summaryrefslogtreecommitdiffstats
path: root/vendor/libm/src/math/atan2f.rs
diff options
context:
space:
mode:
Diffstat (limited to 'vendor/libm/src/math/atan2f.rs')
-rw-r--r--vendor/libm/src/math/atan2f.rs92
1 files changed, 92 insertions, 0 deletions
diff --git a/vendor/libm/src/math/atan2f.rs b/vendor/libm/src/math/atan2f.rs
new file mode 100644
index 000000000..7bbe5f1d4
--- /dev/null
+++ b/vendor/libm/src/math/atan2f.rs
@@ -0,0 +1,92 @@
+/* origin: FreeBSD /usr/src/lib/msun/src/e_atan2f.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::atanf;
+use super::fabsf;
+
+const PI: f32 = 3.1415927410e+00; /* 0x40490fdb */
+const PI_LO: f32 = -8.7422776573e-08; /* 0xb3bbbd2e */
+
+/// Arctangent of y/x (f32)
+///
+/// Computes the inverse tangent (arc tangent) of `y/x`.
+/// Produces the correct result even for angles near pi/2 or -pi/2 (that is, when `x` is near 0).
+/// Returns a value in radians, in the range of -pi to pi.
+#[inline]
+#[cfg_attr(all(test, assert_no_panic), no_panic::no_panic)]
+pub fn atan2f(y: f32, x: f32) -> f32 {
+ if x.is_nan() || y.is_nan() {
+ return x + y;
+ }
+ let mut ix = x.to_bits();
+ let mut iy = y.to_bits();
+
+ if ix == 0x3f800000 {
+ /* x=1.0 */
+ return atanf(y);
+ }
+ let m = ((iy >> 31) & 1) | ((ix >> 30) & 2); /* 2*sign(x)+sign(y) */
+ ix &= 0x7fffffff;
+ iy &= 0x7fffffff;
+
+ /* when y = 0 */
+ if iy == 0 {
+ return match m {
+ 0 | 1 => y, /* atan(+-0,+anything)=+-0 */
+ 2 => PI, /* atan(+0,-anything) = pi */
+ 3 | _ => -PI, /* atan(-0,-anything) =-pi */
+ };
+ }
+ /* when x = 0 */
+ if ix == 0 {
+ return if m & 1 != 0 { -PI / 2. } else { PI / 2. };
+ }
+ /* when x is INF */
+ if ix == 0x7f800000 {
+ return if iy == 0x7f800000 {
+ match m {
+ 0 => PI / 4., /* atan(+INF,+INF) */
+ 1 => -PI / 4., /* atan(-INF,+INF) */
+ 2 => 3. * PI / 4., /* atan(+INF,-INF)*/
+ 3 | _ => -3. * PI / 4., /* atan(-INF,-INF)*/
+ }
+ } else {
+ match m {
+ 0 => 0., /* atan(+...,+INF) */
+ 1 => -0., /* atan(-...,+INF) */
+ 2 => PI, /* atan(+...,-INF) */
+ 3 | _ => -PI, /* atan(-...,-INF) */
+ }
+ };
+ }
+ /* |y/x| > 0x1p26 */
+ if (ix + (26 << 23) < iy) || (iy == 0x7f800000) {
+ return if m & 1 != 0 { -PI / 2. } else { PI / 2. };
+ }
+
+ /* z = atan(|y/x|) with correct underflow */
+ let z = if (m & 2 != 0) && (iy + (26 << 23) < ix) {
+ /*|y/x| < 0x1p-26, x < 0 */
+ 0.
+ } else {
+ atanf(fabsf(y / x))
+ };
+ match m {
+ 0 => z, /* atan(+,+) */
+ 1 => -z, /* atan(-,+) */
+ 2 => PI - (z - PI_LO), /* atan(+,-) */
+ _ => (z - PI_LO) - PI, /* case 3 */ /* atan(-,-) */
+ }
+}