zig/std/math/ceil.zig

// Special Cases:
//
// - ceil(+-0)   = +-0
// - ceil(+-inf) = +-inf
// - ceil(nan)   = nan

const builtin = @import("builtin");
const std = @import("../index.zig");
const math = std.math;
const assert = std.debug.assert;

pub fn ceil(x: var) @typeOf(x) {
    const T = @typeOf(x);
    return switch (T) {
        f32 => ceil32(x),
        f64 => ceil64(x),
        else => @compileError("ceil not implemented for " ++ @typeName(T)),
    };
}

fn ceil32(x: f32) f32 {
    var u = @bitCast(u32, x);
    var e = i32((u >> 23) & 0xFF) - 0x7F;
    var m: u32 = undefined;

    // TODO: Shouldn't need this explicit check.
    if (x == 0.0) {
        return x;
    }

    if (e >= 23) {
        return x;
    } else if (e >= 0) {
        m = u32(0x007FFFFF) >> u5(e);
        if (u & m == 0) {
            return x;
        }
        math.forceEval(x + 0x1.0p120);
        if (u >> 31 == 0) {
            u += m;
        }
        u &= ~m;
        return @bitCast(f32, u);
    } else {
        math.forceEval(x + 0x1.0p120);
        if (u >> 31 != 0) {
            return -0.0;
        } else {
            return 1.0;
        }
    }
}

fn ceil64(x: f64) f64 {
    const u = @bitCast(u64, x);
    const e = (u >> 52) & 0x7FF;
    var y: f64 = undefined;

    if (e >= 0x3FF+52 or x == 0) {
        return x;
    }

    if (u >> 63 != 0) {
        @setFloatMode(this, builtin.FloatMode.Strict);
        y = x - math.f64_toint + math.f64_toint - x;
    } else {
        @setFloatMode(this, builtin.FloatMode.Strict);
        y = x + math.f64_toint - math.f64_toint - x;
    }

    if (e <= 0x3FF-1) {
        math.forceEval(y);
        if (u >> 63 != 0) {
            return -0.0;
        } else {
            return 1.0;
        }
    } else if (y < 0) {
        return x + y + 1;
    } else {
        return x + y;
    }
}

test "math.ceil" {
    assert(ceil(f32(0.0)) == ceil32(0.0));
    assert(ceil(f64(0.0)) == ceil64(0.0));
}

test "math.ceil32" {
    assert(ceil32(1.3) == 2.0);
    assert(ceil32(-1.3) == -1.0);
    assert(ceil32(0.2) == 1.0);
}

test "math.ceil64" {
    assert(ceil64(1.3) == 2.0);
    assert(ceil64(-1.3) == -1.0);
    assert(ceil64(0.2) == 1.0);
}

test "math.ceil32.special" {
    assert(ceil32(0.0) == 0.0);
    assert(ceil32(-0.0) == -0.0);
    assert(math.isPositiveInf(ceil32(math.inf(f32))));
    assert(math.isNegativeInf(ceil32(-math.inf(f32))));
    assert(math.isNan(ceil32(math.nan(f32))));
}

test "math.ceil64.special" {
    assert(ceil64(0.0) == 0.0);
    assert(ceil64(-0.0) == -0.0);
    assert(math.isPositiveInf(ceil64(math.inf(f64))));
    assert(math.isNegativeInf(ceil64(-math.inf(f64))));
    assert(math.isNan(ceil64(math.nan(f64))));
}