path: root/sysdeps/i386/i686/fpu/multiarch/s_sincosf-sse2.S

/* Optimized with sse2 version of sincosf
   Copyright (C) 2012-2016 Free Software Foundation, Inc.
   This file is part of the GNU C Library.

   The GNU C Library is free software; you can redistribute it and/or
   modify it under the terms of the GNU Lesser General Public
   License as published by the Free Software Foundation; either
   version 2.1 of the License, or (at your option) any later version.

   The GNU C Library is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
   Lesser General Public License for more details.

   You should have received a copy of the GNU Lesser General Public
   License along with the GNU C Library; if not, see
   <http://www.gnu.org/licenses/>.  */

#include <sysdep.h>
#define __need_Emath
#include <bits/errno.h>

/* Short algorithm description:
 *
 *  1) if |x|==0:    sin(x)=x,
 *                   cos(x)=1.
 *  2) if |x|<2^-27: sin(x)=x-x*DP_SMALL, raising underflow only when needed,
 *                   cos(x)=1-|x|.
 *  3) if |x|<2^-5 : sin(x)=x+x*x^2*DP_SIN2_0+x^5*DP_SIN2_1,
 *                   cos(x)=1+1*x^2*DP_COS2_0+x^5*DP_COS2_1
 *  4) if |x|< Pi/4: sin(x)=x+x*x^2*(S0+x^2*(S1+x^2*(S2+x^2*(S3+x^2*S4)))),
 *                   cos(x)=1+1*x^2*(C0+x^2*(C1+x^2*(C2+x^2*(C3+x^2*C4)))).
 *  5) if |x| < 9*Pi/4:
 *      5.1) Range reduction:
 *          k=trunc(|x|/(Pi/4)), j=(k+1)&0x0e, n=k+1, t=|x|-j*Pi/4.
 *      5.2) Reconstruction:
 *          sign_sin = sign(x) * (-1.0)^(( n   >>2)&1)
 *          sign_cos =           (-1.0)^(((n+2)>>2)&1)
 *          poly_sin = ((((S4*t^2 + S3)*t^2 + S2)*t^2 + S1)*t^2 + S0)*t^2*t+t
 *          poly_cos = ((((C4*t^2 + C3)*t^2 + C2)*t^2 + C1)*t^2 + C0)*t^2*s+s
 *          if(n&2 != 0) {
 *              using cos(t) and sin(t) polynomials for |t|<Pi/4, results are
 *              cos(x) = poly_sin * sign_cos
 *              sin(x) = poly_cos * sign_sin
 *          } else {
 *              sin(x) = poly_sin * sign_sin
 *              cos(x) = poly_cos * sign_cos
 *          }
 *  6) if |x| < 2^23, large args:
 *      6.1) Range reduction:
 *          k=trunc(|x|/(Pi/4)), j=(k+1)&0xfffffffe, n=k+1, t=|x|-j*Pi/4
 *      6.2) Reconstruction same as (5.2).
 *  7) if |x| >= 2^23, very large args:
 *      7.1) Range reduction:
 *          k=trunc(|x|/(Pi/4)), j=(k+1)&0xfffffffe, n=k+1, t=|x|-j*Pi/4.
 *      7.2) Reconstruction same as (5.2).
 *  8) if x is Inf, return x-x, and set errno=EDOM.
 *  9) if x is NaN, return x-x.
 *
 * Special cases:
 *  sin/cos(+-0) = +-0/1 not raising inexact/underflow,
 *  sin/cos(subnormal) raises inexact/underflow,
 *  sin/cos(min_normalized) raises inexact/underflow,
 *  sin/cos(normalized) raises inexact,
 *  sin/cos(Inf) = NaN, raises invalid, sets errno to EDOM,
 *  sin/cos(NaN) = NaN.
 */

#ifdef	PIC
# define MO1(symbol)			L(symbol)##@GOTOFF(%ebx)
# define MO2(symbol,reg2,_scale)	L(symbol)##@GOTOFF(%ebx,reg2,_scale)
# define CFI_PUSH(REG)	cfi_adjust_cfa_offset(4); cfi_rel_offset(REG,0)
# define CFI_POP(REG)	cfi_adjust_cfa_offset(-4); cfi_restore(REG)
# define PUSH(REG)			pushl REG; CFI_PUSH(REG)
# define POP(REG)			popl REG; CFI_POP(REG)
# define ENTRANCE			PUSH(%ebx); LOAD_PIC_REG(bx)
# define RETURN				POP(%ebx); ret; CFI_PUSH(%ebx)
# define ARG_X				8(%esp)
# define ARG_SIN_PTR			12(%esp)
# define ARG_COS_PTR			16(%esp)
#else
# define MO1(symbol)			L(symbol)
# define MO2(symbol,reg2,_scale)	L(symbol)(,reg2,_scale)
# define ENTRANCE
# define RETURN				ret
# define ARG_X				4(%esp)
# define ARG_SIN_PTR			8(%esp)
# define ARG_COS_PTR			12(%esp)
#endif

	.text
ENTRY(__sincosf_sse2)
	/* Input: single precision x on stack at address ARG_X */
	/*        pointer to sin result on stack at address ARG_SIN_PTR */
	/*        pointer to cos result on stack at address ARG_COS_PTR */

	ENTRANCE
	movl	ARG_X, %eax		/* Bits of x */
	cvtss2sd ARG_X, %xmm0		/* DP x */
	andl	$0x7fffffff, %eax	/* |x| */

	cmpl	$0x3f490fdb, %eax	/* |x|<Pi/4 ? */
	jb	L(arg_less_pio4)

	/* Here if |x|>=Pi/4 */
	movd	%eax, %xmm3		/* SP |x| */
	andpd	MO1(DP_ABS_MASK),%xmm0	/* DP |x| */
	movss	MO1(SP_INVPIO4), %xmm2	/* SP 1/(Pi/4) */

	cmpl	$0x40e231d6, %eax	/* |x|<9*Pi/4 ? */
	jae	L(large_args)

	/* Here if Pi/4<=|x|<9*Pi/4 */
	mulss	%xmm3, %xmm2		/* SP |x|/(Pi/4) */
	movl	ARG_X, %ecx		/* Load x */
	cvttss2si %xmm2, %eax		/* k, number of Pi/4 in x */
	shrl	$29, %ecx		/* (sign of x) << 2 */
	addl	$1, %eax		/* k+1 */
	movl	$0x0e, %edx
	andl	%eax, %edx		/* j = (k+1)&0x0e */
	subsd	MO2(PIO4J,%edx,8), %xmm0/* t = |x| - j * Pi/4 */

L(reconstruction):
	/* Input: %eax=n, %xmm0=t, %ecx=sign(x) */

	movaps	%xmm0, %xmm4		/* t */
	movhpd	MO1(DP_ONES), %xmm4	/* 1|t */
	mulsd	%xmm0, %xmm0		/* y=t^2 */
	movl	$2, %edx
	unpcklpd %xmm0, %xmm0		/* y|y */
	addl	%eax, %edx		/* k+2 */
	movaps	%xmm0, %xmm1		/* y|y */
	mulpd	%xmm0, %xmm0		/* z=t^4|z=t^4 */

	movaps	MO1(DP_SC4), %xmm2	/* S4 */
	mulpd	%xmm0, %xmm2		/* z*S4 */
	movaps	MO1(DP_SC3), %xmm3	/* S3 */
	mulpd	%xmm0, %xmm3		/* z*S3 */
	xorl	%eax, %ecx		/* (sign_x ^ (k>>2))<<2 */
	addpd	MO1(DP_SC2), %xmm2	/* S2+z*S4 */
	mulpd	%xmm0, %xmm2		/* z*(S2+z*S4) */
	shrl	$2, %edx		/* (k+2)>>2 */
	addpd	MO1(DP_SC1), %xmm3	/* S1+z*S3 */
	mulpd	%xmm0, %xmm3		/* z*(S1+z*S3) */
	shrl	$2, %ecx		/* sign_x ^ k>>2 */
	addpd	MO1(DP_SC0), %xmm2	/* S0+z*(S2+z*S4) */
	andl	$1, %edx		/* sign_cos = ((k+2)>>2)&1 */
	mulpd	%xmm1, %xmm2		/* y*(S0+z*(S2+z*S4)) */
	andl	$1, %ecx		/* sign_sin = sign_x ^ ((k>>2)&1) */
	addpd	%xmm2, %xmm3		/* y*(S0+y*(S1+y*(S2+y*(S3+y*S4)))) */
	mulpd	%xmm4, %xmm3		/*t*y*(S0+y*(S1+y*(S2+y*(S3+y*S4))))*/
	testl	$2, %eax		/* n&2 != 0 ? */
	addpd	%xmm4, %xmm3		/*t+t*y*(S0+y*(S1+y*(S2+y*(S3+y*S4))*/
	jnz	L(sin_result_sin_poly)

/*L(sin_result_cos_poly):*/
	/*
	 * Here if
	 * cos(x) = poly_sin * sign_cos
	 * sin(x) = poly_cos * sign_sin
	 */
	movsd	MO2(DP_ONES,%ecx,8), %xmm4/* 0|sign_sin */
	movhpd	MO2(DP_ONES,%edx,8), %xmm4/* sign_cos|sign_sin */
	mulpd	%xmm4, %xmm3		/* result_cos|result_sin */
	movl	ARG_SIN_PTR, %eax
	cvtpd2ps %xmm3, %xmm0		/* SP results */
	movl	ARG_COS_PTR, %ecx
	movss	%xmm0, (%eax)		/* store sin(x) from xmm0[0] */
	shufps	$1, %xmm0, %xmm0	/* move cos(x) to xmm0[0] */
	movss	%xmm0, (%ecx)		/* store cos(x) */
	RETURN

	.p2align	4
L(sin_result_sin_poly):
	/*
	 * Here if
	 * sin(x) = poly_sin * sign_sin
	 * cos(x) = poly_cos * sign_cos
	 */
	movsd	MO2(DP_ONES,%edx,8), %xmm4/* 0|sign_cos */
	movhpd	MO2(DP_ONES,%ecx,8), %xmm4/* sign_sin|sign_cos */
	mulpd	%xmm4, %xmm3		/* result_sin|result_cos */
	movl	ARG_SIN_PTR, %eax
	cvtpd2ps %xmm3, %xmm0		/* SP results */
	movl	ARG_COS_PTR, %ecx
	movss	%xmm0, (%ecx)		/* store cos(x) from xmm0[0] */
	shufps	$1, %xmm0, %xmm0	/* move sin(x) to xmm0[0] */
	movss	%xmm0, (%eax)		/* store sin(x) */
	RETURN

	.p2align	4
L(large_args):
	/* Here if |x|>=9*Pi/4 */
	cmpl	$0x7f800000, %eax	/* x is Inf or NaN ? */
	jae	L(arg_inf_or_nan)

	/* Here if finite |x|>=9*Pi/4 */
	cmpl	$0x4b000000, %eax	/* |x|<2^23 ? */
	jae	L(very_large_args)

	/* Here if 9*Pi/4<=|x|<2^23 */
	movsd	MO1(DP_INVPIO4), %xmm1	/* 1/(Pi/4) */
	mulsd	%xmm0, %xmm1		/* |x|/(Pi/4) */
	cvttsd2si %xmm1, %eax		/* k=trunc(|x|/(Pi/4)) */
	addl	$1, %eax		/* k+1 */
	movl	%eax, %edx
	andl	$0xfffffffe, %edx	/* j=(k+1)&0xfffffffe */
	cvtsi2sdl %edx, %xmm4		/* DP j */
	movl	ARG_X, %ecx		/* Load x */
	movsd	MO1(DP_PIO4HI), %xmm2	/* -PIO4HI = high part of -Pi/4 */
	shrl	$29, %ecx		/* (sign of x) << 2 */
	mulsd	%xmm4, %xmm2		/* -j*PIO4HI */
	movsd	MO1(DP_PIO4LO), %xmm3	/* -PIO4LO = low part of -Pi/4 */
	addsd	%xmm2, %xmm0		/* |x| - j*PIO4HI */
	mulsd	%xmm3, %xmm4		/* j*PIO4LO */
	addsd	%xmm4, %xmm0		/* t = |x| - j*PIO4HI - j*PIO4LO */
	jmp	L(reconstruction)

	.p2align	4
L(very_large_args):
	/* Here if finite |x|>=2^23 */

	/* bitpos = (ix>>23) - BIAS_32 + 59; */
	shrl	$23, %eax		/* eb = biased exponent of x */
	subl	$68, %eax		/* bitpos=eb-0x7f+59, where 0x7f */
							/*is exponent bias */
	movl	$28, %ecx		/* %cl=28 */
	movl	%eax, %edx		/* bitpos copy */

	/* j = bitpos/28; */
	div	%cl			/* j in register %al=%ax/%cl */
	movapd	%xmm0, %xmm3		/* |x| */
	andl	$0xff, %eax		/* clear unneeded remainder from %ah*/

	imull	$28, %eax, %ecx		/* j*28 */
	movsd	MO1(DP_HI_MASK), %xmm4	/* DP_HI_MASK */
	movapd	%xmm0, %xmm5		/* |x| */
	mulsd	-2*8+MO2(_FPI,%eax,8), %xmm3/* tmp3 = FPI[j-2]*|x| */
	movapd	%xmm0, %xmm1		/* |x| */
	mulsd	-1*8+MO2(_FPI,%eax,8), %xmm5/* tmp2 = FPI[j-1]*|x| */
	mulsd	0*8+MO2(_FPI,%eax,8), %xmm0/* tmp0 = FPI[j]*|x| */
	addl	$19, %ecx		/* j*28+19 */
	mulsd	1*8+MO2(_FPI,%eax,8), %xmm1/* tmp1 = FPI[j+1]*|x| */
	cmpl	%ecx, %edx		/* bitpos>=j*28+19 ? */
	jl	L(very_large_skip1)

	/* Here if bitpos>=j*28+19 */
	andpd	%xmm3, %xmm4		/* HI(tmp3) */
	subsd	%xmm4, %xmm3		/* tmp3 = tmp3 - HI(tmp3) */
L(very_large_skip1):

	movsd	MO1(DP_2POW52), %xmm6
	movapd	%xmm5, %xmm2		/* tmp2 copy */
	addsd	%xmm3, %xmm5		/* tmp5 = tmp3 + tmp2 */
	movl	$1, %edx
	addsd	%xmm5, %xmm6		/* tmp6 = tmp5 + 2^52 */
	movsd	8+MO1(DP_2POW52), %xmm4
	movd	%xmm6, %eax		/* k = I64_LO(tmp6); */
	addsd	%xmm6, %xmm4		/* tmp4 = tmp6 - 2^52 */
	movl	ARG_X, %ecx		/* Load x */
	comisd	%xmm5, %xmm4		/* tmp4 > tmp5 ? */
	jbe	L(very_large_skip2)

	/* Here if tmp4 > tmp5 */
	subl	$1, %eax		/* k-- */
	addsd	8+MO1(DP_ONES), %xmm4	/* tmp4 -= 1.0 */
L(very_large_skip2):

	andl	%eax, %edx		/* k&1 */
	subsd	%xmm4, %xmm3		/* tmp3 -= tmp4 */
	addsd	MO2(DP_ZERONE,%edx,8), %xmm3/* t  = DP_ZERONE[k&1] + tmp3 */
	addsd	%xmm2, %xmm3		/* t += tmp2 */
	shrl	$29, %ecx		/* (sign of x) << 2 */
	addsd	%xmm3, %xmm0		/* t += tmp0 */
	addl	$1, %eax		/* n=k+1 */
	addsd	%xmm1, %xmm0		/* t += tmp1 */
	mulsd	MO1(DP_PIO4), %xmm0	/* t *= PI04 */

	jmp	L(reconstruction)	/* end of very_large_args peth */

	.p2align	4
L(arg_less_pio4):
	/* Here if |x|<Pi/4 */
	cmpl	$0x3d000000, %eax	/* |x|<2^-5 ? */
	jl	L(arg_less_2pn5)

	/* Here if 2^-5<=|x|<Pi/4 */
	movaps	%xmm0, %xmm3		/* DP x */
	movhpd	MO1(DP_ONES), %xmm3	/* DP 1|x */
	mulsd	%xmm0, %xmm0		/* DP y=x^2 */
	unpcklpd %xmm0, %xmm0		/* DP y|y */
	movaps	%xmm0, %xmm1		/* y|y */
	mulpd	%xmm0, %xmm0		/* z=x^4|z=x^4 */

	movapd	MO1(DP_SC4), %xmm4	/* S4 */
	mulpd	%xmm0, %xmm4		/* z*S4 */
	movapd	MO1(DP_SC3), %xmm5	/* S3 */
	mulpd	%xmm0, %xmm5		/* z*S3 */
	addpd	MO1(DP_SC2), %xmm4	/* S2+z*S4 */
	mulpd	%xmm0, %xmm4		/* z*(S2+z*S4) */
	addpd	MO1(DP_SC1), %xmm5	/* S1+z*S3 */
	mulpd	%xmm0, %xmm5		/* z*(S1+z*S3) */
	addpd	MO1(DP_SC0), %xmm4	/* S0+z*(S2+z*S4) */
	mulpd	%xmm1, %xmm4		/* y*(S0+z*(S2+z*S4)) */
	mulpd	%xmm3, %xmm5		/* x*z*(S1+z*S3) */
	mulpd	%xmm3, %xmm4		/* x*y*(S0+z*(S2+z*S4)) */
	addpd	%xmm5, %xmm4		/*x*y*(S0+y*(S1+y*(S2+y*(S3+y*S4))))*/
	movl	ARG_SIN_PTR, %eax
	addpd	%xmm4, %xmm3		/*x+x*y*(S0+y*(S1+y*(S2+y*(S3+y*S4))*/
	movl	ARG_COS_PTR, %ecx
	cvtpd2ps %xmm3, %xmm0		/* SP results */
	movss	%xmm0, (%eax)		/* store sin(x) from xmm0[0] */
	shufps	$1, %xmm0, %xmm0	/* move cos(x) to xmm0[0] */
	movss	%xmm0, (%ecx)		/* store cos(x) */
	RETURN

	.p2align	4
L(arg_less_2pn5):
	/* Here if |x|<2^-5 */
	cmpl	$0x32000000, %eax	/* |x|<2^-27 ? */
	jl	L(arg_less_2pn27)

	/* Here if 2^-27<=|x|<2^-5 */
	movaps	%xmm0, %xmm1		/* DP x */
	movhpd	MO1(DP_ONES), %xmm1	/* DP 1|x */
	mulsd	%xmm0, %xmm0		/* DP x^2 */
	unpcklpd %xmm0, %xmm0		/* DP x^2|x^2 */

	movaps	MO1(DP_SINCOS2_1), %xmm3/* DP DP_SIN2_1 */
	mulpd	%xmm0, %xmm3		/* DP x^2*DP_SIN2_1 */
	addpd	MO1(DP_SINCOS2_0), %xmm3/* DP DP_SIN2_0+x^2*DP_SIN2_1 */
	mulpd	%xmm0, %xmm3		/* DP x^2*DP_SIN2_0+x^4*DP_SIN2_1 */
	mulpd	%xmm1, %xmm3		/* DP x^3*DP_SIN2_0+x^5*DP_SIN2_1 */
	addpd	%xmm1, %xmm3		/* DP x+x^3*DP_SIN2_0+x^5*DP_SIN2_1 */
	movl	ARG_SIN_PTR, %eax
	cvtpd2ps %xmm3, %xmm0		/* SP results */
	movl	ARG_COS_PTR, %ecx
	movss	%xmm0, (%eax)		/* store sin(x) from xmm0[0] */
	shufps	$1, %xmm0, %xmm0	/* move cos(x) to xmm0[0] */
	movss	%xmm0, (%ecx)		/* store cos(x) */
	RETURN

	.p2align	4
L(arg_less_2pn27):
	movss	ARG_X, %xmm7		/* SP x */
	cmpl	$0, %eax		/* x=0 ? */
	je	L(arg_zero)		/* in case x=0 return sin(+-0)==+-0 */
	/* Here if |x|<2^-27 */
	/*
	 * Special cases here:
	 *  sin(subnormal) raises inexact/underflow
	 *  sin(min_normalized) raises inexact/underflow
	 *  sin(normalized) raises inexact
	 *  cos(here)=1-|x| (raising inexact)
	 */
	movaps	%xmm0, %xmm3		/* DP x */
	mulsd	MO1(DP_SMALL), %xmm0	/* DP x*DP_SMALL */
	subsd	%xmm0, %xmm3		/* DP sin result is x-x*DP_SMALL */
	andps	MO1(SP_ABS_MASK), %xmm7	/* SP |x| */
	cvtsd2ss %xmm3, %xmm0		/* sin(x) */
	movl	ARG_SIN_PTR, %eax
	movss	MO1(SP_ONE), %xmm1	/* SP 1.0 */
	movss	%xmm0, (%eax)		/* sin(x) store */
	movl	ARG_COS_PTR, %ecx
	subss	%xmm7, %xmm1		/* cos(x) */
	movss	%xmm1, (%ecx)		/* cos(x) store */
	RETURN

	.p2align	4
L(arg_zero):
	movss	MO1(SP_ONE), %xmm0	/* 1.0 */
	movl	ARG_SIN_PTR, %eax
	movl	ARG_COS_PTR, %ecx
	movss	%xmm7, (%eax)		/* sin(+-0)==x */
	movss	%xmm0, (%ecx)		/* cos(+-0)==1 */
	RETURN

	.p2align	4
L(arg_inf_or_nan):
	movss	ARG_X, %xmm7		/* SP x */
	/* Here if |x| is Inf or NAN */
	jne	L(skip_errno_setting)	/* in case of x is NaN */

	/* Here if x is Inf. Set errno to EDOM.  */
	call	JUMPTARGET(__errno_location)
	movl	$EDOM, (%eax)

	.p2align	4
L(skip_errno_setting):
	/* Here if |x| is Inf or NAN. Continued. */
	subss	%xmm7, %xmm7		/* x-x, result is NaN */
	movl	ARG_SIN_PTR, %eax
	movl	ARG_COS_PTR, %ecx
	movss	%xmm7, (%eax)
	movss	%xmm7, (%ecx)
	RETURN
END(__sincosf_sse2)

	.section .rodata, "a"
	.p2align 3
L(PIO4J): /* Table of j*Pi/4, for j=0,1,..,10 */
	.long	0x00000000,0x00000000
	.long	0x54442d18,0x3fe921fb
	.long	0x54442d18,0x3ff921fb
	.long	0x7f3321d2,0x4002d97c
	.long	0x54442d18,0x400921fb
	.long	0x2955385e,0x400f6a7a
	.long	0x7f3321d2,0x4012d97c
	.long	0xe9bba775,0x4015fdbb
	.long	0x54442d18,0x401921fb
	.long	0xbeccb2bb,0x401c463a
	.long	0x2955385e,0x401f6a7a
	.type L(PIO4J), @object
	ASM_SIZE_DIRECTIVE(L(PIO4J))

	.p2align 3
L(_FPI): /* 4/Pi broken into sum of positive DP values */
	.long	0x00000000,0x00000000
	.long	0x6c000000,0x3ff45f30
	.long	0x2a000000,0x3e3c9c88
	.long	0xa8000000,0x3c54fe13
	.long	0xd0000000,0x3aaf47d4
	.long	0x6c000000,0x38fbb81b
	.long	0xe0000000,0x3714acc9
	.long	0x7c000000,0x3560e410
	.long	0x56000000,0x33bca2c7
	.long	0xac000000,0x31fbd778
	.long	0xe0000000,0x300b7246
	.long	0xe8000000,0x2e5d2126
	.long	0x48000000,0x2c970032
	.long	0xe8000000,0x2ad77504
	.long	0xe0000000,0x290921cf
	.long	0xb0000000,0x274deb1c
	.long	0xe0000000,0x25829a73
	.long	0xbe000000,0x23fd1046
	.long	0x10000000,0x2224baed
	.long	0x8e000000,0x20709d33
	.long	0x80000000,0x1e535a2f
	.long	0x64000000,0x1cef904e
	.long	0x30000000,0x1b0d6398
	.long	0x24000000,0x1964ce7d
	.long	0x16000000,0x17b908bf
	.type L(_FPI), @object
	ASM_SIZE_DIRECTIVE(L(_FPI))

/* Coefficients of polynomials for */
/* sin(x)~=x+x*x^2*(DP_SIN2_0+x^2*DP_SIN2_1) in low  DP part, */
/* cos(x)~=1+1*x^2*(DP_COS2_0+x^2*DP_COS2_1) in high DP part, */
/* for |x|<2^-5. */
	.p2align 4
L(DP_SINCOS2_0):
	.long	0x5543d49d,0xbfc55555
	.long	0xff5cc6fd,0xbfdfffff
	.type L(DP_SINCOS2_0), @object
	ASM_SIZE_DIRECTIVE(L(DP_SINCOS2_0))

	.p2align 4
L(DP_SINCOS2_1):
	.long	0x75cec8c5,0x3f8110f4
	.long	0xb178dac5,0x3fa55514
	.type L(DP_SINCOS2_1), @object
	ASM_SIZE_DIRECTIVE(L(DP_SINCOS2_1))

	.p2align 3
L(DP_ZERONE):
	.long	0x00000000,0x00000000	/* 0.0 */
	.long	0x00000000,0xbff00000	/* 1.0 */
	.type L(DP_ZERONE), @object
	ASM_SIZE_DIRECTIVE(L(DP_ZERONE))

	.p2align 3
L(DP_ONES):
	.long	0x00000000,0x3ff00000	/* +1.0 */
	.long	0x00000000,0xbff00000	/* -1.0 */
	.type L(DP_ONES), @object
	ASM_SIZE_DIRECTIVE(L(DP_ONES))

/* Coefficients of polynomials for */
/* sin(t)~=t+t*t^2*(S0+t^2*(S1+t^2*(S2+t^2*(S3+t^2*S4)))) in low  DP part, */
/* cos(t)~=1+1*t^2*(C0+t^2*(C1+t^2*(C2+t^2*(C3+t^2*C4)))) in high DP part, */
/* for |t|<Pi/4. */
	.p2align 4
L(DP_SC4):
	.long	0x1674b58a,0xbe5a947e
	.long	0xdd8844d7,0xbe923c97
	.type L(DP_SC4), @object
	ASM_SIZE_DIRECTIVE(L(DP_SC4))

	.p2align 4
L(DP_SC3):
	.long	0x64e6b5b4,0x3ec71d72
	.long	0x9ac43cc0,0x3efa00eb
	.type L(DP_SC3), @object
	ASM_SIZE_DIRECTIVE(L(DP_SC3))

	.p2align 4
L(DP_SC2):
	.long	0x8b4bd1f9,0xbf2a019f
	.long	0x348b6874,0xbf56c16b
	.type L(DP_SC2), @object
	ASM_SIZE_DIRECTIVE(L(DP_SC2))

	.p2align 4
L(DP_SC1):
	.long	0x10c2688b,0x3f811111
	.long	0x545c50c7,0x3fa55555
	.type L(DP_SC1), @object
	ASM_SIZE_DIRECTIVE(L(DP_SC1))

	.p2align 4
L(DP_SC0):
	.long	0x55551cd9,0xbfc55555
	.long	0xfffe98ae,0xbfdfffff
	.type L(DP_SC0), @object
	ASM_SIZE_DIRECTIVE(L(DP_SC0))

	.p2align 3
L(DP_SMALL):
	.long	0x00000000,0x3cd00000	/* 2^(-50) */
	.type L(DP_SMALL), @object
	ASM_SIZE_DIRECTIVE(L(DP_SMALL))

	.p2align 3
L(DP_PIO4):
	.long	0x54442d18,0x3fe921fb	/* Pi/4 */
	.type L(DP_PIO4), @object
	ASM_SIZE_DIRECTIVE(L(DP_PIO4))

	.p2align 3
L(DP_2POW52):
	.long	0x00000000,0x43300000	/* +2^52 */
	.long	0x00000000,0xc3300000	/* -2^52 */
	.type L(DP_2POW52), @object
	ASM_SIZE_DIRECTIVE(L(DP_2POW52))

	.p2align 3
L(DP_INVPIO4):
	.long	0x6dc9c883,0x3ff45f30	/* 4/Pi */
	.type L(DP_INVPIO4), @object
	ASM_SIZE_DIRECTIVE(L(DP_INVPIO4))

	.p2align 3
L(DP_PIO4HI):
	.long	0x54000000,0xbfe921fb	/* High part of Pi/4 */
	.type L(DP_PIO4HI), @object
	ASM_SIZE_DIRECTIVE(L(DP_PIO4HI))

	.p2align 3
L(DP_PIO4LO):
	.long	0x11A62633,0xbe010b46	/* Low part of Pi/4 */
	.type L(DP_PIO4LO), @object
	ASM_SIZE_DIRECTIVE(L(DP_PIO4LO))

	.p2align 2
L(SP_INVPIO4):
	.long	0x3fa2f983		/* 4/Pi */
	.type L(SP_INVPIO4), @object
	ASM_SIZE_DIRECTIVE(L(SP_INVPIO4))

	.p2align 4
L(DP_ABS_MASK): /* Mask for getting DP absolute value */
	.long	0xffffffff,0x7fffffff
	.long	0xffffffff,0x7fffffff
	.type L(DP_ABS_MASK), @object
	ASM_SIZE_DIRECTIVE(L(DP_ABS_MASK))

	.p2align 3
L(DP_HI_MASK): /* Mask for getting high 21 bits of DP value */
	.long	0x00000000,0xffffffff
	.type L(DP_HI_MASK), @object
	ASM_SIZE_DIRECTIVE(L(DP_HI_MASK))

	.p2align 4
L(SP_ABS_MASK): /* Mask for getting SP absolute value */
	.long	0x7fffffff,0x7fffffff
	.long	0x7fffffff,0x7fffffff
	.type L(SP_ABS_MASK), @object
	ASM_SIZE_DIRECTIVE(L(SP_ABS_MASK))

	.p2align 2
L(SP_ONE):
	.long	0x3f800000		/* 1.0 */
	.type L(SP_ONE), @object
	ASM_SIZE_DIRECTIVE(L(SP_ONE))

weak_alias(__sincosf, sincosf)