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git://sourceware.org/git/glibc.git
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a357d6273f
The CORE-MATH implementation is correctly rounded (for any rounding mode) and shows slight better performance to the generic atanf. The code was adapted to glibc style and to use the definition of math_config.h (to handle errno, overflow, and underflow). Benchtest on x64_64 (Ryzen 9 5900X, gcc 14.2.1), aarch64 (Neoverse-N1, gcc 13.3.1), and powerpc (POWER10, gcc 13.2.1): Latency master patched improvement x86_64 56.8265 53.6842 5.53% x86_64v2 54.8177 53.6842 2.07% x86_64v3 46.2915 48.7034 -5.21% i686 158.3760 108.9560 31.20% aarch64 (Neoverse) 21.687 20.5893 5.06% power10 13.1903 13.5012 -2.36% reciprocal-throughput master patched improvement x86_64 16.6787 16.7601 -0.49% x86_64v2 16.6983 16.7601 -0.37% x86_64v3 16.2268 12.1391 25.19% i686 138.6840 36.0640 74.00% aarch64 (Neoverse) 11.8012 10.3565 12.24% power10 5.3212 4.2894 19.39% Signed-off-by: Alexei Sibidanov <sibid@uvic.ca> Signed-off-by: Paul Zimmermann <Paul.Zimmermann@inria.fr> Signed-off-by: Adhemerval Zanella <adhemerval.zanella@linaro.org> Reviewed-by: DJ Delorie <dj@redhat.com>
2022 lines
25 KiB
Text
2022 lines
25 KiB
Text
# 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: 1
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Function: "acos_downward":
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double: 1
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float128: 1
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ldouble: 3
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Function: "acos_towardzero":
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double: 1
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float128: 1
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ldouble: 3
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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: 2
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float128: 4
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ldouble: 2
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Function: "acosh_downward":
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double: 2
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float128: 3
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ldouble: 3
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Function: "acosh_towardzero":
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double: 2
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float128: 2
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ldouble: 5
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Function: "acosh_upward":
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double: 2
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float128: 3
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ldouble: 4
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Function: "acospi":
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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: "acospi_downward":
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double: 1
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float: 2
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float128: 1
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ldouble: 4
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Function: "acospi_towardzero":
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double: 1
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float: 2
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float128: 1
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ldouble: 4
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Function: "acospi_upward":
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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: "add_ldouble":
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double: 1
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float: 1
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Function: "asin":
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double: 1
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float128: 1
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ldouble: 2
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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: 2
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float128: 2
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ldouble: 2
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Function: "asinh":
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double: 2
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float128: 4
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ldouble: 2
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Function: "asinh_downward":
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double: 3
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float128: 4
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ldouble: 5
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Function: "asinh_towardzero":
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double: 2
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float128: 2
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ldouble: 5
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Function: "asinh_upward":
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double: 3
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float128: 4
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ldouble: 7
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Function: "asinpi":
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double: 1
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float: 1
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float128: 1
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ldouble: 2
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Function: "asinpi_downward":
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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: "asinpi_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: "asinpi_upward":
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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: "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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float: 1
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float128: 2
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ldouble: 2
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Function: "atan2_downward":
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double: 1
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float: 2
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float128: 2
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ldouble: 5
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Function: "atan2_towardzero":
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double: 1
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float: 2
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float128: 3
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ldouble: 6
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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: 3
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Function: "atan2pi":
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double: 1
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float: 1
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float128: 2
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ldouble: 2
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Function: "atan2pi_downward":
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double: 1
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float: 2
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float128: 2
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ldouble: 4
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Function: "atan2pi_towardzero":
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double: 1
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float: 2
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float128: 2
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ldouble: 5
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Function: "atan2pi_upward":
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double: 1
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float: 2
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float128: 2
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ldouble: 4
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Function: "atan_downward":
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double: 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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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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float128: 2
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ldouble: 2
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Function: "atanh":
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double: 2
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float: 2
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float128: 4
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ldouble: 2
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Function: "atanh_downward":
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double: 3
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float: 3
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float128: 4
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ldouble: 3
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Function: "atanh_towardzero":
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double: 2
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float: 2
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float128: 2
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ldouble: 4
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Function: "atanh_upward":
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double: 3
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float: 3
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float128: 4
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ldouble: 4
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Function: "atanpi":
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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: "atanpi_downward":
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double: 1
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float: 2
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float128: 1
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ldouble: 1
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Function: "atanpi_towardzero":
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double: 1
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float: 2
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float128: 1
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ldouble: 3
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Function: "atanpi_upward":
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double: 1
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float: 1
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float128: 2
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ldouble: 2
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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: 2
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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: 3
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float: 2
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float128: 3
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ldouble: 6
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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: 8
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Function: Real part of "cacos_towardzero":
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double: 3
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float: 3
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float128: 3
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ldouble: 7
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|
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Function: Imaginary part of "cacos_towardzero":
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double: 5
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float: 3
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float128: 5
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ldouble: 8
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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: 7
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Function: Imaginary part of "cacos_upward":
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double: 5
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float: 5
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float128: 7
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ldouble: 13
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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: 5
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float: 3
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float128: 5
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ldouble: 8
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Function: Imaginary part of "cacosh_downward":
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double: 3
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float: 3
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float128: 4
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ldouble: 6
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Function: Real part of "cacosh_towardzero":
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double: 5
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float: 3
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float128: 5
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ldouble: 8
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Function: Imaginary part of "cacosh_towardzero":
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double: 3
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float: 3
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float128: 3
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ldouble: 7
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Function: Real part of "cacosh_upward":
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double: 4
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float: 4
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float128: 6
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ldouble: 12
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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: 8
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Function: "carg":
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double: 1
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float: 1
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float128: 2
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ldouble: 2
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Function: "carg_downward":
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double: 1
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float: 2
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float128: 2
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ldouble: 5
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Function: "carg_towardzero":
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double: 1
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float: 2
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float128: 3
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ldouble: 6
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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: 3
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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: 4
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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: 8
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Function: Real part of "casin_towardzero":
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double: 3
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float: 1
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float128: 3
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ldouble: 5
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Function: Imaginary part of "casin_towardzero":
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double: 5
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float: 3
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float128: 5
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ldouble: 8
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Function: Real part of "casin_upward":
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double: 3
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float: 2
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float128: 3
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ldouble: 6
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|
|
Function: Imaginary part of "casin_upward":
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double: 5
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float: 5
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float128: 7
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ldouble: 13
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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: 8
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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: 4
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Function: Real part of "casinh_towardzero":
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double: 5
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float: 3
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float128: 5
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ldouble: 8
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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: 5
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Function: Real part of "casinh_upward":
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double: 5
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float: 5
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float128: 7
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ldouble: 13
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Function: Imaginary part of "casinh_upward":
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double: 3
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float: 2
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float128: 3
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ldouble: 6
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Function: Real part of "catan":
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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: Imaginary part of "catan":
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double: 1
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float: 1
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float128: 1
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ldouble: 2
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Function: Real part of "catan_downward":
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double: 1
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float: 2
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float128: 2
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ldouble: 6
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Function: Imaginary part of "catan_downward":
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double: 2
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float: 2
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float128: 2
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ldouble: 7
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Function: Real part of "catan_towardzero":
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double: 1
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float: 2
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float128: 2
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ldouble: 7
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|
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Function: Imaginary part of "catan_towardzero":
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double: 2
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float: 2
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float128: 2
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ldouble: 3
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|
|
|
Function: Real part of "catan_upward":
|
|
double: 1
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|
float: 1
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|
float128: 2
|
|
ldouble: 6
|
|
|
|
Function: Imaginary part of "catan_upward":
|
|
double: 3
|
|
float: 3
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|
float128: 3
|
|
ldouble: 8
|
|
|
|
Function: Real part of "catanh":
|
|
double: 1
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|
float: 1
|
|
float128: 1
|
|
ldouble: 2
|
|
|
|
Function: Imaginary part of "catanh":
|
|
double: 1
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|
float: 1
|
|
float128: 1
|
|
ldouble: 3
|
|
|
|
Function: Real part of "catanh_downward":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 5
|
|
|
|
Function: Imaginary part of "catanh_downward":
|
|
double: 1
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 6
|
|
|
|
Function: Real part of "catanh_towardzero":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: Imaginary part of "catanh_towardzero":
|
|
double: 1
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 7
|
|
|
|
Function: Real part of "catanh_upward":
|
|
double: 4
|
|
float: 4
|
|
float128: 4
|
|
ldouble: 8
|
|
|
|
Function: Imaginary part of "catanh_upward":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 6
|
|
|
|
Function: "cbrt":
|
|
double: 4
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "cbrt_downward":
|
|
double: 4
|
|
float128: 1
|
|
ldouble: 5
|
|
|
|
Function: "cbrt_towardzero":
|
|
double: 3
|
|
float128: 1
|
|
ldouble: 3
|
|
|
|
Function: "cbrt_upward":
|
|
double: 5
|
|
float128: 2
|
|
ldouble: 2
|
|
|
|
Function: Real part of "ccos":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: Imaginary part of "ccos":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 2
|
|
|
|
Function: Real part of "ccos_downward":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 6
|
|
|
|
Function: Imaginary part of "ccos_downward":
|
|
double: 3
|
|
float: 3
|
|
float128: 2
|
|
ldouble: 6
|
|
|
|
Function: Real part of "ccos_towardzero":
|
|
double: 1
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 6
|
|
|
|
Function: Imaginary part of "ccos_towardzero":
|
|
double: 3
|
|
float: 3
|
|
float128: 2
|
|
ldouble: 6
|
|
|
|
Function: Real part of "ccos_upward":
|
|
double: 1
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: Imaginary part of "ccos_upward":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 4
|
|
|
|
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: 2
|
|
|
|
Function: Real part of "ccosh_downward":
|
|
double: 2
|
|
float: 3
|
|
float128: 2
|
|
ldouble: 6
|
|
|
|
Function: Imaginary part of "ccosh_downward":
|
|
double: 3
|
|
float: 3
|
|
float128: 2
|
|
ldouble: 6
|
|
|
|
Function: Real part of "ccosh_towardzero":
|
|
double: 2
|
|
float: 3
|
|
float128: 2
|
|
ldouble: 6
|
|
|
|
Function: Imaginary part of "ccosh_towardzero":
|
|
double: 3
|
|
float: 3
|
|
float128: 2
|
|
ldouble: 6
|
|
|
|
Function: Real part of "ccosh_upward":
|
|
double: 1
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: Imaginary part of "ccosh_upward":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 4
|
|
|
|
Function: Real part of "cexp":
|
|
double: 2
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 2
|
|
|
|
Function: Imaginary part of "cexp":
|
|
double: 1
|
|
float: 2
|
|
float128: 1
|
|
ldouble: 2
|
|
|
|
Function: Real part of "cexp_downward":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 11
|
|
|
|
Function: Imaginary part of "cexp_downward":
|
|
double: 3
|
|
float: 3
|
|
float128: 2
|
|
ldouble: 11
|
|
|
|
Function: Real part of "cexp_towardzero":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 11
|
|
|
|
Function: Imaginary part of "cexp_towardzero":
|
|
double: 3
|
|
float: 3
|
|
float128: 2
|
|
ldouble: 11
|
|
|
|
Function: Real part of "cexp_upward":
|
|
double: 1
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: Imaginary part of "cexp_upward":
|
|
double: 3
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: Real part of "clog":
|
|
double: 3
|
|
float: 3
|
|
float128: 2
|
|
ldouble: 5
|
|
|
|
Function: Imaginary part of "clog":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 2
|
|
|
|
Function: Real part of "clog10":
|
|
double: 3
|
|
float: 4
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: Imaginary part of "clog10":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 2
|
|
|
|
Function: Real part of "clog10_downward":
|
|
double: 6
|
|
float: 6
|
|
float128: 3
|
|
ldouble: 10
|
|
|
|
Function: Imaginary part of "clog10_downward":
|
|
double: 2
|
|
float: 4
|
|
float128: 3
|
|
ldouble: 7
|
|
|
|
Function: Real part of "clog10_towardzero":
|
|
double: 5
|
|
float: 5
|
|
float128: 4
|
|
ldouble: 9
|
|
|
|
Function: Imaginary part of "clog10_towardzero":
|
|
double: 2
|
|
float: 4
|
|
float128: 3
|
|
ldouble: 8
|
|
|
|
Function: Real part of "clog10_upward":
|
|
double: 8
|
|
float: 5
|
|
float128: 4
|
|
ldouble: 10
|
|
|
|
Function: Imaginary part of "clog10_upward":
|
|
double: 2
|
|
float: 4
|
|
float128: 3
|
|
ldouble: 7
|
|
|
|
Function: Real part of "clog_downward":
|
|
double: 7
|
|
float: 5
|
|
float128: 3
|
|
ldouble: 11
|
|
|
|
Function: Imaginary part of "clog_downward":
|
|
double: 1
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 5
|
|
|
|
Function: Real part of "clog_towardzero":
|
|
double: 7
|
|
float: 5
|
|
float128: 3
|
|
ldouble: 10
|
|
|
|
Function: Imaginary part of "clog_towardzero":
|
|
double: 1
|
|
float: 3
|
|
float128: 2
|
|
ldouble: 7
|
|
|
|
Function: Real part of "clog_upward":
|
|
double: 8
|
|
float: 5
|
|
float128: 4
|
|
ldouble: 10
|
|
|
|
Function: Imaginary part of "clog_upward":
|
|
double: 1
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 4
|
|
|
|
Function: "cos":
|
|
double: 1
|
|
float: 3
|
|
float128: 2
|
|
ldouble: 4
|
|
|
|
Function: "cos_downward":
|
|
double: 1
|
|
float: 4
|
|
float128: 3
|
|
ldouble: 5
|
|
|
|
Function: "cos_towardzero":
|
|
double: 1
|
|
float: 3
|
|
float128: 1
|
|
ldouble: 4
|
|
|
|
Function: "cos_upward":
|
|
double: 1
|
|
float: 3
|
|
float128: 2
|
|
ldouble: 5
|
|
|
|
Function: "cosh":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: "cosh_downward":
|
|
double: 3
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 6
|
|
|
|
Function: "cosh_towardzero":
|
|
double: 3
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 6
|
|
|
|
Function: "cosh_upward":
|
|
double: 2
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 2
|
|
|
|
Function: "cospi":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "cospi_downward":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 4
|
|
|
|
Function: "cospi_towardzero":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 4
|
|
|
|
Function: "cospi_upward":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 4
|
|
|
|
Function: Real part of "cpow":
|
|
double: 2
|
|
float: 5
|
|
float128: 4
|
|
ldouble: 4
|
|
|
|
Function: Imaginary part of "cpow":
|
|
float: 2
|
|
float128: 1
|
|
ldouble: 2
|
|
|
|
Function: Real part of "cpow_downward":
|
|
double: 5
|
|
float: 8
|
|
float128: 6
|
|
ldouble: 7
|
|
|
|
Function: Imaginary part of "cpow_downward":
|
|
double: 1
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 4
|
|
|
|
Function: Real part of "cpow_towardzero":
|
|
double: 5
|
|
float: 8
|
|
float128: 6
|
|
ldouble: 8
|
|
|
|
Function: Imaginary part of "cpow_towardzero":
|
|
double: 1
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 4
|
|
|
|
Function: Real part of "cpow_upward":
|
|
double: 4
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: Imaginary part of "cpow_upward":
|
|
double: 1
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: Real part of "csin":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 2
|
|
|
|
Function: Imaginary part of "csin":
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: Real part of "csin_downward":
|
|
double: 3
|
|
float: 3
|
|
float128: 2
|
|
ldouble: 6
|
|
|
|
Function: Imaginary part of "csin_downward":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 6
|
|
|
|
Function: Real part of "csin_towardzero":
|
|
double: 3
|
|
float: 3
|
|
float128: 2
|
|
ldouble: 6
|
|
|
|
Function: Imaginary part of "csin_towardzero":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 6
|
|
|
|
Function: Real part of "csin_upward":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: Imaginary part of "csin_upward":
|
|
double: 1
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: Real part of "csinh":
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: Imaginary part of "csinh":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 2
|
|
|
|
Function: Real part of "csinh_downward":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 6
|
|
|
|
Function: Imaginary part of "csinh_downward":
|
|
double: 3
|
|
float: 3
|
|
float128: 2
|
|
ldouble: 6
|
|
|
|
Function: Real part of "csinh_towardzero":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 6
|
|
|
|
Function: Imaginary part of "csinh_towardzero":
|
|
double: 3
|
|
float: 3
|
|
float128: 2
|
|
ldouble: 6
|
|
|
|
Function: Real part of "csinh_upward":
|
|
double: 1
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: Imaginary part of "csinh_upward":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: Real part of "csqrt":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 1
|
|
|
|
Function: Imaginary part of "csqrt":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 1
|
|
|
|
Function: Real part of "csqrt_downward":
|
|
double: 5
|
|
float: 4
|
|
float128: 4
|
|
ldouble: 4
|
|
|
|
Function: Imaginary part of "csqrt_downward":
|
|
double: 4
|
|
float: 3
|
|
float128: 3
|
|
ldouble: 5
|
|
|
|
Function: Real part of "csqrt_towardzero":
|
|
double: 4
|
|
float: 3
|
|
float128: 3
|
|
ldouble: 5
|
|
|
|
Function: Imaginary part of "csqrt_towardzero":
|
|
double: 4
|
|
float: 3
|
|
float128: 3
|
|
ldouble: 5
|
|
|
|
Function: Real part of "csqrt_upward":
|
|
double: 5
|
|
float: 4
|
|
float128: 4
|
|
ldouble: 12
|
|
|
|
Function: Imaginary part of "csqrt_upward":
|
|
double: 3
|
|
float: 3
|
|
float128: 3
|
|
ldouble: 8
|
|
|
|
Function: Real part of "ctan":
|
|
double: 1
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: Imaginary part of "ctan":
|
|
double: 2
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 2
|
|
|
|
Function: Real part of "ctan_downward":
|
|
double: 6
|
|
float: 5
|
|
float128: 4
|
|
ldouble: 6
|
|
|
|
Function: Imaginary part of "ctan_downward":
|
|
double: 2
|
|
float: 2
|
|
float128: 5
|
|
ldouble: 9
|
|
|
|
Function: Real part of "ctan_towardzero":
|
|
double: 5
|
|
float: 3
|
|
float128: 4
|
|
ldouble: 6
|
|
|
|
Function: Imaginary part of "ctan_towardzero":
|
|
double: 2
|
|
float: 2
|
|
float128: 5
|
|
ldouble: 13
|
|
|
|
Function: Real part of "ctan_upward":
|
|
double: 2
|
|
float: 4
|
|
float128: 5
|
|
ldouble: 7
|
|
|
|
Function: Imaginary part of "ctan_upward":
|
|
double: 2
|
|
float: 3
|
|
float128: 5
|
|
ldouble: 10
|
|
|
|
Function: Real part of "ctanh":
|
|
double: 2
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: Imaginary part of "ctanh":
|
|
double: 2
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: Real part of "ctanh_downward":
|
|
double: 4
|
|
float: 2
|
|
float128: 5
|
|
ldouble: 9
|
|
|
|
Function: Imaginary part of "ctanh_downward":
|
|
double: 6
|
|
float: 5
|
|
float128: 4
|
|
ldouble: 6
|
|
|
|
Function: Real part of "ctanh_towardzero":
|
|
double: 2
|
|
float: 2
|
|
float128: 5
|
|
ldouble: 13
|
|
|
|
Function: Imaginary part of "ctanh_towardzero":
|
|
double: 5
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 10
|
|
|
|
Function: Real part of "ctanh_upward":
|
|
double: 2
|
|
float: 3
|
|
float128: 5
|
|
ldouble: 10
|
|
|
|
Function: Imaginary part of "ctanh_upward":
|
|
double: 2
|
|
float: 3
|
|
float128: 5
|
|
ldouble: 10
|
|
|
|
Function: "div_ldouble":
|
|
float: 1
|
|
|
|
Function: "div_towardzero_ldouble":
|
|
double: 1
|
|
|
|
Function: "erf":
|
|
double: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "erf_downward":
|
|
double: 1
|
|
float128: 2
|
|
ldouble: 2
|
|
|
|
Function: "erf_towardzero":
|
|
double: 1
|
|
float128: 1
|
|
ldouble: 2
|
|
|
|
Function: "erf_upward":
|
|
double: 1
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: "erfc":
|
|
double: 2
|
|
float128: 4
|
|
ldouble: 3
|
|
|
|
Function: "erfc_downward":
|
|
double: 4
|
|
float128: 5
|
|
ldouble: 10
|
|
|
|
Function: "erfc_towardzero":
|
|
double: 3
|
|
float128: 4
|
|
ldouble: 11
|
|
|
|
Function: "erfc_upward":
|
|
double: 4
|
|
float128: 5
|
|
ldouble: 7
|
|
|
|
Function: "exp":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "exp10":
|
|
double: 2
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 1
|
|
|
|
Function: "exp10_downward":
|
|
double: 3
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 9
|
|
|
|
Function: "exp10_towardzero":
|
|
double: 3
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 9
|
|
|
|
Function: "exp10_upward":
|
|
double: 2
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 4
|
|
|
|
Function: "exp10m1":
|
|
double: 4
|
|
float128: 3
|
|
ldouble: 4
|
|
|
|
Function: "exp10m1_downward":
|
|
double: 3
|
|
float128: 6
|
|
ldouble: 9
|
|
|
|
Function: "exp10m1_towardzero":
|
|
double: 2
|
|
float128: 6
|
|
ldouble: 9
|
|
|
|
Function: "exp10m1_upward":
|
|
double: 5
|
|
float128: 6
|
|
ldouble: 8
|
|
|
|
Function: "exp2":
|
|
double: 1
|
|
float128: 1
|
|
ldouble: 2
|
|
|
|
Function: "exp2_downward":
|
|
double: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "exp2_towardzero":
|
|
double: 1
|
|
float128: 1
|
|
ldouble: 2
|
|
|
|
Function: "exp2_upward":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 2
|
|
|
|
Function: "exp2m1":
|
|
double: 2
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: "exp2m1_downward":
|
|
double: 3
|
|
float128: 3
|
|
ldouble: 7
|
|
|
|
Function: "exp2m1_towardzero":
|
|
double: 3
|
|
float128: 4
|
|
ldouble: 8
|
|
|
|
Function: "exp2m1_upward":
|
|
double: 3
|
|
float128: 5
|
|
ldouble: 9
|
|
|
|
Function: "exp_downward":
|
|
double: 1
|
|
float: 1
|
|
ldouble: 2
|
|
|
|
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: 1
|
|
|
|
Function: "expm1_downward":
|
|
double: 1
|
|
float128: 2
|
|
ldouble: 7
|
|
|
|
Function: "expm1_towardzero":
|
|
double: 1
|
|
float128: 4
|
|
ldouble: 6
|
|
|
|
Function: "expm1_upward":
|
|
double: 1
|
|
float128: 3
|
|
ldouble: 6
|
|
|
|
Function: "fma":
|
|
ldouble: 1
|
|
|
|
Function: "fma_downward":
|
|
ldouble: 1
|
|
|
|
Function: "fma_downward_ldouble":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: "fma_ldouble":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: "fma_towardzero":
|
|
ldouble: 2
|
|
|
|
Function: "fma_towardzero_ldouble":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: "fma_upward":
|
|
ldouble: 3
|
|
|
|
Function: "fma_upward_ldouble":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: "fmod":
|
|
ldouble: 1
|
|
|
|
Function: "fmod_downward":
|
|
ldouble: 1
|
|
|
|
Function: "fmod_towardzero":
|
|
ldouble: 1
|
|
|
|
Function: "fmod_upward":
|
|
ldouble: 1
|
|
|
|
Function: "gamma":
|
|
double: 3
|
|
float: 4
|
|
float128: 5
|
|
ldouble: 3
|
|
|
|
Function: "gamma_downward":
|
|
double: 4
|
|
float: 4
|
|
float128: 8
|
|
ldouble: 15
|
|
|
|
Function: "gamma_towardzero":
|
|
double: 4
|
|
float: 3
|
|
float128: 5
|
|
ldouble: 16
|
|
|
|
Function: "gamma_upward":
|
|
double: 4
|
|
float: 5
|
|
float128: 8
|
|
ldouble: 11
|
|
|
|
Function: "hypot":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "hypot_downward":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 2
|
|
|
|
Function: "hypot_towardzero":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 2
|
|
|
|
Function: "hypot_upward":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 3
|
|
|
|
Function: "j0":
|
|
double: 3
|
|
float: 9
|
|
float128: 7
|
|
ldouble: 5
|
|
|
|
Function: "j0_downward":
|
|
double: 6
|
|
float: 9
|
|
float128: 9
|
|
ldouble: 12
|
|
|
|
Function: "j0_towardzero":
|
|
double: 7
|
|
float: 9
|
|
float128: 9
|
|
ldouble: 16
|
|
|
|
Function: "j0_upward":
|
|
double: 9
|
|
float: 9
|
|
float128: 7
|
|
ldouble: 14
|
|
|
|
Function: "j1":
|
|
double: 4
|
|
float: 9
|
|
float128: 4
|
|
ldouble: 6
|
|
|
|
Function: "j1_downward":
|
|
double: 3
|
|
float: 8
|
|
float128: 4
|
|
ldouble: 7
|
|
|
|
Function: "j1_towardzero":
|
|
double: 4
|
|
float: 8
|
|
float128: 4
|
|
ldouble: 7
|
|
|
|
Function: "j1_upward":
|
|
double: 9
|
|
float: 9
|
|
float128: 3
|
|
ldouble: 6
|
|
|
|
Function: "jn":
|
|
double: 4
|
|
float: 4
|
|
float128: 7
|
|
ldouble: 4
|
|
|
|
Function: "jn_downward":
|
|
double: 4
|
|
float: 5
|
|
float128: 8
|
|
ldouble: 7
|
|
|
|
Function: "jn_towardzero":
|
|
double: 4
|
|
float: 5
|
|
float128: 8
|
|
ldouble: 7
|
|
|
|
Function: "jn_upward":
|
|
double: 5
|
|
float: 4
|
|
float128: 7
|
|
ldouble: 5
|
|
|
|
Function: "lgamma":
|
|
double: 3
|
|
float128: 5
|
|
ldouble: 3
|
|
|
|
Function: "lgamma_downward":
|
|
double: 4
|
|
float128: 8
|
|
ldouble: 15
|
|
|
|
Function: "lgamma_towardzero":
|
|
double: 4
|
|
float128: 5
|
|
ldouble: 16
|
|
|
|
Function: "lgamma_upward":
|
|
double: 4
|
|
float128: 8
|
|
ldouble: 11
|
|
|
|
Function: "log":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "log10":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 1
|
|
|
|
Function: "log10_downward":
|
|
double: 2
|
|
float: 3
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "log10_towardzero":
|
|
double: 2
|
|
float: 2
|
|
float128: 1
|
|
ldouble: 2
|
|
|
|
Function: "log10_upward":
|
|
double: 2
|
|
float: 2
|
|
float128: 1
|
|
ldouble: 2
|
|
|
|
Function: "log10p1":
|
|
double: 2
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: "log10p1_downward":
|
|
double: 2
|
|
float128: 4
|
|
ldouble: 6
|
|
|
|
Function: "log10p1_towardzero":
|
|
double: 3
|
|
float128: 3
|
|
ldouble: 6
|
|
|
|
Function: "log10p1_upward":
|
|
double: 2
|
|
float128: 4
|
|
ldouble: 6
|
|
|
|
Function: "log1p":
|
|
double: 1
|
|
float128: 3
|
|
ldouble: 2
|
|
|
|
Function: "log1p_downward":
|
|
double: 1
|
|
float128: 3
|
|
ldouble: 2
|
|
|
|
Function: "log1p_towardzero":
|
|
double: 2
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: "log1p_upward":
|
|
double: 2
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: "log2":
|
|
double: 1
|
|
float: 1
|
|
float128: 3
|
|
ldouble: 1
|
|
|
|
Function: "log2_downward":
|
|
double: 3
|
|
float: 3
|
|
float128: 3
|
|
ldouble: 2
|
|
|
|
Function: "log2_towardzero":
|
|
double: 2
|
|
float: 2
|
|
float128: 1
|
|
ldouble: 5
|
|
|
|
Function: "log2_upward":
|
|
double: 3
|
|
float: 3
|
|
float128: 1
|
|
ldouble: 4
|
|
|
|
Function: "log2p1":
|
|
double: 2
|
|
float128: 3
|
|
ldouble: 2
|
|
|
|
Function: "log2p1_downward":
|
|
double: 2
|
|
float128: 3
|
|
ldouble: 4
|
|
|
|
Function: "log2p1_towardzero":
|
|
double: 2
|
|
float128: 2
|
|
ldouble: 5
|
|
|
|
Function: "log2p1_upward":
|
|
double: 2
|
|
float128: 3
|
|
ldouble: 6
|
|
|
|
Function: "log_downward":
|
|
float: 2
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "log_towardzero":
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 2
|
|
|
|
Function: "log_upward":
|
|
double: 1
|
|
float: 2
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "logp1":
|
|
double: 1
|
|
float128: 3
|
|
ldouble: 2
|
|
|
|
Function: "logp1_downward":
|
|
double: 1
|
|
float128: 3
|
|
ldouble: 2
|
|
|
|
Function: "logp1_towardzero":
|
|
double: 2
|
|
float128: 3
|
|
ldouble: 3
|
|
|
|
Function: "logp1_upward":
|
|
double: 2
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: "mul_downward_ldouble":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: "mul_ldouble":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: "mul_towardzero_ldouble":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: "mul_upward_ldouble":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: "nextafter_downward":
|
|
ldouble: 1
|
|
|
|
Function: "nextafter_upward":
|
|
ldouble: 1
|
|
|
|
Function: "pow":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 1
|
|
|
|
Function: "pow_downward":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 1
|
|
|
|
Function: "pow_towardzero":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 1
|
|
|
|
Function: "pow_upward":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 1
|
|
|
|
Function: "sin":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 1
|
|
|
|
Function: "sin_downward":
|
|
double: 1
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 4
|
|
|
|
Function: "sin_towardzero":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 5
|
|
|
|
Function: "sin_upward":
|
|
double: 1
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 5
|
|
|
|
Function: "sincos":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "sincos_downward":
|
|
double: 1
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 4
|
|
|
|
Function: "sincos_towardzero":
|
|
double: 1
|
|
float: 1
|
|
float128: 2
|
|
ldouble: 7
|
|
|
|
Function: "sincos_upward":
|
|
double: 1
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 7
|
|
|
|
Function: "sinh":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 3
|
|
|
|
Function: "sinh_downward":
|
|
double: 3
|
|
float: 3
|
|
float128: 3
|
|
ldouble: 6
|
|
|
|
Function: "sinh_towardzero":
|
|
double: 3
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 6
|
|
|
|
Function: "sinh_upward":
|
|
double: 3
|
|
float: 3
|
|
float128: 4
|
|
ldouble: 6
|
|
|
|
Function: "sinpi":
|
|
double: 1
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 1
|
|
|
|
Function: "sinpi_downward":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 4
|
|
|
|
Function: "sinpi_towardzero":
|
|
double: 2
|
|
float: 1
|
|
float128: 1
|
|
ldouble: 3
|
|
|
|
Function: "sinpi_upward":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 4
|
|
|
|
Function: "sqrt":
|
|
ldouble: 1
|
|
|
|
Function: "sqrt_downward":
|
|
ldouble: 1
|
|
|
|
Function: "sqrt_ldouble":
|
|
double: 1
|
|
|
|
Function: "sqrt_towardzero":
|
|
ldouble: 1
|
|
|
|
Function: "sqrt_upward":
|
|
ldouble: 1
|
|
|
|
Function: "sub_ldouble":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: "tan":
|
|
float128: 1
|
|
ldouble: 2
|
|
|
|
Function: "tan_downward":
|
|
double: 1
|
|
float128: 1
|
|
ldouble: 3
|
|
|
|
Function: "tan_towardzero":
|
|
double: 1
|
|
float128: 1
|
|
ldouble: 2
|
|
|
|
Function: "tan_upward":
|
|
double: 1
|
|
float128: 1
|
|
ldouble: 3
|
|
|
|
Function: "tanh":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 1
|
|
|
|
Function: "tanh_downward":
|
|
double: 3
|
|
float: 3
|
|
float128: 4
|
|
ldouble: 4
|
|
|
|
Function: "tanh_towardzero":
|
|
double: 2
|
|
float: 2
|
|
float128: 3
|
|
ldouble: 4
|
|
|
|
Function: "tanh_upward":
|
|
double: 3
|
|
float: 3
|
|
float128: 3
|
|
ldouble: 6
|
|
|
|
Function: "tanpi":
|
|
double: 2
|
|
float: 2
|
|
float128: 2
|
|
ldouble: 2
|
|
|
|
Function: "tanpi_downward":
|
|
double: 2
|
|
float: 3
|
|
float128: 4
|
|
ldouble: 8
|
|
|
|
Function: "tanpi_towardzero":
|
|
double: 2
|
|
float: 3
|
|
float128: 4
|
|
ldouble: 8
|
|
|
|
Function: "tanpi_upward":
|
|
double: 2
|
|
float: 4
|
|
float128: 3
|
|
ldouble: 8
|
|
|
|
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: 5
|
|
|
|
Function: "tgamma_upward":
|
|
double: 9
|
|
float128: 4
|
|
ldouble: 5
|
|
|
|
Function: "y0":
|
|
double: 2
|
|
float: 8
|
|
float128: 3
|
|
ldouble: 10
|
|
|
|
Function: "y0_downward":
|
|
double: 3
|
|
float: 8
|
|
float128: 7
|
|
ldouble: 10
|
|
|
|
Function: "y0_towardzero":
|
|
double: 3
|
|
float: 8
|
|
float128: 3
|
|
ldouble: 9
|
|
|
|
Function: "y0_upward":
|
|
double: 2
|
|
float: 8
|
|
float128: 4
|
|
ldouble: 9
|
|
|
|
Function: "y1":
|
|
double: 3
|
|
float: 9
|
|
float128: 5
|
|
ldouble: 2
|
|
|
|
Function: "y1_downward":
|
|
double: 6
|
|
float: 8
|
|
float128: 5
|
|
ldouble: 11
|
|
|
|
Function: "y1_towardzero":
|
|
double: 3
|
|
float: 9
|
|
float128: 3
|
|
ldouble: 9
|
|
|
|
Function: "y1_upward":
|
|
double: 6
|
|
float: 9
|
|
float128: 5
|
|
ldouble: 9
|
|
|
|
Function: "yn":
|
|
double: 3
|
|
float: 3
|
|
float128: 5
|
|
ldouble: 2
|
|
|
|
Function: "yn_downward":
|
|
double: 3
|
|
float: 4
|
|
float128: 5
|
|
ldouble: 10
|
|
|
|
Function: "yn_towardzero":
|
|
double: 3
|
|
float: 3
|
|
float128: 5
|
|
ldouble: 8
|
|
|
|
Function: "yn_upward":
|
|
double: 4
|
|
float: 5
|
|
float128: 5
|
|
ldouble: 9
|
|
|
|
# end of automatic generation
|