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[PATCH 3/3] x86-64: Remove s_sincosf-sse2.S
- From: "H.J. Lu" <hjl dot tools at gmail dot com>
- To: libc-alpha at sourceware dot org
- Date: Wed, 21 Nov 2018 10:11:02 -0800
- Subject: [PATCH 3/3] x86-64: Remove s_sincosf-sse2.S
- References: <20181121181102.27119-1-hjl.tools@gmail.com>
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
--
2.19.1