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Fix casinh inaccuracy for imaginary part < 1.0, real part small (bug 10357).

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This commit is contained in:
Joseph Myers 2013-03-30 13:31:53 +00:00
parent 0d1029de12
commit ccc8cadf75
8 changed files with 3426 additions and 310 deletions
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15
ChangeLog
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@ -1,3 +1,18 @@
2013-03-30 Joseph Myers <joseph@codesourcery.com>
[BZ #10357]
* math/k_casinh.c (__kernel_casinh): Handle arguments with
imaginary part less than 1.0 and real part less than 0.5
specially.
* math/k_casinhf.c (__kernel_casinhf): Likewise.
* math/k_casinhl.c (__kernel_casinhl): Likewise.
* math/libm-test.inc (UNDERFLOW_EXCEPTION_OK_DOUBLE): New macro.
(cacos_test): Add more tests.
(casin_test): Likewise.
(casinh_test): Likewise.
* sysdeps/i386/fpu/libm-test-ulps: Update.
* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2013-03-29 Siddhesh Poyarekar <siddhesh@redhat.com>
* sysdeps/powerpc/power4/fpu/mpa-arch.h (INTEGER_OF): Replace

8
NEWS
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@ -9,10 +9,10 @@ Version 2.18
* The following bugs are resolved with this release:
11120, 11561, 12723, 13550, 13889, 13951, 14142, 14176, 14200, 14317,
14327, 14496, 14812, 14920, 14964, 14981, 14982, 14985, 14994, 14996,
15003, 15006, 15020, 15023, 15036, 15054, 15055, 15062, 15078, 15160,
15214, 15232, 15234, 15283, 15285, 15287, 15304, 15307.
10357, 11120, 11561, 12723, 13550, 13889, 13951, 14142, 14176, 14200,
14317, 14327, 14496, 14812, 14920, 14964, 14981, 14982, 14985, 14994,
14996, 15003, 15006, 15020, 15023, 15036, 15054, 15055, 15062, 15078,
15160, 15214, 15232, 15234, 15283, 15285, 15287, 15304, 15307.
* Add support for calling C++11 thread_local object destructors on thread
and program exit. This needs compiler support for offloading C++11

52
math/k_casinh.c
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@ -134,6 +134,58 @@ __kernel_casinh (__complex__ double x, int adj)
__imag__ res = __ieee754_atan2 (1.0 + s2, rx + s1);
}
}
else if (ix < 1.0 && rx < 0.5)
{
if (ix >= DBL_EPSILON)
{
if (rx < DBL_EPSILON * DBL_EPSILON)
{
double onemix2 = (1.0 + ix) * (1.0 - ix);
double s = __ieee754_sqrt (onemix2);
__real__ res = __log1p (2.0 * rx / s) / 2.0;
if (adj)
__imag__ res = __ieee754_atan2 (s, __imag__ x);
else
__imag__ res = __ieee754_atan2 (ix, s);
}
else
{
double onemix2 = (1.0 + ix) * (1.0 - ix);
double rx2 = rx * rx;
double f = rx2 * (2.0 + rx2 + 2.0 * ix * ix);
double d = __ieee754_sqrt (onemix2 * onemix2 + f);
double dp = d + onemix2;
double dm = f / dp;
double r1 = __ieee754_sqrt ((dp + rx2) / 2.0);
double r2 = rx * ix / r1;
__real__ res
= __log1p (rx2 + dm + 2.0 * (rx * r1 + ix * r2)) / 2.0;
if (adj)
__imag__ res = __ieee754_atan2 (rx + r1,
__copysign (ix + r2,
__imag__ x));
else
__imag__ res = __ieee754_atan2 (ix + r2, rx + r1);
}
}
else
{
double s = __ieee754_hypot (1.0, rx);
__real__ res = __log1p (2.0 * rx * (rx + s)) / 2.0;
if (adj)
__imag__ res = __ieee754_atan2 (s, __imag__ x);
else
__imag__ res = __ieee754_atan2 (ix, s);
}
if (__real__ res < DBL_MIN)
{
volatile double force_underflow = __real__ res * __real__ res;
(void) force_underflow;
}
}
else
{
__real__ y = (rx - ix) * (rx + ix) + 1.0;

52
math/k_casinhf.c
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@ -136,6 +136,58 @@ __kernel_casinhf (__complex__ float x, int adj)
__imag__ res = __ieee754_atan2f (1.0f + s2, rx + s1);
}
}
else if (ix < 1.0f && rx < 0.5f)
{
if (ix >= FLT_EPSILON)
{
if (rx < FLT_EPSILON * FLT_EPSILON)
{
float onemix2 = (1.0f + ix) * (1.0f - ix);
float s = __ieee754_sqrtf (onemix2);
__real__ res = __log1pf (2.0f * rx / s) / 2.0f;
if (adj)
__imag__ res = __ieee754_atan2f (s, __imag__ x);
else
__imag__ res = __ieee754_atan2f (ix, s);
}
else
{
float onemix2 = (1.0f + ix) * (1.0f - ix);
float rx2 = rx * rx;
float f = rx2 * (2.0f + rx2 + 2.0f * ix * ix);
float d = __ieee754_sqrtf (onemix2 * onemix2 + f);
float dp = d + onemix2;
float dm = f / dp;
float r1 = __ieee754_sqrtf ((dp + rx2) / 2.0f);
float r2 = rx * ix / r1;
__real__ res
= __log1pf (rx2 + dm + 2.0f * (rx * r1 + ix * r2)) / 2.0f;
if (adj)
__imag__ res = __ieee754_atan2f (rx + r1,
__copysignf (ix + r2,
__imag__ x));
else
__imag__ res = __ieee754_atan2f (ix + r2, rx + r1);
}
}
else
{
float s = __ieee754_hypotf (1.0f, rx);
__real__ res = __log1pf (2.0f * rx * (rx + s)) / 2.0f;
if (adj)
__imag__ res = __ieee754_atan2f (s, __imag__ x);
else
__imag__ res = __ieee754_atan2f (ix, s);
}
if (__real__ res < FLT_MIN)
{
volatile float force_underflow = __real__ res * __real__ res;
(void) force_underflow;
}
}
else
{
__real__ y = (rx - ix) * (rx + ix) + 1.0f;

52
math/k_casinhl.c
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@ -143,6 +143,58 @@ __kernel_casinhl (__complex__ long double x, int adj)
__imag__ res = __ieee754_atan2l (1.0L + s2, rx + s1);
}
}
else if (ix < 1.0L && rx < 0.5L)
{
if (ix >= LDBL_EPSILON)
{
if (rx < LDBL_EPSILON * LDBL_EPSILON)
{
long double onemix2 = (1.0L + ix) * (1.0L - ix);
long double s = __ieee754_sqrtl (onemix2);
__real__ res = __log1pl (2.0L * rx / s) / 2.0L;
if (adj)
__imag__ res = __ieee754_atan2l (s, __imag__ x);
else
__imag__ res = __ieee754_atan2l (ix, s);
}
else
{
long double onemix2 = (1.0L + ix) * (1.0L - ix);
long double rx2 = rx * rx;
long double f = rx2 * (2.0L + rx2 + 2.0L * ix * ix);
long double d = __ieee754_sqrtl (onemix2 * onemix2 + f);
long double dp = d + onemix2;
long double dm = f / dp;
long double r1 = __ieee754_sqrtl ((dp + rx2) / 2.0L);
long double r2 = rx * ix / r1;
__real__ res
= __log1pl (rx2 + dm + 2.0L * (rx * r1 + ix * r2)) / 2.0L;
if (adj)
__imag__ res = __ieee754_atan2l (rx + r1,
__copysignl (ix + r2,
__imag__ x));
else
__imag__ res = __ieee754_atan2l (ix + r2, rx + r1);
}
}
else
{
long double s = __ieee754_hypotl (1.0L, rx);
__real__ res = __log1pl (2.0L * rx * (rx + s)) / 2.0L;
if (adj)
__imag__ res = __ieee754_atan2l (s, __imag__ x);
else
__imag__ res = __ieee754_atan2l (ix, s);
}
if (__real__ res < LDBL_MIN)
{
volatile long double force_underflow = __real__ res * __real__ res;
(void) force_underflow;
}
}
else
{
__real__ y = (rx - ix) * (rx + ix) + 1.0L;

977
math/libm-test.inc
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sysdeps/i386/fpu/libm-test-ulps
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sysdeps/x86_64/fpu/libm-test-ulps
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