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catrig.c
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catrigf.c
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catrigl.c
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e_acos.c
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e_acosf.c
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e_acosh.c
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e_acoshf.c
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e_acoshl.c
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e_acosl.c
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e_asin.c
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e_asinf.c
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e_asinl.c
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e_atan2.c
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e_atan2f.c
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e_atan2l.c
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e_atanh.c
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e_atanhf.c
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e_atanhl.c
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e_cosh.c
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e_coshf.c
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e_coshl.c
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e_exp.c
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e_expf.c
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e_fmod.c
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e_fmodf.c
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e_fmodl.c
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e_gamma.c
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e_gamma_r.c
(801 B)
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e_gammaf.c
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e_gammaf_r.c
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e_hypot.c
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e_hypotf.c
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e_hypotl.c
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e_j0.c
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e_j0f.c
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e_j1.c
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e_j1f.c
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e_jn.c
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e_jnf.c
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e_lgamma.c
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e_lgamma_r.c
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e_lgammaf.c
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e_lgammaf_r.c
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e_lgammal.c
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e_log.c
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e_log10.c
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e_log10f.c
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e_log2.c
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e_log2f.c
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e_logf.c
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e_pow.c
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e_powf.c
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e_rem_pio2.c
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e_rem_pio2f.c
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e_remainder.c
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e_remainderf.c
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e_remainderl.c
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e_scalb.c
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e_scalbf.c
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e_sinh.c
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e_sinhf.c
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e_sinhl.c
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e_sqrt.c
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e_sqrtf.c
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e_sqrtl.c
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fenv-softfloat.h
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imprecise.c
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k_cos.c
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k_cosf.c
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k_exp.c
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k_expf.c
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k_log.h
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k_logf.h
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k_rem_pio2.c
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k_sin.c
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k_sincos.h
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k_sincosf.h
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k_sincosl.h
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k_sinf.c
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k_tan.c
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k_tanf.c
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math.h
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math_private.h
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s_asinh.c
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s_asinhf.c
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s_asinhl.c
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s_atan.c
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s_atanf.c
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s_atanl.c
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s_carg.c
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s_cargf.c
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s_cargl.c
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s_cbrt.c
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s_cbrtf.c
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s_cbrtl.c
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s_ccosh.c
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s_ccoshf.c
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s_ceil.c
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s_ceilf.c
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s_ceill.c
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s_cexp.c
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s_cexpf.c
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s_cimag.c
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s_cimagf.c
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s_cimagl.c
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s_clog.c
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s_clogf.c
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s_clogl.c
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s_conj.c
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s_conjf.c
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s_conjl.c
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s_copysign.c
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s_copysignf.c
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s_copysignl.c
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s_cos.c
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s_cosf.c
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s_cosl.c
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s_cpow.c
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s_cpowf.c
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s_cpowl.c
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s_cproj.c
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s_cprojf.c
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s_cprojl.c
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s_creal.c
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s_crealf.c
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s_creall.c
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s_csinh.c
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s_csinhf.c
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s_csqrt.c
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s_csqrtf.c
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s_csqrtl.c
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s_ctanh.c
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s_ctanhf.c
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s_erf.c
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s_erff.c
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s_exp2.c
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s_exp2f.c
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s_expm1.c
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s_expm1f.c
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s_fabs.c
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s_fabsf.c
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s_fabsl.c
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s_fdim.c
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s_finite.c
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s_finitef.c
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s_floor.c
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s_floorf.c
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s_floorl.c
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s_fma.c
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s_fmaf.c
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s_fmal.c
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s_fmax.c
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s_fmaxf.c
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s_fmaxl.c
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s_fmin.c
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s_fminf.c
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s_fminl.c
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s_frexp.c
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s_frexpf.c
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s_frexpl.c
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s_ilogb.c
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s_ilogbf.c
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s_ilogbl.c
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s_isfinite.c
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s_isnan.c
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s_isnormal.c
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s_llrint.c
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s_llrintf.c
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s_llrintl.c
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s_llround.c
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s_llroundf.c
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s_llroundl.c
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s_log1p.c
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s_log1pf.c
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s_logb.c
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s_logbf.c
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s_logbl.c
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s_lrint.c
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s_lrintf.c
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s_lrintl.c
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s_lround.c
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s_lroundf.c
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s_lroundl.c
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s_modf.c
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s_modff.c
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s_modfl.c
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s_nan.c
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s_nearbyint.c
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s_nextafter.c
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s_nextafterf.c
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s_nextafterl.c
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s_nexttoward.c
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s_nexttowardf.c
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s_remquo.c
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s_remquof.c
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s_remquol.c
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s_rint.c
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s_rintf.c
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s_rintl.c
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s_round.c
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s_roundf.c
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s_roundl.c
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s_scalbln.c
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s_scalbn.c
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s_scalbnf.c
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s_scalbnl.c
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s_signbit.c
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s_signgam.c
(61 B)
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s_significand.c
(727 B)
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s_significandf.c
(691 B)
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s_sin.c
(2.18 KB)
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s_sincos.c
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s_sincosf.c
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s_sincosl.c
(2.67 KB)
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s_sinf.c
(2.18 KB)
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s_sinl.c
(2.49 KB)
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s_tan.c
(2.02 KB)
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s_tanf.c
(1.97 KB)
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s_tanh.c
(2.02 KB)
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s_tanhf.c
(1.39 KB)
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s_tanhl.c
(5.09 KB)
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s_tanl.c
(2.6 KB)
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s_tgammaf.c
(1.75 KB)
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s_trunc.c
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s_truncf.c
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s_truncl.c
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w_cabs.c
(365 B)
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w_cabsf.c
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w_cabsl.c
(357 B)
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w_drem.c
(211 B)
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w_dremf.c
(254 B)
Editing: s_tanhl.c
/* from: FreeBSD: head/lib/msun/src/s_tanhl.c XXX */ /* @(#)s_tanh.c 5.1 93/09/24 */ /* * ==================================================== * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this * software is freely granted, provided that this notice * is preserved. * ==================================================== */ #include <sys/cdefs.h> __FBSDID("$FreeBSD$"); /* * See s_tanh.c for complete comments. * * Converted to long double by Bruce D. Evans. */ #include <float.h> #ifdef __i386__ #include <ieeefp.h> #endif #include "math.h" #include "math_private.h" #include "fpmath.h" #include "k_expl.h" #if LDBL_MAX_EXP != 0x4000 /* We also require the usual expsign encoding. */ #error "Unsupported long double format" #endif #define BIAS (LDBL_MAX_EXP - 1) static const volatile double tiny = 1.0e-300; static const double one = 1.0; #if LDBL_MANT_DIG == 64 /* * Domain [-0.25, 0.25], range ~[-1.6304e-22, 1.6304e-22]: * |tanh(x)/x - t(x)| < 2**-72.3 */ static const union IEEEl2bits T3u = LD80C(0xaaaaaaaaaaaaaa9f, -2, -3.33333333333333333017e-1L); #define T3 T3u.e static const double T5 = 1.3333333333333314e-1, /* 0x1111111111110a.0p-55 */ T7 = -5.3968253968210485e-2, /* -0x1ba1ba1ba1a1a1.0p-57 */ T9 = 2.1869488531393817e-2, /* 0x1664f488172022.0p-58 */ T11 = -8.8632352345964591e-3, /* -0x1226e34bc138d5.0p-59 */ T13 = 3.5921169709993771e-3, /* 0x1d6d371d3e400f.0p-61 */ T15 = -1.4555786415756001e-3, /* -0x17d923aa63814d.0p-62 */ T17 = 5.8645267876296793e-4, /* 0x13378589b85aa7.0p-63 */ T19 = -2.1121033571392224e-4; /* -0x1baf0af80c4090.0p-65 */ #elif LDBL_MANT_DIG == 113 /* * Domain [-0.25, 0.25], range ~[-2.4211e-37, 2.4211e-37]: * |tanh(x)/x - t(x)| < 2**121.6 */ static const long double T3 = -3.33333333333333333333333333333332980e-1L, /* -0x1555555555555555555555555554e.0p-114L */ T5 = 1.33333333333333333333333333332707260e-1L, /* 0x1111111111111111111111110ab7b.0p-115L */ T7 = -5.39682539682539682539682535723482314e-2L, /* -0x1ba1ba1ba1ba1ba1ba1ba17b5fc98.0p-117L */ T9 = 2.18694885361552028218693591149061717e-2L, /* 0x1664f4882c10f9f32d6b1a12a25e5.0p-118L */ T11 = -8.86323552990219656883762347736381851e-3L, /* -0x1226e355e6c23c8f5a5a0f386cb4d.0p-119L */ T13 = 3.59212803657248101358314398220822722e-3L, /* 0x1d6d3d0e157ddfb403ad3637442c6.0p-121L */ T15 = -1.45583438705131796512568010348874662e-3L; /* -0x17da36452b75e150c44cc34253b34.0p-122L */ static const double T17 = 5.9002744094556621e-4, /* 0x1355824803668e.0p-63 */ T19 = -2.3912911424260516e-4, /* -0x1f57d7734c8dde.0p-65 */ T21 = 9.6915379535512898e-5, /* 0x1967e18ad6a6ca.0p-66 */ T23 = -3.9278322983156353e-5, /* -0x1497d8e6b75729.0p-67 */ T25 = 1.5918887220143869e-5, /* 0x10b1319998cafa.0p-68 */ T27 = -6.4514295231630956e-6, /* -0x1b0f2b71b218eb.0p-70 */ T29 = 2.6120754043964365e-6, /* 0x15e963a3cf3a39.0p-71 */ T31 = -1.0407567231003314e-6, /* -0x1176041e656869.0p-72 */ T33 = 3.4744117554063574e-7; /* 0x1750fe732cab9c.0p-74 */ #endif /* LDBL_MANT_DIG == 64 */ static inline long double divl(long double a, long double b, long double c, long double d, long double e, long double f) { long double inv, r; float fr, fw; _2sumF(a, c); b = b + c; _2sumF(d, f); e = e + f; inv = 1 / (d + e); r = (a + b) * inv; fr = r; r = fr; fw = d + e; e = d - fw + e; d = fw; r = r + (a - d * r + b - e * r) * inv; return r; } long double tanhl(long double x) { long double hi,lo,s,x2,x4,z; #if LDBL_MANT_DIG == 113 double dx2; #endif int16_t jx,ix; GET_LDBL_EXPSIGN(jx,x); ix = jx&0x7fff; /* x is INF or NaN */ if(ix>=0x7fff) { if (jx>=0) return one/x+one; /* tanh(+-inf)=+-1 */ else return one/x-one; /* tanh(NaN) = NaN */ } ENTERI(); /* |x| < 40 */ if (ix < 0x4004 || fabsl(x) < 40) { /* |x|<40 */ if (__predict_false(ix<BIAS-(LDBL_MANT_DIG+1)/2)) { /* |x|<TINY */ /* tanh(+-0) = +0; tanh(tiny) = tiny(-+) with inexact: */ return (x == 0 ? x : (0x1p200 * x - x) * 0x1p-200); } if (ix<0x3ffd) { /* |x|<0.25 */ x2 = x*x; #if LDBL_MANT_DIG == 64 x4 = x2*x2; RETURNI(((T19*x2 + T17)*x4 + (T15*x2 + T13))*(x2*x*x2*x4*x4) + ((T11*x2 + T9)*x4 + (T7*x2 + T5))*(x2*x*x2) + T3*(x2*x) + x); #elif LDBL_MANT_DIG == 113 dx2 = x2; #if 0 RETURNI(((((((((((((((T33*dx2 + T31)*dx2 + T29)*dx2 + T27)*dx2 + T25)*x2 + T23)*x2 + T21)*x2 + T19)*x2 + T17)*x2 + T15)*x2 + T13)*x2 + T11)*x2 + T9)*x2 + T7)*x2 + T5)* (x2*x*x2) + T3*(x2*x) + x); #else long double q = ((((((((((((((T33*dx2 + T31)*dx2 + T29)*dx2 + T27)*dx2 + T25)*x2 + T23)*x2 + T21)*x2 + T19)*x2 + T17)*x2 + T15)*x2 + T13)*x2 + T11)*x2 + T9)*x2 + T7)*x2 + T5)* (x2*x*x2); RETURNI(q + T3*(x2*x) + x); #endif #endif } k_hexpl(2*fabsl(x), &hi, &lo); if (ix<0x4001 && fabsl(x) < 1.5) /* |x|<1.5 */ z = divl(hi, lo, -0.5, hi, lo, 0.5); else z = one - one/(lo+0.5+hi); /* |x| >= 40, return +-1 */ } else { z = one - tiny; /* raise inexact flag */ } s = 1; if (jx<0) s = -1; RETURNI(s*z); }
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