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-rw-r--r--sysdeps/ieee754/ldbl-128ibm/s_ctanhl.c38
-rw-r--r--sysdeps/ieee754/ldbl-128ibm/s_ctanl.c34
-rw-r--r--sysdeps/powerpc/fpu/libm-test-ulps275
3 files changed, 324 insertions, 23 deletions
diff --git a/sysdeps/ieee754/ldbl-128ibm/s_ctanhl.c b/sysdeps/ieee754/ldbl-128ibm/s_ctanhl.c
index 2ab80a2246..e11ce56781 100644
--- a/sysdeps/ieee754/ldbl-128ibm/s_ctanhl.c
+++ b/sysdeps/ieee754/ldbl-128ibm/s_ctanhl.c
@@ -25,6 +25,8 @@
#include <math_private.h>
+/* IBM long double GCC builtin sets LDBL_EPSILON == LDBL_DENORM_MIN */
+static const long double ldbl_eps = 0x1p-106L;
__complex__ long double
__ctanhl (__complex__ long double x)
@@ -35,8 +37,8 @@ __ctanhl (__complex__ long double x)
{
if (__isinfl (__real__ x))
{
- __real__ res = __copysignl (1.0, __real__ x);
- __imag__ res = __copysignl (0.0, __imag__ x);
+ __real__ res = __copysignl (1.0L, __real__ x);
+ __imag__ res = __copysignl (0.0L, __imag__ x);
}
else if (__imag__ x == 0.0)
{
@@ -57,7 +59,7 @@ __ctanhl (__complex__ long double x)
{
long double sinix, cosix;
long double den;
- const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l / 2);
+ const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l / 2.0L);
/* tanh(x+iy) = (sinh(2x) + i*sin(2y))/(cosh(2x) + cos(2y))
= (sinh(x)*cosh(x) + i*sin(y)*cos(y))/(sinh(x)^2 + cos(y)^2). */
@@ -71,7 +73,7 @@ __ctanhl (__complex__ long double x)
the real part is +/- 1, the imaginary part is
sin(y)*cos(y)/sinh(x)^2 = 4*sin(y)*cos(y)/exp(2x). */
long double exp_2t = __ieee754_expl (2 * t);
- __real__ res = __copysignl (1.0, __real__ x);
+ __real__ res = __copysignl (1.0L, __real__ x);
__imag__ res = 4 * sinix * cosix;
__real__ x = fabsl (__real__ x);
__real__ x -= t;
@@ -83,22 +85,34 @@ __ctanhl (__complex__ long double x)
__imag__ res /= exp_2t;
}
else
- __imag__ res /= __ieee754_expl (2 * __real__ x);
+ __imag__ res /= __ieee754_expl (2.0L * __real__ x);
}
else
{
- long double sinhrx = __ieee754_sinhl (__real__ x);
- long double coshrx = __ieee754_coshl (__real__ x);
+ long double sinhrx, coshrx;
+ if (fabs (__real__ x) > LDBL_MIN)
+ {
+ sinhrx = __ieee754_sinhl (__real__ x);
+ coshrx = __ieee754_coshl (__real__ x);
+ }
+ else
+ {
+ sinhrx = __real__ x;
+ coshrx = 1.0L;
+ }
- den = sinhrx * sinhrx + cosix * cosix;
- __real__ res = sinhrx * coshrx / den;
- __imag__ res = sinix * cosix / den;
+ if (fabsl (sinhrx) > fabsl (cosix) * ldbl_eps)
+ den = sinhrx * sinhrx + cosix * cosix;
+ else
+ den = cosix * cosix;
+ __real__ res = sinhrx * (coshrx / den);
+ __imag__ res = sinix * (cosix / den);
}
/* __gcc_qmul does not respect -0.0 so we need the following fixup. */
- if ((__real__ res == 0.0) && (__real__ x == 0.0))
+ if ((__real__ res == 0.0L) && (__real__ x == 0.0L))
__real__ res = __real__ x;
- if ((__real__ res == 0.0) && (__imag__ x == 0.0))
+ if ((__real__ res == 0.0L) && (__imag__ x == 0.0L))
__imag__ res = __imag__ x;
}
diff --git a/sysdeps/ieee754/ldbl-128ibm/s_ctanl.c b/sysdeps/ieee754/ldbl-128ibm/s_ctanl.c
index 9d89bbe311..34a370a308 100644
--- a/sysdeps/ieee754/ldbl-128ibm/s_ctanl.c
+++ b/sysdeps/ieee754/ldbl-128ibm/s_ctanl.c
@@ -25,6 +25,8 @@
#include <math_private.h>
+/* IBM long double GCC builtin sets LDBL_EPSILON == LDBL_DENORM_MIN */
+static const long double ldbl_eps = 0x1p-106L;
__complex__ long double
__ctanl (__complex__ long double x)
@@ -55,7 +57,7 @@ __ctanl (__complex__ long double x)
{
long double sinrx, cosrx;
long double den;
- const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l / 2);
+ const int t = (int) ((LDBL_MAX_EXP - 1) * M_LN2l / 2.0L);
/* tan(x+iy) = (sin(2x) + i*sinh(2y))/(cos(2x) + cosh(2y))
= (sin(x)*cos(x) + i*sinh(y)*cosh(y)/(cos(x)^2 + sinh(y)^2). */
@@ -70,7 +72,7 @@ __ctanl (__complex__ long double x)
sin(x)*cos(x)/sinh(y)^2 = 4*sin(x)*cos(x)/exp(2y). */
long double exp_2t = __ieee754_expl (2 * t);
- __imag__ res = __copysignl (1.0, __imag__ x);
+ __imag__ res = __copysignl (1.0L, __imag__ x);
__real__ res = 4 * sinrx * cosrx;
__imag__ x = fabsl (__imag__ x);
__imag__ x -= t;
@@ -82,23 +84,35 @@ __ctanl (__complex__ long double x)
__real__ res /= exp_2t;
}
else
- __real__ res /= __ieee754_expl (2 * __imag__ x);
+ __real__ res /= __ieee754_expl (2.0L * __imag__ x);
}
else
{
- long double sinhix = __ieee754_sinhl (__imag__ x);
- long double coshix = __ieee754_coshl (__imag__ x);
+ long double sinhix, coshix;
+ if (fabsl (__imag__ x) > LDBL_MIN)
+ {
+ sinhix = __ieee754_sinhl (__imag__ x);
+ coshix = __ieee754_coshl (__imag__ x);
+ }
+ else
+ {
+ sinhix = __imag__ x;
+ coshix = 1.0L;
+ }
- den = cosrx * cosrx + sinhix * sinhix;
- __real__ res = sinrx * cosrx / den;
- __imag__ res = sinhix * coshix / den;
+ if (fabsl (sinhix) > fabsl (cosrx) * ldbl_eps)
+ den = cosrx * cosrx + sinhix * sinhix;
+ else
+ den = cosrx * cosrx;
+ __real__ res = sinrx * (cosrx / den);
+ __imag__ res = sinhix * (coshix / den);
}
/* __gcc_qmul does not respect -0.0 so we need the following fixup. */
- if ((__real__ res == 0.0) && (__real__ x == 0.0))
+ if ((__real__ res == 0.0L) && (__real__ x == 0.0L))
__real__ res = __real__ x;
- if ((__real__ res == 0.0) && (__imag__ x == 0.0))
+ if ((__real__ res == 0.0L) && (__imag__ x == 0.0L))
__imag__ res = __imag__ x;
}
diff --git a/sysdeps/powerpc/fpu/libm-test-ulps b/sysdeps/powerpc/fpu/libm-test-ulps
index 66576a52a5..ffb8e3a952 100644
--- a/sysdeps/powerpc/fpu/libm-test-ulps
+++ b/sysdeps/powerpc/fpu/libm-test-ulps
@@ -1336,33 +1336,120 @@ ldouble: 1
Test "Real part of: ctan (0x1p1023 + 1 i) == -0.2254627924997545057926782581695274244229 + 0.8786063118883068695462540226219865087189 i":
double: 1
idouble: 1
+Test "Imaginary part of: ctan (0x1p1023 + 1 i) == -0.2254627924997545057926782581695274244229 + 0.8786063118883068695462540226219865087189 i":
+ildouble: 1
+ldouble: 1
Test "Real part of: ctan (0x1p127 + 1 i) == 0.2446359391192790896381501310437708987204 + 0.9101334047676183761532873794426475906201 i":
float: 1
ifloat: 1
+ildouble: 1
+ldouble: 1
Test "Imaginary part of: ctan (0x1p127 + 1 i) == 0.2446359391192790896381501310437708987204 + 0.9101334047676183761532873794426475906201 i":
double: 1
float: 1
idouble: 1
ifloat: 1
+ildouble: 2
+ldouble: 2
Test "Real part of: ctan (0x3.243f6cp-1 + 0 i) == -2.287733242885645987394874673945769518150e7 + 0.0 i":
float: 1
ifloat: 1
+ildouble: 2
+ldouble: 2
Test "Real part of: ctan (1 + 47 i) == 2.729321264492904590777293425576722354636e-41 + 1.0 i":
ildouble: 2
ldouble: 2
+# ctan_downward
+Test "Real part of: ctan_downward (0x1.921fb54442d18p+0 + 0x1p-1074 i) == 1.633123935319536975596773704152891653086e16 + 1.317719414943508315995636961402669067843e-291 i":
+ildouble: 3
+ldouble: 3
+Test "Real part of: ctan_downward (0x1.921fb6p+0 + 0x1p-149 i) == -2.287733242885645987394874673945769518150e7 + 7.334008549954377778731880988481078535821e-31 i":
+double: 2
+float: 1
+idouble: 2
+ifloat: 1
+ildouble: 4
+ldouble: 4
+Test "Imaginary part of: ctan_downward (0x1.921fb6p+0 + 0x1p-149 i) == -2.287733242885645987394874673945769518150e7 + 7.334008549954377778731880988481078535821e-31 i":
+float: 1
+ifloat: 1
+ildouble: 10
+ldouble: 10
+
+# ctan_tonearest
+Test "Real part of: ctan_tonearest (0x1.921fb6p+0 + 0x1p-149 i) == -2.287733242885645987394874673945769518150e7 + 7.334008549954377778731880988481078535821e-31 i":
+float: 1
+ifloat: 1
+ildouble: 2
+ldouble: 2
+Test "Imaginary part of: ctan_tonearest (0x1.921fb6p+0 + 0x1p-149 i) == -2.287733242885645987394874673945769518150e7 + 7.334008549954377778731880988481078535821e-31 i":
+float: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+# ctan_towardzero
+Test "Real part of: ctan_towardzero (0x1.921fb54442d18p+0 + 0x1p-1074 i) == 1.633123935319536975596773704152891653086e16 + 1.317719414943508315995636961402669067843e-291 i":
+ldouble: 4
+ildouble: 4
+Test "Imaginary part of: ctan_towardzero (0x1.921fb54442d18p+0 + 0x1p-1074 i) == 1.633123935319536975596773704152891653086e16 + 1.317719414943508315995636961402669067843e-291 i":
+ildouble: 13
+ldouble: 13
+Test "Real part of: ctan_towardzero (0x1.921fb6p+0 + 0x1p-149 i) == -2.287733242885645987394874673945769518150e7 + 7.334008549954377778731880988481078535821e-31 i":
+float: 1
+ifloat: 1
+ildouble: 2
+ldouble: 2
+Test "Imaginary part of: ctan_towardzero (0x1.921fb6p+0 + 0x1p-149 i) == -2.287733242885645987394874673945769518150e7 + 7.334008549954377778731880988481078535821e-31 i":
+float: 1
+ifloat: 1
+ildouble: 10
+ldouble: 10
+
+# ctan_upward
+Test "Real part of: ctan_upward (0x1.921fb54442d18p+0 + 0x1p-1074 i) == 1.633123935319536975596773704152891653086e16 + 1.317719414943508315995636961402669067843e-291 i":
+double: 1
+idouble: 1
+ildouble: 6
+ldouble: 6
+Test "Imaginary part of: ctan_upward (0x1.921fb54442d18p+0 + 0x1p-1074 i) == 1.633123935319536975596773704152891653086e16 + 1.317719414943508315995636961402669067843e-291 i":
+ildouble: 10
+ldouble: 10
+Test "Real part of: ctan_upward (0x1.921fb6p+0 + 0x1p-149 i) == -2.287733242885645987394874673945769518150e7 + 7.334008549954377778731880988481078535821e-31 i":
+double: 2
+float: 1
+idouble: 2
+ifloat: 1
+ildouble: 6
+ldouble: 6
+Test "Imaginary part of: ctan_upward (0x1.921fb6p+0 + 0x1p-149 i) == -2.287733242885645987394874673945769518150e7 + 7.334008549954377778731880988481078535821e-31 i":
+double: 1
+float: 2
+idouble: 1
+ifloat: 2
+ildouble: 1
+ldouble: 1
+
# ctanh
Test "Real part of: ctanh (-2 - 3 i) == -0.965385879022133124278480269394560686 + 0.988437503832249372031403430350121098e-2 i":
double: 1
float: 2
idouble: 1
ifloat: 2
+idouble: 2
+ildouble: 2
+ldouble: 2
Test "Imaginary part of: ctanh (-2 - 3 i) == -0.965385879022133124278480269394560686 + 0.988437503832249372031403430350121098e-2 i":
double: 1
idouble: 1
+ildouble: 2
+ldouble: 2
Test "Imaginary part of: ctanh (0 + 0x3.243f6cp-1 i) == 0.0 - 2.287733242885645987394874673945769518150e7 i":
float: 1
ifloat: 1
+ildouble: 2
+ldouble: 2
Test "Imaginary part of: ctanh (0 + pi/4 i) == 0.0 + 1.0 i":
double: 1
float: 1
@@ -1378,22 +1465,100 @@ float: 1
ifloat: 1
ildouble: 2
ldouble: 2
+Test "Real part of: ctanh (1 + 0x1p1023 i) == 0.8786063118883068695462540226219865087189 - 0.2254627924997545057926782581695274244229 i":
+ildouble: 1
+ldouble: 1
Test "Imaginary part of: ctanh (1 + 0x1p1023 i) == 0.8786063118883068695462540226219865087189 - 0.2254627924997545057926782581695274244229 i":
-double: 1
idouble: 1
+double: 1
Test "Real part of: ctanh (1 + 0x1p127 i) == 0.9101334047676183761532873794426475906201 + 0.2446359391192790896381501310437708987204 i":
double: 1
float: 1
idouble: 1
ifloat: 1
+ildouble: 2
+ldouble: 2
Test "Imaginary part of: ctanh (1 + 0x1p127 i) == 0.9101334047676183761532873794426475906201 + 0.2446359391192790896381501310437708987204 i":
double: 1
float: 1
ifloat: 1
+ildouble: 1
+ldouble: 1
Test "Imaginary part of: ctanh (47 + 1 i) == 1.0 + 2.729321264492904590777293425576722354636e-41 i":
ildouble: 2
ldouble: 2
+# ctanh_downward
+Test "Imaginary part of: ctanh_downward (0x1p-1074 + 0x1.921fb54442d18p+0 i) == 1.317719414943508315995636961402669067843e-291 + 1.633123935319536975596773704152891653086e16 i":
+ildouble: 3
+ldouble: 3
+Test "Real part of: ctanh_downward (0x1p-149 + 0x1.921fb6p+0 i) == 7.334008549954377778731880988481078535821e-31 - 2.287733242885645987394874673945769518150e7 i":
+float: 1
+ifloat: 1
+ildouble: 10
+ldouble: 10
+Test "Imaginary part of: ctanh_downward (0x1p-149 + 0x1.921fb6p+0 i) == 7.334008549954377778731880988481078535821e-31 - 2.287733242885645987394874673945769518150e7 i":
+double: 2
+float: 1
+idouble: 2
+ifloat: 1
+ildouble: 4
+ldouble: 4
+
+# ctanh_tonearest
+Test "Real part of: ctanh_tonearest (0x1p-149 + 0x1.921fb6p+0 i) == 7.334008549954377778731880988481078535821e-31 - 2.287733242885645987394874673945769518150e7 i":
+float: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: ctanh_tonearest (0x1p-149 + 0x1.921fb6p+0 i) == 7.334008549954377778731880988481078535821e-31 - 2.287733242885645987394874673945769518150e7 i":
+float: 1
+ifloat: 1
+ildouble: 2
+ldouble: 2
+
+# ctanh_towardzero
+Test "Real part of: ctanh_towardzero (0x1p-1074 + 0x1.921fb54442d18p+0 i) == 1.317719414943508315995636961402669067843e-291 + 1.633123935319536975596773704152891653086e16 i":
+ildouble: 13
+ldouble: 13
+Test "Imaginary part of: ctanh_towardzero (0x1p-1074 + 0x1.921fb54442d18p+0 i) == 1.317719414943508315995636961402669067843e-291 + 1.633123935319536975596773704152891653086e16 i":
+ildouble: 4
+ldouble: 4
+Test "Real part of: ctanh_towardzero (0x1p-149 + 0x1.921fb6p+0 i) == 7.334008549954377778731880988481078535821e-31 - 2.287733242885645987394874673945769518150e7 i":
+float: 1
+ifloat: 1
+ildouble: 10
+ldouble: 10
+Test "Imaginary part of: ctanh_towardzero (0x1p-149 + 0x1.921fb6p+0 i) == 7.334008549954377778731880988481078535821e-31 - 2.287733242885645987394874673945769518150e7 i":
+float: 1
+ifloat: 1
+ildouble: 2
+ldouble: 2
+
+# ctanh_upward
+Test "Real part of: ctanh_upward (0x1p-1074 + 0x1.921fb54442d18p+0 i) == 1.317719414943508315995636961402669067843e-291 + 1.633123935319536975596773704152891653086e16 i":
+ildouble: 10
+ldouble: 10
+Test "Imaginary part of: ctanh_upward (0x1p-1074 + 0x1.921fb54442d18p+0 i) == 1.317719414943508315995636961402669067843e-291 + 1.633123935319536975596773704152891653086e16 i":
+double: 1
+idouble: 1
+ildouble: 6
+ldouble: 6
+Test "Real part of: ctanh_upward (0x1p-149 + 0x1.921fb6p+0 i) == 7.334008549954377778731880988481078535821e-31 - 2.287733242885645987394874673945769518150e7 i":
+double: 1
+float: 2
+idouble: 1
+ifloat: 2
+ildouble: 1
+ldouble: 1
+Test "Imaginary part of: ctanh_upward (0x1p-149 + 0x1.921fb6p+0 i) == 7.334008549954377778731880988481078535821e-31 - 2.287733242885645987394874673945769518150e7 i":
+double: 2
+float: 1
+idouble: 2
+ifloat: 1
+ildouble: 3
+ldouble: 3
+
# erf
Test "erf (1.25) == 0.922900128256458230136523481197281140":
double: 1
@@ -2714,9 +2879,63 @@ double: 1
float: 1
idouble: 1
ifloat: 1
+ildouble: 2
+ldouble: 2
+
+Function: Real part of "ctan_downward":
+double: 2
+float: 1
+idouble: 2
+ifloat: 1
+ildouble: 4
+ldouble: 4
+
+Function: Imaginary part of "ctan_downward":
+float: 1
+ifloat: 1
+ildouble: 10
+ldouble: 10
+
+Function: Real part of "ctan_tonearest":
+float: 1
+ifloat: 1
+ildouble: 2
+ldouble: 2
+
+Function: Imaginary part of "ctan_tonearest":
+float: 1
+ifloat: 1
ildouble: 1
ldouble: 1
+Function: Real part of "ctan_towardzero":
+float: 1
+ifloat: 1
+ildouble: 4
+ldouble: 4
+
+Function: Imaginary part of "ctan_towardzero":
+float: 1
+ifloat: 1
+ildouble: 13
+ldouble: 13
+
+Function: Real part of "ctan_upward":
+double: 2
+float: 1
+idouble: 2
+ifloat: 1
+ildouble: 6
+ldouble: 6
+
+Function: Imaginary part of "ctan_upward":
+double: 1
+float: 2
+idouble: 1
+ifloat: 2
+ildouble: 10
+ldouble: 10
+
Function: Real part of "ctanh":
double: 1
float: 2
@@ -2733,6 +2952,60 @@ ifloat: 1
ildouble: 2
ldouble: 2
+Function: Real part of "ctanh_downward":
+float: 1
+ifloat: 1
+ildouble: 10
+ldouble: 10
+
+Function: Imaginary part of "ctanh_downward":
+double: 2
+float: 1
+idouble: 2
+ifloat: 1
+ildouble: 4
+ldouble: 4
+
+Function: Real part of "ctanh_tonearest":
+float: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+Function: Imaginary part of "ctanh_tonearest":
+float: 1
+ifloat: 1
+ildouble: 2
+ldouble: 2
+
+Function: Real part of "ctanh_towardzero":
+float: 1
+ifloat: 1
+ildouble: 13
+ldouble: 13
+
+Function: Imaginary part of "ctanh_towardzero":
+float: 1
+ifloat: 1
+ildouble: 4
+ldouble: 4
+
+Function: Real part of "ctanh_upward":
+double: 1
+float: 2
+idouble: 1
+ifloat: 2
+ildouble: 10
+ldouble: 10
+
+Function: Imaginary part of "ctanh_upward":
+double: 2
+float: 1
+idouble: 2
+ifloat: 1
+ildouble: 6
+ldouble: 6
+
Function: "erf":
double: 1
idouble: 1
generated by cgit v1.2.3 (git 2.25.1) at 2024-11-13 23:13:11 +0000