| /* Optimized sincosf function. |
| Copyright (C) 2012-2014 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. |
| */ |
| |
| # 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 */ |
| |
| /* Here if x is Inf. Set errno to EDOM. */ |
| call JUMPTARGET(__errno_location) |
| 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)) |
| |
| weak_alias(__sincosf, sincosf) |