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path: root/std/math/scalbn.zig
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const std = @import("../index.zig");
const math = std.math;
const assert = std.debug.assert;

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 = 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 = u64(n +% 0x3FF) << 52;
    return y * @bitCast(f64, u);
}

test "math.scalbn" {
    assert(scalbn(f32(1.5), 4) == scalbn32(1.5, 4));
    assert(scalbn(f64(1.5), 4) == scalbn64(1.5, 4));
}

test "math.scalbn32" {
    assert(scalbn32(1.5, 4) == 24.0);
}

test "math.scalbn64" {
    assert(scalbn64(1.5, 4) == 24.0);
}