diff options
Diffstat (limited to 'REORG.TODO/sysdeps/i386/i686/fpu/multiarch')
12 files changed, 4369 insertions, 0 deletions
diff --git a/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/Makefile b/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/Makefile new file mode 100644 index 0000000000..7d9089232f --- /dev/null +++ b/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/Makefile @@ -0,0 +1,4 @@ +ifeq ($(subdir),math) +libm-sysdep_routines += e_expf-sse2 e_expf-ia32 s_sinf-sse2 s_cosf-sse2 \ + s_sincosf-sse2 +endif diff --git a/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/e_expf-ia32.S b/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/e_expf-ia32.S new file mode 100644 index 0000000000..b486b4d1ca --- /dev/null +++ b/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/e_expf-ia32.S @@ -0,0 +1,22 @@ +/* + Copyright (C) 2012-2017 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + 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/>. */ + +#define __ieee754_expf __ieee754_expf_ia32 +#define __expf_finite __expf_finite_ia32 + +#include <sysdeps/i386/fpu/e_expf.S> diff --git a/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/e_expf-sse2.S b/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/e_expf-sse2.S new file mode 100644 index 0000000000..e6bb6fa289 --- /dev/null +++ b/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/e_expf-sse2.S @@ -0,0 +1,325 @@ +/* SSE2 version of __ieee754_expf and __expf_finite + Copyright (C) 2012-2017 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + 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 <sysdep.h> + +/* Short algorithm description: + * + * Let K = 64 (table size). + * e^x = 2^(x/log(2)) = 2^n * T[j] * (1 + P(y)) + * where + * x = m*log(2)/K + y, y in [0.0..log(2)/K] + * m = n*K + j, m,n,j - signed integer, j in [0..K-1] + * values of 2^(j/K) are tabulated as T[j]. + * + * P(y) is a minimax polynomial approximation of expf(x)-1 + * on small interval [0.0..log(2)/K]. + * + * P(y) = P3*y*y*y*y + P2*y*y*y + P1*y*y + P0*y, calculated as + * z = y*y; P(y) = (P3*z + P1)*z + (P2*z + P0)*y + * + * Special cases: + * __ieee754_expf_sse2(NaN) = NaN + * __ieee754_expf_sse2(+INF) = +INF + * __ieee754_expf_sse2(-INF) = 0 + * __ieee754_expf_sse2(x) = 1 for subnormals + * for finite argument, only __ieee754_expf_sse2(0)=1 is exact + * __ieee754_expf_sse2(x) overflows if x>700 + * __ieee754_expf_sse2(x) underflows if x<-700 + * + * Note: + * For |x|<700, __ieee754_expf_sse2 computes result in double precision, + * with accuracy a bit more than needed for expf, and does not round it + * to single precision. + */ + + +#ifdef PIC +# define MO1(symbol) L(symbol)##@GOTOFF(%edx) +# define MO2(symbol,reg2,_scale) L(symbol)##@GOTOFF(%edx,reg2,_scale) +#else +# define MO1(symbol) L(symbol) +# define MO2(symbol,reg2,_scale) L(symbol)(,reg2,_scale) +#endif + + .text +ENTRY(__ieee754_expf_sse2) + /* Input: single precision x on stack at address 4(%esp) */ + +#ifdef PIC + LOAD_PIC_REG(dx) +#endif + + cvtss2sd 4(%esp), %xmm1 /* Convert x to double precision */ + mov 4(%esp), %ecx /* Copy x */ + movsd MO1(DP_KLN2), %xmm2 /* DP K/log(2) */ + movsd MO1(DP_P2), %xmm3 /* DP P2 */ + movl %ecx, %eax /* x */ + mulsd %xmm1, %xmm2 /* DP x*K/log(2) */ + andl $0x7fffffff, %ecx /* |x| */ + cmpl $0x442f0000, %ecx /* |x|<700 ? */ + movsd MO1(DP_P3), %xmm4 /* DP P3 */ + addsd MO1(DP_RS), %xmm2 /* DP x*K/log(2)+RS */ + jae L(special_paths) + + /* Here if |x|<700 */ + cmpl $0x31800000, %ecx /* |x|<2^(-28) ? */ + jb L(small_arg) + + /* Main path: here if 2^(-28)<=|x|<700 */ + cvtsd2ss %xmm2, %xmm2 /* SP x*K/log(2)+RS */ + movd %xmm2, %eax /* bits of n*K+j with trash */ + subss MO1(SP_RS), %xmm2 /* SP t=round(x*K/log(2)) */ + movl %eax, %ecx /* n*K+j with trash */ + cvtss2sd %xmm2, %xmm2 /* DP t */ + andl $0x3f, %eax /* bits of j */ + mulsd MO1(DP_NLN2K), %xmm2 /* DP -t*log(2)/K */ + andl $0xffffffc0, %ecx /* bits of n */ +#ifdef __AVX__ + vaddsd %xmm1, %xmm2, %xmm0 /* DP y=x-t*log(2)/K */ + vmulsd %xmm0, %xmm0, %xmm2 /* DP z=y*y */ +#else + addsd %xmm1, %xmm2 /* DP y=x-t*log(2)/K */ + movaps %xmm2, %xmm0 /* DP y */ + mulsd %xmm2, %xmm2 /* DP z=y*y */ +#endif + mulsd %xmm2, %xmm4 /* DP P3*z */ + addl $0xffc0, %ecx /* bits of n + DP exponent bias */ + mulsd %xmm2, %xmm3 /* DP P2*z */ + shrl $2, %ecx /* High 2 bytes of DP 2^n */ + pxor %xmm1, %xmm1 /* clear %xmm1 */ + addsd MO1(DP_P1), %xmm4 /* DP P3*z+P1 */ + addsd MO1(DP_P0), %xmm3 /* DP P2*z+P0 */ + pinsrw $3, %ecx, %xmm1 /* DP 2^n */ + mulsd %xmm2, %xmm4 /* DP (P3*z+P1)*z */ + mulsd %xmm3, %xmm0 /* DP (P2*z+P0)*y */ + addsd %xmm4, %xmm0 /* DP P(y) */ + mulsd MO2(DP_T,%eax,8), %xmm0 /* DP P(y)*T[j] */ + addsd MO2(DP_T,%eax,8), %xmm0 /* DP T[j]*(P(y)+1) */ + mulsd %xmm1, %xmm0 /* DP result=2^n*(T[j]*(P(y)+1)) */ + cvtsd2ss %xmm0, %xmm1 + + lea -4(%esp), %esp /* Borrow 4 bytes of stack frame */ + movss %xmm1, 0(%esp) /* Move result from sse... */ + flds 0(%esp) /* ...to FPU. */ + lea 4(%esp), %esp /* Return back 4 bytes of stack frame */ + ret + + .p2align 4 +L(small_arg): + /* Here if 0<=|x|<2^(-28) */ + movss 4(%esp), %xmm0 /* load x */ + addss MO1(SP_ONE), %xmm0 /* 1.0 + x */ + /* Return 1.0 with inexact raised, except for x==0 */ + jmp L(epilogue) + + .p2align 4 +L(special_paths): + /* Here if x is NaN, or Inf, or finite |x|>=700 */ + movss 4(%esp), %xmm0 /* load x */ + + cmpl $0x7f800000, %ecx /* |x| is finite ? */ + jae L(arg_inf_or_nan) + + /* Here if finite |x|>=700 */ + testl $0x80000000, %eax /* sign of x nonzero ? */ + je L(res_overflow) + + /* Here if finite x<=-700 */ + movss MO1(SP_SMALL), %xmm0 /* load small value 2^(-100) */ + mulss %xmm0, %xmm0 /* Return underflowed result (zero or subnormal) */ + jmp L(epilogue) + + .p2align 4 +L(res_overflow): + /* Here if finite x>=700 */ + movss MO1(SP_LARGE), %xmm0 /* load large value 2^100 */ + mulss %xmm0, %xmm0 /* Return overflowed result (Inf or max normal) */ + jmp L(epilogue) + + .p2align 4 +L(arg_inf_or_nan): + /* Here if |x| is Inf or NAN */ + jne L(arg_nan) /* |x| is Inf ? */ + + /* Here if |x| is Inf */ + shrl $31, %eax /* Get sign bit of x */ + movss MO2(SP_INF_0,%eax,4), %xmm0/* return zero or Inf, depending on sign of x */ + jmp L(epilogue) + + .p2align 4 +L(arg_nan): + /* Here if |x| is NaN */ + addss %xmm0, %xmm0 /* Return x+x (raise invalid) */ + + .p2align 4 +L(epilogue): + lea -4(%esp), %esp /* Borrow 4 bytes of stack frame */ + movss %xmm0, 0(%esp) /* Move result from sse... */ + flds 0(%esp) /* ...to FPU. */ + lea 4(%esp), %esp /* Return back 4 bytes of stack frame */ + ret +END(__ieee754_expf_sse2) + + .section .rodata, "a" + .p2align 3 +L(DP_T): /* table of double precision values 2^(j/K) for j=[0..K-1] */ + .long 0x00000000, 0x3ff00000 + .long 0x3e778061, 0x3ff02c9a + .long 0xd3158574, 0x3ff059b0 + .long 0x18759bc8, 0x3ff08745 + .long 0x6cf9890f, 0x3ff0b558 + .long 0x32d3d1a2, 0x3ff0e3ec + .long 0xd0125b51, 0x3ff11301 + .long 0xaea92de0, 0x3ff1429a + .long 0x3c7d517b, 0x3ff172b8 + .long 0xeb6fcb75, 0x3ff1a35b + .long 0x3168b9aa, 0x3ff1d487 + .long 0x88628cd6, 0x3ff2063b + .long 0x6e756238, 0x3ff2387a + .long 0x65e27cdd, 0x3ff26b45 + .long 0xf51fdee1, 0x3ff29e9d + .long 0xa6e4030b, 0x3ff2d285 + .long 0x0a31b715, 0x3ff306fe + .long 0xb26416ff, 0x3ff33c08 + .long 0x373aa9cb, 0x3ff371a7 + .long 0x34e59ff7, 0x3ff3a7db + .long 0x4c123422, 0x3ff3dea6 + .long 0x21f72e2a, 0x3ff4160a + .long 0x6061892d, 0x3ff44e08 + .long 0xb5c13cd0, 0x3ff486a2 + .long 0xd5362a27, 0x3ff4bfda + .long 0x769d2ca7, 0x3ff4f9b2 + .long 0x569d4f82, 0x3ff5342b + .long 0x36b527da, 0x3ff56f47 + .long 0xdd485429, 0x3ff5ab07 + .long 0x15ad2148, 0x3ff5e76f + .long 0xb03a5585, 0x3ff6247e + .long 0x82552225, 0x3ff66238 + .long 0x667f3bcd, 0x3ff6a09e + .long 0x3c651a2f, 0x3ff6dfb2 + .long 0xe8ec5f74, 0x3ff71f75 + .long 0x564267c9, 0x3ff75feb + .long 0x73eb0187, 0x3ff7a114 + .long 0x36cf4e62, 0x3ff7e2f3 + .long 0x994cce13, 0x3ff82589 + .long 0x9b4492ed, 0x3ff868d9 + .long 0x422aa0db, 0x3ff8ace5 + .long 0x99157736, 0x3ff8f1ae + .long 0xb0cdc5e5, 0x3ff93737 + .long 0x9fde4e50, 0x3ff97d82 + .long 0x82a3f090, 0x3ff9c491 + .long 0x7b5de565, 0x3ffa0c66 + .long 0xb23e255d, 0x3ffa5503 + .long 0x5579fdbf, 0x3ffa9e6b + .long 0x995ad3ad, 0x3ffae89f + .long 0xb84f15fb, 0x3ffb33a2 + .long 0xf2fb5e47, 0x3ffb7f76 + .long 0x904bc1d2, 0x3ffbcc1e + .long 0xdd85529c, 0x3ffc199b + .long 0x2e57d14b, 0x3ffc67f1 + .long 0xdcef9069, 0x3ffcb720 + .long 0x4a07897c, 0x3ffd072d + .long 0xdcfba487, 0x3ffd5818 + .long 0x03db3285, 0x3ffda9e6 + .long 0x337b9b5f, 0x3ffdfc97 + .long 0xe78b3ff6, 0x3ffe502e + .long 0xa2a490da, 0x3ffea4af + .long 0xee615a27, 0x3ffefa1b + .long 0x5b6e4540, 0x3fff5076 + .long 0x819e90d8, 0x3fffa7c1 + .type L(DP_T), @object + ASM_SIZE_DIRECTIVE(L(DP_T)) + + .section .rodata.cst8,"aM",@progbits,8 + .p2align 3 +L(DP_KLN2): /* double precision K/log(2) */ + .long 0x652b82fe, 0x40571547 + .type L(DP_KLN2), @object + ASM_SIZE_DIRECTIVE(L(DP_KLN2)) + + .p2align 3 +L(DP_NLN2K): /* double precision -log(2)/K */ + .long 0xfefa39ef, 0xbf862e42 + .type L(DP_NLN2K), @object + ASM_SIZE_DIRECTIVE(L(DP_NLN2K)) + + .p2align 3 +L(DP_RS): /* double precision 2^23+2^22 */ + .long 0x00000000, 0x41680000 + .type L(DP_RS), @object + ASM_SIZE_DIRECTIVE(L(DP_RS)) + + .p2align 3 +L(DP_P3): /* double precision polynomial coefficient P3 */ + .long 0xeb78fa85, 0x3fa56420 + .type L(DP_P3), @object + ASM_SIZE_DIRECTIVE(L(DP_P3)) + + .p2align 3 +L(DP_P1): /* double precision polynomial coefficient P1 */ + .long 0x008d6118, 0x3fe00000 + .type L(DP_P1), @object + ASM_SIZE_DIRECTIVE(L(DP_P1)) + + .p2align 3 +L(DP_P2): /* double precision polynomial coefficient P2 */ + .long 0xda752d4f, 0x3fc55550 + .type L(DP_P2), @object + ASM_SIZE_DIRECTIVE(L(DP_P2)) + + .p2align 3 +L(DP_P0): /* double precision polynomial coefficient P0 */ + .long 0xffffe7c6, 0x3fefffff + .type L(DP_P0), @object + ASM_SIZE_DIRECTIVE(L(DP_P0)) + + .p2align 2 +L(SP_INF_0): + .long 0x7f800000 /* single precision Inf */ + .long 0 /* single precision zero */ + .type L(SP_INF_0), @object + ASM_SIZE_DIRECTIVE(L(SP_INF_0)) + + .section .rodata.cst4,"aM",@progbits,4 + .p2align 2 +L(SP_RS): /* single precision 2^23+2^22 */ + .long 0x4b400000 + .type L(SP_RS), @object + ASM_SIZE_DIRECTIVE(L(SP_RS)) + + .p2align 2 +L(SP_SMALL): /* single precision small value 2^(-100) */ + .long 0x0d800000 + .type L(SP_SMALL), @object + ASM_SIZE_DIRECTIVE(L(SP_SMALL)) + + .p2align 2 +L(SP_LARGE): /* single precision large value 2^100 */ + .long 0x71800000 + .type L(SP_LARGE), @object + ASM_SIZE_DIRECTIVE(L(SP_LARGE)) + + .p2align 2 +L(SP_ONE): /* single precision 1.0 */ + .long 0x3f800000 + .type L(SP_ONE), @object + ASM_SIZE_DIRECTIVE(L(SP_ONE)) + +strong_alias (__ieee754_expf_sse2, __expf_finite_sse2) diff --git a/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/e_expf.c b/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/e_expf.c new file mode 100644 index 0000000000..388cf98a39 --- /dev/null +++ b/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/e_expf.c @@ -0,0 +1,37 @@ +/* Multiple versions of expf + Copyright (C) 2012-2017 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + 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 <init-arch.h> + +extern double __ieee754_expf_sse2 (double); +extern double __ieee754_expf_ia32 (double); + +double __ieee754_expf (double); +libm_ifunc (__ieee754_expf, + HAS_CPU_FEATURE (SSE2) + ? __ieee754_expf_sse2 + : __ieee754_expf_ia32); + +extern double __expf_finite_sse2 (double); +extern double __expf_finite_ia32 (double); + +double __expf_finite (double); +libm_ifunc (__expf_finite, + HAS_CPU_FEATURE (SSE2) + ? __expf_finite_sse2 + : __expf_finite_ia32); diff --git a/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/libm-test-ulps b/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/libm-test-ulps new file mode 100644 index 0000000000..04bc23b37b --- /dev/null +++ b/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/libm-test-ulps @@ -0,0 +1,2188 @@ +# Begin of automatic generation + +# Maximal error of functions: +Function: "acos": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: "acos_downward": +ildouble: 2 +ldouble: 2 + +Function: "acos_towardzero": +ildouble: 2 +ldouble: 2 + +Function: "acos_upward": +double: 1 +idouble: 1 +ildouble: 2 +ldouble: 2 + +Function: "acosh": +double: 1 +idouble: 1 +ildouble: 4 +ldouble: 2 + +Function: "acosh_downward": +double: 1 +idouble: 1 +ildouble: 6 +ldouble: 4 + +Function: "acosh_towardzero": +double: 1 +idouble: 1 +ildouble: 6 +ldouble: 4 + +Function: "acosh_upward": +double: 1 +idouble: 1 +ildouble: 4 +ldouble: 3 + +Function: "asin": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: "asin_downward": +double: 1 +idouble: 1 +ildouble: 2 +ldouble: 2 + +Function: "asin_towardzero": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: "asin_upward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "asinh": +double: 1 +idouble: 1 +ildouble: 3 +ldouble: 3 + +Function: "asinh_downward": +double: 1 +float: 1 +idouble: 1 +ildouble: 5 +ldouble: 5 + +Function: "asinh_towardzero": +double: 1 +float: 1 +idouble: 1 +ildouble: 4 +ldouble: 4 + +Function: "asinh_upward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 5 +ldouble: 5 + +Function: "atan": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: "atan2": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: "atan2_downward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "atan2_towardzero": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "atan2_upward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "atan_downward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "atan_towardzero": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "atan_upward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "atanh": +double: 1 +idouble: 1 +ildouble: 3 +ldouble: 3 + +Function: "atanh_downward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 3 +ldouble: 4 + +Function: "atanh_towardzero": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 5 +ldouble: 3 + +Function: "atanh_upward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 5 +ldouble: 5 + +Function: "cabs": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: "cabs_downward": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: "cabs_towardzero": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: "cabs_upward": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: Real part of "cacos": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: Imaginary part of "cacos": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +Function: Real part of "cacos_downward": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +Function: Imaginary part of "cacos_downward": +double: 5 +float: 3 +idouble: 5 +ifloat: 3 +ildouble: 6 +ldouble: 6 + +Function: Real part of "cacos_towardzero": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +Function: Imaginary part of "cacos_towardzero": +double: 4 +float: 3 +idouble: 4 +ifloat: 3 +ildouble: 5 +ldouble: 5 + +Function: Real part of "cacos_upward": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 2 +ldouble: 2 + +Function: Imaginary part of "cacos_upward": +double: 7 +float: 7 +idouble: 7 +ifloat: 7 +ildouble: 7 +ldouble: 7 + +Function: Real part of "cacosh": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +Function: Imaginary part of "cacosh": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: Real part of "cacosh_downward": +double: 4 +float: 3 +idouble: 4 +ifloat: 3 +ildouble: 5 +ldouble: 5 + +Function: Imaginary part of "cacosh_downward": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 3 +ldouble: 3 + +Function: Real part of "cacosh_towardzero": +double: 4 +float: 3 +idouble: 4 +ifloat: 3 +ildouble: 5 +ldouble: 5 + +Function: Imaginary part of "cacosh_towardzero": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +Function: Real part of "cacosh_upward": +double: 4 +float: 4 +idouble: 4 +ifloat: 4 +ildouble: 5 +ldouble: 5 + +Function: Imaginary part of "cacosh_upward": +double: 3 +float: 2 +idouble: 3 +ifloat: 2 +ildouble: 3 +ldouble: 3 + +Function: "carg": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: "carg_downward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "carg_towardzero": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "carg_upward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: Real part of "casin": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: Imaginary part of "casin": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +Function: Real part of "casin_downward": +double: 3 +float: 2 +idouble: 3 +ifloat: 2 +ildouble: 3 +ldouble: 3 + +Function: Imaginary part of "casin_downward": +double: 5 +float: 3 +idouble: 5 +ifloat: 3 +ildouble: 6 +ldouble: 6 + +Function: Real part of "casin_towardzero": +double: 3 +float: 1 +idouble: 3 +ifloat: 1 +ildouble: 3 +ldouble: 3 + +Function: Imaginary part of "casin_towardzero": +double: 4 +float: 3 +idouble: 4 +ifloat: 3 +ildouble: 5 +ldouble: 5 + +Function: Real part of "casin_upward": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 2 +ldouble: 2 + +Function: Imaginary part of "casin_upward": +double: 7 +float: 7 +idouble: 7 +ifloat: 7 +ildouble: 7 +ldouble: 7 + +Function: Real part of "casinh": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +Function: Imaginary part of "casinh": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: Real part of "casinh_downward": +double: 5 +float: 3 +idouble: 5 +ifloat: 3 +ildouble: 6 +ldouble: 6 + +Function: Imaginary part of "casinh_downward": +double: 3 +float: 2 +idouble: 3 +ifloat: 2 +ildouble: 3 +ldouble: 3 + +Function: Real part of "casinh_towardzero": +double: 4 +float: 3 +idouble: 4 +ifloat: 3 +ildouble: 5 +ldouble: 5 + +Function: Imaginary part of "casinh_towardzero": +double: 3 +float: 1 +idouble: 3 +ifloat: 1 +ildouble: 3 +ldouble: 3 + +Function: Real part of "casinh_upward": +double: 7 +float: 7 +idouble: 7 +ifloat: 7 +ildouble: 7 +ldouble: 7 + +Function: Imaginary part of "casinh_upward": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 2 +ldouble: 2 + +Function: Real part of "catan": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: Imaginary part of "catan": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: Real part of "catan_downward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: Imaginary part of "catan_downward": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 4 +ldouble: 4 + +Function: Real part of "catan_towardzero": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: Imaginary part of "catan_towardzero": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 4 +ldouble: 4 + +Function: Real part of "catan_upward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: Imaginary part of "catan_upward": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 3 +ldouble: 3 + +Function: Real part of "catanh": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: Imaginary part of "catanh": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: Real part of "catanh_downward": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 4 +ldouble: 4 + +Function: Imaginary part of "catanh_downward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: Real part of "catanh_towardzero": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 4 +ldouble: 4 + +Function: Imaginary part of "catanh_towardzero": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: Real part of "catanh_upward": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 4 +ldouble: 4 + +Function: Imaginary part of "catanh_upward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "cbrt": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 3 +ldouble: 3 + +Function: "cbrt_downward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 4 +ldouble: 4 + +Function: "cbrt_towardzero": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 3 +ldouble: 3 + +Function: "cbrt_upward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 4 +ldouble: 4 + +Function: Real part of "ccos": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: Imaginary part of "ccos": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: Real part of "ccos_downward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 3 +ldouble: 3 + +Function: Imaginary part of "ccos_downward": +double: 3 +float: 3 +idouble: 3 +ifloat: 3 +ildouble: 3 +ldouble: 3 + +Function: Real part of "ccos_towardzero": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 3 +ldouble: 3 + +Function: Imaginary part of "ccos_towardzero": +double: 3 +float: 3 +idouble: 3 +ifloat: 3 +ildouble: 3 +ldouble: 3 + +Function: Real part of "ccos_upward": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 2 +ldouble: 2 + +Function: Imaginary part of "ccos_upward": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 2 +ldouble: 2 + +Function: Real part of "ccosh": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: Imaginary part of "ccosh": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: Real part of "ccosh_downward": +double: 1 +float: 2 +idouble: 1 +ifloat: 2 +ildouble: 3 +ldouble: 3 + +Function: Imaginary part of "ccosh_downward": +double: 3 +float: 3 +idouble: 3 +ifloat: 3 +ildouble: 3 +ldouble: 3 + +Function: Real part of "ccosh_towardzero": +double: 1 +float: 2 +idouble: 1 +ifloat: 2 +ildouble: 3 +ldouble: 3 + +Function: Imaginary part of "ccosh_towardzero": +double: 3 +float: 3 +idouble: 3 +ifloat: 3 +ildouble: 3 +ldouble: 3 + +Function: Real part of "ccosh_upward": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 2 +ldouble: 2 + +Function: Imaginary part of "ccosh_upward": +double: 3 +float: 2 +idouble: 3 +ifloat: 2 +ildouble: 2 +ldouble: 2 + +Function: Real part of "cexp": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: Imaginary part of "cexp": +double: 1 +float: 2 +idouble: 1 +ifloat: 2 +ildouble: 1 +ldouble: 1 + +Function: Real part of "cexp_downward": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 3 +ldouble: 3 + +Function: Imaginary part of "cexp_downward": +double: 3 +float: 3 +idouble: 3 +ifloat: 3 +ildouble: 3 +ldouble: 3 + +Function: Real part of "cexp_towardzero": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 3 +ldouble: 3 + +Function: Imaginary part of "cexp_towardzero": +double: 3 +float: 3 +idouble: 3 +ifloat: 3 +ildouble: 3 +ldouble: 3 + +Function: Real part of "cexp_upward": +double: 1 +float: 2 +idouble: 1 +ifloat: 2 +ildouble: 2 +ldouble: 2 + +Function: Imaginary part of "cexp_upward": +double: 3 +float: 2 +idouble: 3 +ifloat: 2 +ildouble: 3 +ldouble: 3 + +Function: Real part of "clog": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 3 +ldouble: 3 + +Function: Imaginary part of "clog": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: Real part of "clog10": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 4 +ldouble: 4 + +Function: Imaginary part of "clog10": +double: 1 +idouble: 1 +ildouble: 2 +ldouble: 2 + +Function: Real part of "clog10_downward": +double: 3 +float: 3 +idouble: 3 +ifloat: 3 +ildouble: 8 +ldouble: 8 + +Function: Imaginary part of "clog10_downward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 3 +ldouble: 3 + +Function: Real part of "clog10_towardzero": +double: 3 +float: 3 +idouble: 3 +ifloat: 3 +ildouble: 8 +ldouble: 8 + +Function: Imaginary part of "clog10_towardzero": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 3 +ldouble: 3 + +Function: Real part of "clog10_upward": +double: 3 +float: 3 +idouble: 3 +ifloat: 3 +ildouble: 7 +ldouble: 7 + +Function: Imaginary part of "clog10_upward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 3 +ldouble: 3 + +Function: Real part of "clog_downward": +double: 3 +float: 3 +idouble: 3 +ifloat: 3 +ildouble: 5 +ldouble: 5 + +Function: Imaginary part of "clog_downward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: Real part of "clog_towardzero": +double: 3 +float: 3 +idouble: 3 +ifloat: 3 +ildouble: 5 +ldouble: 5 + +Function: Imaginary part of "clog_towardzero": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: Real part of "clog_upward": +double: 2 +float: 3 +idouble: 2 +ifloat: 3 +ildouble: 4 +ldouble: 4 + +Function: Imaginary part of "clog_upward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "cos": +ildouble: 1 +ldouble: 1 + +Function: "cos_downward": +double: 1 +idouble: 1 +ildouble: 3 +ldouble: 3 + +Function: "cos_towardzero": +double: 1 +idouble: 1 +ildouble: 2 +ldouble: 2 + +Function: "cos_upward": +double: 1 +idouble: 1 +ildouble: 2 +ldouble: 2 + +Function: "cosh": +double: 1 +float: 1 +idouble: 1 +ildouble: 2 +ldouble: 2 + +Function: "cosh_downward": +double: 2 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 2 +ldouble: 3 + +Function: "cosh_towardzero": +double: 2 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +Function: "cosh_upward": +double: 4 +float: 2 +idouble: 1 +ifloat: 1 +ildouble: 2 +ldouble: 3 + +Function: Real part of "cpow": +double: 2 +float: 5 +idouble: 2 +ifloat: 5 +ildouble: 3 +ldouble: 3 + +Function: Imaginary part of "cpow": +double: 1 +float: 2 +idouble: 1 +ifloat: 2 +ildouble: 4 +ldouble: 4 + +Function: Real part of "cpow_downward": +double: 5 +float: 8 +idouble: 5 +ifloat: 8 +ildouble: 7 +ldouble: 7 + +Function: Imaginary part of "cpow_downward": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 2 +ldouble: 2 + +Function: Real part of "cpow_towardzero": +double: 5 +float: 8 +idouble: 5 +ifloat: 8 +ildouble: 7 +ldouble: 7 + +Function: Imaginary part of "cpow_towardzero": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 1 +ldouble: 1 + +Function: Real part of "cpow_upward": +double: 4 +float: 1 +idouble: 4 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +Function: Imaginary part of "cpow_upward": +double: 1 +float: 2 +idouble: 1 +ifloat: 2 +ildouble: 2 +ldouble: 2 + +Function: Real part of "csin": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: Imaginary part of "csin": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 + +Function: Real part of "csin_downward": +double: 3 +float: 3 +idouble: 3 +ifloat: 3 +ildouble: 3 +ldouble: 3 + +Function: Imaginary part of "csin_downward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 3 +ldouble: 3 + +Function: Real part of "csin_towardzero": +double: 3 +float: 3 +idouble: 3 +ifloat: 3 +ildouble: 3 +ldouble: 3 + +Function: Imaginary part of "csin_towardzero": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 3 +ldouble: 3 + +Function: Real part of "csin_upward": +double: 3 +float: 2 +idouble: 3 +ifloat: 2 +ildouble: 3 +ldouble: 3 + +Function: Imaginary part of "csin_upward": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 3 +ldouble: 3 + +Function: Real part of "csinh": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: Imaginary part of "csinh": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: Real part of "csinh_downward": +double: 1 +float: 2 +idouble: 1 +ifloat: 2 +ildouble: 3 +ldouble: 3 + +Function: Imaginary part of "csinh_downward": +double: 3 +float: 3 +idouble: 3 +ifloat: 3 +ildouble: 3 +ldouble: 3 + +Function: Real part of "csinh_towardzero": +double: 1 +float: 2 +idouble: 1 +ifloat: 2 +ildouble: 3 +ldouble: 3 + +Function: Imaginary part of "csinh_towardzero": +double: 3 +float: 3 +idouble: 3 +ifloat: 3 +ildouble: 3 +ldouble: 3 + +Function: Real part of "csinh_upward": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 3 +ldouble: 3 + +Function: Imaginary part of "csinh_upward": +double: 3 +float: 2 +idouble: 3 +ifloat: 2 +ildouble: 3 +ldouble: 3 + +Function: Real part of "csqrt": +double: 1 +idouble: 1 +ildouble: 2 +ldouble: 2 + +Function: Imaginary part of "csqrt": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +Function: Real part of "csqrt_downward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 5 +ldouble: 5 + +Function: Imaginary part of "csqrt_downward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 4 +ldouble: 4 + +Function: Real part of "csqrt_towardzero": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 4 +ldouble: 4 + +Function: Imaginary part of "csqrt_towardzero": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 4 +ldouble: 4 + +Function: Real part of "csqrt_upward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 5 +ldouble: 5 + +Function: Imaginary part of "csqrt_upward": +double: 1 +float: 2 +idouble: 1 +ifloat: 2 +ildouble: 4 +ldouble: 4 + +Function: Real part of "ctan": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +Function: Imaginary part of "ctan": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: Real part of "ctan_downward": +double: 1 +float: 2 +idouble: 1 +ifloat: 2 +ildouble: 5 +ldouble: 5 + +Function: Imaginary part of "ctan_downward": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 4 +ldouble: 4 + +Function: Real part of "ctan_towardzero": +double: 3 +float: 1 +idouble: 3 +ifloat: 1 +ildouble: 5 +ldouble: 5 + +Function: Imaginary part of "ctan_towardzero": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 4 +ldouble: 4 + +Function: Real part of "ctan_upward": +double: 3 +float: 2 +idouble: 3 +ifloat: 2 +ildouble: 3 +ldouble: 3 + +Function: Imaginary part of "ctan_upward": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 3 +ldouble: 3 + +Function: Real part of "ctanh": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: Imaginary part of "ctanh": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +Function: Real part of "ctanh_downward": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 4 +ldouble: 4 + +Function: Imaginary part of "ctanh_downward": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 4 +ldouble: 4 + +Function: Real part of "ctanh_towardzero": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 4 +ldouble: 4 + +Function: Imaginary part of "ctanh_towardzero": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 3 +ldouble: 3 + +Function: Real part of "ctanh_upward": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 3 +ldouble: 3 + +Function: Imaginary part of "ctanh_upward": +double: 3 +float: 2 +idouble: 3 +ifloat: 2 +ildouble: 3 +ldouble: 3 + +Function: "erf": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "erf_downward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "erf_towardzero": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "erf_upward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "erfc": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 3 +ldouble: 3 + +Function: "erfc_downward": +double: 2 +float: 3 +idouble: 2 +ifloat: 3 +ildouble: 4 +ldouble: 4 + +Function: "erfc_towardzero": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 4 +ldouble: 4 + +Function: "erfc_upward": +double: 2 +float: 3 +idouble: 2 +ifloat: 3 +ildouble: 5 +ldouble: 5 + +Function: "exp": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: "exp10": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: "exp10_downward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +Function: "exp10_towardzero": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +Function: "exp10_upward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +Function: "exp2": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: "exp2_downward": +ildouble: 1 +ldouble: 1 + +Function: "exp2_towardzero": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: "exp2_upward": +ildouble: 1 +ldouble: 1 + +Function: "exp_downward": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: "exp_towardzero": +double: 1 +idouble: 1 +ildouble: 2 +ldouble: 2 + +Function: "exp_upward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "expm1": +double: 1 +idouble: 1 +ildouble: 2 +ldouble: 2 + +Function: "expm1_downward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 4 +ldouble: 4 + +Function: "expm1_towardzero": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 4 +ldouble: 4 + +Function: "expm1_upward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 4 +ldouble: 4 + +Function: "gamma": +double: 3 +float: 3 +idouble: 3 +ifloat: 3 +ildouble: 4 +ldouble: 4 + +Function: "gamma_downward": +double: 4 +float: 4 +idouble: 4 +ifloat: 4 +ildouble: 7 +ldouble: 7 + +Function: "gamma_towardzero": +double: 4 +float: 4 +idouble: 4 +ifloat: 4 +ildouble: 7 +ldouble: 7 + +Function: "gamma_upward": +double: 3 +float: 4 +idouble: 3 +ifloat: 4 +ildouble: 5 +ldouble: 5 + +Function: "hypot": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: "hypot_downward": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: "hypot_towardzero": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: "hypot_upward": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: "j0": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +Function: "j0_downward": +double: 1 +float: 3 +idouble: 1 +ifloat: 3 +ildouble: 4 +ldouble: 4 + +Function: "j0_towardzero": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 5 +ldouble: 5 + +Function: "j0_upward": +double: 1 +float: 3 +idouble: 1 +ifloat: 3 +ildouble: 4 +ldouble: 4 + +Function: "j1": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "j1_downward": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 4 +ldouble: 4 + +Function: "j1_towardzero": +double: 2 +float: 1 +idouble: 2 +ifloat: 1 +ildouble: 4 +ldouble: 4 + +Function: "j1_upward": +double: 2 +float: 3 +idouble: 2 +ifloat: 3 +ildouble: 3 +ldouble: 3 + +Function: "jn": +double: 2 +float: 3 +idouble: 2 +ifloat: 3 +ildouble: 4 +ldouble: 4 + +Function: "jn_downward": +double: 2 +float: 3 +idouble: 2 +ifloat: 3 +ildouble: 4 +ldouble: 4 + +Function: "jn_towardzero": +double: 2 +float: 3 +idouble: 2 +ifloat: 3 +ildouble: 5 +ldouble: 5 + +Function: "jn_upward": +double: 2 +float: 3 +idouble: 2 +ifloat: 3 +ildouble: 5 +ldouble: 5 + +Function: "lgamma": +double: 3 +float: 3 +idouble: 3 +ifloat: 3 +ildouble: 4 +ldouble: 4 + +Function: "lgamma_downward": +double: 4 +float: 4 +idouble: 4 +ifloat: 4 +ildouble: 7 +ldouble: 7 + +Function: "lgamma_towardzero": +double: 4 +float: 4 +idouble: 4 +ifloat: 4 +ildouble: 7 +ldouble: 7 + +Function: "lgamma_upward": +double: 3 +float: 4 +idouble: 3 +ifloat: 4 +ildouble: 5 +ldouble: 5 + +Function: "log": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: "log10": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: "log10_downward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +Function: "log10_towardzero": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +Function: "log10_upward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "log1p": +double: 1 +idouble: 1 +ildouble: 2 +ldouble: 2 + +Function: "log1p_downward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 4 +ldouble: 4 + +Function: "log1p_towardzero": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 4 +ldouble: 4 + +Function: "log1p_upward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 3 +ldouble: 3 + +Function: "log2": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: "log2_downward": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: "log2_towardzero": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "log2_upward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "log_downward": +double: 1 +idouble: 1 +ildouble: 2 +ldouble: 2 + +Function: "log_towardzero": +double: 1 +idouble: 1 +ildouble: 2 +ldouble: 2 + +Function: "log_upward": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: "pow": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: "pow10": +double: 1 +idouble: 1 +ildouble: 1 +ldouble: 1 + +Function: "pow10_downward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +Function: "pow10_towardzero": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +Function: "pow10_upward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +Function: "pow_downward": +double: 1 +idouble: 1 +ildouble: 4 +ldouble: 4 + +Function: "pow_towardzero": +double: 1 +idouble: 1 +ildouble: 4 +ldouble: 4 + +Function: "pow_upward": +double: 1 +idouble: 1 +ildouble: 4 +ldouble: 4 + +Function: "sin": +ildouble: 1 +ldouble: 1 + +Function: "sin_downward": +double: 1 +idouble: 1 +ildouble: 3 +ldouble: 3 + +Function: "sin_towardzero": +double: 1 +idouble: 1 +ildouble: 2 +ldouble: 2 + +Function: "sin_upward": +double: 1 +idouble: 1 +ildouble: 3 +ldouble: 3 + +Function: "sincos": +ildouble: 1 +ldouble: 1 + +Function: "sincos_downward": +double: 1 +idouble: 1 +ildouble: 3 +ldouble: 3 + +Function: "sincos_towardzero": +double: 1 +idouble: 1 +ildouble: 2 +ldouble: 2 + +Function: "sincos_upward": +double: 1 +idouble: 1 +ildouble: 3 +ldouble: 3 + +Function: "sinh": +double: 1 +ildouble: 2 +ldouble: 2 + +Function: "sinh_downward": +double: 2 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 4 +ldouble: 5 + +Function: "sinh_towardzero": +double: 2 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 3 +ldouble: 4 + +Function: "sinh_upward": +double: 4 +float: 2 +idouble: 1 +ifloat: 1 +ildouble: 4 +ldouble: 5 + +Function: "tan": +float: 1 +ifloat: 1 +ildouble: 2 +ldouble: 2 + +Function: "tan_downward": +double: 1 +float: 2 +idouble: 1 +ifloat: 2 +ildouble: 3 +ldouble: 3 + +Function: "tan_towardzero": +double: 1 +float: 2 +idouble: 1 +ifloat: 2 +ildouble: 3 +ldouble: 3 + +Function: "tan_upward": +double: 1 +float: 2 +idouble: 1 +ifloat: 2 +ildouble: 2 +ldouble: 2 + +Function: "tanh": +double: 1 +idouble: 1 +ildouble: 3 +ldouble: 3 + +Function: "tanh_downward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 7 +ldouble: 4 + +Function: "tanh_towardzero": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 3 +ldouble: 3 + +Function: "tanh_upward": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 5 +ldouble: 4 + +Function: "tgamma": +double: 3 +float: 3 +idouble: 3 +ifloat: 3 +ildouble: 5 +ldouble: 5 + +Function: "tgamma_downward": +double: 3 +float: 4 +idouble: 3 +ifloat: 4 +ildouble: 5 +ldouble: 5 + +Function: "tgamma_towardzero": +double: 4 +float: 4 +idouble: 4 +ifloat: 4 +ildouble: 5 +ldouble: 5 + +Function: "tgamma_upward": +double: 4 +float: 4 +idouble: 4 +ifloat: 4 +ildouble: 5 +ldouble: 5 + +Function: "y0": +double: 1 +float: 1 +idouble: 1 +ifloat: 1 +ildouble: 1 +ldouble: 1 + +Function: "y0_downward": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 5 +ldouble: 5 + +Function: "y0_towardzero": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 5 +ldouble: 5 + +Function: "y0_upward": +double: 1 +float: 2 +idouble: 1 +ifloat: 2 +ildouble: 3 +ldouble: 3 + +Function: "y1": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 2 +ldouble: 2 + +Function: "y1_downward": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 7 +ldouble: 7 + +Function: "y1_towardzero": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 5 +ldouble: 5 + +Function: "y1_upward": +double: 1 +float: 3 +idouble: 1 +ifloat: 3 +ildouble: 7 +ldouble: 7 + +Function: "yn": +double: 2 +float: 3 +idouble: 2 +ifloat: 3 +ildouble: 4 +ldouble: 4 + +Function: "yn_downward": +double: 2 +float: 2 +idouble: 2 +ifloat: 2 +ildouble: 5 +ldouble: 5 + +Function: "yn_towardzero": +double: 3 +float: 3 +idouble: 3 +ifloat: 3 +ildouble: 5 +ldouble: 5 + +Function: "yn_upward": +double: 3 +float: 3 +idouble: 3 +ifloat: 3 +ildouble: 4 +ldouble: 4 + +# end of automatic generation diff --git a/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/libm-test-ulps-name b/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/libm-test-ulps-name new file mode 100644 index 0000000000..193dd704b3 --- /dev/null +++ b/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/libm-test-ulps-name @@ -0,0 +1 @@ +i686 diff --git a/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/s_cosf-sse2.S b/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/s_cosf-sse2.S new file mode 100644 index 0000000000..f37850d0b3 --- /dev/null +++ b/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/s_cosf-sse2.S @@ -0,0 +1,553 @@ +/* Optimized with sse2 version of cosf + Copyright (C) 2012-2017 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + 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 <sysdep.h> +#define __need_Emath +#include <bits/errno.h> + +/* Short algorithm description: + * + * 1) if |x| == 0: return 1.0-|x|. + * 2) if |x| < 2^-27: return 1.0-|x|. + * 3) if |x| < 2^-5 : return 1.0+x^2*DP_COS2_0+x^5*DP_COS2_1. + * 4) if |x| < Pi/4: return 1.0+x^2*(C0+x^2*(C1+x^2*(C2+x^2*(C3+x^2*C4)))). + * 5) if |x| < 9*Pi/4: + * 5.1) Range reduction: k=trunc(|x|/(Pi/4)), j=(k+1)&0x0e, n=k+3, + * t=|x|-j*Pi/4. + * 5.2) Reconstruction: + * s = (-1.0)^((n>>2)&1) + * if(n&2 != 0) { + * using cos(t) polynomial for |t|<Pi/4, result is + * s * (1.0+t^2*(C0+t^2*(C1+t^2*(C2+t^2*(C3+t^2*C4))))). + * } else { + * using sin(t) polynomial for |t|<Pi/4, result is + * s * t * (1.0+t^2*(S0+t^2*(S1+t^2*(S2+t^2*(S3+t^2*S4))))). + * } + * 6) if |x| < 2^23, large args: + * 6.1) Range reduction: k=trunc(|x|/(Pi/4)), j=(k+1)&0xfffffffe, n=k+3, + * t=|x|-j*Pi/4. + * 6.2) Reconstruction same as (5.2). + * 7) if |x| >= 2^23, very large args: + * 7.1) Range reduction: k=trunc(|x|/(Pi/4)), j=(k+1)&0xfffffffe, n=k+3, + * t=|x|-j*Pi/4. + * 7.2) Reconstruction same as (5.2). + * 8) if x is Inf, return x-x, and set errno=EDOM. + * 9) if x is NaN, return x-x. + * + * Special cases: + * cos(+-0) = 1 not raising inexact, + * cos(subnormal) raises inexact, + * cos(min_normalized) raises inexact, + * cos(normalized) raises inexact, + * cos(Inf) = NaN, raises invalid, sets errno to EDOM, + * cos(NaN) = NaN. + */ + +#ifdef PIC +# define MO1(symbol) L(symbol)##@GOTOFF(%ebx) +# define MO2(symbol,reg2,_scale) L(symbol)##@GOTOFF(%ebx,reg2,_scale) +# define CFI_PUSH(REG) cfi_adjust_cfa_offset(4); cfi_rel_offset(REG,0) +# define CFI_POP(REG) cfi_adjust_cfa_offset(-4); cfi_restore(REG) +# define PUSH(REG) pushl REG; CFI_PUSH(REG) +# define POP(REG) popl REG; CFI_POP(REG) +# define ENTRANCE PUSH(%ebx); LOAD_PIC_REG(bx) +# define RETURN POP(%ebx); ret; CFI_PUSH(%ebx) +# define ARG_X 8(%esp) +#else +# define MO1(symbol) L(symbol) +# define MO2(symbol,reg2,_scale) L(symbol)(,reg2,_scale) +# define ENTRANCE +# define RETURN ret +# define ARG_X 4(%esp) +#endif + + .text +ENTRY(__cosf_sse2) + /* Input: single precision x on stack at address ARG_X */ + + ENTRANCE + movl ARG_X, %eax /* Bits of x */ + cvtss2sd ARG_X, %xmm0 /* DP x */ + andl $0x7fffffff, %eax /* |x| */ + + cmpl $0x3f490fdb, %eax /* |x|<Pi/4? */ + jb L(arg_less_pio4) + + /* Here if |x|>=Pi/4 */ + movd %eax, %xmm3 /* SP |x| */ + andpd MO1(DP_ABS_MASK),%xmm0 /* DP |x| */ + movss MO1(SP_INVPIO4), %xmm2 /* SP 1/(Pi/4) */ + + cmpl $0x40e231d6, %eax /* |x|<9*Pi/4? */ + jae L(large_args) + + /* Here if Pi/4<=|x|<9*Pi/4 */ + mulss %xmm3, %xmm2 /* SP |x|/(Pi/4) */ + cvttss2si %xmm2, %eax /* k, number of Pi/4 in x */ + addl $1, %eax /* k+1 */ + movl $0x0e, %edx + andl %eax, %edx /* j = (k+1)&0x0e */ + addl $2, %eax /* n */ + subsd MO2(PIO4J,%edx,8), %xmm0 /* t = |x| - j * Pi/4 */ + +L(reconstruction): + /* Input: %eax=n, %xmm0=t */ + testl $2, %eax /* n&2 != 0? */ + jz L(sin_poly) + +/*L(cos_poly):*/ + /* Here if cos(x) calculated using cos(t) polynomial for |t|<Pi/4: + * y = t*t; z = y*y; + * s = sign(x) * (-1.0)^((n>>2)&1) + * result = s * (1.0+t^2*(C0+t^2*(C1+t^2*(C2+t^2*(C3+t^2*C4))))) + */ + shrl $2, %eax /* n>>2 */ + mulsd %xmm0, %xmm0 /* y=t^2 */ + andl $1, %eax /* (n>>2)&1 */ + movaps %xmm0, %xmm1 /* y */ + mulsd %xmm0, %xmm0 /* z=t^4 */ + + movsd MO1(DP_C4), %xmm4 /* C4 */ + mulsd %xmm0, %xmm4 /* z*C4 */ + movsd MO1(DP_C3), %xmm3 /* C3 */ + mulsd %xmm0, %xmm3 /* z*C3 */ + addsd MO1(DP_C2), %xmm4 /* C2+z*C4 */ + mulsd %xmm0, %xmm4 /* z*(C2+z*C4) */ + lea -8(%esp), %esp /* Borrow 4 bytes of stack frame */ + addsd MO1(DP_C1), %xmm3 /* C1+z*C3 */ + mulsd %xmm0, %xmm3 /* z*(C1+z*C3) */ + addsd MO1(DP_C0), %xmm4 /* C0+z*(C2+z*C4) */ + mulsd %xmm1, %xmm4 /* y*(C0+z*(C2+z*C4)) */ + + addsd %xmm4, %xmm3 /* y*(C0+y*(C1+y*(C2+y*(C3+y*C4)))) */ + /* 1.0+y*(C0+y*(C1+y*(C2+y*(C3+y*C4)))) */ + addsd MO1(DP_ONES), %xmm3 + + mulsd MO2(DP_ONES,%eax,8), %xmm3 /* DP result */ + movsd %xmm3, 0(%esp) /* Move result from sse... */ + fldl 0(%esp) /* ...to FPU. */ + /* Return back 4 bytes of stack frame */ + lea 8(%esp), %esp + RETURN + + .p2align 4 +L(sin_poly): + /* Here if cos(x) calculated using sin(t) polynomial for |t|<Pi/4: + * y = t*t; z = y*y; + * s = sign(x) * (-1.0)^((n>>2)&1) + * result = s * t * (1.0+t^2*(S0+t^2*(S1+t^2*(S2+t^2*(S3+t^2*S4))))) + */ + + movaps %xmm0, %xmm4 /* t */ + shrl $2, %eax /* n>>2 */ + mulsd %xmm0, %xmm0 /* y=t^2 */ + andl $1, %eax /* (n>>2)&1 */ + movaps %xmm0, %xmm1 /* y */ + mulsd %xmm0, %xmm0 /* z=t^4 */ + + movsd MO1(DP_S4), %xmm2 /* S4 */ + mulsd %xmm0, %xmm2 /* z*S4 */ + movsd MO1(DP_S3), %xmm3 /* S3 */ + mulsd %xmm0, %xmm3 /* z*S3 */ + lea -8(%esp), %esp /* Borrow 4 bytes of stack frame */ + addsd MO1(DP_S2), %xmm2 /* S2+z*S4 */ + mulsd %xmm0, %xmm2 /* z*(S2+z*S4) */ + addsd MO1(DP_S1), %xmm3 /* S1+z*S3 */ + mulsd %xmm0, %xmm3 /* z*(S1+z*S3) */ + addsd MO1(DP_S0), %xmm2 /* S0+z*(S2+z*S4) */ + mulsd %xmm1, %xmm2 /* y*(S0+z*(S2+z*S4)) */ + /* t*s, where s = sign(x) * (-1.0)^((n>>2)&1) */ + mulsd MO2(DP_ONES,%eax,8), %xmm4 + addsd %xmm2, %xmm3 /* y*(S0+y*(S1+y*(S2+y*(S3+y*S4)))) */ + /* t*s*y*(S0+y*(S1+y*(S2+y*(S3+y*S4)))) */ + mulsd %xmm4, %xmm3 + /* t*s*(1.0+y*(S0+y*(S1+y*(S2+y*(S3+y*S4)))) */ + addsd %xmm4, %xmm3 + movsd %xmm3, 0(%esp) /* Move result from sse... */ + fldl 0(%esp) /* ...to FPU. */ + /* Return back 4 bytes of stack frame */ + lea 8(%esp), %esp + RETURN + + .p2align 4 +L(large_args): + /* Here if |x|>=9*Pi/4 */ + cmpl $0x7f800000, %eax /* x is Inf or NaN? */ + jae L(arg_inf_or_nan) + + /* Here if finite |x|>=9*Pi/4 */ + cmpl $0x4b000000, %eax /* |x|<2^23? */ + jae L(very_large_args) + + /* Here if 9*Pi/4<=|x|<2^23 */ + movsd MO1(DP_INVPIO4), %xmm1 /* 1/(Pi/4) */ + mulsd %xmm0, %xmm1 /* |x|/(Pi/4) */ + cvttsd2si %xmm1, %eax /* k=trunc(|x|/(Pi/4)) */ + addl $1, %eax /* k+1 */ + movl %eax, %edx + andl $0xfffffffe, %edx /* j=(k+1)&0xfffffffe */ + cvtsi2sdl %edx, %xmm4 /* DP j */ + movsd MO1(DP_PIO4HI), %xmm2 /* -PIO4HI = high part of -Pi/4 */ + mulsd %xmm4, %xmm2 /* -j*PIO4HI */ + movsd MO1(DP_PIO4LO), %xmm3 /* -PIO4LO = low part of -Pi/4 */ + addsd %xmm2, %xmm0 /* |x| - j*PIO4HI */ + addl $2, %eax /* n */ + mulsd %xmm3, %xmm4 /* j*PIO4LO */ + addsd %xmm4, %xmm0 /* t = |x| - j*PIO4HI - j*PIO4LO */ + jmp L(reconstruction) + + .p2align 4 +L(very_large_args): + /* Here if finite |x|>=2^23 */ + + /* bitpos = (ix>>23) - BIAS_32 + 59; */ + shrl $23, %eax /* eb = biased exponent of x */ + /* bitpos = eb - 0x7f + 59, where 0x7f is exponent bias */ + subl $68, %eax + movl $28, %ecx /* %cl=28 */ + movl %eax, %edx /* bitpos copy */ + + /* j = bitpos/28; */ + div %cl /* j in register %al=%ax/%cl */ + movapd %xmm0, %xmm3 /* |x| */ + /* clear unneeded remainder from %ah */ + andl $0xff, %eax + + imull $28, %eax, %ecx /* j*28 */ + movsd MO1(DP_HI_MASK), %xmm4 /* DP_HI_MASK */ + movapd %xmm0, %xmm5 /* |x| */ + mulsd -2*8+MO2(_FPI,%eax,8), %xmm3 /* tmp3 = FPI[j-2]*|x| */ + movapd %xmm0, %xmm1 /* |x| */ + mulsd -1*8+MO2(_FPI,%eax,8), %xmm5 /* tmp2 = FPI[j-1]*|x| */ + mulsd 0*8+MO2(_FPI,%eax,8), %xmm0 /* tmp0 = FPI[j]*|x| */ + addl $19, %ecx /* j*28+19 */ + mulsd 1*8+MO2(_FPI,%eax,8), %xmm1 /* tmp1 = FPI[j+1]*|x| */ + cmpl %ecx, %edx /* bitpos>=j*28+19? */ + jl L(very_large_skip1) + + /* Here if bitpos>=j*28+19 */ + andpd %xmm3, %xmm4 /* HI(tmp3) */ + subsd %xmm4, %xmm3 /* tmp3 = tmp3 - HI(tmp3) */ +L(very_large_skip1): + + movsd MO1(DP_2POW52), %xmm6 + movapd %xmm5, %xmm2 /* tmp2 copy */ + addsd %xmm3, %xmm5 /* tmp5 = tmp3 + tmp2 */ + movl $1, %edx + addsd %xmm5, %xmm6 /* tmp6 = tmp5 + 2^52 */ + movsd 8+MO1(DP_2POW52), %xmm4 + movd %xmm6, %eax /* k = I64_LO(tmp6); */ + addsd %xmm6, %xmm4 /* tmp4 = tmp6 - 2^52 */ + comisd %xmm5, %xmm4 /* tmp4 > tmp5? */ + jbe L(very_large_skip2) + + /* Here if tmp4 > tmp5 */ + subl $1, %eax /* k-- */ + addsd 8+MO1(DP_ONES), %xmm4 /* tmp4 -= 1.0 */ +L(very_large_skip2): + + andl %eax, %edx /* k&1 */ + subsd %xmm4, %xmm3 /* tmp3 -= tmp4 */ + addsd MO2(DP_ZERONE,%edx,8), %xmm3 /* t = DP_ZERONE[k&1] + tmp3 */ + addsd %xmm2, %xmm3 /* t += tmp2 */ + addsd %xmm3, %xmm0 /* t += tmp0 */ + addl $3, %eax /* n=k+3 */ + addsd %xmm1, %xmm0 /* t += tmp1 */ + mulsd MO1(DP_PIO4), %xmm0 /* t *= PI04 */ + + jmp L(reconstruction) /* end of very_large_args peth */ + + .p2align 4 +L(arg_less_pio4): + /* Here if |x|<Pi/4 */ + cmpl $0x3d000000, %eax /* |x|<2^-5? */ + jl L(arg_less_2pn5) + + /* Here if 2^-5<=|x|<Pi/4 */ + mulsd %xmm0, %xmm0 /* y=x^2 */ + movaps %xmm0, %xmm1 /* y */ + mulsd %xmm0, %xmm0 /* z=x^4 */ + movsd MO1(DP_C4), %xmm3 /* C4 */ + mulsd %xmm0, %xmm3 /* z*C4 */ + movsd MO1(DP_C3), %xmm5 /* C3 */ + mulsd %xmm0, %xmm5 /* z*C3 */ + addsd MO1(DP_C2), %xmm3 /* C2+z*C4 */ + mulsd %xmm0, %xmm3 /* z*(C2+z*C4) */ + addsd MO1(DP_C1), %xmm5 /* C1+z*C3 */ + mulsd %xmm0, %xmm5 /* z*(C1+z*C3) */ + addsd MO1(DP_C0), %xmm3 /* C0+z*(C2+z*C4) */ + mulsd %xmm1, %xmm3 /* y*(C0+z*(C2+z*C4)) */ + addsd %xmm5, %xmm3 /* y*(C0+y*(C1+y*(C2+y*(C3+y*C4)))) */ + /* 1.0 + y*(C0+y*(C1+y*(C2+y*(C3+y*C4)))) */ + addsd MO1(DP_ONES), %xmm3 + cvtsd2ss %xmm3, %xmm3 /* SP result */ + +L(epilogue): + lea -4(%esp), %esp /* Borrow 4 bytes of stack frame */ + movss %xmm3, 0(%esp) /* Move result from sse... */ + flds 0(%esp) /* ...to FPU. */ + /* Return back 4 bytes of stack frame */ + lea 4(%esp), %esp + RETURN + + .p2align 4 +L(arg_less_2pn5): + /* Here if |x|<2^-5 */ + cmpl $0x32000000, %eax /* |x|<2^-27? */ + jl L(arg_less_2pn27) + + /* Here if 2^-27<=|x|<2^-5 */ + mulsd %xmm0, %xmm0 /* DP x^2 */ + movsd MO1(DP_COS2_1), %xmm3 /* DP DP_COS2_1 */ + mulsd %xmm0, %xmm3 /* DP x^2*DP_COS2_1 */ + addsd MO1(DP_COS2_0), %xmm3 /* DP DP_COS2_0+x^2*DP_COS2_1 */ + mulsd %xmm0, %xmm3 /* DP x^2*DP_COS2_0+x^4*DP_COS2_1 */ + /* DP 1.0+x^2*DP_COS2_0+x^4*DP_COS2_1 */ + addsd MO1(DP_ONES), %xmm3 + cvtsd2ss %xmm3, %xmm3 /* SP result */ + jmp L(epilogue) + + .p2align 4 +L(arg_less_2pn27): + /* Here if |x|<2^-27 */ + movss ARG_X, %xmm0 /* x */ + andps MO1(SP_ABS_MASK),%xmm0 /* |x| */ + movss MO1(SP_ONE), %xmm3 /* 1.0 */ + subss %xmm0, %xmm3 /* result is 1.0-|x| */ + jmp L(epilogue) + + .p2align 4 +L(arg_inf_or_nan): + /* Here if |x| is Inf or NAN */ + jne L(skip_errno_setting) /* in case of x is NaN */ + + /* Here if x is Inf. Set errno to EDOM. */ + call JUMPTARGET(__errno_location) + movl $EDOM, (%eax) + + .p2align 4 +L(skip_errno_setting): + /* Here if |x| is Inf or NAN. Continued. */ + movss ARG_X, %xmm3 /* load x */ + subss %xmm3, %xmm3 /* Result is NaN */ + jmp L(epilogue) +END(__cosf_sse2) + + .section .rodata, "a" + .p2align 3 +L(PIO4J): /* Table of j*Pi/4, for j=0,1,..,10 */ + .long 0x00000000,0x00000000 + .long 0x54442d18,0x3fe921fb + .long 0x54442d18,0x3ff921fb + .long 0x7f3321d2,0x4002d97c + .long 0x54442d18,0x400921fb + .long 0x2955385e,0x400f6a7a + .long 0x7f3321d2,0x4012d97c + .long 0xe9bba775,0x4015fdbb + .long 0x54442d18,0x401921fb + .long 0xbeccb2bb,0x401c463a + .long 0x2955385e,0x401f6a7a + .type L(PIO4J), @object + ASM_SIZE_DIRECTIVE(L(PIO4J)) + + .p2align 3 +L(_FPI): /* 4/Pi broken into sum of positive DP values */ + .long 0x00000000,0x00000000 + .long 0x6c000000,0x3ff45f30 + .long 0x2a000000,0x3e3c9c88 + .long 0xa8000000,0x3c54fe13 + .long 0xd0000000,0x3aaf47d4 + .long 0x6c000000,0x38fbb81b + .long 0xe0000000,0x3714acc9 + .long 0x7c000000,0x3560e410 + .long 0x56000000,0x33bca2c7 + .long 0xac000000,0x31fbd778 + .long 0xe0000000,0x300b7246 + .long 0xe8000000,0x2e5d2126 + .long 0x48000000,0x2c970032 + .long 0xe8000000,0x2ad77504 + .long 0xe0000000,0x290921cf + .long 0xb0000000,0x274deb1c + .long 0xe0000000,0x25829a73 + .long 0xbe000000,0x23fd1046 + .long 0x10000000,0x2224baed + .long 0x8e000000,0x20709d33 + .long 0x80000000,0x1e535a2f + .long 0x64000000,0x1cef904e + .long 0x30000000,0x1b0d6398 + .long 0x24000000,0x1964ce7d + .long 0x16000000,0x17b908bf + .type L(_FPI), @object + ASM_SIZE_DIRECTIVE(L(_FPI)) + +/* Coefficients of polynomial + for cos(x)~=1.0+x^2*DP_COS2_0+x^4*DP_COS2_1, |x|<2^-5. */ + .p2align 3 +L(DP_COS2_0): + .long 0xff5cc6fd,0xbfdfffff + .type L(DP_COS2_0), @object + ASM_SIZE_DIRECTIVE(L(DP_COS2_0)) + + .p2align 3 +L(DP_COS2_1): + .long 0xb178dac5,0x3fa55514 + .type L(DP_COS2_1), @object + ASM_SIZE_DIRECTIVE(L(DP_COS2_1)) + + .p2align 3 +L(DP_ZERONE): + .long 0x00000000,0x00000000 /* 0.0 */ + .long 0x00000000,0xbff00000 /* 1.0 */ + .type L(DP_ZERONE),@object + ASM_SIZE_DIRECTIVE(L(DP_ZERONE)) + + .p2align 3 +L(DP_ONES): + .long 0x00000000,0x3ff00000 /* +1.0 */ + .long 0x00000000,0xbff00000 /* -1.0 */ + .type L(DP_ONES), @object + ASM_SIZE_DIRECTIVE(L(DP_ONES)) + +/* Coefficients of polynomial + for sin(t)~=t+t^3*(S0+t^2*(S1+t^2*(S2+t^2*(S3+t^2*S4)))), |t|<Pi/4. */ + .p2align 3 +L(DP_S3): + .long 0x64e6b5b4,0x3ec71d72 + .type L(DP_S3), @object + ASM_SIZE_DIRECTIVE(L(DP_S3)) + + .p2align 3 +L(DP_S1): + .long 0x10c2688b,0x3f811111 + .type L(DP_S1), @object + ASM_SIZE_DIRECTIVE(L(DP_S1)) + + .p2align 3 +L(DP_S4): + .long 0x1674b58a,0xbe5a947e + .type L(DP_S4), @object + ASM_SIZE_DIRECTIVE(L(DP_S4)) + + .p2align 3 +L(DP_S2): + .long 0x8b4bd1f9,0xbf2a019f + .type L(DP_S2), @object + ASM_SIZE_DIRECTIVE(L(DP_S2)) + + .p2align 3 +L(DP_S0): + .long 0x55551cd9,0xbfc55555 + .type L(DP_S0), @object + ASM_SIZE_DIRECTIVE(L(DP_S0)) + +/* Coefficients of polynomial + for cos(t)~=1.0+t^2*(C0+t^2*(C1+t^2*(C2+t^2*(C3+t^2*C4)))), |t|<Pi/4. */ + .p2align 3 +L(DP_C3): + .long 0x9ac43cc0,0x3efa00eb + .type L(DP_C3), @object + ASM_SIZE_DIRECTIVE(L(DP_C3)) + + .p2align 3 +L(DP_C1): + .long 0x545c50c7,0x3fa55555 + .type L(DP_C1), @object + ASM_SIZE_DIRECTIVE(L(DP_C1)) + + .p2align 3 +L(DP_C4): + .long 0xdd8844d7,0xbe923c97 + .type L(DP_C4), @object + ASM_SIZE_DIRECTIVE(L(DP_C4)) + + .p2align 3 +L(DP_C2): + .long 0x348b6874,0xbf56c16b + .type L(DP_C2), @object + ASM_SIZE_DIRECTIVE(L(DP_C2)) + + .p2align 3 +L(DP_C0): + .long 0xfffe98ae,0xbfdfffff + .type L(DP_C0), @object + ASM_SIZE_DIRECTIVE(L(DP_C0)) + + .p2align 3 +L(DP_PIO4): + .long 0x54442d18,0x3fe921fb /* Pi/4 */ + .type L(DP_PIO4), @object + ASM_SIZE_DIRECTIVE(L(DP_PIO4)) + + .p2align 3 +L(DP_2POW52): + .long 0x00000000,0x43300000 /* +2^52 */ + .long 0x00000000,0xc3300000 /* -2^52 */ + .type L(DP_2POW52), @object + ASM_SIZE_DIRECTIVE(L(DP_2POW52)) + + .p2align 3 +L(DP_INVPIO4): + .long 0x6dc9c883,0x3ff45f30 /* 4/Pi */ + .type L(DP_INVPIO4), @object + ASM_SIZE_DIRECTIVE(L(DP_INVPIO4)) + + .p2align 3 +L(DP_PIO4HI): + .long 0x54000000,0xbfe921fb /* High part of Pi/4 */ + .type L(DP_PIO4HI), @object + ASM_SIZE_DIRECTIVE(L(DP_PIO4HI)) + + .p2align 3 +L(DP_PIO4LO): + .long 0x11A62633,0xbe010b46 /* Low part of Pi/4 */ + .type L(DP_PIO4LO), @object + ASM_SIZE_DIRECTIVE(L(DP_PIO4LO)) + + .p2align 2 +L(SP_INVPIO4): + .long 0x3fa2f983 /* 4/Pi */ + .type L(SP_INVPIO4), @object + ASM_SIZE_DIRECTIVE(L(SP_INVPIO4)) + + .p2align 4 +L(DP_ABS_MASK): /* Mask for getting DP absolute value */ + .long 0xffffffff,0x7fffffff + .long 0xffffffff,0x7fffffff + .type L(DP_ABS_MASK), @object + ASM_SIZE_DIRECTIVE(L(DP_ABS_MASK)) + + .p2align 3 +L(DP_HI_MASK): /* Mask for getting high 21 bits of DP value */ + .long 0x00000000,0xffffffff + .type L(DP_HI_MASK), @object + ASM_SIZE_DIRECTIVE(L(DP_HI_MASK)) + + .p2align 4 +L(SP_ABS_MASK): /* Mask for getting SP absolute value */ + .long 0x7fffffff,0x7fffffff + .long 0x7fffffff,0x7fffffff + .type L(SP_ABS_MASK), @object + ASM_SIZE_DIRECTIVE(L(SP_ABS_MASK)) + + .p2align 2 +L(SP_ONE): + .long 0x3f800000 /* 1.0 */ + .type L(SP_ONE), @object + ASM_SIZE_DIRECTIVE(L(SP_ONE)) + +weak_alias (__cosf, cosf) diff --git a/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/s_cosf.c b/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/s_cosf.c new file mode 100644 index 0000000000..af588de9dc --- /dev/null +++ b/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/s_cosf.c @@ -0,0 +1,29 @@ +/* Multiple versions of cosf + Copyright (C) 2012-2017 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + 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 <init-arch.h> + +extern float __cosf_sse2 (float); +extern float __cosf_ia32 (float); +float __cosf (float); + +libm_ifunc (__cosf, HAS_CPU_FEATURE (SSE2) ? __cosf_sse2 : __cosf_ia32); +weak_alias (__cosf, cosf); + +#define COSF __cosf_ia32 +#include <sysdeps/ieee754/flt-32/s_cosf.c> diff --git a/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/s_sincosf-sse2.S b/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/s_sincosf-sse2.S new file mode 100644 index 0000000000..f31a925522 --- /dev/null +++ b/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/s_sincosf-sse2.S @@ -0,0 +1,586 @@ +/* Optimized with sse2 version of sincosf + Copyright (C) 2012-2017 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + 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 <sysdep.h> +#define __need_Emath +#include <bits/errno.h> + +/* Short algorithm description: + * + * 1) if |x|==0: sin(x)=x, + * cos(x)=1. + * 2) if |x|<2^-27: sin(x)=x-x*DP_SMALL, raising underflow only when needed, + * cos(x)=1-|x|. + * 3) if |x|<2^-5 : sin(x)=x+x*x^2*DP_SIN2_0+x^5*DP_SIN2_1, + * cos(x)=1+1*x^2*DP_COS2_0+x^5*DP_COS2_1 + * 4) if |x|< Pi/4: sin(x)=x+x*x^2*(S0+x^2*(S1+x^2*(S2+x^2*(S3+x^2*S4)))), + * cos(x)=1+1*x^2*(C0+x^2*(C1+x^2*(C2+x^2*(C3+x^2*C4)))). + * 5) if |x| < 9*Pi/4: + * 5.1) Range reduction: + * k=trunc(|x|/(Pi/4)), j=(k+1)&0x0e, n=k+1, t=|x|-j*Pi/4. + * 5.2) Reconstruction: + * sign_sin = sign(x) * (-1.0)^(( n >>2)&1) + * sign_cos = (-1.0)^(((n+2)>>2)&1) + * poly_sin = ((((S4*t^2 + S3)*t^2 + S2)*t^2 + S1)*t^2 + S0)*t^2*t+t + * poly_cos = ((((C4*t^2 + C3)*t^2 + C2)*t^2 + C1)*t^2 + C0)*t^2*s+s + * if(n&2 != 0) { + * using cos(t) and sin(t) polynomials for |t|<Pi/4, results are + * cos(x) = poly_sin * sign_cos + * sin(x) = poly_cos * sign_sin + * } else { + * sin(x) = poly_sin * sign_sin + * cos(x) = poly_cos * sign_cos + * } + * 6) if |x| < 2^23, large args: + * 6.1) Range reduction: + * k=trunc(|x|/(Pi/4)), j=(k+1)&0xfffffffe, n=k+1, t=|x|-j*Pi/4 + * 6.2) Reconstruction same as (5.2). + * 7) if |x| >= 2^23, very large args: + * 7.1) Range reduction: + * k=trunc(|x|/(Pi/4)), j=(k+1)&0xfffffffe, n=k+1, t=|x|-j*Pi/4. + * 7.2) Reconstruction same as (5.2). + * 8) if x is Inf, return x-x, and set errno=EDOM. + * 9) if x is NaN, return x-x. + * + * Special cases: + * sin/cos(+-0) = +-0/1 not raising inexact/underflow, + * sin/cos(subnormal) raises inexact/underflow, + * sin/cos(min_normalized) raises inexact/underflow, + * sin/cos(normalized) raises inexact, + * sin/cos(Inf) = NaN, raises invalid, sets errno to EDOM, + * sin/cos(NaN) = NaN. + */ + +#ifdef PIC +# define MO1(symbol) L(symbol)##@GOTOFF(%ebx) +# define MO2(symbol,reg2,_scale) L(symbol)##@GOTOFF(%ebx,reg2,_scale) +# define CFI_PUSH(REG) cfi_adjust_cfa_offset(4); cfi_rel_offset(REG,0) +# define CFI_POP(REG) cfi_adjust_cfa_offset(-4); cfi_restore(REG) +# define PUSH(REG) pushl REG; CFI_PUSH(REG) +# define POP(REG) popl REG; CFI_POP(REG) +# define ENTRANCE PUSH(%ebx); LOAD_PIC_REG(bx) +# define RETURN POP(%ebx); ret; CFI_PUSH(%ebx) +# define ARG_X 8(%esp) +# define ARG_SIN_PTR 12(%esp) +# define ARG_COS_PTR 16(%esp) +#else +# define MO1(symbol) L(symbol) +# define MO2(symbol,reg2,_scale) L(symbol)(,reg2,_scale) +# define ENTRANCE +# define RETURN ret +# define ARG_X 4(%esp) +# define ARG_SIN_PTR 8(%esp) +# define ARG_COS_PTR 12(%esp) +#endif + + .text +ENTRY(__sincosf_sse2) + /* Input: single precision x on stack at address ARG_X */ + /* pointer to sin result on stack at address ARG_SIN_PTR */ + /* pointer to cos result on stack at address ARG_COS_PTR */ + + ENTRANCE + movl ARG_X, %eax /* Bits of x */ + cvtss2sd ARG_X, %xmm0 /* DP x */ + andl $0x7fffffff, %eax /* |x| */ + + cmpl $0x3f490fdb, %eax /* |x|<Pi/4 ? */ + jb L(arg_less_pio4) + + /* Here if |x|>=Pi/4 */ + movd %eax, %xmm3 /* SP |x| */ + andpd MO1(DP_ABS_MASK),%xmm0 /* DP |x| */ + movss MO1(SP_INVPIO4), %xmm2 /* SP 1/(Pi/4) */ + + cmpl $0x40e231d6, %eax /* |x|<9*Pi/4 ? */ + jae L(large_args) + + /* Here if Pi/4<=|x|<9*Pi/4 */ + mulss %xmm3, %xmm2 /* SP |x|/(Pi/4) */ + movl ARG_X, %ecx /* Load x */ + cvttss2si %xmm2, %eax /* k, number of Pi/4 in x */ + shrl $29, %ecx /* (sign of x) << 2 */ + addl $1, %eax /* k+1 */ + movl $0x0e, %edx + andl %eax, %edx /* j = (k+1)&0x0e */ + subsd MO2(PIO4J,%edx,8), %xmm0/* t = |x| - j * Pi/4 */ + +L(reconstruction): + /* Input: %eax=n, %xmm0=t, %ecx=sign(x) */ + + movaps %xmm0, %xmm4 /* t */ + movhpd MO1(DP_ONES), %xmm4 /* 1|t */ + mulsd %xmm0, %xmm0 /* y=t^2 */ + movl $2, %edx + unpcklpd %xmm0, %xmm0 /* y|y */ + addl %eax, %edx /* k+2 */ + movaps %xmm0, %xmm1 /* y|y */ + mulpd %xmm0, %xmm0 /* z=t^4|z=t^4 */ + + movaps MO1(DP_SC4), %xmm2 /* S4 */ + mulpd %xmm0, %xmm2 /* z*S4 */ + movaps MO1(DP_SC3), %xmm3 /* S3 */ + mulpd %xmm0, %xmm3 /* z*S3 */ + xorl %eax, %ecx /* (sign_x ^ (k>>2))<<2 */ + addpd MO1(DP_SC2), %xmm2 /* S2+z*S4 */ + mulpd %xmm0, %xmm2 /* z*(S2+z*S4) */ + shrl $2, %edx /* (k+2)>>2 */ + addpd MO1(DP_SC1), %xmm3 /* S1+z*S3 */ + mulpd %xmm0, %xmm3 /* z*(S1+z*S3) */ + shrl $2, %ecx /* sign_x ^ k>>2 */ + addpd MO1(DP_SC0), %xmm2 /* S0+z*(S2+z*S4) */ + andl $1, %edx /* sign_cos = ((k+2)>>2)&1 */ + mulpd %xmm1, %xmm2 /* y*(S0+z*(S2+z*S4)) */ + andl $1, %ecx /* sign_sin = sign_x ^ ((k>>2)&1) */ + addpd %xmm2, %xmm3 /* y*(S0+y*(S1+y*(S2+y*(S3+y*S4)))) */ + mulpd %xmm4, %xmm3 /*t*y*(S0+y*(S1+y*(S2+y*(S3+y*S4))))*/ + testl $2, %eax /* n&2 != 0 ? */ + addpd %xmm4, %xmm3 /*t+t*y*(S0+y*(S1+y*(S2+y*(S3+y*S4))*/ + jnz L(sin_result_sin_poly) + +/*L(sin_result_cos_poly):*/ + /* + * Here if + * cos(x) = poly_sin * sign_cos + * sin(x) = poly_cos * sign_sin + */ + movsd MO2(DP_ONES,%ecx,8), %xmm4/* 0|sign_sin */ + movhpd MO2(DP_ONES,%edx,8), %xmm4/* sign_cos|sign_sin */ + mulpd %xmm4, %xmm3 /* result_cos|result_sin */ + movl ARG_SIN_PTR, %eax + cvtpd2ps %xmm3, %xmm0 /* SP results */ + movl ARG_COS_PTR, %ecx + movss %xmm0, (%eax) /* store sin(x) from xmm0[0] */ + shufps $1, %xmm0, %xmm0 /* move cos(x) to xmm0[0] */ + movss %xmm0, (%ecx) /* store cos(x) */ + RETURN + + .p2align 4 +L(sin_result_sin_poly): + /* + * Here if + * sin(x) = poly_sin * sign_sin + * cos(x) = poly_cos * sign_cos + */ + movsd MO2(DP_ONES,%edx,8), %xmm4/* 0|sign_cos */ + movhpd MO2(DP_ONES,%ecx,8), %xmm4/* sign_sin|sign_cos */ + mulpd %xmm4, %xmm3 /* result_sin|result_cos */ + movl ARG_SIN_PTR, %eax + cvtpd2ps %xmm3, %xmm0 /* SP results */ + movl ARG_COS_PTR, %ecx + movss %xmm0, (%ecx) /* store cos(x) from xmm0[0] */ + shufps $1, %xmm0, %xmm0 /* move sin(x) to xmm0[0] */ + movss %xmm0, (%eax) /* store sin(x) */ + RETURN + + .p2align 4 +L(large_args): + /* Here if |x|>=9*Pi/4 */ + cmpl $0x7f800000, %eax /* x is Inf or NaN ? */ + jae L(arg_inf_or_nan) + + /* Here if finite |x|>=9*Pi/4 */ + cmpl $0x4b000000, %eax /* |x|<2^23 ? */ + jae L(very_large_args) + + /* Here if 9*Pi/4<=|x|<2^23 */ + movsd MO1(DP_INVPIO4), %xmm1 /* 1/(Pi/4) */ + mulsd %xmm0, %xmm1 /* |x|/(Pi/4) */ + cvttsd2si %xmm1, %eax /* k=trunc(|x|/(Pi/4)) */ + addl $1, %eax /* k+1 */ + movl %eax, %edx + andl $0xfffffffe, %edx /* j=(k+1)&0xfffffffe */ + cvtsi2sdl %edx, %xmm4 /* DP j */ + movl ARG_X, %ecx /* Load x */ + movsd MO1(DP_PIO4HI), %xmm2 /* -PIO4HI = high part of -Pi/4 */ + shrl $29, %ecx /* (sign of x) << 2 */ + mulsd %xmm4, %xmm2 /* -j*PIO4HI */ + movsd MO1(DP_PIO4LO), %xmm3 /* -PIO4LO = low part of -Pi/4 */ + addsd %xmm2, %xmm0 /* |x| - j*PIO4HI */ + mulsd %xmm3, %xmm4 /* j*PIO4LO */ + addsd %xmm4, %xmm0 /* t = |x| - j*PIO4HI - j*PIO4LO */ + jmp L(reconstruction) + + .p2align 4 +L(very_large_args): + /* Here if finite |x|>=2^23 */ + + /* bitpos = (ix>>23) - BIAS_32 + 59; */ + shrl $23, %eax /* eb = biased exponent of x */ + subl $68, %eax /* bitpos=eb-0x7f+59, where 0x7f */ + /*is exponent bias */ + movl $28, %ecx /* %cl=28 */ + movl %eax, %edx /* bitpos copy */ + + /* j = bitpos/28; */ + div %cl /* j in register %al=%ax/%cl */ + movapd %xmm0, %xmm3 /* |x| */ + andl $0xff, %eax /* clear unneeded remainder from %ah*/ + + imull $28, %eax, %ecx /* j*28 */ + movsd MO1(DP_HI_MASK), %xmm4 /* DP_HI_MASK */ + movapd %xmm0, %xmm5 /* |x| */ + mulsd -2*8+MO2(_FPI,%eax,8), %xmm3/* tmp3 = FPI[j-2]*|x| */ + movapd %xmm0, %xmm1 /* |x| */ + mulsd -1*8+MO2(_FPI,%eax,8), %xmm5/* tmp2 = FPI[j-1]*|x| */ + mulsd 0*8+MO2(_FPI,%eax,8), %xmm0/* tmp0 = FPI[j]*|x| */ + addl $19, %ecx /* j*28+19 */ + mulsd 1*8+MO2(_FPI,%eax,8), %xmm1/* tmp1 = FPI[j+1]*|x| */ + cmpl %ecx, %edx /* bitpos>=j*28+19 ? */ + jl L(very_large_skip1) + + /* Here if bitpos>=j*28+19 */ + andpd %xmm3, %xmm4 /* HI(tmp3) */ + subsd %xmm4, %xmm3 /* tmp3 = tmp3 - HI(tmp3) */ +L(very_large_skip1): + + movsd MO1(DP_2POW52), %xmm6 + movapd %xmm5, %xmm2 /* tmp2 copy */ + addsd %xmm3, %xmm5 /* tmp5 = tmp3 + tmp2 */ + movl $1, %edx + addsd %xmm5, %xmm6 /* tmp6 = tmp5 + 2^52 */ + movsd 8+MO1(DP_2POW52), %xmm4 + movd %xmm6, %eax /* k = I64_LO(tmp6); */ + addsd %xmm6, %xmm4 /* tmp4 = tmp6 - 2^52 */ + movl ARG_X, %ecx /* Load x */ + comisd %xmm5, %xmm4 /* tmp4 > tmp5 ? */ + jbe L(very_large_skip2) + + /* Here if tmp4 > tmp5 */ + subl $1, %eax /* k-- */ + addsd 8+MO1(DP_ONES), %xmm4 /* tmp4 -= 1.0 */ +L(very_large_skip2): + + andl %eax, %edx /* k&1 */ + subsd %xmm4, %xmm3 /* tmp3 -= tmp4 */ + addsd MO2(DP_ZERONE,%edx,8), %xmm3/* t = DP_ZERONE[k&1] + tmp3 */ + addsd %xmm2, %xmm3 /* t += tmp2 */ + shrl $29, %ecx /* (sign of x) << 2 */ + addsd %xmm3, %xmm0 /* t += tmp0 */ + addl $1, %eax /* n=k+1 */ + addsd %xmm1, %xmm0 /* t += tmp1 */ + mulsd MO1(DP_PIO4), %xmm0 /* t *= PI04 */ + + jmp L(reconstruction) /* end of very_large_args peth */ + + .p2align 4 +L(arg_less_pio4): + /* Here if |x|<Pi/4 */ + cmpl $0x3d000000, %eax /* |x|<2^-5 ? */ + jl L(arg_less_2pn5) + + /* Here if 2^-5<=|x|<Pi/4 */ + movaps %xmm0, %xmm3 /* DP x */ + movhpd MO1(DP_ONES), %xmm3 /* DP 1|x */ + mulsd %xmm0, %xmm0 /* DP y=x^2 */ + unpcklpd %xmm0, %xmm0 /* DP y|y */ + movaps %xmm0, %xmm1 /* y|y */ + mulpd %xmm0, %xmm0 /* z=x^4|z=x^4 */ + + movapd MO1(DP_SC4), %xmm4 /* S4 */ + mulpd %xmm0, %xmm4 /* z*S4 */ + movapd MO1(DP_SC3), %xmm5 /* S3 */ + mulpd %xmm0, %xmm5 /* z*S3 */ + addpd MO1(DP_SC2), %xmm4 /* S2+z*S4 */ + mulpd %xmm0, %xmm4 /* z*(S2+z*S4) */ + addpd MO1(DP_SC1), %xmm5 /* S1+z*S3 */ + mulpd %xmm0, %xmm5 /* z*(S1+z*S3) */ + addpd MO1(DP_SC0), %xmm4 /* S0+z*(S2+z*S4) */ + mulpd %xmm1, %xmm4 /* y*(S0+z*(S2+z*S4)) */ + mulpd %xmm3, %xmm5 /* x*z*(S1+z*S3) */ + mulpd %xmm3, %xmm4 /* x*y*(S0+z*(S2+z*S4)) */ + addpd %xmm5, %xmm4 /*x*y*(S0+y*(S1+y*(S2+y*(S3+y*S4))))*/ + movl ARG_SIN_PTR, %eax + addpd %xmm4, %xmm3 /*x+x*y*(S0+y*(S1+y*(S2+y*(S3+y*S4))*/ + movl ARG_COS_PTR, %ecx + cvtpd2ps %xmm3, %xmm0 /* SP results */ + movss %xmm0, (%eax) /* store sin(x) from xmm0[0] */ + shufps $1, %xmm0, %xmm0 /* move cos(x) to xmm0[0] */ + movss %xmm0, (%ecx) /* store cos(x) */ + RETURN + + .p2align 4 +L(arg_less_2pn5): + /* Here if |x|<2^-5 */ + cmpl $0x32000000, %eax /* |x|<2^-27 ? */ + jl L(arg_less_2pn27) + + /* Here if 2^-27<=|x|<2^-5 */ + movaps %xmm0, %xmm1 /* DP x */ + movhpd MO1(DP_ONES), %xmm1 /* DP 1|x */ + mulsd %xmm0, %xmm0 /* DP x^2 */ + unpcklpd %xmm0, %xmm0 /* DP x^2|x^2 */ + + movaps MO1(DP_SINCOS2_1), %xmm3/* DP DP_SIN2_1 */ + mulpd %xmm0, %xmm3 /* DP x^2*DP_SIN2_1 */ + addpd MO1(DP_SINCOS2_0), %xmm3/* DP DP_SIN2_0+x^2*DP_SIN2_1 */ + mulpd %xmm0, %xmm3 /* DP x^2*DP_SIN2_0+x^4*DP_SIN2_1 */ + mulpd %xmm1, %xmm3 /* DP x^3*DP_SIN2_0+x^5*DP_SIN2_1 */ + addpd %xmm1, %xmm3 /* DP x+x^3*DP_SIN2_0+x^5*DP_SIN2_1 */ + movl ARG_SIN_PTR, %eax + cvtpd2ps %xmm3, %xmm0 /* SP results */ + movl ARG_COS_PTR, %ecx + movss %xmm0, (%eax) /* store sin(x) from xmm0[0] */ + shufps $1, %xmm0, %xmm0 /* move cos(x) to xmm0[0] */ + movss %xmm0, (%ecx) /* store cos(x) */ + RETURN + + .p2align 4 +L(arg_less_2pn27): + movss ARG_X, %xmm7 /* SP x */ + cmpl $0, %eax /* x=0 ? */ + je L(arg_zero) /* in case x=0 return sin(+-0)==+-0 */ + /* Here if |x|<2^-27 */ + /* + * Special cases here: + * sin(subnormal) raises inexact/underflow + * sin(min_normalized) raises inexact/underflow + * sin(normalized) raises inexact + * cos(here)=1-|x| (raising inexact) + */ + movaps %xmm0, %xmm3 /* DP x */ + mulsd MO1(DP_SMALL), %xmm0 /* DP x*DP_SMALL */ + subsd %xmm0, %xmm3 /* DP sin result is x-x*DP_SMALL */ + andps MO1(SP_ABS_MASK), %xmm7 /* SP |x| */ + cvtsd2ss %xmm3, %xmm0 /* sin(x) */ + movl ARG_SIN_PTR, %eax + movss MO1(SP_ONE), %xmm1 /* SP 1.0 */ + movss %xmm0, (%eax) /* sin(x) store */ + movl ARG_COS_PTR, %ecx + subss %xmm7, %xmm1 /* cos(x) */ + movss %xmm1, (%ecx) /* cos(x) store */ + RETURN + + .p2align 4 +L(arg_zero): + movss MO1(SP_ONE), %xmm0 /* 1.0 */ + movl ARG_SIN_PTR, %eax + movl ARG_COS_PTR, %ecx + movss %xmm7, (%eax) /* sin(+-0)==x */ + movss %xmm0, (%ecx) /* cos(+-0)==1 */ + RETURN + + .p2align 4 +L(arg_inf_or_nan): + movss ARG_X, %xmm7 /* SP x */ + /* Here if |x| is Inf or NAN */ + jne L(skip_errno_setting) /* in case of x is NaN */ + + /* Here if x is Inf. Set errno to EDOM. */ + call JUMPTARGET(__errno_location) + movl $EDOM, (%eax) + + .p2align 4 +L(skip_errno_setting): + /* Here if |x| is Inf or NAN. Continued. */ + subss %xmm7, %xmm7 /* x-x, result is NaN */ + movl ARG_SIN_PTR, %eax + movl ARG_COS_PTR, %ecx + movss %xmm7, (%eax) + movss %xmm7, (%ecx) + RETURN +END(__sincosf_sse2) + + .section .rodata, "a" + .p2align 3 +L(PIO4J): /* Table of j*Pi/4, for j=0,1,..,10 */ + .long 0x00000000,0x00000000 + .long 0x54442d18,0x3fe921fb + .long 0x54442d18,0x3ff921fb + .long 0x7f3321d2,0x4002d97c + .long 0x54442d18,0x400921fb + .long 0x2955385e,0x400f6a7a + .long 0x7f3321d2,0x4012d97c + .long 0xe9bba775,0x4015fdbb + .long 0x54442d18,0x401921fb + .long 0xbeccb2bb,0x401c463a + .long 0x2955385e,0x401f6a7a + .type L(PIO4J), @object + ASM_SIZE_DIRECTIVE(L(PIO4J)) + + .p2align 3 +L(_FPI): /* 4/Pi broken into sum of positive DP values */ + .long 0x00000000,0x00000000 + .long 0x6c000000,0x3ff45f30 + .long 0x2a000000,0x3e3c9c88 + .long 0xa8000000,0x3c54fe13 + .long 0xd0000000,0x3aaf47d4 + .long 0x6c000000,0x38fbb81b + .long 0xe0000000,0x3714acc9 + .long 0x7c000000,0x3560e410 + .long 0x56000000,0x33bca2c7 + .long 0xac000000,0x31fbd778 + .long 0xe0000000,0x300b7246 + .long 0xe8000000,0x2e5d2126 + .long 0x48000000,0x2c970032 + .long 0xe8000000,0x2ad77504 + .long 0xe0000000,0x290921cf + .long 0xb0000000,0x274deb1c + .long 0xe0000000,0x25829a73 + .long 0xbe000000,0x23fd1046 + .long 0x10000000,0x2224baed + .long 0x8e000000,0x20709d33 + .long 0x80000000,0x1e535a2f + .long 0x64000000,0x1cef904e + .long 0x30000000,0x1b0d6398 + .long 0x24000000,0x1964ce7d + .long 0x16000000,0x17b908bf + .type L(_FPI), @object + ASM_SIZE_DIRECTIVE(L(_FPI)) + +/* Coefficients of polynomials for */ +/* sin(x)~=x+x*x^2*(DP_SIN2_0+x^2*DP_SIN2_1) in low DP part, */ +/* cos(x)~=1+1*x^2*(DP_COS2_0+x^2*DP_COS2_1) in high DP part, */ +/* for |x|<2^-5. */ + .p2align 4 +L(DP_SINCOS2_0): + .long 0x5543d49d,0xbfc55555 + .long 0xff5cc6fd,0xbfdfffff + .type L(DP_SINCOS2_0), @object + ASM_SIZE_DIRECTIVE(L(DP_SINCOS2_0)) + + .p2align 4 +L(DP_SINCOS2_1): + .long 0x75cec8c5,0x3f8110f4 + .long 0xb178dac5,0x3fa55514 + .type L(DP_SINCOS2_1), @object + ASM_SIZE_DIRECTIVE(L(DP_SINCOS2_1)) + + .p2align 3 +L(DP_ZERONE): + .long 0x00000000,0x00000000 /* 0.0 */ + .long 0x00000000,0xbff00000 /* 1.0 */ + .type L(DP_ZERONE), @object + ASM_SIZE_DIRECTIVE(L(DP_ZERONE)) + + .p2align 3 +L(DP_ONES): + .long 0x00000000,0x3ff00000 /* +1.0 */ + .long 0x00000000,0xbff00000 /* -1.0 */ + .type L(DP_ONES), @object + ASM_SIZE_DIRECTIVE(L(DP_ONES)) + +/* Coefficients of polynomials for */ +/* sin(t)~=t+t*t^2*(S0+t^2*(S1+t^2*(S2+t^2*(S3+t^2*S4)))) in low DP part, */ +/* cos(t)~=1+1*t^2*(C0+t^2*(C1+t^2*(C2+t^2*(C3+t^2*C4)))) in high DP part, */ +/* for |t|<Pi/4. */ + .p2align 4 +L(DP_SC4): + .long 0x1674b58a,0xbe5a947e + .long 0xdd8844d7,0xbe923c97 + .type L(DP_SC4), @object + ASM_SIZE_DIRECTIVE(L(DP_SC4)) + + .p2align 4 +L(DP_SC3): + .long 0x64e6b5b4,0x3ec71d72 + .long 0x9ac43cc0,0x3efa00eb + .type L(DP_SC3), @object + ASM_SIZE_DIRECTIVE(L(DP_SC3)) + + .p2align 4 +L(DP_SC2): + .long 0x8b4bd1f9,0xbf2a019f + .long 0x348b6874,0xbf56c16b + .type L(DP_SC2), @object + ASM_SIZE_DIRECTIVE(L(DP_SC2)) + + .p2align 4 +L(DP_SC1): + .long 0x10c2688b,0x3f811111 + .long 0x545c50c7,0x3fa55555 + .type L(DP_SC1), @object + ASM_SIZE_DIRECTIVE(L(DP_SC1)) + + .p2align 4 +L(DP_SC0): + .long 0x55551cd9,0xbfc55555 + .long 0xfffe98ae,0xbfdfffff + .type L(DP_SC0), @object + ASM_SIZE_DIRECTIVE(L(DP_SC0)) + + .p2align 3 +L(DP_SMALL): + .long 0x00000000,0x3cd00000 /* 2^(-50) */ + .type L(DP_SMALL), @object + ASM_SIZE_DIRECTIVE(L(DP_SMALL)) + + .p2align 3 +L(DP_PIO4): + .long 0x54442d18,0x3fe921fb /* Pi/4 */ + .type L(DP_PIO4), @object + ASM_SIZE_DIRECTIVE(L(DP_PIO4)) + + .p2align 3 +L(DP_2POW52): + .long 0x00000000,0x43300000 /* +2^52 */ + .long 0x00000000,0xc3300000 /* -2^52 */ + .type L(DP_2POW52), @object + ASM_SIZE_DIRECTIVE(L(DP_2POW52)) + + .p2align 3 +L(DP_INVPIO4): + .long 0x6dc9c883,0x3ff45f30 /* 4/Pi */ + .type L(DP_INVPIO4), @object + ASM_SIZE_DIRECTIVE(L(DP_INVPIO4)) + + .p2align 3 +L(DP_PIO4HI): + .long 0x54000000,0xbfe921fb /* High part of Pi/4 */ + .type L(DP_PIO4HI), @object + ASM_SIZE_DIRECTIVE(L(DP_PIO4HI)) + + .p2align 3 +L(DP_PIO4LO): + .long 0x11A62633,0xbe010b46 /* Low part of Pi/4 */ + .type L(DP_PIO4LO), @object + ASM_SIZE_DIRECTIVE(L(DP_PIO4LO)) + + .p2align 2 +L(SP_INVPIO4): + .long 0x3fa2f983 /* 4/Pi */ + .type L(SP_INVPIO4), @object + ASM_SIZE_DIRECTIVE(L(SP_INVPIO4)) + + .p2align 4 +L(DP_ABS_MASK): /* Mask for getting DP absolute value */ + .long 0xffffffff,0x7fffffff + .long 0xffffffff,0x7fffffff + .type L(DP_ABS_MASK), @object + ASM_SIZE_DIRECTIVE(L(DP_ABS_MASK)) + + .p2align 3 +L(DP_HI_MASK): /* Mask for getting high 21 bits of DP value */ + .long 0x00000000,0xffffffff + .type L(DP_HI_MASK), @object + ASM_SIZE_DIRECTIVE(L(DP_HI_MASK)) + + .p2align 4 +L(SP_ABS_MASK): /* Mask for getting SP absolute value */ + .long 0x7fffffff,0x7fffffff + .long 0x7fffffff,0x7fffffff + .type L(SP_ABS_MASK), @object + ASM_SIZE_DIRECTIVE(L(SP_ABS_MASK)) + + .p2align 2 +L(SP_ONE): + .long 0x3f800000 /* 1.0 */ + .type L(SP_ONE), @object + ASM_SIZE_DIRECTIVE(L(SP_ONE)) + +weak_alias(__sincosf, sincosf) diff --git a/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/s_sincosf.c b/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/s_sincosf.c new file mode 100644 index 0000000000..9428f9b4ea --- /dev/null +++ b/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/s_sincosf.c @@ -0,0 +1,30 @@ +/* Multiple versions of sincosf + Copyright (C) 2012-2017 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + 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 <init-arch.h> + +extern void __sincosf_sse2 (float, float *, float *); +extern void __sincosf_ia32 (float, float *, float *); +void __sincosf (float, float *, float *); + +libm_ifunc (__sincosf, + HAS_CPU_FEATURE (SSE2) ? __sincosf_sse2 : __sincosf_ia32); +weak_alias (__sincosf, sincosf); + +#define SINCOSF __sincosf_ia32 +#include <sysdeps/ieee754/flt-32/s_sincosf.c> diff --git a/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/s_sinf-sse2.S b/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/s_sinf-sse2.S new file mode 100644 index 0000000000..ee96018061 --- /dev/null +++ b/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/s_sinf-sse2.S @@ -0,0 +1,566 @@ +/* Optimized with sse2 version of sinf + Copyright (C) 2012-2017 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + 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 <sysdep.h> +#define __need_Emath +#include <bits/errno.h> + +/* Short algorithm description: + * + * 1) if |x| == 0: return x. + * 2) if |x| < 2^-27: return x-x*DP_SMALL, raise underflow only when needed. + * 3) if |x| < 2^-5 : return x+x^3*DP_SIN2_0+x^5*DP_SIN2_1. + * 4) if |x| < Pi/4: return x+x^3*(S0+x^2*(S1+x^2*(S2+x^2*(S3+x^2*S4)))). + * 5) if |x| < 9*Pi/4: + * 5.1) Range reduction: k=trunc(|x|/(Pi/4)), j=(k+1)&0x0e, n=k+1, + * t=|x|-j*Pi/4. + * 5.2) Reconstruction: + * s = sign(x) * (-1.0)^((n>>2)&1) + * if(n&2 != 0) { + * using cos(t) polynomial for |t|<Pi/4, result is + * s * (1.0+t^2*(C0+t^2*(C1+t^2*(C2+t^2*(C3+t^2*C4))))). + * } else { + * using sin(t) polynomial for |t|<Pi/4, result is + * s * t * (1.0+t^2*(S0+t^2*(S1+t^2*(S2+t^2*(S3+t^2*S4))))). + * } + * 6) if |x| < 2^23, large args: + * 6.1) Range reduction: k=trunc(|x|/(Pi/4)), j=(k+1)&0xfffffffe, n=k+1, + * t=|x|-j*Pi/4. + * 6.2) Reconstruction same as (5.2). + * 7) if |x| >= 2^23, very large args: + * 7.1) Range reduction: k=trunc(|x|/(Pi/4)), j=(k+1)&0xfffffffe, n=k+1, + * t=|x|-j*Pi/4. + * 7.2) Reconstruction same as (5.2). + * 8) if x is Inf, return x-x, and set errno=EDOM. + * 9) if x is NaN, return x-x. + * + * Special cases: + * sin(+-0) = +-0 not raising inexact/underflow, + * sin(subnormal) raises inexact/underflow, + * sin(min_normalized) raises inexact/underflow, + * sin(normalized) raises inexact, + * sin(Inf) = NaN, raises invalid, sets errno to EDOM, + * sin(NaN) = NaN. + */ + +#ifdef PIC +# define MO1(symbol) L(symbol)##@GOTOFF(%ebx) +# define MO2(symbol,reg2,_scale) L(symbol)##@GOTOFF(%ebx,reg2,_scale) +# define CFI_PUSH(REG) cfi_adjust_cfa_offset(4); cfi_rel_offset(REG,0) +# define CFI_POP(REG) cfi_adjust_cfa_offset(-4); cfi_restore(REG) +# define PUSH(REG) pushl REG; CFI_PUSH(REG) +# define POP(REG) popl REG; CFI_POP(REG) +# define ENTRANCE PUSH(%ebx); LOAD_PIC_REG(bx) +# define RETURN POP(%ebx); ret; CFI_PUSH(%ebx) +# define ARG_X 8(%esp) +#else +# define MO1(symbol) L(symbol) +# define MO2(symbol,reg2,_scale) L(symbol)(,reg2,_scale) +# define ENTRANCE +# define RETURN ret +# define ARG_X 4(%esp) +#endif + + .text +ENTRY(__sinf_sse2) + /* Input: single precision x on stack at address ARG_X */ + + ENTRANCE + movl ARG_X, %eax /* Bits of x */ + cvtss2sd ARG_X, %xmm0 /* DP x */ + andl $0x7fffffff, %eax /* |x| */ + + cmpl $0x3f490fdb, %eax /* |x|<Pi/4? */ + jb L(arg_less_pio4) + + /* Here if |x|>=Pi/4 */ + movd %eax, %xmm3 /* SP |x| */ + andpd MO1(DP_ABS_MASK),%xmm0 /* DP |x| */ + movss MO1(SP_INVPIO4), %xmm2 /* SP 1/(Pi/4) */ + + cmpl $0x40e231d6, %eax /* |x|<9*Pi/4? */ + jae L(large_args) + + /* Here if Pi/4<=|x|<9*Pi/4 */ + mulss %xmm3, %xmm2 /* SP |x|/(Pi/4) */ + movl ARG_X, %ecx /* Load x */ + cvttss2si %xmm2, %eax /* k, number of Pi/4 in x */ + shrl $31, %ecx /* sign of x */ + addl $1, %eax /* k+1 */ + movl $0x0e, %edx + andl %eax, %edx /* j = (k+1)&0x0e */ + subsd MO2(PIO4J,%edx,8), %xmm0 /* t = |x| - j * Pi/4 */ + +L(reconstruction): + /* Input: %eax=n, %xmm0=t, %ecx=sign(x) */ + testl $2, %eax /* n&2 != 0? */ + jz L(sin_poly) + +/*L(cos_poly):*/ + /* Here if sin(x) calculated using cos(t) polynomial for |t|<Pi/4: + * y = t*t; z = y*y; + * s = sign(x) * (-1.0)^((n>>2)&1) + * result = s * (1.0+t^2*(C0+t^2*(C1+t^2*(C2+t^2*(C3+t^2*C4))))) + */ + shrl $2, %eax /* n>>2 */ + mulsd %xmm0, %xmm0 /* y=t^2 */ + andl $1, %eax /* (n>>2)&1 */ + movaps %xmm0, %xmm1 /* y */ + mulsd %xmm0, %xmm0 /* z=t^4 */ + + movsd MO1(DP_C4), %xmm4 /* C4 */ + mulsd %xmm0, %xmm4 /* z*C4 */ + xorl %eax, %ecx /* (-1.0)^((n>>2)&1) XOR sign(x) */ + movsd MO1(DP_C3), %xmm3 /* C3 */ + mulsd %xmm0, %xmm3 /* z*C3 */ + addsd MO1(DP_C2), %xmm4 /* C2+z*C4 */ + mulsd %xmm0, %xmm4 /* z*(C2+z*C4) */ + lea -8(%esp), %esp /* Borrow 4 bytes of stack frame */ + addsd MO1(DP_C1), %xmm3 /* C1+z*C3 */ + mulsd %xmm0, %xmm3 /* z*(C1+z*C3) */ + addsd MO1(DP_C0), %xmm4 /* C0+z*(C2+z*C4) */ + mulsd %xmm1, %xmm4 /* y*(C0+z*(C2+z*C4)) */ + + addsd %xmm4, %xmm3 /* y*(C0+y*(C1+y*(C2+y*(C3+y*C4)))) */ + /* 1.0+y*(C0+y*(C1+y*(C2+y*(C3+y*C4)))) */ + addsd MO1(DP_ONES), %xmm3 + + mulsd MO2(DP_ONES,%ecx,8), %xmm3 /* DP result */ + movsd %xmm3, 0(%esp) /* Move result from sse... */ + fldl 0(%esp) /* ...to FPU. */ + /* Return back 4 bytes of stack frame */ + lea 8(%esp), %esp + RETURN + + .p2align 4 +L(sin_poly): + /* Here if sin(x) calculated using sin(t) polynomial for |t|<Pi/4: + * y = t*t; z = y*y; + * s = sign(x) * (-1.0)^((n>>2)&1) + * result = s * t * (1.0+t^2*(S0+t^2*(S1+t^2*(S2+t^2*(S3+t^2*S4))))) + */ + + movaps %xmm0, %xmm4 /* t */ + shrl $2, %eax /* n>>2 */ + mulsd %xmm0, %xmm0 /* y=t^2 */ + andl $1, %eax /* (n>>2)&1 */ + movaps %xmm0, %xmm1 /* y */ + xorl %eax, %ecx /* (-1.0)^((n>>2)&1) XOR sign(x) */ + mulsd %xmm0, %xmm0 /* z=t^4 */ + + movsd MO1(DP_S4), %xmm2 /* S4 */ + mulsd %xmm0, %xmm2 /* z*S4 */ + movsd MO1(DP_S3), %xmm3 /* S3 */ + mulsd %xmm0, %xmm3 /* z*S3 */ + lea -8(%esp), %esp /* Borrow 4 bytes of stack frame */ + addsd MO1(DP_S2), %xmm2 /* S2+z*S4 */ + mulsd %xmm0, %xmm2 /* z*(S2+z*S4) */ + addsd MO1(DP_S1), %xmm3 /* S1+z*S3 */ + mulsd %xmm0, %xmm3 /* z*(S1+z*S3) */ + addsd MO1(DP_S0), %xmm2 /* S0+z*(S2+z*S4) */ + mulsd %xmm1, %xmm2 /* y*(S0+z*(S2+z*S4)) */ + /* t*s, where s = sign(x) * (-1.0)^((n>>2)&1) */ + mulsd MO2(DP_ONES,%ecx,8), %xmm4 + addsd %xmm2, %xmm3 /* y*(S0+y*(S1+y*(S2+y*(S3+y*S4)))) */ + /* t*s*y*(S0+y*(S1+y*(S2+y*(S3+y*S4)))) */ + mulsd %xmm4, %xmm3 + /* t*s*(1.0+y*(S0+y*(S1+y*(S2+y*(S3+y*S4)))) */ + addsd %xmm4, %xmm3 + movsd %xmm3, 0(%esp) /* Move result from sse... */ + fldl 0(%esp) /* ...to FPU. */ + /* Return back 4 bytes of stack frame */ + lea 8(%esp), %esp + RETURN + + .p2align 4 +L(large_args): + /* Here if |x|>=9*Pi/4 */ + cmpl $0x7f800000, %eax /* x is Inf or NaN? */ + jae L(arg_inf_or_nan) + + /* Here if finite |x|>=9*Pi/4 */ + cmpl $0x4b000000, %eax /* |x|<2^23? */ + jae L(very_large_args) + + /* Here if 9*Pi/4<=|x|<2^23 */ + movsd MO1(DP_INVPIO4), %xmm1 /* 1/(Pi/4) */ + mulsd %xmm0, %xmm1 /* |x|/(Pi/4) */ + cvttsd2si %xmm1, %eax /* k=trunc(|x|/(Pi/4)) */ + addl $1, %eax /* k+1 */ + movl %eax, %edx + andl $0xfffffffe, %edx /* j=(k+1)&0xfffffffe */ + cvtsi2sdl %edx, %xmm4 /* DP j */ + movl ARG_X, %ecx /* Load x */ + movsd MO1(DP_PIO4HI), %xmm2 /* -PIO4HI = high part of -Pi/4 */ + shrl $31, %ecx /* sign bit of x */ + mulsd %xmm4, %xmm2 /* -j*PIO4HI */ + movsd MO1(DP_PIO4LO), %xmm3 /* -PIO4LO = low part of -Pi/4 */ + addsd %xmm2, %xmm0 /* |x| - j*PIO4HI */ + mulsd %xmm3, %xmm4 /* j*PIO4LO */ + addsd %xmm4, %xmm0 /* t = |x| - j*PIO4HI - j*PIO4LO */ + jmp L(reconstruction) + + .p2align 4 +L(very_large_args): + /* Here if finite |x|>=2^23 */ + + /* bitpos = (ix>>23) - BIAS_32 + 59; */ + shrl $23, %eax /* eb = biased exponent of x */ + /* bitpos = eb - 0x7f + 59, where 0x7f is exponent bias */ + subl $68, %eax + movl $28, %ecx /* %cl=28 */ + movl %eax, %edx /* bitpos copy */ + + /* j = bitpos/28; */ + div %cl /* j in register %al=%ax/%cl */ + movapd %xmm0, %xmm3 /* |x| */ + /* clear unneeded remainder from %ah */ + andl $0xff, %eax + + imull $28, %eax, %ecx /* j*28 */ + movsd MO1(DP_HI_MASK), %xmm4 /* DP_HI_MASK */ + movapd %xmm0, %xmm5 /* |x| */ + mulsd -2*8+MO2(_FPI,%eax,8), %xmm3 /* tmp3 = FPI[j-2]*|x| */ + movapd %xmm0, %xmm1 /* |x| */ + mulsd -1*8+MO2(_FPI,%eax,8), %xmm5 /* tmp2 = FPI[j-1]*|x| */ + mulsd 0*8+MO2(_FPI,%eax,8), %xmm0 /* tmp0 = FPI[j]*|x| */ + addl $19, %ecx /* j*28+19 */ + mulsd 1*8+MO2(_FPI,%eax,8), %xmm1 /* tmp1 = FPI[j+1]*|x| */ + cmpl %ecx, %edx /* bitpos>=j*28+19? */ + jl L(very_large_skip1) + + /* Here if bitpos>=j*28+19 */ + andpd %xmm3, %xmm4 /* HI(tmp3) */ + subsd %xmm4, %xmm3 /* tmp3 = tmp3 - HI(tmp3) */ +L(very_large_skip1): + + movsd MO1(DP_2POW52), %xmm6 + movapd %xmm5, %xmm2 /* tmp2 copy */ + addsd %xmm3, %xmm5 /* tmp5 = tmp3 + tmp2 */ + movl $1, %edx + addsd %xmm5, %xmm6 /* tmp6 = tmp5 + 2^52 */ + movsd 8+MO1(DP_2POW52), %xmm4 + movd %xmm6, %eax /* k = I64_LO(tmp6); */ + addsd %xmm6, %xmm4 /* tmp4 = tmp6 - 2^52 */ + movl ARG_X, %ecx /* Load x */ + comisd %xmm5, %xmm4 /* tmp4 > tmp5? */ + jbe L(very_large_skip2) + + /* Here if tmp4 > tmp5 */ + subl $1, %eax /* k-- */ + addsd 8+MO1(DP_ONES), %xmm4 /* tmp4 -= 1.0 */ +L(very_large_skip2): + + andl %eax, %edx /* k&1 */ + subsd %xmm4, %xmm3 /* tmp3 -= tmp4 */ + addsd MO2(DP_ZERONE,%edx,8), %xmm3 /* t = DP_ZERONE[k&1] + tmp3 */ + addsd %xmm2, %xmm3 /* t += tmp2 */ + shrl $31, %ecx /* sign of x */ + addsd %xmm3, %xmm0 /* t += tmp0 */ + addl $1, %eax /* n=k+1 */ + addsd %xmm1, %xmm0 /* t += tmp1 */ + mulsd MO1(DP_PIO4), %xmm0 /* t *= PI04 */ + + jmp L(reconstruction) /* end of very_large_args peth */ + + .p2align 4 +L(arg_less_pio4): + /* Here if |x|<Pi/4 */ + cmpl $0x3d000000, %eax /* |x|<2^-5? */ + jl L(arg_less_2pn5) + + /* Here if 2^-5<=|x|<Pi/4 */ + movaps %xmm0, %xmm3 /* x */ + mulsd %xmm0, %xmm0 /* y=x^2 */ + movaps %xmm0, %xmm1 /* y */ + mulsd %xmm0, %xmm0 /* z=x^4 */ + movsd MO1(DP_S4), %xmm4 /* S4 */ + mulsd %xmm0, %xmm4 /* z*S4 */ + movsd MO1(DP_S3), %xmm5 /* S3 */ + mulsd %xmm0, %xmm5 /* z*S3 */ + addsd MO1(DP_S2), %xmm4 /* S2+z*S4 */ + mulsd %xmm0, %xmm4 /* z*(S2+z*S4) */ + addsd MO1(DP_S1), %xmm5 /* S1+z*S3 */ + mulsd %xmm0, %xmm5 /* z*(S1+z*S3) */ + addsd MO1(DP_S0), %xmm4 /* S0+z*(S2+z*S4) */ + mulsd %xmm1, %xmm4 /* y*(S0+z*(S2+z*S4)) */ + mulsd %xmm3, %xmm5 /* x*z*(S1+z*S3) */ + mulsd %xmm3, %xmm4 /* x*y*(S0+z*(S2+z*S4)) */ + /* x*y*(S0+y*(S1+y*(S2+y*(S3+y*S4)))) */ + addsd %xmm5, %xmm4 + /* x + x*y*(S0+y*(S1+y*(S2+y*(S3+y*S4)))) */ + addsd %xmm4, %xmm3 + cvtsd2ss %xmm3, %xmm3 /* SP result */ + +L(epilogue): + lea -4(%esp), %esp /* Borrow 4 bytes of stack frame */ + movss %xmm3, 0(%esp) /* Move result from sse... */ + flds 0(%esp) /* ...to FPU. */ + /* Return back 4 bytes of stack frame */ + lea 4(%esp), %esp + RETURN + + .p2align 4 +L(arg_less_2pn5): + /* Here if |x|<2^-5 */ + cmpl $0x32000000, %eax /* |x|<2^-27? */ + jl L(arg_less_2pn27) + + /* Here if 2^-27<=|x|<2^-5 */ + movaps %xmm0, %xmm1 /* DP x */ + mulsd %xmm0, %xmm0 /* DP x^2 */ + movsd MO1(DP_SIN2_1), %xmm3 /* DP DP_SIN2_1 */ + mulsd %xmm0, %xmm3 /* DP x^2*DP_SIN2_1 */ + addsd MO1(DP_SIN2_0), %xmm3 /* DP DP_SIN2_0+x^2*DP_SIN2_1 */ + mulsd %xmm0, %xmm3 /* DP x^2*DP_SIN2_0+x^4*DP_SIN2_1 */ + mulsd %xmm1, %xmm3 /* DP x^3*DP_SIN2_0+x^5*DP_SIN2_1 */ + addsd %xmm1, %xmm3 /* DP x+x^3*DP_SIN2_0+x^5*DP_SIN2_1 */ + cvtsd2ss %xmm3, %xmm3 /* SP result */ + jmp L(epilogue) + + .p2align 4 +L(arg_less_2pn27): + movss ARG_X, %xmm3 /* SP x */ + cmpl $0, %eax /* x=0? */ + je L(epilogue) /* in case x=0 return sin(+-0)==+-0 */ + /* Here if |x|<2^-27 */ + /* + * Special cases here: + * sin(subnormal) raises inexact/underflow + * sin(min_normalized) raises inexact/underflow + * sin(normalized) raises inexact + */ + movaps %xmm0, %xmm3 /* Copy of DP x */ + mulsd MO1(DP_SMALL), %xmm0 /* x*DP_SMALL */ + subsd %xmm0, %xmm3 /* Result is x-x*DP_SMALL */ + cvtsd2ss %xmm3, %xmm3 /* Result converted to SP */ + jmp L(epilogue) + + .p2align 4 +L(arg_inf_or_nan): + /* Here if |x| is Inf or NAN */ + jne L(skip_errno_setting) /* in case of x is NaN */ + + /* Here if x is Inf. Set errno to EDOM. */ + call JUMPTARGET(__errno_location) + movl $EDOM, (%eax) + + .p2align 4 +L(skip_errno_setting): + /* Here if |x| is Inf or NAN. Continued. */ + movss ARG_X, %xmm3 /* load x */ + subss %xmm3, %xmm3 /* Result is NaN */ + jmp L(epilogue) +END(__sinf_sse2) + + .section .rodata, "a" + .p2align 3 +L(PIO4J): /* Table of j*Pi/4, for j=0,1,..,10 */ + .long 0x00000000,0x00000000 + .long 0x54442d18,0x3fe921fb + .long 0x54442d18,0x3ff921fb + .long 0x7f3321d2,0x4002d97c + .long 0x54442d18,0x400921fb + .long 0x2955385e,0x400f6a7a + .long 0x7f3321d2,0x4012d97c + .long 0xe9bba775,0x4015fdbb + .long 0x54442d18,0x401921fb + .long 0xbeccb2bb,0x401c463a + .long 0x2955385e,0x401f6a7a + .type L(PIO4J), @object + ASM_SIZE_DIRECTIVE(L(PIO4J)) + + .p2align 3 +L(_FPI): /* 4/Pi broken into sum of positive DP values */ + .long 0x00000000,0x00000000 + .long 0x6c000000,0x3ff45f30 + .long 0x2a000000,0x3e3c9c88 + .long 0xa8000000,0x3c54fe13 + .long 0xd0000000,0x3aaf47d4 + .long 0x6c000000,0x38fbb81b + .long 0xe0000000,0x3714acc9 + .long 0x7c000000,0x3560e410 + .long 0x56000000,0x33bca2c7 + .long 0xac000000,0x31fbd778 + .long 0xe0000000,0x300b7246 + .long 0xe8000000,0x2e5d2126 + .long 0x48000000,0x2c970032 + .long 0xe8000000,0x2ad77504 + .long 0xe0000000,0x290921cf + .long 0xb0000000,0x274deb1c + .long 0xe0000000,0x25829a73 + .long 0xbe000000,0x23fd1046 + .long 0x10000000,0x2224baed + .long 0x8e000000,0x20709d33 + .long 0x80000000,0x1e535a2f + .long 0x64000000,0x1cef904e + .long 0x30000000,0x1b0d6398 + .long 0x24000000,0x1964ce7d + .long 0x16000000,0x17b908bf + .type L(_FPI), @object + ASM_SIZE_DIRECTIVE(L(_FPI)) + +/* Coefficients of polynomial + for sin(x)~=x+x^3*DP_SIN2_0+x^5*DP_SIN2_1, |x|<2^-5. */ + .p2align 3 +L(DP_SIN2_0): + .long 0x5543d49d,0xbfc55555 + .type L(DP_SIN2_0), @object + ASM_SIZE_DIRECTIVE(L(DP_SIN2_0)) + + .p2align 3 +L(DP_SIN2_1): + .long 0x75cec8c5,0x3f8110f4 + .type L(DP_SIN2_1), @object + ASM_SIZE_DIRECTIVE(L(DP_SIN2_1)) + + .p2align 3 +L(DP_ZERONE): + .long 0x00000000,0x00000000 /* 0.0 */ + .long 0x00000000,0xbff00000 /* 1.0 */ + .type L(DP_ZERONE), @object + ASM_SIZE_DIRECTIVE(L(DP_ZERONE)) + + .p2align 3 +L(DP_ONES): + .long 0x00000000,0x3ff00000 /* +1.0 */ + .long 0x00000000,0xbff00000 /* -1.0 */ + .type L(DP_ONES), @object + ASM_SIZE_DIRECTIVE(L(DP_ONES)) + +/* Coefficients of polynomial + for sin(t)~=t+t^3*(S0+t^2*(S1+t^2*(S2+t^2*(S3+t^2*S4)))), |t|<Pi/4. */ + .p2align 3 +L(DP_S3): + .long 0x64e6b5b4,0x3ec71d72 + .type L(DP_S3), @object + ASM_SIZE_DIRECTIVE(L(DP_S3)) + + .p2align 3 +L(DP_S1): + .long 0x10c2688b,0x3f811111 + .type L(DP_S1), @object + ASM_SIZE_DIRECTIVE(L(DP_S1)) + + .p2align 3 +L(DP_S4): + .long 0x1674b58a,0xbe5a947e + .type L(DP_S4), @object + ASM_SIZE_DIRECTIVE(L(DP_S4)) + + .p2align 3 +L(DP_S2): + .long 0x8b4bd1f9,0xbf2a019f + .type L(DP_S2), @object + ASM_SIZE_DIRECTIVE(L(DP_S2)) + + .p2align 3 +L(DP_S0): + .long 0x55551cd9,0xbfc55555 + .type L(DP_S0), @object + ASM_SIZE_DIRECTIVE(L(DP_S0)) + + .p2align 3 +L(DP_SMALL): + .long 0x00000000,0x3cd00000 /* 2^(-50) */ + .type L(DP_SMALL), @object + ASM_SIZE_DIRECTIVE(L(DP_SMALL)) + +/* Coefficients of polynomial + for cos(t)~=1.0+t^2*(C0+t^2*(C1+t^2*(C2+t^2*(C3+t^2*C4)))), |t|<Pi/4. */ + .p2align 3 +L(DP_C3): + .long 0x9ac43cc0,0x3efa00eb + .type L(DP_C3), @object + ASM_SIZE_DIRECTIVE(L(DP_C3)) + + .p2align 3 +L(DP_C1): + .long 0x545c50c7,0x3fa55555 + .type L(DP_C1), @object + ASM_SIZE_DIRECTIVE(L(DP_C1)) + + .p2align 3 +L(DP_C4): + .long 0xdd8844d7,0xbe923c97 + .type L(DP_C4), @object + ASM_SIZE_DIRECTIVE(L(DP_C4)) + + .p2align 3 +L(DP_C2): + .long 0x348b6874,0xbf56c16b + .type L(DP_C2), @object + ASM_SIZE_DIRECTIVE(L(DP_C2)) + + .p2align 3 +L(DP_C0): + .long 0xfffe98ae,0xbfdfffff + .type L(DP_C0), @object + ASM_SIZE_DIRECTIVE(L(DP_C0)) + + .p2align 3 +L(DP_PIO4): + .long 0x54442d18,0x3fe921fb /* Pi/4 */ + .type L(DP_PIO4), @object + ASM_SIZE_DIRECTIVE(L(DP_PIO4)) + + .p2align 3 +L(DP_2POW52): + .long 0x00000000,0x43300000 /* +2^52 */ + .long 0x00000000,0xc3300000 /* -2^52 */ + .type L(DP_2POW52), @object + ASM_SIZE_DIRECTIVE(L(DP_2POW52)) + + .p2align 3 +L(DP_INVPIO4): + .long 0x6dc9c883,0x3ff45f30 /* 4/Pi */ + .type L(DP_INVPIO4), @object + ASM_SIZE_DIRECTIVE(L(DP_INVPIO4)) + + .p2align 3 +L(DP_PIO4HI): + .long 0x54000000,0xbfe921fb /* High part of Pi/4 */ + .type L(DP_PIO4HI), @object + ASM_SIZE_DIRECTIVE(L(DP_PIO4HI)) + + .p2align 3 +L(DP_PIO4LO): + .long 0x11A62633,0xbe010b46 /* Low part of Pi/4 */ + .type L(DP_PIO4LO), @object + ASM_SIZE_DIRECTIVE(L(DP_PIO4LO)) + + .p2align 2 +L(SP_INVPIO4): + .long 0x3fa2f983 /* 4/Pi */ + .type L(SP_INVPIO4), @object + ASM_SIZE_DIRECTIVE(L(SP_INVPIO4)) + + .p2align 4 +L(DP_ABS_MASK): /* Mask for getting DP absolute value */ + .long 0xffffffff,0x7fffffff + .long 0xffffffff,0x7fffffff + .type L(DP_ABS_MASK), @object + ASM_SIZE_DIRECTIVE(L(DP_ABS_MASK)) + + .p2align 3 +L(DP_HI_MASK): /* Mask for getting high 21 bits of DP value */ + .long 0x00000000,0xffffffff + .type L(DP_HI_MASK), @object + ASM_SIZE_DIRECTIVE(L(DP_HI_MASK)) + +weak_alias (__sinf, sinf) diff --git a/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/s_sinf.c b/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/s_sinf.c new file mode 100644 index 0000000000..8ccdd2f34d --- /dev/null +++ b/REORG.TODO/sysdeps/i386/i686/fpu/multiarch/s_sinf.c @@ -0,0 +1,28 @@ +/* Multiple versions of sinf + Copyright (C) 2012-2017 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + 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 <init-arch.h> + +extern float __sinf_sse2 (float); +extern float __sinf_ia32 (float); +float __sinf (float); + +libm_ifunc (__sinf, HAS_CPU_FEATURE (SSE2) ? __sinf_sse2 : __sinf_ia32); +weak_alias (__sinf, sinf); +#define SINF __sinf_ia32 +#include <sysdeps/ieee754/flt-32/s_sinf.c> |