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|
/*---------------------------------------------------------------------------+
| polynomial_Xsig.S |
| |
| Fixed point arithmetic polynomial evaluation. |
| |
| Copyright (C) 1992,1993,1994,1995 |
| W. Metzenthen, 22 Parker St, Ormond, Vic 3163, |
| Australia. E-mail billm@jacobi.maths.monash.edu.au |
| |
| Call from C as: |
| void polynomial_Xsig(Xsig *accum, unsigned long long x, |
| unsigned long long terms[], int n) |
| |
| Computes: |
| terms[0] + (terms[1] + (terms[2] + ... + (terms[n-1]*x)*x)*x)*x) ... )*x |
| and adds the result to the 12 byte Xsig. |
| The terms[] are each 8 bytes, but all computation is performed to 12 byte |
| precision. |
| |
| This function must be used carefully: most overflow of intermediate |
| results is controlled, but overflow of the result is not. |
| |
+---------------------------------------------------------------------------*/
.file "polynomial_Xsig.S"
#include "fpu_emu.h"
#define TERM_SIZE $8
#define SUM_MS -20(%ebp) /* sum ms long */
#define SUM_MIDDLE -24(%ebp) /* sum middle long */
#define SUM_LS -28(%ebp) /* sum ls long */
#define ACCUM_MS -4(%ebp) /* accum ms long */
#define ACCUM_MIDDLE -8(%ebp) /* accum middle long */
#define ACCUM_LS -12(%ebp) /* accum ls long */
#define OVERFLOWED -16(%ebp) /* addition overflow flag */
.text
ENTRY(polynomial_Xsig)
pushl %ebp
movl %esp,%ebp
subl $32,%esp
pushl %esi
pushl %edi
pushl %ebx
movl PARAM2,%esi /* x */
movl PARAM3,%edi /* terms */
movl TERM_SIZE,%eax
mull PARAM4 /* n */
addl %eax,%edi
movl 4(%edi),%edx /* terms[n] */
movl %edx,SUM_MS
movl (%edi),%edx /* terms[n] */
movl %edx,SUM_MIDDLE
xor %eax,%eax
movl %eax,SUM_LS
movb %al,OVERFLOWED
subl TERM_SIZE,%edi
decl PARAM4
js L_accum_done
L_accum_loop:
xor %eax,%eax
movl %eax,ACCUM_MS
movl %eax,ACCUM_MIDDLE
movl SUM_MIDDLE,%eax
mull (%esi) /* x ls long */
movl %edx,ACCUM_LS
movl SUM_MIDDLE,%eax
mull 4(%esi) /* x ms long */
addl %eax,ACCUM_LS
adcl %edx,ACCUM_MIDDLE
adcl $0,ACCUM_MS
movl SUM_MS,%eax
mull (%esi) /* x ls long */
addl %eax,ACCUM_LS
adcl %edx,ACCUM_MIDDLE
adcl $0,ACCUM_MS
movl SUM_MS,%eax
mull 4(%esi) /* x ms long */
addl %eax,ACCUM_MIDDLE
adcl %edx,ACCUM_MS
testb $0xff,OVERFLOWED
jz L_no_overflow
movl (%esi),%eax
addl %eax,ACCUM_MIDDLE
movl 4(%esi),%eax
adcl %eax,ACCUM_MS /* This could overflow too */
L_no_overflow:
/*
* Now put the sum of next term and the accumulator
* into the sum register
*/
movl ACCUM_LS,%eax
addl (%edi),%eax /* term ls long */
movl %eax,SUM_LS
movl ACCUM_MIDDLE,%eax
adcl (%edi),%eax /* term ls long */
movl %eax,SUM_MIDDLE
movl ACCUM_MS,%eax
adcl 4(%edi),%eax /* term ms long */
movl %eax,SUM_MS
sbbb %al,%al
movb %al,OVERFLOWED /* Used in the next iteration */
subl TERM_SIZE,%edi
decl PARAM4
jns L_accum_loop
L_accum_done:
movl PARAM1,%edi /* accum */
movl SUM_LS,%eax
addl %eax,(%edi)
movl SUM_MIDDLE,%eax
adcl %eax,4(%edi)
movl SUM_MS,%eax
adcl %eax,8(%edi)
popl %ebx
popl %edi
popl %esi
leave
ret
ENDPROC(polynomial_Xsig)
|
