diff options
| -rw-r--r-- | ChangeLog | 6 | ||||
| -rw-r--r-- | sysdeps/x86_64/fpu/multiarch/s_sincosf-sse2.S | 2 | ||||
| -rw-r--r-- | sysdeps/x86_64/fpu/multiarch/s_sincosf-sse2.c | 2 | ||||
| -rw-r--r-- | sysdeps/x86_64/fpu/s_sincosf.S | 566 |
4 files changed, 8 insertions, 568 deletions
@@ -1,5 +1,11 @@ 2018-12-26 H.J. Lu <hongjiu.lu@intel.com> + * sysdeps/x86_64/fpu/s_sincosf.S: Removed. + * sysdeps/x86_64/fpu/multiarch/s_sincosf-sse2.S: Likewise. + * sysdeps/x86_64/fpu/multiarch/s_sincosf-sse2.c: New file. + +2018-12-26 H.J. Lu <hongjiu.lu@intel.com> + * sysdeps/x86_64/fpu/libm-test-ulps: Regenerated. 2018-12-26 H.J. Lu <hongjiu.lu@intel.com> diff --git a/sysdeps/x86_64/fpu/multiarch/s_sincosf-sse2.S b/sysdeps/x86_64/fpu/multiarch/s_sincosf-sse2.S deleted file mode 100644 index 51d012b..0000000 --- a/sysdeps/x86_64/fpu/multiarch/s_sincosf-sse2.S +++ /dev/null @@ -1,2 +0,0 @@ -#define __sincosf __sincosf_sse2 -#include <sysdeps/x86_64/fpu/s_sincosf.S> diff --git a/sysdeps/x86_64/fpu/multiarch/s_sincosf-sse2.c b/sysdeps/x86_64/fpu/multiarch/s_sincosf-sse2.c new file mode 100644 index 0000000..3c6d293 --- /dev/null +++ b/sysdeps/x86_64/fpu/multiarch/s_sincosf-sse2.c @@ -0,0 +1,2 @@ +#define SINCOSF __sincosf_sse2 +#include <sysdeps/ieee754/flt-32/s_sincosf.c> diff --git a/sysdeps/x86_64/fpu/s_sincosf.S b/sysdeps/x86_64/fpu/s_sincosf.S deleted file mode 100644 index 2086e8c..0000000 --- a/sysdeps/x86_64/fpu/s_sincosf.S +++ /dev/null @@ -1,566 +0,0 @@ -/* Optimized sincosf function. - Copyright (C) 2012-2018 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> -#include <errno.h> -#include <libm-alias-float.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. - */ - -# define ARG_SIN_PTR %rdi -# define ARG_COS_PTR %rsi - - .text -ENTRY(__sincosf) - /* Input: %xmm0 contains single precision argument x */ - /* %rdi points to sin result */ - /* %rsi points to cos result */ - - movd %xmm0, %eax /* Bits of x */ - movaps %xmm0, %xmm7 /* Copy of x */ - cvtss2sd %xmm0, %xmm0 /* DP x */ - movss L(SP_ABS_MASK)(%rip), %xmm3 - movl %eax, %r8d /* Copy of x bits */ - andl $0x7fffffff, %eax /* |x| */ - - cmpl $0x3f490fdb, %eax /* |x|<Pi/4 ? */ - jb L(arg_less_pio4) - - /* Here if |x|>=Pi/4 */ - andps %xmm7, %xmm3 /* SP |x| */ - andpd L(DP_ABS_MASK)(%rip),%xmm0 /* DP |x| */ - movss L(SP_INVPIO4)(%rip), %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 %r8d, %ecx /* Load x */ - cvttss2si %xmm2, %eax /* k, number of Pi/4 in x */ - lea L(PIO4J)(%rip), %r9 - shrl $29, %ecx /* (sign of x) << 2 */ - addl $1, %eax /* k+1 */ - movl $0x0e, %edx - andl %eax, %edx /* j = (k+1)&0x0e */ - subsd (%r9,%rdx,8), %xmm0 /* t = |x| - j * Pi/4 */ - -L(reconstruction): - /* Input: %eax=n, %xmm0=t, %ecx=sign(x) */ - - movaps %xmm0, %xmm4 /* t */ - movhpd L(DP_ONES)(%rip), %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 L(DP_SC4)(%rip), %xmm2 /* S4 */ - mulpd %xmm0, %xmm2 /* z*S4 */ - movaps L(DP_SC3)(%rip), %xmm3 /* S3 */ - mulpd %xmm0, %xmm3 /* z*S3 */ - xorl %eax, %ecx /* (sign_x ^ (k>>2))<<2 */ - addpd L(DP_SC2)(%rip), %xmm2 /* S2+z*S4 */ - mulpd %xmm0, %xmm2 /* z*(S2+z*S4) */ - shrl $2, %edx /* (k+2)>>2 */ - addpd L(DP_SC1)(%rip), %xmm3 /* S1+z*S3 */ - mulpd %xmm0, %xmm3 /* z*(S1+z*S3) */ - shrl $2, %ecx /* sign_x ^ k>>2 */ - addpd L(DP_SC0)(%rip), %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)))) */ - lea L(DP_ONES)(%rip), %r9 - 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 (%r9,%rcx,8), %xmm4 /* 0|sign_sin */ - movhpd (%r9,%rdx,8), %xmm4 /* sign_cos|sign_sin */ - mulpd %xmm4, %xmm3 /* result_cos|result_sin */ - cvtpd2ps %xmm3, %xmm0 /* SP results */ - movss %xmm0, (ARG_SIN_PTR) /* store sin(x) from xmm0[0] */ - shufps $1, %xmm0, %xmm0 /* move cos(x) to xmm0[0] */ - movss %xmm0, (ARG_COS_PTR) /* store cos(x) */ - ret - - .p2align 4 -L(sin_result_sin_poly): - /* - * Here if - * sin(x) = poly_sin * sign_sin - * cos(x) = poly_cos * sign_cos - */ - movsd (%r9,%rdx,8), %xmm4 /* 0|sign_cos */ - movhpd (%r9,%rcx,8), %xmm4 /* sign_sin|sign_cos */ - mulpd %xmm4, %xmm3 /* result_sin|result_cos */ - cvtpd2ps %xmm3, %xmm0 /* SP results */ - movss %xmm0, (ARG_COS_PTR) /* store cos(x) from xmm0[0] */ - shufps $1, %xmm0, %xmm0 /* move sin(x) to xmm0[0] */ - movss %xmm0, (ARG_SIN_PTR) /* store sin(x) */ - ret - - .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 L(DP_INVPIO4)(%rip), %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 %r8d, %ecx /* Load x */ - movsd L(DP_PIO4HI)(%rip), %xmm2 /* -PIO4HI = high part of -Pi/4 */ - shrl $29, %ecx /* (sign of x) << 2 */ - mulsd %xmm4, %xmm2 /* -j*PIO4HI */ - movsd L(DP_PIO4LO)(%rip), %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 */ - lea L(_FPI)(%rip), %r9 - movsd L(DP_HI_MASK)(%rip), %xmm4 /* DP_HI_MASK */ - movapd %xmm0, %xmm5 /* |x| */ - mulsd -16(%r9,%rax,8), %xmm3 /* tmp3 = FPI[j-2]*|x| */ - movapd %xmm0, %xmm1 /* |x| */ - mulsd -8(%r9,%rax,8), %xmm5 /* tmp2 = FPI[j-1]*|x| */ - mulsd (%r9,%rax,8), %xmm0 /* tmp0 = FPI[j]*|x| */ - addl $19, %ecx /* j*28+19 */ - mulsd 8(%r9,%rax,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 L(DP_2POW52)(%rip), %xmm6 - movapd %xmm5, %xmm2 /* tmp2 copy */ - addsd %xmm3, %xmm5 /* tmp5 = tmp3 + tmp2 */ - movl $1, %edx - addsd %xmm5, %xmm6 /* tmp6 = tmp5 + 2^52 */ - movsd 8+L(DP_2POW52)(%rip), %xmm4 - movd %xmm6, %eax /* k = I64_LO(tmp6); */ - addsd %xmm6, %xmm4 /* tmp4 = tmp6 - 2^52 */ - movl %r8d, %ecx /* Load x */ - comisd %xmm5, %xmm4 /* tmp4 > tmp5 ? */ - jbe L(very_large_skip2) - - /* Here if tmp4 > tmp5 */ - subl $1, %eax /* k-- */ - addsd 8+L(DP_ONES)(%rip), %xmm4 /* tmp4 -= 1.0 */ -L(very_large_skip2): - - andl %eax, %edx /* k&1 */ - lea L(DP_ZERONE)(%rip), %r9 - subsd %xmm4, %xmm3 /* tmp3 -= tmp4 */ - addsd (%r9,%rdx,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 L(DP_PIO4)(%rip), %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 L(DP_ONES)(%rip), %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 L(DP_SC4)(%rip), %xmm4 /* S4 */ - mulpd %xmm0, %xmm4 /* z*S4 */ - movapd L(DP_SC3)(%rip), %xmm5 /* S3 */ - mulpd %xmm0, %xmm5 /* z*S3 */ - addpd L(DP_SC2)(%rip), %xmm4 /* S2+z*S4 */ - mulpd %xmm0, %xmm4 /* z*(S2+z*S4) */ - addpd L(DP_SC1)(%rip), %xmm5 /* S1+z*S3 */ - mulpd %xmm0, %xmm5 /* z*(S1+z*S3) */ - addpd L(DP_SC0)(%rip), %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))))*/ - addpd %xmm4, %xmm3 /*x+x*y*(S0+y*(S1+y*(S2+y*(S3+y*S4))*/ - cvtpd2ps %xmm3, %xmm0 /* SP results */ - movss %xmm0, (ARG_SIN_PTR) /* store sin(x) from xmm0[0] */ - shufps $1, %xmm0, %xmm0 /* move cos(x) to xmm0[0] */ - movss %xmm0, (ARG_COS_PTR) /* store cos(x) */ - ret - - .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 L(DP_ONES)(%rip), %xmm1 /* DP 1|x */ - mulsd %xmm0, %xmm0 /* DP x^2 */ - unpcklpd %xmm0, %xmm0 /* DP x^2|x^2 */ - - movaps L(DP_SINCOS2_1)(%rip), %xmm3 /* DP DP_SIN2_1 */ - mulpd %xmm0, %xmm3 /* DP x^2*DP_SIN2_1 */ - addpd L(DP_SINCOS2_0)(%rip), %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 */ - cvtpd2ps %xmm3, %xmm0 /* SP results */ - movss %xmm0, (ARG_SIN_PTR) /* store sin(x) from xmm0[0] */ - shufps $1, %xmm0, %xmm0 /* move cos(x) to xmm0[0] */ - movss %xmm0, (ARG_COS_PTR) /* store cos(x) */ - ret - - .p2align 4 -L(arg_less_2pn27): - 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 L(DP_SMALL)(%rip), %xmm0/* DP x*DP_SMALL */ - subsd %xmm0, %xmm3 /* DP sin result is x-x*DP_SMALL */ - andps L(SP_ABS_MASK)(%rip), %xmm7/* SP |x| */ - cvtsd2ss %xmm3, %xmm0 /* sin(x) */ - movss L(SP_ONE)(%rip), %xmm1 /* SP 1.0 */ - movss %xmm0, (ARG_SIN_PTR) /* sin(x) store */ - subss %xmm7, %xmm1 /* cos(x) */ - movss %xmm1, (ARG_COS_PTR) /* cos(x) store */ - ret - - .p2align 4 -L(arg_zero): - movss L(SP_ONE)(%rip), %xmm0 /* 1.0 */ - movss %xmm7, (ARG_SIN_PTR) /* sin(+-0)==x */ - movss %xmm0, (ARG_COS_PTR) /* cos(+-0)==1 */ - ret - - .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 */ - - /* Align stack to 16 bytes. */ - subq $8, %rsp - cfi_adjust_cfa_offset (8) - /* Here if x is Inf. Set errno to EDOM. */ - call JUMPTARGET(__errno_location) - addq $8, %rsp - cfi_adjust_cfa_offset (-8) - - movl $EDOM, (%rax) - - .p2align 4 -L(skip_errno_setting): - /* Here if |x| is Inf or NAN. Continued. */ - subss %xmm7, %xmm7 /* x-x, result is NaN */ - movss %xmm7, (ARG_SIN_PTR) - movss %xmm7, (ARG_COS_PTR) - ret -END(__sincosf) - - .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)) - -#ifndef __sincosf -libm_alias_float (__sincos, sincos) -#endif |