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Fix catan, catanh inaccuracy through use of log (bug 15394).

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Joseph Myers 2013-04-24 18:49:13 +00:00
parent 45d69176e8
commit 2f38fbfe09
11 changed files with 130 additions and 10 deletions
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16
ChangeLog
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@ -1,3 +1,19 @@
2013-04-24 Joseph Myers <joseph@codesourcery.com>
[BZ #15394]
* math/s_catan.c (__catan): Calculate imaginary part of result
with log1p not log unless computing log of number close to 0.
* math/s_catanf.c (__catanf): Likewise.
* math/s_catanl.c (__catanl): Likewise.
* math/s_catanh.c (__catanh): Calculate real part of result with
log1p not log unless computing log of number close to 0.
* math/s_catanhf.c (__catanhf): Likewise.
* math/s_catanhl.c (__catanhl): Likewise.
* math/libm-test.inc (catan_test): Add more tests.
(catanh_test): Likewise.
* sysdeps/i386/fpu/libm-test-ulps: Update.
* sysdeps/x86_64/fpu/libm-test-ulps: Likewise.
2013-04-24 Siddhesh Poyarekar <siddhesh@redhat.com>
* benchtests/Makefile: Mention files in which fast and slow

2
NEWS
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@ -14,7 +14,7 @@ Version 2.18
14888, 14920, 14964, 14981, 14982, 14985, 14994, 14996, 15003, 15006,
15020, 15023, 15036, 15054, 15055, 15062, 15078, 15160, 15214, 15232,
15234, 15283, 15285, 15287, 15304, 15305, 15307, 15309, 15327, 15330,
15335, 15336, 15337, 15342, 15346, 15361.
15335, 15336, 15337, 15342, 15346, 15361, 15394.
* CVE-2013-0242 Buffer overrun in regexp matcher has been fixed (Bugzilla
#15078).

58
math/libm-test.inc
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@ -4299,6 +4299,35 @@ catan_test (void)
TEST_c_c (catan, qnan_value, qnan_value, qnan_value, qnan_value);
TEST_c_c (catan, 0x1p50L, 0.0L, 1.570796326794895731052901991514519103193L, 0.0L);
TEST_c_c (catan, 0x1p50L, -0.0L, 1.570796326794895731052901991514519103193L, -0.0L);
TEST_c_c (catan, -0x1p50L, 0.0L, -1.570796326794895731052901991514519103193L, 0.0L);
TEST_c_c (catan, -0x1p50L, -0.0L, -1.570796326794895731052901991514519103193L, -0.0L);
TEST_c_c (catan, 0.0L, 0x1p50L, 1.570796326794896619231321691639751442099L, 8.881784197001252323389053344728897997441e-16L);
TEST_c_c (catan, -0.0L, 0x1p50L, -1.570796326794896619231321691639751442099L, 8.881784197001252323389053344728897997441e-16L);
TEST_c_c (catan, 0.0L, -0x1p50L, 1.570796326794896619231321691639751442099L, -8.881784197001252323389053344728897997441e-16L);
TEST_c_c (catan, -0.0L, -0x1p50L, -1.570796326794896619231321691639751442099L, -8.881784197001252323389053344728897997441e-16L);
#ifndef TEST_FLOAT
TEST_c_c (catan, 0x1p500L, 0.0L, 1.570796326794896619231321691639751442099L, 0.0L);
TEST_c_c (catan, 0x1p500L, -0.0L, 1.570796326794896619231321691639751442099L, -0.0L);
TEST_c_c (catan, -0x1p500L, 0.0L, -1.570796326794896619231321691639751442099L, 0.0L);
TEST_c_c (catan, -0x1p500L, -0.0L, -1.570796326794896619231321691639751442099L, -0.0L);
TEST_c_c (catan, 0.0L, 0x1p500L, 1.570796326794896619231321691639751442099L, 3.054936363499604682051979393213617699789e-151L);
TEST_c_c (catan, -0.0L, 0x1p500L, -1.570796326794896619231321691639751442099L, 3.054936363499604682051979393213617699789e-151L);
TEST_c_c (catan, 0.0L, -0x1p500L, 1.570796326794896619231321691639751442099L, -3.054936363499604682051979393213617699789e-151L);
TEST_c_c (catan, -0.0L, -0x1p500L, -1.570796326794896619231321691639751442099L, -3.054936363499604682051979393213617699789e-151L);
#endif
#if defined TEST_LDOUBLE && LDBL_MAX_EXP >= 16384
TEST_c_c (catan, 0x1p5000L, 0.0L, 1.570796326794896619231321691639751442099L, 0.0L);
TEST_c_c (catan, 0x1p5000L, -0.0L, 1.570796326794896619231321691639751442099L, -0.0L);
TEST_c_c (catan, -0x1p5000L, 0.0L, -1.570796326794896619231321691639751442099L, 0.0L);
TEST_c_c (catan, -0x1p5000L, -0.0L, -1.570796326794896619231321691639751442099L, -0.0L);
TEST_c_c (catan, 0.0L, 0x1p5000L, 1.570796326794896619231321691639751442099L, 7.079811261048172892385615158694057552948e-1506L);
TEST_c_c (catan, -0.0L, 0x1p5000L, -1.570796326794896619231321691639751442099L, 7.079811261048172892385615158694057552948e-1506L);
TEST_c_c (catan, 0.0L, -0x1p5000L, 1.570796326794896619231321691639751442099L, -7.079811261048172892385615158694057552948e-1506L);
TEST_c_c (catan, -0.0L, -0x1p5000L, -1.570796326794896619231321691639751442099L, -7.079811261048172892385615158694057552948e-1506L);
#endif
TEST_c_c (catan, 0.75L, 1.25L, 1.10714871779409050301706546017853704L, 0.549306144334054845697622618461262852L);
TEST_c_c (catan, -2, -3, -1.4099210495965755225306193844604208L, -0.22907268296853876629588180294200276L);
@ -4365,6 +4394,35 @@ catanh_test (void)
TEST_c_c (catanh, qnan_value, qnan_value, qnan_value, qnan_value);
TEST_c_c (catanh, 0x1p50L, 0.0L, 8.881784197001252323389053344728897997441e-16L, 1.570796326794896619231321691639751442099L);
TEST_c_c (catanh, 0x1p50L, -0.0L, 8.881784197001252323389053344728897997441e-16L, -1.570796326794896619231321691639751442099L);
TEST_c_c (catanh, -0x1p50L, 0.0L, -8.881784197001252323389053344728897997441e-16L, 1.570796326794896619231321691639751442099L);
TEST_c_c (catanh, -0x1p50L, -0.0L, -8.881784197001252323389053344728897997441e-16L, -1.570796326794896619231321691639751442099L);
TEST_c_c (catanh, 0.0L, 0x1p50L, 0.0L, 1.570796326794895731052901991514519103193L);
TEST_c_c (catanh, -0.0L, 0x1p50L, -0.0L, 1.570796326794895731052901991514519103193L);
TEST_c_c (catanh, 0.0L, -0x1p50L, 0.0L, -1.570796326794895731052901991514519103193L);
TEST_c_c (catanh, -0.0L, -0x1p50L, -0.0L, -1.570796326794895731052901991514519103193L);
#ifndef TEST_FLOAT
TEST_c_c (catanh, 0x1p500L, 0.0L, 3.054936363499604682051979393213617699789e-151L, 1.570796326794896619231321691639751442099L);
TEST_c_c (catanh, 0x1p500L, -0.0L, 3.054936363499604682051979393213617699789e-151L, -1.570796326794896619231321691639751442099L);
TEST_c_c (catanh, -0x1p500L, 0.0L, -3.054936363499604682051979393213617699789e-151L, 1.570796326794896619231321691639751442099L);
TEST_c_c (catanh, -0x1p500L, -0.0L, -3.054936363499604682051979393213617699789e-151L, -1.570796326794896619231321691639751442099L);
TEST_c_c (catanh, 0.0L, 0x1p500L, 0.0L, 1.570796326794896619231321691639751442099L);
TEST_c_c (catanh, -0.0L, 0x1p500L, -0.0L, 1.570796326794896619231321691639751442099L);
TEST_c_c (catanh, 0.0L, -0x1p500L, 0.0L, -1.570796326794896619231321691639751442099L);
TEST_c_c (catanh, -0.0L, -0x1p500L, -0.0L, -1.570796326794896619231321691639751442099L);
#endif
#if defined TEST_LDOUBLE && LDBL_MAX_EXP >= 16384
TEST_c_c (catanh, 0x1p5000L, 0.0L, 7.079811261048172892385615158694057552948e-1506L, 1.570796326794896619231321691639751442099L);
TEST_c_c (catanh, 0x1p5000L, -0.0L, 7.079811261048172892385615158694057552948e-1506L, -1.570796326794896619231321691639751442099L);
TEST_c_c (catanh, -0x1p5000L, 0.0L, -7.079811261048172892385615158694057552948e-1506L, 1.570796326794896619231321691639751442099L);
TEST_c_c (catanh, -0x1p5000L, -0.0L, -7.079811261048172892385615158694057552948e-1506L, -1.570796326794896619231321691639751442099L);
TEST_c_c (catanh, 0.0L, 0x1p5000L, 0.0L, 1.570796326794896619231321691639751442099L);
TEST_c_c (catanh, -0.0L, 0x1p5000L, -0.0L, 1.570796326794896619231321691639751442099L);
TEST_c_c (catanh, 0.0L, -0x1p5000L, 0.0L, -1.570796326794896619231321691639751442099L);
TEST_c_c (catanh, -0.0L, -0x1p5000L, -0.0L, -1.570796326794896619231321691639751442099L);
#endif
TEST_c_c (catanh, 0.75L, 1.25L, 0.261492138795671927078652057366532140L, 0.996825126463918666098902241310446708L);
TEST_c_c (catanh, -2, -3, -0.14694666622552975204743278515471595L, -1.3389725222944935611241935759091443L);

11
math/s_catan.c
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@ -61,7 +61,7 @@ __catan (__complex__ double x)
}
else
{
double r2, num, den;
double r2, num, den, f;
r2 = __real__ x * __real__ x;
@ -75,7 +75,14 @@ __catan (__complex__ double x)
den = __imag__ x - 1.0;
den = r2 + den * den;
__imag__ res = 0.25 * __ieee754_log (num / den);
f = num / den;
if (f < 0.5)
__imag__ res = 0.25 * __ieee754_log (f);
else
{
num = 4.0 * __imag__ x;
__imag__ res = 0.25 * __log1p (num / den);
}
}
return res;

11
math/s_catanf.c
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@ -61,7 +61,7 @@ __catanf (__complex__ float x)
}
else
{
float r2, num, den;
float r2, num, den, f;
r2 = __real__ x * __real__ x;
@ -75,7 +75,14 @@ __catanf (__complex__ float x)
den = __imag__ x - 1.0;
den = r2 + den * den;
__imag__ res = 0.25 * __ieee754_logf (num / den);
f = num / den;
if (f < 0.5)
__imag__ res = 0.25 * __ieee754_logf (f);
else
{
num = 4.0 * __imag__ x;
__imag__ res = 0.25 * __log1pf (num / den);
}
}
return res;

9
math/s_catanh.c
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@ -64,7 +64,14 @@ __catanh (__complex__ double x)
double den = 1.0 - __real__ x;
den = i2 + den * den;
__real__ res = 0.25 * (__ieee754_log (num) - __ieee754_log (den));
double f = num / den;
if (f < 0.5)
__real__ res = 0.25 * __ieee754_log (f);
else
{
num = 4.0 * __real__ x;
__real__ res = 0.25 * __log1p (num / den);
}
den = 1 - __real__ x * __real__ x - i2;

9
math/s_catanhf.c
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@ -64,7 +64,14 @@ __catanhf (__complex__ float x)
float den = 1.0 - __real__ x;
den = i2 + den * den;
__real__ res = 0.25 * (__ieee754_logf (num) - __ieee754_logf (den));
float f = num / den;
if (f < 0.5)
__real__ res = 0.25 * __ieee754_logf (f);
else
{
num = 4.0 * __real__ x;
__real__ res = 0.25 * __log1pf (num / den);
}
den = 1 - __real__ x * __real__ x - i2;

9
math/s_catanhl.c
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@ -64,7 +64,14 @@ __catanhl (__complex__ long double x)
long double den = 1.0 - __real__ x;
den = i2 + den * den;
__real__ res = 0.25 * (__ieee754_logl (num) - __ieee754_logl (den));
long double f = num / den;
if (f < 0.5)
__real__ res = 0.25 * __ieee754_logl (f);
else
{
num = 4.0 * __real__ x;
__real__ res = 0.25 * __log1pl (num / den);
}
den = 1 - __real__ x * __real__ x - i2;

11
math/s_catanl.c
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@ -61,7 +61,7 @@ __catanl (__complex__ long double x)
}
else
{
long double r2, num, den;
long double r2, num, den, f;
r2 = __real__ x * __real__ x;
@ -75,7 +75,14 @@ __catanl (__complex__ long double x)
den = __imag__ x - 1.0;
den = r2 + den * den;
__imag__ res = 0.25 * __ieee754_logl (num / den);
f = num / den;
if (f < 0.5)
__imag__ res = 0.25 * __ieee754_logl (f);
else
{
num = 4.0 * __imag__ x;
__imag__ res = 0.25 * __log1pl (num / den);
}
}
return res;

2
sysdeps/i386/fpu/libm-test-ulps
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@ -3417,6 +3417,8 @@ ldouble: 1
Test "Real part of: catanh (0.75 + 1.25 i) == 0.261492138795671927078652057366532140 + 0.996825126463918666098902241310446708 i":
double: 1
idouble: 1
ildouble: 1
ldouble: 1
# cbrt
Test "cbrt (-27.0) == -3.0":

2
sysdeps/x86_64/fpu/libm-test-ulps
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@ -3985,6 +3985,8 @@ ifloat: 4
Test "Real part of: catanh (0.75 + 1.25 i) == 0.261492138795671927078652057366532140 + 0.996825126463918666098902241310446708 i":
double: 1
idouble: 1
ildouble: 1
ldouble: 1
Test "Imaginary part of: catanh (0.75 + 1.25 i) == 0.261492138795671927078652057366532140 + 0.996825126463918666098902241310446708 i":
float: 6
ifloat: 6