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Fix exp10 inaccuracy and exceptions (bugs 13884, 13914).
This commit is contained in:
Joseph Myers
parent
6c23e11c4d
commit
d8b82cad1b
30
ChangeLog
30
ChangeLog
@ -1,5 +1,35 @@
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2012-05-06 Joseph Myers <joseph@codesourcery.com>
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[BZ #13884]
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[BZ #13914]
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* sysdeps/i386/fpu/e_expl.S (IEEE754_EXPL): Define conditional on
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USE_AS_EXP10L.
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(EXPL_FINITE): Likewise.
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(FLDLOG): Likewise.
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(c0): Likewise.
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(c1): Likewise.
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(__ieee754_expl): Change to IEEE754_EXPL. Use FLDLOG macro.
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Adjust comments for base varying.
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(__expl_finite): Change alias to EXPL_FINITE.
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* sysdeps/i386/fpu/e_exp10l.S: Define USE_AS_EXP10L and include
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e_expl.S.
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* sysdeps/ieee754/dbl-64/e_exp10.c: New file.
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* sysdeps/ieee754/ldbl-128/e_exp10l.c: Likewise.
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* sysdeps/ieee754/ldbl-128ibm/e_exp10l.c: Likewise.
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* sysdeps/x86_64/fpu/e_exp10l.S: Likewise.
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* sysdeps/x86_64/fpu/e_expl.S (IEEE754_EXPL): Define conditional on
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USE_AS_EXP10L.
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(EXPL_FINITE): Likewise.
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(FLDLOG): Likewise.
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(c0): Likewise.
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(c1): Likewise.
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(__ieee754_expl): Change to IEEE754_EXPL. Use FLDLOG macro.
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Adjust comments for base varying.
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(__expl_finite): Change alias to EXPL_FINITE.
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* math/libm-test.inc (exp10_test): Add more tests. Do not disable
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tests for bugs.
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* sysdeps/x86_64/fpu/libm-test-ulps: Update.
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[BZ #14064]
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* math/libm-test.inc (check_float_internal): Correct ulp
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calculation for subnormal expected results.
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9
NEWS
9
NEWS
@ -20,10 +20,11 @@ Version 2.16
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13583, 13592, 13618, 13637, 13656, 13658, 13673, 13691, 13695, 13704,
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13705, 13706, 13726, 13738, 13739, 13758, 13760, 13761, 13775, 13786,
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13787, 13792, 13806, 13824, 13840, 13841, 13844, 13846, 13851, 13852,
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13854, 13871, 13872, 13873, 13879, 13883, 13886, 13892, 13895, 13908,
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13910, 13911, 13912, 13913, 13915, 13916, 13917, 13918, 13919, 13920,
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13921, 13922, 13924, 13926, 13927, 13928, 13938, 13941, 13942, 13963,
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13967, 13970, 13973, 14027, 14033, 14034, 14040, 14049, 14055, 14064
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13854, 13871, 13872, 13873, 13879, 13883, 13884, 13886, 13892, 13895,
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13908, 13910, 13911, 13912, 13913, 13914, 13915, 13916, 13917, 13918,
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13919, 13920, 13921, 13922, 13924, 13926, 13927, 13928, 13938, 13941,
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13942, 13963, 13967, 13970, 13973, 14027, 14033, 14034, 14040, 14049,
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14055, 14064
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* ISO C11 support:
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@ -3464,15 +3464,20 @@ exp10_test (void)
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TEST_f_f (exp10, nan_value, nan_value);
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TEST_f_f (exp10, 3, 1000);
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TEST_f_f (exp10, -1, 0.1L);
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#ifdef TEST_FLOAT /* Bug 13884: inaccurate results except for float. */
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TEST_f_f (exp10, 36, 1.0e36L);
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TEST_f_f (exp10, -36, 1.0e-36L);
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#ifndef TEST_FLOAT
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TEST_f_f (exp10, 305, 1.0e305L);
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TEST_f_f (exp10, -305, 1.0e-305L);
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#endif
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#if defined TEST_LDOUBLE && LDBL_MAX_10_EXP >= 4932
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TEST_f_f (exp10, 4932, 1.0e4932L);
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TEST_f_f (exp10, -4932, 1.0e-4932L);
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#endif
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TEST_f_f (exp10, 1e6, plus_infty, OVERFLOW_EXCEPTION);
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TEST_f_f (exp10, -1e6, 0);
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#ifndef TEST_LDOUBLE /* Bug 13914: spurious exceptions. */
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TEST_f_f (exp10, max_value, plus_infty, OVERFLOW_EXCEPTION);
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TEST_f_f (exp10, -max_value, 0);
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#endif
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TEST_f_f (exp10, 0.75L, 5.62341325190349080394951039776481231L);
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END (exp10);
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@ -1,39 +1,2 @@
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/*
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* Written by Ulrich Drepper <drepper@cygnus.com>.
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*/
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#include <machine/asm.h>
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/* 10^x = 2^(x * log2l(10)) */
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ENTRY(__ieee754_exp10l)
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fldt 4(%esp)
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/* I added the following ugly construct because expl(+-Inf) resulted
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in NaN. The ugliness results from the bright minds at Intel.
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For the i686 the code can be written better.
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-- drepper@cygnus.com. */
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fxam /* Is NaN or +-Inf? */
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fstsw %ax
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movb $0x45, %dh
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andb %ah, %dh
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cmpb $0x05, %dh
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je 1f /* Is +-Inf, jump. */
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fldl2t
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fmulp /* x * log2(10) */
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fld %st
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frndint /* int(x * log2(10)) */
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fsubr %st,%st(1) /* fract(x * log2(10)) */
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fxch
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f2xm1 /* 2^(fract(x * log2(10))) - 1 */
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fld1
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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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ret
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1: testl $0x200, %eax /* Test sign. */
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jz 2f /* If positive, jump. */
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fstp %st
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fldz /* Set result to 0. */
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2: ret
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END (__ieee754_exp10l)
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strong_alias (__ieee754_exp10l, __exp10l_finite)
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#define USE_AS_EXP10L
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#include <e_expl.S>
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@ -24,9 +24,29 @@
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#include <machine/asm.h>
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#ifdef USE_AS_EXP10L
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# define IEEE754_EXPL __ieee754_exp10l
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# define EXPL_FINITE __exp10l_finite
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# define FLDLOG fldl2t
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#else
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# define IEEE754_EXPL __ieee754_expl
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# define EXPL_FINITE __expl_finite
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# define FLDLOG fldl2e
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#endif
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.section .rodata.cst16,"aM",@progbits,16
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.p2align 4
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#ifdef USE_AS_EXP10L
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ASM_TYPE_DIRECTIVE(c0,@object)
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c0: .byte 0, 0, 0, 0, 0, 0, 0x9a, 0xd4, 0x00, 0x40
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.byte 0, 0, 0, 0, 0, 0
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ASM_SIZE_DIRECTIVE(c0)
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ASM_TYPE_DIRECTIVE(c1,@object)
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c1: .byte 0x58, 0x92, 0xfc, 0x15, 0x37, 0x9a, 0x97, 0xf0, 0xef, 0x3f
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.byte 0, 0, 0, 0, 0, 0
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ASM_SIZE_DIRECTIVE(c1)
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#else
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ASM_TYPE_DIRECTIVE(c0,@object)
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c0: .byte 0, 0, 0, 0, 0, 0, 0xaa, 0xb8, 0xff, 0x3f
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.byte 0, 0, 0, 0, 0, 0
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@ -35,6 +55,7 @@ c0: .byte 0, 0, 0, 0, 0, 0, 0xaa, 0xb8, 0xff, 0x3f
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c1: .byte 0x20, 0xfa, 0xee, 0xc2, 0x5f, 0x70, 0xa5, 0xec, 0xed, 0x3f
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.byte 0, 0, 0, 0, 0, 0
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ASM_SIZE_DIRECTIVE(c1)
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#endif
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ASM_TYPE_DIRECTIVE(csat,@object)
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csat: .byte 0, 0, 0, 0, 0, 0, 0, 0x80, 0x0e, 0x40
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.byte 0, 0, 0, 0, 0, 0
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@ -47,7 +68,7 @@ csat: .byte 0, 0, 0, 0, 0, 0, 0, 0x80, 0x0e, 0x40
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#endif
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.text
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ENTRY(__ieee754_expl)
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ENTRY(IEEE754_EXPL)
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fldt 4(%esp)
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/* I added the following ugly construct because expl(+-Inf) resulted
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in NaN. The ugliness results from the bright minds at Intel.
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@ -75,8 +96,8 @@ ENTRY(__ieee754_expl)
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andb $2, %ah
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jz 3f
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fchs
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3: fldl2e /* 1 log2(e) */
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fmul %st(1), %st /* 1 x log2(e) */
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3: FLDLOG /* 1 log2(base) */
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fmul %st(1), %st /* 1 x log2(base) */
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frndint /* 1 i */
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fld %st(1) /* 2 x */
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frndint /* 2 xi */
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@ -92,11 +113,11 @@ ENTRY(__ieee754_expl)
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fldt MO(c1) /* 4 */
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fmul %st(4), %st /* 4 c1 * x */
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faddp %st, %st(1) /* 3 f = f + c1 * x */
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f2xm1 /* 3 2^(fract(x * log2(e))) - 1 */
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f2xm1 /* 3 2^(fract(x * log2(base))) - 1 */
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fld1 /* 4 1.0 */
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faddp /* 3 2^(fract(x * log2(e))) */
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faddp /* 3 2^(fract(x * log2(base))) */
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fstp %st(1) /* 2 */
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fscale /* 2 scale factor is st(1); e^x */
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fscale /* 2 scale factor is st(1); base^x */
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fstp %st(1) /* 1 */
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fstp %st(1) /* 0 */
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jmp 2f
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@ -105,5 +126,5 @@ ENTRY(__ieee754_expl)
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fstp %st
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fldz /* Set result to 0. */
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2: ret
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END(__ieee754_expl)
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strong_alias (__ieee754_expl, __expl_finite)
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END(IEEE754_EXPL)
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strong_alias (IEEE754_EXPL, EXPL_FINITE)
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48
sysdeps/ieee754/dbl-64/e_exp10.c
Normal file
48
sysdeps/ieee754/dbl-64/e_exp10.c
Normal file
@ -0,0 +1,48 @@
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/* Copyright (C) 2012 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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|
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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 <math.h>
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#include <math_private.h>
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#include <float.h>
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static const double log10_high = 0x2.4d7637p0;
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static const double log10_low = 0x7.6aaa2b05ba95cp-28;
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double
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__ieee754_exp10 (double arg)
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{
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int32_t lx;
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double arg_high, arg_low;
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double exp_high, exp_low;
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if (!__finite (arg))
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return __ieee754_exp (arg);
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if (arg < DBL_MIN_10_EXP - DBL_DIG - 10)
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return DBL_MIN * DBL_MIN;
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else if (arg > DBL_MAX_10_EXP + 1)
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return DBL_MAX * DBL_MAX;
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GET_LOW_WORD (lx, arg);
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lx &= 0xf8000000;
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arg_high = arg;
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SET_LOW_WORD (arg_high, lx);
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arg_low = arg - arg_high;
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exp_high = arg_high * log10_high;
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exp_low = arg_high * log10_low + arg_low * M_LN10;
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return __ieee754_exp (exp_high) * __ieee754_exp (exp_low);
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}
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strong_alias (__ieee754_exp10, __exp10_finite)
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47
sysdeps/ieee754/ldbl-128/e_exp10l.c
Normal file
47
sysdeps/ieee754/ldbl-128/e_exp10l.c
Normal file
@ -0,0 +1,47 @@
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/* Copyright (C) 2012 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
|
||||
License as published by the Free Software Foundation; either
|
||||
version 2.1 of the License, or (at your option) any later version.
|
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|
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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
|
||||
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 <math.h>
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#include <math_private.h>
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#include <float.h>
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static const long double log10_high = 0x2.4d763776aaa2bp0L;
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static const long double log10_low = 0x5.ba95b58ae0b4c28a38a3fb3e7698p-60L;
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long double
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__ieee754_exp10l (long double arg)
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{
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ieee854_long_double_shape_type u;
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long double arg_high, arg_low;
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long double exp_high, exp_low;
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if (!__finitel (arg))
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return __ieee754_expl (arg);
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if (arg < LDBL_MIN_10_EXP - LDBL_DIG - 10)
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return LDBL_MIN * LDBL_MIN;
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else if (arg > LDBL_MAX_10_EXP + 1)
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return LDBL_MAX * LDBL_MAX;
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u.value = arg;
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u.parts64.lsw &= 0xfe00000000000000LL;
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arg_high = u.value;
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arg_low = arg - arg_high;
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exp_high = arg_high * log10_high;
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exp_low = arg_high * log10_low + arg_low * M_LN10l;
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return __ieee754_expl (exp_high) * __ieee754_expl (exp_low);
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}
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strong_alias (__ieee754_exp10l, __exp10l_finite)
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46
sysdeps/ieee754/ldbl-128ibm/e_exp10l.c
Normal file
46
sysdeps/ieee754/ldbl-128ibm/e_exp10l.c
Normal file
@ -0,0 +1,46 @@
|
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/* Copyright (C) 2012 Free Software Foundation, Inc.
|
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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/>. */
|
||||
|
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#include <math.h>
|
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#include <math_private.h>
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#include <float.h>
|
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|
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static const long double log10_high = 0x2.4d763776aaa2cp0L;
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static const long double log10_low = -0xf.a456a4a751f4b3d75c75c04c18p-56L;
|
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|
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long double
|
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__ieee754_exp10l (long double arg)
|
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{
|
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union ibm_extended_long_double u;
|
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long double arg_high, arg_low;
|
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long double exp_high, exp_low;
|
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|
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if (!__finitel (arg))
|
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return __ieee754_expl (arg);
|
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if (arg < LDBL_MIN_10_EXP - LDBL_DIG - 10)
|
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return LDBL_MIN * LDBL_MIN;
|
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else if (arg > LDBL_MAX_10_EXP + 1)
|
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return LDBL_MAX * LDBL_MAX;
|
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|
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u.d = arg;
|
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arg_high = u.dd[0];
|
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arg_low = u.dd[1];
|
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exp_high = arg_high * log10_high;
|
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exp_low = arg_high * log10_low + arg_low * M_LN10l;
|
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return __ieee754_expl (exp_high) * __ieee754_expl (exp_low);
|
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}
|
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strong_alias (__ieee754_exp10l, __exp10l_finite)
|
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2
sysdeps/x86_64/fpu/e_exp10l.S
Normal file
2
sysdeps/x86_64/fpu/e_exp10l.S
Normal file
@ -0,0 +1,2 @@
|
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#define USE_AS_EXP10L
|
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#include <e_expl.S>
|
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@ -24,9 +24,29 @@
|
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|
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#include <machine/asm.h>
|
||||
|
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#ifdef USE_AS_EXP10L
|
||||
# define IEEE754_EXPL __ieee754_exp10l
|
||||
# define EXPL_FINITE __exp10l_finite
|
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# define FLDLOG fldl2t
|
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#else
|
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# define IEEE754_EXPL __ieee754_expl
|
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# define EXPL_FINITE __expl_finite
|
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# define FLDLOG fldl2e
|
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#endif
|
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|
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.section .rodata.cst16,"aM",@progbits,16
|
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|
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.p2align 4
|
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#ifdef USE_AS_EXP10L
|
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ASM_TYPE_DIRECTIVE(c0,@object)
|
||||
c0: .byte 0, 0, 0, 0, 0, 0, 0x9a, 0xd4, 0x00, 0x40
|
||||
.byte 0, 0, 0, 0, 0, 0
|
||||
ASM_SIZE_DIRECTIVE(c0)
|
||||
ASM_TYPE_DIRECTIVE(c1,@object)
|
||||
c1: .byte 0x58, 0x92, 0xfc, 0x15, 0x37, 0x9a, 0x97, 0xf0, 0xef, 0x3f
|
||||
.byte 0, 0, 0, 0, 0, 0
|
||||
ASM_SIZE_DIRECTIVE(c1)
|
||||
#else
|
||||
ASM_TYPE_DIRECTIVE(c0,@object)
|
||||
c0: .byte 0, 0, 0, 0, 0, 0, 0xaa, 0xb8, 0xff, 0x3f
|
||||
.byte 0, 0, 0, 0, 0, 0
|
||||
@ -35,6 +55,7 @@ c0: .byte 0, 0, 0, 0, 0, 0, 0xaa, 0xb8, 0xff, 0x3f
|
||||
c1: .byte 0x20, 0xfa, 0xee, 0xc2, 0x5f, 0x70, 0xa5, 0xec, 0xed, 0x3f
|
||||
.byte 0, 0, 0, 0, 0, 0
|
||||
ASM_SIZE_DIRECTIVE(c1)
|
||||
#endif
|
||||
ASM_TYPE_DIRECTIVE(csat,@object)
|
||||
csat: .byte 0, 0, 0, 0, 0, 0, 0, 0x80, 0x0e, 0x40
|
||||
.byte 0, 0, 0, 0, 0, 0
|
||||
@ -47,7 +68,7 @@ csat: .byte 0, 0, 0, 0, 0, 0, 0, 0x80, 0x0e, 0x40
|
||||
#endif
|
||||
|
||||
.text
|
||||
ENTRY(__ieee754_expl)
|
||||
ENTRY(IEEE754_EXPL)
|
||||
fldt 8(%rsp)
|
||||
/* I added the following ugly construct because expl(+-Inf) resulted
|
||||
in NaN. The ugliness results from the bright minds at Intel.
|
||||
@ -72,8 +93,8 @@ ENTRY(__ieee754_expl)
|
||||
andb $2, %ah
|
||||
jz 3f
|
||||
fchs
|
||||
3: fldl2e /* 1 log2(e) */
|
||||
fmul %st(1), %st /* 1 x log2(e) */
|
||||
3: FLDLOG /* 1 log2(base) */
|
||||
fmul %st(1), %st /* 1 x log2(base) */
|
||||
frndint /* 1 i */
|
||||
fld %st(1) /* 2 x */
|
||||
frndint /* 2 xi */
|
||||
@ -89,11 +110,11 @@ ENTRY(__ieee754_expl)
|
||||
fldt MO(c1) /* 4 */
|
||||
fmul %st(4), %st /* 4 c1 * x */
|
||||
faddp %st, %st(1) /* 3 f = f + c1 * x */
|
||||
f2xm1 /* 3 2^(fract(x * log2(e))) - 1 */
|
||||
f2xm1 /* 3 2^(fract(x * log2(base))) - 1 */
|
||||
fld1 /* 4 1.0 */
|
||||
faddp /* 3 2^(fract(x * log2(e))) */
|
||||
faddp /* 3 2^(fract(x * log2(base))) */
|
||||
fstp %st(1) /* 2 */
|
||||
fscale /* 2 scale factor is st(1); e^x */
|
||||
fscale /* 2 scale factor is st(1); base^x */
|
||||
fstp %st(1) /* 1 */
|
||||
fstp %st(1) /* 0 */
|
||||
jmp 2f
|
||||
@ -102,5 +123,5 @@ ENTRY(__ieee754_expl)
|
||||
fstp %st
|
||||
fldz /* Set result to 0. */
|
||||
2: ret
|
||||
END(__ieee754_expl)
|
||||
strong_alias (__ieee754_expl, __expl_finite)
|
||||
END(IEEE754_EXPL)
|
||||
strong_alias (IEEE754_EXPL, EXPL_FINITE)
|
||||
|
||||
@ -1287,6 +1287,12 @@ idouble: 2
|
||||
ifloat: 1
|
||||
ildouble: 1
|
||||
ldouble: 1
|
||||
Test "exp10 (-305) == 1.0e-305":
|
||||
double: 1
|
||||
idouble: 1
|
||||
Test "exp10 (-36) == 1.0e-36":
|
||||
double: 1
|
||||
idouble: 1
|
||||
Test "exp10 (0.75) == 5.62341325190349080394951039776481231":
|
||||
double: 1
|
||||
float: 1
|
||||
@ -1301,6 +1307,9 @@ idouble: 6
|
||||
ifloat: 2
|
||||
ildouble: 8
|
||||
ldouble: 8
|
||||
Test "exp10 (36) == 1.0e36":
|
||||
double: 1
|
||||
idouble: 1
|
||||
|
||||
# exp_downward
|
||||
Test "exp_downward (1) == e":
|
||||
|
||||
Loading…
Reference in New Issue
Block a user