[3/5] i686: Use generic sinf implementation for SSE2 version
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Commit Message
Performance seems to be similar (gcc 11.2.1 on a Ryzen 9 5900X),
the generic algorithm shows slight better performance for
the 'workload-huge.wrf' input set.
* s_sinf-sse2.S:
"sinf": {
"": {
"duration": 3.72405e+09,
"iterations": 2.38374e+08,
"max": 63.973,
"min": 11.211,
"mean": 15.6227
},
"workload-random.wrf": {
"duration": 3.76923e+09,
"iterations": 8.4e+07,
"reciprocal-throughput": 17.6355,
"latency": 72.108,
"max-throughput": 5.67037e+07,
"min-throughput": 1.38681e+07
},
"workload-huge.wrf": {
"duration": 3.76943e+09,
"iterations": 6e+07,
"reciprocal-throughput": 29.3493,
"latency": 96.2985,
"max-throughput": 3.40724e+07,
"min-throughput": 1.03844e+07
}
}
* generic s_sinf.c:
"sinf": {
"": {
"duration": 3.70989e+09,
"iterations": 2.18025e+08,
"max": 69.782,
"min": 11.1,
"mean": 17.0159
},
"workload-random.wrf": {
"duration": 3.77213e+09,
"iterations": 9.6e+07,
"reciprocal-throughput": 17.5402,
"latency": 61.0459,
"max-throughput": 5.70119e+07,
"min-throughput": 1.63811e+07
},
"workload-huge.wrf": {
"duration": 3.81576e+09,
"iterations": 5.6e+07,
"reciprocal-throughput": 38.2111,
"latency": 98.0659,
"max-throughput": 2.61704e+07,
"min-throughput": 1.01972e+07
}
}
Checked on i686-linux-gnu.
---
sysdeps/i386/i686/fpu/multiarch/Makefile | 1 +
.../i386/i686/fpu/multiarch/libm-test-ulps | 4 +
sysdeps/i386/i686/fpu/multiarch/s_sinf-sse2.S | 565 ------------------
sysdeps/i386/i686/fpu/multiarch/s_sinf-sse2.c | 3 +
sysdeps/ieee754/flt-32/s_sinf.c | 5 +
5 files changed, 13 insertions(+), 565 deletions(-)
delete mode 100644 sysdeps/i386/i686/fpu/multiarch/s_sinf-sse2.S
create mode 100644 sysdeps/i386/i686/fpu/multiarch/s_sinf-sse2.c
Comments
On Tue, May 31, 2022 at 2:35 PM Adhemerval Zanella
<adhemerval.zanella@linaro.org> wrote:
>
> Performance seems to be similar (gcc 11.2.1 on a Ryzen 9 5900X),
> the generic algorithm shows slight better performance for
> the 'workload-huge.wrf' input set.
>
> * s_sinf-sse2.S:
> "sinf": {
> "": {
> "duration": 3.72405e+09,
> "iterations": 2.38374e+08,
> "max": 63.973,
> "min": 11.211,
> "mean": 15.6227
> },
> "workload-random.wrf": {
> "duration": 3.76923e+09,
> "iterations": 8.4e+07,
> "reciprocal-throughput": 17.6355,
> "latency": 72.108,
> "max-throughput": 5.67037e+07,
> "min-throughput": 1.38681e+07
> },
> "workload-huge.wrf": {
> "duration": 3.76943e+09,
> "iterations": 6e+07,
> "reciprocal-throughput": 29.3493,
> "latency": 96.2985,
> "max-throughput": 3.40724e+07,
> "min-throughput": 1.03844e+07
> }
> }
>
> * generic s_sinf.c:
> "sinf": {
> "": {
> "duration": 3.70989e+09,
> "iterations": 2.18025e+08,
> "max": 69.782,
> "min": 11.1,
> "mean": 17.0159
> },
> "workload-random.wrf": {
> "duration": 3.77213e+09,
> "iterations": 9.6e+07,
> "reciprocal-throughput": 17.5402,
> "latency": 61.0459,
> "max-throughput": 5.70119e+07,
> "min-throughput": 1.63811e+07
> },
> "workload-huge.wrf": {
> "duration": 3.81576e+09,
> "iterations": 5.6e+07,
> "reciprocal-throughput": 38.2111,
> "latency": 98.0659,
> "max-throughput": 2.61704e+07,
> "min-throughput": 1.01972e+07
> }
> }
>
> Checked on i686-linux-gnu.
> ---
> sysdeps/i386/i686/fpu/multiarch/Makefile | 1 +
> .../i386/i686/fpu/multiarch/libm-test-ulps | 4 +
> sysdeps/i386/i686/fpu/multiarch/s_sinf-sse2.S | 565 ------------------
> sysdeps/i386/i686/fpu/multiarch/s_sinf-sse2.c | 3 +
> sysdeps/ieee754/flt-32/s_sinf.c | 5 +
> 5 files changed, 13 insertions(+), 565 deletions(-)
> delete mode 100644 sysdeps/i386/i686/fpu/multiarch/s_sinf-sse2.S
> create mode 100644 sysdeps/i386/i686/fpu/multiarch/s_sinf-sse2.c
>
> diff --git a/sysdeps/i386/i686/fpu/multiarch/Makefile b/sysdeps/i386/i686/fpu/multiarch/Makefile
> index b8f52c311f..c2cd5cefef 100644
> --- a/sysdeps/i386/i686/fpu/multiarch/Makefile
> +++ b/sysdeps/i386/i686/fpu/multiarch/Makefile
> @@ -8,4 +8,5 @@ CFLAGS-e_log2f-sse2.c = -msse2 -mfpmath=sse
> CFLAGS-e_logf-sse2.c = -msse2 -mfpmath=sse
> CFLAGS-e_powf-sse2.c = -msse2 -mfpmath=sse
> CFLAGS-s_cosf-sse2.c = -msse2 -mfpmath=sse
> +CFLAGS-s_sinf-sse2.c = -msse2 -mfpmath=sse
> endif
> diff --git a/sysdeps/i386/i686/fpu/multiarch/libm-test-ulps b/sysdeps/i386/i686/fpu/multiarch/libm-test-ulps
> index 1bfad77adc..0357d7bd14 100644
> --- a/sysdeps/i386/i686/fpu/multiarch/libm-test-ulps
> +++ b/sysdeps/i386/i686/fpu/multiarch/libm-test-ulps
> @@ -1463,21 +1463,25 @@ ldouble: 4
>
> Function: "sin":
> double: 1
> +float: 1
> float128: 2
> ldouble: 2
>
> Function: "sin_downward":
> double: 1
> +float: 1
> float128: 3
> ldouble: 3
>
> Function: "sin_towardzero":
> double: 1
> +float: 1
> float128: 2
> ldouble: 2
>
> Function: "sin_upward":
> double: 1
> +float: 1
> float128: 3
> ldouble: 3
>
> diff --git a/sysdeps/i386/i686/fpu/multiarch/s_sinf-sse2.S b/sysdeps/i386/i686/fpu/multiarch/s_sinf-sse2.S
> deleted file mode 100644
> index c473eeb4f7..0000000000
> --- a/sysdeps/i386/i686/fpu/multiarch/s_sinf-sse2.S
> +++ /dev/null
> @@ -1,565 +0,0 @@
> -/* Optimized with sse2 version of sinf
> - Copyright (C) 2012-2022 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
> - <https://www.gnu.org/licenses/>. */
> -
> -#include <sysdep.h>
> -#include <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/sysdeps/i386/i686/fpu/multiarch/s_sinf-sse2.c b/sysdeps/i386/i686/fpu/multiarch/s_sinf-sse2.c
> new file mode 100644
> index 0000000000..e7dc0dc1a6
> --- /dev/null
> +++ b/sysdeps/i386/i686/fpu/multiarch/s_sinf-sse2.c
> @@ -0,0 +1,3 @@
> +#define SINF __sinf_sse2
> +#define SECTION __attribute__ ((section (".text.sse2")))
> +#include <sysdeps/ieee754/flt-32/s_sinf.c>
> diff --git a/sysdeps/ieee754/flt-32/s_sinf.c b/sysdeps/ieee754/flt-32/s_sinf.c
> index ad54b1c7e6..e157ff071d 100644
> --- a/sysdeps/ieee754/flt-32/s_sinf.c
> +++ b/sysdeps/ieee754/flt-32/s_sinf.c
> @@ -23,6 +23,10 @@
> #include "math_config.h"
> #include "s_sincosf.h"
>
> +#ifndef SECTION
> +# define SECTION
> +#endif
> +
> #ifndef SINF
> # define SINF_FUNC __sinf
> #else
> @@ -35,6 +39,7 @@
> arithmetic.
> */
> float
> +SECTION
> SINF_FUNC (float y)
> {
> double x = y;
> --
> 2.34.1
>
LGTM.
Reviewed-by: H.J. Lu <hjl.tools@gmail.com>
Thanks.
@@ -8,4 +8,5 @@ CFLAGS-e_log2f-sse2.c = -msse2 -mfpmath=sse
CFLAGS-e_logf-sse2.c = -msse2 -mfpmath=sse
CFLAGS-e_powf-sse2.c = -msse2 -mfpmath=sse
CFLAGS-s_cosf-sse2.c = -msse2 -mfpmath=sse
+CFLAGS-s_sinf-sse2.c = -msse2 -mfpmath=sse
endif
@@ -1463,21 +1463,25 @@ ldouble: 4
Function: "sin":
double: 1
+float: 1
float128: 2
ldouble: 2
Function: "sin_downward":
double: 1
+float: 1
float128: 3
ldouble: 3
Function: "sin_towardzero":
double: 1
+float: 1
float128: 2
ldouble: 2
Function: "sin_upward":
double: 1
+float: 1
float128: 3
ldouble: 3
deleted file mode 100644
@@ -1,565 +0,0 @@
-/* Optimized with sse2 version of sinf
- Copyright (C) 2012-2022 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
- <https://www.gnu.org/licenses/>. */
-
-#include <sysdep.h>
-#include <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)
new file mode 100644
@@ -0,0 +1,3 @@
+#define SINF __sinf_sse2
+#define SECTION __attribute__ ((section (".text.sse2")))
+#include <sysdeps/ieee754/flt-32/s_sinf.c>
@@ -23,6 +23,10 @@
#include "math_config.h"
#include "s_sincosf.h"
+#ifndef SECTION
+# define SECTION
+#endif
+
#ifndef SINF
# define SINF_FUNC __sinf
#else
@@ -35,6 +39,7 @@
arithmetic.
*/
float
+SECTION
SINF_FUNC (float y)
{
double x = y;