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-rw-r--r--lib/std/math/scalbn.zig92
1 files changed, 92 insertions, 0 deletions
diff --git a/lib/std/math/scalbn.zig b/lib/std/math/scalbn.zig
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+++ b/lib/std/math/scalbn.zig
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+// Ported from musl, which is licensed under the MIT license:
+// https://git.musl-libc.org/cgit/musl/tree/COPYRIGHT
+//
+// https://git.musl-libc.org/cgit/musl/tree/src/math/scalbnf.c
+// https://git.musl-libc.org/cgit/musl/tree/src/math/scalbn.c
+
+const std = @import("../std.zig");
+const math = std.math;
+const expect = std.testing.expect;
+
+/// Returns x * 2^n.
+pub fn scalbn(x: var, n: i32) @typeOf(x) {
+ const T = @typeOf(x);
+ return switch (T) {
+ f32 => scalbn32(x, n),
+ f64 => scalbn64(x, n),
+ else => @compileError("scalbn not implemented for " ++ @typeName(T)),
+ };
+}
+
+fn scalbn32(x: f32, n_: i32) f32 {
+ var y = x;
+ var n = n_;
+
+ if (n > 127) {
+ y *= 0x1.0p127;
+ n -= 127;
+ if (n > 1023) {
+ y *= 0x1.0p127;
+ n -= 127;
+ if (n > 127) {
+ n = 127;
+ }
+ }
+ } else if (n < -126) {
+ y *= 0x1.0p-126 * 0x1.0p24;
+ n += 126 - 24;
+ if (n < -126) {
+ y *= 0x1.0p-126 * 0x1.0p24;
+ n += 126 - 24;
+ if (n < -126) {
+ n = -126;
+ }
+ }
+ }
+
+ const u = @intCast(u32, n +% 0x7F) << 23;
+ return y * @bitCast(f32, u);
+}
+
+fn scalbn64(x: f64, n_: i32) f64 {
+ var y = x;
+ var n = n_;
+
+ if (n > 1023) {
+ y *= 0x1.0p1023;
+ n -= 1023;
+ if (n > 1023) {
+ y *= 0x1.0p1023;
+ n -= 1023;
+ if (n > 1023) {
+ n = 1023;
+ }
+ }
+ } else if (n < -1022) {
+ y *= 0x1.0p-1022 * 0x1.0p53;
+ n += 1022 - 53;
+ if (n < -1022) {
+ y *= 0x1.0p-1022 * 0x1.0p53;
+ n += 1022 - 53;
+ if (n < -1022) {
+ n = -1022;
+ }
+ }
+ }
+
+ const u = @intCast(u64, n +% 0x3FF) << 52;
+ return y * @bitCast(f64, u);
+}
+
+test "math.scalbn" {
+ expect(scalbn(f32(1.5), 4) == scalbn32(1.5, 4));
+ expect(scalbn(f64(1.5), 4) == scalbn64(1.5, 4));
+}
+
+test "math.scalbn32" {
+ expect(scalbn32(1.5, 4) == 24.0);
+}
+
+test "math.scalbn64" {
+ expect(scalbn64(1.5, 4) == 24.0);
+}