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authorDaniel Baumann <daniel.baumann@progress-linux.org>2024-06-07 05:48:48 +0000
committerDaniel Baumann <daniel.baumann@progress-linux.org>2024-06-07 05:48:48 +0000
commitef24de24a82fe681581cc130f342363c47c0969a (patch)
tree0d494f7e1a38b95c92426f58fe6eaa877303a86c /vendor/libm-0.1.4/src/math/atan.rs
parentReleasing progress-linux version 1.74.1+dfsg1-1~progress7.99u1. (diff)
downloadrustc-ef24de24a82fe681581cc130f342363c47c0969a.tar.xz
rustc-ef24de24a82fe681581cc130f342363c47c0969a.zip
Merging upstream version 1.75.0+dfsg1.
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'vendor/libm-0.1.4/src/math/atan.rs')
-rw-r--r--vendor/libm-0.1.4/src/math/atan.rs185
1 files changed, 0 insertions, 185 deletions
diff --git a/vendor/libm-0.1.4/src/math/atan.rs b/vendor/libm-0.1.4/src/math/atan.rs
deleted file mode 100644
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--- a/vendor/libm-0.1.4/src/math/atan.rs
+++ /dev/null
@@ -1,185 +0,0 @@
-/* origin: FreeBSD /usr/src/lib/msun/src/s_atan.c */
-/*
- * ====================================================
- * 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.
- * ====================================================
- */
-/* atan(x)
- * Method
- * 1. Reduce x to positive by atan(x) = -atan(-x).
- * 2. According to the integer k=4t+0.25 chopped, t=x, the argument
- * is further reduced to one of the following intervals and the
- * arctangent of t is evaluated by the corresponding formula:
- *
- * [0,7/16] atan(x) = t-t^3*(a1+t^2*(a2+...(a10+t^2*a11)...)
- * [7/16,11/16] atan(x) = atan(1/2) + atan( (t-0.5)/(1+t/2) )
- * [11/16.19/16] atan(x) = atan( 1 ) + atan( (t-1)/(1+t) )
- * [19/16,39/16] atan(x) = atan(3/2) + atan( (t-1.5)/(1+1.5t) )
- * [39/16,INF] atan(x) = atan(INF) + atan( -1/t )
- *
- * Constants:
- * The hexadecimal values are the intended ones for the following
- * constants. The decimal values may be used, provided that the
- * compiler will convert from decimal to binary accurately enough
- * to produce the hexadecimal values shown.
- */
-
-use super::fabs;
-use core::f64;
-
-const ATANHI: [f64; 4] = [
- 4.63647609000806093515e-01, /* atan(0.5)hi 0x3FDDAC67, 0x0561BB4F */
- 7.85398163397448278999e-01, /* atan(1.0)hi 0x3FE921FB, 0x54442D18 */
- 9.82793723247329054082e-01, /* atan(1.5)hi 0x3FEF730B, 0xD281F69B */
- 1.57079632679489655800e+00, /* atan(inf)hi 0x3FF921FB, 0x54442D18 */
-];
-
-const ATANLO: [f64; 4] = [
- 2.26987774529616870924e-17, /* atan(0.5)lo 0x3C7A2B7F, 0x222F65E2 */
- 3.06161699786838301793e-17, /* atan(1.0)lo 0x3C81A626, 0x33145C07 */
- 1.39033110312309984516e-17, /* atan(1.5)lo 0x3C700788, 0x7AF0CBBD */
- 6.12323399573676603587e-17, /* atan(inf)lo 0x3C91A626, 0x33145C07 */
-];
-
-const AT: [f64; 11] = [
- 3.33333333333329318027e-01, /* 0x3FD55555, 0x5555550D */
- -1.99999999998764832476e-01, /* 0xBFC99999, 0x9998EBC4 */
- 1.42857142725034663711e-01, /* 0x3FC24924, 0x920083FF */
- -1.11111104054623557880e-01, /* 0xBFBC71C6, 0xFE231671 */
- 9.09088713343650656196e-02, /* 0x3FB745CD, 0xC54C206E */
- -7.69187620504482999495e-02, /* 0xBFB3B0F2, 0xAF749A6D */
- 6.66107313738753120669e-02, /* 0x3FB10D66, 0xA0D03D51 */
- -5.83357013379057348645e-02, /* 0xBFADDE2D, 0x52DEFD9A */
- 4.97687799461593236017e-02, /* 0x3FA97B4B, 0x24760DEB */
- -3.65315727442169155270e-02, /* 0xBFA2B444, 0x2C6A6C2F */
- 1.62858201153657823623e-02, /* 0x3F90AD3A, 0xE322DA11 */
-];
-
-/// Arctangent (f64)
-///
-/// Computes the inverse tangent (arc tangent) of the input value.
-/// Returns a value 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 atan(x: f64) -> f64 {
- let mut x = x;
- let mut ix = (x.to_bits() >> 32) as u32;
- let sign = ix >> 31;
- ix &= 0x7fff_ffff;
- if ix >= 0x4410_0000 {
- if x.is_nan() {
- return x;
- }
-
- let z = ATANHI[3] + f64::from_bits(0x0380_0000); // 0x1p-120f
- return if sign != 0 { -z } else { z };
- }
-
- let id = if ix < 0x3fdc_0000 {
- /* |x| < 0.4375 */
- if ix < 0x3e40_0000 {
- /* |x| < 2^-27 */
- if ix < 0x0010_0000 {
- /* raise underflow for subnormal x */
- force_eval!(x as f32);
- }
-
- return x;
- }
-
- -1
- } else {
- x = fabs(x);
- if ix < 0x3ff30000 {
- /* |x| < 1.1875 */
- if ix < 0x3fe60000 {
- /* 7/16 <= |x| < 11/16 */
- x = (2. * x - 1.) / (2. + x);
- 0
- } else {
- /* 11/16 <= |x| < 19/16 */
- x = (x - 1.) / (x + 1.);
- 1
- }
- } else if ix < 0x40038000 {
- /* |x| < 2.4375 */
- x = (x - 1.5) / (1. + 1.5 * x);
- 2
- } else {
- /* 2.4375 <= |x| < 2^66 */
- x = -1. / x;
- 3
- }
- };
-
- let z = x * x;
- let w = z * z;
- /* break sum from i=0 to 10 AT[i]z**(i+1) into odd and even poly */
- let s1 = z * (AT[0] + w * (AT[2] + w * (AT[4] + w * (AT[6] + w * (AT[8] + w * AT[10])))));
- let s2 = w * (AT[1] + w * (AT[3] + w * (AT[5] + w * (AT[7] + w * AT[9]))));
-
- if id < 0 {
- return x - x * (s1 + s2);
- }
-
- let z = i!(ATANHI, id as usize) - (x * (s1 + s2) - i!(ATANLO, id as usize) - x);
-
- if sign != 0 {
- -z
- } else {
- z
- }
-}
-
-#[cfg(test)]
-mod tests {
- use super::atan;
- use core::f64;
-
- #[test]
- fn sanity_check() {
- for (input, answer) in [
- (3.0_f64.sqrt() / 3.0, f64::consts::FRAC_PI_6),
- (1.0, f64::consts::FRAC_PI_4),
- (3.0_f64.sqrt(), f64::consts::FRAC_PI_3),
- (-3.0_f64.sqrt() / 3.0, -f64::consts::FRAC_PI_6),
- (-1.0, -f64::consts::FRAC_PI_4),
- (-3.0_f64.sqrt(), -f64::consts::FRAC_PI_3),
- ]
- .iter()
- {
- assert!(
- (atan(*input) - answer) / answer < 1e-5,
- "\natan({:.4}/16) = {:.4}, actual: {}",
- input * 16.0,
- answer,
- atan(*input)
- );
- }
- }
-
- #[test]
- fn zero() {
- assert_eq!(atan(0.0), 0.0);
- }
-
- #[test]
- fn infinity() {
- assert_eq!(atan(f64::INFINITY), f64::consts::FRAC_PI_2);
- }
-
- #[test]
- fn minus_infinity() {
- assert_eq!(atan(f64::NEG_INFINITY), -f64::consts::FRAC_PI_2);
- }
-
- #[test]
- fn nan() {
- assert!(atan(f64::NAN).is_nan());
- }
-}