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Diffstat (limited to 'vendor/libm/src/math/asinf.rs')
-rw-r--r-- | vendor/libm/src/math/asinf.rs | 74 |
1 files changed, 74 insertions, 0 deletions
diff --git a/vendor/libm/src/math/asinf.rs b/vendor/libm/src/math/asinf.rs new file mode 100644 index 000000000..ce0f4a997 --- /dev/null +++ b/vendor/libm/src/math/asinf.rs @@ -0,0 +1,74 @@ +/* origin: FreeBSD /usr/src/lib/msun/src/e_asinf.c */ +/* + * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. + */ +/* + * ==================================================== + * 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. + * ==================================================== + */ + +use super::fabsf::fabsf; +use super::sqrt::sqrt; + +const PIO2: f64 = 1.570796326794896558e+00; + +/* coefficients for R(x^2) */ +const P_S0: f32 = 1.6666586697e-01; +const P_S1: f32 = -4.2743422091e-02; +const P_S2: f32 = -8.6563630030e-03; +const Q_S1: f32 = -7.0662963390e-01; + +#[inline] +fn r(z: f32) -> f32 { + let p = z * (P_S0 + z * (P_S1 + z * P_S2)); + let q = 1. + z * Q_S1; + p / q +} + +/// Arcsine (f32) +/// +/// Computes the inverse sine (arc sine) of the argument `x`. +/// Arguments to asin must be in the range -1 to 1. +/// Returns values in radians, in the range of -pi/2 to pi/2. +#[inline] +#[cfg_attr(all(test, assert_no_panic), no_panic::no_panic)] +pub fn asinf(mut x: f32) -> f32 { + let x1p_120 = f64::from_bits(0x3870000000000000); // 0x1p-120 === 2 ^ (-120) + + let hx = x.to_bits(); + let ix = hx & 0x7fffffff; + + if ix >= 0x3f800000 { + /* |x| >= 1 */ + if ix == 0x3f800000 { + /* |x| == 1 */ + return ((x as f64) * PIO2 + x1p_120) as f32; /* asin(+-1) = +-pi/2 with inexact */ + } + return 0. / (x - x); /* asin(|x|>1) is NaN */ + } + + if ix < 0x3f000000 { + /* |x| < 0.5 */ + /* if 0x1p-126 <= |x| < 0x1p-12, avoid raising underflow */ + if (ix < 0x39800000) && (ix >= 0x00800000) { + return x; + } + return x + x * r(x * x); + } + + /* 1 > |x| >= 0.5 */ + let z = (1. - fabsf(x)) * 0.5; + let s = sqrt(z as f64); + x = (PIO2 - 2. * (s + s * (r(z) as f64))) as f32; + if (hx >> 31) != 0 { + -x + } else { + x + } +} |