Add core:math/fixed

core/math/fixed/fixed.odin

@@ -0,0 +1,133 @@
+package math_fixed
+
+import "core:math"
+import "core:strconv"
+
+import "intrinsics"
+_ :: intrinsics;
+
+Fixed :: struct($Backing: typeid, Fraction_Width: uint)
+	where
+		intrinsics.type_is_integer(Backing),
+		0 <= Fraction_Width,
+		Fraction_Width <= 8*size_of(Backing) {
+	i: Backing,
+}
+
+Fixed4_4  :: distinct Fixed(i8, 4);
+Fixed5_3  :: distinct Fixed(i8, 3);
+Fixed6_2  :: distinct Fixed(i8, 2);
+Fixed7_1  :: distinct Fixed(i8, 1);
+
+Fixed8_8  :: distinct Fixed(i16, 8);
+Fixed13_3 :: distinct Fixed(i16, 3);
+
+Fixed16_16 :: distinct Fixed(i32, 16);
+Fixed26_6  :: distinct Fixed(i32,  6);
+
+Fixed32_32 :: distinct Fixed(i64, 32);
+Fixed52_12 :: distinct Fixed(i64, 12);
+
+
+init_from_f64 :: proc(x: ^$T/Fixed($Backing, $Fraction_Width), val: f64) {
+	i, f := math.modf(val);
+	x.i  = Backing(f * (1<<Fraction_Width));
+	x.i &= 1<<Fraction_Width - 1;
+	x.i |= Backing(i) << Fraction_Width;
+}
+
+
+init_from_parts :: proc(x: ^$T/Fixed($Backing, $Fraction_Width), integer, fraction: Backing) {
+	i, f := math.modf(val);
+	x.i  = fraction;
+	x.i &= 1<<Fraction_Width - 1;
+	x.i |= integer;
+}
+
+to_f64 :: proc(x: $T/Fixed($Backing, $Fraction_Width)) -> f64 {
+	res := f64(x.i >> Fraction_Width);
+	res += f64(x.i & (1<<Fraction_Width-1)) / f64(1<<Fraction_Width);
+	return res;
+}
+
+
+add :: proc(x, y: $T/Fixed) -> T {
+	return {x.i + y.i};
+}
+sub :: proc(x, y: $T/Fixed) -> T {
+	return {x.i - y.i};
+}
+
+mul :: proc(x, y: $T/Fixed($Backing, $Fraction_Width)) -> (z: T) {
+	z.i = intrinsics.fixed_point_mul(x.i, y.i, Fraction_Width);
+	return;
+}
+mul_sat :: proc(x, y: $T/Fixed($Backing, $Fraction_Width)) -> (z: T) {
+	z.i = intrinsics.fixed_point_mul_sat(x.i, y.i, Fraction_Width);
+	return;
+}
+
+div :: proc(x, y: $T/Fixed($Backing, $Fraction_Width)) -> (z: T) {
+	z.i = intrinsics.fixed_point_div(x.i, y.i, Fraction_Width);
+	return;
+}
+div_sat :: proc(x, y: $T/Fixed($Backing, $Fraction_Width)) -> (z: T) {
+	z.i = intrinsics.fixed_point_div_sat(x.i, y.i, Fraction_Width);
+	return;
+}
+
+
+floor :: proc(x: $T/Fixed($Backing, $Fraction_Width)) -> Backing {
+	return x.i >> Fraction_Width;
+}
+ceil :: proc(x: $T/Fixed($Backing, $Fraction_Width)) -> Backing {
+	Integer :: 8*size_of(Backing) - Fraction_Width;
+	return (x.i + (1 << Integer-1)) >> Fraction_Width;
+}
+round :: proc(x: $T/Fixed($Backing, $Fraction_Width)) -> Backing {
+	Integer :: 8*size_of(Backing) - Fraction_Width;
+	return (x.i + (1 << (Integer - 1))) >> Fraction_Width;
+}
+
+
+
+append :: proc(dst: []byte, x: $T/Fixed($Backing, $Fraction_Width)) -> string {
+	x := x;
+	buf: [48]byte;
+	i := 0;
+	if x.i < 0 {
+		buf[i] = '-';
+		i += 1;
+		x.i = -x.i;
+	}
+
+	integer := x.i >> Fraction_Width;
+	fraction := x.i & (1<<Fraction_Width - 1);
+
+	s := strconv.append_uint(buf[i:], u64(integer), 10);
+	i += len(s);
+	if fraction != 0 {
+		buf[i] = '.';
+		i += 1;
+		for fraction > 0 {
+			fraction *= 10;
+			buf[i] = byte('0' + (fraction>>Fraction_Width));
+			i += 1;
+			fraction &= 1<<Fraction_Width - 1;
+		}
+	}
+
+
+
+	n := copy(dst, buf[:i]);
+	return string(dst[:i]);
+}
+
+
+to_string :: proc(x: $T/Fixed($Backing, $Fraction_Width), allocator := context.allocator) -> string {
+	buf: [48]byte;
+	s := append(buf[:], x);
+	str := make([]byte, len(s), allocator);
+	copy(str, s);
+	return string(str);
+}