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Diffstat (limited to 'sysdeps/i386/fpu/e_pow.S')
-rw-r--r-- | sysdeps/i386/fpu/e_pow.S | 456 |
1 files changed, 0 insertions, 456 deletions
diff --git a/sysdeps/i386/fpu/e_pow.S b/sysdeps/i386/fpu/e_pow.S deleted file mode 100644 index 2edb9a9fbc..0000000000 --- a/sysdeps/i386/fpu/e_pow.S +++ /dev/null @@ -1,456 +0,0 @@ -/* ix87 specific implementation of pow function. - Copyright (C) 1996-2017 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 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 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 - Lesser General Public License for more details. - - You should have received a copy of the GNU Lesser General Public - License along with the GNU C Library; if not, see - <http://www.gnu.org/licenses/>. */ - -#include <machine/asm.h> -#include <i386-math-asm.h> - - .section .rodata.cst8,"aM",@progbits,8 - - .p2align 3 - .type one,@object -one: .double 1.0 - ASM_SIZE_DIRECTIVE(one) - .type limit,@object -limit: .double 0.29 - ASM_SIZE_DIRECTIVE(limit) - .type p63,@object -p63: .byte 0, 0, 0, 0, 0, 0, 0xe0, 0x43 - ASM_SIZE_DIRECTIVE(p63) - .type p10,@object -p10: .byte 0, 0, 0, 0, 0, 0, 0x90, 0x40 - ASM_SIZE_DIRECTIVE(p10) - - .section .rodata.cst16,"aM",@progbits,16 - - .p2align 3 - .type infinity,@object -inf_zero: -infinity: - .byte 0, 0, 0, 0, 0, 0, 0xf0, 0x7f - ASM_SIZE_DIRECTIVE(infinity) - .type zero,@object -zero: .double 0.0 - ASM_SIZE_DIRECTIVE(zero) - .type 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) -DEFINE_DBL_MIN - -#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 - LOAD_PIC_REG (cx) -#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 - cfi_adjust_cfa_offset (8) - - fxam - fnstsw - movb %ah, %dh - andb $0x45, %ah - cmpb $0x40, %ah - je 20f // x is ±0 - - cmpb $0x05, %ah - je 15f // x is ±inf - - cmpb $0x01, %ah - je 32f // x is NaN - - fxch // y : x - - /* fistpll raises invalid exception for |y| >= 1L<<63. */ - fld %st // y : y : x - fabs // |y| : y : x - fcompl MO(p63) // y : x - fnstsw - sahf - jnc 2f - - /* 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 3f - - /* OK, we have an integer value for y. If large enough that - errors may propagate out of the 11 bits excess precision, use - the algorithm for real exponent instead. */ - fld %st // y : y : x - fabs // |y| : y : x - fcompl MO(p10) // y : x - fnstsw - sahf - jnc 2f - popl %eax - cfi_adjust_cfa_offset (-4) - popl %edx - cfi_adjust_cfa_offset (-4) - 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 - - /* If y is even, take the absolute value of x. Otherwise, - ensure all intermediate values that might overflow have the - sign of x. */ - testb $1, %al - jnz 6f - fabs - -6: shrdl $1, %edx, %eax - jnc 5f - fxch - fabs - fmul %st(1) // x : ST*x - fxch -5: fld %st // x : x : ST*x - fabs // |x| : x : ST*x - fmulp // |x|*x : ST*x - shrl $1, %edx - movl %eax, %ecx - orl %edx, %ecx - jnz 6b - fstp %st(0) // ST*x -#ifdef PIC - LOAD_PIC_REG (cx) -#endif - DBL_NARROW_EVAL_UFLOW_NONNAN - ret - - /* y is ±NAN */ -30: fldl 4(%esp) // x : y - fldl MO(one) // 1.0 : x : y - fucomp %st(1) // x : y - fnstsw - sahf - je 31f - fxch // y : x -31: fstp %st(1) - ret - - cfi_adjust_cfa_offset (8) -32: addl $8, %esp - cfi_adjust_cfa_offset (-8) - fstp %st(1) - ret - - cfi_adjust_cfa_offset (8) - .align ALIGNARG(4) -2: // y is a large integer (absolute value at least 1L<<10), but - // may be odd unless at least 1L<<64. So it may be necessary - // to adjust the sign of a negative result afterwards. - fxch // x : y - fabs // |x| : y - fxch // y : x - .align ALIGNARG(4) -3: /* y is a real number. */ - fxch // x : y - fldl MO(one) // 1.0 : x : y - fldl MO(limit) // 0.29 : 1.0 : x : y - fld %st(2) // x : 0.29 : 1.0 : x : y - fsub %st(2) // x-1 : 0.29 : 1.0 : x : y - fabs // |x-1| : 0.29 : 1.0 : x : y - fucompp // 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)) - - // Before scaling, we must negate if x is negative and y is an - // odd integer. - testb $2, %dh - jz 291f - // x is negative. If y is an odd integer, negate the result. - fldl 20(%esp) // y : 2^fract(y*log2(x)) : int(y*log2(x)) - fld %st // y : y : 2^fract(y*log2(x)) : int(y*log2(x)) - fabs // |y| : y : 2^fract(y*log2(x)) : int(y*log2(x)) - fcompl MO(p63) // y : 2^fract(y*log2(x)) : int(y*log2(x)) - fnstsw - sahf - jnc 290f - - // We must find out whether y is an odd integer. - fld %st // y : y : 2^fract(y*log2(x)) : int(y*log2(x)) - fistpll (%esp) // y : 2^fract(y*log2(x)) : int(y*log2(x)) - fildll (%esp) // int(y) : y : 2^fract(y*log2(x)) : int(y*log2(x)) - fucompp // 2^fract(y*log2(x)) : int(y*log2(x)) - fnstsw - sahf - jne 291f - - // OK, the value is an integer, but is it odd? - popl %eax - cfi_adjust_cfa_offset (-4) - popl %edx - cfi_adjust_cfa_offset (-4) - andb $1, %al - jz 292f // jump if not odd - // It's an odd integer. - fchs - jmp 292f - - cfi_adjust_cfa_offset (8) -290: fstp %st(0) // 2^fract(y*log2(x)) : int(y*log2(x)) -291: addl $8, %esp - cfi_adjust_cfa_offset (-8) -292: fscale // +/- 2^fract(y*log2(x))*2^int(y*log2(x)) : int(y*log2(x)) - fstp %st(1) // +/- 2^fract(y*log2(x))*2^int(y*log2(x)) - DBL_NARROW_EVAL_UFLOW_NONNAN - 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 MO(one) // 1 - fldl 4(%esp) // x : 1 - fabs // abs(x) : 1 - fucompp // < 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(one) - ret - - .align ALIGNARG(4) -13: fldl 4(%esp) // load x == NaN - ret - - cfi_adjust_cfa_offset (8) - .align ALIGNARG(4) - // x is ±inf -15: fstp %st(0) // y - testb $2, %dh - jz 16f // jump if x == +inf - - // fistpll raises invalid exception for |y| >= 1L<<63, so test - // that (in which case y is certainly even) before testing - // whether y is odd. - fld %st // y : y - fabs // |y| : y - fcompl MO(p63) // y - fnstsw - sahf - jnc 16f - - // 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. - popl %eax - cfi_adjust_cfa_offset (-4) - popl %edx - cfi_adjust_cfa_offset (-4) - andb $1, %al - jz 18f // jump if not odd - // It's an odd integer. - shrl $31, %edx - fldl MOX(minf_mzero, %edx, 8) - ret - - cfi_adjust_cfa_offset (8) - .align ALIGNARG(4) -16: fcompl MO(zero) - addl $8, %esp - cfi_adjust_cfa_offset (-8) - fnstsw - shrl $5, %eax - andl $8, %eax - fldl MOX(inf_zero, %eax, 1) - ret - - cfi_adjust_cfa_offset (8) - .align ALIGNARG(4) -17: shll $30, %edx // sign bit for y in right position - addl $8, %esp - cfi_adjust_cfa_offset (-8) -18: shrl $31, %edx - fldl MOX(inf_zero, %edx, 8) - ret - - cfi_adjust_cfa_offset (8) - .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 - - // fistpll raises invalid exception for |y| >= 1L<<63, so test - // that (in which case y is certainly even) before testing - // whether y is odd. - fld %st // y : y - fabs // |y| : y - fcompl MO(p63) // y - fnstsw - sahf - jnc 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. - popl %eax - cfi_adjust_cfa_offset (-4) - popl %edx - cfi_adjust_cfa_offset (-4) - andb $1, %al - jz 27f // jump if not odd - // It's an odd integer. - // Raise divide-by-zero exception and get minus infinity value. - fldl MO(one) - fdivl MO(zero) - fchs - ret - - cfi_adjust_cfa_offset (8) -25: fstp %st(0) -26: addl $8, %esp - cfi_adjust_cfa_offset (-8) -27: // Raise divide-by-zero exception and get infinity value. - fldl MO(one) - fdivl MO(zero) - ret - - cfi_adjust_cfa_offset (8) - .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 - - // fistpll raises invalid exception for |y| >= 1L<<63, so test - // that (in which case y is certainly even) before testing - // whether y is odd. - fcoml MO(p63) // y - fnstsw - sahf - jnc 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. - popl %eax - cfi_adjust_cfa_offset (-4) - popl %edx - cfi_adjust_cfa_offset (-4) - andb $1, %al - jz 24f // jump if not odd - // It's an odd integer. - fldl MO(mzero) - ret - - cfi_adjust_cfa_offset (8) -22: fstp %st(0) -23: addl $8, %esp // Don't use 2 x pop - cfi_adjust_cfa_offset (-8) -24: fldl MO(zero) - ret - -END(__ieee754_pow) -strong_alias (__ieee754_pow, __pow_finite) |