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+// origin: FreeBSD /usr/src/lib/msun/src/s_tan.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.
+// ====================================================
+
+use super::{k_tan, rem_pio2};
+
+// tan(x)
+// Return tangent function of x.
+//
+// kernel function:
+// k_tan ... tangent function on [-pi/4,pi/4]
+// rem_pio2 ... argument reduction routine
+//
+// Method.
+// Let S,C and T denote the sin, cos and tan respectively on
+// [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2
+// in [-pi/4 , +pi/4], and let n = k mod 4.
+// We have
+//
+// n sin(x) cos(x) tan(x)
+// ----------------------------------------------------------
+// 0 S C T
+// 1 C -S -1/T
+// 2 -S -C T
+// 3 -C S -1/T
+// ----------------------------------------------------------
+//
+// Special cases:
+// Let trig be any of sin, cos, or tan.
+// trig(+-INF) is NaN, with signals;
+// trig(NaN) is that NaN;
+//
+// Accuracy:
+// TRIG(x) returns trig(x) nearly rounded
+#[cfg_attr(all(test, assert_no_panic), no_panic::no_panic)]
+pub fn tan(x: f64) -> f64 {
+ let x1p120 = f32::from_bits(0x7b800000); // 0x1p120f === 2 ^ 120
+
+ let ix = (f64::to_bits(x) >> 32) as u32 & 0x7fffffff;
+ /* |x| ~< pi/4 */
+ if ix <= 0x3fe921fb {
+ if ix < 0x3e400000 {
+ /* |x| < 2**-27 */
+ /* raise inexact if x!=0 and underflow if subnormal */
+ force_eval!(if ix < 0x00100000 {
+ x / x1p120 as f64
+ } else {
+ x + x1p120 as f64
+ });
+ return x;
+ }
+ return k_tan(x, 0.0, 0);
+ }
+
+ /* tan(Inf or NaN) is NaN */
+ if ix >= 0x7ff00000 {
+ return x - x;
+ }
+
+ /* argument reduction */
+ let (n, y0, y1) = rem_pio2(x);
+ k_tan(y0, y1, n & 1)
+}