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Avoid excess range in results from i386 exp, hypot, pow functions (bug 18980).
i386 exp, hypot and pow functions can return overflowing and underflowing values with excess range and precision; ; Wilco Dijkstra's patches to make isfinite etc. expand inline cause this pre-existing issue to result in test failures. This patch fixes those functions to avoid excess range and precision in their return values. Appropriate macros are added for the repeated code sequences; in future I'll add more such macros and refactor existing code forcing underflow (with or without also eliminating excess range and precision from the return value) to use such macros. Tested for x86. If, after this patch, you still see x86 libm test failures with excess range or precision, please file bugs in Bugzilla. [BZ #18980] * sysdeps/i386/fpu/i386-math-asm.h (DEFINE_FLT_MIN): New macro. (DEFINE_DBL_MIN): Likewise. (FLT_NARROW_EVAL_UFLOW_NONNEG_NAN): Likewise. (DBL_NARROW_EVAL_UFLOW_NONNEG_NAN): Likewise. (FLT_NARROW_EVAL_UFLOW_NONNEG): Likewise. (DBL_NARROW_EVAL_UFLOW_NONNEG): Likewise. * sysdeps/i386/fpu/e_exp.S: Include <i386-math-asm.h>. (dbl_min): Replace with use of DEFINE_DBL_MIN. (__ieee754_exp): Use DBL_NARROW_EVAL_UFLOW_NONNEG_NAN. (__exp_finite): Use DBL_NARROW_EVAL_UFLOW_NONNEG. * sysdeps/i386/fpu/e_exp10.S: Include <i386-math-asm.h>. (dbl_min): Replace with use of DEFINE_DBL_MIN. (__ieee754_exp10): Use DBL_NARROW_EVAL_UFLOW_NONNEG_NAN. * sysdeps/i386/fpu/e_exp10f.S: Include <i386-math-asm.h>. (flt_min): Replace with use of DEFINE_FLT_MIN. (__ieee754_exp10f): Use FLT_NARROW_EVAL_UFLOW_NONNEG_NAN. * sysdeps/i386/fpu/e_exp2.S: Include <i386-math-asm.h>. (dbl_min): Replace with use of DEFINE_DBL_MIN. (__ieee754_exp2): Use DBL_NARROW_EVAL_UFLOW_NONNEG_NAN. * sysdeps/i386/fpu/e_exp2f.S: Include <i386-math-asm.h>. (flt_min): Replace with use of DEFINE_FLT_MIN. (__ieee754_exp2f): Use FLT_NARROW_EVAL_UFLOW_NONNEG_NAN. * sysdeps/i386/fpu/e_expf.S: Include <i386-math-asm.h>. (flt_min): Replace with use of DEFINE_FLT_MIN. (__ieee754_expf): Use FLT_NARROW_EVAL_UFLOW_NONNEG_NAN. (__expf_finite): Use FLT_NARROW_EVAL_UFLOW_NONNEG. * sysdeps/i386/fpu/e_hypot.S: Include <i386-math-asm.h>. (__ieee754_hypot): Use DBL_NARROW_EVAL. * sysdeps/i386/fpu/e_hypotf.S: Include <i386-math-asm.h>. (__ieee754_hypotf): Use FLT_NARROW_EVAL. * sysdeps/i386/fpu/e_pow.S: Include <i386-math-asm.h>. (__ieee754_pow): Use DBL_NARROW_EVAL. * sysdeps/i386/fpu/e_powf.S: Include <i386-math-asm.h>. (__ieee754_powf): Use FLT_NARROW_EVAL. * sysdeps/i386/i686/fpu/multiarch/e_expf-sse2.S (__ieee754_expf_sse2): Convert double-precision result to single precision. * sysdeps/i386/fpu/libm-test-ulps: Update.
This commit is contained in:
Joseph Myers
parent
1344384b52
commit
6f0f237bf5
42
ChangeLog
42
ChangeLog
@ -1,3 +1,45 @@
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2015-09-18 Joseph Myers <joseph@codesourcery.com>
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[BZ #18980]
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* sysdeps/i386/fpu/i386-math-asm.h (DEFINE_FLT_MIN): New macro.
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(DEFINE_DBL_MIN): Likewise.
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(FLT_NARROW_EVAL_UFLOW_NONNEG_NAN): Likewise.
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(DBL_NARROW_EVAL_UFLOW_NONNEG_NAN): Likewise.
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(FLT_NARROW_EVAL_UFLOW_NONNEG): Likewise.
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(DBL_NARROW_EVAL_UFLOW_NONNEG): Likewise.
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* sysdeps/i386/fpu/e_exp.S: Include <i386-math-asm.h>.
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(dbl_min): Replace with use of DEFINE_DBL_MIN.
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(__ieee754_exp): Use DBL_NARROW_EVAL_UFLOW_NONNEG_NAN.
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(__exp_finite): Use DBL_NARROW_EVAL_UFLOW_NONNEG.
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* sysdeps/i386/fpu/e_exp10.S: Include <i386-math-asm.h>.
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(dbl_min): Replace with use of DEFINE_DBL_MIN.
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(__ieee754_exp10): Use DBL_NARROW_EVAL_UFLOW_NONNEG_NAN.
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* sysdeps/i386/fpu/e_exp10f.S: Include <i386-math-asm.h>.
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(flt_min): Replace with use of DEFINE_FLT_MIN.
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(__ieee754_exp10f): Use FLT_NARROW_EVAL_UFLOW_NONNEG_NAN.
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* sysdeps/i386/fpu/e_exp2.S: Include <i386-math-asm.h>.
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(dbl_min): Replace with use of DEFINE_DBL_MIN.
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(__ieee754_exp2): Use DBL_NARROW_EVAL_UFLOW_NONNEG_NAN.
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* sysdeps/i386/fpu/e_exp2f.S: Include <i386-math-asm.h>.
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(flt_min): Replace with use of DEFINE_FLT_MIN.
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(__ieee754_exp2f): Use FLT_NARROW_EVAL_UFLOW_NONNEG_NAN.
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* sysdeps/i386/fpu/e_expf.S: Include <i386-math-asm.h>.
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(flt_min): Replace with use of DEFINE_FLT_MIN.
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(__ieee754_expf): Use FLT_NARROW_EVAL_UFLOW_NONNEG_NAN.
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(__expf_finite): Use FLT_NARROW_EVAL_UFLOW_NONNEG.
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* sysdeps/i386/fpu/e_hypot.S: Include <i386-math-asm.h>.
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(__ieee754_hypot): Use DBL_NARROW_EVAL.
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* sysdeps/i386/fpu/e_hypotf.S: Include <i386-math-asm.h>.
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(__ieee754_hypotf): Use FLT_NARROW_EVAL.
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* sysdeps/i386/fpu/e_pow.S: Include <i386-math-asm.h>.
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(__ieee754_pow): Use DBL_NARROW_EVAL.
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* sysdeps/i386/fpu/e_powf.S: Include <i386-math-asm.h>.
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(__ieee754_powf): Use FLT_NARROW_EVAL.
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* sysdeps/i386/i686/fpu/multiarch/e_expf-sse2.S
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(__ieee754_expf_sse2): Convert double-precision result to single
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precision.
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* sysdeps/i386/fpu/libm-test-ulps: Update.
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2015-09-18 Wilco Dijkstra <wdijkstr@arm.com>
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* timezone/Makefile: Ignore unused variable errors due to private.h
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2
NEWS
2
NEWS
@ -16,7 +16,7 @@ Version 2.23
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18647, 18661, 18674, 18675, 18681, 18757, 18778, 18781, 18787, 18789,
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18790, 18795, 18796, 18820, 18823, 18824, 18857, 18863, 18870, 18872,
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18873, 18875, 18887, 18921, 18951, 18952, 18961, 18966, 18967, 18970,
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18977, 18981.
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18977, 18980, 18981.
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* The obsolete header <regexp.h> has been removed. Programs that require
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this header must be updated to use <regex.h> instead.
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@ -4,13 +4,9 @@
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*/
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#include <machine/asm.h>
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#include <i386-math-asm.h>
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.section .rodata.cst8,"aM",@progbits,8
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.p2align 3
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.type dbl_min,@object
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dbl_min: .byte 0, 0, 0, 0, 0, 0, 0x10, 0
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ASM_SIZE_DIRECTIVE(dbl_min)
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DEFINE_DBL_MIN
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#ifdef PIC
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# define MO(op) op##@GOTOFF(%ecx)
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@ -46,22 +42,8 @@ ENTRY(__ieee754_exp)
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faddp /* 2^(fract(x * log2(e))) */
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fscale /* e^x */
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fstp %st(1)
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fldl MO(dbl_min)
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fld %st(1)
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fucompp
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fnstsw
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sahf
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jnc 3f
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subl $8, %esp
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cfi_adjust_cfa_offset (8)
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fld %st(0)
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fmul %st(0)
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fstpl (%esp)
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fstpl (%esp)
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fldl (%esp)
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addl $8, %esp
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cfi_adjust_cfa_offset (-8)
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3: ret
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DBL_NARROW_EVAL_UFLOW_NONNEG_NAN
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ret
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1: testl $0x200, %eax /* Test sign. */
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jz 2f /* If positive, jump. */
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@ -86,20 +68,6 @@ ENTRY(__exp_finite)
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faddp /* 2^(fract(x * log2(e))) */
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fscale /* e^x */
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fstp %st(1)
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fldl MO(dbl_min)
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fld %st(1)
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fucompp
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fnstsw
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sahf
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jnc 4f
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subl $8, %esp
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cfi_adjust_cfa_offset (8)
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fld %st(0)
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fmul %st(0)
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fstpl (%esp)
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fstpl (%esp)
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fldl (%esp)
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addl $8, %esp
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cfi_adjust_cfa_offset (-8)
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4: ret
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DBL_NARROW_EVAL_UFLOW_NONNEG
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ret
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END(__exp_finite)
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@ -3,13 +3,9 @@
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*/
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#include <machine/asm.h>
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#include <i386-math-asm.h>
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.section .rodata.cst8,"aM",@progbits,8
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.p2align 3
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.type dbl_min,@object
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dbl_min: .byte 0, 0, 0, 0, 0, 0, 0x10, 0
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ASM_SIZE_DIRECTIVE(dbl_min)
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DEFINE_DBL_MIN
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#ifdef PIC
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# define MO(op) op##@GOTOFF(%ecx)
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@ -45,22 +41,8 @@ ENTRY(__ieee754_exp10)
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faddp /* 2^(fract(x * log2(10))) */
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fscale /* e^x */
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fstp %st(1)
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fldl MO(dbl_min)
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fld %st(1)
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fucompp
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fnstsw
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sahf
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jnc 3f
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subl $8, %esp
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cfi_adjust_cfa_offset (8)
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fld %st(0)
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fmul %st(0)
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fstpl (%esp)
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fstpl (%esp)
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fldl (%esp)
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addl $8, %esp
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cfi_adjust_cfa_offset (-8)
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3: ret
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DBL_NARROW_EVAL_UFLOW_NONNEG_NAN
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ret
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1: testl $0x200, %eax /* Test sign. */
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jz 2f /* If positive, jump. */
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@ -3,13 +3,9 @@
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*/
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#include <machine/asm.h>
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#include <i386-math-asm.h>
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.section .rodata.cst4,"aM",@progbits,4
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.p2align 2
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.type flt_min,@object
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flt_min: .byte 0, 0, 0x80, 0
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ASM_SIZE_DIRECTIVE(flt_min)
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DEFINE_FLT_MIN
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#ifdef PIC
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# define MO(op) op##@GOTOFF(%ecx)
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@ -45,22 +41,8 @@ ENTRY(__ieee754_exp10f)
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faddp /* 2^(fract(x * log2(10))) */
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fscale /* e^x */
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fstp %st(1)
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flds MO(flt_min)
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fld %st(1)
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fucompp
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fnstsw
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sahf
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jnc 3f
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subl $4, %esp
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cfi_adjust_cfa_offset (4)
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fld %st(0)
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fmul %st(0)
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fstps (%esp)
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fstps (%esp)
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flds (%esp)
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addl $4, %esp
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cfi_adjust_cfa_offset (-4)
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3: ret
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FLT_NARROW_EVAL_UFLOW_NONNEG_NAN
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ret
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1: testl $0x200, %eax /* Test sign. */
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jz 2f /* If positive, jump. */
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@ -5,13 +5,9 @@
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*/
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#include <machine/asm.h>
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#include <i386-math-asm.h>
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.section .rodata.cst8,"aM",@progbits,8
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.p2align 3
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.type dbl_min,@object
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dbl_min: .byte 0, 0, 0, 0, 0, 0, 0x10, 0
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ASM_SIZE_DIRECTIVE(dbl_min)
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DEFINE_DBL_MIN
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#ifdef PIC
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# define MO(op) op##@GOTOFF(%ecx)
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@ -44,22 +40,8 @@ ENTRY(__ieee754_exp2)
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faddp /* 2^(fract(x)) */
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fscale /* e^x */
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fstp %st(1)
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fldl MO(dbl_min)
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fld %st(1)
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fucompp
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fnstsw
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sahf
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jnc 3f
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subl $8, %esp
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cfi_adjust_cfa_offset (8)
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fld %st(0)
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fmul %st(0)
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fstpl (%esp)
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fstpl (%esp)
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fldl (%esp)
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addl $8, %esp
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cfi_adjust_cfa_offset (-8)
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3: ret
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DBL_NARROW_EVAL_UFLOW_NONNEG_NAN
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ret
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1: testl $0x200, %eax /* Test sign. */
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jz 2f /* If positive, jump. */
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@ -5,13 +5,9 @@
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*/
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#include <machine/asm.h>
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#include <i386-math-asm.h>
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.section .rodata.cst4,"aM",@progbits,4
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.p2align 2
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.type flt_min,@object
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flt_min: .byte 0, 0, 0x80, 0
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ASM_SIZE_DIRECTIVE(flt_min)
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DEFINE_FLT_MIN
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#ifdef PIC
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# define MO(op) op##@GOTOFF(%ecx)
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@ -44,22 +40,8 @@ ENTRY(__ieee754_exp2f)
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faddp /* 2^(fract(x)) */
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fscale /* e^x */
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fstp %st(1)
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flds MO(flt_min)
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fld %st(1)
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fucompp
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fnstsw
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sahf
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jnc 3f
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subl $4, %esp
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cfi_adjust_cfa_offset (4)
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fld %st(0)
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fmul %st(0)
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fstps (%esp)
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fstps (%esp)
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flds (%esp)
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addl $4, %esp
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cfi_adjust_cfa_offset (-4)
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3: ret
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FLT_NARROW_EVAL_UFLOW_NONNEG_NAN
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ret
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1: testl $0x200, %eax /* Test sign. */
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jz 2f /* If positive, jump. */
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@ -5,13 +5,9 @@
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*/
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#include <machine/asm.h>
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#include <i386-math-asm.h>
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.section .rodata.cst4,"aM",@progbits,4
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.p2align 2
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.type flt_min,@object
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flt_min: .byte 0, 0, 0x80, 0
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ASM_SIZE_DIRECTIVE(flt_min)
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DEFINE_FLT_MIN
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#ifdef PIC
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# define MO(op) op##@GOTOFF(%ecx)
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@ -47,22 +43,8 @@ ENTRY(__ieee754_expf)
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faddp /* 2^(fract(x * log2(e))) */
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fscale /* e^x */
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fstp %st(1)
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flds MO(flt_min)
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fld %st(1)
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fucompp
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fnstsw
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sahf
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jnc 3f
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subl $4, %esp
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cfi_adjust_cfa_offset (4)
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fld %st(0)
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fmul %st(0)
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fstps (%esp)
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fstps (%esp)
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flds (%esp)
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addl $4, %esp
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cfi_adjust_cfa_offset (-4)
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3: ret
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FLT_NARROW_EVAL_UFLOW_NONNEG_NAN
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ret
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1: testl $0x200, %eax /* Test sign. */
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jz 2f /* If positive, jump. */
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@ -87,20 +69,6 @@ ENTRY(__expf_finite)
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faddp /* 2^(fract(x * log2(e))) */
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fscale /* e^x */
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fstp %st(1)
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flds MO(flt_min)
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fld %st(1)
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fucompp
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fnstsw
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sahf
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jnc 4f
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subl $4, %esp
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cfi_adjust_cfa_offset (4)
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fld %st(0)
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fmul %st(0)
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fstps (%esp)
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fstps (%esp)
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flds (%esp)
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addl $4, %esp
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cfi_adjust_cfa_offset (-4)
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4: ret
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FLT_NARROW_EVAL_UFLOW_NONNEG
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ret
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END(__expf_finite)
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<http://www.gnu.org/licenses/>. */
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#include <sysdep.h>
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#include <i386-math-asm.h>
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.text
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ENTRY(__ieee754_hypot)
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@ -37,6 +38,7 @@ ENTRY(__ieee754_hypot)
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fmul %st(0) // x * x : y * y
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faddp // x * x + y * y
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fsqrt
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DBL_NARROW_EVAL
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2: ret
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// We have to test whether any of the parameters is Inf.
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<http://www.gnu.org/licenses/>. */
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#include <sysdep.h>
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#include <i386-math-asm.h>
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.text
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ENTRY(__ieee754_hypotf)
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@ -37,6 +38,7 @@ ENTRY(__ieee754_hypotf)
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fmul %st(0) // x * x : y * y
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faddp // x * x + y * y
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||||
fsqrt
|
||||
FLT_NARROW_EVAL
|
||||
2: ret
|
||||
|
||||
// We have to test whether any of the parameters is Inf.
|
||||
|
||||
@ -18,6 +18,7 @@
|
||||
<http://www.gnu.org/licenses/>. */
|
||||
|
||||
#include <machine/asm.h>
|
||||
#include <i386-math-asm.h>
|
||||
|
||||
.section .rodata.cst8,"aM",@progbits,8
|
||||
|
||||
@ -165,6 +166,7 @@ ENTRY(__ieee754_pow)
|
||||
orl %edx, %ecx
|
||||
jnz 6b
|
||||
fstp %st(0) // ST*x
|
||||
DBL_NARROW_EVAL
|
||||
ret
|
||||
|
||||
/* y is ±NAN */
|
||||
@ -257,6 +259,7 @@ ENTRY(__ieee754_pow)
|
||||
cfi_adjust_cfa_offset (-8)
|
||||
292: fscale // +/- 2^fract(y*log2(x))*2^int(y*log2(x)) : int(y*log2(x))
|
||||
fstp %st(1) // +/- 2^fract(y*log2(x))*2^int(y*log2(x))
|
||||
DBL_NARROW_EVAL
|
||||
ret
|
||||
|
||||
|
||||
|
||||
@ -18,6 +18,7 @@
|
||||
<http://www.gnu.org/licenses/>. */
|
||||
|
||||
#include <machine/asm.h>
|
||||
#include <i386-math-asm.h>
|
||||
|
||||
.section .rodata.cst8,"aM",@progbits,8
|
||||
|
||||
@ -148,6 +149,7 @@ ENTRY(__ieee754_powf)
|
||||
testl %edx, %edx
|
||||
jnz 6b
|
||||
fstp %st(0) // ST*x
|
||||
FLT_NARROW_EVAL
|
||||
ret
|
||||
|
||||
/* y is ±NAN */
|
||||
@ -196,6 +198,7 @@ ENTRY(__ieee754_powf)
|
||||
32: addl $4, %esp
|
||||
cfi_adjust_cfa_offset (-4)
|
||||
fstp %st(1) // 2^fract(y*log2(x))*2^int(y*log2(x))
|
||||
FLT_NARROW_EVAL
|
||||
ret
|
||||
|
||||
|
||||
|
||||
@ -36,4 +36,91 @@
|
||||
addl $8, %esp; \
|
||||
cfi_adjust_cfa_offset (-8);
|
||||
|
||||
/* Define constants for the minimum value of a floating-point
|
||||
type. */
|
||||
#define DEFINE_FLT_MIN \
|
||||
.section .rodata.cst4,"aM",@progbits,4; \
|
||||
.p2align 2; \
|
||||
.type flt_min,@object; \
|
||||
flt_min: \
|
||||
.byte 0, 0, 0x80, 0; \
|
||||
.size flt_min, .-flt_min;
|
||||
#define DEFINE_DBL_MIN \
|
||||
.section .rodata.cst8,"aM",@progbits,8; \
|
||||
.p2align 3; \
|
||||
.type dbl_min,@object; \
|
||||
dbl_min: \
|
||||
.byte 0, 0, 0, 0, 0, 0, 0x10, 0; \
|
||||
.size dbl_min, .-dbl_min;
|
||||
|
||||
/* Remove excess range and precision by storing a value on the stack
|
||||
and loading it back. The value is given to be nonnegative or NaN;
|
||||
if it is subnormal, also force an underflow exception. The
|
||||
relevant constant for the minimum of the type must have been
|
||||
defined, the MO macro must have been defined for access to memory
|
||||
operands, and, if PIC, the PIC register must have been loaded. */
|
||||
#define FLT_NARROW_EVAL_UFLOW_NONNEG_NAN \
|
||||
subl $4, %esp; \
|
||||
cfi_adjust_cfa_offset (4); \
|
||||
flds MO(flt_min); \
|
||||
fld %st(1); \
|
||||
fucompp; \
|
||||
fnstsw; \
|
||||
sahf; \
|
||||
jnc 6424f; \
|
||||
fld %st(0); \
|
||||
fmul %st(0); \
|
||||
fstps (%esp); \
|
||||
6424: fstps (%esp); \
|
||||
flds (%esp); \
|
||||
addl $4, %esp; \
|
||||
cfi_adjust_cfa_offset (-4);
|
||||
#define DBL_NARROW_EVAL_UFLOW_NONNEG_NAN \
|
||||
subl $8, %esp; \
|
||||
cfi_adjust_cfa_offset (8); \
|
||||
fldl MO(dbl_min); \
|
||||
fld %st(1); \
|
||||
fucompp; \
|
||||
fnstsw; \
|
||||
sahf; \
|
||||
jnc 6453f; \
|
||||
fld %st(0); \
|
||||
fmul %st(0); \
|
||||
fstpl (%esp); \
|
||||
6453: fstpl (%esp); \
|
||||
fldl (%esp); \
|
||||
addl $8, %esp; \
|
||||
cfi_adjust_cfa_offset (-8);
|
||||
|
||||
/* Likewise, but the argument is not a NaN (so fcom instructions,
|
||||
which support memory operands, can be used). */
|
||||
#define FLT_NARROW_EVAL_UFLOW_NONNEG \
|
||||
subl $4, %esp; \
|
||||
cfi_adjust_cfa_offset (4); \
|
||||
fcoms MO(flt_min); \
|
||||
fnstsw; \
|
||||
sahf; \
|
||||
jnc 6424f; \
|
||||
fld %st(0); \
|
||||
fmul %st(0); \
|
||||
fstps (%esp); \
|
||||
6424: fstps (%esp); \
|
||||
flds (%esp); \
|
||||
addl $4, %esp; \
|
||||
cfi_adjust_cfa_offset (-4);
|
||||
#define DBL_NARROW_EVAL_UFLOW_NONNEG \
|
||||
subl $8, %esp; \
|
||||
cfi_adjust_cfa_offset (8); \
|
||||
fcoml MO(dbl_min); \
|
||||
fnstsw; \
|
||||
sahf; \
|
||||
jnc 6453f; \
|
||||
fld %st(0); \
|
||||
fmul %st(0); \
|
||||
fstpl (%esp); \
|
||||
6453: fstpl (%esp); \
|
||||
fldl (%esp); \
|
||||
addl $8, %esp; \
|
||||
cfi_adjust_cfa_offset (-8);
|
||||
|
||||
#endif /* i386-math-asm.h. */
|
||||
|
||||
@ -238,9 +238,9 @@ ildouble: 2
|
||||
ldouble: 2
|
||||
|
||||
Function: Imaginary part of "cacos_downward":
|
||||
double: 3
|
||||
double: 4
|
||||
float: 3
|
||||
idouble: 3
|
||||
idouble: 4
|
||||
ifloat: 3
|
||||
ildouble: 5
|
||||
ldouble: 5
|
||||
@ -254,9 +254,9 @@ ildouble: 2
|
||||
ldouble: 2
|
||||
|
||||
Function: Imaginary part of "cacos_towardzero":
|
||||
double: 3
|
||||
double: 4
|
||||
float: 3
|
||||
idouble: 3
|
||||
idouble: 4
|
||||
ifloat: 3
|
||||
ildouble: 5
|
||||
ldouble: 5
|
||||
@ -294,9 +294,9 @@ ildouble: 1
|
||||
ldouble: 1
|
||||
|
||||
Function: Real part of "cacosh_downward":
|
||||
double: 3
|
||||
double: 4
|
||||
float: 3
|
||||
idouble: 3
|
||||
idouble: 4
|
||||
ifloat: 3
|
||||
ildouble: 5
|
||||
ldouble: 5
|
||||
@ -310,9 +310,9 @@ ildouble: 2
|
||||
ldouble: 2
|
||||
|
||||
Function: Real part of "cacosh_towardzero":
|
||||
double: 3
|
||||
double: 4
|
||||
float: 3
|
||||
idouble: 3
|
||||
idouble: 4
|
||||
ifloat: 3
|
||||
ildouble: 5
|
||||
ldouble: 5
|
||||
@ -396,9 +396,9 @@ ildouble: 2
|
||||
ldouble: 2
|
||||
|
||||
Function: Imaginary part of "casin_downward":
|
||||
double: 3
|
||||
double: 4
|
||||
float: 3
|
||||
idouble: 3
|
||||
idouble: 4
|
||||
ifloat: 3
|
||||
ildouble: 5
|
||||
ldouble: 5
|
||||
@ -412,9 +412,9 @@ ildouble: 2
|
||||
ldouble: 2
|
||||
|
||||
Function: Imaginary part of "casin_towardzero":
|
||||
double: 3
|
||||
double: 4
|
||||
float: 3
|
||||
idouble: 3
|
||||
idouble: 4
|
||||
ifloat: 3
|
||||
ildouble: 5
|
||||
ldouble: 5
|
||||
@ -452,9 +452,9 @@ ildouble: 1
|
||||
ldouble: 1
|
||||
|
||||
Function: Real part of "casinh_downward":
|
||||
double: 3
|
||||
double: 4
|
||||
float: 3
|
||||
idouble: 3
|
||||
idouble: 4
|
||||
ifloat: 3
|
||||
ildouble: 5
|
||||
ldouble: 5
|
||||
@ -468,9 +468,9 @@ ildouble: 2
|
||||
ldouble: 2
|
||||
|
||||
Function: Real part of "casinh_towardzero":
|
||||
double: 3
|
||||
double: 4
|
||||
float: 3
|
||||
idouble: 3
|
||||
idouble: 4
|
||||
ifloat: 3
|
||||
ildouble: 5
|
||||
ldouble: 5
|
||||
@ -668,10 +668,10 @@ ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Imaginary part of "ccos_downward":
|
||||
double: 2
|
||||
float: 2
|
||||
idouble: 2
|
||||
ifloat: 2
|
||||
double: 3
|
||||
float: 3
|
||||
idouble: 3
|
||||
ifloat: 3
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
@ -684,25 +684,25 @@ ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Imaginary part of "ccos_towardzero":
|
||||
double: 2
|
||||
float: 2
|
||||
idouble: 2
|
||||
ifloat: 2
|
||||
double: 3
|
||||
float: 3
|
||||
idouble: 3
|
||||
ifloat: 3
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Real part of "ccos_upward":
|
||||
double: 1
|
||||
float: 1
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
double: 2
|
||||
float: 2
|
||||
idouble: 2
|
||||
ifloat: 2
|
||||
ildouble: 2
|
||||
ldouble: 2
|
||||
|
||||
Function: Imaginary part of "ccos_upward":
|
||||
double: 1
|
||||
double: 2
|
||||
float: 2
|
||||
idouble: 1
|
||||
idouble: 2
|
||||
ifloat: 2
|
||||
ildouble: 2
|
||||
ldouble: 2
|
||||
@ -725,93 +725,85 @@ ldouble: 1
|
||||
|
||||
Function: Real part of "ccosh_downward":
|
||||
double: 1
|
||||
float: 1
|
||||
float: 2
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
ifloat: 2
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Imaginary part of "ccosh_downward":
|
||||
double: 2
|
||||
float: 2
|
||||
idouble: 2
|
||||
ifloat: 2
|
||||
double: 3
|
||||
float: 3
|
||||
idouble: 3
|
||||
ifloat: 3
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Real part of "ccosh_towardzero":
|
||||
double: 1
|
||||
float: 1
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Imaginary part of "ccosh_towardzero":
|
||||
double: 2
|
||||
float: 2
|
||||
idouble: 2
|
||||
idouble: 1
|
||||
ifloat: 2
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Imaginary part of "ccosh_towardzero":
|
||||
double: 3
|
||||
float: 3
|
||||
idouble: 3
|
||||
ifloat: 3
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Real part of "ccosh_upward":
|
||||
double: 1
|
||||
float: 1
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
double: 2
|
||||
float: 2
|
||||
idouble: 2
|
||||
ifloat: 2
|
||||
ildouble: 2
|
||||
ldouble: 2
|
||||
|
||||
Function: Imaginary part of "ccosh_upward":
|
||||
double: 1
|
||||
double: 3
|
||||
float: 2
|
||||
idouble: 1
|
||||
idouble: 3
|
||||
ifloat: 2
|
||||
ildouble: 2
|
||||
ldouble: 2
|
||||
|
||||
Function: Real part of "cexp":
|
||||
double: 1
|
||||
double: 2
|
||||
float: 1
|
||||
idouble: 1
|
||||
idouble: 2
|
||||
ifloat: 1
|
||||
ildouble: 1
|
||||
ldouble: 1
|
||||
|
||||
Function: Imaginary part of "cexp":
|
||||
double: 1
|
||||
float: 1
|
||||
float: 2
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
ifloat: 2
|
||||
ildouble: 1
|
||||
ldouble: 1
|
||||
|
||||
Function: Real part of "cexp_downward":
|
||||
double: 1
|
||||
float: 1
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
double: 2
|
||||
float: 2
|
||||
idouble: 2
|
||||
ifloat: 2
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Imaginary part of "cexp_downward":
|
||||
double: 2
|
||||
float: 2
|
||||
idouble: 2
|
||||
ifloat: 2
|
||||
double: 3
|
||||
float: 3
|
||||
idouble: 3
|
||||
ifloat: 3
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Real part of "cexp_towardzero":
|
||||
double: 1
|
||||
float: 1
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Imaginary part of "cexp_towardzero":
|
||||
double: 2
|
||||
float: 2
|
||||
idouble: 2
|
||||
@ -819,19 +811,27 @@ ifloat: 2
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Imaginary part of "cexp_towardzero":
|
||||
double: 3
|
||||
float: 3
|
||||
idouble: 3
|
||||
ifloat: 3
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Real part of "cexp_upward":
|
||||
double: 1
|
||||
float: 1
|
||||
float: 2
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
ifloat: 2
|
||||
ildouble: 2
|
||||
ldouble: 2
|
||||
|
||||
Function: Imaginary part of "cexp_upward":
|
||||
double: 1
|
||||
float: 1
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
double: 3
|
||||
float: 2
|
||||
idouble: 3
|
||||
ifloat: 2
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
@ -983,27 +983,30 @@ ldouble: 2
|
||||
|
||||
Function: "cosh":
|
||||
double: 1
|
||||
float: 1
|
||||
idouble: 1
|
||||
ildouble: 2
|
||||
ldouble: 2
|
||||
|
||||
Function: "cosh_downward":
|
||||
double: 1
|
||||
double: 2
|
||||
float: 1
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
ildouble: 2
|
||||
ldouble: 3
|
||||
|
||||
Function: "cosh_towardzero":
|
||||
double: 1
|
||||
double: 2
|
||||
float: 1
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
ildouble: 2
|
||||
ldouble: 2
|
||||
|
||||
Function: "cosh_upward":
|
||||
double: 1
|
||||
float: 1
|
||||
double: 4
|
||||
float: 2
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
ildouble: 2
|
||||
@ -1019,9 +1022,9 @@ ldouble: 3
|
||||
|
||||
Function: Imaginary part of "cpow":
|
||||
double: 1
|
||||
float: 1
|
||||
float: 2
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
ifloat: 2
|
||||
ildouble: 4
|
||||
ldouble: 4
|
||||
|
||||
@ -1034,10 +1037,10 @@ ildouble: 7
|
||||
ldouble: 7
|
||||
|
||||
Function: Imaginary part of "cpow_downward":
|
||||
double: 1
|
||||
float: 1
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
double: 2
|
||||
float: 2
|
||||
idouble: 2
|
||||
ifloat: 2
|
||||
ildouble: 2
|
||||
ldouble: 2
|
||||
|
||||
@ -1050,10 +1053,10 @@ ildouble: 7
|
||||
ldouble: 7
|
||||
|
||||
Function: Imaginary part of "cpow_towardzero":
|
||||
double: 1
|
||||
float: 1
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
double: 2
|
||||
float: 2
|
||||
idouble: 2
|
||||
ifloat: 2
|
||||
ildouble: 1
|
||||
ldouble: 1
|
||||
|
||||
@ -1067,9 +1070,9 @@ ldouble: 2
|
||||
|
||||
Function: Imaginary part of "cpow_upward":
|
||||
double: 1
|
||||
float: 1
|
||||
float: 2
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
ifloat: 2
|
||||
ildouble: 2
|
||||
ldouble: 2
|
||||
|
||||
@ -1088,10 +1091,10 @@ idouble: 1
|
||||
ifloat: 1
|
||||
|
||||
Function: Real part of "csin_downward":
|
||||
double: 2
|
||||
float: 2
|
||||
idouble: 2
|
||||
ifloat: 2
|
||||
double: 3
|
||||
float: 3
|
||||
idouble: 3
|
||||
ifloat: 3
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
@ -1104,10 +1107,10 @@ ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Real part of "csin_towardzero":
|
||||
double: 2
|
||||
float: 2
|
||||
idouble: 2
|
||||
ifloat: 2
|
||||
double: 3
|
||||
float: 3
|
||||
idouble: 3
|
||||
ifloat: 3
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
@ -1120,9 +1123,9 @@ ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Real part of "csin_upward":
|
||||
double: 1
|
||||
double: 3
|
||||
float: 2
|
||||
idouble: 1
|
||||
idouble: 3
|
||||
ifloat: 2
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
@ -1160,10 +1163,10 @@ ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Imaginary part of "csinh_downward":
|
||||
double: 2
|
||||
float: 2
|
||||
idouble: 2
|
||||
ifloat: 2
|
||||
double: 3
|
||||
float: 3
|
||||
idouble: 3
|
||||
ifloat: 3
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
@ -1176,10 +1179,10 @@ ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Imaginary part of "csinh_towardzero":
|
||||
double: 2
|
||||
float: 2
|
||||
idouble: 2
|
||||
ifloat: 2
|
||||
double: 3
|
||||
float: 3
|
||||
idouble: 3
|
||||
ifloat: 3
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
@ -1192,9 +1195,9 @@ ildouble: 3
|
||||
ldouble: 3
|
||||
|
||||
Function: Imaginary part of "csinh_upward":
|
||||
double: 1
|
||||
double: 3
|
||||
float: 2
|
||||
idouble: 1
|
||||
idouble: 3
|
||||
ifloat: 2
|
||||
ildouble: 3
|
||||
ldouble: 3
|
||||
@ -1207,7 +1210,9 @@ ldouble: 2
|
||||
|
||||
Function: Imaginary part of "csqrt":
|
||||
double: 1
|
||||
float: 1
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
ildouble: 2
|
||||
ldouble: 2
|
||||
|
||||
@ -1253,9 +1258,9 @@ ldouble: 5
|
||||
|
||||
Function: Imaginary part of "csqrt_upward":
|
||||
double: 1
|
||||
float: 1
|
||||
float: 2
|
||||
idouble: 1
|
||||
ifloat: 1
|
||||
ifloat: 2
|
||||
ildouble: 4
|
||||
ldouble: 4
|
||||
|
||||
@ -1429,9 +1434,9 @@ ldouble: 3
|
||||
|
||||
Function: "erfc_downward":
|
||||
double: 2
|
||||
float: 2
|
||||
float: 3
|
||||
idouble: 2
|
||||
ifloat: 2
|
||||
ifloat: 3
|
||||
ildouble: 4
|
||||
ldouble: 4
|
||||
|
||||
@ -1445,9 +1450,9 @@ ldouble: 4
|
||||
|
||||
Function: "erfc_upward":
|
||||
double: 2
|
||||
float: 2
|
||||
float: 3
|
||||
idouble: 2
|
||||
ifloat: 2
|
||||
ifloat: 3
|
||||
ildouble: 5
|
||||
ldouble: 5
|
||||
|
||||
|
||||
@ -113,11 +113,12 @@ ENTRY(__ieee754_expf_sse2)
|
||||
mulsd MO2(DP_T,%eax,8), %xmm0 /* DP P(y)*T[j] */
|
||||
addsd MO2(DP_T,%eax,8), %xmm0 /* DP T[j]*(P(y)+1) */
|
||||
mulsd %xmm1, %xmm0 /* DP result=2^n*(T[j]*(P(y)+1)) */
|
||||
cvtsd2ss %xmm0, %xmm1
|
||||
|
||||
lea -8(%esp), %esp /* Borrow 8 bytes of stack frame */
|
||||
movsd %xmm0, 0(%esp) /* Move result from sse... */
|
||||
fldl 0(%esp) /* ...to FPU. */
|
||||
lea 8(%esp), %esp /* Return back 8 bytes of stack frame */
|
||||
lea -4(%esp), %esp /* Borrow 4 bytes of stack frame */
|
||||
movss %xmm1, 0(%esp) /* Move result from sse... */
|
||||
flds 0(%esp) /* ...to FPU. */
|
||||
lea 4(%esp), %esp /* Return back 4 bytes of stack frame */
|
||||
ret
|
||||
|
||||
.p2align 4
|
||||
|
||||
Loading…
Reference in New Issue
Block a user