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|
// file config/x86.h: AMD-Athlon configuration options
/*-----------------------------------------------------------------------+
| Copyright 2005-2006, Michel Quercia (michel.quercia@prepas.org) |
| |
| This file is part of Numerix. Numerix is free software; you can |
| redistribute it and/or modify it under the terms of the GNU Lesser |
| General Public License as published by the Free Software Foundation; |
| either version 2.1 of the License, or (at your option) any later |
| version. |
| |
| The Numerix 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 |
| Lesser General Public License for more details. |
| |
| You should have received a copy of the GNU Lesser General Public |
| License along with the GNU MP Library; see the file COPYING. If not, |
| write to the Free Software Foundation, Inc., 59 Temple Place - |
| Suite 330, Boston, MA 02111-1307, USA. |
+-----------------------------------------------------------------------+
| |
| Configuration pour processeurs Athlon |
| |
+-----------------------------------------------------------------------*/
/* Machine word size */
#define bits_32
/* Memory allocation strategy */
@use_alloca@
/* Double-long available */
@have_long_long@
/* +---------------------+
| Debugging options |
+---------------------+ */
/*
When a "debug_xxx" symbol is defined, every call to "xxx" will be
monitored by a special control function that checks arguments
and results. Except when debugging Numerix, leave all the following
symbols undefined !
*/
/* memory allocation */
#undef debug_alloc
/* multiplication-square */
#undef debug_mul_n2
#undef debug_karamul
#undef debug_toommul
#undef debug_mmul
#undef debug_butterfly
#undef debug_smul
#undef debug_sjoin
#undef debug_fftmul
/* division */
#undef debug_div_n2
#undef debug_burnidiv
#undef debug_moddiv
#undef debug_karpdiv
/* square root */
#undef debug_sqrt_n2
#undef debug_zimsqrt
#undef debug_modsqrt
/* pth root */
#undef debug_root
/* modular exponentiation */
#undef debug_powmod
/* gcd */
#undef debug_gcd_n2
#undef debug_lehmer
/* primality */
#undef debug_isprime
/* +------------------------------------------+
| Functions written in assembly language |
+------------------------------------------+ */
#ifdef use_slong
/* Want to use SSE2 instructions (Pentium4 and higher) ? */
#undef use_sse2
/* comparison */
#define assembly_sn_cmp
/* addition/subtraction */
#define assembly_sn_add
#define assembly_sn_sub
#define assembly_sn_inc
#define assembly_sn_dec
/* multiplication and square */
#define assembly_sn_mul_1
#define assembly_sn_mul_n2
#define assembly_sn_sqr_n2
#define assembly_sn_karamul
#define assembly_sn_karasqr
#define assembly_sn_toommul
#define assembly_sn_toomsqr
/* operations modulo BASE^n + 1 */
#define assembly_sn_mmul
#define assembly_sn_msqr
#define assembly_sn_butterfly
/* operations modulo BASE^n - 1 */
#define assembly_sn_ssub
#define assembly_sn_smul
#define assembly_sn_ssqr
#define assembly_sn_sjoin3
/* shifts */
#define assembly_sn_shift_down
#define assembly_sn_shift_up
/* division */
#define assembly_sn_div_1
#define assembly_sn_mod_1
#define assembly_sn_div_n2
#define assembly_sn_burnidiv
/* square root */
#define assembly_sn_sqrt_n2
/* modular exponentiation */
#define assembly_sn_mgdiv_n2
/* gcd */
#define assembly_sn_gcd_2
#define assembly_sn_hgcd_2
#endif /* use_slong */
/* +--------------+
| Thresholds |
+--------------+ */
/*
The constants below tell when to switch between various algorithms
for an operation. They have been setup for an Athlon K7-550Mhz.
*/
/*
-------------------- mul(a,la,b,lb,c)
if 2*lb > fftmul_lim :
if la+lb > fftmul_lim_8 -> fft(13)
if la+lb > fftmul_lim_7 -> fft(12)
if la+lb > fftmul_lim_6 -> fft(11)
if la+lb > fftmul_lim_5 -> fft(10)
if la+lb > fftmul_lim_4 -> fft(9)
if la+lb > fftmul_lim_3 -> fft(8)
if la+lb > fftmul_lim_2 -> fft(7)
if la+lb > fftmul_lim_1 -> smul(24)
else -> smul(12)
if 2*lb <= fftmul_lim :
if lb > toommul_lim -> toommul
if lb > karamul_lim -> karamul
else -> mul_n2
-------------------- remdiv(a,lc,b,lb,c)
if lc > remdiv_lim :
if lb+1 > fftmul_lim_8 -> fft(13)
if lb+1 > fftmul_lim_7 -> fft(12)
if lb+1 > fftmul_lim_6 -> fft(11)
if lb+1 > fftmul_lim_5 -> fft(10)
if lb+1 > fftmul_lim_4 -> fft(9)
if lb+1 > fftmul_lim_3 -> fft(8)
if lb+1 > fftmul_lim_2 -> fft(7)
if lb+1 > fftmul_lim_1 -> smul(24)
else -> smul(12)
if lc <= remdiv_lim : -> toommul
-------------------- smul(a,la,b,lb,c,n)
if n is even and n > smul_lim_even -> smul
if n is odd and n > smul_lim_odd -> smul (assembly version)
else -> toommul
-------------------- mmul(a,b,n)
if n > mmul_lim -> mmul
else -> toommul
*/
#if defined(use_clong)
#define karamul_lim 31
#define toommul_lim 100
#define fftmul_lim 416
#define fftmul_lim_1 1600
#define fftmul_lim_2 7400
#define fftmul_lim_3 20000
#define fftmul_lim_4 60000
#define fftmul_lim_5 190000
#define fftmul_lim_6 450000
#define fftmul_lim_7 1800000
#define fftmul_lim_8 7500000
#define remdiv_lim 72
#define smul_lim_even 20
#define mmul_lim 23
#elif defined(use_dlong)
#define karamul_lim 25
#define toommul_lim 76
#define fftmul_lim 300
#define fftmul_lim_1 1200
#define fftmul_lim_2 6000
#define fftmul_lim_3 14000
#define fftmul_lim_4 30000
#define fftmul_lim_5 90000
#define fftmul_lim_6 300000
#define fftmul_lim_7 900000
#define fftmul_lim_8 3000000
#define remdiv_lim 72
#define smul_lim_even 12
#define mmul_lim 20
#elif defined(use_slong)
#define karamul_lim 23
#define toommul_lim 80
#define fftmul_lim 359
#define fftmul_lim_1 2000
#define fftmul_lim_2 10000
#define fftmul_lim_3 20000
#define fftmul_lim_4 60000
#define fftmul_lim_5 120000
#define fftmul_lim_6 400000
#define fftmul_lim_7 1000000
#define fftmul_lim_8 6000000
#define remdiv_lim 72
#define smul_lim_even 13
#define smul_lim_odd 20
#define mmul_lim 23
#endif
/*
-------------------- sqr(a,la,b)
if 2*la > fftsqr_lim :
if 2*la > fftsqr_lim_8 -> fft(13)
if 2*la > fftsqr_lim_7 -> fft(12)
if 2*la > fftsqr_lim_6 -> fft(11)
if 2*la > fftsqr_lim_5 -> fft(10)
if 2*la > fftsqr_lim_4 -> fft(9)
if 2*la > fftsqr_lim_3 -> fft(8)
if 2*la > fftsqr_lim_2 -> fft(7)
if 2*la > fftsqr_lim_1 -> ssqr(24)
else -> ssqr(12)
if 2*la <= fftsqr_lim :
if la > toomsqr_lim -> toomsqr
if la > karasqr_lim -> karasqr
else -> sqr_n2
-------------------- remsqrt(a,la,b)
if lc > remsqrt_lim :
if lb+1 > fftsqr_lim_8 -> fft(13)
if lb+1 > fftsqr_lim_7 -> fft(12)
if lb+1 > fftsqr_lim_6 -> fft(11)
if lb+1 > fftsqr_lim_5 -> fft(10)
if lb+1 > fftsqr_lim_4 -> fft(9)
if lb+1 > fftsqr_lim_3 -> fft(8)
if lb+1 > fftsqr_lim_2 -> fft(7)
if lb+1 > fftsqr_lim_1 -> ssqr(24)
else -> ssqr(12)
if lc <= remsqrt_lim : -> toomsqr
-------------------- ssqr(a,la,b,n)
if n is even and n > ssqr_lim_even -> ssqr
if n is odd and n > ssqr_lim_odd -> ssqr (assembly version)
else -> toomsqr
-------------------- msqr(a,n)
if n > msqr_lim -> msqr
else -> toomsqr
*/
#if defined(use_clong)
#define karasqr_lim 43
#define toomsqr_lim 100
#define fftsqr_lim 414
#define fftsqr_lim_1 1600
#define fftsqr_lim_2 6800
#define fftsqr_lim_3 20000
#define fftsqr_lim_4 60000
#define fftsqr_lim_5 190000
#define fftsqr_lim_6 450000
#define fftsqr_lim_7 1800000
#define fftsqr_lim_8 7500000
#define remsqrt_lim 144
#define ssqr_lim_even 20
#define msqr_lim 23
#elif defined(use_dlong)
#define karasqr_lim 41
#define toomsqr_lim 76
#define fftsqr_lim 366
#define fftsqr_lim_1 1200
#define fftsqr_lim_2 6000
#define fftsqr_lim_3 14000
#define fftsqr_lim_4 30000
#define fftsqr_lim_5 90000
#define fftsqr_lim_6 300000
#define fftsqr_lim_7 900000
#define fftsqr_lim_8 3000000
#define remsqrt_lim 144
#define ssqr_lim_even 17
#define msqr_lim 26
#elif defined(use_slong)
#define karasqr_lim 47
#define toomsqr_lim 80
#define fftsqr_lim 377
#define fftsqr_lim_1 2000
#define fftsqr_lim_2 10000
#define fftsqr_lim_3 20000
#define fftsqr_lim_4 60000
#define fftsqr_lim_5 120000
#define fftsqr_lim_6 400000
#define fftsqr_lim_7 1000000
#define fftsqr_lim_8 6000000
#define remsqrt_lim 144
#define ssqr_lim_even 15
#define ssqr_lim_odd 28
#define msqr_lim 29
#endif
/*
-------------------- div(a,lc,b,lb,c)
if lb > karpdiv_lim_1 and lc > 1.50*lb -> karpdiv
if lb > karpdiv_lim_2 and lc > karpdiv_lim_2 -> karpdiv
if lb > moddiv_lim and lc > div_small_c_lim -> moddiv
if lb > burnidiv_lim and lc > div_small_c_lim -> burnidiv
else -> div_n2
-------------------- inv(a,la,b)
if la > karpinv_lim -> karpinv
else -> moddiv
*/
#if defined(use_clong)
#define div_small_c_lim 15
#define burnidiv_lim 30
#define moddiv_lim 269
#define karpinv_lim 144
#define karpdiv_lim_1 285
#define karpdiv_lim_2 570
#elif defined(use_dlong)
#define div_small_c_lim 17
#define burnidiv_lim 35
#define moddiv_lim 214
#define karpinv_lim 144
#define karpdiv_lim_1 2500
#define karpdiv_lim_2 5000
#elif defined(use_slong)
#define div_small_c_lim 26
#define burnidiv_lim 50
#define moddiv_lim 224
#define karpinv_lim 144
#define karpdiv_lim_1 224
#define karpdiv_lim_2 448
#endif
/* -------------------- sqrt(a,la,b)
if la > modsqrt_lim -> modsqrt
if la > zimsqrt_lim -> zimsqrt
else -> sqrt_n2
*/
#if defined(use_clong)
#define zimsqrt_lim 120
#define modsqrt_lim 350
#elif defined(use_dlong)
#define zimsqrt_lim 172
#define modsqrt_lim 287
#elif defined(use_slong)
#define zimsqrt_lim 115
#define modsqrt_lim 360
#endif
/* -------------------- powmod(a,la,b,lb,c,lc,d)
if c mod 2 = 0 -> powmod
if lc = 1 -> powmod
if c mod 2 = 1 -> powmod_mg with ...
if lc <= montgomery_lim_1 -> mgdiv_n2
if lc <= montgomery_lim_2 -> mgdiv_i, toommul, smul
else -> mgdiv_i, fftmul
*/
#if defined(use_clong)
#define montgomery_lim_1 150
#define montgomery_lim_2 10000 /* > 1000, et trop long pour tre dtermin */
#elif defined(use_dlong)
#define montgomery_lim_1 80
#define montgomery_lim_2 10000 /* > 1000, et trop long pour tre dtermin */
#elif defined(use_slong)
#define montgomery_lim_1 104
#define montgomery_lim_2 10000 /* > 1000, et trop long pour tre dtermi*/
#endif
/* -------------------- gcd(a,b,mode)
mode = 0
if min(la,lb) <= lehmer_lim_0 -> gcd_n2
else -> lehmer
mode = 1 or 2
if min(la,lb) <= lehmer_lim_1 -> gcd_n2
else -> lehmer
*/
#if defined (use_clong)
#define lehmer_lim_0 600
#define lehmer_lim_1 48
#elif defined (use_dlong)
#define lehmer_lim_0 1060
#define lehmer_lim_1 300
#elif defined (use_slong)
#define lehmer_lim_0 370
#define lehmer_lim_1 48
#endif
/* -------------------- End of config file -------------------- */
|
