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bccb0648ea
The CORE-MATH implementation is correctly rounded (for any rounding mode) and shows better performance to the generic tanf. The code was adapted to glibc style, to use the definition of math_config.h, to remove errno handling, and to use a generic 128 bit routine for ABIs that do not support it natively. Benchtest on x64_64 (Ryzen 9 5900X, gcc 14.2.1), aarch64 (neoverse1, gcc 13.2.1), and powerpc (POWER10, gcc 13.2.1): latency master patched improvement x86_64 82.3961 54.8052 33.49% x86_64v2 82.3415 54.8052 33.44% x86_64v3 69.3661 50.4864 27.22% i686 219.271 45.5396 79.23% aarch64 29.2127 19.1951 34.29% power10 19.5060 16.2760 16.56% reciprocal-throughput master patched improvement x86_64 28.3976 19.7334 30.51% x86_64v2 28.4568 19.7334 30.65% x86_64v3 21.1815 16.1811 23.61% i686 105.016 15.1426 85.58% aarch64 18.1573 10.7681 40.70% power10 8.7207 8.7097 0.13% 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>
1167 lines
15 KiB
Plaintext
1167 lines
15 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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float: 1
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Function: "acos_downward":
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double: 1
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float: 1
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Function: "acos_towardzero":
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double: 1
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float: 1
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Function: "acos_upward":
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double: 1
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float: 1
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Function: "acosh":
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double: 2
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float: 2
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Function: "acosh_downward":
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double: 2
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float: 2
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Function: "acosh_towardzero":
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double: 2
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float: 2
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Function: "acosh_upward":
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double: 2
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float: 2
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Function: "asin":
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double: 1
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float: 1
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Function: "asin_downward":
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double: 1
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float: 1
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Function: "asin_towardzero":
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double: 1
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float: 1
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Function: "asin_upward":
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double: 2
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float: 1
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Function: "asinh":
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double: 2
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float: 2
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Function: "asinh_downward":
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double: 3
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float: 3
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Function: "asinh_towardzero":
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double: 2
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float: 2
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Function: "asinh_upward":
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double: 3
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float: 3
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Function: "atan":
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double: 1
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float: 1
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Function: "atan2":
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float: 2
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Function: "atan2_downward":
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double: 1
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float: 2
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Function: "atan2_towardzero":
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double: 1
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float: 2
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Function: "atan2_upward":
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double: 1
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float: 2
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Function: "atan_downward":
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double: 1
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float: 2
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Function: "atan_towardzero":
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double: 1
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float: 1
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Function: "atan_upward":
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double: 1
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float: 2
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Function: "atanh":
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double: 2
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float: 2
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Function: "atanh_downward":
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double: 3
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float: 3
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Function: "atanh_towardzero":
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double: 2
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float: 2
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Function: "atanh_upward":
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double: 3
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float: 3
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Function: "cabs":
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double: 1
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Function: "cabs_downward":
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double: 1
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Function: "cabs_towardzero":
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double: 1
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Function: "cabs_upward":
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double: 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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Function: Imaginary part of "cacos":
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double: 2
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float: 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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Function: Imaginary part of "cacos_downward":
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double: 5
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float: 3
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Function: Real part of "cacos_towardzero":
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double: 3
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float: 2
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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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Function: Real part of "cacos_upward":
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double: 2
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float: 2
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Function: Imaginary part of "cacos_upward":
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double: 5
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float: 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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Function: Imaginary part of "cacosh":
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double: 1
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float: 2
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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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Function: Imaginary part of "cacosh_downward":
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double: 3
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float: 3
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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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Function: Imaginary part of "cacosh_towardzero":
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double: 3
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float: 2
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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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Function: Imaginary part of "cacosh_upward":
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double: 3
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float: 2
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Function: "carg":
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float: 1
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Function: "carg_downward":
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double: 1
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float: 2
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Function: "carg_towardzero":
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double: 1
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float: 2
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Function: "carg_upward":
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double: 1
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float: 2
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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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Function: Imaginary part of "casin":
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double: 2
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float: 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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Function: Imaginary part of "casin_downward":
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double: 5
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float: 3
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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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Function: Imaginary part of "casin_towardzero":
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double: 5
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float: 3
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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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Function: Imaginary part of "casin_upward":
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double: 5
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float: 7
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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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Function: Imaginary part of "casinh":
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double: 1
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float: 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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Function: Imaginary part of "casinh_downward":
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double: 3
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float: 2
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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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Function: Imaginary part of "casinh_towardzero":
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double: 3
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float: 1
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Function: Real part of "casinh_upward":
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double: 5
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float: 7
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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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Function: Real part of "catan":
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double: 1
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float: 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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Function: Real part of "catan_downward":
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double: 1
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float: 2
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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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Function: Real part of "catan_towardzero":
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double: 1
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float: 2
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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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Function: Real part of "catan_upward":
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double: 1
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float: 1
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Function: Imaginary part of "catan_upward":
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double: 3
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float: 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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Function: Imaginary part of "catanh":
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double: 1
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float: 1
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Function: Real part of "catanh_downward":
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double: 2
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float: 2
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Function: Imaginary part of "catanh_downward":
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double: 1
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float: 2
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Function: Real part of "catanh_towardzero":
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double: 2
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float: 2
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Function: Imaginary part of "catanh_towardzero":
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double: 1
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float: 2
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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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Function: Imaginary part of "catanh_upward":
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double: 1
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float: 1
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Function: "cbrt":
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double: 4
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Function: "cbrt_downward":
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double: 4
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Function: "cbrt_towardzero":
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double: 3
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Function: "cbrt_upward":
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double: 5
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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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Function: Imaginary part of "ccos":
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double: 1
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float: 1
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Function: Real part of "ccos_downward":
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double: 1
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float: 1
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Function: Imaginary part of "ccos_downward":
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double: 3
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float: 3
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Function: Real part of "ccos_towardzero":
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double: 1
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float: 2
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Function: Imaginary part of "ccos_towardzero":
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double: 3
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float: 3
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Function: Real part of "ccos_upward":
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double: 1
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float: 2
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Function: Imaginary part of "ccos_upward":
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double: 2
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float: 2
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Function: Real part of "ccosh":
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double: 1
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float: 1
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Function: Imaginary part of "ccosh":
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double: 1
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float: 1
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Function: Real part of "ccosh_downward":
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double: 2
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float: 3
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Function: Imaginary part of "ccosh_downward":
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double: 3
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float: 3
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Function: Real part of "ccosh_towardzero":
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double: 2
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float: 3
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Function: Imaginary part of "ccosh_towardzero":
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double: 3
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float: 3
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Function: Real part of "ccosh_upward":
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double: 1
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float: 2
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Function: Imaginary part of "ccosh_upward":
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double: 2
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float: 2
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Function: Real part of "cexp":
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double: 2
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float: 1
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Function: Imaginary part of "cexp":
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double: 1
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float: 2
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Function: Real part of "cexp_downward":
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double: 2
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float: 2
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Function: Imaginary part of "cexp_downward":
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double: 3
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float: 3
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Function: Real part of "cexp_towardzero":
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double: 2
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float: 2
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Function: Imaginary part of "cexp_towardzero":
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double: 3
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float: 3
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Function: Real part of "cexp_upward":
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double: 1
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float: 2
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Function: Imaginary part of "cexp_upward":
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double: 3
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float: 2
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Function: Real part of "clog":
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double: 3
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float: 3
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Function: Imaginary part of "clog":
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double: 1
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float: 1
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Function: Real part of "clog10":
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double: 3
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float: 4
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Function: Imaginary part of "clog10":
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double: 2
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float: 2
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Function: Real part of "clog10_downward":
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double: 5
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float: 5
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Function: Imaginary part of "clog10_downward":
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double: 2
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float: 4
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Function: Real part of "clog10_towardzero":
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double: 5
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float: 5
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Function: Imaginary part of "clog10_towardzero":
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double: 2
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float: 4
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Function: Real part of "clog10_upward":
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double: 6
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float: 5
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Function: Imaginary part of "clog10_upward":
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double: 2
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float: 4
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Function: Real part of "clog_downward":
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double: 4
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float: 3
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Function: Imaginary part of "clog_downward":
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double: 1
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float: 2
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Function: Real part of "clog_towardzero":
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double: 4
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float: 4
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Function: Imaginary part of "clog_towardzero":
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double: 1
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float: 3
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Function: Real part of "clog_upward":
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double: 4
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float: 3
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Function: Imaginary part of "clog_upward":
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double: 1
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float: 2
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Function: "cos":
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double: 1
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float: 1
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Function: "cos_downward":
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double: 1
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float: 2
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Function: "cos_towardzero":
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double: 1
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float: 1
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Function: "cos_upward":
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double: 1
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float: 2
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Function: "cosh":
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double: 2
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float: 2
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Function: "cosh_downward":
|
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double: 3
|
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float: 1
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Function: "cosh_towardzero":
|
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double: 3
|
|
float: 1
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|
|
Function: "cosh_upward":
|
|
double: 2
|
|
float: 2
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Function: Real part of "cpow":
|
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double: 2
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float: 5
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Function: Imaginary part of "cpow":
|
|
float: 2
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|
|
|
Function: Real part of "cpow_downward":
|
|
double: 5
|
|
float: 8
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|
|
Function: Imaginary part of "cpow_downward":
|
|
double: 1
|
|
float: 2
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|
|
|
Function: Real part of "cpow_towardzero":
|
|
double: 5
|
|
float: 8
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|
|
|
Function: Imaginary part of "cpow_towardzero":
|
|
double: 1
|
|
float: 2
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|
|
|
Function: Real part of "cpow_upward":
|
|
double: 4
|
|
float: 1
|
|
|
|
Function: Imaginary part of "cpow_upward":
|
|
double: 1
|
|
float: 2
|
|
|
|
Function: Real part of "csin":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: Imaginary part of "csin":
|
|
float: 1
|
|
|
|
Function: Real part of "csin_downward":
|
|
double: 3
|
|
float: 3
|
|
|
|
Function: Imaginary part of "csin_downward":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: Real part of "csin_towardzero":
|
|
double: 3
|
|
float: 3
|
|
|
|
Function: Imaginary part of "csin_towardzero":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: Real part of "csin_upward":
|
|
double: 2
|
|
float: 2
|
|
|
|
Function: Imaginary part of "csin_upward":
|
|
double: 1
|
|
float: 2
|
|
|
|
Function: Real part of "csinh":
|
|
float: 1
|
|
|
|
Function: Imaginary part of "csinh":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: Real part of "csinh_downward":
|
|
double: 2
|
|
float: 2
|
|
|
|
Function: Imaginary part of "csinh_downward":
|
|
double: 3
|
|
float: 3
|
|
|
|
Function: Real part of "csinh_towardzero":
|
|
double: 2
|
|
float: 2
|
|
|
|
Function: Imaginary part of "csinh_towardzero":
|
|
double: 3
|
|
float: 3
|
|
|
|
Function: Real part of "csinh_upward":
|
|
double: 1
|
|
float: 2
|
|
|
|
Function: Imaginary part of "csinh_upward":
|
|
double: 2
|
|
float: 2
|
|
|
|
Function: Real part of "csqrt":
|
|
double: 2
|
|
float: 2
|
|
|
|
Function: Imaginary part of "csqrt":
|
|
double: 2
|
|
float: 2
|
|
|
|
Function: Real part of "csqrt_downward":
|
|
double: 5
|
|
float: 4
|
|
|
|
Function: Imaginary part of "csqrt_downward":
|
|
double: 4
|
|
float: 3
|
|
|
|
Function: Real part of "csqrt_towardzero":
|
|
double: 4
|
|
float: 3
|
|
|
|
Function: Imaginary part of "csqrt_towardzero":
|
|
double: 4
|
|
float: 3
|
|
|
|
Function: Real part of "csqrt_upward":
|
|
double: 5
|
|
float: 4
|
|
|
|
Function: Imaginary part of "csqrt_upward":
|
|
double: 3
|
|
float: 3
|
|
|
|
Function: Real part of "ctan":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: Imaginary part of "ctan":
|
|
double: 2
|
|
float: 2
|
|
|
|
Function: Real part of "ctan_downward":
|
|
double: 6
|
|
float: 5
|
|
|
|
Function: Imaginary part of "ctan_downward":
|
|
double: 2
|
|
float: 2
|
|
|
|
Function: Real part of "ctan_towardzero":
|
|
double: 5
|
|
float: 3
|
|
|
|
Function: Imaginary part of "ctan_towardzero":
|
|
double: 2
|
|
float: 2
|
|
|
|
Function: Real part of "ctan_upward":
|
|
double: 2
|
|
float: 4
|
|
|
|
Function: Imaginary part of "ctan_upward":
|
|
double: 2
|
|
float: 3
|
|
|
|
Function: Real part of "ctanh":
|
|
double: 2
|
|
float: 2
|
|
|
|
Function: Imaginary part of "ctanh":
|
|
double: 2
|
|
float: 2
|
|
|
|
Function: Real part of "ctanh_downward":
|
|
double: 4
|
|
float: 2
|
|
|
|
Function: Imaginary part of "ctanh_downward":
|
|
double: 6
|
|
float: 5
|
|
|
|
Function: Real part of "ctanh_towardzero":
|
|
double: 2
|
|
float: 2
|
|
|
|
Function: Imaginary part of "ctanh_towardzero":
|
|
double: 5
|
|
float: 3
|
|
|
|
Function: Real part of "ctanh_upward":
|
|
double: 2
|
|
float: 3
|
|
|
|
Function: Imaginary part of "ctanh_upward":
|
|
double: 2
|
|
float: 3
|
|
|
|
Function: "erf":
|
|
double: 1
|
|
|
|
Function: "erf_downward":
|
|
double: 1
|
|
|
|
Function: "erf_towardzero":
|
|
double: 1
|
|
|
|
Function: "erf_upward":
|
|
double: 1
|
|
|
|
Function: "erfc":
|
|
double: 5
|
|
|
|
Function: "erfc_downward":
|
|
double: 5
|
|
|
|
Function: "erfc_towardzero":
|
|
double: 3
|
|
|
|
Function: "erfc_upward":
|
|
double: 5
|
|
|
|
Function: "exp":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: "exp10":
|
|
double: 2
|
|
float: 1
|
|
|
|
Function: "exp10_downward":
|
|
double: 3
|
|
float: 1
|
|
|
|
Function: "exp10_towardzero":
|
|
double: 3
|
|
float: 1
|
|
|
|
Function: "exp10_upward":
|
|
double: 2
|
|
float: 1
|
|
|
|
Function: "exp10m1":
|
|
double: 3
|
|
|
|
Function: "exp10m1_downward":
|
|
double: 3
|
|
|
|
Function: "exp10m1_towardzero":
|
|
double: 2
|
|
|
|
Function: "exp10m1_upward":
|
|
double: 4
|
|
|
|
Function: "exp2":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: "exp2_downward":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: "exp2_towardzero":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: "exp2_upward":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: "exp2m1":
|
|
double: 2
|
|
|
|
Function: "exp2m1_downward":
|
|
double: 3
|
|
|
|
Function: "exp2m1_towardzero":
|
|
double: 3
|
|
|
|
Function: "exp2m1_upward":
|
|
double: 3
|
|
|
|
Function: "exp_downward":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: "exp_towardzero":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: "exp_upward":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: "expm1":
|
|
double: 1
|
|
|
|
Function: "expm1_downward":
|
|
double: 1
|
|
|
|
Function: "expm1_towardzero":
|
|
double: 1
|
|
|
|
Function: "expm1_upward":
|
|
double: 1
|
|
|
|
Function: "gamma":
|
|
double: 4
|
|
float: 7
|
|
|
|
Function: "gamma_downward":
|
|
double: 5
|
|
float: 7
|
|
|
|
Function: "gamma_towardzero":
|
|
double: 5
|
|
float: 6
|
|
|
|
Function: "gamma_upward":
|
|
double: 5
|
|
float: 6
|
|
|
|
Function: "hypot":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: "hypot_downward":
|
|
double: 1
|
|
|
|
Function: "hypot_towardzero":
|
|
double: 1
|
|
|
|
Function: "hypot_upward":
|
|
double: 1
|
|
|
|
Function: "j0":
|
|
double: 2
|
|
float: 9
|
|
|
|
Function: "j0_downward":
|
|
double: 5
|
|
float: 9
|
|
|
|
Function: "j0_towardzero":
|
|
double: 6
|
|
float: 9
|
|
|
|
Function: "j0_upward":
|
|
double: 9
|
|
float: 9
|
|
|
|
Function: "j1":
|
|
double: 4
|
|
float: 9
|
|
|
|
Function: "j1_downward":
|
|
double: 5
|
|
float: 8
|
|
|
|
Function: "j1_towardzero":
|
|
double: 4
|
|
float: 8
|
|
|
|
Function: "j1_upward":
|
|
double: 9
|
|
float: 9
|
|
|
|
Function: "jn":
|
|
double: 4
|
|
float: 4
|
|
|
|
Function: "jn_downward":
|
|
double: 5
|
|
float: 5
|
|
|
|
Function: "jn_towardzero":
|
|
double: 5
|
|
float: 5
|
|
|
|
Function: "jn_upward":
|
|
double: 5
|
|
float: 5
|
|
|
|
Function: "lgamma":
|
|
double: 4
|
|
|
|
Function: "lgamma_downward":
|
|
double: 5
|
|
|
|
Function: "lgamma_towardzero":
|
|
double: 5
|
|
|
|
Function: "lgamma_upward":
|
|
double: 5
|
|
|
|
Function: "log":
|
|
float: 1
|
|
|
|
Function: "log10":
|
|
double: 2
|
|
float: 2
|
|
|
|
Function: "log10_downward":
|
|
double: 2
|
|
float: 3
|
|
|
|
Function: "log10_towardzero":
|
|
double: 2
|
|
float: 2
|
|
|
|
Function: "log10_upward":
|
|
double: 2
|
|
float: 2
|
|
|
|
Function: "log10p1":
|
|
double: 1
|
|
|
|
Function: "log10p1_downward":
|
|
double: 2
|
|
|
|
Function: "log10p1_towardzero":
|
|
double: 3
|
|
|
|
Function: "log10p1_upward":
|
|
double: 2
|
|
|
|
Function: "log1p":
|
|
double: 1
|
|
|
|
Function: "log1p_downward":
|
|
double: 2
|
|
|
|
Function: "log1p_towardzero":
|
|
double: 2
|
|
|
|
Function: "log1p_upward":
|
|
double: 2
|
|
|
|
Function: "log2":
|
|
double: 2
|
|
float: 1
|
|
|
|
Function: "log2_downward":
|
|
double: 3
|
|
float: 3
|
|
|
|
Function: "log2_towardzero":
|
|
double: 2
|
|
float: 2
|
|
|
|
Function: "log2_upward":
|
|
double: 3
|
|
float: 3
|
|
|
|
Function: "log2p1":
|
|
double: 1
|
|
|
|
Function: "log2p1_downward":
|
|
double: 2
|
|
|
|
Function: "log2p1_towardzero":
|
|
double: 2
|
|
|
|
Function: "log2p1_upward":
|
|
double: 2
|
|
|
|
Function: "log_downward":
|
|
float: 2
|
|
|
|
Function: "log_towardzero":
|
|
float: 2
|
|
|
|
Function: "log_upward":
|
|
double: 1
|
|
float: 2
|
|
|
|
Function: "logp1":
|
|
double: 1
|
|
|
|
Function: "logp1_downward":
|
|
double: 2
|
|
|
|
Function: "logp1_towardzero":
|
|
double: 2
|
|
|
|
Function: "logp1_upward":
|
|
double: 2
|
|
|
|
Function: "pow":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: "pow_downward":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: "pow_towardzero":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: "pow_upward":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: "sin":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: "sin_downward":
|
|
double: 1
|
|
float: 2
|
|
|
|
Function: "sin_towardzero":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: "sin_upward":
|
|
double: 1
|
|
float: 2
|
|
|
|
Function: "sincos":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: "sincos_downward":
|
|
double: 1
|
|
float: 2
|
|
|
|
Function: "sincos_towardzero":
|
|
double: 1
|
|
float: 1
|
|
|
|
Function: "sincos_upward":
|
|
double: 1
|
|
float: 2
|
|
|
|
Function: "sinh":
|
|
double: 2
|
|
float: 2
|
|
|
|
Function: "sinh_downward":
|
|
double: 3
|
|
float: 3
|
|
|
|
Function: "sinh_towardzero":
|
|
double: 3
|
|
float: 2
|
|
|
|
Function: "sinh_upward":
|
|
double: 3
|
|
float: 3
|
|
|
|
Function: "tan_downward":
|
|
double: 1
|
|
|
|
Function: "tan_towardzero":
|
|
double: 1
|
|
|
|
Function: "tan_upward":
|
|
double: 1
|
|
|
|
Function: "tanh":
|
|
double: 2
|
|
float: 2
|
|
|
|
Function: "tanh_downward":
|
|
double: 3
|
|
float: 3
|
|
|
|
Function: "tanh_towardzero":
|
|
double: 2
|
|
float: 2
|
|
|
|
Function: "tanh_upward":
|
|
double: 3
|
|
float: 3
|
|
|
|
Function: "tgamma":
|
|
double: 9
|
|
|
|
Function: "tgamma_downward":
|
|
double: 9
|
|
|
|
Function: "tgamma_towardzero":
|
|
double: 9
|
|
|
|
Function: "tgamma_upward":
|
|
double: 9
|
|
|
|
Function: "y0":
|
|
double: 3
|
|
float: 9
|
|
|
|
Function: "y0_downward":
|
|
double: 3
|
|
float: 9
|
|
|
|
Function: "y0_towardzero":
|
|
double: 4
|
|
float: 9
|
|
|
|
Function: "y0_upward":
|
|
double: 3
|
|
float: 9
|
|
|
|
Function: "y1":
|
|
double: 3
|
|
float: 9
|
|
|
|
Function: "y1_downward":
|
|
double: 6
|
|
float: 9
|
|
|
|
Function: "y1_towardzero":
|
|
double: 3
|
|
float: 9
|
|
|
|
Function: "y1_upward":
|
|
double: 7
|
|
float: 9
|
|
|
|
Function: "yn":
|
|
double: 3
|
|
float: 3
|
|
|
|
Function: "yn_downward":
|
|
double: 3
|
|
float: 4
|
|
|
|
Function: "yn_towardzero":
|
|
double: 3
|
|
float: 3
|
|
|
|
Function: "yn_upward":
|
|
double: 4
|
|
float: 5
|
|
|
|
# end of automatic generation
|