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|
/* biginit.c - C routines for bignumbers */
/*
Note: This is NOT the biginit.c file that come the standard BigNum library,
but is a customized version specific to Fractint. The biggest difference
is in the allocations of memory for the big numbers.
*/
#include <string.h>
#include <malloc.h>
/* see Fractint.c for a description of the "include" hierarchy */
#include "port.h"
#include "prototyp.h"
#include "fractype.h"
/* appears to me that avoiding the start of extraseg is unnecessary. If
correct, later we can eliminate ENDVID here. */
#ifdef ENDVID
#undef ENDVID
#endif
#define ENDVID 0
/* globals */
#ifdef BIG_BASED
_segment bignum_seg;
#endif
int bnstep, bnlength, intlength, rlength, padding, shiftfactor, decimals;
int bflength, rbflength, bfdecimals;
/* used internally by bignum.c routines */
static bn_t bnroot=BIG_NULL;
static bn_t stack_ptr; /* memory allocator base after global variables */
bn_t bntmp1, bntmp2, bntmp3, bntmp4, bntmp5, bntmp6; /* rlength */
bn_t bntmpcpy1, bntmpcpy2; /* bnlength */
/* used by other routines */
bn_t bnxmin, bnxmax, bnymin, bnymax, bnx3rd, bny3rd; /* bnlength */
bn_t bnxdel, bnydel, bnxdel2, bnydel2, bnclosenuff; /* bnlength */
bn_t bntmpsqrx, bntmpsqry, bntmp; /* rlength */
_BNCMPLX /* bnold, bnnew, */ bnparm, bnsaved; /* bnlength */
_BNCMPLX bnold, bnnew; /* rlength */
bn_t bn_pi; /* TAKES NO SPACE */
bf_t bftmp1, bftmp2, bftmp3, bftmp4, bftmp5, bftmp6; /* rbflength+2 */
bf_t bftmpcpy1, bftmpcpy2; /* rbflength+2 */
bf_t bfxdel, bfydel, bfxdel2, bfydel2, bfclosenuff; /* rbflength+2 */
bf_t bftmpsqrx, bftmpsqry; /* rbflength+2 */
_BFCMPLX /* bfold, bfnew, */ bfparm, bfsaved; /* bflength+2 */
_BFCMPLX bfold, bfnew; /* rbflength+2 */
bf_t bf_pi; /* TAKES NO SPACE */
bf_t big_pi; /* bflength+2 */
/* for testing only */
/* used by other routines */
bf_t bfxmin, bfxmax, bfymin, bfymax, bfx3rd, bfy3rd; /* bflength+2 */
bf_t bfsxmin, bfsxmax, bfsymin, bfsymax, bfsx3rd, bfsy3rd;/* bflength+2 */
bf_t bfparms[10]; /* (bflength+2)*10 */
bf_t bftmp;
bf_t bf10tmp; /* dec+4 */
#define LOG10_256 2.4082399653118
#define LOG_256 5.5451774444795
static int save_bf_vars(void);
static int restore_bf_vars(void);
/*********************************************************************/
/* given bnlength, calc_lengths will calculate all the other lengths */
void calc_lengths(void)
{
#if 0
#ifdef USE_BIGNUM_C_CODE
bnstep = 2;
#else /* use 80x86 asm code */
if (cpu >= 386)
bnstep = 4;
else /* cpu <= 286 */
bnstep = 2;
#endif
#else
bnstep = 4; /* use 4 in all cases */
#endif
if (bnlength % bnstep != 0)
bnlength = (bnlength / bnstep + 1) * bnstep;
if (bnlength == bnstep)
padding = bnlength;
else
padding = 2*bnstep;
rlength = bnlength + padding;
/* This shiftfactor assumes non-full multiplications will be performed.*/
/* Change to bnlength-intlength for full multiplications. */
shiftfactor = padding - intlength;
bflength = bnlength+bnstep; /* one extra step for added precision */
rbflength = bflength + padding;
bfdecimals = (int)((bflength-2)*LOG10_256);
}
/************************************************************************/
/* intended only to be called from init_bf_dec() or init_bf_length(). */
/* initialize bignumber global variables */
long maxptr = 0;
long startstack = 0;
long maxstack = 0;
int bf_save_len = 0;
/* ??? for some strange reason, msc 7.0 hangs here without this pragma. ??? */
#ifndef XFRACT
#pragma optimize( "", off )
#endif
static void init_bf_2(void)
{
int i;
long ptr;
save_bf_vars(); /* copy corners values for conversion */
calc_lengths();
/* allocate all the memory at once within the same segment (DOS) */
#if defined(BIG_FAR) || defined(BIG_ANSI_C)
bnroot = (bf_t)MK_FP(extraseg,ENDVID); /* ENDVID is to avoid videotable */
#else /* BASED or NEAR */
bnroot = (bf_t)ENDVID; /* ENDVID is to avoid videotable */
#endif
#ifdef BIG_BASED
bignum_seg = (_segment)extraseg;
#endif
/* at present time one call would suffice, but this logic allows
multiple kinds of alternate math eg long double */
if((i = find_alternate_math(fractype, BIGNUM)) > -1)
bf_math = alternatemath[i].math;
else if((i = find_alternate_math(fractype, BIGFLT)) > -1)
bf_math = alternatemath[i].math;
else
bf_math = 1; /* maybe called from cmdfiles.c and fractype not set */
floatflag=1;
/* Now split up the memory among the pointers */
/* internal pointers */
ptr = 0;
bntmp1 = bnroot+ptr; ptr += rlength;
bntmp2 = bnroot+ptr; ptr += rlength;
bntmp3 = bnroot+ptr; ptr += rlength;
bntmp4 = bnroot+ptr; ptr += rlength;
bntmp5 = bnroot+ptr; ptr += rlength;
bntmp6 = bnroot+ptr; ptr += rlength;
bftmp1 = bnroot+ptr; ptr += rbflength+2;
bftmp2 = bnroot+ptr; ptr += rbflength+2;
bftmp3 = bnroot+ptr; ptr += rbflength+2;
bftmp4 = bnroot+ptr; ptr += rbflength+2;
bftmp5 = bnroot+ptr; ptr += rbflength+2;
bftmp6 = bnroot+ptr; ptr += rbflength+2;
bftmpcpy1 = bnroot+ptr; ptr += (rbflength+2)*2;
bftmpcpy2 = bnroot+ptr; ptr += (rbflength+2)*2;
bntmpcpy1 = bnroot+ptr; ptr += (rlength*2);
bntmpcpy2 = bnroot+ptr; ptr += (rlength*2);
if (bf_math == BIGNUM)
{
bnxmin = bnroot+ptr; ptr += bnlength;
bnxmax = bnroot+ptr; ptr += bnlength;
bnymin = bnroot+ptr; ptr += bnlength;
bnymax = bnroot+ptr; ptr += bnlength;
bnx3rd = bnroot+ptr; ptr += bnlength;
bny3rd = bnroot+ptr; ptr += bnlength;
bnxdel = bnroot+ptr; ptr += bnlength;
bnydel = bnroot+ptr; ptr += bnlength;
bnxdel2 = bnroot+ptr; ptr += bnlength;
bnydel2 = bnroot+ptr; ptr += bnlength;
bnold.x = bnroot+ptr; ptr += rlength;
bnold.y = bnroot+ptr; ptr += rlength;
bnnew.x = bnroot+ptr; ptr += rlength;
bnnew.y = bnroot+ptr; ptr += rlength;
bnsaved.x = bnroot+ptr; ptr += bnlength;
bnsaved.y = bnroot+ptr; ptr += bnlength;
bnclosenuff= bnroot+ptr; ptr += bnlength;
bnparm.x = bnroot+ptr; ptr += bnlength;
bnparm.y = bnroot+ptr; ptr += bnlength;
bntmpsqrx = bnroot+ptr; ptr += rlength;
bntmpsqry = bnroot+ptr; ptr += rlength;
bntmp = bnroot+ptr; ptr += rlength;
}
if (bf_math == BIGFLT)
{
bfxdel = bnroot+ptr; ptr += bflength+2;
bfydel = bnroot+ptr; ptr += bflength+2;
bfxdel2 = bnroot+ptr; ptr += bflength+2;
bfydel2 = bnroot+ptr; ptr += bflength+2;
bfold.x = bnroot+ptr; ptr += rbflength+2;
bfold.y = bnroot+ptr; ptr += rbflength+2;
bfnew.x = bnroot+ptr; ptr += rbflength+2;
bfnew.y = bnroot+ptr; ptr += rbflength+2;
bfsaved.x = bnroot+ptr; ptr += bflength+2;
bfsaved.y = bnroot+ptr; ptr += bflength+2;
bfclosenuff= bnroot+ptr; ptr += bflength+2;
bfparm.x = bnroot+ptr; ptr += bflength+2;
bfparm.y = bnroot+ptr; ptr += bflength+2;
bftmpsqrx = bnroot+ptr; ptr += rbflength+2;
bftmpsqry = bnroot+ptr; ptr += rbflength+2;
bftmp = bnroot+ptr; ptr += rbflength+2;
}
big_pi = bnroot+ptr; ptr += bflength+2; /* needed by both BIGNUM & BIGFLT */
bf10tmp = bnroot+ptr; ptr += bfdecimals+4;
/* ptr needs to be 16-bit aligned on some systems */
ptr = (ptr+1)&~1;
stack_ptr = bnroot + ptr;
startstack = ptr;
/* max stack offset from bnroot */
maxstack = (long)0x10000l-(bflength+2)*22-ENDVID;
/* sanity check */
/* leave room for NUMVARS variables allocated from stack */
/* also leave room for the safe area at top of segment */
if(ptr + NUMVARS*(bflength+2) > maxstack)
{
char msg[80];
char nmsg[80];
static FCODE fmsg[] = {"Requested precision of %d too high, aborting"};
far_strcpy(nmsg,fmsg);
sprintf(msg,nmsg,decimals);
stopmsg(0,msg);
goodbye();
}
/* room for 6 corners + 6 save corners + 10 params at top of extraseg */
/* this area is safe - use for variables that are used outside fractal*/
/* generation - e.g. zoom box variables */
ptr = maxstack;
bfxmin = bnroot+ptr; ptr += bflength+2;
bfxmax = bnroot+ptr; ptr += bflength+2;
bfymin = bnroot+ptr; ptr += bflength+2;
bfymax = bnroot+ptr; ptr += bflength+2;
bfx3rd = bnroot+ptr; ptr += bflength+2;
bfy3rd = bnroot+ptr; ptr += bflength+2;
for(i=0;i<10;i++)
{
bfparms[i] = bnroot+ptr; ptr += bflength+2;
}
bfsxmin = bnroot+ptr; ptr += bflength+2;
bfsxmax = bnroot+ptr; ptr += bflength+2;
bfsymin = bnroot+ptr; ptr += bflength+2;
bfsymax = bnroot+ptr; ptr += bflength+2;
bfsx3rd = bnroot+ptr; ptr += bflength+2;
bfsy3rd = bnroot+ptr; ptr += bflength+2;
/* end safe vars */
/* good citizens initialize variables */
if(bf_save_len) /* leave save area */
far_memset(bnroot+(bf_save_len+2)*22,0,(unsigned)(startstack-(bf_save_len+2)*22));
else /* first time through - nothing saved */
{
/* high variables */
far_memset(bnroot+maxstack,0,(bflength+2)*22);
/* low variables */
far_memset(bnroot,0,(unsigned)startstack);
}
restore_bf_vars();
/* Initialize the value of pi. Needed for trig functions. */
/* init_big_pi(); */
/* call to init_big_pi() has been moved to fractal setup routine */
/* so as to use only when necessary. */
}
/**********************************************************/
/* save current corners and parameters to start of bnroot */
/* to preserve values across calls to init_bf() */
static int save_bf_vars(void)
{
int ret;
unsigned int mem;
if(bnroot != BIG_NULL)
{
mem = (bflength+2)*22; /* 6 corners + 6 save corners + 10 params */
bf_save_len = bflength;
far_memcpy(bnroot,bfxmin,mem);
/* scrub old high area */
far_memset(bfxmin,0,mem);
ret = 0;
}
else
{
bf_save_len = 0;
ret = -1;
}
return(ret);
}
/************************************************************************/
/* copy current corners and parameters from save location */
static int restore_bf_vars(void)
{
bf_t ptr;
int i;
if(bf_save_len == 0)
return(-1);
ptr = bnroot;
convert_bf(bfxmin,ptr,bflength,bf_save_len); ptr += bf_save_len+2;
convert_bf(bfxmax,ptr,bflength,bf_save_len); ptr += bf_save_len+2;
convert_bf(bfymin,ptr,bflength,bf_save_len); ptr += bf_save_len+2;
convert_bf(bfymax,ptr,bflength,bf_save_len); ptr += bf_save_len+2;
convert_bf(bfx3rd,ptr,bflength,bf_save_len); ptr += bf_save_len+2;
convert_bf(bfy3rd,ptr,bflength,bf_save_len); ptr += bf_save_len+2;
for(i=0;i<10;i++)
{
convert_bf(bfparms[i],ptr,bflength,bf_save_len);
ptr += bf_save_len+2;
}
convert_bf(bfsxmin,ptr,bflength,bf_save_len); ptr += bf_save_len+2;
convert_bf(bfsxmax,ptr,bflength,bf_save_len); ptr += bf_save_len+2;
convert_bf(bfsymin,ptr,bflength,bf_save_len); ptr += bf_save_len+2;
convert_bf(bfsymax,ptr,bflength,bf_save_len); ptr += bf_save_len+2;
convert_bf(bfsx3rd,ptr,bflength,bf_save_len); ptr += bf_save_len+2;
convert_bf(bfsy3rd,ptr,bflength,bf_save_len); ptr += bf_save_len+2;
/* scrub save area */
far_memset(bnroot,0,(bf_save_len+2)*22);
return(0);
}
/*******************************************/
/* free corners and parameters save memory */
void free_bf_vars()
{
bf_save_len = bf_math = 0;
bnstep=bnlength=intlength=rlength=padding=shiftfactor=decimals=0;
bflength=rbflength=bfdecimals=0;
}
#ifndef XFRACT
#pragma optimize( "", on )
#endif
/************************************************************************/
/* Memory allocator routines start here. */
/************************************************************************/
/* Allocates a bn_t variable on stack */
bn_t alloc_stack(size_t size)
{
long stack_addr;
if(bf_math == 0)
{
static FCODE msg[] = {"alloc_stack called with bf_math==0"};
stopmsg(0,msg);
return(0);
}
stack_addr = (long)(stack_ptr-bnroot)+size; /* +ENDVID, part of bnroot */
if(stack_addr > maxstack)
{
static FCODE msg[] = {"Aborting, Out of Bignum Stack Space"};
stopmsg(0,msg);
goodbye();
}
/* keep track of max ptr */
if(stack_addr > maxptr)
maxptr = stack_addr;
stack_ptr += size; /* increment stack pointer */
return(stack_ptr - size);
}
/************************************************************************/
/* Returns stack pointer offset so it can be saved. */
int save_stack(void)
{
return(stack_ptr - bnroot);
}
/************************************************************************/
/* Restores stack pointer, effectively freeing local variables */
/* allocated since save_stack() */
void restore_stack(int old_offset)
{
stack_ptr = bnroot+old_offset;
}
/************************************************************************/
/* Memory allocator routines end here. */
/************************************************************************/
/************************************************************************/
/* initialize bignumber global variables */
/* dec = decimal places after decimal point */
/* intl = bytes for integer part (1, 2, or 4) */
void init_bf_dec(int dec)
{
if(bfdigits)
decimals=bfdigits; /* blindly force */
else
decimals = dec;
if(bailout > 10) /* arbitrary value */
/* using 2 doesn't gain much and requires another test */
intlength = 4;
else if (fractype == FPMANDELZPOWER || fractype == FPJULIAZPOWER ||
fractype == DIVIDEBROT5)
intlength = 4; /* 2 leaves artifacts in the center of the lakes */
/* the bailout tests need greater dynamic range */
else if(bailoutest == Real || bailoutest == Imag || bailoutest == And ||
bailoutest == Manr)
intlength = 2;
else
intlength = 1;
/* conservative estimate */
bnlength = intlength + (int)(decimals/LOG10_256) + 1; /* round up */
init_bf_2();
}
/************************************************************************/
/* initialize bignumber global variables */
/* bnl = bignumber length */
/* intl = bytes for integer part (1, 2, or 4) */
void init_bf_length(int bnl)
{
bnlength = bnl;
if(bailout > 10) /* arbitrary value */
/* using 2 doesn't gain much and requires another test */
intlength = 4;
else if (fractype == FPMANDELZPOWER || fractype == FPJULIAZPOWER ||
fractype == DIVIDEBROT5)
intlength = 4; /* 2 leaves artifacts in the center of the lakes */
/* the bailout tests need greater dynamic range */
else if(bailoutest == Real || bailoutest == Imag || bailoutest == And ||
bailoutest == Manr)
intlength = 2;
else
intlength = 1;
/* conservative estimate */
decimals = (int)((bnlength-intlength)*LOG10_256);
init_bf_2();
}
void init_big_pi(void)
{
/* What, don't you recognize the first 700 digits of pi, */
/* in base 256, in reverse order? */
int length, pi_offset;
static BFCODE pi_table[] = {
0x44, 0xD5, 0xDB, 0x69, 0x17, 0xDF, 0x2E, 0x56, 0x87, 0x1A,
0xA0, 0x8C, 0x6F, 0xCA, 0xBB, 0x57, 0x5C, 0x9E, 0x82, 0xDF,
0x00, 0x3E, 0x48, 0x7B, 0x31, 0x53, 0x60, 0x87, 0x23, 0xFD,
0xFA, 0xB5, 0x3D, 0x32, 0xAB, 0x52, 0x05, 0xAD, 0xC8, 0x1E,
0x50, 0x2F, 0x15, 0x6B, 0x61, 0xFD, 0xDF, 0x16, 0x75, 0x3C,
0xF8, 0x22, 0x32, 0xDB, 0xF8, 0xE9, 0xA5, 0x8E, 0xCC, 0xA3,
0x1F, 0xFB, 0xFE, 0x25, 0x9F, 0x67, 0x79, 0x72, 0x2C, 0x40,
0xC6, 0x00, 0xA1, 0xD6, 0x0A, 0x32, 0x60, 0x1A, 0xBD, 0xC0,
0x79, 0x55, 0xDB, 0xFB, 0xD3, 0xB9, 0x39, 0x5F, 0x0B, 0xD2,
0x0F, 0x74, 0xC8, 0x45, 0x57, 0xA8, 0xCB, 0xC0, 0xB3, 0x4B,
0x2E, 0x19, 0x07, 0x28, 0x0F, 0x66, 0xFD, 0x4A, 0x33, 0xDE,
0x04, 0xD0, 0xE3, 0xBE, 0x09, 0xBD, 0x5E, 0xAF, 0x44, 0x45,
0x81, 0xCC, 0x2C, 0x95, 0x30, 0x9B, 0x1F, 0x51, 0xFC, 0x6D,
0x6F, 0xEC, 0x52, 0x3B, 0xEB, 0xB2, 0x39, 0x13, 0xB5, 0x53,
0x6C, 0x3E, 0xAF, 0x6F, 0xFB, 0x68, 0x63, 0x24, 0x6A, 0x19,
0xC2, 0x9E, 0x5C, 0x5E, 0xC4, 0x60, 0x9F, 0x40, 0xB6, 0x4F,
0xA9, 0xC1, 0xBA, 0x06, 0xC0, 0x04, 0xBD, 0xE0, 0x6C, 0x97,
0x3B, 0x4C, 0x79, 0xB6, 0x1A, 0x50, 0xFE, 0xE3, 0xF7, 0xDE,
0xE8, 0xF6, 0xD8, 0x79, 0xD4, 0x25, 0x7B, 0x1B, 0x99, 0x80,
0xC9, 0x72, 0x53, 0x07, 0x9B, 0xC0, 0xF1, 0x49, 0xD3, 0xEA,
0x0F, 0xDB, 0x48, 0x12, 0x0A, 0xD0, 0x24, 0xD7, 0xD0, 0x37,
0x3D, 0x02, 0x9B, 0x42, 0x72, 0xDF, 0xFE, 0x1B, 0x06, 0x77,
0x3F, 0x36, 0x62, 0xAA, 0xD3, 0x4E, 0xA6, 0x6A, 0xC1, 0x56,
0x9F, 0x44, 0x1A, 0x40, 0x73, 0x20, 0xC1, 0x85, 0xD8, 0x75,
0x6F, 0xE0, 0xBE, 0x5E, 0x8B, 0x3B, 0xC3, 0xA5, 0x84, 0x7D,
0xB4, 0x9F, 0x6F, 0x45, 0x19, 0x86, 0xEE, 0x8C, 0x88, 0x0E,
0x43, 0x82, 0x3E, 0x59, 0xCA, 0x66, 0x76, 0x01, 0xAF, 0x39,
0x1D, 0x65, 0xF1, 0xA1, 0x98, 0x2A, 0xFB, 0x7E, 0x50, 0xF0,
0x3B, 0xBA, 0xE4, 0x3B, 0x7A, 0x13, 0x6C, 0x0B, 0xEF, 0x6E,
0xA3, 0x33, 0x51, 0xAB, 0x28, 0xA7, 0x0F, 0x96, 0x68, 0x2F,
0x54, 0xD8, 0xD2, 0xA0, 0x51, 0x6A, 0xF0, 0x88, 0xD3, 0xAB,
0x61, 0x9C, 0x0C, 0x67, 0x9A, 0x6C, 0xE9, 0xF6, 0x42, 0x68,
0xC6, 0x21, 0x5E, 0x9B, 0x1F, 0x9E, 0x4A, 0xF0, 0xC8, 0x69,
0x04, 0x20, 0x84, 0xA4, 0x82, 0x44, 0x0B, 0x2E, 0x39, 0x42,
0xF4, 0x83, 0xF3, 0x6F, 0x6D, 0x0F, 0xC5, 0xAC, 0x96, 0xD3,
0x81, 0x3E, 0x89, 0x23, 0x88, 0x1B, 0x65, 0xEB, 0x02, 0x23,
0x26, 0xDC, 0xB1, 0x75, 0x85, 0xE9, 0x5D, 0x5D, 0x84, 0xEF,
0x32, 0x80, 0xEC, 0x5D, 0x60, 0xAC, 0x7C, 0x48, 0x91, 0xA9,
0x21, 0xFB, 0xCC, 0x09, 0xD8, 0x61, 0x93, 0x21, 0x28, 0x66,
0x1B, 0xE8, 0xBF, 0xC4, 0xAF, 0xB9, 0x4B, 0x6B, 0x98, 0x48,
0x8F, 0x3B, 0x77, 0x86, 0x95, 0x28, 0x81, 0x53, 0x32, 0x7A,
0x5C, 0xCF, 0x24, 0x6C, 0x33, 0xBA, 0xD6, 0xAF, 0x1E, 0x93,
0x87, 0x9B, 0x16, 0x3E, 0x5C, 0xCE, 0xF6, 0x31, 0x18, 0x74,
0x5D, 0xC5, 0xA9, 0x2B, 0x2A, 0xBC, 0x6F, 0x63, 0x11, 0x14,
0xEE, 0xB3, 0x93, 0xE9, 0x72, 0x7C, 0xAF, 0x86, 0x54, 0xA1,
0xCE, 0xE8, 0x41, 0x11, 0x34, 0x5C, 0xCC, 0xB4, 0xB6, 0x10,
0xAB, 0x2A, 0x6A, 0x39, 0xCA, 0x55, 0x40, 0x14, 0xE8, 0x63,
0x62, 0x98, 0x48, 0x57, 0x94, 0xAB, 0x55, 0xAA, 0xF3, 0x25,
0x55, 0xE6, 0x60, 0x5C, 0x60, 0x55, 0xDA, 0x2F, 0xAF, 0x78,
0x27, 0x4B, 0x31, 0xBD, 0xC1, 0x77, 0x15, 0xD7, 0x3E, 0x8A,
0x1E, 0xB0, 0x8B, 0x0E, 0x9E, 0x6C, 0x0E, 0x18, 0x3A, 0x60,
0xB0, 0xDC, 0x79, 0x8E, 0xEF, 0x38, 0xDB, 0xB8, 0x18, 0x79,
0x41, 0xCA, 0xF0, 0x85, 0x60, 0x28, 0x23, 0xB0, 0xD1, 0xC5,
0x13, 0x60, 0xF2, 0x2A, 0x39, 0xD5, 0x30, 0x9C, 0xB5, 0x59,
0x5A, 0xC2, 0x1D, 0xA4, 0x54, 0x7B, 0xEE, 0x4A, 0x15, 0x82,
0x58, 0xCD, 0x8B, 0x71, 0x58, 0xB6, 0x8E, 0x72, 0x8F, 0x74,
0x95, 0x0D, 0x7E, 0x3D, 0x93, 0xF4, 0xA3, 0xFE, 0x58, 0xA4,
0x69, 0x4E, 0x57, 0x71, 0xD8, 0x20, 0x69, 0x63, 0x16, 0xFC,
0x8E, 0x85, 0xE2, 0xF2, 0x01, 0x08, 0xF7, 0x6C, 0x91, 0xB3,
0x47, 0x99, 0xA1, 0x24, 0x99, 0x7F, 0x2C, 0xF1, 0x45, 0x90,
0x7C, 0xBA, 0x96, 0x7E, 0x26, 0x6A, 0xED, 0xAF, 0xE1, 0xB8,
0xB7, 0xDF, 0x1A, 0xD0, 0xDB, 0x72, 0xFD, 0x2F, 0xAC, 0xB5,
0xDF, 0x98, 0xA6, 0x0B, 0x31, 0xD1, 0x1B, 0xFB, 0x79, 0x89,
0xD9, 0xD5, 0x16, 0x92, 0x17, 0x09, 0x47, 0xB5, 0xB5, 0xD5,
0x84, 0x3F, 0xDD, 0x50, 0x7C, 0xC9, 0xB7, 0x29, 0xAC, 0xC0,
0x6C, 0x0C, 0xE9, 0x34, 0xCF, 0x66, 0x54, 0xBE, 0x77, 0x13,
0xD0, 0x38, 0xE6, 0x21, 0x28, 0x45, 0x89, 0x6C, 0x4E, 0xEC,
0x98, 0xFA, 0x2E, 0x08, 0xD0, 0x31, 0x9F, 0x29, 0x22, 0x38,
0x09, 0xA4, 0x44, 0x73, 0x70, 0x03, 0x2E, 0x8A, 0x19, 0x13,
0xD3, 0x08, 0xA3, 0x85, 0x88, 0x6A, 0x3F, 0x24,
/* . */ 0x03, 0x00, 0x00, 0x00
/* <- up to intlength 4 -> */
/* or bf_t int length of 2 + 2 byte exp */
};
length = bflength+2; /* 2 byte exp */
pi_offset = sizeof pi_table - length;
_fmemcpy(big_pi, pi_table + pi_offset, length);
/* notice that bf_pi and bn_pi can share the same memory space */
bf_pi = big_pi;
bn_pi = big_pi + (bflength-2) - (bnlength-intlength);
return;
}
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