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[PATCH 3/3] x86-64: Remove s_sincosf-sse2.S


The current s_sincosf.c is faster than s_sincosf-sse2.S.  On Broadwell
with FMA disabled, bench-sincosf shows:

       Before         After      Improvement
max    154.032        114.517        34%
min    6.25           5.609          11%
mean   14.8728        12.8589        15%

	* sysdeps/x86_64/fpu/s_sincosf.S: Removed.
	* sysdeps/x86_64/fpu/multiarch/s_sincosf-sse2.S: Likewise.
	* sysdeps/x86_64/fpu/multiarch/s_sincosf-sse2.c: New file.
---
 sysdeps/x86_64/fpu/multiarch/s_sincosf-sse2.S |   2 -
 sysdeps/x86_64/fpu/multiarch/s_sincosf-sse2.c |   2 +
 sysdeps/x86_64/fpu/s_sincosf.S                | 566 ------------------
 3 files changed, 2 insertions(+), 568 deletions(-)
 delete mode 100644 sysdeps/x86_64/fpu/multiarch/s_sincosf-sse2.S
 create mode 100644 sysdeps/x86_64/fpu/multiarch/s_sincosf-sse2.c
 delete mode 100644 sysdeps/x86_64/fpu/s_sincosf.S

diff --git a/sysdeps/x86_64/fpu/multiarch/s_sincosf-sse2.S b/sysdeps/x86_64/fpu/multiarch/s_sincosf-sse2.S
deleted file mode 100644
index 51d012bb12..0000000000
--- a/sysdeps/x86_64/fpu/multiarch/s_sincosf-sse2.S
+++ /dev/null
@@ -1,2 +0,0 @@
-#define __sincosf __sincosf_sse2
-#include <sysdeps/x86_64/fpu/s_sincosf.S>
diff --git a/sysdeps/x86_64/fpu/multiarch/s_sincosf-sse2.c b/sysdeps/x86_64/fpu/multiarch/s_sincosf-sse2.c
new file mode 100644
index 0000000000..3c6d293803
--- /dev/null
+++ b/sysdeps/x86_64/fpu/multiarch/s_sincosf-sse2.c
@@ -0,0 +1,2 @@
+#define SINCOSF __sincosf_sse2
+#include <sysdeps/ieee754/flt-32/s_sincosf.c>
diff --git a/sysdeps/x86_64/fpu/s_sincosf.S b/sysdeps/x86_64/fpu/s_sincosf.S
deleted file mode 100644
index 2086e8ca5c..0000000000
--- a/sysdeps/x86_64/fpu/s_sincosf.S
+++ /dev/null
@@ -1,566 +0,0 @@
-/* Optimized sincosf function.
-   Copyright (C) 2012-2018 Free Software Foundation, Inc.
-   This file is part of the GNU C Library.
-
-   The GNU C Library is free software; you can redistribute it and/or
-   modify it under the terms of the GNU Lesser General Public
-   License as published by the Free Software Foundation; either
-   version 2.1 of the License, or (at your option) any later version.
-
-   The GNU C Library is distributed in the hope that it will be useful,
-   but WITHOUT ANY WARRANTY; without even the implied warranty of
-   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
-   Lesser General Public License for more details.
-
-   You should have received a copy of the GNU Lesser General Public
-   License along with the GNU C Library; if not, see
-   <http://www.gnu.org/licenses/>.  */
-
-#include <sysdep.h>
-#include <errno.h>
-#include <libm-alias-float.h>
-
-/* Short algorithm description:
- *
- *  1) if |x|==0:    sin(x)=x,
- *                   cos(x)=1.
- *  2) if |x|<2^-27: sin(x)=x-x*DP_SMALL, raising underflow only when needed,
- *                   cos(x)=1-|x|.
- *  3) if |x|<2^-5 : sin(x)=x+x*x^2*DP_SIN2_0+x^5*DP_SIN2_1,
- *                   cos(x)=1+1*x^2*DP_COS2_0+x^5*DP_COS2_1
- *  4) if |x|< Pi/4: sin(x)=x+x*x^2*(S0+x^2*(S1+x^2*(S2+x^2*(S3+x^2*S4)))),
- *                   cos(x)=1+1*x^2*(C0+x^2*(C1+x^2*(C2+x^2*(C3+x^2*C4)))).
- *  5) if |x| < 9*Pi/4:
- *      5.1) Range reduction:
- *          k=trunc(|x|/(Pi/4)), j=(k+1)&0x0e, n=k+1, t=|x|-j*Pi/4.
- *      5.2) Reconstruction:
- *          sign_sin = sign(x) * (-1.0)^(( n   >>2)&1)
- *          sign_cos =           (-1.0)^(((n+2)>>2)&1)
- *          poly_sin = ((((S4*t^2 + S3)*t^2 + S2)*t^2 + S1)*t^2 + S0)*t^2*t+t
- *          poly_cos = ((((C4*t^2 + C3)*t^2 + C2)*t^2 + C1)*t^2 + C0)*t^2*s+s
- *          if(n&2 != 0) {
- *              using cos(t) and sin(t) polynomials for |t|<Pi/4, results are
- *              cos(x) = poly_sin * sign_cos
- *              sin(x) = poly_cos * sign_sin
- *          } else {
- *              sin(x) = poly_sin * sign_sin
- *              cos(x) = poly_cos * sign_cos
- *          }
- *  6) if |x| < 2^23, large args:
- *      6.1) Range reduction:
- *          k=trunc(|x|/(Pi/4)), j=(k+1)&0xfffffffe, n=k+1, t=|x|-j*Pi/4
- *      6.2) Reconstruction same as (5.2).
- *  7) if |x| >= 2^23, very large args:
- *      7.1) Range reduction:
- *          k=trunc(|x|/(Pi/4)), j=(k+1)&0xfffffffe, n=k+1, t=|x|-j*Pi/4.
- *      7.2) Reconstruction same as (5.2).
- *  8) if x is Inf, return x-x, and set errno=EDOM.
- *  9) if x is NaN, return x-x.
- *
- * Special cases:
- *  sin/cos(+-0) = +-0/1 not raising inexact/underflow,
- *  sin/cos(subnormal) raises inexact/underflow,
- *  sin/cos(min_normalized) raises inexact/underflow,
- *  sin/cos(normalized) raises inexact,
- *  sin/cos(Inf) = NaN, raises invalid, sets errno to EDOM,
- *  sin/cos(NaN) = NaN.
- */
-
-# define ARG_SIN_PTR	%rdi
-# define ARG_COS_PTR	%rsi
-
-	.text
-ENTRY(__sincosf)
-	/* Input: %xmm0 contains single precision argument x */
-	/*        %rdi points to sin result */
-	/*        %rsi points to cos result */
-
-	movd	%xmm0, %eax		/* Bits of x */
-	movaps	%xmm0, %xmm7		/* Copy of x */
-	cvtss2sd %xmm0, %xmm0		/* DP x */
-	movss	L(SP_ABS_MASK)(%rip), %xmm3
-	movl	%eax, %r8d		/* Copy of x bits */
-	andl	$0x7fffffff, %eax	/* |x| */
-
-	cmpl	$0x3f490fdb, %eax	/* |x|<Pi/4 ? */
-	jb	L(arg_less_pio4)
-
-	/* Here if |x|>=Pi/4 */
-	andps	%xmm7, %xmm3		/* SP |x| */
-	andpd	L(DP_ABS_MASK)(%rip),%xmm0 /* DP |x| */
-	movss	L(SP_INVPIO4)(%rip), %xmm2 /* SP 1/(Pi/4) */
-
-	cmpl	$0x40e231d6, %eax	/* |x|<9*Pi/4 ? */
-	jae	L(large_args)
-
-	/* Here if Pi/4<=|x|<9*Pi/4 */
-	mulss	%xmm3, %xmm2		/* SP |x|/(Pi/4) */
-	movl	%r8d, %ecx		/* Load x */
-	cvttss2si %xmm2, %eax		/* k, number of Pi/4 in x */
-	lea	L(PIO4J)(%rip), %r9
-	shrl	$29, %ecx		/* (sign of x) << 2 */
-	addl	$1, %eax		/* k+1 */
-	movl	$0x0e, %edx
-	andl	%eax, %edx		/* j = (k+1)&0x0e */
-	subsd	(%r9,%rdx,8), %xmm0	/* t = |x| - j * Pi/4 */
-
-L(reconstruction):
-	/* Input: %eax=n, %xmm0=t, %ecx=sign(x) */
-
-	movaps	%xmm0, %xmm4		/* t */
-	movhpd	L(DP_ONES)(%rip), %xmm4 /* 1|t */
-	mulsd	%xmm0, %xmm0		/* y=t^2 */
-	movl	$2, %edx
-	unpcklpd %xmm0, %xmm0		/* y|y */
-	addl	%eax, %edx		/* k+2 */
-	movaps	%xmm0, %xmm1		/* y|y */
-	mulpd	%xmm0, %xmm0		/* z=t^4|z=t^4 */
-
-	movaps	L(DP_SC4)(%rip), %xmm2	/* S4 */
-	mulpd	%xmm0, %xmm2		/* z*S4 */
-	movaps	L(DP_SC3)(%rip), %xmm3	/* S3 */
-	mulpd	%xmm0, %xmm3		/* z*S3 */
-	xorl	%eax, %ecx		/* (sign_x ^ (k>>2))<<2 */
-	addpd	L(DP_SC2)(%rip), %xmm2	/* S2+z*S4 */
-	mulpd	%xmm0, %xmm2		/* z*(S2+z*S4) */
-	shrl	$2, %edx		/* (k+2)>>2 */
-	addpd	L(DP_SC1)(%rip), %xmm3	/* S1+z*S3 */
-	mulpd	%xmm0, %xmm3		/* z*(S1+z*S3) */
-	shrl	$2, %ecx		/* sign_x ^ k>>2 */
-	addpd	L(DP_SC0)(%rip), %xmm2	/* S0+z*(S2+z*S4) */
-	andl	$1, %edx		/* sign_cos = ((k+2)>>2)&1 */
-	mulpd	%xmm1, %xmm2		/* y*(S0+z*(S2+z*S4)) */
-	andl	$1, %ecx		/* sign_sin = sign_x ^ ((k>>2)&1) */
-	addpd	%xmm2, %xmm3		/* y*(S0+y*(S1+y*(S2+y*(S3+y*S4)))) */
-	lea	L(DP_ONES)(%rip), %r9
-	mulpd	%xmm4, %xmm3		/*t*y*(S0+y*(S1+y*(S2+y*(S3+y*S4))))*/
-	testl	$2, %eax		/* n&2 != 0 ? */
-	addpd	%xmm4, %xmm3		/*t+t*y*(S0+y*(S1+y*(S2+y*(S3+y*S4))*/
-	jnz	L(sin_result_sin_poly)
-
-/*L(sin_result_cos_poly):*/
-	/*
-	 * Here if
-	 * cos(x) = poly_sin * sign_cos
-	 * sin(x) = poly_cos * sign_sin
-	 */
-	movsd	(%r9,%rcx,8), %xmm4	/* 0|sign_sin */
-	movhpd	(%r9,%rdx,8), %xmm4	/* sign_cos|sign_sin */
-	mulpd	%xmm4, %xmm3		/* result_cos|result_sin */
-	cvtpd2ps %xmm3, %xmm0		/* SP results */
-	movss	%xmm0, (ARG_SIN_PTR)	/* store sin(x) from xmm0[0] */
-	shufps	$1, %xmm0, %xmm0	/* move cos(x) to xmm0[0] */
-	movss	%xmm0, (ARG_COS_PTR)	/* store cos(x) */
-	ret
-
-	.p2align	4
-L(sin_result_sin_poly):
-	/*
-	 * Here if
-	 * sin(x) = poly_sin * sign_sin
-	 * cos(x) = poly_cos * sign_cos
-	 */
-	movsd	(%r9,%rdx,8), %xmm4	/* 0|sign_cos */
-	movhpd	(%r9,%rcx,8), %xmm4	/* sign_sin|sign_cos */
-	mulpd	%xmm4, %xmm3		/* result_sin|result_cos */
-	cvtpd2ps %xmm3, %xmm0		/* SP results */
-	movss	%xmm0, (ARG_COS_PTR)	/* store cos(x) from xmm0[0] */
-	shufps	$1, %xmm0, %xmm0	/* move sin(x) to xmm0[0] */
-	movss	%xmm0, (ARG_SIN_PTR)	/* store sin(x) */
-	ret
-
-	.p2align	4
-L(large_args):
-	/* Here if |x|>=9*Pi/4 */
-	cmpl	$0x7f800000, %eax	/* x is Inf or NaN ? */
-	jae	L(arg_inf_or_nan)
-
-	/* Here if finite |x|>=9*Pi/4 */
-	cmpl	$0x4b000000, %eax	/* |x|<2^23 ? */
-	jae	L(very_large_args)
-
-	/* Here if 9*Pi/4<=|x|<2^23 */
-	movsd	L(DP_INVPIO4)(%rip), %xmm1 /* 1/(Pi/4) */
-	mulsd	%xmm0, %xmm1		/* |x|/(Pi/4) */
-	cvttsd2si %xmm1, %eax		/* k=trunc(|x|/(Pi/4)) */
-	addl	$1, %eax		/* k+1 */
-	movl	%eax, %edx
-	andl	$0xfffffffe, %edx	/* j=(k+1)&0xfffffffe */
-	cvtsi2sdl %edx, %xmm4		/* DP j */
-	movl	%r8d, %ecx		/* Load x */
-	movsd	L(DP_PIO4HI)(%rip), %xmm2 /* -PIO4HI = high part of -Pi/4 */
-	shrl	$29, %ecx		/* (sign of x) << 2 */
-	mulsd	%xmm4, %xmm2		/* -j*PIO4HI */
-	movsd	L(DP_PIO4LO)(%rip), %xmm3 /* -PIO4LO = low part of -Pi/4 */
-	addsd	%xmm2, %xmm0		/* |x| - j*PIO4HI */
-	mulsd	%xmm3, %xmm4		/* j*PIO4LO */
-	addsd	%xmm4, %xmm0		/* t = |x| - j*PIO4HI - j*PIO4LO */
-	jmp	L(reconstruction)
-
-	.p2align	4
-L(very_large_args):
-	/* Here if finite |x|>=2^23 */
-
-	/* bitpos = (ix>>23) - BIAS_32 + 59; */
-	shrl	$23, %eax		/* eb = biased exponent of x */
-	subl	$68, %eax		/* bitpos=eb-0x7f+59, where 0x7f */
-							/*is exponent bias */
-	movl	$28, %ecx		/* %cl=28 */
-	movl	%eax, %edx		/* bitpos copy */
-
-	/* j = bitpos/28; */
-	div	%cl			/* j in register %al=%ax/%cl */
-	movapd	%xmm0, %xmm3		/* |x| */
-	andl	$0xff, %eax		/* clear unneeded remainder from %ah*/
-
-	imull	$28, %eax, %ecx		/* j*28 */
-	lea	L(_FPI)(%rip), %r9
-	movsd	L(DP_HI_MASK)(%rip), %xmm4 /* DP_HI_MASK */
-	movapd	%xmm0, %xmm5		/* |x| */
-	mulsd	-16(%r9,%rax,8), %xmm3	/* tmp3 = FPI[j-2]*|x| */
-	movapd	%xmm0, %xmm1		/* |x| */
-	mulsd	-8(%r9,%rax,8), %xmm5	/* tmp2 = FPI[j-1]*|x| */
-	mulsd	(%r9,%rax,8), %xmm0	/* tmp0 = FPI[j]*|x| */
-	addl	$19, %ecx		/* j*28+19 */
-	mulsd	8(%r9,%rax,8), %xmm1	/* tmp1 = FPI[j+1]*|x| */
-	cmpl	%ecx, %edx		/* bitpos>=j*28+19 ? */
-	jl	L(very_large_skip1)
-
-	/* Here if bitpos>=j*28+19 */
-	andpd	%xmm3, %xmm4		/* HI(tmp3) */
-	subsd	%xmm4, %xmm3		/* tmp3 = tmp3 - HI(tmp3) */
-L(very_large_skip1):
-
-	movsd	L(DP_2POW52)(%rip), %xmm6
-	movapd	%xmm5, %xmm2		/* tmp2 copy */
-	addsd	%xmm3, %xmm5		/* tmp5 = tmp3 + tmp2 */
-	movl	$1, %edx
-	addsd	%xmm5, %xmm6		/* tmp6 = tmp5 + 2^52 */
-	movsd	8+L(DP_2POW52)(%rip), %xmm4
-	movd	%xmm6, %eax		/* k = I64_LO(tmp6); */
-	addsd	%xmm6, %xmm4		/* tmp4 = tmp6 - 2^52 */
-	movl	%r8d, %ecx		/* Load x */
-	comisd	%xmm5, %xmm4		/* tmp4 > tmp5 ? */
-	jbe	L(very_large_skip2)
-
-	/* Here if tmp4 > tmp5 */
-	subl	$1, %eax		/* k-- */
-	addsd	8+L(DP_ONES)(%rip), %xmm4 /* tmp4 -= 1.0 */
-L(very_large_skip2):
-
-	andl	%eax, %edx		/* k&1 */
-	lea	L(DP_ZERONE)(%rip), %r9
-	subsd	%xmm4, %xmm3		/* tmp3 -= tmp4 */
-	addsd	(%r9,%rdx,8), %xmm3	/* t  = DP_ZERONE[k&1] + tmp3 */
-	addsd	%xmm2, %xmm3		/* t += tmp2 */
-	shrl	$29, %ecx		/* (sign of x) << 2 */
-	addsd	%xmm3, %xmm0		/* t += tmp0 */
-	addl	$1, %eax		/* n=k+1 */
-	addsd	%xmm1, %xmm0		/* t += tmp1 */
-	mulsd	L(DP_PIO4)(%rip), %xmm0	/* t *= PI04 */
-
-	jmp	L(reconstruction)	/* end of very_large_args peth */
-
-	.p2align	4
-L(arg_less_pio4):
-	/* Here if |x|<Pi/4 */
-	cmpl	$0x3d000000, %eax	/* |x|<2^-5 ? */
-	jl	L(arg_less_2pn5)
-
-	/* Here if 2^-5<=|x|<Pi/4 */
-	movaps	%xmm0, %xmm3		/* DP x */
-	movhpd	L(DP_ONES)(%rip), %xmm3 /* DP 1|x */
-	mulsd	%xmm0, %xmm0		/* DP y=x^2 */
-	unpcklpd %xmm0, %xmm0		/* DP y|y */
-	movaps	%xmm0, %xmm1		/* y|y */
-	mulpd	%xmm0, %xmm0		/* z=x^4|z=x^4 */
-
-	movapd	L(DP_SC4)(%rip), %xmm4	/* S4 */
-	mulpd	%xmm0, %xmm4		/* z*S4 */
-	movapd	L(DP_SC3)(%rip), %xmm5	/* S3 */
-	mulpd	%xmm0, %xmm5		/* z*S3 */
-	addpd	L(DP_SC2)(%rip), %xmm4	/* S2+z*S4 */
-	mulpd	%xmm0, %xmm4		/* z*(S2+z*S4) */
-	addpd	L(DP_SC1)(%rip), %xmm5	/* S1+z*S3 */
-	mulpd	%xmm0, %xmm5		/* z*(S1+z*S3) */
-	addpd	L(DP_SC0)(%rip), %xmm4	/* S0+z*(S2+z*S4) */
-	mulpd	%xmm1, %xmm4		/* y*(S0+z*(S2+z*S4)) */
-	mulpd	%xmm3, %xmm5		/* x*z*(S1+z*S3) */
-	mulpd	%xmm3, %xmm4		/* x*y*(S0+z*(S2+z*S4)) */
-	addpd	%xmm5, %xmm4		/*x*y*(S0+y*(S1+y*(S2+y*(S3+y*S4))))*/
-	addpd	%xmm4, %xmm3		/*x+x*y*(S0+y*(S1+y*(S2+y*(S3+y*S4))*/
-	cvtpd2ps %xmm3, %xmm0		/* SP results */
-	movss	%xmm0, (ARG_SIN_PTR)	/* store sin(x) from xmm0[0] */
-	shufps	$1, %xmm0, %xmm0	/* move cos(x) to xmm0[0] */
-	movss	%xmm0, (ARG_COS_PTR)	/* store cos(x) */
-	ret
-
-	.p2align	4
-L(arg_less_2pn5):
-	/* Here if |x|<2^-5 */
-	cmpl	$0x32000000, %eax	/* |x|<2^-27 ? */
-	jl	L(arg_less_2pn27)
-
-	/* Here if 2^-27<=|x|<2^-5 */
-	movaps	%xmm0, %xmm1		/* DP x */
-	movhpd	L(DP_ONES)(%rip), %xmm1 /* DP 1|x */
-	mulsd	%xmm0, %xmm0		/* DP x^2 */
-	unpcklpd %xmm0, %xmm0		/* DP x^2|x^2 */
-
-	movaps	L(DP_SINCOS2_1)(%rip), %xmm3 /* DP DP_SIN2_1 */
-	mulpd	%xmm0, %xmm3		/* DP x^2*DP_SIN2_1 */
-	addpd	L(DP_SINCOS2_0)(%rip), %xmm3 /* DP DP_SIN2_0+x^2*DP_SIN2_1 */
-	mulpd	%xmm0, %xmm3		/* DP x^2*DP_SIN2_0+x^4*DP_SIN2_1 */
-	mulpd	%xmm1, %xmm3		/* DP x^3*DP_SIN2_0+x^5*DP_SIN2_1 */
-	addpd	%xmm1, %xmm3		/* DP x+x^3*DP_SIN2_0+x^5*DP_SIN2_1 */
-	cvtpd2ps %xmm3, %xmm0		/* SP results */
-	movss	%xmm0, (ARG_SIN_PTR)	/* store sin(x) from xmm0[0] */
-	shufps	$1, %xmm0, %xmm0	/* move cos(x) to xmm0[0] */
-	movss	%xmm0, (ARG_COS_PTR)	/* store cos(x) */
-	ret
-
-	.p2align	4
-L(arg_less_2pn27):
-	cmpl	$0, %eax		/* x=0 ? */
-	je	L(arg_zero)		/* in case x=0 return sin(+-0)==+-0 */
-	/* Here if |x|<2^-27 */
-	/*
-	 * Special cases here:
-	 *  sin(subnormal) raises inexact/underflow
-	 *  sin(min_normalized) raises inexact/underflow
-	 *  sin(normalized) raises inexact
-	 *  cos(here)=1-|x| (raising inexact)
-	 */
-	movaps	%xmm0, %xmm3		/* DP x */
-	mulsd	L(DP_SMALL)(%rip), %xmm0/* DP x*DP_SMALL */
-	subsd	%xmm0, %xmm3		/* DP sin result is x-x*DP_SMALL */
-	andps	L(SP_ABS_MASK)(%rip), %xmm7/* SP |x| */
-	cvtsd2ss %xmm3, %xmm0		/* sin(x) */
-	movss	L(SP_ONE)(%rip), %xmm1	/* SP 1.0 */
-	movss	%xmm0, (ARG_SIN_PTR)	/* sin(x) store */
-	subss	%xmm7, %xmm1		/* cos(x) */
-	movss	%xmm1, (ARG_COS_PTR)	/* cos(x) store */
-	ret
-
-	.p2align	4
-L(arg_zero):
-	movss	L(SP_ONE)(%rip), %xmm0	/* 1.0 */
-	movss	%xmm7, (ARG_SIN_PTR)	/* sin(+-0)==x */
-	movss	%xmm0, (ARG_COS_PTR)	/* cos(+-0)==1 */
-	ret
-
-	.p2align	4
-L(arg_inf_or_nan):
-	/* Here if |x| is Inf or NAN */
-	jne	L(skip_errno_setting)	/* in case of x is NaN */
-
-	/* Align stack to 16 bytes.  */
-	subq	$8, %rsp
-	cfi_adjust_cfa_offset (8)
-	/* Here if x is Inf. Set errno to EDOM.  */
-	call	JUMPTARGET(__errno_location)
-	addq	$8, %rsp
-	cfi_adjust_cfa_offset (-8)
-
-	movl	$EDOM, (%rax)
-
-	.p2align	4
-L(skip_errno_setting):
-	/* Here if |x| is Inf or NAN. Continued. */
-	subss	%xmm7, %xmm7		/* x-x, result is NaN */
-	movss	%xmm7, (ARG_SIN_PTR)
-	movss	%xmm7, (ARG_COS_PTR)
-	ret
-END(__sincosf)
-
-	.section .rodata, "a"
-	.p2align 3
-L(PIO4J): /* Table of j*Pi/4, for j=0,1,..,10 */
-	.long	0x00000000,0x00000000
-	.long	0x54442d18,0x3fe921fb
-	.long	0x54442d18,0x3ff921fb
-	.long	0x7f3321d2,0x4002d97c
-	.long	0x54442d18,0x400921fb
-	.long	0x2955385e,0x400f6a7a
-	.long	0x7f3321d2,0x4012d97c
-	.long	0xe9bba775,0x4015fdbb
-	.long	0x54442d18,0x401921fb
-	.long	0xbeccb2bb,0x401c463a
-	.long	0x2955385e,0x401f6a7a
-	.type L(PIO4J), @object
-	ASM_SIZE_DIRECTIVE(L(PIO4J))
-
-	.p2align 3
-L(_FPI): /* 4/Pi broken into sum of positive DP values */
-	.long	0x00000000,0x00000000
-	.long	0x6c000000,0x3ff45f30
-	.long	0x2a000000,0x3e3c9c88
-	.long	0xa8000000,0x3c54fe13
-	.long	0xd0000000,0x3aaf47d4
-	.long	0x6c000000,0x38fbb81b
-	.long	0xe0000000,0x3714acc9
-	.long	0x7c000000,0x3560e410
-	.long	0x56000000,0x33bca2c7
-	.long	0xac000000,0x31fbd778
-	.long	0xe0000000,0x300b7246
-	.long	0xe8000000,0x2e5d2126
-	.long	0x48000000,0x2c970032
-	.long	0xe8000000,0x2ad77504
-	.long	0xe0000000,0x290921cf
-	.long	0xb0000000,0x274deb1c
-	.long	0xe0000000,0x25829a73
-	.long	0xbe000000,0x23fd1046
-	.long	0x10000000,0x2224baed
-	.long	0x8e000000,0x20709d33
-	.long	0x80000000,0x1e535a2f
-	.long	0x64000000,0x1cef904e
-	.long	0x30000000,0x1b0d6398
-	.long	0x24000000,0x1964ce7d
-	.long	0x16000000,0x17b908bf
-	.type L(_FPI), @object
-	ASM_SIZE_DIRECTIVE(L(_FPI))
-
-/* Coefficients of polynomials for */
-/* sin(x)~=x+x*x^2*(DP_SIN2_0+x^2*DP_SIN2_1) in low  DP part, */
-/* cos(x)~=1+1*x^2*(DP_COS2_0+x^2*DP_COS2_1) in high DP part, */
-/* for |x|<2^-5. */
-	.p2align 4
-L(DP_SINCOS2_0):
-	.long	0x5543d49d,0xbfc55555
-	.long	0xff5cc6fd,0xbfdfffff
-	.type L(DP_SINCOS2_0), @object
-	ASM_SIZE_DIRECTIVE(L(DP_SINCOS2_0))
-
-	.p2align 4
-L(DP_SINCOS2_1):
-	.long	0x75cec8c5,0x3f8110f4
-	.long	0xb178dac5,0x3fa55514
-	.type L(DP_SINCOS2_1), @object
-	ASM_SIZE_DIRECTIVE(L(DP_SINCOS2_1))
-
-
-	.p2align 3
-L(DP_ZERONE):
-	.long	0x00000000,0x00000000	/* 0.0 */
-	.long	0x00000000,0xbff00000	/* 1.0 */
-	.type L(DP_ZERONE), @object
-	ASM_SIZE_DIRECTIVE(L(DP_ZERONE))
-
-	.p2align 3
-L(DP_ONES):
-	.long	0x00000000,0x3ff00000	/* +1.0 */
-	.long	0x00000000,0xbff00000	/* -1.0 */
-	.type L(DP_ONES), @object
-	ASM_SIZE_DIRECTIVE(L(DP_ONES))
-
-/* Coefficients of polynomials for */
-/* sin(t)~=t+t*t^2*(S0+t^2*(S1+t^2*(S2+t^2*(S3+t^2*S4)))) in low  DP part, */
-/* cos(t)~=1+1*t^2*(C0+t^2*(C1+t^2*(C2+t^2*(C3+t^2*C4)))) in high DP part, */
-/* for |t|<Pi/4. */
-	.p2align 4
-L(DP_SC4):
-	.long	0x1674b58a,0xbe5a947e
-	.long	0xdd8844d7,0xbe923c97
-	.type L(DP_SC4), @object
-	ASM_SIZE_DIRECTIVE(L(DP_SC4))
-
-	.p2align 4
-L(DP_SC3):
-	.long	0x64e6b5b4,0x3ec71d72
-	.long	0x9ac43cc0,0x3efa00eb
-	.type L(DP_SC3), @object
-	ASM_SIZE_DIRECTIVE(L(DP_SC3))
-
-	.p2align 4
-L(DP_SC2):
-	.long	0x8b4bd1f9,0xbf2a019f
-	.long	0x348b6874,0xbf56c16b
-	.type L(DP_SC2), @object
-	ASM_SIZE_DIRECTIVE(L(DP_SC2))
-
-	.p2align 4
-L(DP_SC1):
-	.long	0x10c2688b,0x3f811111
-	.long	0x545c50c7,0x3fa55555
-	.type L(DP_SC1), @object
-	ASM_SIZE_DIRECTIVE(L(DP_SC1))
-
-	.p2align 4
-L(DP_SC0):
-	.long	0x55551cd9,0xbfc55555
-	.long	0xfffe98ae,0xbfdfffff
-	.type L(DP_SC0), @object
-	ASM_SIZE_DIRECTIVE(L(DP_SC0))
-
-	.p2align 3
-L(DP_SMALL):
-	.long	0x00000000,0x3cd00000	/* 2^(-50) */
-	.type L(DP_SMALL), @object
-	ASM_SIZE_DIRECTIVE(L(DP_SMALL))
-
-	.p2align 3
-L(DP_PIO4):
-	.long	0x54442d18,0x3fe921fb	/* Pi/4 */
-	.type L(DP_PIO4), @object
-	ASM_SIZE_DIRECTIVE(L(DP_PIO4))
-
-	.p2align 3
-L(DP_2POW52):
-	.long	0x00000000,0x43300000	/* +2^52 */
-	.long	0x00000000,0xc3300000	/* -2^52 */
-	.type L(DP_2POW52), @object
-	ASM_SIZE_DIRECTIVE(L(DP_2POW52))
-
-	.p2align 3
-L(DP_INVPIO4):
-	.long	0x6dc9c883,0x3ff45f30	/* 4/Pi */
-	.type L(DP_INVPIO4), @object
-	ASM_SIZE_DIRECTIVE(L(DP_INVPIO4))
-
-	.p2align 3
-L(DP_PIO4HI):
-	.long	0x54000000,0xbfe921fb	/* High part of Pi/4 */
-	.type L(DP_PIO4HI), @object
-	ASM_SIZE_DIRECTIVE(L(DP_PIO4HI))
-
-	.p2align 3
-L(DP_PIO4LO):
-	.long	0x11A62633,0xbe010b46	/* Low part of Pi/4 */
-	.type L(DP_PIO4LO), @object
-	ASM_SIZE_DIRECTIVE(L(DP_PIO4LO))
-
-	.p2align 2
-L(SP_INVPIO4):
-	.long	0x3fa2f983		/* 4/Pi */
-	.type L(SP_INVPIO4), @object
-	ASM_SIZE_DIRECTIVE(L(SP_INVPIO4))
-
-	.p2align 4
-L(DP_ABS_MASK): /* Mask for getting DP absolute value */
-	.long	0xffffffff,0x7fffffff
-	.long	0xffffffff,0x7fffffff
-	.type L(DP_ABS_MASK), @object
-	ASM_SIZE_DIRECTIVE(L(DP_ABS_MASK))
-
-	.p2align 3
-L(DP_HI_MASK): /* Mask for getting high 21 bits of DP value */
-	.long	0x00000000,0xffffffff
-	.type L(DP_HI_MASK), @object
-	ASM_SIZE_DIRECTIVE(L(DP_HI_MASK))
-
-	.p2align 4
-L(SP_ABS_MASK): /* Mask for getting SP absolute value */
-	.long	0x7fffffff,0x7fffffff
-	.long	0x7fffffff,0x7fffffff
-	.type L(SP_ABS_MASK), @object
-	ASM_SIZE_DIRECTIVE(L(SP_ABS_MASK))
-
-	.p2align 2
-L(SP_ONE):
-	.long	0x3f800000		/* 1.0 */
-	.type L(SP_ONE), @object
-	ASM_SIZE_DIRECTIVE(L(SP_ONE))
-
-#ifndef __sincosf
-libm_alias_float (__sincos, sincos)
-#endif
-- 
2.19.2


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