Fix casinh, casin overflow (bug 14996).
This commit is contained in:
Joseph Myers
parent
afec409af9
commit
a9708fed77
18
ChangeLog
18
ChangeLog
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@ -1,3 +1,21 @@
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2013-01-07 Joseph Myers <joseph@codesourcery.com>
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[BZ #14996]
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* math/s_casinh.c: Include <float.h>.
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(__casinh): Do not do computation with squaring and square root
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for large arguments.
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* math/s_casinhf.c: Include <float.h>.
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(__casinhf): Do not do computation with squaring and square root
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for large arguments.
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* math/s_casinhl.c: Include <float.h>.
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[LDBL_MANT_DIG == 106] (LDBL_EPSILON): Undefine and redefine.
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(__casinhl): Do not do computation with squaring and square root
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for large arguments.
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* math/libm-test.inc (casin_test): Add more tests.
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(casinh_test): Likewise.
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* sysdeps/i386/fpu/libm-test-ulps: Update.
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* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
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2013-01-04 H.J. Lu <hongjiu.lu@intel.com>
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* sysdeps/i386/i686/cacheinfo.c (__x86_64_data_cache_size): Removed.
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2
NEWS
2
NEWS
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@ -9,7 +9,7 @@ Version 2.18
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* The following bugs are resolved with this release:
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13951, 14317, 14981, 14982, 14994.
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13951, 14317, 14981, 14982, 14994, 14996.
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Version 2.17
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@ -1727,6 +1727,14 @@ casin_test (void)
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TEST_c_c (casin, -1.0L, -0x1p5000L, -7.079811261048172892385615158694057552948e-1506L, -3.466429049980286492395577839412341016946e3L);
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#endif
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TEST_c_c (casin, 0x1.fp127L, 0x1.fp127L, 7.853981633974483096156608458198757210493e-1L, 8.973081118419833726837456344608533993585e1L);
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#ifndef TEST_FLOAT
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TEST_c_c (casin, 0x1.fp1023L, 0x1.fp1023L, 7.853981633974483096156608458198757210493e-1L, 7.107906849659093345062145442726115449315e2L);
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#endif
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#if defined TEST_LDOUBLE && LDBL_MAX_EXP >= 16384
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TEST_c_c (casin, 0x1.fp16383L, 0x1.fp16383L, 7.853981633974483096156608458198757210493e-1L, 1.135753137836666928715489992987020363057e4L);
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#endif
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TEST_c_c (casin, 0.75L, 1.25L, 0.453276177638793913448921196101971749L, 1.13239363160530819522266333696834467L);
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TEST_c_c (casin, -2, -3, -0.57065278432109940071028387968566963L, -1.9833870299165354323470769028940395L);
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@ -1846,6 +1854,14 @@ casinh_test (void)
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TEST_c_c (casinh, -1.0L, -0x1p5000L, -3.466429049980286492395577839412341016946e3L, -1.570796326794896619231321691639751442099L);
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#endif
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TEST_c_c (casinh, 0x1.fp127L, 0x1.fp127L, 8.973081118419833726837456344608533993585e1L, 7.853981633974483096156608458198757210493e-1L);
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#ifndef TEST_FLOAT
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TEST_c_c (casinh, 0x1.fp1023L, 0x1.fp1023L, 7.107906849659093345062145442726115449315e2L, 7.853981633974483096156608458198757210493e-1L);
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#endif
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#if defined TEST_LDOUBLE && LDBL_MAX_EXP >= 16384
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TEST_c_c (casinh, 0x1.fp16383L, 0x1.fp16383L, 1.135753137836666928715489992987020363057e4L, 7.853981633974483096156608458198757210493e-1L);
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#endif
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TEST_c_c (casinh, 0.75L, 1.25L, 1.03171853444778027336364058631006594L, 0.911738290968487636358489564316731207L);
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TEST_c_c (casinh, -2, -3, -1.9686379257930962917886650952454982L, -0.96465850440760279204541105949953237L);
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@ -20,7 +20,7 @@
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#include <complex.h>
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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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__complex__ double
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__casinh (__complex__ double x)
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@ -69,15 +69,29 @@ __casinh (__complex__ double x)
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rx = fabs (__real__ x);
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ix = fabs (__imag__ x);
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__real__ y = (rx - ix) * (rx + ix) + 1.0;
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__imag__ y = 2.0 * rx * ix;
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if (rx >= 1.0 / DBL_EPSILON || ix >= 1.0 / DBL_EPSILON)
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{
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/* For large x in the first quadrant, x + csqrt (1 + x * x)
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is sufficiently close to 2 * x to make no significant
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difference to the result; avoid possible overflow from
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the squaring and addition. */
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__real__ y = rx;
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__imag__ y = ix;
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res = __clog (y);
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__real__ res += M_LN2;
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}
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else
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{
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__real__ y = (rx - ix) * (rx + ix) + 1.0;
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__imag__ y = 2.0 * rx * ix;
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y = __csqrt (y);
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y = __csqrt (y);
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__real__ y += rx;
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__imag__ y += ix;
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__real__ y += rx;
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__imag__ y += ix;
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res = __clog (y);
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res = __clog (y);
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}
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/* Give results the correct sign for the original argument. */
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__real__ res = __copysign (__real__ res, __real__ x);
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@ -20,7 +20,7 @@
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#include <complex.h>
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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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__complex__ float
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__casinhf (__complex__ float x)
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@ -69,15 +69,29 @@ __casinhf (__complex__ float x)
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rx = fabsf (__real__ x);
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ix = fabsf (__imag__ x);
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__real__ y = (rx - ix) * (rx + ix) + 1.0;
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__imag__ y = 2.0 * rx * ix;
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if (rx >= 1.0f / FLT_EPSILON || ix >= 1.0f / FLT_EPSILON)
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{
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/* For large x in the first quadrant, x + csqrt (1 + x * x)
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is sufficiently close to 2 * x to make no significant
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difference to the result; avoid possible overflow from
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the squaring and addition. */
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__real__ y = rx;
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__imag__ y = ix;
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res = __clogf (y);
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__real__ res += (float) M_LN2;
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}
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else
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{
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__real__ y = (rx - ix) * (rx + ix) + 1.0;
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__imag__ y = 2.0 * rx * ix;
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y = __csqrtf (y);
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y = __csqrtf (y);
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__real__ y += rx;
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__imag__ y += ix;
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__real__ y += rx;
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__imag__ y += ix;
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res = __clogf (y);
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res = __clogf (y);
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}
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/* Give results the correct sign for the original argument. */
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__real__ res = __copysignf (__real__ res, __real__ x);
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@ -20,7 +20,14 @@
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#include <complex.h>
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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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/* To avoid spurious overflows, use this definition to treat IBM long
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double as approximating an IEEE-style format. */
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#if LDBL_MANT_DIG == 106
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# undef LDBL_EPSILON
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# define LDBL_EPSILON 0x1p-106L
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#endif
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__complex__ long double
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__casinhl (__complex__ long double x)
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@ -69,15 +76,29 @@ __casinhl (__complex__ long double x)
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rx = fabsl (__real__ x);
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ix = fabsl (__imag__ x);
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__real__ y = (rx - ix) * (rx + ix) + 1.0;
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__imag__ y = 2.0 * rx * ix;
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if (rx >= 1.0L / LDBL_EPSILON || ix >= 1.0L / LDBL_EPSILON)
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{
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/* For large x in the first quadrant, x + csqrt (1 + x * x)
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is sufficiently close to 2 * x to make no significant
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difference to the result; avoid possible overflow from
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the squaring and addition. */
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__real__ y = rx;
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__imag__ y = ix;
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res = __clogl (y);
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__real__ res += M_LN2l;
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}
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else
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{
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__real__ y = (rx - ix) * (rx + ix) + 1.0;
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__imag__ y = 2.0 * rx * ix;
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y = __csqrtl (y);
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y = __csqrtl (y);
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__real__ y += rx;
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__imag__ y += ix;
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__real__ y += rx;
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__imag__ y += ix;
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res = __clogl (y);
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res = __clogl (y);
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}
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/* Give results the correct sign for the original argument. */
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__real__ res = __copysignl (__real__ res, __real__ x);
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@ -518,6 +518,12 @@ float: 1
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ifloat: 1
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ildouble: 2
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ldouble: 2
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Test "Imaginary part of: casin (0x1.fp1023 + 0x1.fp1023 i) == 7.853981633974483096156608458198757210493e-1 + 7.107906849659093345062145442726115449315e2 i":
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double: 1
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idouble: 1
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Test "Imaginary part of: casin (0x1.fp127 + 0x1.fp127 i) == 7.853981633974483096156608458198757210493e-1 + 8.973081118419833726837456344608533993585e1 i":
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double: 1
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idouble: 1
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Test "Imaginary part of: casin (1.5 + +0 i) == pi/2 + 0.9624236501192068949955178268487368462704 i":
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double: 1
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float: 1
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@ -626,6 +632,12 @@ idouble: 1
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ifloat: 1
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ildouble: 1
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ldouble: 1
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Test "Real part of: casinh (0x1.fp1023 + 0x1.fp1023 i) == 7.107906849659093345062145442726115449315e2 + 7.853981633974483096156608458198757210493e-1 i":
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double: 1
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idouble: 1
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Test "Real part of: casinh (0x1.fp127 + 0x1.fp127 i) == 8.973081118419833726837456344608533993585e1 + 7.853981633974483096156608458198757210493e-1 i":
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double: 1
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idouble: 1
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Test "Real part of: casinh (1.0 + +0 i) == 0.8813735870195430252326093249797923090282 + +0 i":
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double: 1
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float: 1
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@ -467,6 +467,12 @@ float: 1
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ifloat: 1
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ildouble: 2
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ldouble: 2
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Test "Imaginary part of: casin (0x1.fp1023 + 0x1.fp1023 i) == 7.853981633974483096156608458198757210493e-1 + 7.107906849659093345062145442726115449315e2 i":
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double: 1
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idouble: 1
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Test "Imaginary part of: casin (0x1.fp127 + 0x1.fp127 i) == 7.853981633974483096156608458198757210493e-1 + 8.973081118419833726837456344608533993585e1 i":
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double: 1
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idouble: 1
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Test "Imaginary part of: casin (1.5 + +0 i) == pi/2 + 0.9624236501192068949955178268487368462704 i":
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double: 1
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float: 1
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@ -571,6 +577,12 @@ idouble: 1
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ifloat: 1
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ildouble: 1
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ldouble: 1
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Test "Real part of: casinh (0x1.fp1023 + 0x1.fp1023 i) == 7.107906849659093345062145442726115449315e2 + 7.853981633974483096156608458198757210493e-1 i":
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double: 1
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idouble: 1
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Test "Real part of: casinh (0x1.fp127 + 0x1.fp127 i) == 8.973081118419833726837456344608533993585e1 + 7.853981633974483096156608458198757210493e-1 i":
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double: 1
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idouble: 1
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Test "Real part of: casinh (1.0 + +0 i) == 0.8813735870195430252326093249797923090282 + +0 i":
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double: 1
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float: 1
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