diff options
Diffstat (limited to 'sysdeps/i386/fpu/multiarch/s_sincosf-sse2.S')
| -rw-r--r-- | sysdeps/i386/fpu/multiarch/s_sincosf-sse2.S | 586 |
1 files changed, 586 insertions, 0 deletions
diff --git a/sysdeps/i386/fpu/multiarch/s_sincosf-sse2.S b/sysdeps/i386/fpu/multiarch/s_sincosf-sse2.S new file mode 100644 index 0000000000..f9aa221d9e --- /dev/null +++ b/sysdeps/i386/fpu/multiarch/s_sincosf-sse2.S @@ -0,0 +1,586 @@ +/* Optimized with sse2 version of sincosf + Copyright (C) 2012-2015 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) |