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i686: Use generic sinf implementation for SSE2 version
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.
Reviewed-by: H.J. Lu <hjl.tools@gmail.com>
This commit is contained in:
Adhemerval Zanella
parent
da39afa4ff
commit
3323476641
@ -8,4 +8,5 @@ CFLAGS-e_log2f-sse2.c = -msse2 -mfpmath=sse
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CFLAGS-e_logf-sse2.c = -msse2 -mfpmath=sse
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CFLAGS-e_logf-sse2.c = -msse2 -mfpmath=sse
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CFLAGS-e_powf-sse2.c = -msse2 -mfpmath=sse
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CFLAGS-e_powf-sse2.c = -msse2 -mfpmath=sse
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CFLAGS-s_cosf-sse2.c = -msse2 -mfpmath=sse
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CFLAGS-s_cosf-sse2.c = -msse2 -mfpmath=sse
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CFLAGS-s_sinf-sse2.c = -msse2 -mfpmath=sse
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endif
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endif
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@ -1463,21 +1463,25 @@ ldouble: 4
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Function: "sin":
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Function: "sin":
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double: 1
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double: 1
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float: 1
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float128: 2
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float128: 2
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ldouble: 2
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ldouble: 2
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Function: "sin_downward":
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Function: "sin_downward":
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double: 1
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double: 1
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float: 1
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float128: 3
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float128: 3
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ldouble: 3
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ldouble: 3
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Function: "sin_towardzero":
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Function: "sin_towardzero":
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double: 1
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double: 1
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float: 1
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float128: 2
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float128: 2
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ldouble: 2
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ldouble: 2
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Function: "sin_upward":
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Function: "sin_upward":
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double: 1
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double: 1
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float: 1
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float128: 3
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float128: 3
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ldouble: 3
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ldouble: 3
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@ -1,565 +0,0 @@
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/* Optimized with sse2 version of sinf
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Copyright (C) 2012-2022 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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License as published by the Free Software Foundation; either
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version 2.1 of the License, or (at your option) any later version.
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The GNU C Library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public
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License along with the GNU C Library; if not, see
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<https://www.gnu.org/licenses/>. */
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#include <sysdep.h>
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#include <errno.h>
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/* Short algorithm description:
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*
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* 1) if |x| == 0: return x.
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* 2) if |x| < 2^-27: return x-x*DP_SMALL, raise underflow only when needed.
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* 3) if |x| < 2^-5 : return x+x^3*DP_SIN2_0+x^5*DP_SIN2_1.
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* 4) if |x| < Pi/4: return x+x^3*(S0+x^2*(S1+x^2*(S2+x^2*(S3+x^2*S4)))).
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* 5) if |x| < 9*Pi/4:
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* 5.1) Range reduction: k=trunc(|x|/(Pi/4)), j=(k+1)&0x0e, n=k+1,
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* t=|x|-j*Pi/4.
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* 5.2) Reconstruction:
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* s = sign(x) * (-1.0)^((n>>2)&1)
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* if(n&2 != 0) {
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* using cos(t) polynomial for |t|<Pi/4, result is
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* s * (1.0+t^2*(C0+t^2*(C1+t^2*(C2+t^2*(C3+t^2*C4))))).
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* } else {
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* using sin(t) polynomial for |t|<Pi/4, result is
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* s * t * (1.0+t^2*(S0+t^2*(S1+t^2*(S2+t^2*(S3+t^2*S4))))).
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* }
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* 6) if |x| < 2^23, large args:
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* 6.1) Range reduction: k=trunc(|x|/(Pi/4)), j=(k+1)&0xfffffffe, n=k+1,
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* t=|x|-j*Pi/4.
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* 6.2) Reconstruction same as (5.2).
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* 7) if |x| >= 2^23, very large args:
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* 7.1) Range reduction: k=trunc(|x|/(Pi/4)), j=(k+1)&0xfffffffe, n=k+1,
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* t=|x|-j*Pi/4.
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* 7.2) Reconstruction same as (5.2).
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* 8) if x is Inf, return x-x, and set errno=EDOM.
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* 9) if x is NaN, return x-x.
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*
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* Special cases:
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* sin(+-0) = +-0 not raising inexact/underflow,
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* sin(subnormal) raises inexact/underflow,
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* sin(min_normalized) raises inexact/underflow,
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* sin(normalized) raises inexact,
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* sin(Inf) = NaN, raises invalid, sets errno to EDOM,
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* sin(NaN) = NaN.
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*/
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#ifdef PIC
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# define MO1(symbol) L(symbol)##@GOTOFF(%ebx)
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# define MO2(symbol,reg2,_scale) L(symbol)##@GOTOFF(%ebx,reg2,_scale)
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# define CFI_PUSH(REG) cfi_adjust_cfa_offset(4); cfi_rel_offset(REG,0)
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# define CFI_POP(REG) cfi_adjust_cfa_offset(-4); cfi_restore(REG)
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# define PUSH(REG) pushl REG; CFI_PUSH(REG)
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# define POP(REG) popl REG; CFI_POP(REG)
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# define ENTRANCE PUSH(%ebx); LOAD_PIC_REG(bx)
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# define RETURN POP(%ebx); ret; CFI_PUSH(%ebx)
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# define ARG_X 8(%esp)
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#else
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# define MO1(symbol) L(symbol)
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# define MO2(symbol,reg2,_scale) L(symbol)(,reg2,_scale)
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# define ENTRANCE
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# define RETURN ret
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# define ARG_X 4(%esp)
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#endif
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.text
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ENTRY(__sinf_sse2)
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/* Input: single precision x on stack at address ARG_X */
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ENTRANCE
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movl ARG_X, %eax /* Bits of x */
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cvtss2sd ARG_X, %xmm0 /* DP x */
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andl $0x7fffffff, %eax /* |x| */
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cmpl $0x3f490fdb, %eax /* |x|<Pi/4? */
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jb L(arg_less_pio4)
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/* Here if |x|>=Pi/4 */
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movd %eax, %xmm3 /* SP |x| */
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andpd MO1(DP_ABS_MASK),%xmm0 /* DP |x| */
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movss MO1(SP_INVPIO4), %xmm2 /* SP 1/(Pi/4) */
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cmpl $0x40e231d6, %eax /* |x|<9*Pi/4? */
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jae L(large_args)
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/* Here if Pi/4<=|x|<9*Pi/4 */
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mulss %xmm3, %xmm2 /* SP |x|/(Pi/4) */
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movl ARG_X, %ecx /* Load x */
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cvttss2si %xmm2, %eax /* k, number of Pi/4 in x */
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shrl $31, %ecx /* sign of x */
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addl $1, %eax /* k+1 */
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movl $0x0e, %edx
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andl %eax, %edx /* j = (k+1)&0x0e */
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subsd MO2(PIO4J,%edx,8), %xmm0 /* t = |x| - j * Pi/4 */
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L(reconstruction):
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/* Input: %eax=n, %xmm0=t, %ecx=sign(x) */
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testl $2, %eax /* n&2 != 0? */
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jz L(sin_poly)
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/*L(cos_poly):*/
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/* Here if sin(x) calculated using cos(t) polynomial for |t|<Pi/4:
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* y = t*t; z = y*y;
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* s = sign(x) * (-1.0)^((n>>2)&1)
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* result = s * (1.0+t^2*(C0+t^2*(C1+t^2*(C2+t^2*(C3+t^2*C4)))))
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*/
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shrl $2, %eax /* n>>2 */
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mulsd %xmm0, %xmm0 /* y=t^2 */
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andl $1, %eax /* (n>>2)&1 */
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movaps %xmm0, %xmm1 /* y */
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mulsd %xmm0, %xmm0 /* z=t^4 */
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movsd MO1(DP_C4), %xmm4 /* C4 */
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mulsd %xmm0, %xmm4 /* z*C4 */
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xorl %eax, %ecx /* (-1.0)^((n>>2)&1) XOR sign(x) */
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movsd MO1(DP_C3), %xmm3 /* C3 */
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mulsd %xmm0, %xmm3 /* z*C3 */
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addsd MO1(DP_C2), %xmm4 /* C2+z*C4 */
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mulsd %xmm0, %xmm4 /* z*(C2+z*C4) */
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lea -8(%esp), %esp /* Borrow 4 bytes of stack frame */
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addsd MO1(DP_C1), %xmm3 /* C1+z*C3 */
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mulsd %xmm0, %xmm3 /* z*(C1+z*C3) */
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addsd MO1(DP_C0), %xmm4 /* C0+z*(C2+z*C4) */
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mulsd %xmm1, %xmm4 /* y*(C0+z*(C2+z*C4)) */
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addsd %xmm4, %xmm3 /* y*(C0+y*(C1+y*(C2+y*(C3+y*C4)))) */
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/* 1.0+y*(C0+y*(C1+y*(C2+y*(C3+y*C4)))) */
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addsd MO1(DP_ONES), %xmm3
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mulsd MO2(DP_ONES,%ecx,8), %xmm3 /* DP result */
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movsd %xmm3, 0(%esp) /* Move result from sse... */
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fldl 0(%esp) /* ...to FPU. */
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/* Return back 4 bytes of stack frame */
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lea 8(%esp), %esp
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RETURN
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.p2align 4
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L(sin_poly):
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/* Here if sin(x) calculated using sin(t) polynomial for |t|<Pi/4:
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* y = t*t; z = y*y;
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* s = sign(x) * (-1.0)^((n>>2)&1)
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* result = s * t * (1.0+t^2*(S0+t^2*(S1+t^2*(S2+t^2*(S3+t^2*S4)))))
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*/
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movaps %xmm0, %xmm4 /* t */
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shrl $2, %eax /* n>>2 */
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mulsd %xmm0, %xmm0 /* y=t^2 */
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andl $1, %eax /* (n>>2)&1 */
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movaps %xmm0, %xmm1 /* y */
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xorl %eax, %ecx /* (-1.0)^((n>>2)&1) XOR sign(x) */
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mulsd %xmm0, %xmm0 /* z=t^4 */
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movsd MO1(DP_S4), %xmm2 /* S4 */
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mulsd %xmm0, %xmm2 /* z*S4 */
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movsd MO1(DP_S3), %xmm3 /* S3 */
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mulsd %xmm0, %xmm3 /* z*S3 */
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lea -8(%esp), %esp /* Borrow 4 bytes of stack frame */
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addsd MO1(DP_S2), %xmm2 /* S2+z*S4 */
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mulsd %xmm0, %xmm2 /* z*(S2+z*S4) */
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addsd MO1(DP_S1), %xmm3 /* S1+z*S3 */
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mulsd %xmm0, %xmm3 /* z*(S1+z*S3) */
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addsd MO1(DP_S0), %xmm2 /* S0+z*(S2+z*S4) */
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mulsd %xmm1, %xmm2 /* y*(S0+z*(S2+z*S4)) */
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/* t*s, where s = sign(x) * (-1.0)^((n>>2)&1) */
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mulsd MO2(DP_ONES,%ecx,8), %xmm4
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addsd %xmm2, %xmm3 /* y*(S0+y*(S1+y*(S2+y*(S3+y*S4)))) */
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/* t*s*y*(S0+y*(S1+y*(S2+y*(S3+y*S4)))) */
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mulsd %xmm4, %xmm3
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/* t*s*(1.0+y*(S0+y*(S1+y*(S2+y*(S3+y*S4)))) */
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addsd %xmm4, %xmm3
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movsd %xmm3, 0(%esp) /* Move result from sse... */
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fldl 0(%esp) /* ...to FPU. */
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/* Return back 4 bytes of stack frame */
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lea 8(%esp), %esp
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RETURN
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.p2align 4
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L(large_args):
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/* Here if |x|>=9*Pi/4 */
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cmpl $0x7f800000, %eax /* x is Inf or NaN? */
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jae L(arg_inf_or_nan)
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/* Here if finite |x|>=9*Pi/4 */
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cmpl $0x4b000000, %eax /* |x|<2^23? */
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jae L(very_large_args)
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/* Here if 9*Pi/4<=|x|<2^23 */
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movsd MO1(DP_INVPIO4), %xmm1 /* 1/(Pi/4) */
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mulsd %xmm0, %xmm1 /* |x|/(Pi/4) */
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cvttsd2si %xmm1, %eax /* k=trunc(|x|/(Pi/4)) */
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addl $1, %eax /* k+1 */
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movl %eax, %edx
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andl $0xfffffffe, %edx /* j=(k+1)&0xfffffffe */
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cvtsi2sdl %edx, %xmm4 /* DP j */
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movl ARG_X, %ecx /* Load x */
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movsd MO1(DP_PIO4HI), %xmm2 /* -PIO4HI = high part of -Pi/4 */
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shrl $31, %ecx /* sign bit of x */
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mulsd %xmm4, %xmm2 /* -j*PIO4HI */
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movsd MO1(DP_PIO4LO), %xmm3 /* -PIO4LO = low part of -Pi/4 */
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addsd %xmm2, %xmm0 /* |x| - j*PIO4HI */
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mulsd %xmm3, %xmm4 /* j*PIO4LO */
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addsd %xmm4, %xmm0 /* t = |x| - j*PIO4HI - j*PIO4LO */
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jmp L(reconstruction)
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.p2align 4
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L(very_large_args):
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/* Here if finite |x|>=2^23 */
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/* bitpos = (ix>>23) - BIAS_32 + 59; */
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shrl $23, %eax /* eb = biased exponent of x */
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/* bitpos = eb - 0x7f + 59, where 0x7f is exponent bias */
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subl $68, %eax
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movl $28, %ecx /* %cl=28 */
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movl %eax, %edx /* bitpos copy */
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/* j = bitpos/28; */
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div %cl /* j in register %al=%ax/%cl */
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movapd %xmm0, %xmm3 /* |x| */
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/* clear unneeded remainder from %ah */
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andl $0xff, %eax
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imull $28, %eax, %ecx /* j*28 */
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movsd MO1(DP_HI_MASK), %xmm4 /* DP_HI_MASK */
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movapd %xmm0, %xmm5 /* |x| */
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mulsd -2*8+MO2(_FPI,%eax,8), %xmm3 /* tmp3 = FPI[j-2]*|x| */
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movapd %xmm0, %xmm1 /* |x| */
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mulsd -1*8+MO2(_FPI,%eax,8), %xmm5 /* tmp2 = FPI[j-1]*|x| */
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|
||||||
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)
|
|
||||||
3
sysdeps/i386/i686/fpu/multiarch/s_sinf-sse2.c
Normal file
3
sysdeps/i386/i686/fpu/multiarch/s_sinf-sse2.c
Normal file
@ -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 "math_config.h"
|
||||||
#include "s_sincosf.h"
|
#include "s_sincosf.h"
|
||||||
|
|
||||||
|
#ifndef SECTION
|
||||||
|
# define SECTION
|
||||||
|
#endif
|
||||||
|
|
||||||
#ifndef SINF
|
#ifndef SINF
|
||||||
# define SINF_FUNC __sinf
|
# define SINF_FUNC __sinf
|
||||||
#else
|
#else
|
||||||
@ -35,6 +39,7 @@
|
|||||||
arithmetic.
|
arithmetic.
|
||||||
*/
|
*/
|
||||||
float
|
float
|
||||||
|
SECTION
|
||||||
SINF_FUNC (float y)
|
SINF_FUNC (float y)
|
||||||
{
|
{
|
||||||
double x = y;
|
double x = y;
|
||||||
|
|||||||
Loading…
Reference in New Issue
Block a user