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// Special Cases:
//
// - round(+-0) = +-0
// - round(+-inf) = +-inf
// - round(nan) = nan
const builtin = @import("builtin");
const assert = std.debug.assert;
const std = @import("../index.zig");
const math = std.math;
pub fn round(x: var) @typeOf(x) {
const T = @typeOf(x);
return switch (T) {
f32 => round32(x),
f64 => round64(x),
else => @compileError("round not implemented for " ++ @typeName(T)),
};
}
fn round32(x_: f32) f32 {
var x = x_;
const u = @bitCast(u32, x);
const e = (u >> 23) & 0xFF;
var y: f32 = undefined;
if (e >= 0x7F+23) {
return x;
}
if (u >> 31 != 0) {
x = -x;
}
if (e < 0x7F-1) {
math.forceEval(x + math.f32_toint);
return 0 * @bitCast(f32, u);
}
{
@setFloatMode(this, builtin.FloatMode.Strict);
y = x + math.f32_toint - math.f32_toint - x;
}
if (y > 0.5) {
y = y + x - 1;
} else if (y <= -0.5) {
y = y + x + 1;
} else {
y = y + x;
}
if (u >> 31 != 0) {
return -y;
} else {
return y;
}
}
fn round64(x_: f64) f64 {
var x = x_;
const u = @bitCast(u64, x);
const e = (u >> 52) & 0x7FF;
var y: f64 = undefined;
if (e >= 0x3FF+52) {
return x;
}
if (u >> 63 != 0) {
x = -x;
}
if (e < 0x3ff-1) {
math.forceEval(x + math.f64_toint);
return 0 * @bitCast(f64, u);
}
{
@setFloatMode(this, builtin.FloatMode.Strict);
y = x + math.f64_toint - math.f64_toint - x;
}
if (y > 0.5) {
y = y + x - 1;
} else if (y <= -0.5) {
y = y + x + 1;
} else {
y = y + x;
}
if (u >> 63 != 0) {
return -y;
} else {
return y;
}
}
test "math.round" {
assert(round(f32(1.3)) == round32(1.3));
assert(round(f64(1.3)) == round64(1.3));
}
test "math.round32" {
assert(round32(1.3) == 1.0);
assert(round32(-1.3) == -1.0);
assert(round32(0.2) == 0.0);
assert(round32(1.8) == 2.0);
}
test "math.round64" {
assert(round64(1.3) == 1.0);
assert(round64(-1.3) == -1.0);
assert(round64(0.2) == 0.0);
assert(round64(1.8) == 2.0);
}
test "math.round32.special" {
assert(round32(0.0) == 0.0);
assert(round32(-0.0) == -0.0);
assert(math.isPositiveInf(round32(math.inf(f32))));
assert(math.isNegativeInf(round32(-math.inf(f32))));
assert(math.isNan(round32(math.nan(f32))));
}
test "math.round64.special" {
assert(round64(0.0) == 0.0);
assert(round64(-0.0) == -0.0);
assert(math.isPositiveInf(round64(math.inf(f64))));
assert(math.isNegativeInf(round64(-math.inf(f64))));
assert(math.isNan(round64(math.nan(f64))));
}
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