mirror of
https://sourceware.org/git/glibc.git
synced 2024-11-22 21:10:07 +00:00
392b3f0971
The CORE-MATH implementation is correctly rounded (for any rounding mode).
This can be checked by exhaustive tests in a few minutes since there are
less than 2^32 values to check against for example GNU MPFR.
This patch also adds some bench values for tgammaf.
Tested on x86_64 and x86 (cfarm26).
With the initial GNU libc code it gave on an Intel(R) Core(TM) i7-8700:
"tgammaf": {
"": {
"duration": 3.50188e+09,
"iterations": 2e+07,
"max": 602.891,
"min": 65.1415,
"mean": 175.094
}
}
With the new code:
"tgammaf": {
"": {
"duration": 3.30825e+09,
"iterations": 5e+07,
"max": 211.592,
"min": 32.0325,
"mean": 66.1649
}
}
With the initial GNU libc code it gave on cfarm26 (i686):
"tgammaf": {
"": {
"duration": 3.70505e+09,
"iterations": 6e+06,
"max": 2420.23,
"min": 243.154,
"mean": 617.509
}
}
With the new code:
"tgammaf": {
"": {
"duration": 3.24497e+09,
"iterations": 1.8e+07,
"max": 1238.15,
"min": 101.155,
"mean": 180.276
}
}
Signed-off-by: Alexei Sibidanov <sibid@uvic.ca>
Signed-off-by: Paul Zimmermann <Paul.Zimmermann@inria.fr>
Changes in v2:
- include <math.h> (fix the linknamespace failures)
- restored original benchtests/strcoll-inputs/filelist#en_US.UTF-8 file
- restored original wrapper code (math/w_tgammaf_compat.c),
except for the dealing with the sign
- removed the tgammaf/float entries in all libm-test-ulps files
- address other comments from Joseph Myers
(https://sourceware.org/pipermail/libc-alpha/2024-July/158736.html)
Changes in v3:
- pass NULL argument for signgam from w_tgammaf_compat.c
- use of math_narrow_eval
- added more comments
Changes in v4:
- initialize local_signgam to 0 in math/w_tgamma_template.c
- replace sysdeps/ieee754/dbl-64/gamma_productf.c by dummy file
Changes in v5:
- do not mention local_signgam any more in math/w_tgammaf_compat.c
- initialize local_signgam to 1 instead of 0 in w_tgamma_template.c
and added comment
Changes in v6:
- pass NULL as 2nd argument of __ieee754_gammaf_r in
w_tgammaf_compat.c, and check for NULL in e_gammaf_r.c
Changes in v7:
- added Signed-off-by line for Alexei Sibidanov (author of the code)
Changes in v8:
- added Signed-off-by line for Paul Zimmermann (submitted of the patch)
Changes in v9:
- address comments from review by Adhemerval Zanella
Reviewed-by: Adhemerval Zanella <adhemerval.zanella@linaro.org>
1793 lines
22 KiB
Plaintext
1793 lines
22 KiB
Plaintext
# Begin of automatic generation
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# Maximal error of functions:
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Function: "acos":
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double: 1
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float128: 1
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ldouble: 2
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Function: "acos_downward":
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float128: 1
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ldouble: 2
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Function: "acos_towardzero":
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float128: 1
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ldouble: 2
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Function: "acos_upward":
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double: 1
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float128: 1
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ldouble: 2
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Function: "acosh":
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double: 1
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float128: 4
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ldouble: 3
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Function: "acosh_downward":
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double: 1
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float128: 3
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ldouble: 4
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Function: "acosh_towardzero":
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double: 1
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float128: 2
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ldouble: 4
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Function: "acosh_upward":
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double: 1
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float128: 3
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ldouble: 3
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Function: "asin":
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double: 1
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float128: 1
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ldouble: 1
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Function: "asin_downward":
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double: 1
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float128: 2
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ldouble: 2
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Function: "asin_towardzero":
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double: 1
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float128: 1
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ldouble: 1
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Function: "asin_upward":
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double: 1
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float: 1
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float128: 2
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ldouble: 1
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Function: "asinh":
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double: 1
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float128: 4
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ldouble: 3
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Function: "asinh_downward":
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double: 1
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float: 1
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float128: 4
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ldouble: 5
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Function: "asinh_towardzero":
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double: 1
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float: 1
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float128: 2
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ldouble: 4
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Function: "asinh_upward":
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double: 1
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float: 1
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float128: 4
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ldouble: 5
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Function: "atan":
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double: 1
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float128: 1
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ldouble: 1
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Function: "atan2":
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double: 1
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float128: 2
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ldouble: 1
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Function: "atan2_downward":
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double: 1
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float: 1
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float128: 2
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ldouble: 1
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Function: "atan2_towardzero":
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double: 1
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float: 1
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float128: 3
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ldouble: 1
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Function: "atan2_upward":
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double: 1
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float: 1
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float128: 2
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ldouble: 1
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Function: "atan_downward":
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double: 1
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float: 1
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float128: 2
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ldouble: 1
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Function: "atan_towardzero":
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double: 1
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float: 1
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float128: 1
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ldouble: 1
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Function: "atan_upward":
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double: 1
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float: 1
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float128: 2
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ldouble: 1
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Function: "atanh":
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double: 1
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float128: 4
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ldouble: 3
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Function: "atanh_downward":
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double: 1
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float: 1
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float128: 4
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ldouble: 4
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Function: "atanh_towardzero":
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double: 1
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float: 1
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float128: 2
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ldouble: 3
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Function: "atanh_upward":
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double: 1
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float: 1
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float128: 4
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ldouble: 5
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Function: "cabs":
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double: 1
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float128: 1
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ldouble: 1
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Function: "cabs_downward":
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double: 1
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float128: 1
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ldouble: 1
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Function: "cabs_towardzero":
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double: 1
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float128: 1
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ldouble: 1
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Function: "cabs_upward":
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double: 1
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float128: 1
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ldouble: 1
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Function: Real part of "cacos":
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double: 1
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float: 2
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float128: 2
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ldouble: 1
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Function: Imaginary part of "cacos":
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double: 2
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float: 2
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float128: 2
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ldouble: 2
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Function: Real part of "cacos_downward":
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double: 1
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float: 1
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float128: 3
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ldouble: 2
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Function: Imaginary part of "cacos_downward":
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double: 5
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float: 3
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float128: 6
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ldouble: 6
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Function: Real part of "cacos_towardzero":
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double: 1
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float: 1
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float128: 3
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ldouble: 2
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Function: Imaginary part of "cacos_towardzero":
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double: 4
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float: 3
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float128: 5
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ldouble: 5
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Function: Real part of "cacos_upward":
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double: 2
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float: 2
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float128: 3
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ldouble: 2
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Function: Imaginary part of "cacos_upward":
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double: 7
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float: 7
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float128: 7
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ldouble: 7
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Function: Real part of "cacosh":
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double: 2
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float: 2
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float128: 2
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ldouble: 2
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Function: Imaginary part of "cacosh":
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double: 1
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float: 2
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float128: 2
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ldouble: 1
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Function: Real part of "cacosh_downward":
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double: 4
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float: 3
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float128: 5
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ldouble: 5
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Function: Imaginary part of "cacosh_downward":
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double: 2
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float: 2
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float128: 4
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ldouble: 3
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Function: Real part of "cacosh_towardzero":
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double: 4
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float: 3
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float128: 5
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ldouble: 5
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Function: Imaginary part of "cacosh_towardzero":
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double: 1
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float: 1
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float128: 3
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ldouble: 2
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Function: Real part of "cacosh_upward":
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double: 5
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float: 4
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float128: 6
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ldouble: 5
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Function: Imaginary part of "cacosh_upward":
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double: 3
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float: 2
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float128: 4
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ldouble: 3
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Function: "carg":
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double: 1
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float128: 2
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ldouble: 1
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Function: "carg_downward":
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double: 1
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float: 1
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float128: 2
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ldouble: 1
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Function: "carg_towardzero":
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double: 1
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float: 1
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float128: 3
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ldouble: 1
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Function: "carg_upward":
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double: 1
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float: 1
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float128: 2
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ldouble: 1
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Function: Real part of "casin":
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double: 1
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float: 1
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float128: 2
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ldouble: 1
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Function: Imaginary part of "casin":
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double: 2
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float: 2
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float128: 2
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ldouble: 2
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Function: Real part of "casin_downward":
|
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double: 3
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float: 2
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float128: 3
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ldouble: 3
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Function: Imaginary part of "casin_downward":
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double: 5
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float: 3
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float128: 6
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ldouble: 6
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|
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Function: Real part of "casin_towardzero":
|
|
double: 3
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float: 1
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float128: 3
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ldouble: 3
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|
|
Function: Imaginary part of "casin_towardzero":
|
|
double: 4
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float: 3
|
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float128: 5
|
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ldouble: 5
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|
|
Function: Real part of "casin_upward":
|
|
double: 2
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float: 2
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float128: 3
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ldouble: 2
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|
|
Function: Imaginary part of "casin_upward":
|
|
double: 7
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float: 7
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float128: 7
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ldouble: 7
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|
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Function: Real part of "casinh":
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double: 2
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float: 2
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float128: 2
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ldouble: 2
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Function: Imaginary part of "casinh":
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double: 1
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float: 1
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float128: 2
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ldouble: 1
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Function: Real part of "casinh_downward":
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double: 5
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float: 3
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float128: 6
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ldouble: 6
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Function: Imaginary part of "casinh_downward":
|
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double: 3
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float: 2
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float128: 3
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ldouble: 3
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|
|
Function: Real part of "casinh_towardzero":
|
|
double: 4
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|
float: 3
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float128: 5
|
|
ldouble: 5
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|
|
|
Function: Imaginary part of "casinh_towardzero":
|
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double: 3
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float: 1
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float128: 3
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ldouble: 3
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|
|
|
Function: Real part of "casinh_upward":
|
|
double: 7
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float: 7
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|
float128: 7
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ldouble: 7
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|
|
Function: Imaginary part of "casinh_upward":
|
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double: 2
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float: 2
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float128: 3
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ldouble: 2
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|
|
Function: Real part of "catan":
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double: 1
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float128: 1
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ldouble: 1
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|
|
Function: Imaginary part of "catan":
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|
double: 1
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float: 1
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float128: 1
|
|
ldouble: 1
|
|
|
|
Function: Real part of "catan_downward":
|
|
double: 1
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float: 1
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|
float128: 2
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|
ldouble: 1
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|
|
Function: Imaginary part of "catan_downward":
|
|
double: 2
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|
float: 1
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|
float128: 2
|
|
ldouble: 4
|
|
|
|
Function: Real part of "catan_towardzero":
|
|
double: 1
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|
float: 1
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float128: 2
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|
ldouble: 1
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|
|
|
Function: Imaginary part of "catan_towardzero":
|
|
double: 2
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float: 1
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float128: 2
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ldouble: 4
|
|
|
|
Function: Real part of "catan_upward":
|
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double: 1
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float: 1
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|
float128: 2
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|
ldouble: 1
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|
|
Function: Imaginary part of "catan_upward":
|
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double: 2
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float: 2
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float128: 3
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ldouble: 3
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Function: Real part of "catanh":
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double: 1
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float: 1
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float128: 1
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ldouble: 1
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Function: Imaginary part of "catanh":
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double: 1
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float128: 1
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ldouble: 1
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Function: Real part of "catanh_downward":
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double: 2
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float: 1
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float128: 2
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ldouble: 4
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|
|
Function: Imaginary part of "catanh_downward":
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double: 1
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float: 1
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float128: 2
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ldouble: 1
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|
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Function: Real part of "catanh_towardzero":
|
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double: 2
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float: 1
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float128: 2
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ldouble: 4
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Function: Imaginary part of "catanh_towardzero":
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double: 1
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float: 1
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float128: 2
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ldouble: 1
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|
|
Function: Real part of "catanh_upward":
|
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double: 4
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float: 4
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float128: 4
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ldouble: 4
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|
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Function: Imaginary part of "catanh_upward":
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double: 1
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float: 1
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float128: 2
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ldouble: 1
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Function: "cbrt":
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double: 1
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float: 1
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float128: 1
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ldouble: 3
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Function: "cbrt_downward":
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double: 1
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float: 1
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float128: 1
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ldouble: 4
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Function: "cbrt_towardzero":
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double: 1
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float: 1
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float128: 1
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ldouble: 3
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|
Function: "cbrt_upward":
|
|
double: 1
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|
float: 1
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float128: 1
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ldouble: 4
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|
|
Function: Real part of "ccos":
|
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double: 1
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float: 1
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float128: 1
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ldouble: 1
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|
|
Function: Imaginary part of "ccos":
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double: 1
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float: 1
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float128: 1
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ldouble: 1
|
|
|
|
Function: Real part of "ccos_downward":
|
|
double: 1
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|
float: 1
|
|
float128: 2
|
|
ldouble: 3
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|
|
|
Function: Imaginary part of "ccos_downward":
|
|
double: 3
|
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float: 3
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float128: 2
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ldouble: 3
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|
Function: Real part of "ccos_towardzero":
|
|
double: 1
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|
float: 2
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float128: 2
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ldouble: 3
|
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|
|
Function: Imaginary part of "ccos_towardzero":
|
|
double: 3
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float: 3
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float128: 2
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|
ldouble: 3
|
|
|
|
Function: Real part of "ccos_upward":
|
|
double: 2
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 2
|
|
|
|
Function: Imaginary part of "ccos_upward":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 2
|
|
|
|
Function: Real part of "ccosh":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: Imaginary part of "ccosh":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: Real part of "ccosh_downward":
|
|
double: 2
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|
float: 2
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: Imaginary part of "ccosh_downward":
|
|
double: 3
|
|
float: 3
|
|
float128: 2
|
|
ldouble: 3
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|
|
|
Function: Real part of "ccosh_towardzero":
|
|
double: 2
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float: 3
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float128: 2
|
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ldouble: 3
|
|
|
|
Function: Imaginary part of "ccosh_towardzero":
|
|
double: 3
|
|
float: 3
|
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float128: 2
|
|
ldouble: 3
|
|
|
|
Function: Real part of "ccosh_upward":
|
|
double: 2
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 2
|
|
|
|
Function: Imaginary part of "ccosh_upward":
|
|
double: 3
|
|
float: 2
|
|
float128: 2
|
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ldouble: 2
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|
|
|
Function: Real part of "cexp":
|
|
double: 2
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: Imaginary part of "cexp":
|
|
double: 1
|
|
float: 2
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: Real part of "cexp_downward":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: Imaginary part of "cexp_downward":
|
|
double: 3
|
|
float: 3
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: Real part of "cexp_towardzero":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: Imaginary part of "cexp_towardzero":
|
|
double: 3
|
|
float: 3
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: Real part of "cexp_upward":
|
|
double: 1
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 2
|
|
|
|
Function: Imaginary part of "cexp_upward":
|
|
double: 3
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: Real part of "clog":
|
|
double: 2
|
|
float: 3
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: Imaginary part of "clog":
|
|
double: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: Real part of "clog10":
|
|
double: 3
|
|
float: 4
|
|
float128: 2
|
|
ldouble: 4
|
|
|
|
Function: Imaginary part of "clog10":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 2
|
|
|
|
Function: Real part of "clog10_downward":
|
|
double: 4
|
|
float: 4
|
|
float128: 3
|
|
ldouble: 8
|
|
|
|
Function: Imaginary part of "clog10_downward":
|
|
double: 2
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: Real part of "clog10_towardzero":
|
|
double: 5
|
|
float: 5
|
|
float128: 4
|
|
ldouble: 8
|
|
|
|
Function: Imaginary part of "clog10_towardzero":
|
|
double: 2
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: Real part of "clog10_upward":
|
|
double: 4
|
|
float: 5
|
|
float128: 4
|
|
ldouble: 8
|
|
|
|
Function: Imaginary part of "clog10_upward":
|
|
double: 2
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: Real part of "clog_downward":
|
|
double: 3
|
|
float: 3
|
|
float128: 3
|
|
ldouble: 5
|
|
|
|
Function: Imaginary part of "clog_downward":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 1
|
|
|
|
Function: Real part of "clog_towardzero":
|
|
double: 3
|
|
float: 4
|
|
float128: 3
|
|
ldouble: 5
|
|
|
|
Function: Imaginary part of "clog_towardzero":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 1
|
|
|
|
Function: Real part of "clog_upward":
|
|
double: 2
|
|
float: 3
|
|
float128: 4
|
|
ldouble: 4
|
|
|
|
Function: Imaginary part of "clog_upward":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 1
|
|
|
|
Function: "cos":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 1
|
|
|
|
Function: "cos_downward":
|
|
double: 1
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: "cos_towardzero":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 2
|
|
|
|
Function: "cos_upward":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 2
|
|
|
|
Function: "cosh":
|
|
double: 1
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: "cosh_downward":
|
|
double: 3
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: "cosh_towardzero":
|
|
double: 3
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: "cosh_upward":
|
|
double: 4
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: Real part of "cpow":
|
|
double: 2
|
|
float: 5
|
|
float128: 4
|
|
ldouble: 3
|
|
|
|
Function: Imaginary part of "cpow":
|
|
float: 2
|
|
float128: 1
|
|
ldouble: 4
|
|
|
|
Function: Real part of "cpow_downward":
|
|
double: 5
|
|
float: 8
|
|
float128: 6
|
|
ldouble: 7
|
|
|
|
Function: Imaginary part of "cpow_downward":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 2
|
|
|
|
Function: Real part of "cpow_towardzero":
|
|
double: 5
|
|
float: 8
|
|
float128: 6
|
|
ldouble: 7
|
|
|
|
Function: Imaginary part of "cpow_towardzero":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 1
|
|
|
|
Function: Real part of "cpow_upward":
|
|
double: 4
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 2
|
|
|
|
Function: Imaginary part of "cpow_upward":
|
|
double: 1
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 2
|
|
|
|
Function: Real part of "csin":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: Imaginary part of "csin":
|
|
float: 1
|
|
float128: 1
|
|
|
|
Function: Real part of "csin_downward":
|
|
double: 3
|
|
float: 3
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: Imaginary part of "csin_downward":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: Real part of "csin_towardzero":
|
|
double: 3
|
|
float: 3
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: Imaginary part of "csin_towardzero":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: Real part of "csin_upward":
|
|
double: 3
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 2
|
|
|
|
Function: Imaginary part of "csin_upward":
|
|
double: 2
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 2
|
|
|
|
Function: Real part of "csinh":
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: Imaginary part of "csinh":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: Real part of "csinh_downward":
|
|
double: 2
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: Imaginary part of "csinh_downward":
|
|
double: 3
|
|
float: 3
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: Real part of "csinh_towardzero":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: Imaginary part of "csinh_towardzero":
|
|
double: 3
|
|
float: 3
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: Real part of "csinh_upward":
|
|
double: 2
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 2
|
|
|
|
Function: Imaginary part of "csinh_upward":
|
|
double: 3
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 2
|
|
|
|
Function: Real part of "csqrt":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 2
|
|
|
|
Function: Imaginary part of "csqrt":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 2
|
|
|
|
Function: Real part of "csqrt_downward":
|
|
double: 4
|
|
float: 4
|
|
float128: 4
|
|
ldouble: 5
|
|
|
|
Function: Imaginary part of "csqrt_downward":
|
|
double: 3
|
|
float: 3
|
|
float128: 3
|
|
ldouble: 4
|
|
|
|
Function: Real part of "csqrt_towardzero":
|
|
double: 3
|
|
float: 3
|
|
float128: 3
|
|
ldouble: 4
|
|
|
|
Function: Imaginary part of "csqrt_towardzero":
|
|
double: 3
|
|
float: 3
|
|
float128: 3
|
|
ldouble: 4
|
|
|
|
Function: Real part of "csqrt_upward":
|
|
double: 4
|
|
float: 4
|
|
float128: 4
|
|
ldouble: 5
|
|
|
|
Function: Imaginary part of "csqrt_upward":
|
|
double: 3
|
|
float: 3
|
|
float128: 3
|
|
ldouble: 4
|
|
|
|
Function: Real part of "ctan":
|
|
double: 1
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 2
|
|
|
|
Function: Imaginary part of "ctan":
|
|
double: 2
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 1
|
|
|
|
Function: Real part of "ctan_downward":
|
|
double: 6
|
|
float: 5
|
|
float128: 4
|
|
ldouble: 5
|
|
|
|
Function: Imaginary part of "ctan_downward":
|
|
double: 2
|
|
float: 2
|
|
float128: 5
|
|
ldouble: 4
|
|
|
|
Function: Real part of "ctan_towardzero":
|
|
double: 5
|
|
float: 3
|
|
float128: 4
|
|
ldouble: 5
|
|
|
|
Function: Imaginary part of "ctan_towardzero":
|
|
double: 2
|
|
float: 3
|
|
float128: 5
|
|
ldouble: 4
|
|
|
|
Function: Real part of "ctan_upward":
|
|
double: 3
|
|
float: 4
|
|
float128: 5
|
|
ldouble: 3
|
|
|
|
Function: Imaginary part of "ctan_upward":
|
|
double: 2
|
|
float: 2
|
|
float128: 5
|
|
ldouble: 3
|
|
|
|
Function: Real part of "ctanh":
|
|
double: 2
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 1
|
|
|
|
Function: Imaginary part of "ctanh":
|
|
double: 2
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 2
|
|
|
|
Function: Real part of "ctanh_downward":
|
|
double: 2
|
|
float: 2
|
|
float128: 5
|
|
ldouble: 4
|
|
|
|
Function: Imaginary part of "ctanh_downward":
|
|
double: 6
|
|
float: 5
|
|
float128: 4
|
|
ldouble: 4
|
|
|
|
Function: Real part of "ctanh_towardzero":
|
|
double: 2
|
|
float: 3
|
|
float128: 5
|
|
ldouble: 4
|
|
|
|
Function: Imaginary part of "ctanh_towardzero":
|
|
double: 5
|
|
float: 3
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: Real part of "ctanh_upward":
|
|
double: 2
|
|
float: 2
|
|
float128: 5
|
|
ldouble: 3
|
|
|
|
Function: Imaginary part of "ctanh_upward":
|
|
double: 3
|
|
float: 3
|
|
float128: 5
|
|
ldouble: 3
|
|
|
|
Function: "erf":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "erf_downward":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 1
|
|
|
|
Function: "erf_towardzero":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "erf_upward":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 1
|
|
|
|
Function: "erfc":
|
|
double: 5
|
|
float: 3
|
|
float128: 4
|
|
ldouble: 5
|
|
|
|
Function: "erfc_downward":
|
|
double: 5
|
|
float: 6
|
|
float128: 5
|
|
ldouble: 4
|
|
|
|
Function: "erfc_towardzero":
|
|
double: 3
|
|
float: 4
|
|
float128: 4
|
|
ldouble: 4
|
|
|
|
Function: "erfc_upward":
|
|
double: 5
|
|
float: 6
|
|
float128: 5
|
|
ldouble: 5
|
|
|
|
Function: "exp":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "exp10":
|
|
double: 1
|
|
float128: 2
|
|
ldouble: 1
|
|
|
|
Function: "exp10_downward":
|
|
double: 1
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 2
|
|
|
|
Function: "exp10_towardzero":
|
|
double: 1
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 2
|
|
|
|
Function: "exp10_upward":
|
|
double: 1
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 2
|
|
|
|
Function: "exp10m1":
|
|
double: 3
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 4
|
|
|
|
Function: "exp10m1_downward":
|
|
double: 3
|
|
float: 3
|
|
float128: 6
|
|
ldouble: 6
|
|
|
|
Function: "exp10m1_towardzero":
|
|
double: 2
|
|
float: 2
|
|
float128: 6
|
|
ldouble: 5
|
|
|
|
Function: "exp10m1_upward":
|
|
double: 5
|
|
float: 3
|
|
float128: 6
|
|
ldouble: 6
|
|
|
|
Function: "exp2":
|
|
double: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "exp2_downward":
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "exp2_towardzero":
|
|
double: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "exp2_upward":
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 1
|
|
|
|
Function: "exp2m1":
|
|
double: 2
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: "exp2m1_downward":
|
|
double: 3
|
|
float: 3
|
|
float128: 3
|
|
ldouble: 6
|
|
|
|
Function: "exp2m1_towardzero":
|
|
double: 3
|
|
float: 2
|
|
float128: 4
|
|
ldouble: 5
|
|
|
|
Function: "exp2m1_upward":
|
|
double: 3
|
|
float: 3
|
|
float128: 5
|
|
ldouble: 6
|
|
|
|
Function: "exp_downward":
|
|
double: 1
|
|
float: 1
|
|
ldouble: 1
|
|
|
|
Function: "exp_towardzero":
|
|
double: 1
|
|
float: 1
|
|
ldouble: 2
|
|
|
|
Function: "exp_upward":
|
|
double: 1
|
|
float: 1
|
|
ldouble: 1
|
|
|
|
Function: "expm1":
|
|
double: 1
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: "expm1_downward":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 4
|
|
|
|
Function: "expm1_towardzero":
|
|
double: 1
|
|
float: 1
|
|
float128: 4
|
|
ldouble: 4
|
|
|
|
Function: "expm1_upward":
|
|
double: 1
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 4
|
|
|
|
Function: "gamma":
|
|
double: 4
|
|
float: 5
|
|
ldouble: 4
|
|
|
|
Function: "gamma_downward":
|
|
double: 5
|
|
float: 5
|
|
ldouble: 7
|
|
|
|
Function: "gamma_towardzero":
|
|
double: 5
|
|
float: 6
|
|
ldouble: 7
|
|
|
|
Function: "gamma_upward":
|
|
double: 5
|
|
float: 6
|
|
ldouble: 6
|
|
|
|
Function: "hypot":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "hypot_downward":
|
|
double: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "hypot_towardzero":
|
|
double: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "hypot_upward":
|
|
double: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "j0":
|
|
double: 5
|
|
float: 9
|
|
float128: 2
|
|
ldouble: 8
|
|
|
|
Function: "j0_downward":
|
|
double: 6
|
|
float: 9
|
|
float128: 9
|
|
ldouble: 6
|
|
|
|
Function: "j0_towardzero":
|
|
double: 7
|
|
float: 9
|
|
float128: 9
|
|
ldouble: 6
|
|
|
|
Function: "j0_upward":
|
|
double: 9
|
|
float: 9
|
|
float128: 7
|
|
ldouble: 6
|
|
|
|
Function: "j1":
|
|
double: 4
|
|
float: 9
|
|
float128: 4
|
|
ldouble: 9
|
|
|
|
Function: "j1_downward":
|
|
double: 5
|
|
float: 8
|
|
float128: 4
|
|
ldouble: 4
|
|
|
|
Function: "j1_towardzero":
|
|
double: 4
|
|
float: 8
|
|
float128: 4
|
|
ldouble: 4
|
|
|
|
Function: "j1_upward":
|
|
double: 9
|
|
float: 9
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: "jn":
|
|
double: 4
|
|
float: 4
|
|
float128: 7
|
|
ldouble: 4
|
|
|
|
Function: "jn_downward":
|
|
double: 5
|
|
float: 5
|
|
float128: 8
|
|
ldouble: 4
|
|
|
|
Function: "jn_towardzero":
|
|
double: 5
|
|
float: 5
|
|
float128: 8
|
|
ldouble: 5
|
|
|
|
Function: "jn_upward":
|
|
double: 5
|
|
float: 5
|
|
float128: 7
|
|
ldouble: 5
|
|
|
|
Function: "lgamma":
|
|
double: 4
|
|
float: 5
|
|
float128: 5
|
|
ldouble: 4
|
|
|
|
Function: "lgamma_downward":
|
|
double: 5
|
|
float: 5
|
|
float128: 8
|
|
ldouble: 7
|
|
|
|
Function: "lgamma_towardzero":
|
|
double: 5
|
|
float: 6
|
|
float128: 5
|
|
ldouble: 7
|
|
|
|
Function: "lgamma_upward":
|
|
double: 5
|
|
float: 6
|
|
float128: 8
|
|
ldouble: 6
|
|
|
|
Function: "log":
|
|
double: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "log10":
|
|
double: 1
|
|
float128: 2
|
|
ldouble: 1
|
|
|
|
Function: "log10_downward":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 2
|
|
|
|
Function: "log10_towardzero":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 2
|
|
|
|
Function: "log10_upward":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "log10p1":
|
|
double: 1
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 4
|
|
|
|
Function: "log10p1_downward":
|
|
double: 2
|
|
float: 3
|
|
float128: 4
|
|
ldouble: 8
|
|
|
|
Function: "log10p1_towardzero":
|
|
double: 2
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 8
|
|
|
|
Function: "log10p1_upward":
|
|
double: 2
|
|
float: 3
|
|
float128: 4
|
|
ldouble: 6
|
|
|
|
Function: "log1p":
|
|
double: 1
|
|
float128: 3
|
|
ldouble: 2
|
|
|
|
Function: "log1p_downward":
|
|
double: 1
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 4
|
|
|
|
Function: "log1p_towardzero":
|
|
double: 1
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 4
|
|
|
|
Function: "log1p_upward":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: "log2":
|
|
double: 1
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 1
|
|
|
|
Function: "log2_downward":
|
|
double: 1
|
|
float128: 3
|
|
ldouble: 1
|
|
|
|
Function: "log2_towardzero":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "log2_upward":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "log2p1":
|
|
double: 1
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 4
|
|
|
|
Function: "log2p1_downward":
|
|
double: 2
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: "log2p1_towardzero":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: "log2p1_upward":
|
|
double: 2
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 5
|
|
|
|
Function: "log_downward":
|
|
double: 1
|
|
float128: 1
|
|
ldouble: 2
|
|
|
|
Function: "log_towardzero":
|
|
double: 1
|
|
float128: 2
|
|
ldouble: 2
|
|
|
|
Function: "log_upward":
|
|
double: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "logp1":
|
|
double: 1
|
|
float128: 3
|
|
ldouble: 2
|
|
|
|
Function: "logp1_downward":
|
|
double: 1
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 4
|
|
|
|
Function: "logp1_towardzero":
|
|
double: 1
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 4
|
|
|
|
Function: "logp1_upward":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: "pow":
|
|
double: 1
|
|
float128: 2
|
|
ldouble: 1
|
|
|
|
Function: "pow_downward":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 4
|
|
|
|
Function: "pow_towardzero":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 4
|
|
|
|
Function: "pow_upward":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 4
|
|
|
|
Function: "sin":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 2
|
|
|
|
Function: "sin_downward":
|
|
double: 1
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: "sin_towardzero":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 2
|
|
|
|
Function: "sin_upward":
|
|
double: 1
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: "sincos":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "sincos_downward":
|
|
double: 1
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: "sincos_towardzero":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 2
|
|
|
|
Function: "sincos_upward":
|
|
double: 1
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: "sinh":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: "sinh_downward":
|
|
double: 3
|
|
float: 3
|
|
float128: 3
|
|
ldouble: 5
|
|
|
|
Function: "sinh_towardzero":
|
|
double: 3
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 4
|
|
|
|
Function: "sinh_upward":
|
|
double: 4
|
|
float: 3
|
|
float128: 4
|
|
ldouble: 5
|
|
|
|
Function: "tan":
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 2
|
|
|
|
Function: "tan_downward":
|
|
double: 1
|
|
float: 2
|
|
float128: 1
|
|
ldouble: 3
|
|
|
|
Function: "tan_towardzero":
|
|
double: 1
|
|
float: 2
|
|
float128: 1
|
|
ldouble: 3
|
|
|
|
Function: "tan_upward":
|
|
double: 1
|
|
float: 2
|
|
float128: 1
|
|
ldouble: 2
|
|
|
|
Function: "tanh":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: "tanh_downward":
|
|
double: 3
|
|
float: 3
|
|
float128: 4
|
|
ldouble: 4
|
|
|
|
Function: "tanh_towardzero":
|
|
double: 2
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: "tanh_upward":
|
|
double: 3
|
|
float: 3
|
|
float128: 3
|
|
ldouble: 4
|
|
|
|
Function: "tgamma":
|
|
double: 9
|
|
float128: 4
|
|
ldouble: 5
|
|
|
|
Function: "tgamma_downward":
|
|
double: 9
|
|
float128: 5
|
|
ldouble: 6
|
|
|
|
Function: "tgamma_towardzero":
|
|
double: 9
|
|
float128: 5
|
|
ldouble: 6
|
|
|
|
Function: "tgamma_upward":
|
|
double: 9
|
|
float128: 4
|
|
ldouble: 5
|
|
|
|
Function: "y0":
|
|
double: 3
|
|
float: 9
|
|
float128: 3
|
|
ldouble: 2
|
|
|
|
Function: "y0_downward":
|
|
double: 3
|
|
float: 9
|
|
float128: 7
|
|
ldouble: 5
|
|
|
|
Function: "y0_towardzero":
|
|
double: 4
|
|
float: 9
|
|
float128: 3
|
|
ldouble: 8
|
|
|
|
Function: "y0_upward":
|
|
double: 3
|
|
float: 9
|
|
float128: 4
|
|
ldouble: 7
|
|
|
|
Function: "y1":
|
|
double: 3
|
|
float: 9
|
|
float128: 5
|
|
ldouble: 3
|
|
|
|
Function: "y1_downward":
|
|
double: 6
|
|
float: 9
|
|
float128: 5
|
|
ldouble: 7
|
|
|
|
Function: "y1_towardzero":
|
|
double: 3
|
|
float: 9
|
|
float128: 2
|
|
ldouble: 5
|
|
|
|
Function: "y1_upward":
|
|
double: 7
|
|
float: 9
|
|
float128: 5
|
|
ldouble: 7
|
|
|
|
Function: "yn":
|
|
double: 3
|
|
float: 3
|
|
float128: 5
|
|
ldouble: 4
|
|
|
|
Function: "yn_downward":
|
|
double: 3
|
|
float: 4
|
|
float128: 5
|
|
ldouble: 5
|
|
|
|
Function: "yn_towardzero":
|
|
double: 3
|
|
float: 3
|
|
float128: 5
|
|
ldouble: 5
|
|
|
|
Function: "yn_upward":
|
|
double: 4
|
|
float: 5
|
|
float128: 5
|
|
ldouble: 4
|
|
|
|
# end of automatic generation
|