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fd860eaaa8
This is fairly complicated, not because the users of __need_Emath and __need_error_t have complicated requirements, but because the core changes had a lot of fallout. __need_error_t exists for gnulib compatibility in argz.h and argp.h. error_t itself is a Hurdism, an enum containing all the E-constants, so you can do 'p (error_t) errno' in gdb and get a symbolic value. argz.h and argp.h use it for function return values, and they want to fall back to 'int' when that's not available. There is no reason why these nonstandard headers cannot just go ahead and include all of errno.h; so we do that. __need_Emath is defined only by .S files; what they _really_ need is for errno.h to avoid declaring anything other than the E-constants (e.g. 'extern int __errno_location(void);' is a syntax error in assembly language). This is replaced with a check for __ASSEMBLER__ in errno.h, plus a carefully documented requirement for bits/errno.h not to define anything other than macros. That in turn has the consequence that bits/errno.h must not define errno - fortunately, all live ports use the same definition of errno, so I've moved it to errno.h. The Hurd bits/errno.h must also take care not to define error_t when __ASSEMBLER__ is defined, which involves repeating all of the definitions twice, but it's a generated file so that's okay. * stdlib/errno.h: Remove __need_Emath and __need_error_t logic. Reorganize file. Declare errno here. When __ASSEMBLER__ is defined, don't declare anything other than the E-constants. * include/errno.h: Change conditional for exposing internal declarations to (not _ISOMAC and not __ASSEMBLER__). * bits/errno.h: Remove logic for __need_Emath. Document requirements for a port-specific bits/errno.h. * sysdeps/unix/sysv/linux/bits/errno.h * sysdeps/unix/sysv/linux/alpha/bits/errno.h * sysdeps/unix/sysv/linux/hppa/bits/errno.h * sysdeps/unix/sysv/linux/mips/bits/errno.h * sysdeps/unix/sysv/linux/sparc/bits/errno.h: Add multiple-include guard and check against improper inclusion. Remove __need_Emath logic. Don't declare errno here. Ensure all constants are defined as simple integer literals. Consistent formatting. * sysdeps/mach/hurd/errnos.awk: Likewise. Only define error_t and enum __error_t_codes if __ASSEMBLER__ is not defined. * sysdeps/mach/hurd/bits/errno.h: Regenerate. * argp/argp.h, string/argz.h: Don't define __need_error_t before including errno.h. * sysdeps/i386/i686/fpu/multiarch/s_cosf-sse2.S * sysdeps/i386/i686/fpu/multiarch/s_sincosf-sse2.S * sysdeps/i386/i686/fpu/multiarch/s_sinf-sse2.S * sysdeps/x86_64/fpu/s_cosf.S * sysdeps/x86_64/fpu/s_sincosf.S * sysdeps/x86_64/fpu/s_sinf.S: Just include errno.h; don't define __need_Emath or include bits/errno.h directly.
533 lines
15 KiB
ArmAsm
533 lines
15 KiB
ArmAsm
/* Optimized cosf function.
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Copyright (C) 2012-2017 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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<http://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 1.0-|x|.
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* 2) if |x| < 2^-27: return 1.0-|x|.
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* 3) if |x| < 2^-5 : return 1.0+x^2*DP_COS2_0+x^5*DP_COS2_1.
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* 4) if |x| < Pi/4: return 1.0+x^2*(C0+x^2*(C1+x^2*(C2+x^2*(C3+x^2*C4)))).
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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+3,
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* t=|x|-j*Pi/4.
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* 5.2) Reconstruction:
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* s = (-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+3,
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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+3,
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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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* cos(+-0) = 1 not raising inexact,
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* cos(subnormal) raises inexact,
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* cos(min_normalized) raises inexact,
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* cos(normalized) raises inexact,
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* cos(Inf) = NaN, raises invalid, sets errno to EDOM,
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* cos(NaN) = NaN.
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*/
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.text
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ENTRY(__cosf)
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/* Input: single precision x in %xmm0 */
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movd %xmm0, %eax /* Bits of x */
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movaps %xmm0, %xmm7 /* Copy of x */
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cvtss2sd %xmm0, %xmm0 /* DP x */
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movss L(SP_ABS_MASK)(%rip), %xmm3
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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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andps %xmm7, %xmm3 /* SP |x| */
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andpd L(DP_ABS_MASK)(%rip), %xmm0 /* DP |x| */
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movss L(SP_INVPIO4)(%rip), %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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cvttss2si %xmm2, %eax /* k, number of Pi/4 in x */
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lea L(PIO4J)(%rip), %rsi
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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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addl $2, %eax /* n */
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subsd (%rsi,%rdx,8), %xmm0 /* t = |x| - j * Pi/4 */
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L(reconstruction):
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/* Input: %eax=n, %xmm0=t */
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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 cos(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 L(DP_C4)(%rip), %xmm4 /* C4 */
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mulsd %xmm0, %xmm4 /* z*C4 */
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movsd L(DP_C3)(%rip), %xmm3 /* C3 */
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mulsd %xmm0, %xmm3 /* z*C3 */
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lea L(DP_ONES)(%rip), %rsi
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addsd L(DP_C2)(%rip), %xmm4 /* C2+z*C4 */
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mulsd %xmm0, %xmm4 /* z*(C2+z*C4) */
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addsd L(DP_C1)(%rip), %xmm3 /* C1+z*C3 */
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mulsd %xmm0, %xmm3 /* z*(C1+z*C3) */
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addsd L(DP_C0)(%rip), %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 L(DP_ONES)(%rip), %xmm3
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mulsd (%rsi,%rax,8), %xmm3 /* DP result */
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cvtsd2ss %xmm3, %xmm0 /* SP result */
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ret
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.p2align 4
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L(sin_poly):
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/* Here if cos(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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mulsd %xmm0, %xmm0 /* z=t^4 */
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movsd L(DP_S4)(%rip), %xmm2 /* S4 */
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mulsd %xmm0, %xmm2 /* z*S4 */
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movsd L(DP_S3)(%rip), %xmm3 /* S3 */
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mulsd %xmm0, %xmm3 /* z*S3 */
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lea L(DP_ONES)(%rip), %rsi
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addsd L(DP_S2)(%rip), %xmm2 /* S2+z*S4 */
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mulsd %xmm0, %xmm2 /* z*(S2+z*S4) */
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addsd L(DP_S1)(%rip), %xmm3 /* S1+z*S3 */
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mulsd %xmm0, %xmm3 /* z*(S1+z*S3) */
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addsd L(DP_S0)(%rip), %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 (%rsi,%rax,8), %xmm4
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/* y*(S0+y*(S1+y*(S2+y*(S3+y*S4)))) */
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addsd %xmm2, %xmm3
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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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cvtsd2ss %xmm3, %xmm0 /* SP result */
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ret
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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 L(DP_INVPIO4)(%rip), %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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movsd L(DP_PIO4HI)(%rip), %xmm2 /* -PIO4HI = high part of -Pi/4 */
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mulsd %xmm4, %xmm2 /* -j*PIO4HI */
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movsd L(DP_PIO4LO)(%rip), %xmm3 /* -PIO4LO = low part of -Pi/4 */
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addsd %xmm2, %xmm0 /* |x| - j*PIO4HI */
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addl $2, %eax /* n */
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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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lea L(_FPI)(%rip), %rsi
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movsd L(DP_HI_MASK)(%rip), %xmm4 /* DP_HI_MASK */
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movapd %xmm0, %xmm5 /* |x| */
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mulsd -16(%rsi,%rax,8), %xmm3 /* tmp3 = FPI[j-2]*|x| */
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movapd %xmm0, %xmm1 /* |x| */
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mulsd -8(%rsi,%rax,8), %xmm5 /* tmp2 = FPI[j-1]*|x| */
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mulsd (%rsi,%rax,8), %xmm0 /* tmp0 = FPI[j]*|x| */
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addl $19, %ecx /* j*28+19 */
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mulsd 8(%rsi,%rax,8), %xmm1 /* tmp1 = FPI[j+1]*|x| */
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cmpl %ecx, %edx /* bitpos>=j*28+19? */
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jl L(very_large_skip1)
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/* Here if bitpos>=j*28+19 */
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andpd %xmm3, %xmm4 /* HI(tmp3) */
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subsd %xmm4, %xmm3 /* tmp3 = tmp3 - HI(tmp3) */
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L(very_large_skip1):
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movsd L(DP_2POW52)(%rip), %xmm6
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movapd %xmm5, %xmm2 /* tmp2 copy */
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addsd %xmm3, %xmm5 /* tmp5 = tmp3 + tmp2 */
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movl $1, %edx
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addsd %xmm5, %xmm6 /* tmp6 = tmp5 + 2^52 */
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movsd 8+L(DP_2POW52)(%rip), %xmm4
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movd %xmm6, %eax /* k = I64_LO(tmp6); */
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addsd %xmm6, %xmm4 /* tmp4 = tmp6 - 2^52 */
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comisd %xmm5, %xmm4 /* tmp4 > tmp5? */
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jbe L(very_large_skip2)
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/* Here if tmp4 > tmp5 */
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subl $1, %eax /* k-- */
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addsd 8+L(DP_ONES)(%rip), %xmm4 /* tmp4 -= 1.0 */
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L(very_large_skip2):
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andl %eax, %edx /* k&1 */
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lea L(DP_ZERONE)(%rip), %rsi
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subsd %xmm4, %xmm3 /* tmp3 -= tmp4 */
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addsd (%rsi,%rdx,8), %xmm3 /* t = DP_ZERONE[k&1] + tmp3 */
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addsd %xmm2, %xmm3 /* t += tmp2 */
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addsd %xmm3, %xmm0 /* t += tmp0 */
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addl $3, %eax /* n=k+3 */
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addsd %xmm1, %xmm0 /* t += tmp1 */
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mulsd L(DP_PIO4)(%rip), %xmm0 /* t *= PI04 */
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jmp L(reconstruction) /* end of very_large_args peth */
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.p2align 4
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L(arg_less_pio4):
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/* Here if |x|<Pi/4 */
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cmpl $0x3d000000, %eax /* |x|<2^-5? */
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jl L(arg_less_2pn5)
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/* Here if 2^-5<=|x|<Pi/4 */
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mulsd %xmm0, %xmm0 /* y=x^2 */
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movaps %xmm0, %xmm1 /* y */
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mulsd %xmm0, %xmm0 /* z=x^4 */
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movsd L(DP_C4)(%rip), %xmm3 /* C4 */
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mulsd %xmm0, %xmm3 /* z*C4 */
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movsd L(DP_C3)(%rip), %xmm5 /* C3 */
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mulsd %xmm0, %xmm5 /* z*C3 */
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addsd L(DP_C2)(%rip), %xmm3 /* C2+z*C4 */
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mulsd %xmm0, %xmm3 /* z*(C2+z*C4) */
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addsd L(DP_C1)(%rip), %xmm5 /* C1+z*C3 */
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mulsd %xmm0, %xmm5 /* z*(C1+z*C3) */
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addsd L(DP_C0)(%rip), %xmm3 /* C0+z*(C2+z*C4) */
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mulsd %xmm1, %xmm3 /* y*(C0+z*(C2+z*C4)) */
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/* y*(C0+y*(C1+y*(C2+y*(C3+y*C4)))) */
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addsd %xmm5, %xmm3
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/* 1.0 + y*(C0+y*(C1+y*(C2+y*(C3+y*C4)))) */
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addsd L(DP_ONES)(%rip), %xmm3
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cvtsd2ss %xmm3, %xmm0 /* SP result */
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ret
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.p2align 4
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L(arg_less_2pn5):
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/* Here if |x|<2^-5 */
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cmpl $0x32000000, %eax /* |x|<2^-27? */
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jl L(arg_less_2pn27)
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/* Here if 2^-27<=|x|<2^-5 */
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mulsd %xmm0, %xmm0 /* DP x^2 */
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movsd L(DP_COS2_1)(%rip), %xmm3 /* DP DP_COS2_1 */
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mulsd %xmm0, %xmm3 /* DP x^2*DP_COS2_1 */
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addsd L(DP_COS2_0)(%rip), %xmm3 /* DP DP_COS2_0+x^2*DP_COS2_1 */
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mulsd %xmm0, %xmm3 /* DP x^2*DP_COS2_0+x^4*DP_COS2_1 */
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/* DP 1.0+x^2*DP_COS2_0+x^4*DP_COS2_1 */
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addsd L(DP_ONES)(%rip), %xmm3
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cvtsd2ss %xmm3, %xmm0 /* SP result */
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ret
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.p2align 4
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L(arg_less_2pn27):
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/* Here if |x|<2^-27 */
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andps L(SP_ABS_MASK)(%rip),%xmm7 /* |x| */
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movss L(SP_ONE)(%rip), %xmm0 /* 1.0 */
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subss %xmm7, %xmm0 /* result is 1.0-|x| */
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ret
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.p2align 4
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L(arg_inf_or_nan):
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/* Here if |x| is Inf or NAN */
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jne L(skip_errno_setting) /* in case of x is NaN */
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/* Align stack to 16 bytes. */
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subq $8, %rsp
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cfi_adjust_cfa_offset (8)
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/* Here if x is Inf. Set errno to EDOM. */
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call JUMPTARGET(__errno_location)
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addq $8, %rsp
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cfi_adjust_cfa_offset (-8)
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movl $EDOM, (%rax)
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.p2align 4
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L(skip_errno_setting):
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/* Here if |x| is Inf or NAN. Continued. */
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movaps %xmm7, %xmm0 /* load x */
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subss %xmm0, %xmm0 /* Result is NaN */
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ret
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END(__cosf)
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.section .rodata, "a"
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.p2align 3
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L(PIO4J): /* Table of j*Pi/4, for j=0,1,..,10 */
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.long 0x00000000,0x00000000
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.long 0x54442d18,0x3fe921fb
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.long 0x54442d18,0x3ff921fb
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.long 0x7f3321d2,0x4002d97c
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.long 0x54442d18,0x400921fb
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.long 0x2955385e,0x400f6a7a
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.long 0x7f3321d2,0x4012d97c
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.long 0xe9bba775,0x4015fdbb
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.long 0x54442d18,0x401921fb
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.long 0xbeccb2bb,0x401c463a
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.long 0x2955385e,0x401f6a7a
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.type L(PIO4J), @object
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ASM_SIZE_DIRECTIVE(L(PIO4J))
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.p2align 3
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L(_FPI): /* 4/Pi broken into sum of positive DP values */
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.long 0x00000000,0x00000000
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.long 0x6c000000,0x3ff45f30
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.long 0x2a000000,0x3e3c9c88
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.long 0xa8000000,0x3c54fe13
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.long 0xd0000000,0x3aaf47d4
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.long 0x6c000000,0x38fbb81b
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.long 0xe0000000,0x3714acc9
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.long 0x7c000000,0x3560e410
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.long 0x56000000,0x33bca2c7
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.long 0xac000000,0x31fbd778
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.long 0xe0000000,0x300b7246
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.long 0xe8000000,0x2e5d2126
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.long 0x48000000,0x2c970032
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.long 0xe8000000,0x2ad77504
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.long 0xe0000000,0x290921cf
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.long 0xb0000000,0x274deb1c
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.long 0xe0000000,0x25829a73
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.long 0xbe000000,0x23fd1046
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.long 0x10000000,0x2224baed
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.long 0x8e000000,0x20709d33
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.long 0x80000000,0x1e535a2f
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.long 0x64000000,0x1cef904e
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.long 0x30000000,0x1b0d6398
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.long 0x24000000,0x1964ce7d
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.long 0x16000000,0x17b908bf
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.type L(_FPI), @object
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ASM_SIZE_DIRECTIVE(L(_FPI))
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/* Coefficients of polynomial
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for cos(x)~=1.0+x^2*DP_COS2_0+x^4*DP_COS2_1, |x|<2^-5. */
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.p2align 3
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L(DP_COS2_0):
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.long 0xff5cc6fd,0xbfdfffff
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.type L(DP_COS2_0), @object
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ASM_SIZE_DIRECTIVE(L(DP_COS2_0))
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.p2align 3
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L(DP_COS2_1):
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.long 0xb178dac5,0x3fa55514
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.type L(DP_COS2_1), @object
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ASM_SIZE_DIRECTIVE(L(DP_COS2_1))
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.p2align 3
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L(DP_ZERONE):
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.long 0x00000000,0x00000000 /* 0.0 */
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.long 0x00000000,0xbff00000 /* 1.0 */
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.type L(DP_ZERONE), @object
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ASM_SIZE_DIRECTIVE(L(DP_ZERONE))
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.p2align 3
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L(DP_ONES):
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.long 0x00000000,0x3ff00000 /* +1.0 */
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.long 0x00000000,0xbff00000 /* -1.0 */
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.type L(DP_ONES), @object
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ASM_SIZE_DIRECTIVE(L(DP_ONES))
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/* Coefficients of polynomial
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for sin(t)~=t+t^3*(S0+t^2*(S1+t^2*(S2+t^2*(S3+t^2*S4)))), |t|<Pi/4. */
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.p2align 3
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L(DP_S3):
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.long 0x64e6b5b4,0x3ec71d72
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.type L(DP_S3), @object
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ASM_SIZE_DIRECTIVE(L(DP_S3))
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.p2align 3
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L(DP_S1):
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.long 0x10c2688b,0x3f811111
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.type L(DP_S1), @object
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ASM_SIZE_DIRECTIVE(L(DP_S1))
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.p2align 3
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L(DP_S4):
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.long 0x1674b58a,0xbe5a947e
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.type L(DP_S4), @object
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ASM_SIZE_DIRECTIVE(L(DP_S4))
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.p2align 3
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L(DP_S2):
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.long 0x8b4bd1f9,0xbf2a019f
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.type L(DP_S2),@object
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ASM_SIZE_DIRECTIVE(L(DP_S2))
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.p2align 3
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L(DP_S0):
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.long 0x55551cd9,0xbfc55555
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.type L(DP_S0), @object
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ASM_SIZE_DIRECTIVE(L(DP_S0))
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/* Coefficients of polynomial
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for cos(t)~=1.0+t^2*(C0+t^2*(C1+t^2*(C2+t^2*(C3+t^2*C4)))), |t|<Pi/4. */
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.p2align 3
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L(DP_C3):
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.long 0x9ac43cc0,0x3efa00eb
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.type L(DP_C3), @object
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ASM_SIZE_DIRECTIVE(L(DP_C3))
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.p2align 3
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L(DP_C1):
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.long 0x545c50c7,0x3fa55555
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.type L(DP_C1), @object
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ASM_SIZE_DIRECTIVE(L(DP_C1))
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.p2align 3
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L(DP_C4):
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.long 0xdd8844d7,0xbe923c97
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.type L(DP_C4), @object
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ASM_SIZE_DIRECTIVE(L(DP_C4))
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.p2align 3
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L(DP_C2):
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.long 0x348b6874,0xbf56c16b
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.type L(DP_C2), @object
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ASM_SIZE_DIRECTIVE(L(DP_C2))
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.p2align 3
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L(DP_C0):
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.long 0xfffe98ae,0xbfdfffff
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.type L(DP_C0), @object
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ASM_SIZE_DIRECTIVE(L(DP_C0))
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.p2align 3
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L(DP_PIO4):
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.long 0x54442d18,0x3fe921fb /* Pi/4 */
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.type L(DP_PIO4), @object
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ASM_SIZE_DIRECTIVE(L(DP_PIO4))
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.p2align 3
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L(DP_2POW52):
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.long 0x00000000,0x43300000 /* +2^52 */
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.long 0x00000000,0xc3300000 /* -2^52 */
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.type L(DP_2POW52), @object
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ASM_SIZE_DIRECTIVE(L(DP_2POW52))
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.p2align 3
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L(DP_INVPIO4):
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.long 0x6dc9c883,0x3ff45f30 /* 4/Pi */
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.type L(DP_INVPIO4), @object
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ASM_SIZE_DIRECTIVE(L(DP_INVPIO4))
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.p2align 3
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L(DP_PIO4HI):
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.long 0x54000000,0xbfe921fb /* High part of Pi/4 */
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.type L(DP_PIO4HI), @object
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ASM_SIZE_DIRECTIVE(L(DP_PIO4HI))
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.p2align 3
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L(DP_PIO4LO):
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.long 0x11A62633,0xbe010b46 /* Low part of Pi/4 */
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.type L(DP_PIO4LO), @object
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ASM_SIZE_DIRECTIVE(L(DP_PIO4LO))
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.p2align 2
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L(SP_INVPIO4):
|
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.long 0x3fa2f983 /* 4/Pi */
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.type L(SP_INVPIO4), @object
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ASM_SIZE_DIRECTIVE(L(SP_INVPIO4))
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.p2align 4
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L(DP_ABS_MASK): /* Mask for getting DP absolute value */
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.long 0xffffffff,0x7fffffff
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.long 0xffffffff,0x7fffffff
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.type L(DP_ABS_MASK), @object
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ASM_SIZE_DIRECTIVE(L(DP_ABS_MASK))
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.p2align 3
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L(DP_HI_MASK): /* Mask for getting high 21 bits of DP value */
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.long 0x00000000,0xffffffff
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.type L(DP_HI_MASK), @object
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ASM_SIZE_DIRECTIVE(L(DP_HI_MASK))
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.p2align 4
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L(SP_ABS_MASK): /* Mask for getting SP absolute value */
|
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.long 0x7fffffff,0x7fffffff
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.long 0x7fffffff,0x7fffffff
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.type L(SP_ABS_MASK), @object
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ASM_SIZE_DIRECTIVE(L(SP_ABS_MASK))
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.p2align 2
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L(SP_ONE):
|
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.long 0x3f800000 /* 1.0 */
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.type L(SP_ONE), @object
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ASM_SIZE_DIRECTIVE(L(SP_ONE))
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weak_alias(__cosf, cosf)
|