + /* 111 */ {9, 0.14717969, 0x237ff9079863dfefL, 0xcd85c32e9e4437b0L}, + /* 112 */ {9, 0.14689994, 0x267bf47000000000L, 0xa9bbb147e0dd92a8L}, + /* 113 */ {9, 0.14662372, 0x29b08039fbeda7f1L, 0x8900447b70e8eb82L}, + /* 114 */ {9, 0.14635096, 0x2d213df34f65f200L, 0x6b0a92adaad5848aL}, + /* 115 */ {9, 0.14608158, 0x30d201d957a7c2d3L, 0x4f990ad8740f0ee5L}, + /* 116 */ {9, 0.14581551, 0x34c6d52160f40000L, 0x3670a9663a8d3610L}, + /* 117 */ {9, 0.14555268, 0x3903f855d8f4c755L, 0x1f5c44188057be3cL}, + /* 118 */ {9, 0.14529302, 0x3d8de5c8ec59b600L, 0xa2bea956c4e4977L}, + /* 119 */ {9, 0.14503647, 0x4269541d1ff01337L, 0xed68b23033c3637eL}, + /* 120 */ {9, 0.14478295, 0x479b38e478000000L, 0xc99cf624e50549c5L}, + /* 121 */ {9, 0.14453241, 0x4d28cb56c33fa539L, 0xa8adf7ae45e7577bL}, + /* 122 */ {9, 0.14428479, 0x5317871fa13aba00L, 0x8a5bc740b1c113e5L}, + /* 123 */ {9, 0.14404003, 0x596d2f44de9fa71bL, 0x6e6c7efb81cfbb9bL}, + /* 124 */ {9, 0.14379807, 0x602fd125c47c0000L, 0x54aba5c5cada5f10L}, + /* 125 */ {9, 0.14355885, 0x6765c793fa10079dL, 0x3ce9a36f23c0fc90L}, + /* 126 */ {9, 0.14332233, 0x6f15be069b847e00L, 0x26fb43de2c8cd2a8L}, + /* 127 */ {9, 0.14308844, 0x7746b3e82a77047fL, 0x12b94793db8486a1L}, + /* 128 */ {9, 0.14285714, 0x7L, 0x0L}, + /* 129 */ {9, 0.14262838, 0x894953f7ea890481L, 0xdd5deca404c0156dL}, + /* 130 */ {9, 0.14240211, 0x932abffea4848200L, 0xbd51373330291de0L}, + /* 131 */ {9, 0.14217828, 0x9dacb687d3d6a163L, 0x9fa4025d66f23085L}, + /* 132 */ {9, 0.14195685, 0xa8d8102a44840000L, 0x842530ee2db4949dL}, + /* 133 */ {9, 0.14173777, 0xb4b60f9d140541e5L, 0x6aa7f2766b03dc25L}, + /* 134 */ {9, 0.14152100, 0xc15065d4856e4600L, 0x53035ba7ebf32e8dL}, + /* 135 */ {9, 0.14130649, 0xceb1363f396d23c7L, 0x3d12091fc9fb4914L}, + /* 136 */ {9, 0.14109421, 0xdce31b2488000000L, 0x28b1cb81b1ef1849L}, + /* 137 */ {9, 0.14088412, 0xebf12a24bca135c9L, 0x15c35be67ae3e2c9L}, + /* 138 */ {9, 0.14067617, 0xfbe6f8dbf88f4a00L, 0x42a17bd09be1ff0L}, + /* 139 */ {8, 0.14047033, 0x1ef156c084ce761L, 0x8bf461f03cf0bbfL}, + /* 140 */ {8, 0.14026656, 0x20c4e3b94a10000L, 0xf3fbb43f68a32d05L}, + /* 141 */ {8, 0.14006482, 0x22b0695a08ba421L, 0xd84f44c48564dc19L}, + /* 142 */ {8, 0.13986509, 0x24b4f35d7a4c100L, 0xbe58ebcce7956abeL}, + /* 143 */ {8, 0.13966731, 0x26d397284975781L, 0xa5fac463c7c134b7L}, + /* 144 */ {8, 0.13947147, 0x290d74100000000L, 0x8f19241e28c7d757L}, + /* 145 */ {8, 0.13927753, 0x2b63b3a37866081L, 0x799a6d046c0ae1aeL}, + /* 146 */ {8, 0.13908545, 0x2dd789f4d894100L, 0x6566e37d746a9e40L}, + /* 147 */ {8, 0.13889521, 0x306a35e51b58721L, 0x526887dbfb5f788fL}, + /* 148 */ {8, 0.13870677, 0x331d01712e10000L, 0x408af3382b8efd3dL}, + /* 149 */ {8, 0.13852011, 0x35f14200a827c61L, 0x2fbb374806ec05f1L}, + /* 150 */ {8, 0.13833519, 0x38e858b62216100L, 0x1fe7c0f0afce87feL}, + /* 151 */ {8, 0.13815199, 0x3c03b2c13176a41L, 0x11003d517540d32eL}, + /* 152 */ {8, 0.13797047, 0x3f44c9b21000000L, 0x2f5810f98eff0dcL}, + /* 153 */ {8, 0.13779062, 0x42ad23cef3113c1L, 0xeb72e35e7840d910L}, + /* 154 */ {8, 0.13761241, 0x463e546b19a2100L, 0xd27de19593dc3614L}, + /* 155 */ {8, 0.13743580, 0x49f9fc3f96684e1L, 0xbaf391fd3e5e6fc2L}, + /* 156 */ {8, 0.13726078, 0x4de1c9c5dc10000L, 0xa4bd38c55228c81dL}, + /* 157 */ {8, 0.13708732, 0x51f77994116d2a1L, 0x8fc5a8de8e1de782L}, + /* 158 */ {8, 0.13691539, 0x563cd6bb3398100L, 0x7bf9265bea9d3a3bL}, + /* 159 */ {8, 0.13674498, 0x5ab3bb270beeb01L, 0x69454b325983dccdL}, + /* 160 */ {8, 0.13657605, 0x5f5e10000000000L, 0x5798ee2308c39df9L}, + /* 161 */ {8, 0.13640859, 0x643dce0ec16f501L, 0x46e40ba0fa66a753L}, + /* 162 */ {8, 0.13624257, 0x6954fe21e3e8100L, 0x3717b0870b0db3a7L}, + /* 163 */ {8, 0.13607797, 0x6ea5b9755f440a1L, 0x2825e6775d11cdebL}, + /* 164 */ {8, 0.13591477, 0x74322a1c0410000L, 0x1a01a1c09d1b4dacL}, + /* 165 */ {8, 0.13575295, 0x79fc8b6ae8a46e1L, 0xc9eb0a8bebc8f3eL}, + /* 166 */ {8, 0.13559250, 0x80072a66d512100L, 0xffe357ff59e6a004L}, + /* 167 */ {8, 0.13543338, 0x86546633b42b9c1L, 0xe7dfd1be05fa61a8L}, + /* 168 */ {8, 0.13527558, 0x8ce6b0861000000L, 0xd11ed6fc78f760e5L}, + /* 169 */ {8, 0.13511908, 0x93c08e16a022441L, 0xbb8db609dd29ebfeL}, + /* 170 */ {8, 0.13496386, 0x9ae49717f026100L, 0xa71aec8d1813d532L}, + /* 171 */ {8, 0.13480991, 0xa25577ae24c1a61L, 0x93b612a9f20fbc02L}, + /* 172 */ {8, 0.13465720, 0xaa15f068e610000L, 0x814fc7b19a67d317L}, + /* 173 */ {8, 0.13450572, 0xb228d6bf7577921L, 0x6fd9a03f2e0a4b7cL}, + /* 174 */ {8, 0.13435545, 0xba91158ef5c4100L, 0x5f4615a38d0d316eL}, + /* 175 */ {8, 0.13420637, 0xc351ad9aec0b681L, 0x4f8876863479a286L}, + /* 176 */ {8, 0.13405847, 0xcc6db6100000000L, 0x4094d8a3041b60ebL}, + /* 177 */ {8, 0.13391173, 0xd5e85d09025c181L, 0x32600b8ed883a09bL}, + /* 178 */ {8, 0.13376614, 0xdfc4e816401c100L, 0x24df8c6eb4b6d1f1L}, + /* 179 */ {8, 0.13362168, 0xea06b4c72947221L, 0x18097a8ee151acefL}, + /* 180 */ {8, 0.13347832, 0xf4b139365210000L, 0xbd48cc8ec1cd8e3L}, + /* 181 */ {8, 0.13333607, 0xffc80497d520961L, 0x3807a8d67485fbL}, + /* 182 */ {8, 0.13319491, 0x10b4ebfca1dee100L, 0xea5768860b62e8d8L}, + /* 183 */ {8, 0.13305481, 0x117492de921fc141L, 0xd54faf5b635c5005L}, + /* 184 */ {8, 0.13291577, 0x123bb2ce41000000L, 0xc14a56233a377926L}, + /* 185 */ {8, 0.13277777, 0x130a8b6157bdecc1L, 0xae39a88db7cd329fL}, + /* 186 */ {8, 0.13264079, 0x13e15dede0e8a100L, 0x9c10bde69efa7ab6L}, + /* 187 */ {8, 0.13250483, 0x14c06d941c0ca7e1L, 0x8ac36c42a2836497L}, + /* 188 */ {8, 0.13236988, 0x15a7ff487a810000L, 0x7a463c8b84f5ef67L}, + /* 189 */ {8, 0.13223591, 0x169859ddc5c697a1L, 0x6a8e5f5ad090fd4bL}, + /* 190 */ {8, 0.13210292, 0x1791c60f6fed0100L, 0x5b91a2943596fc56L}, + /* 191 */ {8, 0.13197089, 0x18948e8c0e6fba01L, 0x4d4667b1c468e8f0L}, + /* 192 */ {8, 0.13183981, 0x19a1000000000000L, 0x3fa39ab547994dafL}, + /* 193 */ {8, 0.13170967, 0x1ab769203dafc601L, 0x32a0a9b2faee1e2aL}, + /* 194 */ {8, 0.13158046, 0x1bd81ab557f30100L, 0x26357ceac0e96962L}, + /* 195 */ {8, 0.13145216, 0x1d0367a69fed1ba1L, 0x1a5a6f65caa5859eL}, + /* 196 */ {8, 0.13132477, 0x1e39a5057d810000L, 0xf08480f672b4e86L}, + /* 197 */ {8, 0.13119827, 0x1f7b2a18f29ac3e1L, 0x4383340615612caL}, + /* 198 */ {8, 0.13107265, 0x20c850694c2aa100L, 0xf3c77969ee4be5a2L}, + /* 199 */ {8, 0.13094791, 0x222173cc014980c1L, 0xe00993cc187c5ec9L}, + /* 200 */ {8, 0.13082402, 0x2386f26fc1000000L, 0xcd2b297d889bc2b6L}, + /* 201 */ {8, 0.13070099, 0x24f92ce8af296d41L, 0xbb214d5064862b22L}, + /* 202 */ {8, 0.13057879, 0x2678863cd0ece100L, 0xa9e1a7ca7ea10e20L}, + /* 203 */ {8, 0.13045743, 0x280563f0a9472d61L, 0x99626e72b39ea0cfL}, + /* 204 */ {8, 0.13033688, 0x29a02e1406210000L, 0x899a5ba9c13fafd9L}, + /* 205 */ {8, 0.13021715, 0x2b494f4efe6d2e21L, 0x7a80a705391e96ffL}, + /* 206 */ {8, 0.13009822, 0x2d0134ef21cbc100L, 0x6c0cfe23de23042aL}, + /* 207 */ {8, 0.12998007, 0x2ec84ef4da2ef581L, 0x5e377df359c944ddL}, + /* 208 */ {8, 0.12986271, 0x309f102100000000L, 0x50f8ac5fc8f53985L}, + /* 209 */ {8, 0.12974613, 0x3285ee02a1420281L, 0x44497266278e35b7L}, + /* 210 */ {8, 0.12963031, 0x347d6104fc324100L, 0x382316831f7ee175L}, + /* 211 */ {8, 0.12951524, 0x3685e47dade53d21L, 0x2c7f377833b8946eL}, + /* 212 */ {8, 0.12940092, 0x389ff6bb15610000L, 0x2157c761ab4163efL}, + /* 213 */ {8, 0.12928734, 0x3acc1912ebb57661L, 0x16a7071803cc49a9L}, + /* 214 */ {8, 0.12917448, 0x3d0acff111946100L, 0xc6781d80f8224fcL}, + /* 215 */ {8, 0.12906235, 0x3f5ca2e692eaf841L, 0x294092d370a900bL}, + /* 216 */ {8, 0.12895094, 0x41c21cb8e1000000L, 0xf24f62335024a295L}, + /* 217 */ {8, 0.12884022, 0x443bcb714399a5c1L, 0xe03b98f103fad6d2L}, + /* 218 */ {8, 0.12873021, 0x46ca406c81af2100L, 0xcee3d32cad2a9049L}, + /* 219 */ {8, 0.12862089, 0x496e106ac22aaae1L, 0xbe3f9df9277fdadaL}, + /* 220 */ {8, 0.12851224, 0x4c27d39fa5410000L, 0xae46f0d94c05e933L}, + /* 221 */ {8, 0.12840428, 0x4ef825c296e43ca1L, 0x9ef2280fb437a33dL}, + /* 222 */ {8, 0.12829698, 0x51dfa61f5ad88100L, 0x9039ff426d3f284bL}, + /* 223 */ {8, 0.12819034, 0x54def7a6d2f16901L, 0x82178c6d6b51f8f4L}, + /* 224 */ {8, 0.12808435, 0x57f6c10000000000L, 0x74843b1ee4c1e053L}, + /* 225 */ {8, 0.12797901, 0x5b27ac993df97701L, 0x6779c7f90dc42f48L}, + /* 226 */ {8, 0.12787431, 0x5e7268b9bbdf8100L, 0x5af23c74f9ad9fe9L}, + /* 227 */ {8, 0.12777024, 0x61d7a7932ff3d6a1L, 0x4ee7eae2acdc617eL}, + /* 228 */ {8, 0.12766680, 0x65581f53c8c10000L, 0x43556aa2ac262a0bL}, + /* 229 */ {8, 0.12756398, 0x68f48a385b8320e1L, 0x3835949593b8ddd1L}, + /* 230 */ {8, 0.12746176, 0x6cada69ed07c2100L, 0x2d837fbe78458762L}, + /* 231 */ {8, 0.12736016, 0x70843718cdbf27c1L, 0x233a7e150a54a555L}, + /* 232 */ {8, 0.12725915, 0x7479027ea1000000L, 0x19561984a50ff8feL}, + /* 233 */ {8, 0.12715874, 0x788cd40268f39641L, 0xfd211159fe3490fL}, + /* 234 */ {8, 0.12705891, 0x7cc07b437ecf6100L, 0x6aa563e655033e3L}, + /* 235 */ {8, 0.12695967, 0x8114cc6220762061L, 0xfbb614b3f2d3b14cL}, + /* 236 */ {8, 0.12686100, 0x858aa0135be10000L, 0xeac0f8837fb05773L}, + /* 237 */ {8, 0.12676290, 0x8a22d3b53c54c321L, 0xda6e4c10e8615ca5L}, + /* 238 */ {8, 0.12666537, 0x8ede496339f34100L, 0xcab755a8d01fa67fL}, + /* 239 */ {8, 0.12656839, 0x93bde80aec3a1481L, 0xbb95a9ae71aa3e0cL}, + /* 240 */ {8, 0.12647197, 0x98c29b8100000000L, 0xad0326c296b4f529L}, + /* 241 */ {8, 0.12637609, 0x9ded549671832381L, 0x9ef9f21eed31b7c1L}, + /* 242 */ {8, 0.12628075, 0xa33f092e0b1ac100L, 0x91747422be14b0b2L}, + /* 243 */ {8, 0.12618595, 0xa8b8b452291fe821L, 0x846d550e37b5063dL}, + /* 244 */ {8, 0.12609168, 0xae5b564ac3a10000L, 0x77df79e9a96c06f6L}, + /* 245 */ {8, 0.12599794, 0xb427f4b3be74c361L, 0x6bc6019636c7d0c2L}, + /* 246 */ {8, 0.12590471, 0xba1f9a938041e100L, 0x601c4205aebd9e47L}, + /* 247 */ {8, 0.12581200, 0xc0435871d1110f41L, 0x54ddc59756f05016L}, + /* 248 */ {8, 0.12571980, 0xc694446f01000000L, 0x4a0648979c838c18L}, + /* 249 */ {8, 0.12562811, 0xcd137a5b57ac3ec1L, 0x3f91b6e0bb3a053dL}, + /* 250 */ {8, 0.12553692, 0xd3c21bcecceda100L, 0x357c299a88ea76a5L}, + /* 251 */ {8, 0.12544622, 0xdaa150410b788de1L, 0x2bc1e517aecc56e3L}, + /* 252 */ {8, 0.12535601, 0xe1b24521be010000L, 0x225f56ceb3da9f5dL}, + /* 253 */ {8, 0.12526629, 0xe8f62df12777c1a1L, 0x1951136d53ad63acL}, + /* 254 */ {8, 0.12517705, 0xf06e445906fc0100L, 0x1093d504b3cd7d93L}, + /* 255 */ {8, 0.12508829, 0xf81bc845c81bf801L, 0x824794d1ec1814fL}, +}; +#endif diff --git a/contrib/libgmp/mpn/tests/add_n.c b/contrib/libgmp/mpn/tests/add_n.c new file mode 100644 index 0000000..c27d347 --- /dev/null +++ b/contrib/libgmp/mpn/tests/add_n.c @@ -0,0 +1,211 @@ +#include <stdio.h> +#include "gmp.h" +#include "gmp-impl.h" + +#ifndef USG +#include <sys/time.h> +#include <sys/resource.h> + +unsigned long +cputime () +{ + struct rusage rus; + + getrusage (0, &rus); + return rus.ru_utime.tv_sec * 1000 + rus.ru_utime.tv_usec / 1000; +} +#else +#include <time.h> + +#ifndef CLOCKS_PER_SEC +#define CLOCKS_PER_SEC 1000000 +#endif + +#if CLOCKS_PER_SEC >= 10000 +#define CLOCK_TO_MILLISEC(cl) ((cl) / (CLOCKS_PER_SEC / 1000)) +#else +#define CLOCK_TO_MILLISEC(cl) ((cl) * 1000 / CLOCKS_PER_SEC) +#endif + +unsigned long +cputime () +{ + return CLOCK_TO_MILLISEC (clock ()); +} +#endif + +#define M * 1000000 + +#ifndef CLOCK +#if defined (__m88k__) +#define CLOCK 20 M +#elif defined (__i386__) +#define CLOCK (16.666667 M) +#elif defined (__m68k__) +#define CLOCK (20 M) +#elif defined (_IBMR2) +#define CLOCK (25 M) +#elif defined (__sparc__) +#define CLOCK (20 M) +#elif defined (__sun__) +#define CLOCK (20 M) +#elif defined (__mips) +#define CLOCK (40 M) +#elif defined (__hppa__) +#define CLOCK (50 M) +#elif defined (__alpha) +#define CLOCK (133 M) +#else +#error "Don't know CLOCK of your machine" +#endif +#endif + +#ifndef OPS +#define OPS 10000000 +#endif +#ifndef SIZE +#define SIZE 328 +#endif +#ifndef TIMES +#define TIMES OPS/SIZE +#else +#undef OPS +#define OPS (SIZE*TIMES) +#endif + + +mp_limb_t +#if __STDC__ +refmpn_add_n (mp_ptr res_ptr, + mp_srcptr s1_ptr, mp_srcptr s2_ptr, mp_size_t size) +#else +refmpn_add_n (res_ptr, s1_ptr, s2_ptr, size) + register mp_ptr res_ptr; + register mp_srcptr s1_ptr; + register mp_srcptr s2_ptr; + mp_size_t size; +#endif +{ + register mp_limb_t x, y, cy; + register mp_size_t j; + + /* The loop counter and index J goes from -SIZE to -1. This way + the loop becomes faster. */ + j = -size; + + /* Offset the base pointers to compensate for the negative indices. */ + s1_ptr -= j; + s2_ptr -= j; + res_ptr -= j; + + cy = 0; + do + { + y = s2_ptr[j]; + x = s1_ptr[j]; + y += cy; /* add previous carry to one addend */ + cy = (y < cy); /* get out carry from that addition */ + y = x + y; /* add other addend */ + cy = (y < x) + cy; /* get out carry from that add, combine */ + res_ptr[j] = y; + } + while (++j != 0); + + return cy; +} + +main (argc, argv) + int argc; + char **argv; +{ + mp_limb_t s1[SIZE]; + mp_limb_t s2[SIZE]; + mp_limb_t dx[SIZE+1]; + mp_limb_t dy[SIZE+1]; + int cyx, cyy; + int i; + long t0, t; + int test; + mp_size_t size; + + for (test = 0; ; test++) + { +#ifdef RANDOM + size = (random () % SIZE + 1); +#else + size = SIZE; +#endif + + mpn_random2 (s1, size); + mpn_random2 (s2, size); + + dx[size] = 0x12345678; + dy[size] = 0x12345678; + +#ifdef PRINT + mpn_print (s1, size); + mpn_print (s2, size); +#endif + t0 = cputime(); + for (i = 0; i < TIMES; i++) + cyx = refmpn_add_n (dx, s1, s2, size); + t = cputime() - t0; +#if TIMES != 1 + printf ("refmpn_add_n: %ldms (%.2f cycles/limb)\n", + t, + ((double) t * CLOCK) / (OPS * 1000.0)); +#endif +#ifdef PRINT + printf ("%d ", cyx); mpn_print (dx, size); +#endif + + t0 = cputime(); + for (i = 0; i < TIMES; i++) + cyx = mpn_add_n (dx, s1, s2, size); + t = cputime() - t0; +#if TIMES != 1 + printf ("mpn_add_n: %ldms (%.2f cycles/limb)\n", + t, + ((double) t * CLOCK) / (OPS * 1000.0)); +#endif +#ifdef PRINT + printf ("%d ", cyx); mpn_print (dx, size); +#endif + +#ifndef NOCHECK + /* Put garbage in the destination. */ + for (i = 0; i < size; i++) + { + dx[i] = 0x7654321; + dy[i] = 0x1234567; + } + + cyx = refmpn_add_n (dx, s1, s2, size); + cyy = mpn_add_n (dy, s1, s2, size); + if (cyx != cyy || mpn_cmp (dx, dy, size) != 0 + || dx[size] != 0x12345678 || dy[size] != 0x12345678) + { +#ifndef PRINT + printf ("%d ", cyx); mpn_print (dx, size); + printf ("%d ", cyy); mpn_print (dy, size); +#endif + abort(); + } +#endif + } +} + +mpn_print (mp_ptr p, mp_size_t size) +{ + mp_size_t i; + + for (i = size - 1; i >= 0; i--) + { + printf ("%0*lX", (int) (2 * sizeof(mp_limb_t)), p[i]); +#ifdef SPACE + if (i != 0) + printf (" "); +#endif + } + puts (""); +} diff --git a/contrib/libgmp/mpn/tests/addmul_1.c b/contrib/libgmp/mpn/tests/addmul_1.c new file mode 100644 index 0000000..23952a1 --- /dev/null +++ b/contrib/libgmp/mpn/tests/addmul_1.c @@ -0,0 +1,223 @@ +#include <stdio.h> +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + +#ifndef USG +#include <sys/time.h> +#include <sys/resource.h> + +unsigned long +cputime () +{ + struct rusage rus; + + getrusage (0, &rus); + return rus.ru_utime.tv_sec * 1000 + rus.ru_utime.tv_usec / 1000; +} +#else +#include <time.h> + +#ifndef CLOCKS_PER_SEC +#define CLOCKS_PER_SEC 1000000 +#endif + +#if CLOCKS_PER_SEC >= 10000 +#define CLOCK_TO_MILLISEC(cl) ((cl) / (CLOCKS_PER_SEC / 1000)) +#else +#define CLOCK_TO_MILLISEC(cl) ((cl) * 1000 / CLOCKS_PER_SEC) +#endif + +unsigned long +cputime () +{ + return CLOCK_TO_MILLISEC (clock ()); +} +#endif + +#define M * 1000000 + +#ifndef CLOCK +#if defined (__m88k__) +#define CLOCK 20 M +#elif defined (__i386__) +#define CLOCK (16.666667 M) +#elif defined (__m68k__) +#define CLOCK (20 M) +#elif defined (_IBMR2) +#define CLOCK (25 M) +#elif defined (__sparc__) +#define CLOCK (20 M) +#elif defined (__sun__) +#define CLOCK (20 M) +#elif defined (__mips) +#define CLOCK (40 M) +#elif defined (__hppa__) +#define CLOCK (50 M) +#elif defined (__alpha) +#define CLOCK (133 M) +#else +#error "Don't know CLOCK of your machine" +#endif +#endif + +#ifndef OPS +#define OPS 20000000 +#endif +#ifndef SIZE +#define SIZE 496 +#endif +#ifndef TIMES +#define TIMES OPS/SIZE +#else +#undef OPS +#define OPS (SIZE*TIMES) +#endif + +mp_limb_t +refmpn_addmul_1 (res_ptr, s1_ptr, s1_size, s2_limb) + register mp_ptr res_ptr; + register mp_srcptr s1_ptr; + mp_size_t s1_size; + register mp_limb_t s2_limb; +{ + register mp_limb_t cy_limb; + register mp_size_t j; + register mp_limb_t prod_high, prod_low; + register mp_limb_t x; + + /* The loop counter and index J goes from -SIZE to -1. This way + the loop becomes faster. */ + j = -s1_size; + + /* Offset the base pointers to compensate for the negative indices. */ + res_ptr -= j; + s1_ptr -= j; + + cy_limb = 0; + do + { + umul_ppmm (prod_high, prod_low, s1_ptr[j], s2_limb); + + prod_low += cy_limb; + cy_limb = (prod_low < cy_limb) + prod_high; + + x = res_ptr[j]; + prod_low = x + prod_low; + cy_limb += (prod_low < x); + res_ptr[j] = prod_low; + } + while (++j != 0); + + return cy_limb; +} + +main (argc, argv) + int argc; + char **argv; +{ + mp_limb_t s1[SIZE]; + mp_limb_t dx[SIZE+2]; + mp_limb_t dy[SIZE+2]; + mp_limb_t cyx, cyy; + int i; + long t0, t; + int test; + mp_limb_t xlimb; + mp_size_t size; + double cyc; + + for (test = 0; ; test++) + { +#ifdef RANDOM + size = (random () % SIZE + 1); +#else + size = SIZE; +#endif + + mpn_random2 (s1, size); + mpn_random2 (dy+1, size); + + if (random () % 0x100 == 0) + xlimb = 0; + else + mpn_random2 (&xlimb, 1); + + dy[size+1] = 0x12345678; + dy[0] = 0x87654321; + +#if defined (PRINT) || defined (XPRINT) + printf ("xlimb=%*lX\n", (int) (2 * sizeof(mp_limb_t)), xlimb); +#endif +#ifdef PRINT + mpn_print (dy+1, size); + mpn_print (s1, size); +#endif + + MPN_COPY (dx, dy, size+2); + t0 = cputime(); + for (i = 0; i < TIMES; i++) + cyx = refmpn_addmul_1 (dx+1, s1, size, xlimb); + t = cputime() - t0; +#if TIMES != 1 + cyc = ((double) t * CLOCK) / (OPS * 1000.0); + printf ("refmpn_addmul_1: %5ldms (%.2f cycles/limb) [%.2f Gb/s]\n", + t, + cyc, + CLOCK/cyc*BITS_PER_MP_LIMB*BITS_PER_MP_LIMB); +#endif + + MPN_COPY (dx, dy, size+2); + t0 = cputime(); + for (i = 0; i < TIMES; i++) + cyy = mpn_addmul_1 (dx+1, s1, size, xlimb); + t = cputime() - t0; +#if TIMES != 1 + cyc = ((double) t * CLOCK) / (OPS * 1000.0); + printf ("mpn_addmul_1: %5ldms (%.2f cycles/limb) [%.2f Gb/s]\n", + t, + cyc, + CLOCK/cyc*BITS_PER_MP_LIMB*BITS_PER_MP_LIMB); +#endif + + MPN_COPY (dx, dy, size+2); + cyx = refmpn_addmul_1 (dx+1, s1, size, xlimb); + cyy = mpn_addmul_1 (dy+1, s1, size, xlimb); + +#ifdef PRINT + printf ("%*lX ", (int) (2 * sizeof(mp_limb_t)), cyx); + mpn_print (dx+1, size); + printf ("%*lX ", (int) (2 * sizeof(mp_limb_t)), cyy); + mpn_print (dy+1, size); +#endif + +#ifndef NOCHECK + if (cyx != cyy || mpn_cmp (dx, dy, size+2) != 0 + || dx[size+1] != 0x12345678 || dx[0] != 0x87654321) + { +#ifndef PRINT + printf ("%*lX ", (int) (2 * sizeof(mp_limb_t)), cyx); + mpn_print (dx+1, size); + printf ("%*lX ", (int) (2 * sizeof(mp_limb_t)), cyy); + mpn_print (dy+1, size); +#endif + abort(); + } +#endif + } +} + +mpn_print (mp_ptr p, mp_size_t size) +{ + mp_size_t i; + + for (i = size - 1; i >= 0; i--) + { + printf ("%0*lX", (int) (2 * sizeof(mp_limb_t)), p[i]); +#ifdef SPACE + if (i != 0) + printf (" "); +#endif + } + puts (""); +} diff --git a/contrib/libgmp/mpn/tests/divmod_1.c b/contrib/libgmp/mpn/tests/divmod_1.c new file mode 100644 index 0000000..f6b541e --- /dev/null +++ b/contrib/libgmp/mpn/tests/divmod_1.c @@ -0,0 +1,120 @@ +#include <stdio.h> +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + +#ifndef USG +#include <sys/time.h> +#include <sys/resource.h> + +unsigned long +cputime () +{ + struct rusage rus; + + getrusage (0, &rus); + return rus.ru_utime.tv_sec * 1000 + rus.ru_utime.tv_usec / 1000; +} +#else +#include <time.h> + +#ifndef CLOCKS_PER_SEC +#define CLOCKS_PER_SEC 1000000 +#endif + +#if CLOCKS_PER_SEC >= 10000 +#define CLOCK_TO_MILLISEC(cl) ((cl) / (CLOCKS_PER_SEC / 1000)) +#else +#define CLOCK_TO_MILLISEC(cl) ((cl) * 1000 / CLOCKS_PER_SEC) +#endif + +unsigned long +cputime () +{ + return CLOCK_TO_MILLISEC (clock ()); +} +#endif + +#define M * 1000000 + +#ifndef CLOCK +#if defined (__m88k__) +#define CLOCK 20 M +#elif defined (__i386__) +#define CLOCK (16.666667 M) +#elif defined (__m68k__) +#define CLOCK (20 M) +#elif defined (_IBMR2) +#define CLOCK (25 M) +#elif defined (__sparc__) +#define CLOCK (20 M) +#elif defined (__sun__) +#define CLOCK (20 M) +#elif defined (__mips) +#define CLOCK (40 M) +#elif defined (__hppa__) +#define CLOCK (50 M) +#elif defined (__alpha) +#define CLOCK (133 M) +#else +#error "Don't know CLOCK of your machine" +#endif +#endif + +#ifndef OPS +#define OPS 20000000 +#endif +#ifndef SIZE +#define SIZE 1000 +#endif +#ifndef TIMES +#define TIMES OPS/SIZE +#else +#undef OPS +#define OPS (SIZE*TIMES) +#endif + +main () +{ + mp_limb_t nptr[SIZE]; + mp_limb_t qptr[SIZE]; + mp_limb_t pptr[SIZE]; + mp_limb_t dlimb, rlimb, plimb; + mp_size_t nsize, qsize, psize; + int test; + + for (test = 0; ; test++) + { +#ifdef RANDOM + nsize = random () % SIZE + 1; +#else + nsize = SIZE; +#endif + + mpn_random2 (nptr, nsize); + + mpn_random2 (&dlimb, 1); + if (dlimb == 0) + abort (); + + rlimb = mpn_divmod_1 (qptr, nptr, nsize, dlimb); + qsize = nsize - (qptr[nsize - 1] == 0); + if (qsize == 0) + { + plimb = rlimb; + psize = qsize; + } + else + { + plimb = mpn_mul_1 (pptr, qptr, qsize, dlimb); + psize = qsize; + plimb += mpn_add_1 (pptr, pptr, psize, rlimb); + } + if (plimb != 0) + pptr[psize++] = plimb; + + + if (nsize != psize || mpn_cmp (nptr, pptr, nsize) != 0) + abort (); + } +} diff --git a/contrib/libgmp/mpn/tests/divrem.c b/contrib/libgmp/mpn/tests/divrem.c new file mode 100644 index 0000000..6eafc99 --- /dev/null +++ b/contrib/libgmp/mpn/tests/divrem.c @@ -0,0 +1,129 @@ +#include <stdio.h> +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + +#ifndef USG +#include <sys/time.h> +#include <sys/resource.h> + +unsigned long +cputime () +{ + struct rusage rus; + + getrusage (0, &rus); + return rus.ru_utime.tv_sec * 1000 + rus.ru_utime.tv_usec / 1000; +} +#else +#include <time.h> + +#ifndef CLOCKS_PER_SEC +#define CLOCKS_PER_SEC 1000000 +#endif + +#if CLOCKS_PER_SEC >= 10000 +#define CLOCK_TO_MILLISEC(cl) ((cl) / (CLOCKS_PER_SEC / 1000)) +#else +#define CLOCK_TO_MILLISEC(cl) ((cl) * 1000 / CLOCKS_PER_SEC) +#endif + +unsigned long +cputime () +{ + return CLOCK_TO_MILLISEC (clock ()); +} +#endif + +#define M * 1000000 + +#ifndef CLOCK +#if defined (__m88k__) +#define CLOCK 20 M +#elif defined (__i386__) +#define CLOCK (16.666667 M) +#elif defined (__m68k__) +#define CLOCK (20 M) +#elif defined (_IBMR2) +#define CLOCK (25 M) +#elif defined (__sparc__) +#define CLOCK (20 M) +#elif defined (__sun__) +#define CLOCK (20 M) +#elif defined (__mips) +#define CLOCK (40 M) +#elif defined (__hppa__) +#define CLOCK (50 M) +#elif defined (__alpha) +#define CLOCK (133 M) +#else +#error "Don't know CLOCK of your machine" +#endif +#endif + +#ifndef OPS +#define OPS 20000000 +#endif +#ifndef SIZE +#define SIZE 100 +#endif +#ifndef TIMES +#define TIMES OPS/SIZE +#else +#undef OPS +#define OPS (SIZE*TIMES) +#endif + +main () +{ + mp_limb_t nptr[2 * SIZE]; + mp_limb_t dptr[SIZE]; + mp_limb_t qptr[2 * SIZE]; + mp_limb_t pptr[2 * SIZE]; + mp_limb_t rptr[2 * SIZE]; + mp_size_t nsize, dsize, qsize, rsize, psize; + int test; + mp_limb_t qlimb; + + for (test = 0; ; test++) + { +#ifdef RANDOM + nsize = random () % (2 * SIZE) + 1; + dsize = random () % nsize + 1; +#else + nsize = 2 * SIZE; + dsize = SIZE; +#endif + + mpn_random2 (nptr, nsize); + mpn_random2 (dptr, dsize); + dptr[dsize - 1] |= (mp_limb_t) 1 << (BITS_PER_MP_LIMB - 1); + + MPN_COPY (rptr, nptr, nsize); + qlimb = mpn_divrem (qptr, (mp_size_t) 0, rptr, nsize, dptr, dsize); + rsize = dsize; + qsize = nsize - dsize; + qptr[qsize] = qlimb; + qsize += qlimb; + if (qsize == 0 || qsize > 2 * SIZE) + { + continue; /* bogus */ + } + else + { + mp_limb_t cy; + if (qsize > dsize) + mpn_mul (pptr, qptr, qsize, dptr, dsize); + else + mpn_mul (pptr, dptr, dsize, qptr, qsize); + psize = qsize + dsize; + psize -= pptr[psize - 1] == 0; + cy = mpn_add (pptr, pptr, psize, rptr, rsize); + pptr[psize] = cy; + psize += cy; + } + + if (nsize != psize || mpn_cmp (nptr, pptr, nsize) != 0) + abort (); + } +} diff --git a/contrib/libgmp/mpn/tests/lshift.c b/contrib/libgmp/mpn/tests/lshift.c new file mode 100644 index 0000000..f50c5dc --- /dev/null +++ b/contrib/libgmp/mpn/tests/lshift.c @@ -0,0 +1,226 @@ +#include <stdio.h> +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + +#ifndef USG +#include <sys/time.h> +#include <sys/resource.h> + +unsigned long +cputime () +{ + struct rusage rus; + + getrusage (0, &rus); + return rus.ru_utime.tv_sec * 1000 + rus.ru_utime.tv_usec / 1000; +} +#else +#include <time.h> + +#ifndef CLOCKS_PER_SEC +#define CLOCKS_PER_SEC 1000000 +#endif + +#if CLOCKS_PER_SEC >= 10000 +#define CLOCK_TO_MILLISEC(cl) ((cl) / (CLOCKS_PER_SEC / 1000)) +#else +#define CLOCK_TO_MILLISEC(cl) ((cl) * 1000 / CLOCKS_PER_SEC) +#endif + +unsigned long +cputime () +{ + return CLOCK_TO_MILLISEC (clock ()); +} +#endif + +#define M * 1000000 + +#ifndef CLOCK +#if defined (__m88k__) +#define CLOCK 20 M +#elif defined (__i386__) +#define CLOCK (16.666667 M) +#elif defined (__m68k__) +#define CLOCK (20 M) +#elif defined (_IBMR2) +#define CLOCK (25 M) +#elif defined (__sparc__) +#define CLOCK (20 M) +#elif defined (__sun__) +#define CLOCK (20 M) +#elif defined (__mips) +#define CLOCK (40 M) +#elif defined (__hppa__) +#define CLOCK (50 M) +#elif defined (__alpha) +#define CLOCK (133 M) +#else +#error "Don't know CLOCK of your machine" +#endif +#endif + +#ifndef OPS +#define OPS 10000000 +#endif +#ifndef SIZE +#define SIZE 496 +#endif +#ifndef TIMES +#define TIMES OPS/SIZE +#else +#undef OPS +#define OPS (SIZE*TIMES) +#endif + +mp_limb_t +refmpn_lshift (wp, up, usize, cnt) + register mp_ptr wp; + register mp_srcptr up; + mp_size_t usize; + register unsigned int cnt; +{ + register mp_limb_t high_limb, low_limb; + register unsigned sh_1, sh_2; + register mp_size_t i; + mp_limb_t retval; + +#ifdef DEBUG + if (usize == 0 || cnt == 0) + abort (); +#endif + + sh_1 = cnt; +#if 0 + if (sh_1 == 0) + { + if (wp != up) + { + /* Copy from high end to low end, to allow specified input/output + overlapping. */ + for (i = usize - 1; i >= 0; i--) + wp[i] = up[i]; + } + return 0; + } +#endif + + wp += 1; + sh_2 = BITS_PER_MP_LIMB - sh_1; + i = usize - 1; + low_limb = up[i]; + retval = low_limb >> sh_2; + high_limb = low_limb; + while (--i >= 0) + { + low_limb = up[i]; + wp[i] = (high_limb << sh_1) | (low_limb >> sh_2); + high_limb = low_limb; + } + wp[i] = high_limb << sh_1; + + return retval; +} + +#ifndef CNT +#define CNT 4 +#endif + +main (argc, argv) + int argc; + char **argv; +{ + mp_limb_t s1[SIZE]; + mp_limb_t dx[SIZE+2]; + mp_limb_t dy[SIZE+2]; + mp_limb_t cyx, cyy; + int i; + long t0, t; + int test; + int cnt = CNT; + mp_size_t size; + + for (test = 0; ; test++) + { +#ifdef RANDOM + size = (random () % SIZE + 1); +#else + size = SIZE; +#endif + mpn_random2 (s1, size); + + dx[size+1] = 0x12345678; + dy[size+1] = 0x12345678; + dx[0] = 0x87654321; + dy[0] = 0x87654321; + +#ifdef PRINT + mpn_print (s1, size); +#endif + t0 = cputime(); + for (i = 0; i < TIMES; i++) + cyx = refmpn_lshift (dx+1, s1, size, cnt); + t = cputime() - t0; +#if TIMES != 1 + printf ("refmpn_lshift: %5ldms (%.2f cycles/limb)\n", + t, + ((double) t * CLOCK) / (OPS * 1000.0)); +#endif +#ifdef PRINT + printf ("%*lX ", (int) (2 * sizeof(mp_limb_t)), cyx); mpn_print (dx+1, size); +#endif + + t0 = cputime(); + for (i = 0; i < TIMES; i++) + cyy = mpn_lshift (dx+1, s1, size, cnt); + t = cputime() - t0; +#if TIMES != 1 + printf ("mpn_lshift: %5ldms (%.2f cycles/limb)\n", + t, + ((double) t * CLOCK) / (OPS * 1000.0)); +#endif +#ifdef PRINT + printf ("%*lX ", (int) (2 * sizeof(mp_limb_t)), cyy); mpn_print (dx+1, size); +#endif + +#ifndef NOCHECK + /* Put garbage in the destination. */ + for (i = 1; i <= size; i++) + { + dx[i] = 0x7654321; + dy[i] = 0x1234567; + } + + cyx = refmpn_lshift (dx+1, s1, size, cnt); + cyy = mpn_lshift (dy+1, s1, size, cnt); + + if (cyx != cyy || mpn_cmp (dx, dy, size+2) != 0 + || dx[size+1] != 0x12345678 || dx[0] != 0x87654321) + { +#ifndef PRINT + printf ("%*lX ", (int) (2 * sizeof(mp_limb_t)), cyx); + mpn_print (dx+1, size); + printf ("%*lX ", (int) (2 * sizeof(mp_limb_t)), cyy); + mpn_print (dy+1, size); +#endif + abort(); + } +#endif + } +} + +mpn_print (mp_ptr p, mp_size_t size) +{ + mp_size_t i; + + for (i = size - 1; i >= 0; i--) + { + printf ("%0*lX", (int) (2 * sizeof(mp_limb_t)), p[i]); +#ifdef SPACE + if (i != 0) + printf (" "); +#endif + } + puts (""); +} diff --git a/contrib/libgmp/mpn/tests/mul_1.c b/contrib/libgmp/mpn/tests/mul_1.c new file mode 100644 index 0000000..2b522fa --- /dev/null +++ b/contrib/libgmp/mpn/tests/mul_1.c @@ -0,0 +1,212 @@ +#include <stdio.h> +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + +#ifndef USG +#include <sys/time.h> +#include <sys/resource.h> + +unsigned long +cputime () +{ + struct rusage rus; + + getrusage (0, &rus); + return rus.ru_utime.tv_sec * 1000 + rus.ru_utime.tv_usec / 1000; +} +#else +#include <time.h> + +#ifndef CLOCKS_PER_SEC +#define CLOCKS_PER_SEC 1000000 +#endif + +#if CLOCKS_PER_SEC >= 10000 +#define CLOCK_TO_MILLISEC(cl) ((cl) / (CLOCKS_PER_SEC / 1000)) +#else +#define CLOCK_TO_MILLISEC(cl) ((cl) * 1000 / CLOCKS_PER_SEC) +#endif + +unsigned long +cputime () +{ + return CLOCK_TO_MILLISEC (clock ()); +} +#endif + +#define M * 1000000 + +#ifndef CLOCK +#if defined (__m88k__) +#define CLOCK 20 M +#elif defined (__i386__) +#define CLOCK (16.666667 M) +#elif defined (__m68k__) +#define CLOCK (20 M) +#elif defined (_IBMR2) +#define CLOCK (25 M) +#elif defined (__sparc__) +#define CLOCK (20 M) +#elif defined (__sun__) +#define CLOCK (20 M) +#elif defined (__mips) +#define CLOCK (40 M) +#elif defined (__hppa__) +#define CLOCK (50 M) +#elif defined (__alpha) +#define CLOCK (133 M) +#else +#error "Don't know CLOCK of your machine" +#endif +#endif + +#ifndef OPS +#define OPS 20000000 +#endif +#ifndef SIZE +#define SIZE 496 +#endif +#ifndef TIMES +#define TIMES OPS/SIZE +#else +#undef OPS +#define OPS (SIZE*TIMES) +#endif + +mp_limb_t +refmpn_mul_1 (res_ptr, s1_ptr, s1_size, s2_limb) + register mp_ptr res_ptr; + register mp_srcptr s1_ptr; + mp_size_t s1_size; + register mp_limb_t s2_limb; +{ + register mp_limb_t cy_limb; + register mp_size_t j; + register mp_limb_t prod_high, prod_low; + + /* The loop counter and index J goes from -S1_SIZE to -1. This way + the loop becomes faster. */ + j = -s1_size; + + /* Offset the base pointers to compensate for the negative indices. */ + s1_ptr -= j; + res_ptr -= j; + + cy_limb = 0; + do + { + umul_ppmm (prod_high, prod_low, s1_ptr[j], s2_limb); + + prod_low += cy_limb; + cy_limb = (prod_low < cy_limb) + prod_high; + + res_ptr[j] = prod_low; + } + while (++j != 0); + + return cy_limb; +} + +main (argc, argv) + int argc; + char **argv; +{ + mp_limb_t s1[SIZE]; + mp_limb_t dx[SIZE+2]; + mp_limb_t dy[SIZE+2]; + mp_limb_t cyx, cyy; + int i; + long t0, t; + int test; + mp_limb_t xlimb; + mp_size_t size; + + for (test = 0; ; test++) + { +#ifdef RANDOM + size = (random () % SIZE + 1); +#else + size = SIZE; +#endif + + mpn_random2 (s1, size); + mpn_random2 (dy+1, size); + + if (random () % 0x100 == 0) + xlimb = 0; + else + mpn_random2 (&xlimb, 1); + + dy[size+1] = 0x12345678; + dy[0] = 0x87654321; + +#if defined (PRINT) || defined (XPRINT) + printf ("xlimb=%*lX\n", (int) (2 * sizeof(mp_limb_t)), xlimb); +#endif +#ifdef PRINT + mpn_print (s1, size); +#endif + + MPN_COPY (dx, dy, size+2); + t0 = cputime(); + for (i = 0; i < TIMES; i++) + cyx = refmpn_mul_1 (dx+1, s1, size, xlimb); + t = cputime() - t0; +#if TIMES != 1 + printf ("refmpn_mul_1: %5ldms (%.2f cycles/limb)\n", + t, + ((double) t * CLOCK) / (OPS * 1000.0)); +#endif + + MPN_COPY (dx, dy, size+2); + t0 = cputime(); + for (i = 0; i < TIMES; i++) + cyy = mpn_mul_1 (dx+1, s1, size, xlimb); + t = cputime() - t0; +#if TIMES != 1 + printf ("mpn_mul_1: %5ldms (%.2f cycles/limb)\n", + t, + ((double) t * CLOCK) / (OPS * 1000.0)); +#endif + + cyx = refmpn_mul_1 (dx+1, s1, size, xlimb); + cyy = mpn_mul_1 (dy+1, s1, size, xlimb); + +#ifdef PRINT + printf ("%*lX ", (int) (2 * sizeof(mp_limb_t)), cyx); + mpn_print (dx+1, size); + printf ("%*lX ", (int) (2 * sizeof(mp_limb_t)), cyy); + mpn_print (dy+1, size); +#endif + +#ifndef NOCHECK + if (cyx != cyy || mpn_cmp (dx, dy, size+2) != 0 + || dx[size+1] != 0x12345678 || dx[0] != 0x87654321) + { +#ifndef PRINT + printf ("%*lX ", (int) (2 * sizeof(mp_limb_t)), cyx); + mpn_print (dx+1, size); + printf ("%*lX ", (int) (2 * sizeof(mp_limb_t)), cyy); + mpn_print (dy+1, size); +#endif + abort(); + } +#endif + } +} + +mpn_print (mp_ptr p, mp_size_t size) +{ + mp_size_t i; + + for (i = size - 1; i >= 0; i--) + { + printf ("%0*lX", (int) (2 * sizeof(mp_limb_t)), p[i]); +#ifdef SPACE + if (i != 0) + printf (" "); +#endif + } + puts (""); +} diff --git a/contrib/libgmp/mpn/tests/rshift.c b/contrib/libgmp/mpn/tests/rshift.c new file mode 100644 index 0000000..2482bf3 --- /dev/null +++ b/contrib/libgmp/mpn/tests/rshift.c @@ -0,0 +1,227 @@ +#include <stdio.h> +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + +#ifndef USG +#include <sys/time.h> +#include <sys/resource.h> + +unsigned long +cputime () +{ + struct rusage rus; + + getrusage (0, &rus); + return rus.ru_utime.tv_sec * 1000 + rus.ru_utime.tv_usec / 1000; +} +#else +#include <time.h> + +#ifndef CLOCKS_PER_SEC +#define CLOCKS_PER_SEC 1000000 +#endif + +#if CLOCKS_PER_SEC >= 10000 +#define CLOCK_TO_MILLISEC(cl) ((cl) / (CLOCKS_PER_SEC / 1000)) +#else +#define CLOCK_TO_MILLISEC(cl) ((cl) * 1000 / CLOCKS_PER_SEC) +#endif + +unsigned long +cputime () +{ + return CLOCK_TO_MILLISEC (clock ()); +} +#endif + +#define M * 1000000 + +#ifndef CLOCK +#if defined (__m88k__) +#define CLOCK 20 M +#elif defined (__i386__) +#define CLOCK (16.666667 M) +#elif defined (__m68k__) +#define CLOCK (20 M) +#elif defined (_IBMR2) +#define CLOCK (25 M) +#elif defined (__sparc__) +#define CLOCK (20 M) +#elif defined (__sun__) +#define CLOCK (20 M) +#elif defined (__mips) +#define CLOCK (40 M) +#elif defined (__hppa__) +#define CLOCK (50 M) +#elif defined (__alpha) +#define CLOCK (133 M) +#else +#error "Don't know CLOCK of your machine" +#endif +#endif + +#ifndef OPS +#define OPS 10000000 +#endif +#ifndef SIZE +#define SIZE 496 +#endif +#ifndef TIMES +#define TIMES OPS/SIZE +#else +#undef OPS +#define OPS (SIZE*TIMES) +#endif + +mp_limb_t +refmpn_rshift (wp, up, usize, cnt) + register mp_ptr wp; + register mp_srcptr up; + mp_size_t usize; + register unsigned int cnt; +{ + register mp_limb_t high_limb, low_limb; + register unsigned sh_1, sh_2; + register mp_size_t i; + mp_limb_t retval; + +#ifdef DEBUG + if (usize == 0 || cnt == 0) + abort (); +#endif + + sh_1 = cnt; +#if 0 + if (sh_1 == 0) + { + if (wp != up) + { + /* Copy from low end to high end, to allow specified input/output + overlapping. */ + for (i = 0; i < usize; i++) + wp[i] = up[i]; + } + return 0; + } +#endif + + wp -= 1; + sh_2 = BITS_PER_MP_LIMB - sh_1; + high_limb = up[0]; + retval = high_limb << sh_2; + low_limb = high_limb; + + for (i = 1; i < usize; i++) + { + high_limb = up[i]; + wp[i] = (low_limb >> sh_1) | (high_limb << sh_2); + low_limb = high_limb; + } + low_limb >>= sh_1; + wp[i] = low_limb; + + return retval; +} + +#ifndef CNT +#define CNT 4 +#endif + +main (argc, argv) + int argc; + char **argv; +{ + mp_limb_t s1[SIZE]; + mp_limb_t dx[SIZE+2]; + mp_limb_t dy[SIZE+2]; + mp_limb_t cyx, cyy; + int i; + long t0, t; + int test; + int cnt = CNT; + mp_size_t size; + + for (test = 0; ; test++) + { +#ifdef RANDOM + size = (random () % SIZE + 1); +#else + size = SIZE; +#endif + mpn_random2 (s1, size); + + dx[size+1] = 0x12345678; + dy[size+1] = 0x12345678; + dx[0] = 0x87654321; + dy[0] = 0x87654321; + +#ifdef PRINT + mpn_print (s1, size); +#endif + t0 = cputime(); + for (i = 0; i < TIMES; i++) + cyx = refmpn_rshift (dx+1, s1, size, cnt); + t = cputime() - t0; +#if TIMES != 1 + printf ("refmpn_rshift: %5ldms (%.2f cycles/limb)\n", + t, + ((double) t * CLOCK) / (OPS * 1000.0)); +#endif +#ifdef PRINT + printf ("%*lX ", (int) (2 * sizeof(mp_limb_t)), cyx); mpn_print (dx+1, size); +#endif + + t0 = cputime(); + for (i = 0; i < TIMES; i++) + cyy = mpn_rshift (dx+1, s1, size, cnt); + t = cputime() - t0; +#if TIMES != 1 + printf ("mpn_rshift: %5ldms (%.2f cycles/limb)\n", + t, + ((double) t * CLOCK) / (OPS * 1000.0)); +#endif +#ifdef PRINT + printf ("%*lX ", (int) (2 * sizeof(mp_limb_t)), cyy); mpn_print (dx+1, size); +#endif + +#ifndef NOCHECK + /* Put garbage in the destination. */ + for (i = 1; i <= size; i++) + { + dx[i] = 0x7654321; + dy[i] = 0x1234567; + } + + cyx = refmpn_rshift (dx+1, s1, size, cnt); + cyy = mpn_rshift (dy+1, s1, size, cnt); + + if (cyx != cyy || mpn_cmp (dx, dy, size+2) != 0 + || dx[size+1] != 0x12345678 || dx[0] != 0x87654321) + { +#ifndef PRINT + printf ("%*lX ", (int) (2 * sizeof(mp_limb_t)), cyx); + mpn_print (dx+1, size); + printf ("%*lX ", (int) (2 * sizeof(mp_limb_t)), cyy); + mpn_print (dy+1, size); +#endif + abort(); + } +#endif + } +} + +mpn_print (mp_ptr p, mp_size_t size) +{ + mp_size_t i; + + for (i = size - 1; i >= 0; i--) + { + printf ("%0*lX", (int) (2 * sizeof(mp_limb_t)), p[i]); +#ifdef SPACE + if (i != 0) + printf (" "); +#endif + } + puts (""); +} diff --git a/contrib/libgmp/mpn/tests/sub_n.c b/contrib/libgmp/mpn/tests/sub_n.c new file mode 100644 index 0000000..2b9031b --- /dev/null +++ b/contrib/libgmp/mpn/tests/sub_n.c @@ -0,0 +1,211 @@ +#include <stdio.h> +#include "gmp.h" +#include "gmp-impl.h" + +#ifndef USG +#include <sys/time.h> +#include <sys/resource.h> + +unsigned long +cputime () +{ + struct rusage rus; + + getrusage (0, &rus); + return rus.ru_utime.tv_sec * 1000 + rus.ru_utime.tv_usec / 1000; +} +#else +#include <time.h> + +#ifndef CLOCKS_PER_SEC +#define CLOCKS_PER_SEC 1000000 +#endif + +#if CLOCKS_PER_SEC >= 10000 +#define CLOCK_TO_MILLISEC(cl) ((cl) / (CLOCKS_PER_SEC / 1000)) +#else +#define CLOCK_TO_MILLISEC(cl) ((cl) * 1000 / CLOCKS_PER_SEC) +#endif + +unsigned long +cputime () +{ + return CLOCK_TO_MILLISEC (clock ()); +} +#endif + +#define M * 1000000 + +#ifndef CLOCK +#if defined (__m88k__) +#define CLOCK 20 M +#elif defined (__i386__) +#define CLOCK (16.666667 M) +#elif defined (__m68k__) +#define CLOCK (20 M) +#elif defined (_IBMR2) +#define CLOCK (25 M) +#elif defined (__sparc__) +#define CLOCK (20 M) +#elif defined (__sun__) +#define CLOCK (20 M) +#elif defined (__mips) +#define CLOCK (40 M) +#elif defined (__hppa__) +#define CLOCK (50 M) +#elif defined (__alpha) +#define CLOCK (133 M) +#else +#error "Don't know CLOCK of your machine" +#endif +#endif + +#ifndef OPS +#define OPS 10000000 +#endif +#ifndef SIZE +#define SIZE 328 +#endif +#ifndef TIMES +#define TIMES OPS/SIZE +#else +#undef OPS +#define OPS (SIZE*TIMES) +#endif + + +mp_limb_t +#if __STDC__ +refmpn_sub_n (mp_ptr res_ptr, + mp_srcptr s1_ptr, mp_srcptr s2_ptr, mp_size_t size) +#else +refmpn_sub_n (res_ptr, s1_ptr, s2_ptr, size) + register mp_ptr res_ptr; + register mp_srcptr s1_ptr; + register mp_srcptr s2_ptr; + mp_size_t size; +#endif +{ + register mp_limb_t x, y, cy; + register mp_size_t j; + + /* The loop counter and index J goes from -SIZE to -1. This way + the loop becomes faster. */ + j = -size; + + /* Offset the base pointers to compensate for the negative indices. */ + s1_ptr -= j; + s2_ptr -= j; + res_ptr -= j; + + cy = 0; + do + { + y = s2_ptr[j]; + x = s1_ptr[j]; + y += cy; /* add previous carry to subtrahend */ + cy = (y < cy); /* get out carry from that addition */ + y = x - y; /* main subtract */ + cy = (y > x) + cy; /* get out carry from the subtract, combine */ + res_ptr[j] = y; + } + while (++j != 0); + + return cy; +} + +main (argc, argv) + int argc; + char **argv; +{ + mp_limb_t s1[SIZE]; + mp_limb_t s2[SIZE]; + mp_limb_t dx[SIZE+1]; + mp_limb_t dy[SIZE+1]; + int cyx, cyy; + int i; + long t0, t; + int test; + mp_size_t size; + + for (test = 0; ; test++) + { +#ifdef RANDOM + size = (random () % SIZE + 1); +#else + size = SIZE; +#endif + + mpn_random2 (s1, size); + mpn_random2 (s2, size); + + dx[size] = 0x12345678; + dy[size] = 0x12345678; + +#ifdef PRINT + mpn_print (s1, size); + mpn_print (s2, size); +#endif + t0 = cputime(); + for (i = 0; i < TIMES; i++) + cyx = refmpn_sub_n (dx, s1, s2, size); + t = cputime() - t0; +#if TIMES != 1 + printf ("refmpn_sub_n: %ldms (%.2f cycles/limb)\n", + t, + ((double) t * CLOCK) / (OPS * 1000.0)); +#endif +#ifdef PRINT + printf ("%d ", cyx); mpn_print (dx, size); +#endif + + t0 = cputime(); + for (i = 0; i < TIMES; i++) + cyx = mpn_sub_n (dx, s1, s2, size); + t = cputime() - t0; +#if TIMES != 1 + printf ("mpn_sub_n: %ldms (%.2f cycles/limb)\n", + t, + ((double) t * CLOCK) / (OPS * 1000.0)); +#endif +#ifdef PRINT + printf ("%d ", cyx); mpn_print (dx, size); +#endif + +#ifndef NOCHECK + /* Put garbage in the destination. */ + for (i = 0; i < size; i++) + { + dx[i] = 0x7654321; + dy[i] = 0x1234567; + } + + cyx = refmpn_sub_n (dx, s1, s2, size); + cyy = mpn_sub_n (dy, s1, s2, size); + if (cyx != cyy || mpn_cmp (dx, dy, size) != 0 + || dx[size] != 0x12345678 || dy[size] != 0x12345678) + { +#ifndef PRINT + printf ("%d ", cyx); mpn_print (dx, size); + printf ("%d ", cyy); mpn_print (dy, size); +#endif + abort(); + } +#endif + } +} + +mpn_print (mp_ptr p, mp_size_t size) +{ + mp_size_t i; + + for (i = size - 1; i >= 0; i--) + { + printf ("%0*lX", (int) (2 * sizeof(mp_limb_t)), p[i]); +#ifdef SPACE + if (i != 0) + printf (" "); +#endif + } + puts (""); +} diff --git a/contrib/libgmp/mpn/tests/submul_1.c b/contrib/libgmp/mpn/tests/submul_1.c new file mode 100644 index 0000000..0e464e6 --- /dev/null +++ b/contrib/libgmp/mpn/tests/submul_1.c @@ -0,0 +1,218 @@ +#include <stdio.h> +#include "gmp.h" +#include "gmp-impl.h" +#include "longlong.h" + +#ifndef USG +#include <sys/time.h> +#include <sys/resource.h> + +unsigned long +cputime () +{ + struct rusage rus; + + getrusage (0, &rus); + return rus.ru_utime.tv_sec * 1000 + rus.ru_utime.tv_usec / 1000; +} +#else +#include <time.h> + +#ifndef CLOCKS_PER_SEC +#define CLOCKS_PER_SEC 1000000 +#endif + +#if CLOCKS_PER_SEC >= 10000 +#define CLOCK_TO_MILLISEC(cl) ((cl) / (CLOCKS_PER_SEC / 1000)) +#else +#define CLOCK_TO_MILLISEC(cl) ((cl) * 1000 / CLOCKS_PER_SEC) +#endif + +unsigned long +cputime () +{ + return CLOCK_TO_MILLISEC (clock ()); +} +#endif + +#define M * 1000000 + +#ifndef CLOCK +#if defined (__m88k__) +#define CLOCK 20 M +#elif defined (__i386__) +#define CLOCK (16.666667 M) +#elif defined (__m68k__) +#define CLOCK (20 M) +#elif defined (_IBMR2) +#define CLOCK (25 M) +#elif defined (__sparc__) +#define CLOCK (20 M) +#elif defined (__sun__) +#define CLOCK (20 M) +#elif defined (__mips) +#define CLOCK (40 M) +#elif defined (__hppa__) +#define CLOCK (50 M) +#elif defined (__alpha) +#define CLOCK (133 M) +#else +#error "Don't know CLOCK of your machine" +#endif +#endif + +#ifndef OPS +#define OPS 20000000 +#endif +#ifndef SIZE +#define SIZE 496 +#endif +#ifndef TIMES +#define TIMES OPS/SIZE +#else +#undef OPS +#define OPS (SIZE*TIMES) +#endif + +mp_limb_t +refmpn_submul_1 (res_ptr, s1_ptr, s1_size, s2_limb) + register mp_ptr res_ptr; + register mp_srcptr s1_ptr; + mp_size_t s1_size; + register mp_limb_t s2_limb; +{ + register mp_limb_t cy_limb; + register mp_size_t j; + register mp_limb_t prod_high, prod_low; + register mp_limb_t x; + + /* The loop counter and index J goes from -SIZE to -1. This way + the loop becomes faster. */ + j = -s1_size; + + /* Offset the base pointers to compensate for the negative indices. */ + res_ptr -= j; + s1_ptr -= j; + + cy_limb = 0; + do + { + umul_ppmm (prod_high, prod_low, s1_ptr[j], s2_limb); + + prod_low += cy_limb; + cy_limb = (prod_low < cy_limb) + prod_high; + + x = res_ptr[j]; + prod_low = x - prod_low; + cy_limb += (prod_low > x); + res_ptr[j] = prod_low; + } + while (++j != 0); + + return cy_limb; +} + +main (argc, argv) + int argc; + char **argv; +{ + mp_limb_t s1[SIZE]; + mp_limb_t dx[SIZE+2]; + mp_limb_t dy[SIZE+2]; + mp_limb_t cyx, cyy; + int i; + long t0, t; + int test; + mp_limb_t xlimb; + mp_size_t size; + + for (test = 0; ; test++) + { +#ifdef RANDOM + size = (random () % SIZE + 1); +#else + size = SIZE; +#endif + + mpn_random2 (s1, size); + mpn_random2 (dy+1, size); + + if (random () % 0x100 == 0) + xlimb = 0; + else + mpn_random2 (&xlimb, 1); + + dy[size+1] = 0x12345678; + dy[0] = 0x87654321; + +#if defined (PRINT) || defined (XPRINT) + printf ("xlimb=%*lX\n", (int) (2 * sizeof(mp_limb_t)), xlimb); +#endif +#ifdef PRINT + mpn_print (dy+1, size); + mpn_print (s1, size); +#endif + + MPN_COPY (dx, dy, size+2); + t0 = cputime(); + for (i = 0; i < TIMES; i++) + cyx = refmpn_submul_1 (dx+1, s1, size, xlimb); + t = cputime() - t0; +#if TIMES != 1 + printf ("refmpn_submul_1: %5ldms (%.2f cycles/limb)\n", + t, + ((double) t * CLOCK) / (OPS * 1000.0)); +#endif + + MPN_COPY (dx, dy, size+2); + t0 = cputime(); + for (i = 0; i < TIMES; i++) + cyy = mpn_submul_1 (dx+1, s1, size, xlimb); + t = cputime() - t0; +#if TIMES != 1 + printf ("mpn_submul_1: %5ldms (%.2f cycles/limb)\n", + t, + ((double) t * CLOCK) / (OPS * 1000.0)); +#endif + + MPN_COPY (dx, dy, size+2); + cyx = refmpn_submul_1 (dx+1, s1, size, xlimb); + cyy = mpn_submul_1 (dy+1, s1, size, xlimb); + +#ifdef PRINT + printf ("%*lX ", (int) (2 * sizeof(mp_limb_t)), cyx); + mpn_print (dx+1, size); + printf ("%*lX ", (int) (2 * sizeof(mp_limb_t)), cyy); + mpn_print (dy+1, size); +#endif + +#ifndef NOCHECK + if (cyx != cyy || mpn_cmp (dx, dy, size+2) != 0 + || dx[size+1] != 0x12345678 || dx[0] != 0x87654321) + { +#ifndef PRINT + printf ("%*lX ", (int) (2 * sizeof(mp_limb_t)), cyx); + mpn_print (dx+1, size); + printf ("%*lX ", (int) (2 * sizeof(mp_limb_t)), cyy); + mpn_print (dy+1, size); +#endif + abort(); + } +#endif + } +} + +mpn_print (mp_ptr p, mp_size_t size) +{ + mp_size_t i; + + for (i = size - 1; i >= 0; i--) + { + printf ("%0*lX", (int) (2 * sizeof(mp_limb_t)), p[i]); +#ifdef SPACE + if (i != 0) + printf (" "); +#endif + } + puts (""); +} diff --git a/contrib/libgmp/mpn/tests/tst-addsub.c b/contrib/libgmp/mpn/tests/tst-addsub.c new file mode 100644 index 0000000..e02b9d5 --- /dev/null +++ b/contrib/libgmp/mpn/tests/tst-addsub.c @@ -0,0 +1,164 @@ +#include <stdio.h> +#include <stdlib.h> +#include "gmp.h" +#include "gmp-impl.h" + +#define ADD 1 +#define SUB 2 + +#ifndef METHOD +#define METHOD ADD +#endif + +#if METHOD == ADD +#define REFCALL refmpn_add_n +#define TESTCALL mpn_add_n +#endif + +#if METHOD == SUB +#define REFCALL refmpn_sub_n +#define TESTCALL mpn_sub_n +#endif + +mp_limb_t refmpn_add_n (); +mp_limb_t refmpn_sub_n (); + +#define SIZE 100 + +main (argc, argv) + int argc; + char **argv; +{ + mp_size_t alloc_size, max_size, size, i, cumul_size; + mp_ptr s1, s2, dx, dy; + int s1_align, s2_align, d_align; + long pass, n_passes; + mp_limb_t cx, cy; + + max_size = SIZE; + n_passes = 1000000; + + argc--; argv++; + if (argc) + { + max_size = atol (*argv); + argc--; argv++; + } + + alloc_size = max_size + 32; + s1 = malloc (alloc_size * BYTES_PER_MP_LIMB); + s2 = malloc (alloc_size * BYTES_PER_MP_LIMB); + dx = malloc (alloc_size * BYTES_PER_MP_LIMB); + dy = malloc (alloc_size * BYTES_PER_MP_LIMB); + + cumul_size = 0; + for (pass = 0; pass < n_passes; pass++) + { + cumul_size += size; + if (cumul_size >= 1000000) + { + cumul_size -= 1000000; + printf ("%d ", pass); fflush (stdout); + } + s1_align = random () % 32; + s2_align = random () % 32; + d_align = random () % 32; + + size = random () % max_size + 1; + + mpn_random2 (s1 + s1_align, size); + mpn_random2 (s2 + s2_align, size); + + for (i = 0; i < alloc_size; i++) + dx[i] = dy[i] = i + 0x9876500; + + cx = TESTCALL (dx + d_align, s1 + s1_align, s2 + s2_align, size); + cy = REFCALL (dy + d_align, s1 + s1_align, s2 + s2_align, size); + + if (cx != cy || mpn_cmp (dx, dy, alloc_size) != 0) + abort (); + } + + printf ("%d passes OK\n", n_passes); + exit (0); +} + +mp_limb_t +#if __STDC__ +refmpn_add_n (mp_ptr res_ptr, + mp_srcptr s1_ptr, mp_srcptr s2_ptr, mp_size_t size) +#else +refmpn_add_n (res_ptr, s1_ptr, s2_ptr, size) + register mp_ptr res_ptr; + register mp_srcptr s1_ptr; + register mp_srcptr s2_ptr; + mp_size_t size; +#endif +{ + register mp_limb_t x, y, cy; + register mp_size_t j; + + /* The loop counter and index J goes from -SIZE to -1. This way + the loop becomes faster. */ + j = -size; + + /* Offset the base pointers to compensate for the negative indices. */ + s1_ptr -= j; + s2_ptr -= j; + res_ptr -= j; + + cy = 0; + do + { + y = s2_ptr[j]; + x = s1_ptr[j]; + y += cy; /* add previous carry to one addend */ + cy = (y < cy); /* get out carry from that addition */ + y = x + y; /* add other addend */ + cy = (y < x) + cy; /* get out carry from that add, combine */ + res_ptr[j] = y; + } + while (++j != 0); + + return cy; +} + +mp_limb_t +#if __STDC__ +refmpn_sub_n (mp_ptr res_ptr, + mp_srcptr s1_ptr, mp_srcptr s2_ptr, mp_size_t size) +#else +refmpn_sub_n (res_ptr, s1_ptr, s2_ptr, size) + register mp_ptr res_ptr; + register mp_srcptr s1_ptr; + register mp_srcptr s2_ptr; + mp_size_t size; +#endif +{ + register mp_limb_t x, y, cy; + register mp_size_t j; + + /* The loop counter and index J goes from -SIZE to -1. This way + the loop becomes faster. */ + j = -size; + + /* Offset the base pointers to compensate for the negative indices. */ + s1_ptr -= j; + s2_ptr -= j; + res_ptr -= j; + + cy = 0; + do + { + y = s2_ptr[j]; + x = s1_ptr[j]; + y += cy; /* add previous carry to subtrahend */ + cy = (y < cy); /* get out carry from that addition */ + y = x - y; /* main subtract */ + cy = (y > x) + cy; /* get out carry from the subtract, combine */ + res_ptr[j] = y; + } + while (++j != 0); + + return cy; +} diff --git a/contrib/libgmp/mpn/x86/add_n.S b/contrib/libgmp/mpn/x86/add_n.S new file mode 100644 index 0000000..5bbbd0d --- /dev/null +++ b/contrib/libgmp/mpn/x86/add_n.S @@ -0,0 +1,106 @@ +/* i80386 __mpn_add_n -- Add two limb vectors of the same length > 0 and store +sum in a third limb vector. + +Copyright (C) 1992, 1994, 1995 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +/* + INPUT PARAMETERS + res_ptr (sp + 4) + s1_ptr (sp + 8) + s2_ptr (sp + 12) + size (sp + 16) +*/ + +#include "sysdep.h" +#include "asm-syntax.h" + +.text + ALIGN (3) + .globl C_SYMBOL_NAME(__mpn_add_n) +C_SYMBOL_NAME(__mpn_add_n:) + pushl %edi + pushl %esi + + movl 12(%esp),%edi /* res_ptr */ + movl 16(%esp),%esi /* s1_ptr */ + movl 20(%esp),%edx /* s2_ptr */ + movl 24(%esp),%ecx /* size */ + + movl %ecx,%eax + shrl $3,%ecx /* compute count for unrolled loop */ + negl %eax + andl $7,%eax /* get index where to start loop */ + jz Loop /* necessary special case for 0 */ + incl %ecx /* adjust loop count */ + shll $2,%eax /* adjustment for pointers... */ + subl %eax,%edi /* ... since they are offset ... */ + subl %eax,%esi /* ... by a constant when we ... */ + subl %eax,%edx /* ... enter the loop */ + shrl $2,%eax /* restore previous value */ +#ifdef PIC +/* Calculate start address in loop for PIC. Due to limitations in some + assemblers, Loop-L0-3 cannot be put into the leal */ + call L0 +L0: leal (%eax,%eax,8),%eax + addl (%esp),%eax + addl $(Loop-L0-3),%eax + addl $4,%esp +#else +/* Calculate start address in loop for non-PIC. */ + leal (Loop - 3)(%eax,%eax,8),%eax +#endif + jmp *%eax /* jump into loop */ + ALIGN (3) +Loop: movl (%esi),%eax + adcl (%edx),%eax + movl %eax,(%edi) + movl 4(%esi),%eax + adcl 4(%edx),%eax + movl %eax,4(%edi) + movl 8(%esi),%eax + adcl 8(%edx),%eax + movl %eax,8(%edi) + movl 12(%esi),%eax + adcl 12(%edx),%eax + movl %eax,12(%edi) + movl 16(%esi),%eax + adcl 16(%edx),%eax + movl %eax,16(%edi) + movl 20(%esi),%eax + adcl 20(%edx),%eax + movl %eax,20(%edi) + movl 24(%esi),%eax + adcl 24(%edx),%eax + movl %eax,24(%edi) + movl 28(%esi),%eax + adcl 28(%edx),%eax + movl %eax,28(%edi) + leal 32(%edi),%edi + leal 32(%esi),%esi + leal 32(%edx),%edx + decl %ecx + jnz Loop + + sbbl %eax,%eax + negl %eax + + popl %esi + popl %edi + ret diff --git a/contrib/libgmp/mpn/x86/addmul_1.S b/contrib/libgmp/mpn/x86/addmul_1.S new file mode 100644 index 0000000..c11209d --- /dev/null +++ b/contrib/libgmp/mpn/x86/addmul_1.S @@ -0,0 +1,76 @@ +/* i80386 __mpn_addmul_1 -- Multiply a limb vector with a limb and add + the result to a second limb vector. + +Copyright (C) 1992, 1994 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +/* + INPUT PARAMETERS + res_ptr (sp + 4) + s1_ptr (sp + 8) + size (sp + 12) + s2_limb (sp + 16) +*/ + +#include "sysdep.h" +#include "asm-syntax.h" + +#define res_ptr edi +#define s1_ptr esi +#define size ecx +#define s2_limb ebp + + TEXT + ALIGN (3) + GLOBL C_SYMBOL_NAME(__mpn_addmul_1) +C_SYMBOL_NAME(__mpn_addmul_1:) + + INSN1(push,l ,R(edi)) + INSN1(push,l ,R(esi)) + INSN1(push,l ,R(ebx)) + INSN1(push,l ,R(ebp)) + + INSN2(mov,l ,R(res_ptr),MEM_DISP(esp,20)) + INSN2(mov,l ,R(s1_ptr),MEM_DISP(esp,24)) + INSN2(mov,l ,R(size),MEM_DISP(esp,28)) + INSN2(mov,l ,R(s2_limb),MEM_DISP(esp,32)) + + INSN2(lea,l ,R(res_ptr),MEM_INDEX(res_ptr,size,4)) + INSN2(lea,l ,R(s1_ptr),MEM_INDEX(s1_ptr,size,4)) + INSN1(neg,l ,R(size)) + INSN2(xor,l ,R(ebx),R(ebx)) + ALIGN (3) +Loop: + INSN2(mov,l ,R(eax),MEM_INDEX(s1_ptr,size,4)) + INSN1(mul,l ,R(s2_limb)) + INSN2(add,l ,R(eax),R(ebx)) + INSN2(adc,l ,R(edx),$0) + INSN2(add,l ,MEM_INDEX(res_ptr,size,4),R(eax)) + INSN2(adc,l ,R(edx),$0) + INSN2(mov,l ,R(ebx),R(edx)) + + INSN1(inc,l ,R(size)) + INSN1(jnz, ,Loop) + INSN2(mov,l ,R(eax),R(ebx)) + + INSN1(pop,l ,R(ebp)) + INSN1(pop,l ,R(ebx)) + INSN1(pop,l ,R(esi)) + INSN1(pop,l ,R(edi)) + ret diff --git a/contrib/libgmp/mpn/x86/lshift.S b/contrib/libgmp/mpn/x86/lshift.S new file mode 100644 index 0000000..8173b92 --- /dev/null +++ b/contrib/libgmp/mpn/x86/lshift.S @@ -0,0 +1,85 @@ +/* i80386 __mpn_lshift -- + +Copyright (C) 1992, 1994 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +/* + INPUT PARAMETERS + res_ptr (sp + 4) + s_ptr (sp + 8) + size (sp + 12) + cnt (sp + 16) +*/ + +#include "sysdep.h" +#include "asm-syntax.h" + +.text + ALIGN (3) + .globl C_SYMBOL_NAME(__mpn_lshift) +C_SYMBOL_NAME(__mpn_lshift:) + pushl %edi + pushl %esi + pushl %ebx + + movl 16(%esp),%edi /* res_ptr */ + movl 20(%esp),%esi /* s_ptr */ + movl 24(%esp),%edx /* size */ + movl 28(%esp),%ecx /* cnt */ + + subl $4,%esi /* adjust s_ptr */ + + movl (%esi,%edx,4),%ebx /* read most significant limb */ + xorl %eax,%eax + shldl %cl,%ebx,%eax /* compute carry limb */ + decl %edx + jz Lend + pushl %eax /* push carry limb onto stack */ + testb $1,%edx + jnz L1 /* enter loop in the middle */ + movl %ebx,%eax + + ALIGN (3) +Loop: movl (%esi,%edx,4),%ebx /* load next lower limb */ + shldl %cl,%ebx,%eax /* compute result limb */ + movl %eax,(%edi,%edx,4) /* store it */ + decl %edx +L1: movl (%esi,%edx,4),%eax + shldl %cl,%eax,%ebx + movl %ebx,(%edi,%edx,4) + decl %edx + jnz Loop + + shll %cl,%eax /* compute least significant limb */ + movl %eax,(%edi) /* store it */ + + popl %eax /* pop carry limb */ + + popl %ebx + popl %esi + popl %edi + ret + +Lend: shll %cl,%ebx /* compute least significant limb */ + movl %ebx,(%edi) /* store it */ + + popl %ebx + popl %esi + popl %edi + ret diff --git a/contrib/libgmp/mpn/x86/mul_1.S b/contrib/libgmp/mpn/x86/mul_1.S new file mode 100644 index 0000000..b271399 --- /dev/null +++ b/contrib/libgmp/mpn/x86/mul_1.S @@ -0,0 +1,75 @@ +/* i80386 __mpn_mul_1 -- Multiply a limb vector with a limb and store + the result in a second limb vector. + +Copyright (C) 1992, 1994 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +/* + INPUT PARAMETERS + res_ptr (sp + 4) + s1_ptr (sp + 8) + size (sp + 12) + s2_limb (sp + 16) +*/ + +#include "sysdep.h" +#include "asm-syntax.h" + +#define res_ptr edi +#define s1_ptr esi +#define size ecx +#define s2_limb ebp + + TEXT + ALIGN (3) + GLOBL C_SYMBOL_NAME(__mpn_mul_1) +C_SYMBOL_NAME(__mpn_mul_1:) + + INSN1(push,l ,R(edi)) + INSN1(push,l ,R(esi)) + INSN1(push,l ,R(ebx)) + INSN1(push,l ,R(ebp)) + + INSN2(mov,l ,R(res_ptr),MEM_DISP(esp,20)) + INSN2(mov,l ,R(s1_ptr),MEM_DISP(esp,24)) + INSN2(mov,l ,R(size),MEM_DISP(esp,28)) + INSN2(mov,l ,R(s2_limb),MEM_DISP(esp,32)) + + INSN2(lea,l ,R(res_ptr),MEM_INDEX(res_ptr,size,4)) + INSN2(lea,l ,R(s1_ptr),MEM_INDEX(s1_ptr,size,4)) + INSN1(neg,l ,R(size)) + INSN2(xor,l ,R(ebx),R(ebx)) + ALIGN (3) +Loop: + INSN2(mov,l ,R(eax),MEM_INDEX(s1_ptr,size,4)) + INSN1(mul,l ,R(s2_limb)) + INSN2(add,l ,R(eax),R(ebx)) + INSN2(mov,l ,MEM_INDEX(res_ptr,size,4),R(eax)) + INSN2(adc,l ,R(edx),$0) + INSN2(mov,l ,R(ebx),R(edx)) + + INSN1(inc,l ,R(size)) + INSN1(jnz, ,Loop) + INSN2(mov,l ,R(eax),R(ebx)) + + INSN1(pop,l ,R(ebp)) + INSN1(pop,l ,R(ebx)) + INSN1(pop,l ,R(esi)) + INSN1(pop,l ,R(edi)) + ret diff --git a/contrib/libgmp/mpn/x86/pentium/README b/contrib/libgmp/mpn/x86/pentium/README new file mode 100644 index 0000000..d73b082 --- /dev/null +++ b/contrib/libgmp/mpn/x86/pentium/README @@ -0,0 +1,26 @@ +This directory contains mpn functions optimized for Intel Pentium +processors. + +RELEVANT OPTIMIZATION ISSUES + +1. Pentium doesn't allocate cache lines on writes, unlike most other modern +processors. Since the functions in the mpn class do array writes, we have to +handle allocating the destination cache lines by reading a word from it in the +loops, to achieve the best performance. + +2. Pairing of memory operations requires that the two issued operations refer +to different cache banks. The simplest way to insure this is to read/write +two words from the same object. If we make operations on different objects, +they might or might not be to the same cache bank. + +STATUS + +1. mpn_lshift and mpn_rshift run at about 6 cycles/limb, but the Pentium +documentation indicates that they should take only 43/8 = 5.375 cycles/limb, +or 5 cycles/limb asymptotically. + +2. mpn_add_n and mpn_sub_n run at asymptotically 2 cycles/limb. Due to loop +overhead and other delays (cache refill?), they run at or near 2.5 cycles/limb. + +3. mpn_mul_1, mpn_addmul_1, mpn_submul_1 all run 1 cycle faster than they +should... diff --git a/contrib/libgmp/mpn/x86/pentium/add_n.S b/contrib/libgmp/mpn/x86/pentium/add_n.S new file mode 100644 index 0000000..ac6f281 --- /dev/null +++ b/contrib/libgmp/mpn/x86/pentium/add_n.S @@ -0,0 +1,130 @@ +/* Pentium __mpn_add_n -- Add two limb vectors of the same length > 0 and store + sum in a third limb vector. + +Copyright (C) 1992, 1994, 1995, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +/* + INPUT PARAMETERS + res_ptr (sp + 4) + s1_ptr (sp + 8) + s2_ptr (sp + 12) + size (sp + 16) +*/ + +#include "sysdep.h" +#include "asm-syntax.h" + +.text + ALIGN (3) + .globl C_SYMBOL_NAME(__mpn_add_n) +C_SYMBOL_NAME(__mpn_add_n:) + pushl %edi + pushl %esi + pushl %ebx + pushl %ebp + + movl 20(%esp),%edi /* res_ptr */ + movl 24(%esp),%esi /* s1_ptr */ + movl 28(%esp),%ebp /* s2_ptr */ + movl 32(%esp),%ecx /* size */ + + movl (%ebp),%ebx + + decl %ecx + movl %ecx,%edx + shrl $3,%ecx + andl $7,%edx + testl %ecx,%ecx /* zero carry flag */ + jz Lend + pushl %edx + + ALIGN (3) +Loop: movl 28(%edi),%eax /* fetch destination cache line */ + leal 32(%edi),%edi + +L1: movl (%esi),%eax + movl 4(%esi),%edx + adcl %ebx,%eax + movl 4(%ebp),%ebx + adcl %ebx,%edx + movl 8(%ebp),%ebx + movl %eax,-32(%edi) + movl %edx,-28(%edi) + +L2: movl 8(%esi),%eax + movl 12(%esi),%edx + adcl %ebx,%eax + movl 12(%ebp),%ebx + adcl %ebx,%edx + movl 16(%ebp),%ebx + movl %eax,-24(%edi) + movl %edx,-20(%edi) + +L3: movl 16(%esi),%eax + movl 20(%esi),%edx + adcl %ebx,%eax + movl 20(%ebp),%ebx + adcl %ebx,%edx + movl 24(%ebp),%ebx + movl %eax,-16(%edi) + movl %edx,-12(%edi) + +L4: movl 24(%esi),%eax + movl 28(%esi),%edx + adcl %ebx,%eax + movl 28(%ebp),%ebx + adcl %ebx,%edx + movl 32(%ebp),%ebx + movl %eax,-8(%edi) + movl %edx,-4(%edi) + + leal 32(%esi),%esi + leal 32(%ebp),%ebp + decl %ecx + jnz Loop + + popl %edx +Lend: + decl %edx /* test %edx w/o clobbering carry */ + js Lend2 + incl %edx +Loop2: + leal 4(%edi),%edi + movl (%esi),%eax + adcl %ebx,%eax + movl 4(%ebp),%ebx + movl %eax,-4(%edi) + leal 4(%esi),%esi + leal 4(%ebp),%ebp + decl %edx + jnz Loop2 +Lend2: + movl (%esi),%eax + adcl %ebx,%eax + movl %eax,(%edi) + + sbbl %eax,%eax + negl %eax + + popl %ebp + popl %ebx + popl %esi + popl %edi + ret diff --git a/contrib/libgmp/mpn/x86/pentium/addmul_1.S b/contrib/libgmp/mpn/x86/pentium/addmul_1.S new file mode 100644 index 0000000..7cfa5db --- /dev/null +++ b/contrib/libgmp/mpn/x86/pentium/addmul_1.S @@ -0,0 +1,83 @@ +/* Pentium __mpn_addmul_1 -- Multiply a limb vector with a limb and add + the result to a second limb vector. + +Copyright (C) 1992, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +/* + INPUT PARAMETERS + res_ptr (sp + 4) + s1_ptr (sp + 8) + size (sp + 12) + s2_limb (sp + 16) +*/ + +#include "sysdep.h" +#include "asm-syntax.h" + +#define res_ptr edi +#define s1_ptr esi +#define size ecx +#define s2_limb ebp + + TEXT + ALIGN (3) + GLOBL C_SYMBOL_NAME(__mpn_addmul_1) +C_SYMBOL_NAME(__mpn_addmul_1:) + + INSN1(push,l ,R(edi)) + INSN1(push,l ,R(esi)) + INSN1(push,l ,R(ebx)) + INSN1(push,l ,R(ebp)) + + INSN2(mov,l ,R(res_ptr),MEM_DISP(esp,20)) + INSN2(mov,l ,R(s1_ptr),MEM_DISP(esp,24)) + INSN2(mov,l ,R(size),MEM_DISP(esp,28)) + INSN2(mov,l ,R(s2_limb),MEM_DISP(esp,32)) + + INSN2(lea,l ,R(res_ptr),MEM_INDEX(res_ptr,size,4)) + INSN2(lea,l ,R(s1_ptr),MEM_INDEX(s1_ptr,size,4)) + INSN1(neg,l ,R(size)) + INSN2(xor,l ,R(ebx),R(ebx)) + ALIGN (3) + +Loop: INSN2(adc,l ,R(ebx),$0) + INSN2(mov,l ,R(eax),MEM_INDEX(s1_ptr,size,4)) + + INSN1(mul,l ,R(s2_limb)) + + INSN2(add,l ,R(eax),R(ebx)) + INSN2(mov,l ,R(ebx),MEM_INDEX(res_ptr,size,4)) + + INSN2(adc,l ,R(edx),$0) + INSN2(add,l ,R(ebx),R(eax)) + + INSN2(mov,l ,MEM_INDEX(res_ptr,size,4),R(ebx)) + INSN1(inc,l ,R(size)) + + INSN2(mov,l ,R(ebx),R(edx)) + INSN1(jnz, ,Loop) + + INSN2(adc,l ,R(ebx),$0) + INSN2(mov,l ,R(eax),R(ebx)) + INSN1(pop,l ,R(ebp)) + INSN1(pop,l ,R(ebx)) + INSN1(pop,l ,R(esi)) + INSN1(pop,l ,R(edi)) + ret diff --git a/contrib/libgmp/mpn/x86/pentium/lshift.S b/contrib/libgmp/mpn/x86/pentium/lshift.S new file mode 100644 index 0000000..b298983 --- /dev/null +++ b/contrib/libgmp/mpn/x86/pentium/lshift.S @@ -0,0 +1,217 @@ +/* Pentium optimized __mpn_lshift -- + +Copyright (C) 1992, 1994, 1995 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +/* + INPUT PARAMETERS + res_ptr (sp + 4) + s_ptr (sp + 8) + size (sp + 12) + cnt (sp + 16) +*/ + +#include "sysdep.h" +#include "asm-syntax.h" + +.text + ALIGN (3) + .globl C_SYMBOL_NAME(__mpn_lshift) +C_SYMBOL_NAME(__mpn_lshift:) + pushl %edi + pushl %esi + pushl %ebx + pushl %ebp + + movl 20(%esp),%edi /* res_ptr */ + movl 24(%esp),%esi /* s_ptr */ + movl 28(%esp),%ebp /* size */ + movl 32(%esp),%ecx /* cnt */ + +/* We can use faster code for shift-by-1 under certain conditions. */ + cmp $1,%ecx + jne Lnormal + leal 4(%esi),%eax + cmpl %edi,%eax + jnc Lspecial /* jump if s_ptr + 1 >= res_ptr */ + leal (%esi,%ebp,4),%eax + cmpl %eax,%edi + jnc Lspecial /* jump if res_ptr >= s_ptr + size */ + +Lnormal: + leal -4(%edi,%ebp,4),%edi + leal -4(%esi,%ebp,4),%esi + + movl (%esi),%edx + subl $4,%esi + xorl %eax,%eax + shldl %cl,%edx,%eax /* compute carry limb */ + pushl %eax /* push carry limb onto stack */ + + decl %ebp + pushl %ebp + shrl $3,%ebp + jz Lend + + movl (%edi),%eax /* fetch destination cache line */ + + ALIGN (2) +Loop: movl -28(%edi),%eax /* fetch destination cache line */ + movl %edx,%ebx + + movl (%esi),%eax + movl -4(%esi),%edx + shldl %cl,%eax,%ebx + shldl %cl,%edx,%eax + movl %ebx,(%edi) + movl %eax,-4(%edi) + + movl -8(%esi),%ebx + movl -12(%esi),%eax + shldl %cl,%ebx,%edx + shldl %cl,%eax,%ebx + movl %edx,-8(%edi) + movl %ebx,-12(%edi) + + movl -16(%esi),%edx + movl -20(%esi),%ebx + shldl %cl,%edx,%eax + shldl %cl,%ebx,%edx + movl %eax,-16(%edi) + movl %edx,-20(%edi) + + movl -24(%esi),%eax + movl -28(%esi),%edx + shldl %cl,%eax,%ebx + shldl %cl,%edx,%eax + movl %ebx,-24(%edi) + movl %eax,-28(%edi) + + subl $32,%esi + subl $32,%edi + decl %ebp + jnz Loop + +Lend: popl %ebp + andl $7,%ebp + jz Lend2 +Loop2: movl (%esi),%eax + shldl %cl,%eax,%edx + movl %edx,(%edi) + movl %eax,%edx + subl $4,%esi + subl $4,%edi + decl %ebp + jnz Loop2 + +Lend2: shll %cl,%edx /* compute least significant limb */ + movl %edx,(%edi) /* store it */ + + popl %eax /* pop carry limb */ + + popl %ebp + popl %ebx + popl %esi + popl %edi + ret + +/* We loop from least significant end of the arrays, which is only + permissable if the source and destination don't overlap, since the + function is documented to work for overlapping source and destination. +*/ + +Lspecial: + movl (%esi),%edx + addl $4,%esi + + decl %ebp + pushl %ebp + shrl $3,%ebp + + addl %edx,%edx + incl %ebp + decl %ebp + jz LLend + + movl (%edi),%eax /* fetch destination cache line */ + + ALIGN (2) +LLoop: movl 28(%edi),%eax /* fetch destination cache line */ + movl %edx,%ebx + + movl (%esi),%eax + movl 4(%esi),%edx + adcl %eax,%eax + movl %ebx,(%edi) + adcl %edx,%edx + movl %eax,4(%edi) + + movl 8(%esi),%ebx + movl 12(%esi),%eax + adcl %ebx,%ebx + movl %edx,8(%edi) + adcl %eax,%eax + movl %ebx,12(%edi) + + movl 16(%esi),%edx + movl 20(%esi),%ebx + adcl %edx,%edx + movl %eax,16(%edi) + adcl %ebx,%ebx + movl %edx,20(%edi) + + movl 24(%esi),%eax + movl 28(%esi),%edx + adcl %eax,%eax + movl %ebx,24(%edi) + adcl %edx,%edx + movl %eax,28(%edi) + + leal 32(%esi),%esi /* use leal not to clobber carry */ + leal 32(%edi),%edi + decl %ebp + jnz LLoop + +LLend: popl %ebp + sbbl %eax,%eax /* save carry in %eax */ + andl $7,%ebp + jz LLend2 + addl %eax,%eax /* restore carry from eax */ +LLoop2: movl %edx,%ebx + movl (%esi),%edx + adcl %edx,%edx + movl %ebx,(%edi) + + leal 4(%esi),%esi /* use leal not to clobber carry */ + leal 4(%edi),%edi + decl %ebp + jnz LLoop2 + + jmp LL1 +LLend2: addl %eax,%eax /* restore carry from eax */ +LL1: movl %edx,(%edi) /* store last limb */ + + sbbl %eax,%eax + negl %eax + + popl %ebp + popl %ebx + popl %esi + popl %edi + ret diff --git a/contrib/libgmp/mpn/x86/pentium/mul_1.S b/contrib/libgmp/mpn/x86/pentium/mul_1.S new file mode 100644 index 0000000..4ac3050 --- /dev/null +++ b/contrib/libgmp/mpn/x86/pentium/mul_1.S @@ -0,0 +1,79 @@ +/* Pentium __mpn_mul_1 -- Multiply a limb vector with a limb and store + the result in a second limb vector. + +Copyright (C) 1992, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +/* + INPUT PARAMETERS + res_ptr (sp + 4) + s1_ptr (sp + 8) + size (sp + 12) + s2_limb (sp + 16) +*/ + +#include "sysdep.h" +#include "asm-syntax.h" + +#define res_ptr edi +#define s1_ptr esi +#define size ecx +#define s2_limb ebp + + TEXT + ALIGN (3) + GLOBL C_SYMBOL_NAME(__mpn_mul_1) +C_SYMBOL_NAME(__mpn_mul_1:) + + INSN1(push,l ,R(edi)) + INSN1(push,l ,R(esi)) + INSN1(push,l ,R(ebx)) + INSN1(push,l ,R(ebp)) + + INSN2(mov,l ,R(res_ptr),MEM_DISP(esp,20)) + INSN2(mov,l ,R(s1_ptr),MEM_DISP(esp,24)) + INSN2(mov,l ,R(size),MEM_DISP(esp,28)) + INSN2(mov,l ,R(s2_limb),MEM_DISP(esp,32)) + + INSN2(lea,l ,R(res_ptr),MEM_INDEX(res_ptr,size,4)) + INSN2(lea,l ,R(s1_ptr),MEM_INDEX(s1_ptr,size,4)) + INSN1(neg,l ,R(size)) + INSN2(xor,l ,R(ebx),R(ebx)) + ALIGN (3) + +Loop: INSN2(adc,l ,R(ebx),$0) + INSN2(mov,l ,R(eax),MEM_INDEX(s1_ptr,size,4)) + + INSN1(mul,l ,R(s2_limb)) + + INSN2(add,l ,R(ebx),R(eax)) + + INSN2(mov,l ,MEM_INDEX(res_ptr,size,4),R(ebx)) + INSN1(inc,l ,R(size)) + + INSN2(mov,l ,R(ebx),R(edx)) + INSN1(jnz, ,Loop) + + INSN2(adc,l ,R(ebx),$0) + INSN2(mov,l ,R(eax),R(ebx)) + INSN1(pop,l ,R(ebp)) + INSN1(pop,l ,R(ebx)) + INSN1(pop,l ,R(esi)) + INSN1(pop,l ,R(edi)) + ret diff --git a/contrib/libgmp/mpn/x86/pentium/rshift.S b/contrib/libgmp/mpn/x86/pentium/rshift.S new file mode 100644 index 0000000..38398ed --- /dev/null +++ b/contrib/libgmp/mpn/x86/pentium/rshift.S @@ -0,0 +1,217 @@ +/* Pentium optimized __mpn_rshift -- + +Copyright (C) 1992, 1994, 1995 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +/* + INPUT PARAMETERS + res_ptr (sp + 4) + s_ptr (sp + 8) + size (sp + 12) + cnt (sp + 16) +*/ + +#include "sysdep.h" +#include "asm-syntax.h" + +.text + ALIGN (3) + .globl C_SYMBOL_NAME(__mpn_rshift) +C_SYMBOL_NAME(__mpn_rshift:) + pushl %edi + pushl %esi + pushl %ebx + pushl %ebp + + movl 20(%esp),%edi /* res_ptr */ + movl 24(%esp),%esi /* s_ptr */ + movl 28(%esp),%ebp /* size */ + movl 32(%esp),%ecx /* cnt */ + +/* We can use faster code for shift-by-1 under certain conditions. */ + cmp $1,%ecx + jne Lnormal + leal 4(%edi),%eax + cmpl %esi,%eax + jnc Lspecial /* jump if res_ptr + 1 >= s_ptr */ + leal (%edi,%ebp,4),%eax + cmpl %eax,%esi + jnc Lspecial /* jump if s_ptr >= res_ptr + size */ + +Lnormal: + movl (%esi),%edx + addl $4,%esi + xorl %eax,%eax + shrdl %cl,%edx,%eax /* compute carry limb */ + pushl %eax /* push carry limb onto stack */ + + decl %ebp + pushl %ebp + shrl $3,%ebp + jz Lend + + movl (%edi),%eax /* fetch destination cache line */ + + ALIGN (2) +Loop: movl 28(%edi),%eax /* fetch destination cache line */ + movl %edx,%ebx + + movl (%esi),%eax + movl 4(%esi),%edx + shrdl %cl,%eax,%ebx + shrdl %cl,%edx,%eax + movl %ebx,(%edi) + movl %eax,4(%edi) + + movl 8(%esi),%ebx + movl 12(%esi),%eax + shrdl %cl,%ebx,%edx + shrdl %cl,%eax,%ebx + movl %edx,8(%edi) + movl %ebx,12(%edi) + + movl 16(%esi),%edx + movl 20(%esi),%ebx + shrdl %cl,%edx,%eax + shrdl %cl,%ebx,%edx + movl %eax,16(%edi) + movl %edx,20(%edi) + + movl 24(%esi),%eax + movl 28(%esi),%edx + shrdl %cl,%eax,%ebx + shrdl %cl,%edx,%eax + movl %ebx,24(%edi) + movl %eax,28(%edi) + + addl $32,%esi + addl $32,%edi + decl %ebp + jnz Loop + +Lend: popl %ebp + andl $7,%ebp + jz Lend2 +Loop2: movl (%esi),%eax + shrdl %cl,%eax,%edx /* compute result limb */ + movl %edx,(%edi) + movl %eax,%edx + addl $4,%esi + addl $4,%edi + decl %ebp + jnz Loop2 + +Lend2: shrl %cl,%edx /* compute most significant limb */ + movl %edx,(%edi) /* store it */ + + popl %eax /* pop carry limb */ + + popl %ebp + popl %ebx + popl %esi + popl %edi + ret + +/* We loop from least significant end of the arrays, which is only + permissable if the source and destination don't overlap, since the + function is documented to work for overlapping source and destination. +*/ + +Lspecial: + leal -4(%edi,%ebp,4),%edi + leal -4(%esi,%ebp,4),%esi + + movl (%esi),%edx + subl $4,%esi + + decl %ebp + pushl %ebp + shrl $3,%ebp + + shrl $1,%edx + incl %ebp + decl %ebp + jz LLend + + movl (%edi),%eax /* fetch destination cache line */ + + ALIGN (2) +LLoop: movl -28(%edi),%eax /* fetch destination cache line */ + movl %edx,%ebx + + movl (%esi),%eax + movl -4(%esi),%edx + rcrl $1,%eax + movl %ebx,(%edi) + rcrl $1,%edx + movl %eax,-4(%edi) + + movl -8(%esi),%ebx + movl -12(%esi),%eax + rcrl $1,%ebx + movl %edx,-8(%edi) + rcrl $1,%eax + movl %ebx,-12(%edi) + + movl -16(%esi),%edx + movl -20(%esi),%ebx + rcrl $1,%edx + movl %eax,-16(%edi) + rcrl $1,%ebx + movl %edx,-20(%edi) + + movl -24(%esi),%eax + movl -28(%esi),%edx + rcrl $1,%eax + movl %ebx,-24(%edi) + rcrl $1,%edx + movl %eax,-28(%edi) + + leal -32(%esi),%esi /* use leal not to clobber carry */ + leal -32(%edi),%edi + decl %ebp + jnz LLoop + +LLend: popl %ebp + sbbl %eax,%eax /* save carry in %eax */ + andl $7,%ebp + jz LLend2 + addl %eax,%eax /* restore carry from eax */ +LLoop2: movl %edx,%ebx + movl (%esi),%edx + rcrl $1,%edx + movl %ebx,(%edi) + + leal -4(%esi),%esi /* use leal not to clobber carry */ + leal -4(%edi),%edi + decl %ebp + jnz LLoop2 + + jmp LL1 +LLend2: addl %eax,%eax /* restore carry from eax */ +LL1: movl %edx,(%edi) /* store last limb */ + + movl $0,%eax + rcrl $1,%eax + + popl %ebp + popl %ebx + popl %esi + popl %edi + ret diff --git a/contrib/libgmp/mpn/x86/pentium/sub_n.S b/contrib/libgmp/mpn/x86/pentium/sub_n.S new file mode 100644 index 0000000..d1a2bc0 --- /dev/null +++ b/contrib/libgmp/mpn/x86/pentium/sub_n.S @@ -0,0 +1,130 @@ +/* Pentium __mpn_sub_n -- Subtract two limb vectors of the same length > 0 + and store difference in a third limb vector. + +Copyright (C) 1992, 1994, 1995, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +/* + INPUT PARAMETERS + res_ptr (sp + 4) + s1_ptr (sp + 8) + s2_ptr (sp + 12) + size (sp + 16) +*/ + +#include "sysdep.h" +#include "asm-syntax.h" + +.text + ALIGN (3) + .globl C_SYMBOL_NAME(__mpn_sub_n) +C_SYMBOL_NAME(__mpn_sub_n:) + pushl %edi + pushl %esi + pushl %ebx + pushl %ebp + + movl 20(%esp),%edi /* res_ptr */ + movl 24(%esp),%esi /* s1_ptr */ + movl 28(%esp),%ebp /* s2_ptr */ + movl 32(%esp),%ecx /* size */ + + movl (%ebp),%ebx + + decl %ecx + movl %ecx,%edx + shrl $3,%ecx + andl $7,%edx + testl %ecx,%ecx /* zero carry flag */ + jz Lend + pushl %edx + + ALIGN (3) +Loop: movl 28(%edi),%eax /* fetch destination cache line */ + leal 32(%edi),%edi + +L1: movl (%esi),%eax + movl 4(%esi),%edx + sbbl %ebx,%eax + movl 4(%ebp),%ebx + sbbl %ebx,%edx + movl 8(%ebp),%ebx + movl %eax,-32(%edi) + movl %edx,-28(%edi) + +L2: movl 8(%esi),%eax + movl 12(%esi),%edx + sbbl %ebx,%eax + movl 12(%ebp),%ebx + sbbl %ebx,%edx + movl 16(%ebp),%ebx + movl %eax,-24(%edi) + movl %edx,-20(%edi) + +L3: movl 16(%esi),%eax + movl 20(%esi),%edx + sbbl %ebx,%eax + movl 20(%ebp),%ebx + sbbl %ebx,%edx + movl 24(%ebp),%ebx + movl %eax,-16(%edi) + movl %edx,-12(%edi) + +L4: movl 24(%esi),%eax + movl 28(%esi),%edx + sbbl %ebx,%eax + movl 28(%ebp),%ebx + sbbl %ebx,%edx + movl 32(%ebp),%ebx + movl %eax,-8(%edi) + movl %edx,-4(%edi) + + leal 32(%esi),%esi + leal 32(%ebp),%ebp + decl %ecx + jnz Loop + + popl %edx +Lend: + decl %edx /* test %edx w/o clobbering carry */ + js Lend2 + incl %edx +Loop2: + leal 4(%edi),%edi + movl (%esi),%eax + sbbl %ebx,%eax + movl 4(%ebp),%ebx + movl %eax,-4(%edi) + leal 4(%esi),%esi + leal 4(%ebp),%ebp + decl %edx + jnz Loop2 +Lend2: + movl (%esi),%eax + sbbl %ebx,%eax + movl %eax,(%edi) + + sbbl %eax,%eax + negl %eax + + popl %ebp + popl %ebx + popl %esi + popl %edi + ret diff --git a/contrib/libgmp/mpn/x86/pentium/submul_1.S b/contrib/libgmp/mpn/x86/pentium/submul_1.S new file mode 100644 index 0000000..adf2d63 --- /dev/null +++ b/contrib/libgmp/mpn/x86/pentium/submul_1.S @@ -0,0 +1,83 @@ +/* Pentium __mpn_submul_1 -- Multiply a limb vector with a limb and subtract + the result from a second limb vector. + +Copyright (C) 1992, 1994, 1996 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +/* + INPUT PARAMETERS + res_ptr (sp + 4) + s1_ptr (sp + 8) + size (sp + 12) + s2_limb (sp + 16) +*/ + +#include "sysdep.h" +#include "asm-syntax.h" + +#define res_ptr edi +#define s1_ptr esi +#define size ecx +#define s2_limb ebp + + TEXT + ALIGN (3) + GLOBL C_SYMBOL_NAME(__mpn_submul_1) +C_SYMBOL_NAME(__mpn_submul_1:) + + INSN1(push,l ,R(edi)) + INSN1(push,l ,R(esi)) + INSN1(push,l ,R(ebx)) + INSN1(push,l ,R(ebp)) + + INSN2(mov,l ,R(res_ptr),MEM_DISP(esp,20)) + INSN2(mov,l ,R(s1_ptr),MEM_DISP(esp,24)) + INSN2(mov,l ,R(size),MEM_DISP(esp,28)) + INSN2(mov,l ,R(s2_limb),MEM_DISP(esp,32)) + + INSN2(lea,l ,R(res_ptr),MEM_INDEX(res_ptr,size,4)) + INSN2(lea,l ,R(s1_ptr),MEM_INDEX(s1_ptr,size,4)) + INSN1(neg,l ,R(size)) + INSN2(xor,l ,R(ebx),R(ebx)) + ALIGN (3) + +Loop: INSN2(adc,l ,R(ebx),$0) + INSN2(mov,l ,R(eax),MEM_INDEX(s1_ptr,size,4)) + + INSN1(mul,l ,R(s2_limb)) + + INSN2(add,l ,R(eax),R(ebx)) + INSN2(mov,l ,R(ebx),MEM_INDEX(res_ptr,size,4)) + + INSN2(adc,l ,R(edx),$0) + INSN2(sub,l ,R(ebx),R(eax)) + + INSN2(mov,l ,MEM_INDEX(res_ptr,size,4),R(ebx)) + INSN1(inc,l ,R(size)) + + INSN2(mov,l ,R(ebx),R(edx)) + INSN1(jnz, ,Loop) + + INSN2(adc,l ,R(ebx),$0) + INSN2(mov,l ,R(eax),R(ebx)) + INSN1(pop,l ,R(ebp)) + INSN1(pop,l ,R(ebx)) + INSN1(pop,l ,R(esi)) + INSN1(pop,l ,R(edi)) + ret diff --git a/contrib/libgmp/mpn/x86/rshift.S b/contrib/libgmp/mpn/x86/rshift.S new file mode 100644 index 0000000..9abbf9a --- /dev/null +++ b/contrib/libgmp/mpn/x86/rshift.S @@ -0,0 +1,87 @@ +/* i80386 __mpn_rshift -- + +Copyright (C) 1992, 1994 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +/* + INPUT PARAMETERS + res_ptr (sp + 4) + s_ptr (sp + 8) + size (sp + 12) + cnt (sp + 16) +*/ + +#include "sysdep.h" +#include "asm-syntax.h" + +.text + ALIGN (3) + .globl C_SYMBOL_NAME(__mpn_rshift) +C_SYMBOL_NAME(__mpn_rshift:) + pushl %edi + pushl %esi + pushl %ebx + + movl 16(%esp),%edi /* res_ptr */ + movl 20(%esp),%esi /* s_ptr */ + movl 24(%esp),%edx /* size */ + movl 28(%esp),%ecx /* cnt */ + + leal -4(%edi,%edx,4),%edi + leal (%esi,%edx,4),%esi + negl %edx + + movl (%esi,%edx,4),%ebx /* read least significant limb */ + xorl %eax,%eax + shrdl %cl,%ebx,%eax /* compute carry limb */ + incl %edx + jz Lend + pushl %eax /* push carry limb onto stack */ + testb $1,%edx + jnz L1 /* enter loop in the middle */ + movl %ebx,%eax + + ALIGN (3) +Loop: movl (%esi,%edx,4),%ebx /* load next higher limb */ + shrdl %cl,%ebx,%eax /* compute result limb */ + movl %eax,(%edi,%edx,4) /* store it */ + incl %edx +L1: movl (%esi,%edx,4),%eax + shrdl %cl,%eax,%ebx + movl %ebx,(%edi,%edx,4) + incl %edx + jnz Loop + + shrl %cl,%eax /* compute most significant limb */ + movl %eax,(%edi) /* store it */ + + popl %eax /* pop carry limb */ + + popl %ebx + popl %esi + popl %edi + ret + +Lend: shrl %cl,%ebx /* compute most significant limb */ + movl %ebx,(%edi) /* store it */ + + popl %ebx + popl %esi + popl %edi + ret diff --git a/contrib/libgmp/mpn/x86/sub_n.S b/contrib/libgmp/mpn/x86/sub_n.S new file mode 100644 index 0000000..1774f3a --- /dev/null +++ b/contrib/libgmp/mpn/x86/sub_n.S @@ -0,0 +1,106 @@ +/* i80386 __mpn_sub_n -- Add two limb vectors of the same length > 0 and store + sum in a third limb vector. + +Copyright (C) 1992, 1994, 1995 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +/* + INPUT PARAMETERS + res_ptr (sp + 4) + s1_ptr (sp + 8) + s2_ptr (sp + 12) + size (sp + 16) +*/ + +#include "sysdep.h" +#include "asm-syntax.h" + +.text + ALIGN (3) + .globl C_SYMBOL_NAME(__mpn_sub_n) +C_SYMBOL_NAME(__mpn_sub_n:) + pushl %edi + pushl %esi + + movl 12(%esp),%edi /* res_ptr */ + movl 16(%esp),%esi /* s1_ptr */ + movl 20(%esp),%edx /* s2_ptr */ + movl 24(%esp),%ecx /* size */ + + movl %ecx,%eax + shrl $3,%ecx /* compute count for unrolled loop */ + negl %eax + andl $7,%eax /* get index where to start loop */ + jz Loop /* necessary special case for 0 */ + incl %ecx /* adjust loop count */ + shll $2,%eax /* adjustment for pointers... */ + subl %eax,%edi /* ... since they are offset ... */ + subl %eax,%esi /* ... by a constant when we ... */ + subl %eax,%edx /* ... enter the loop */ + shrl $2,%eax /* restore previous value */ +#ifdef PIC +/* Calculate start address in loop for PIC. Due to limitations in some + assemblers, Loop-L0-3 cannot be put into the leal */ + call L0 +L0: leal (%eax,%eax,8),%eax + addl (%esp),%eax + addl $(Loop-L0-3),%eax + addl $4,%esp +#else +/* Calculate start address in loop for non-PIC. */ + leal (Loop - 3)(%eax,%eax,8),%eax +#endif + jmp *%eax /* jump into loop */ + ALIGN (3) +Loop: movl (%esi),%eax + sbbl (%edx),%eax + movl %eax,(%edi) + movl 4(%esi),%eax + sbbl 4(%edx),%eax + movl %eax,4(%edi) + movl 8(%esi),%eax + sbbl 8(%edx),%eax + movl %eax,8(%edi) + movl 12(%esi),%eax + sbbl 12(%edx),%eax + movl %eax,12(%edi) + movl 16(%esi),%eax + sbbl 16(%edx),%eax + movl %eax,16(%edi) + movl 20(%esi),%eax + sbbl 20(%edx),%eax + movl %eax,20(%edi) + movl 24(%esi),%eax + sbbl 24(%edx),%eax + movl %eax,24(%edi) + movl 28(%esi),%eax + sbbl 28(%edx),%eax + movl %eax,28(%edi) + leal 32(%edi),%edi + leal 32(%esi),%esi + leal 32(%edx),%edx + decl %ecx + jnz Loop + + sbbl %eax,%eax + negl %eax + + popl %esi + popl %edi + ret diff --git a/contrib/libgmp/mpn/x86/submul_1.S b/contrib/libgmp/mpn/x86/submul_1.S new file mode 100644 index 0000000..730e732 --- /dev/null +++ b/contrib/libgmp/mpn/x86/submul_1.S @@ -0,0 +1,76 @@ +/* i80386 __mpn_submul_1 -- Multiply a limb vector with a limb and subtract + the result from a second limb vector. + +Copyright (C) 1992, 1994 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + +/* + INPUT PARAMETERS + res_ptr (sp + 4) + s1_ptr (sp + 8) + size (sp + 12) + s2_limb (sp + 16) +*/ + +#include "sysdep.h" +#include "asm-syntax.h" + +#define res_ptr edi +#define s1_ptr esi +#define size ecx +#define s2_limb ebp + + TEXT + ALIGN (3) + GLOBL C_SYMBOL_NAME(__mpn_submul_1) +C_SYMBOL_NAME(__mpn_submul_1:) + + INSN1(push,l ,R(edi)) + INSN1(push,l ,R(esi)) + INSN1(push,l ,R(ebx)) + INSN1(push,l ,R(ebp)) + + INSN2(mov,l ,R(res_ptr),MEM_DISP(esp,20)) + INSN2(mov,l ,R(s1_ptr),MEM_DISP(esp,24)) + INSN2(mov,l ,R(size),MEM_DISP(esp,28)) + INSN2(mov,l ,R(s2_limb),MEM_DISP(esp,32)) + + INSN2(lea,l ,R(res_ptr),MEM_INDEX(res_ptr,size,4)) + INSN2(lea,l ,R(s1_ptr),MEM_INDEX(s1_ptr,size,4)) + INSN1(neg,l ,R(size)) + INSN2(xor,l ,R(ebx),R(ebx)) + ALIGN (3) +Loop: + INSN2(mov,l ,R(eax),MEM_INDEX(s1_ptr,size,4)) + INSN1(mul,l ,R(s2_limb)) + INSN2(add,l ,R(eax),R(ebx)) + INSN2(adc,l ,R(edx),$0) + INSN2(sub,l ,MEM_INDEX(res_ptr,size,4),R(eax)) + INSN2(adc,l ,R(edx),$0) + INSN2(mov,l ,R(ebx),R(edx)) + + INSN1(inc,l ,R(size)) + INSN1(jnz, ,Loop) + INSN2(mov,l ,R(eax),R(ebx)) + + INSN1(pop,l ,R(ebp)) + INSN1(pop,l ,R(ebx)) + INSN1(pop,l ,R(esi)) + INSN1(pop,l ,R(edi)) + ret diff --git a/contrib/libgmp/mpn/x86/syntax.h b/contrib/libgmp/mpn/x86/syntax.h new file mode 100644 index 0000000..c53c73c --- /dev/null +++ b/contrib/libgmp/mpn/x86/syntax.h @@ -0,0 +1,62 @@ +/* asm.h -- Definitions for x86 syntax variations. + +Copyright (C) 1992, 1994, 1995 Free Software Foundation, Inc. + +This file is part of the GNU MP Library. + +The GNU MP Library is free software; you can redistribute it and/or modify +it under the terms of the GNU Library General Public License as published by +the Free Software Foundation; either version 2 of the License, or (at your +option) any later version. + +The GNU MP Library is distributed in the hope that it will be useful, but +WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY +or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Library General Public +License for more details. + +You should have received a copy of the GNU Library General Public License +along with the GNU MP Library; see the file COPYING.LIB. If not, write to +the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, +MA 02111-1307, USA. */ + + +#undef ALIGN + +#if defined (BSD_SYNTAX) || defined (ELF_SYNTAX) +#define R(r) %r +#define MEM(base)(base) +#define MEM_DISP(base,displacement)displacement(R(base)) +#define MEM_INDEX(base,index,size)(R(base),R(index),size) +#ifdef __STDC__ +#define INSN1(mnemonic,size_suffix,dst)mnemonic##size_suffix dst +#define INSN2(mnemonic,size_suffix,dst,src)mnemonic##size_suffix src,dst +#else +#define INSN1(mnemonic,size_suffix,dst)mnemonic/**/size_suffix dst +#define INSN2(mnemonic,size_suffix,dst,src)mnemonic/**/size_suffix src,dst +#endif +#define TEXT .text +#if defined (BSD_SYNTAX) +#define ALIGN(log) .align log +#endif +#if defined (ELF_SYNTAX) +#define ALIGN(log) .align 1<<(log) +#endif +#define GLOBL .globl +#endif + +#ifdef INTEL_SYNTAX +#define R(r) r +#define MEM(base)[base] +#define MEM_DISP(base,displacement)[base+(displacement)] +#define MEM_INDEX(base,index,size)[base+index*size] +#define INSN1(mnemonic,size_suffix,dst)mnemonic dst +#define INSN2(mnemonic,size_suffix,dst,src)mnemonic dst,src +#define TEXT .text +#define ALIGN(log) .align log +#define GLOBL .globl +#endif + +#ifdef BROKEN_ALIGN +#undef ALIGN +#define ALIGN(log) .align log,0x90 +#endif |
