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authorAurelien Jarno <aurelien@aurel32.net>2015-12-13 22:55:34 +0100
committerAurelien Jarno <aurelien@aurel32.net>2015-12-20 16:36:45 +0100
commit5537f466d620552e7f24d52a9b97ced736d2abb1 (patch)
treee42c28925b9cb4b816e358b9d5cfb62d9e105af7 /sysdeps/i386
parent83d776f979342f923b5c3d2a5b43afab841c6086 (diff)
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i386: move ULPs to i686/multiarch and regenerate new ones for i386
The i386 ULPs are actually the i686/multiarch ones. The i686/multiarch float ULPs are more precise as the SSE2 version (when available) uses double for the cosf and sinf functions. On the other hand the higher precision of the x86 FPU improves the precision for a few other math functions. * sysdeps/i386/fpu/libm-test-ulps: Move to .... * sysdeps/i386/i686/multiarch/fpu/libm-test-ulps: ...here. * sysdeps/i386/fpu/libm-test-ulps: Regenerate.
Diffstat (limited to 'sysdeps/i386')
-rw-r--r--sysdeps/i386/fpu/libm-test-ulps126
-rw-r--r--sysdeps/i386/i686/fpu/multiarch/libm-test-ulps2176
2 files changed, 2246 insertions, 56 deletions
diff --git a/sysdeps/i386/fpu/libm-test-ulps b/sysdeps/i386/fpu/libm-test-ulps
index bbb644a591..84da4753eb 100644
--- a/sysdeps/i386/fpu/libm-test-ulps
+++ b/sysdeps/i386/fpu/libm-test-ulps
@@ -725,9 +725,9 @@ ldouble: 1
Function: Real part of "ccosh_downward":
double: 1
-float: 2
+float: 1
idouble: 1
-ifloat: 2
+ifloat: 1
ildouble: 3
ldouble: 3
@@ -960,24 +960,32 @@ ildouble: 1
ldouble: 1
Function: "cos":
+float: 1
+ifloat: 1
ildouble: 1
ldouble: 1
Function: "cos_downward":
double: 1
+float: 1
idouble: 1
+ifloat: 1
ildouble: 3
ldouble: 3
Function: "cos_towardzero":
double: 1
+float: 1
idouble: 1
+ifloat: 1
ildouble: 2
ldouble: 2
Function: "cos_upward":
double: 1
+float: 1
idouble: 1
+ifloat: 1
ildouble: 2
ldouble: 2
@@ -1021,9 +1029,7 @@ ildouble: 3
ldouble: 3
Function: Imaginary part of "cpow":
-double: 1
float: 2
-idouble: 1
ifloat: 2
ildouble: 4
ldouble: 4
@@ -1085,9 +1091,7 @@ ildouble: 1
ldouble: 1
Function: Imaginary part of "csin":
-double: 1
float: 1
-idouble: 1
ifloat: 1
Function: Real part of "csin_downward":
@@ -1127,22 +1131,18 @@ double: 3
float: 2
idouble: 3
ifloat: 2
-ildouble: 3
-ldouble: 3
+ildouble: 2
+ldouble: 2
Function: Imaginary part of "csin_upward":
double: 2
float: 2
idouble: 2
ifloat: 2
-ildouble: 3
-ldouble: 3
+ildouble: 2
+ldouble: 2
Function: Real part of "csinh":
-double: 1
-float: 1
-idouble: 1
-ifloat: 1
ildouble: 1
ldouble: 1
@@ -1156,9 +1156,9 @@ ldouble: 1
Function: Real part of "csinh_downward":
double: 1
-float: 2
+float: 1
idouble: 1
-ifloat: 2
+ifloat: 1
ildouble: 3
ldouble: 3
@@ -1172,9 +1172,9 @@ ldouble: 3
Function: Real part of "csinh_towardzero":
double: 1
-float: 2
+float: 1
idouble: 1
-ifloat: 2
+ifloat: 1
ildouble: 3
ldouble: 3
@@ -1191,16 +1191,16 @@ double: 2
float: 2
idouble: 2
ifloat: 2
-ildouble: 3
-ldouble: 3
+ildouble: 2
+ldouble: 2
Function: Imaginary part of "csinh_upward":
double: 3
float: 2
idouble: 3
ifloat: 2
-ildouble: 3
-ldouble: 3
+ildouble: 2
+ldouble: 2
Function: Real part of "csqrt":
double: 1
@@ -1282,33 +1282,33 @@ ldouble: 1
Function: Real part of "ctan_downward":
double: 1
-float: 2
+float: 1
idouble: 1
-ifloat: 2
+ifloat: 1
ildouble: 5
ldouble: 5
Function: Imaginary part of "ctan_downward":
double: 2
-float: 2
+float: 1
idouble: 2
-ifloat: 2
+ifloat: 1
ildouble: 4
ldouble: 4
Function: Real part of "ctan_towardzero":
double: 3
-float: 1
+float: 2
idouble: 3
-ifloat: 1
+ifloat: 2
ildouble: 5
ldouble: 5
Function: Imaginary part of "ctan_towardzero":
double: 2
-float: 1
+float: 3
idouble: 2
-ifloat: 1
+ifloat: 3
ildouble: 4
ldouble: 4
@@ -1362,17 +1362,17 @@ ldouble: 4
Function: Real part of "ctanh_towardzero":
double: 2
-float: 1
+float: 3
idouble: 2
-ifloat: 1
+ifloat: 3
ildouble: 4
ldouble: 4
Function: Imaginary part of "ctanh_towardzero":
double: 2
-float: 1
+float: 2
idouble: 2
-ifloat: 1
+ifloat: 2
ildouble: 3
ldouble: 3
@@ -1526,9 +1526,7 @@ ldouble: 2
Function: "exp_upward":
double: 1
-float: 1
idouble: 1
-ifloat: 1
ildouble: 1
ldouble: 1
@@ -1564,9 +1562,9 @@ ldouble: 4
Function: "gamma":
double: 3
-float: 3
+float: 2
idouble: 3
-ifloat: 3
+ifloat: 2
ildouble: 4
ldouble: 4
@@ -1580,9 +1578,9 @@ ldouble: 7
Function: "gamma_towardzero":
double: 4
-float: 4
+float: 2
idouble: 4
-ifloat: 4
+ifloat: 2
ildouble: 7
ldouble: 7
@@ -1716,9 +1714,9 @@ ldouble: 5
Function: "lgamma":
double: 3
-float: 3
+float: 2
idouble: 3
-ifloat: 3
+ifloat: 2
ildouble: 4
ldouble: 4
@@ -1732,9 +1730,9 @@ ldouble: 7
Function: "lgamma_towardzero":
double: 4
-float: 4
+float: 2
idouble: 4
-ifloat: 4
+ifloat: 2
ildouble: 7
ldouble: 7
@@ -1913,46 +1911,62 @@ ildouble: 2
ldouble: 2
Function: "sin":
+float: 1
+ifloat: 1
ildouble: 1
ldouble: 1
Function: "sin_downward":
double: 1
+float: 1
idouble: 1
+ifloat: 1
ildouble: 3
ldouble: 3
Function: "sin_towardzero":
double: 1
+float: 1
idouble: 1
+ifloat: 1
ildouble: 2
ldouble: 2
Function: "sin_upward":
double: 1
+float: 1
idouble: 1
+ifloat: 1
ildouble: 3
ldouble: 3
Function: "sincos":
+float: 1
+ifloat: 1
ildouble: 1
ldouble: 1
Function: "sincos_downward":
double: 1
+float: 1
idouble: 1
+ifloat: 1
ildouble: 3
ldouble: 3
Function: "sincos_towardzero":
double: 1
+float: 1
idouble: 1
+ifloat: 1
ildouble: 2
ldouble: 2
Function: "sincos_upward":
double: 1
+float: 1
idouble: 1
+ifloat: 1
ildouble: 3
ldouble: 3
@@ -2055,25 +2069,25 @@ ldouble: 5
Function: "tgamma_downward":
double: 3
-float: 4
+float: 3
idouble: 3
-ifloat: 4
+ifloat: 3
ildouble: 5
ldouble: 5
Function: "tgamma_towardzero":
-double: 4
-float: 4
-idouble: 4
-ifloat: 4
+double: 3
+float: 3
+idouble: 3
+ifloat: 3
ildouble: 5
ldouble: 5
Function: "tgamma_upward":
-double: 4
-float: 4
-idouble: 4
-ifloat: 4
+double: 3
+float: 3
+idouble: 3
+ifloat: 3
ildouble: 5
ldouble: 5
@@ -2135,9 +2149,9 @@ ldouble: 5
Function: "y1_upward":
double: 1
-float: 3
+float: 2
idouble: 1
-ifloat: 3
+ifloat: 2
ildouble: 7
ldouble: 7
diff --git a/sysdeps/i386/i686/fpu/multiarch/libm-test-ulps b/sysdeps/i386/i686/fpu/multiarch/libm-test-ulps
new file mode 100644
index 0000000000..bbb644a591
--- /dev/null
+++ b/sysdeps/i386/i686/fpu/multiarch/libm-test-ulps
@@ -0,0 +1,2176 @@
+# Begin of automatic generation
+
+# Maximal error of functions:
+Function: "acos":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+
+Function: "acos_downward":
+ildouble: 2
+ldouble: 2
+
+Function: "acos_towardzero":
+ildouble: 2
+ldouble: 2
+
+Function: "acos_upward":
+double: 1
+idouble: 1
+ildouble: 2
+ldouble: 2
+
+Function: "acosh":
+double: 1
+idouble: 1
+ildouble: 4
+ldouble: 2
+
+Function: "acosh_downward":
+double: 1
+idouble: 1
+ildouble: 6
+ldouble: 4
+
+Function: "acosh_towardzero":
+double: 1
+idouble: 1
+ildouble: 6
+ldouble: 4
+
+Function: "acosh_upward":
+double: 1
+idouble: 1
+ildouble: 4
+ldouble: 3
+
+Function: "asin":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+
+Function: "asin_downward":
+double: 1
+idouble: 1
+ildouble: 2
+ldouble: 2
+
+Function: "asin_towardzero":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+
+Function: "asin_upward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+Function: "asinh":
+double: 1
+idouble: 1
+ildouble: 3
+ldouble: 3
+
+Function: "asinh_downward":
+double: 1
+float: 1
+idouble: 1
+ildouble: 5
+ldouble: 5
+
+Function: "asinh_towardzero":
+double: 1
+float: 1
+idouble: 1
+ildouble: 4
+ldouble: 4
+
+Function: "asinh_upward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 5
+ldouble: 5
+
+Function: "atan":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+
+Function: "atan2":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+
+Function: "atan2_downward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+Function: "atan2_towardzero":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+Function: "atan2_upward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+Function: "atan_downward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+Function: "atan_towardzero":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+Function: "atan_upward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+Function: "atanh":
+double: 1
+idouble: 1
+ildouble: 3
+ldouble: 3
+
+Function: "atanh_downward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 3
+ldouble: 4
+
+Function: "atanh_towardzero":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 5
+ldouble: 3
+
+Function: "atanh_upward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 5
+ldouble: 5
+
+Function: "cabs":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+
+Function: "cabs_downward":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+
+Function: "cabs_towardzero":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+
+Function: "cabs_upward":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+
+Function: Real part of "cacos":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+Function: Imaginary part of "cacos":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 2
+ldouble: 2
+
+Function: Real part of "cacos_downward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 2
+ldouble: 2
+
+Function: Imaginary part of "cacos_downward":
+double: 4
+float: 3
+idouble: 4
+ifloat: 3
+ildouble: 5
+ldouble: 5
+
+Function: Real part of "cacos_towardzero":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 2
+ldouble: 2
+
+Function: Imaginary part of "cacos_towardzero":
+double: 4
+float: 3
+idouble: 4
+ifloat: 3
+ildouble: 5
+ldouble: 5
+
+Function: Real part of "cacos_upward":
+double: 2
+float: 2
+idouble: 2
+ifloat: 2
+ildouble: 2
+ldouble: 2
+
+Function: Imaginary part of "cacos_upward":
+double: 4
+float: 4
+idouble: 4
+ifloat: 4
+ildouble: 5
+ldouble: 5
+
+Function: Real part of "cacosh":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 2
+ldouble: 2
+
+Function: Imaginary part of "cacosh":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+Function: Real part of "cacosh_downward":
+double: 4
+float: 3
+idouble: 4
+ifloat: 3
+ildouble: 5
+ldouble: 5
+
+Function: Imaginary part of "cacosh_downward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 2
+ldouble: 2
+
+Function: Real part of "cacosh_towardzero":
+double: 4
+float: 3
+idouble: 4
+ifloat: 3
+ildouble: 5
+ldouble: 5
+
+Function: Imaginary part of "cacosh_towardzero":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 2
+ldouble: 2
+
+Function: Real part of "cacosh_upward":
+double: 4
+float: 4
+idouble: 4
+ifloat: 4
+ildouble: 5
+ldouble: 5
+
+Function: Imaginary part of "cacosh_upward":
+double: 2
+float: 2
+idouble: 2
+ifloat: 2
+ildouble: 2
+ldouble: 2
+
+Function: "carg":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+
+Function: "carg_downward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+Function: "carg_towardzero":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+Function: "carg_upward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+Function: Real part of "casin":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+Function: Imaginary part of "casin":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 2
+ldouble: 2
+
+Function: Real part of "casin_downward":
+double: 2
+float: 2
+idouble: 2
+ifloat: 2
+ildouble: 2
+ldouble: 2
+
+Function: Imaginary part of "casin_downward":
+double: 4
+float: 3
+idouble: 4
+ifloat: 3
+ildouble: 5
+ldouble: 5
+
+Function: Real part of "casin_towardzero":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 2
+ldouble: 2
+
+Function: Imaginary part of "casin_towardzero":
+double: 4
+float: 3
+idouble: 4
+ifloat: 3
+ildouble: 5
+ldouble: 5
+
+Function: Real part of "casin_upward":
+double: 2
+float: 2
+idouble: 2
+ifloat: 2
+ildouble: 2
+ldouble: 2
+
+Function: Imaginary part of "casin_upward":
+double: 4
+float: 4
+idouble: 4
+ifloat: 4
+ildouble: 5
+ldouble: 5
+
+Function: Real part of "casinh":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 2
+ldouble: 2
+
+Function: Imaginary part of "casinh":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+Function: Real part of "casinh_downward":
+double: 4
+float: 3
+idouble: 4
+ifloat: 3
+ildouble: 5
+ldouble: 5
+
+Function: Imaginary part of "casinh_downward":
+double: 2
+float: 2
+idouble: 2
+ifloat: 2
+ildouble: 2
+ldouble: 2
+
+Function: Real part of "casinh_towardzero":
+double: 4
+float: 3
+idouble: 4
+ifloat: 3
+ildouble: 5
+ldouble: 5
+
+Function: Imaginary part of "casinh_towardzero":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 2
+ldouble: 2
+
+Function: Real part of "casinh_upward":
+double: 4
+float: 4
+idouble: 4
+ifloat: 4
+ildouble: 5
+ldouble: 5
+
+Function: Imaginary part of "casinh_upward":
+double: 2
+float: 2
+idouble: 2
+ifloat: 2
+ildouble: 2
+ldouble: 2
+
+Function: Imaginary part of "catan":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+Function: Real part of "catan_downward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+Function: Imaginary part of "catan_downward":
+double: 2
+float: 1
+idouble: 2
+ifloat: 1
+ildouble: 4
+ldouble: 4
+
+Function: Real part of "catan_towardzero":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+Function: Imaginary part of "catan_towardzero":
+double: 2
+float: 1
+idouble: 2
+ifloat: 1
+ildouble: 4
+ldouble: 4
+
+Function: Real part of "catan_upward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+Function: Imaginary part of "catan_upward":
+double: 2
+float: 2
+idouble: 2
+ifloat: 2
+ildouble: 3
+ldouble: 3
+
+Function: Real part of "catanh":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+Function: Real part of "catanh_downward":
+double: 2
+float: 1
+idouble: 2
+ifloat: 1
+ildouble: 4
+ldouble: 4
+
+Function: Imaginary part of "catanh_downward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+Function: Real part of "catanh_towardzero":
+double: 2
+float: 1
+idouble: 2
+ifloat: 1
+ildouble: 4
+ldouble: 4
+
+Function: Imaginary part of "catanh_towardzero":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+Function: Real part of "catanh_upward":
+double: 2
+float: 2
+idouble: 2
+ifloat: 2
+ildouble: 4
+ldouble: 4
+
+Function: Imaginary part of "catanh_upward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+Function: "cbrt":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 3
+ldouble: 3
+
+Function: "cbrt_downward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 4
+ldouble: 4
+
+Function: "cbrt_towardzero":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 3
+ldouble: 3
+
+Function: "cbrt_upward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 4
+ldouble: 4
+
+Function: Real part of "ccos":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+Function: Imaginary part of "ccos":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+Function: Real part of "ccos_downward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 3
+ldouble: 3
+
+Function: Imaginary part of "ccos_downward":
+double: 3
+float: 3
+idouble: 3
+ifloat: 3
+ildouble: 3
+ldouble: 3
+
+Function: Real part of "ccos_towardzero":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 3
+ldouble: 3
+
+Function: Imaginary part of "ccos_towardzero":
+double: 3
+float: 3
+idouble: 3
+ifloat: 3
+ildouble: 3
+ldouble: 3
+
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+
+Function: "log_downward":
+double: 1
+idouble: 1
+ildouble: 2
+ldouble: 2
+
+Function: "log_towardzero":
+double: 1
+idouble: 1
+ildouble: 2
+ldouble: 2
+
+Function: "log_upward":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+
+Function: "pow":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+
+Function: "pow10":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+
+Function: "pow10_downward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 2
+ldouble: 2
+
+Function: "pow10_towardzero":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 2
+ldouble: 2
+
+Function: "pow10_upward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 2
+ldouble: 2
+
+Function: "pow_downward":
+double: 1
+idouble: 1
+ildouble: 4
+ldouble: 4
+
+Function: "pow_towardzero":
+double: 1
+idouble: 1
+ildouble: 1
+ldouble: 1
+
+Function: "pow_upward":
+double: 1
+idouble: 1
+ildouble: 2
+ldouble: 2
+
+Function: "sin":
+ildouble: 1
+ldouble: 1
+
+Function: "sin_downward":
+double: 1
+idouble: 1
+ildouble: 3
+ldouble: 3
+
+Function: "sin_towardzero":
+double: 1
+idouble: 1
+ildouble: 2
+ldouble: 2
+
+Function: "sin_upward":
+double: 1
+idouble: 1
+ildouble: 3
+ldouble: 3
+
+Function: "sincos":
+ildouble: 1
+ldouble: 1
+
+Function: "sincos_downward":
+double: 1
+idouble: 1
+ildouble: 3
+ldouble: 3
+
+Function: "sincos_towardzero":
+double: 1
+idouble: 1
+ildouble: 2
+ldouble: 2
+
+Function: "sincos_upward":
+double: 1
+idouble: 1
+ildouble: 3
+ldouble: 3
+
+Function: "sinh":
+double: 1
+ildouble: 2
+ldouble: 2
+
+Function: "sinh_downward":
+double: 2
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 4
+ldouble: 5
+
+Function: "sinh_towardzero":
+double: 2
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 3
+ldouble: 4
+
+Function: "sinh_upward":
+double: 4
+float: 2
+idouble: 1
+ifloat: 1
+ildouble: 4
+ldouble: 5
+
+Function: "tan":
+float: 1
+ifloat: 1
+ildouble: 2
+ldouble: 2
+
+Function: "tan_downward":
+double: 1
+float: 2
+idouble: 1
+ifloat: 2
+ildouble: 3
+ldouble: 3
+
+Function: "tan_towardzero":
+double: 1
+float: 2
+idouble: 1
+ifloat: 2
+ildouble: 3
+ldouble: 3
+
+Function: "tan_upward":
+double: 1
+float: 2
+idouble: 1
+ifloat: 2
+ildouble: 2
+ldouble: 2
+
+Function: "tanh":
+double: 1
+idouble: 1
+ildouble: 3
+ldouble: 3
+
+Function: "tanh_downward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 7
+ldouble: 4
+
+Function: "tanh_towardzero":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 3
+ldouble: 3
+
+Function: "tanh_upward":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 5
+ldouble: 4
+
+Function: "tgamma":
+double: 3
+float: 3
+idouble: 3
+ifloat: 3
+ildouble: 5
+ldouble: 5
+
+Function: "tgamma_downward":
+double: 3
+float: 4
+idouble: 3
+ifloat: 4
+ildouble: 5
+ldouble: 5
+
+Function: "tgamma_towardzero":
+double: 4
+float: 4
+idouble: 4
+ifloat: 4
+ildouble: 5
+ldouble: 5
+
+Function: "tgamma_upward":
+double: 4
+float: 4
+idouble: 4
+ifloat: 4
+ildouble: 5
+ldouble: 5
+
+Function: "y0":
+double: 1
+float: 1
+idouble: 1
+ifloat: 1
+ildouble: 1
+ldouble: 1
+
+Function: "y0_downward":
+double: 2
+float: 2
+idouble: 2
+ifloat: 2
+ildouble: 5
+ldouble: 5
+
+Function: "y0_towardzero":
+double: 2
+float: 2
+idouble: 2
+ifloat: 2
+ildouble: 5
+ldouble: 5
+
+Function: "y0_upward":
+double: 1
+float: 2
+idouble: 1
+ifloat: 2
+ildouble: 3
+ldouble: 3
+
+Function: "y1":
+double: 2
+float: 2
+idouble: 2
+ifloat: 2
+ildouble: 2
+ldouble: 2
+
+Function: "y1_downward":
+double: 2
+float: 2
+idouble: 2
+ifloat: 2
+ildouble: 7
+ldouble: 7
+
+Function: "y1_towardzero":
+double: 2
+float: 2
+idouble: 2
+ifloat: 2
+ildouble: 5
+ldouble: 5
+
+Function: "y1_upward":
+double: 1
+float: 3
+idouble: 1
+ifloat: 3
+ildouble: 7
+ldouble: 7
+
+Function: "yn":
+double: 2
+float: 3
+idouble: 2
+ifloat: 3
+ildouble: 4
+ldouble: 4
+
+Function: "yn_downward":
+double: 2
+float: 2
+idouble: 2
+ifloat: 2
+ildouble: 5
+ldouble: 5
+
+Function: "yn_towardzero":
+double: 3
+float: 3
+idouble: 3
+ifloat: 3
+ildouble: 5
+ldouble: 5
+
+Function: "yn_upward":
+double: 3
+float: 3
+idouble: 3
+ifloat: 3
+ildouble: 4
+ldouble: 4
+
+# end of automatic generation