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authorDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-17 12:02:58 +0000
committerDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-17 12:02:58 +0000
commit698f8c2f01ea549d77d7dc3338a12e04c11057b9 (patch)
tree173a775858bd501c378080a10dca74132f05bc50 /vendor/compiler_builtins/libm/src/math/log2.rs
parentInitial commit. (diff)
downloadrustc-698f8c2f01ea549d77d7dc3338a12e04c11057b9.tar.xz
rustc-698f8c2f01ea549d77d7dc3338a12e04c11057b9.zip
Adding upstream version 1.64.0+dfsg1.upstream/1.64.0+dfsg1
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'vendor/compiler_builtins/libm/src/math/log2.rs')
-rw-r--r--vendor/compiler_builtins/libm/src/math/log2.rs106
1 files changed, 106 insertions, 0 deletions
diff --git a/vendor/compiler_builtins/libm/src/math/log2.rs b/vendor/compiler_builtins/libm/src/math/log2.rs
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+/* origin: FreeBSD /usr/src/lib/msun/src/e_log2.c */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+/*
+ * Return the base 2 logarithm of x. See log.c for most comments.
+ *
+ * Reduce x to 2^k (1+f) and calculate r = log(1+f) - f + f*f/2
+ * as in log.c, then combine and scale in extra precision:
+ * log2(x) = (f - f*f/2 + r)/log(2) + k
+ */
+
+use core::f64;
+
+const IVLN2HI: f64 = 1.44269504072144627571e+00; /* 0x3ff71547, 0x65200000 */
+const IVLN2LO: f64 = 1.67517131648865118353e-10; /* 0x3de705fc, 0x2eefa200 */
+const LG1: f64 = 6.666666666666735130e-01; /* 3FE55555 55555593 */
+const LG2: f64 = 3.999999999940941908e-01; /* 3FD99999 9997FA04 */
+const LG3: f64 = 2.857142874366239149e-01; /* 3FD24924 94229359 */
+const LG4: f64 = 2.222219843214978396e-01; /* 3FCC71C5 1D8E78AF */
+const LG5: f64 = 1.818357216161805012e-01; /* 3FC74664 96CB03DE */
+const LG6: f64 = 1.531383769920937332e-01; /* 3FC39A09 D078C69F */
+const LG7: f64 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */
+
+#[cfg_attr(all(test, assert_no_panic), no_panic::no_panic)]
+pub fn log2(mut x: f64) -> f64 {
+ let x1p54 = f64::from_bits(0x4350000000000000); // 0x1p54 === 2 ^ 54
+
+ let mut ui: u64 = x.to_bits();
+ let hfsq: f64;
+ let f: f64;
+ let s: f64;
+ let z: f64;
+ let r: f64;
+ let mut w: f64;
+ let t1: f64;
+ let t2: f64;
+ let y: f64;
+ let mut hi: f64;
+ let lo: f64;
+ let mut val_hi: f64;
+ let mut val_lo: f64;
+ let mut hx: u32;
+ let mut k: i32;
+
+ hx = (ui >> 32) as u32;
+ k = 0;
+ if hx < 0x00100000 || (hx >> 31) > 0 {
+ if ui << 1 == 0 {
+ return -1. / (x * x); /* log(+-0)=-inf */
+ }
+ if (hx >> 31) > 0 {
+ return (x - x) / 0.0; /* log(-#) = NaN */
+ }
+ /* subnormal number, scale x up */
+ k -= 54;
+ x *= x1p54;
+ ui = x.to_bits();
+ hx = (ui >> 32) as u32;
+ } else if hx >= 0x7ff00000 {
+ return x;
+ } else if hx == 0x3ff00000 && ui << 32 == 0 {
+ return 0.;
+ }
+
+ /* reduce x into [sqrt(2)/2, sqrt(2)] */
+ hx += 0x3ff00000 - 0x3fe6a09e;
+ k += (hx >> 20) as i32 - 0x3ff;
+ hx = (hx & 0x000fffff) + 0x3fe6a09e;
+ ui = (hx as u64) << 32 | (ui & 0xffffffff);
+ x = f64::from_bits(ui);
+
+ f = x - 1.0;
+ hfsq = 0.5 * f * f;
+ s = f / (2.0 + f);
+ z = s * s;
+ w = z * z;
+ t1 = w * (LG2 + w * (LG4 + w * LG6));
+ t2 = z * (LG1 + w * (LG3 + w * (LG5 + w * LG7)));
+ r = t2 + t1;
+
+ /* hi+lo = f - hfsq + s*(hfsq+R) ~ log(1+f) */
+ hi = f - hfsq;
+ ui = hi.to_bits();
+ ui &= (-1i64 as u64) << 32;
+ hi = f64::from_bits(ui);
+ lo = f - hi - hfsq + s * (hfsq + r);
+
+ val_hi = hi * IVLN2HI;
+ val_lo = (lo + hi) * IVLN2LO + lo * IVLN2HI;
+
+ /* spadd(val_hi, val_lo, y), except for not using double_t: */
+ y = k.into();
+ w = y + val_hi;
+ val_lo += (y - w) + val_hi;
+ val_hi = w;
+
+ val_lo + val_hi
+}