diff options
Diffstat (limited to 'sysdeps/i386/fpu/e_pow.S')
| -rw-r--r-- | sysdeps/i386/fpu/e_pow.S | 320 |
1 files changed, 320 insertions, 0 deletions
diff --git a/sysdeps/i386/fpu/e_pow.S b/sysdeps/i386/fpu/e_pow.S new file mode 100644 index 0000000000..75ad211872 --- /dev/null +++ b/sysdeps/i386/fpu/e_pow.S @@ -0,0 +1,320 @@ +/* ix87 specific implementation of pow function. + Copyright (C) 1996, 1997, 1998 Free Software Foundation, Inc. + This file is part of the GNU C Library. + Contributed by Ulrich Drepper <drepper@cygnus.com>, 1996. + + The GNU C 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 C 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 C 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 <machine/asm.h> + +#ifdef __ELF__ + .section .rodata +#else + .text +#endif + + .align ALIGNARG(4) + ASM_TYPE_DIRECTIVE(infinity,@object) +inf_zero: +infinity: + .byte 0, 0, 0, 0, 0, 0, 0xf0, 0x7f + ASM_SIZE_DIRECTIVE(infinity) + ASM_TYPE_DIRECTIVE(zero,@object) +zero: .double 0.0 + ASM_SIZE_DIRECTIVE(zero) + ASM_TYPE_DIRECTIVE(minf_mzero,@object) +minf_mzero: +minfinity: + .byte 0, 0, 0, 0, 0, 0, 0xf0, 0xff +mzero: + .byte 0, 0, 0, 0, 0, 0, 0, 0x80 + ASM_SIZE_DIRECTIVE(minf_mzero) + ASM_TYPE_DIRECTIVE(one,@object) +one: .double 1.0 + ASM_SIZE_DIRECTIVE(one) + ASM_TYPE_DIRECTIVE(limit,@object) +limit: .double 0.29 + ASM_SIZE_DIRECTIVE(limit) + +#ifdef PIC +#define MO(op) op##@GOTOFF(%ecx) +#define MOX(op,x,f) op##@GOTOFF(%ecx,x,f) +#else +#define MO(op) op +#define MOX(op,x,f) op(,x,f) +#endif + + .text +ENTRY(__ieee754_pow) + fldl 12(%esp) // y + fxam + +#ifdef PIC + call 1f +1: popl %ecx + addl $_GLOBAL_OFFSET_TABLE_+[.-1b], %ecx +#endif + + fnstsw + movb %ah, %dl + andb $0x45, %ah + cmpb $0x40, %ah // is y == 0 ? + je 11f + + cmpb $0x05, %ah // is y == ±inf ? + je 12f + + cmpb $0x01, %ah // is y == NaN ? + je 30f + + fldl 4(%esp) // x : y + + subl $8,%esp + + fxam + fnstsw + movb %ah, %dh + andb $0x45, %ah + cmpb $0x40, %ah + je 20f // x is ±0 + + cmpb $0x05, %ah + je 15f // x is ±inf + + fxch // y : x + + /* First see whether `y' is a natural number. In this case we + can use a more precise algorithm. */ + fld %st // y : y : x + fistpll (%esp) // y : x + fildll (%esp) // int(y) : y : x + fucomp %st(1) // y : x + fnstsw + sahf + jne 2f + + /* OK, we have an integer value for y. */ + popl %eax + popl %edx + orl $0, %edx + fstp %st(0) // x + jns 4f // y >= 0, jump + fdivrl MO(one) // 1/x (now referred to as x) + negl %eax + adcl $0, %edx + negl %edx +4: fldl MO(one) // 1 : x + fxch + +6: shrdl $1, %edx, %eax + jnc 5f + fxch + fmul %st(1) // x : ST*x + fxch +5: fmul %st(0), %st // x*x : ST*x + shrl $1, %edx + movl %eax, %ecx + orl %edx, %ecx + jnz 6b + fstp %st(0) // ST*x +30: ret + + .align ALIGNARG(4) +2: /* y is a real number. */ + fxch // x : y + fldl MO(one) // 1.0 : x : y + fld %st(1) // x : 1.0 : x : y + fsub %st(1) // x-1 : 1.0 : x : y + fabs // |x-1| : 1.0 : x : y + fcompl MO(limit) // 1.0 : x : y + fnstsw + fxch // x : 1.0 : y + sahf + ja 7f + fsub %st(1) // x-1 : 1.0 : y + fyl2xp1 // log2(x) : y + jmp 8f + +7: fyl2x // log2(x) : y +8: fmul %st(1) // y*log2(x) : y + fst %st(1) // y*log2(x) : y*log2(x) + frndint // int(y*log2(x)) : y*log2(x) + fsubr %st, %st(1) // int(y*log2(x)) : fract(y*log2(x)) + fxch // fract(y*log2(x)) : int(y*log2(x)) + f2xm1 // 2^fract(y*log2(x))-1 : int(y*log2(x)) + faddl MO(one) // 2^fract(y*log2(x)) : int(y*log2(x)) + fscale // 2^fract(y*log2(x))*2^int(y*log2(x)) : int(y*log2(x)) + addl $8, %esp + fstp %st(1) // 2^fract(y*log2(x))*2^int(y*log2(x)) + ret + + + // pow(x,±0) = 1 + .align ALIGNARG(4) +11: fstp %st(0) // pop y + fldl MO(one) + ret + + // y == ±inf + .align ALIGNARG(4) +12: fstp %st(0) // pop y + fldl 4(%esp) // x + fabs + fcompl MO(one) // < 1, == 1, or > 1 + fnstsw + andb $0x45, %ah + cmpb $0x45, %ah + je 13f // jump if x is NaN + + cmpb $0x40, %ah + je 14f // jump if |x| == 1 + + shlb $1, %ah + xorb %ah, %dl + andl $2, %edx + fldl MOX(inf_zero, %edx, 4) + ret + + .align ALIGNARG(4) +14: fldl MO(infinity) + fmull MO(zero) // raise invalid exception + ret + + .align ALIGNARG(4) +13: fldl 4(%esp) // load x == NaN + ret + + .align ALIGNARG(4) + // x is ±inf +15: fstp %st(0) // y + testb $2, %dh + jz 16f // jump if x == +inf + + // We must find out whether y is an odd integer. + fld %st // y : y + fistpll (%esp) // y + fildll (%esp) // int(y) : y + fucompp // <empty> + fnstsw + sahf + jne 17f + + // OK, the value is an integer, but is the number of bits small + // enough so that all are coming from the mantissa? + popl %eax + popl %edx + andb $1, %al + jz 18f // jump if not odd + movl %edx, %eax + orl %edx, %edx + jns 155f + negl %eax +155: cmpl $0x00200000, %eax + ja 18f // does not fit in mantissa bits + // It's an odd integer. + shrl $31, %edx + fldl MOX(minf_mzero, %edx, 8) + ret + + .align ALIGNARG(4) +16: fcompl MO(zero) + addl $8, %esp + fnstsw + shrl $5, %eax + andl $8, %eax + fldl MOX(inf_zero, %eax, 1) + ret + + .align ALIGNARG(4) +17: shll $30, %edx // sign bit for y in right position + addl $8, %esp +18: shrl $31, %edx + fldl MOX(inf_zero, %edx, 8) + ret + + .align ALIGNARG(4) + // x is ±0 +20: fstp %st(0) // y + testb $2, %dl + jz 21f // y > 0 + + // x is ±0 and y is < 0. We must find out whether y is an odd integer. + testb $2, %dh + jz 25f + + fld %st // y : y + fistpll (%esp) // y + fildll (%esp) // int(y) : y + fucompp // <empty> + fnstsw + sahf + jne 26f + + // OK, the value is an integer, but is the number of bits small + // enough so that all are coming from the mantissa? + popl %eax + popl %edx + andb $1, %al + jz 27f // jump if not odd + cmpl $0xffe00000, %edx + jbe 27f // does not fit in mantissa bits + // It's an odd integer. + // Raise divide-by-zero exception and get minus infinity value. + fldl MO(one) + fdivl MO(zero) + fchs + ret + +25: fstp %st(0) +26: popl %eax + popl %edx +27: // Raise divide-by-zero exception and get infinity value. + fldl MO(one) + fdivl MO(zero) + ret + + .align ALIGNARG(4) + // x is ±0 and y is > 0. We must find out whether y is an odd integer. +21: testb $2, %dh + jz 22f + + fld %st // y : y + fistpll (%esp) // y + fildll (%esp) // int(y) : y + fucompp // <empty> + fnstsw + sahf + jne 23f + + // OK, the value is an integer, but is the number of bits small + // enough so that all are coming from the mantissa? + popl %eax + popl %edx + andb $1, %al + jz 24f // jump if not odd + cmpl $0xffe00000, %edx + jae 24f // does not fit in mantissa bits + // It's an odd integer. + fldl MO(mzero) + ret + +22: fstp %st(0) +23: popl %eax + popl %edx +24: fldl MO(zero) + ret + +END(__ieee754_pow) |