glibc/sysdeps/aarch64/libm-test-ulps
Wilco Dijkstra db3f7bb558 math: Remove slow paths from asin and acos [BZ #15267]
This patch series removes all remaining slow paths and related code.
First asin/acos, tan, atan, atan2 implementations are updated, and the final
patch removes the unused mpa files, headers and probes. Passes buildmanyglibc.

Remove slow paths from asin/acos. Add ULP annotations based on previous slow
path checks (which are approximate). Update AArch64 and x86_64 libm-test-ulps.

Reviewed-By: Paul Zimmermann <Paul.Zimmermann@inria.fr>
2021-03-11 14:26:36 +00:00

1426 lines
18 KiB
Plaintext

# Begin of automatic generation
# Maximal error of functions:
Function: "acos":
double: 1
float: 1
ldouble: 1
Function: "acos_downward":
double: 1
float: 1
ldouble: 1
Function: "acos_towardzero":
double: 1
float: 1
ldouble: 1
Function: "acos_upward":
double: 1
float: 1
ldouble: 1
Function: "acosh":
double: 2
float: 2
ldouble: 4
Function: "acosh_downward":
double: 2
float: 2
ldouble: 3
Function: "acosh_towardzero":
double: 2
float: 2
ldouble: 2
Function: "acosh_upward":
double: 2
float: 2
ldouble: 3
Function: "asin":
double: 1
float: 1
ldouble: 1
Function: "asin_downward":
double: 1
float: 1
ldouble: 2
Function: "asin_towardzero":
double: 1
float: 1
ldouble: 1
Function: "asin_upward":
double: 2
float: 1
ldouble: 2
Function: "asinh":
double: 2
float: 2
ldouble: 4
Function: "asinh_downward":
double: 3
float: 3
ldouble: 4
Function: "asinh_towardzero":
double: 2
float: 2
ldouble: 2
Function: "asinh_upward":
double: 3
float: 3
ldouble: 4
Function: "atan":
double: 1
float: 1
ldouble: 1
Function: "atan2":
float: 1
ldouble: 2
Function: "atan2_downward":
double: 1
float: 2
ldouble: 2
Function: "atan2_towardzero":
double: 1
float: 2
ldouble: 3
Function: "atan2_upward":
double: 1
float: 1
ldouble: 2
Function: "atan_downward":
double: 1
float: 2
ldouble: 2
Function: "atan_towardzero":
double: 1
float: 1
ldouble: 1
Function: "atan_upward":
double: 1
float: 2
ldouble: 2
Function: "atanh":
double: 2
float: 2
ldouble: 4
Function: "atanh_downward":
double: 3
float: 3
ldouble: 4
Function: "atanh_towardzero":
double: 2
float: 2
ldouble: 2
Function: "atanh_upward":
double: 3
float: 3
ldouble: 4
Function: "cabs":
double: 1
ldouble: 1
Function: "cabs_downward":
double: 1
ldouble: 1
Function: "cabs_towardzero":
double: 1
ldouble: 1
Function: "cabs_upward":
double: 1
ldouble: 1
Function: Real part of "cacos":
double: 1
float: 2
ldouble: 2
Function: Imaginary part of "cacos":
double: 2
float: 2
ldouble: 2
Function: Real part of "cacos_downward":
double: 3
float: 2
ldouble: 3
Function: Imaginary part of "cacos_downward":
double: 5
float: 3
ldouble: 6
Function: Real part of "cacos_towardzero":
double: 3
float: 2
ldouble: 3
Function: Imaginary part of "cacos_towardzero":
double: 5
float: 3
ldouble: 5
Function: Real part of "cacos_upward":
double: 2
float: 2
ldouble: 3
Function: Imaginary part of "cacos_upward":
double: 5
float: 5
ldouble: 7
Function: Real part of "cacosh":
double: 2
float: 2
ldouble: 2
Function: Imaginary part of "cacosh":
double: 1
float: 2
ldouble: 2
Function: Real part of "cacosh_downward":
double: 5
float: 3
ldouble: 5
Function: Imaginary part of "cacosh_downward":
double: 3
float: 3
ldouble: 4
Function: Real part of "cacosh_towardzero":
double: 5
float: 3
ldouble: 5
Function: Imaginary part of "cacosh_towardzero":
double: 3
float: 2
ldouble: 3
Function: Real part of "cacosh_upward":
double: 4
float: 4
ldouble: 6
Function: Imaginary part of "cacosh_upward":
double: 3
float: 2
ldouble: 4
Function: "carg":
double: 1
float: 1
ldouble: 2
Function: "carg_downward":
double: 1
float: 2
ldouble: 2
Function: "carg_towardzero":
double: 1
float: 2
ldouble: 3
Function: "carg_upward":
double: 1
float: 1
ldouble: 2
Function: Real part of "casin":
double: 1
float: 1
ldouble: 2
Function: Imaginary part of "casin":
double: 2
float: 2
ldouble: 2
Function: Real part of "casin_downward":
double: 3
float: 2
ldouble: 3
Function: Imaginary part of "casin_downward":
double: 5
float: 3
ldouble: 6
Function: Real part of "casin_towardzero":
double: 3
float: 1
ldouble: 3
Function: Imaginary part of "casin_towardzero":
double: 5
float: 3
ldouble: 5
Function: Real part of "casin_upward":
double: 3
float: 2
ldouble: 3
Function: Imaginary part of "casin_upward":
double: 5
float: 5
ldouble: 7
Function: Real part of "casinh":
double: 2
float: 2
ldouble: 2
Function: Imaginary part of "casinh":
double: 1
float: 1
ldouble: 2
Function: Real part of "casinh_downward":
double: 5
float: 3
ldouble: 6
Function: Imaginary part of "casinh_downward":
double: 3
float: 2
ldouble: 3
Function: Real part of "casinh_towardzero":
double: 5
float: 3
ldouble: 5
Function: Imaginary part of "casinh_towardzero":
double: 3
float: 1
ldouble: 3
Function: Real part of "casinh_upward":
double: 5
float: 5
ldouble: 7
Function: Imaginary part of "casinh_upward":
double: 3
float: 2
ldouble: 3
Function: Real part of "catan":
double: 1
float: 1
ldouble: 1
Function: Imaginary part of "catan":
double: 1
float: 1
ldouble: 1
Function: Real part of "catan_downward":
double: 1
float: 2
ldouble: 2
Function: Imaginary part of "catan_downward":
double: 2
float: 2
ldouble: 3
Function: Real part of "catan_towardzero":
double: 1
float: 2
ldouble: 2
Function: Imaginary part of "catan_towardzero":
double: 2
float: 2
ldouble: 3
Function: Real part of "catan_upward":
double: 1
float: 1
ldouble: 2
Function: Imaginary part of "catan_upward":
double: 3
float: 3
ldouble: 3
Function: Real part of "catanh":
double: 1
float: 1
ldouble: 1
Function: Imaginary part of "catanh":
double: 1
float: 1
ldouble: 1
Function: Real part of "catanh_downward":
double: 2
float: 2
ldouble: 3
Function: Imaginary part of "catanh_downward":
double: 1
float: 2
ldouble: 2
Function: Real part of "catanh_towardzero":
double: 2
float: 2
ldouble: 3
Function: Imaginary part of "catanh_towardzero":
double: 1
float: 2
ldouble: 2
Function: Real part of "catanh_upward":
double: 4
float: 4
ldouble: 4
Function: Imaginary part of "catanh_upward":
double: 1
float: 1
ldouble: 2
Function: "cbrt":
double: 4
float: 1
ldouble: 1
Function: "cbrt_downward":
double: 4
float: 1
ldouble: 1
Function: "cbrt_towardzero":
double: 3
float: 1
ldouble: 1
Function: "cbrt_upward":
double: 5
float: 1
ldouble: 1
Function: Real part of "ccos":
double: 1
float: 1
ldouble: 1
Function: Imaginary part of "ccos":
double: 1
float: 1
ldouble: 1
Function: Real part of "ccos_downward":
double: 1
float: 1
ldouble: 2
Function: Imaginary part of "ccos_downward":
double: 3
float: 3
ldouble: 2
Function: Real part of "ccos_towardzero":
double: 1
float: 2
ldouble: 2
Function: Imaginary part of "ccos_towardzero":
double: 3
float: 3
ldouble: 2
Function: Real part of "ccos_upward":
double: 1
float: 2
ldouble: 3
Function: Imaginary part of "ccos_upward":
double: 2
float: 2
ldouble: 2
Function: Real part of "ccosh":
double: 1
float: 1
ldouble: 1
Function: Imaginary part of "ccosh":
double: 1
float: 1
ldouble: 1
Function: Real part of "ccosh_downward":
double: 2
float: 3
ldouble: 2
Function: Imaginary part of "ccosh_downward":
double: 3
float: 3
ldouble: 2
Function: Real part of "ccosh_towardzero":
double: 2
float: 3
ldouble: 2
Function: Imaginary part of "ccosh_towardzero":
double: 3
float: 3
ldouble: 2
Function: Real part of "ccosh_upward":
double: 1
float: 2
ldouble: 3
Function: Imaginary part of "ccosh_upward":
double: 2
float: 2
ldouble: 2
Function: Real part of "cexp":
double: 2
float: 1
ldouble: 1
Function: Imaginary part of "cexp":
double: 1
float: 2
ldouble: 1
Function: Real part of "cexp_downward":
double: 2
float: 2
ldouble: 2
Function: Imaginary part of "cexp_downward":
double: 3
float: 3
ldouble: 2
Function: Real part of "cexp_towardzero":
double: 2
float: 2
ldouble: 2
Function: Imaginary part of "cexp_towardzero":
double: 3
float: 3
ldouble: 2
Function: Real part of "cexp_upward":
double: 1
float: 2
ldouble: 3
Function: Imaginary part of "cexp_upward":
double: 3
float: 2
ldouble: 3
Function: Real part of "clog":
double: 3
float: 3
ldouble: 2
Function: Imaginary part of "clog":
double: 1
float: 1
ldouble: 1
Function: Real part of "clog10":
double: 3
float: 4
ldouble: 2
Function: Imaginary part of "clog10":
double: 2
float: 2
ldouble: 2
Function: Real part of "clog10_downward":
double: 5
float: 5
ldouble: 3
Function: Imaginary part of "clog10_downward":
double: 2
float: 4
ldouble: 3
Function: Real part of "clog10_towardzero":
double: 5
float: 5
ldouble: 4
Function: Imaginary part of "clog10_towardzero":
double: 2
float: 4
ldouble: 3
Function: Real part of "clog10_upward":
double: 6
float: 5
ldouble: 4
Function: Imaginary part of "clog10_upward":
double: 2
float: 4
ldouble: 3
Function: Real part of "clog_downward":
double: 4
float: 3
ldouble: 3
Function: Imaginary part of "clog_downward":
double: 1
float: 2
ldouble: 2
Function: Real part of "clog_towardzero":
double: 4
float: 4
ldouble: 3
Function: Imaginary part of "clog_towardzero":
double: 1
float: 3
ldouble: 2
Function: Real part of "clog_upward":
double: 4
float: 3
ldouble: 4
Function: Imaginary part of "clog_upward":
double: 1
float: 2
ldouble: 2
Function: "cos":
double: 1
float: 1
ldouble: 2
Function: "cos_downward":
double: 1
float: 1
ldouble: 3
Function: "cos_towardzero":
double: 1
float: 1
ldouble: 1
Function: "cos_upward":
double: 1
float: 1
ldouble: 2
Function: "cosh":
double: 2
float: 2
ldouble: 2
Function: "cosh_downward":
double: 3
float: 1
ldouble: 3
Function: "cosh_towardzero":
double: 3
float: 1
ldouble: 3
Function: "cosh_upward":
double: 2
float: 2
ldouble: 3
Function: Real part of "cpow":
double: 2
float: 5
ldouble: 4
Function: Imaginary part of "cpow":
float: 2
ldouble: 1
Function: Real part of "cpow_downward":
double: 5
float: 8
ldouble: 6
Function: Imaginary part of "cpow_downward":
double: 1
float: 2
ldouble: 2
Function: Real part of "cpow_towardzero":
double: 5
float: 8
ldouble: 6
Function: Imaginary part of "cpow_towardzero":
double: 1
float: 2
ldouble: 2
Function: Real part of "cpow_upward":
double: 4
float: 1
ldouble: 3
Function: Imaginary part of "cpow_upward":
double: 1
float: 2
ldouble: 2
Function: Real part of "csin":
double: 1
float: 1
ldouble: 1
Function: Imaginary part of "csin":
ldouble: 1
Function: Real part of "csin_downward":
double: 3
float: 3
ldouble: 2
Function: Imaginary part of "csin_downward":
double: 1
float: 1
ldouble: 2
Function: Real part of "csin_towardzero":
double: 3
float: 3
ldouble: 2
Function: Imaginary part of "csin_towardzero":
double: 1
float: 1
ldouble: 2
Function: Real part of "csin_upward":
double: 2
float: 2
ldouble: 2
Function: Imaginary part of "csin_upward":
double: 1
float: 2
ldouble: 3
Function: Real part of "csinh":
float: 1
ldouble: 1
Function: Imaginary part of "csinh":
double: 1
float: 1
ldouble: 1
Function: Real part of "csinh_downward":
double: 2
float: 2
ldouble: 2
Function: Imaginary part of "csinh_downward":
double: 3
float: 3
ldouble: 2
Function: Real part of "csinh_towardzero":
double: 2
float: 2
ldouble: 2
Function: Imaginary part of "csinh_towardzero":
double: 3
float: 3
ldouble: 2
Function: Real part of "csinh_upward":
double: 1
float: 2
ldouble: 3
Function: Imaginary part of "csinh_upward":
double: 2
float: 2
ldouble: 2
Function: Real part of "csqrt":
double: 2
float: 2
ldouble: 2
Function: Imaginary part of "csqrt":
double: 2
float: 2
ldouble: 2
Function: Real part of "csqrt_downward":
double: 5
float: 4
ldouble: 4
Function: Imaginary part of "csqrt_downward":
double: 4
float: 3
ldouble: 3
Function: Real part of "csqrt_towardzero":
double: 4
float: 3
ldouble: 3
Function: Imaginary part of "csqrt_towardzero":
double: 4
float: 3
ldouble: 3
Function: Real part of "csqrt_upward":
double: 5
float: 4
ldouble: 4
Function: Imaginary part of "csqrt_upward":
double: 3
float: 3
ldouble: 3
Function: Real part of "ctan":
double: 1
float: 1
ldouble: 3
Function: Imaginary part of "ctan":
double: 2
float: 2
ldouble: 3
Function: Real part of "ctan_downward":
double: 6
float: 5
ldouble: 4
Function: Imaginary part of "ctan_downward":
double: 2
float: 2
ldouble: 5
Function: Real part of "ctan_towardzero":
double: 5
float: 3
ldouble: 4
Function: Imaginary part of "ctan_towardzero":
double: 2
float: 2
ldouble: 5
Function: Real part of "ctan_upward":
double: 2
float: 4
ldouble: 5
Function: Imaginary part of "ctan_upward":
double: 2
float: 3
ldouble: 5
Function: Real part of "ctanh":
double: 2
float: 2
ldouble: 3
Function: Imaginary part of "ctanh":
double: 2
float: 1
ldouble: 3
Function: Real part of "ctanh_downward":
double: 4
float: 2
ldouble: 5
Function: Imaginary part of "ctanh_downward":
double: 6
float: 5
ldouble: 4
Function: Real part of "ctanh_towardzero":
double: 2
float: 2
ldouble: 5
Function: Imaginary part of "ctanh_towardzero":
double: 5
float: 2
ldouble: 3
Function: Real part of "ctanh_upward":
double: 2
float: 3
ldouble: 5
Function: Imaginary part of "ctanh_upward":
double: 2
float: 3
ldouble: 5
Function: "erf":
double: 1
float: 1
ldouble: 1
Function: "erf_downward":
double: 1
float: 1
ldouble: 2
Function: "erf_towardzero":
double: 1
float: 1
ldouble: 1
Function: "erf_upward":
double: 1
float: 1
ldouble: 2
Function: "erfc":
double: 2
float: 2
ldouble: 4
Function: "erfc_downward":
double: 4
float: 4
ldouble: 5
Function: "erfc_towardzero":
double: 3
float: 3
ldouble: 4
Function: "erfc_upward":
double: 4
float: 4
ldouble: 5
Function: "exp":
double: 1
float: 1
ldouble: 1
Function: "exp10":
double: 2
float: 1
ldouble: 2
Function: "exp10_downward":
double: 2
float: 1
ldouble: 3
Function: "exp10_towardzero":
double: 2
float: 1
ldouble: 3
Function: "exp10_upward":
double: 2
float: 1
ldouble: 3
Function: "exp2":
double: 1
float: 1
ldouble: 1
Function: "exp2_downward":
double: 1
float: 1
ldouble: 1
Function: "exp2_towardzero":
double: 1
float: 1
ldouble: 1
Function: "exp2_upward":
double: 1
float: 1
ldouble: 2
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
float: 1
ldouble: 2
Function: "expm1_downward":
double: 1
float: 1
ldouble: 2
Function: "expm1_towardzero":
double: 1
float: 2
ldouble: 4
Function: "expm1_upward":
double: 1
float: 1
ldouble: 3
Function: "gamma":
double: 3
float: 4
ldouble: 5
Function: "gamma_downward":
double: 4
float: 4
ldouble: 8
Function: "gamma_towardzero":
double: 4
float: 3
ldouble: 5
Function: "gamma_upward":
double: 4
float: 5
ldouble: 8
Function: "hypot":
double: 1
ldouble: 1
Function: "hypot_downward":
double: 1
ldouble: 1
Function: "hypot_towardzero":
double: 1
ldouble: 1
Function: "hypot_upward":
double: 1
ldouble: 1
Function: "j0":
double: 2
float: 8
ldouble: 2
Function: "j0_downward":
double: 2
float: 4
ldouble: 4
Function: "j0_towardzero":
double: 5
float: 6
ldouble: 4
Function: "j0_upward":
double: 4
float: 5
ldouble: 5
Function: "j1":
double: 2
float: 8
ldouble: 4
Function: "j1_downward":
double: 3
float: 5
ldouble: 4
Function: "j1_towardzero":
double: 3
float: 2
ldouble: 4
Function: "j1_upward":
double: 3
float: 4
ldouble: 3
Function: "jn":
double: 4
float: 4
ldouble: 7
Function: "jn_downward":
double: 4
float: 5
ldouble: 8
Function: "jn_towardzero":
double: 4
float: 5
ldouble: 8
Function: "jn_upward":
double: 5
float: 4
ldouble: 7
Function: "lgamma":
double: 3
float: 4
ldouble: 5
Function: "lgamma_downward":
double: 4
float: 4
ldouble: 8
Function: "lgamma_towardzero":
double: 4
float: 3
ldouble: 5
Function: "lgamma_upward":
double: 4
float: 5
ldouble: 8
Function: "log":
double: 1
float: 1
ldouble: 1
Function: "log10":
double: 2
float: 2
ldouble: 2
Function: "log10_downward":
double: 2
float: 3
ldouble: 1
Function: "log10_towardzero":
double: 2
float: 2
ldouble: 1
Function: "log10_upward":
double: 2
float: 2
ldouble: 1
Function: "log1p":
double: 1
float: 1
ldouble: 3
Function: "log1p_downward":
double: 1
float: 2
ldouble: 3
Function: "log1p_towardzero":
double: 2
float: 2
ldouble: 3
Function: "log1p_upward":
double: 2
float: 2
ldouble: 2
Function: "log2":
double: 1
float: 1
ldouble: 3
Function: "log2_downward":
double: 3
float: 3
ldouble: 3
Function: "log2_towardzero":
double: 2
float: 2
ldouble: 1
Function: "log2_upward":
double: 3
float: 3
ldouble: 1
Function: "log_downward":
float: 2
ldouble: 1
Function: "log_towardzero":
float: 2
ldouble: 2
Function: "log_upward":
double: 1
float: 2
ldouble: 1
Function: "pow":
double: 1
float: 1
ldouble: 2
Function: "pow_downward":
double: 1
float: 1
ldouble: 2
Function: "pow_towardzero":
double: 1
float: 1
ldouble: 2
Function: "pow_upward":
double: 1
float: 1
ldouble: 2
Function: "sin":
double: 1
float: 1
ldouble: 2
Function: "sin_downward":
double: 1
float: 1
ldouble: 3
Function: "sin_towardzero":
double: 1
float: 1
ldouble: 2
Function: "sin_upward":
double: 1
float: 1
ldouble: 3
Function: "sincos":
double: 1
float: 1
ldouble: 1
Function: "sincos_downward":
double: 1
float: 1
ldouble: 3
Function: "sincos_towardzero":
double: 1
float: 1
ldouble: 2
Function: "sincos_upward":
double: 1
float: 1
ldouble: 3
Function: "sinh":
double: 2
float: 2
ldouble: 2
Function: "sinh_downward":
double: 3
float: 3
ldouble: 3
Function: "sinh_towardzero":
double: 3
float: 2
ldouble: 3
Function: "sinh_upward":
double: 3
float: 3
ldouble: 4
Function: "tan":
float: 1
ldouble: 1
Function: "tan_downward":
double: 1
float: 2
ldouble: 1
Function: "tan_towardzero":
double: 1
float: 1
ldouble: 1
Function: "tan_upward":
double: 1
float: 1
ldouble: 1
Function: "tanh":
double: 2
float: 2
ldouble: 2
Function: "tanh_downward":
double: 3
float: 3
ldouble: 4
Function: "tanh_towardzero":
double: 2
float: 2
ldouble: 3
Function: "tanh_upward":
double: 3
float: 3
ldouble: 3
Function: "tgamma":
double: 9
float: 8
ldouble: 4
Function: "tgamma_downward":
double: 8
float: 7
ldouble: 5
Function: "tgamma_towardzero":
double: 9
float: 7
ldouble: 5
Function: "tgamma_upward":
double: 9
float: 8
ldouble: 4
Function: "y0":
double: 2
float: 6
ldouble: 3
Function: "y0_downward":
double: 3
float: 4
ldouble: 4
Function: "y0_towardzero":
double: 3
float: 3
ldouble: 3
Function: "y0_upward":
double: 2
float: 5
ldouble: 3
Function: "y1":
double: 3
float: 2
ldouble: 2
Function: "y1_downward":
double: 3
float: 2
ldouble: 4
Function: "y1_towardzero":
double: 3
float: 2
ldouble: 2
Function: "y1_upward":
double: 5
float: 2
ldouble: 5
Function: "yn":
double: 3
float: 3
ldouble: 5
Function: "yn_downward":
double: 3
float: 4
ldouble: 5
Function: "yn_towardzero":
double: 3
float: 3
ldouble: 5
Function: "yn_upward":
double: 4
float: 5
ldouble: 5
# end of automatic generation