Add `f16` support to core:math/linalg

1 files changed, 810 insertions, 21 deletions

diff --git a/core/math/linalg/specific.odin b/core/math/linalg/specific.odin
index f7b255961..3aa3b67f7 100644
--- a/core/math/linalg/specific.odin
+++ b/core/math/linalg/specific.odin
@@ -2,9 +2,39 @@ package linalg
 
 import "core:math"
 
+F16_EPSILON :: 1e-3;
 F32_EPSILON :: 1e-7;
 F64_EPSILON :: 1e-15;
 
+Vector2f16 :: distinct [2]f16;
+Vector3f16 :: distinct [3]f16;
+Vector4f16 :: distinct [4]f16;
+
+Matrix1x1f16 :: distinct [1][1]f16;
+Matrix1x2f16 :: distinct [1][2]f16;
+Matrix1x3f16 :: distinct [1][3]f16;
+Matrix1x4f16 :: distinct [1][4]f16;
+
+Matrix2x1f16 :: distinct [2][1]f16;
+Matrix2x2f16 :: distinct [2][2]f16;
+Matrix2x3f16 :: distinct [2][3]f16;
+Matrix2x4f16 :: distinct [2][4]f16;
+
+Matrix3x1f16 :: distinct [3][1]f16;
+Matrix3x2f16 :: distinct [3][2]f16;
+Matrix3x3f16 :: distinct [3][3]f16;
+Matrix3x4f16 :: distinct [3][4]f16;
+
+Matrix4x1f16 :: distinct [4][1]f16;
+Matrix4x2f16 :: distinct [4][2]f16;
+Matrix4x3f16 :: distinct [4][3]f16;
+Matrix4x4f16 :: distinct [4][4]f16;
+
+Matrix1f16 :: Matrix1x1f16;
+Matrix2f16 :: Matrix2x2f16;
+Matrix3f16 :: Matrix3x3f16;
+Matrix4f16 :: Matrix4x4f16;
+
 Vector2f32 :: distinct [2]f32;
 Vector3f32 :: distinct [3]f32;
 Vector4f32 :: distinct [4]f32;
@@ -63,9 +93,15 @@ Matrix2f64 :: Matrix2x2f64;
 Matrix3f64 :: Matrix3x3f64;
 Matrix4f64 :: Matrix4x4f64;
 
+Quaternionf16 :: distinct quaternion64;
 Quaternionf32 :: distinct quaternion128;
 Quaternionf64 :: distinct quaternion256;
 
+MATRIX1F16_IDENTITY :: Matrix1f16{{1}};
+MATRIX2F16_IDENTITY :: Matrix2f16{{1, 0}, {0, 1}};
+MATRIX3F16_IDENTITY :: Matrix3f16{{1, 0, 0}, {0, 1, 0}, {0, 0, 1}};
+MATRIX4F16_IDENTITY :: Matrix4f16{{1, 0, 0, 0}, {0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}};
+
 MATRIX1F32_IDENTITY :: Matrix1f32{{1}};
 MATRIX2F32_IDENTITY :: Matrix2f32{{1, 0}, {0, 1}};
 MATRIX3F32_IDENTITY :: Matrix3f32{{1, 0, 0}, {0, 1, 0}, {0, 0, 1}};
@@ -76,9 +112,14 @@ MATRIX2F64_IDENTITY :: Matrix2f64{{1, 0}, {0, 1}};
 MATRIX3F64_IDENTITY :: Matrix3f64{{1, 0, 0}, {0, 1, 0}, {0, 0, 1}};
 MATRIX4F64_IDENTITY :: Matrix4f64{{1, 0, 0, 0}, {0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}};
 
+QUATERNIONF16_IDENTITY :: Quaternionf16(1);
 QUATERNIONF32_IDENTITY :: Quaternionf32(1);
 QUATERNIONF64_IDENTITY :: Quaternionf64(1);
 
+VECTOR3F16_X_AXIS :: Vector3f16{1, 0, 0};
+VECTOR3F16_Y_AXIS :: Vector3f16{0, 1, 0};
+VECTOR3F16_Z_AXIS :: Vector3f16{0, 0, 1};
+
 VECTOR3F32_X_AXIS :: Vector3f32{1, 0, 0};
 VECTOR3F32_Y_AXIS :: Vector3f32{0, 1, 0};
 VECTOR3F32_Z_AXIS :: Vector3f32{0, 0, 1};
@@ -118,7 +159,13 @@ orthogonal :: proc{vector2_orthogonal, vector3_orthogonal};
 
 
 
-
+vector4_srgb_to_linear_f16 :: proc(col: Vector4f16) -> Vector4f16 {
+	r := math.pow(col.x, 2.2);
+	g := math.pow(col.y, 2.2);
+	b := math.pow(col.z, 2.2);
+	a := col.w;
+	return {r, g, b, a};
+}
 vector4_srgb_to_linear_f32 :: proc(col: Vector4f32) -> Vector4f32 {
 	r := math.pow(col.x, 2.2);
 	g := math.pow(col.y, 2.2);
@@ -134,11 +181,33 @@ vector4_srgb_to_linear_f64 :: proc(col: Vector4f64) -> Vector4f64 {
 	return {r, g, b, a};
 }
 vector4_srgb_to_linear :: proc{
+	vector4_srgb_to_linear_f16,
 	vector4_srgb_to_linear_f32,
 	vector4_srgb_to_linear_f64,
 };
 
 
+vector4_linear_to_srgb_f16 :: proc(col: Vector4f16) -> Vector4f16 {
+	a :: 2.51;
+	b :: 0.03;
+	c :: 2.43;
+	d :: 0.59;
+	e :: 0.14;
+
+	x := col.x;
+	y := col.y;
+	z := col.z;
+
+	x = (x * (a * x + b)) / (x * (c * x + d) + e);
+	y = (y * (a * y + b)) / (y * (c * y + d) + e);
+	z = (z * (a * z + b)) / (z * (c * z + d) + e);
+
+	x = math.pow(clamp(x, 0, 1), 1.0 / 2.2);
+	y = math.pow(clamp(y, 0, 1), 1.0 / 2.2);
+	z = math.pow(clamp(z, 0, 1), 1.0 / 2.2);
+
+	return {x, y, z, col.w};
+}
 vector4_linear_to_srgb_f32 :: proc(col: Vector4f32) -> Vector4f32 {
 	a :: 2.51;
 	b :: 0.03;
@@ -182,12 +251,39 @@ vector4_linear_to_srgb_f64 :: proc(col: Vector4f64) -> Vector4f64 {
 	return {x, y, z, col.w};
 }
 vector4_linear_to_srgb :: proc{
+	vector4_linear_to_srgb_f16,
 	vector4_linear_to_srgb_f32,
 	vector4_linear_to_srgb_f64,
 };
 
 
+vector4_hsl_to_rgb_f16 :: proc(h, s, l: f16, a: f16 = 1) -> Vector4f16 {
+	hue_to_rgb :: proc(p, q, t: f16) -> f16 {
+		t := t;
+		if t < 0 { t += 1; }
+		if t > 1 { t -= 1; }
+		switch {
+		case t < 1.0/6.0: return p + (q - p) * 6.0 * t;
+		case t < 1.0/2.0: return q;
+		case t < 2.0/3.0: return p + (q - p) * 6.0 * (2.0/3.0 - t);
+		}
+		return p;
+	}
 
+	r, g, b: f16;
+	if s == 0 {
+		r = l;
+		g = l;
+		b = l;
+	} else {
+		q := l * (1+s) if l < 0.5 else l+s - l*s;
+		p := 2*l - q;
+		r = hue_to_rgb(p, q, h + 1.0/3.0);
+		g = hue_to_rgb(p, q, h);
+		b = hue_to_rgb(p, q, h - 1.0/3.0);
+	}
+	return {r, g, b, a};
+}
 vector4_hsl_to_rgb_f32 :: proc(h, s, l: f32, a: f32 = 1) -> Vector4f32 {
 	hue_to_rgb :: proc(p, q, t: f32) -> f32 {
 		t := t;
@@ -243,11 +339,41 @@ vector4_hsl_to_rgb_f64 :: proc(h, s, l: f64, a: f64 = 1) -> Vector4f64 {
 	return {r, g, b, a};
 }
 vector4_hsl_to_rgb :: proc{
+	vector4_hsl_to_rgb_f16,
 	vector4_hsl_to_rgb_f32,
 	vector4_hsl_to_rgb_f64,
 };
 
 
+vector4_rgb_to_hsl_f16 :: proc(col: Vector4f16) -> Vector4f16 {
+	r := col.x;
+	g := col.y;
+	b := col.z;
+	a := col.w;
+	v_min := min(r, g, b);
+	v_max := max(r, g, b);
+	h, s, l: f16;
+	h  = 0.0;
+	s  = 0.0;
+	l  = (v_min + v_max) * 0.5;
+
+	if v_max != v_min {
+		d: = v_max - v_min;
+		s = d / (2.0 - v_max - v_min) if l > 0.5 else d / (v_max + v_min);
+		switch {
+		case v_max == r:
+			h = (g - b) / d + (6.0 if g < b else 0.0);
+		case v_max == g:
+			h = (b - r) / d + 2.0;
+		case v_max == b:
+			h = (r - g) / d + 4.0;
+		}
+
+		h *= 1.0/6.0;
+	}
+
+	return {h, s, l, a};
+}
 vector4_rgb_to_hsl_f32 :: proc(col: Vector4f32) -> Vector4f32 {
 	r := col.x;
 	g := col.y;
@@ -277,7 +403,6 @@ vector4_rgb_to_hsl_f32 :: proc(col: Vector4f32) -> Vector4f32 {
 
 	return {h, s, l, a};
 }
-
 vector4_rgb_to_hsl_f64 :: proc(col: Vector4f64) -> Vector4f64 {
 	r := col.x;
 	g := col.y;
@@ -308,12 +433,22 @@ vector4_rgb_to_hsl_f64 :: proc(col: Vector4f64) -> Vector4f64 {
 	return {h, s, l, a};
 }
 vector4_rgb_to_hsl :: proc{
+	vector4_rgb_to_hsl_f16,
 	vector4_rgb_to_hsl_f32,
 	vector4_rgb_to_hsl_f64,
 };
 
 
 
+quaternion_angle_axis_f16 :: proc(angle_radians: f16, axis: Vector3f16) -> (q: Quaternionf16) {
+	t := angle_radians*0.5;
+	v := normalize(axis) * math.sin(t);
+	q.x = v.x;
+	q.y = v.y;
+	q.z = v.z;
+	q.w = math.cos(t);
+	return;
+}
 quaternion_angle_axis_f32 :: proc(angle_radians: f32, axis: Vector3f32) -> (q: Quaternionf32) {
 	t := angle_radians*0.5;
 	v := normalize(axis) * math.sin(t);
@@ -333,11 +468,18 @@ quaternion_angle_axis_f64 :: proc(angle_radians: f64, axis: Vector3f64) -> (q: Q
 	return;
 }
 quaternion_angle_axis :: proc{
+	quaternion_angle_axis_f16,
 	quaternion_angle_axis_f32,
 	quaternion_angle_axis_f64,
 };
 
+angle_from_quaternion_f16 :: proc(q: Quaternionf16) -> f16 {
+	if abs(q.w) > math.SQRT_THREE*0.5 {
+		return math.asin(q.x*q.x + q.y*q.y + q.z*q.z) * 2;
+	}
 
+	return math.cos(q.x) * 2;
+}
 angle_from_quaternion_f32 :: proc(q: Quaternionf32) -> f32 {
 	if abs(q.w) > math.SQRT_THREE*0.5 {
 		return math.asin(q.x*q.x + q.y*q.y + q.z*q.z) * 2;
@@ -353,11 +495,19 @@ angle_from_quaternion_f64 :: proc(q: Quaternionf64) -> f64 {
 	return math.cos(q.x) * 2;
 }
 angle_from_quaternion :: proc{
+	angle_from_quaternion_f16,
 	angle_from_quaternion_f32,
 	angle_from_quaternion_f64,
 };
 
-
+axis_from_quaternion_f16 :: proc(q: Quaternionf16) -> Vector3f16 {
+	t1 := 1 - q.w*q.w;
+	if t1 < 0 {
+		return {0, 0, 1};
+	}
+	t2 := 1.0 / math.sqrt(t1);
+	return {q.x*t2, q.y*t2, q.z*t2};
+}
 axis_from_quaternion_f32 :: proc(q: Quaternionf32) -> Vector3f32 {
 	t1 := 1 - q.w*q.w;
 	if t1 < 0 {
@@ -375,11 +525,17 @@ axis_from_quaternion_f64 :: proc(q: Quaternionf64) -> Vector3f64 {
 	return {q.x*t2, q.y*t2, q.z*t2};
 }
 axis_from_quaternion :: proc{
+	axis_from_quaternion_f16,
 	axis_from_quaternion_f32,
 	axis_from_quaternion_f64,
 };
 
 
+angle_axis_from_quaternion_f16 :: proc(q: Quaternionf16) -> (angle: f16, axis: Vector3f16) {
+	angle = angle_from_quaternion(q);
+	axis  = axis_from_quaternion(q);
+	return;
+}
 angle_axis_from_quaternion_f32 :: proc(q: Quaternionf32) -> (angle: f32, axis: Vector3f32) {
 	angle = angle_from_quaternion(q);
 	axis  = axis_from_quaternion(q);
@@ -391,11 +547,55 @@ angle_axis_from_quaternion_f64 :: proc(q: Quaternionf64) -> (angle: f64, axis: V
 	return;
 }
 angle_axis_from_quaternion :: proc {
+	angle_axis_from_quaternion_f16,
 	angle_axis_from_quaternion_f32,
 	angle_axis_from_quaternion_f64,
 };
 
 
+quaternion_from_forward_and_up_f16 :: proc(forward, up: Vector3f16) -> Quaternionf16 {
+	f := normalize(forward);
+	s := normalize(cross(f, up));
+	u := cross(s, f);
+	m := Matrix3f16{
+		{+s.x, +u.x, -f.x},
+		{+s.y, +u.y, -f.y},
+		{+s.z, +u.z, -f.z},
+	};
+
+	tr := trace(m);
+
+	q: Quaternionf16;
+
+	switch {
+	case tr > 0:
+		S := 2 * math.sqrt(1 + tr);
+		q.w = 0.25 * S;
+		q.x = (m[2][1] - m[1][2]) / S;
+		q.y = (m[0][2] - m[2][0]) / S;
+		q.z = (m[1][0] - m[0][1]) / S;
+	case (m[0][0] > m[1][1]) && (m[0][0] > m[2][2]):
+		S := 2 * math.sqrt(1 + m[0][0] - m[1][1] - m[2][2]);
+		q.w = (m[2][1] - m[1][2]) / S;
+		q.x = 0.25 * S;
+		q.y = (m[0][1] + m[1][0]) / S;
+		q.z = (m[0][2] + m[2][0]) / S;
+	case m[1][1] > m[2][2]:
+		S := 2 * math.sqrt(1 + m[1][1] - m[0][0] - m[2][2]);
+		q.w = (m[0][2] - m[2][0]) / S;
+		q.x = (m[0][1] + m[1][0]) / S;
+		q.y = 0.25 * S;
+		q.z = (m[1][2] + m[2][1]) / S;
+	case:
+		S := 2 * math.sqrt(1 + m[2][2] - m[0][0] - m[1][1]);
+		q.w = (m[1][0] - m[0][1]) / S;
+		q.x = (m[0][2] - m[2][0]) / S;
+		q.y = (m[1][2] + m[2][1]) / S;
+		q.z = 0.25 * S;
+	}
+
+	return normalize(q);
+}
 quaternion_from_forward_and_up_f32 :: proc(forward, up: Vector3f32) -> Quaternionf32 {
 	f := normalize(forward);
 	s := normalize(cross(f, up));
@@ -483,11 +683,14 @@ quaternion_from_forward_and_up_f64 :: proc(forward, up: Vector3f64) -> Quaternio
 	return normalize(q);
 }
 quaternion_from_forward_and_up :: proc{
+	quaternion_from_forward_and_up_f16,
 	quaternion_from_forward_and_up_f32,
 	quaternion_from_forward_and_up_f64,
 };
 
-
+quaternion_look_at_f16 :: proc(eye, centre: Vector3f16, up: Vector3f16) -> Quaternionf16 {
+	return quaternion_from_matrix3(matrix3_look_at(eye, centre, up));
+}
 quaternion_look_at_f32 :: proc(eye, centre: Vector3f32, up: Vector3f32) -> Quaternionf32 {
 	return quaternion_from_matrix3(matrix3_look_at(eye, centre, up));
 }
@@ -495,13 +698,20 @@ quaternion_look_at_f64 :: proc(eye, centre: Vector3f64, up: Vector3f64) -> Quate
 	return quaternion_from_matrix3(matrix3_look_at(eye, centre, up));
 }
 quaternion_look_at :: proc{
+	quaternion_look_at_f16,
 	quaternion_look_at_f32,
 	quaternion_look_at_f64,
 };
 
 
 
-quaternion_nlerp_f32 :: proc(a, b: Quaternionf32, t: f32) -> (c: Quaternionf32) {
+quaternion_nlerp_f16 :: proc(a, b: Quaternionf16, t: f16) -> (c: Quaternionf16) {
+	c.x = a.x + (b.x-a.x)*t;
+	c.y = a.y + (b.y-a.y)*t;
+	c.z = a.z + (b.z-a.z)*t;
+	c.w = a.w + (b.w-a.w)*t;
+	return normalize(c);
+}quaternion_nlerp_f32 :: proc(a, b: Quaternionf32, t: f32) -> (c: Quaternionf32) {
 	c.x = a.x + (b.x-a.x)*t;
 	c.y = a.y + (b.y-a.y)*t;
 	c.z = a.z + (b.z-a.z)*t;
@@ -516,12 +726,39 @@ quaternion_nlerp_f64 :: proc(a, b: Quaternionf64, t: f64) -> (c: Quaternionf64)
 	return normalize(c);
 }
 quaternion_nlerp :: proc{
+	quaternion_nlerp_f16,
 	quaternion_nlerp_f32,
 	quaternion_nlerp_f64,
 };
 
 
-quaternion_slerp_f32 :: proc(x, y: Quaternionf32, t: f32) -> (q: Quaternionf32) {
+quaternion_slerp_f16 :: proc(x, y: Quaternionf16, t: f16) -> (q: Quaternionf16) {
+	a, b := x, y;
+	cos_angle := dot(a, b);
+	if cos_angle < 0 {
+		b = -b;
+		cos_angle = -cos_angle;
+	}
+	if cos_angle > 1 - F32_EPSILON {
+		q.x = a.x + (b.x-a.x)*t;
+		q.y = a.y + (b.y-a.y)*t;
+		q.z = a.z + (b.z-a.z)*t;
+		q.w = a.w + (b.w-a.w)*t;
+		return;
+	}
+
+	angle := math.acos(cos_angle);
+	sin_angle := math.sin(angle);
+	factor_a := math.sin((1-t) * angle) / sin_angle;
+	factor_b := math.sin(t * angle)     / sin_angle;
+
+
+	q.x = factor_a * a.x + factor_b * b.x;
+	q.y = factor_a * a.y + factor_b * b.y;
+	q.z = factor_a * a.z + factor_b * b.z;
+	q.w = factor_a * a.w + factor_b * b.w;
+	return;
+}quaternion_slerp_f32 :: proc(x, y: Quaternionf32, t: f32) -> (q: Quaternionf32) {
 	a, b := x, y;
 	cos_angle := dot(a, b);
 	if cos_angle < 0 {
@@ -576,11 +813,16 @@ quaternion_slerp_f64 :: proc(x, y: Quaternionf64, t: f64) -> (q: Quaternionf64)
 	return;
 }
 quaternion_slerp :: proc{
+	quaternion_slerp_f16,
 	quaternion_slerp_f32,
 	quaternion_slerp_f64,
 };
 
 
+quaternion_squad_f16 :: proc(q1, q2, s1, s2: Quaternionf16, h: f16) -> Quaternionf16 {
+	slerp :: quaternion_slerp;
+	return slerp(slerp(q1, q2, h), slerp(s1, s2, h), 2 * (1 - h) * h);
+}
 quaternion_squad_f32 :: proc(q1, q2, s1, s2: Quaternionf32, h: f32) -> Quaternionf32 {
 	slerp :: quaternion_slerp;
 	return slerp(slerp(q1, q2, h), slerp(s1, s2, h), 2 * (1 - h) * h);
@@ -590,11 +832,19 @@ quaternion_squad_f64 :: proc(q1, q2, s1, s2: Quaternionf64, h: f64) -> Quaternio
 	return slerp(slerp(q1, q2, h), slerp(s1, s2, h), 2 * (1 - h) * h);
 }
 quaternion_squad :: proc{
+	quaternion_squad_f16,
 	quaternion_squad_f32,
 	quaternion_squad_f64,
 };
 
 
+quaternion_from_matrix4_f16 :: proc(m: Matrix4f16) -> (q: Quaternionf16) {
+	m3: Matrix3f16 = ---;
+	m3[0][0], m3[0][1], m3[0][2] = m[0][0], m[0][1], m[0][2];
+	m3[1][0], m3[1][1], m3[1][2] = m[1][0], m[1][1], m[1][2];
+	m3[2][0], m3[2][1], m3[2][2] = m[2][0], m[2][1], m[2][2];
+	return quaternion_from_matrix3(m3);
+}
 quaternion_from_matrix4_f32 :: proc(m: Matrix4f32) -> (q: Quaternionf32) {
 	m3: Matrix3f32 = ---;
 	m3[0][0], m3[0][1], m3[0][2] = m[0][0], m[0][1], m[0][2];
@@ -610,11 +860,61 @@ quaternion_from_matrix4_f64 :: proc(m: Matrix4f64) -> (q: Quaternionf64) {
 	return quaternion_from_matrix3(m3);
 }
 quaternion_from_matrix4 :: proc{
+	quaternion_from_matrix4_f16,
 	quaternion_from_matrix4_f32,
 	quaternion_from_matrix4_f64,
 };
 
 
+quaternion_from_matrix3_f16 :: proc(m: Matrix3f16) -> (q: Quaternionf16) {
+	four_x_squared_minus_1 := m[0][0] - m[1][1] - m[2][2];
+	four_y_squared_minus_1 := m[1][1] - m[0][0] - m[2][2];
+	four_z_squared_minus_1 := m[2][2] - m[0][0] - m[1][1];
+	four_w_squared_minus_1 := m[0][0] + m[1][1] + m[2][2];
+
+	biggest_index := 0;
+	four_biggest_squared_minus_1 := four_w_squared_minus_1;
+	if four_x_squared_minus_1 > four_biggest_squared_minus_1 {
+		four_biggest_squared_minus_1 = four_x_squared_minus_1;
+		biggest_index = 1;
+	}
+	if four_y_squared_minus_1 > four_biggest_squared_minus_1 {
+		four_biggest_squared_minus_1 = four_y_squared_minus_1;
+		biggest_index = 2;
+	}
+	if four_z_squared_minus_1 > four_biggest_squared_minus_1 {
+		four_biggest_squared_minus_1 = four_z_squared_minus_1;
+		biggest_index = 3;
+	}
+
+	biggest_val := math.sqrt(four_biggest_squared_minus_1 + 1) * 0.5;
+	mult := 0.25 / biggest_val;
+
+	q = 1;
+	switch biggest_index {
+	case 0:
+		q.w = biggest_val;
+		q.x = (m[1][2] - m[2][1]) * mult;
+		q.y = (m[2][0] - m[0][2]) * mult;
+		q.z = (m[0][1] - m[1][0]) * mult;
+	case 1:
+		q.w = (m[1][2] - m[2][1]) * mult;
+		q.x = biggest_val;
+		q.y = (m[0][1] + m[1][0]) * mult;
+		q.z = (m[2][0] + m[0][2]) * mult;
+	case 2:
+		q.w = (m[2][0] - m[0][2]) * mult;
+		q.x = (m[0][1] + m[1][0]) * mult;
+		q.y = biggest_val;
+		q.z = (m[1][2] + m[2][1]) * mult;
+	case 3:
+		q.w = (m[0][1] - m[1][0]) * mult;
+		q.x = (m[2][0] + m[0][2]) * mult;
+		q.y = (m[1][2] + m[2][1]) * mult;
+		q.z = biggest_val;
+	}
+	return;
+}
 quaternion_from_matrix3_f32 :: proc(m: Matrix3f32) -> (q: Quaternionf32) {
 	four_x_squared_minus_1 := m[0][0] - m[1][1] - m[2][2];
 	four_y_squared_minus_1 := m[1][1] - m[0][0] - m[2][2];
@@ -714,11 +1014,33 @@ quaternion_from_matrix3_f64 :: proc(m: Matrix3f64) -> (q: Quaternionf64) {
 	return;
 }
 quaternion_from_matrix3 :: proc{
+	quaternion_from_matrix3_f16,
 	quaternion_from_matrix3_f32,
 	quaternion_from_matrix3_f64,
 };
 
 
+quaternion_between_two_vector3_f16 :: proc(from, to: Vector3f16) -> (q: Quaternionf16) {
+	x := normalize(from);
+	y := normalize(to);
+
+	cos_theta := dot(x, y);
+	if abs(cos_theta + 1) < 2*F32_EPSILON {
+		v := vector3_orthogonal(x);
+		q.x = v.x;
+		q.y = v.y;
+		q.z = v.z;
+		q.w = 0;
+		return;
+	}
+	v := cross(x, y);
+	w := cos_theta + 1;
+	q.w = w;
+	q.x = v.x;
+	q.y = v.y;
+	q.z = v.z;
+	return normalize(q);
+}
 quaternion_between_two_vector3_f32 :: proc(from, to: Vector3f32) -> (q: Quaternionf32) {
 	x := normalize(from);
 	y := normalize(to);
@@ -762,11 +1084,21 @@ quaternion_between_two_vector3_f64 :: proc(from, to: Vector3f64) -> (q: Quaterni
 	return normalize(q);
 }
 quaternion_between_two_vector3 :: proc{
+	quaternion_between_two_vector3_f16,
 	quaternion_between_two_vector3_f32,
 	quaternion_between_two_vector3_f64,
 };
 
 
+matrix2_inverse_transpose_f16 :: proc(m: Matrix2f16) -> (c: Matrix2f16) {
+	d := m[0][0]*m[1][1] - m[1][0]*m[0][1];
+	id := 1.0/d;
+	c[0][0] = +m[1][1] * id;
+	c[0][1] = -m[0][1] * id;
+	c[1][0] = -m[1][0] * id;
+	c[1][1] = +m[0][0] * id;
+	return c;
+}
 matrix2_inverse_transpose_f32 :: proc(m: Matrix2f32) -> (c: Matrix2f32) {
 	d := m[0][0]*m[1][1] - m[1][0]*m[0][1];
 	id := 1.0/d;
@@ -786,11 +1118,15 @@ matrix2_inverse_transpose_f64 :: proc(m: Matrix2f64) -> (c: Matrix2f64) {
 	return c;
 }
 matrix2_inverse_transpose :: proc{
+	matrix2_inverse_transpose_f16,
 	matrix2_inverse_transpose_f32,
 	matrix2_inverse_transpose_f64,
 };
 
 
+matrix2_determinant_f16 :: proc(m: Matrix2f16) -> f16 {
+	return m[0][0]*m[1][1] - m[1][0]*m[0][1];
+}
 matrix2_determinant_f32 :: proc(m: Matrix2f32) -> f32 {
 	return m[0][0]*m[1][1] - m[1][0]*m[0][1];
 }
@@ -798,11 +1134,21 @@ matrix2_determinant_f64 :: proc(m: Matrix2f64) -> f64 {
 	return m[0][0]*m[1][1] - m[1][0]*m[0][1];
 }
 matrix2_determinant :: proc{
+	matrix2_determinant_f16,
 	matrix2_determinant_f32,
 	matrix2_determinant_f64,
 };
 
 
+matrix2_inverse_f16 :: proc(m: Matrix2f16) -> (c: Matrix2f16) {
+	d := m[0][0]*m[1][1] - m[1][0]*m[0][1];
+	id := 1.0/d;
+	c[0][0] = +m[1][1] * id;
+	c[1][0] = -m[0][1] * id;
+	c[0][1] = -m[1][0] * id;
+	c[1][1] = +m[0][0] * id;
+	return c;
+}
 matrix2_inverse_f32 :: proc(m: Matrix2f32) -> (c: Matrix2f32) {
 	d := m[0][0]*m[1][1] - m[1][0]*m[0][1];
 	id := 1.0/d;
@@ -822,11 +1168,19 @@ matrix2_inverse_f64 :: proc(m: Matrix2f64) -> (c: Matrix2f64) {
 	return c;
 }
 matrix2_inverse :: proc{
+	matrix2_inverse_f16,
 	matrix2_inverse_f32,
 	matrix2_inverse_f64,
 };
 
 
+matrix2_adjoint_f16 :: proc(m: Matrix2f16) -> (c: Matrix2f16) {
+	c[0][0] = +m[1][1];
+	c[0][1] = -m[1][0];
+	c[1][0] = -m[0][1];
+	c[1][1] = +m[0][0];
+	return c;
+}
 matrix2_adjoint_f32 :: proc(m: Matrix2f32) -> (c: Matrix2f32) {
 	c[0][0] = +m[1][1];
 	c[0][1] = -m[1][0];
@@ -842,11 +1196,36 @@ matrix2_adjoint_f64 :: proc(m: Matrix2f64) -> (c: Matrix2f64) {
 	return c;
 }
 matrix2_adjoint :: proc{
+	matrix2_adjoint_f16,
 	matrix2_adjoint_f32,
 	matrix2_adjoint_f64,
 };
 
 
+matrix3_from_quaternion_f16 :: proc(q: Quaternionf16) -> (m: Matrix3f16) {
+	qxx := q.x * q.x;
+	qyy := q.y * q.y;
+	qzz := q.z * q.z;
+	qxz := q.x * q.z;
+	qxy := q.x * q.y;
+	qyz := q.y * q.z;
+	qwx := q.w * q.x;
+	qwy := q.w * q.y;
+	qwz := q.w * q.z;
+
+	m[0][0] = 1 - 2 * (qyy + qzz);
+	m[0][1] = 2 * (qxy + qwz);
+	m[0][2] = 2 * (qxz - qwy);
+
+	m[1][0] = 2 * (qxy - qwz);
+	m[1][1] = 1 - 2 * (qxx + qzz);
+	m[1][2] = 2 * (qyz + qwx);
+
+	m[2][0] = 2 * (qxz + qwy);
+	m[2][1] = 2 * (qyz - qwx);
+	m[2][2] = 1 - 2 * (qxx + qyy);
+	return m;
+}
 matrix3_from_quaternion_f32 :: proc(q: Quaternionf32) -> (m: Matrix3f32) {
 	qxx := q.x * q.x;
 	qyy := q.y * q.y;
@@ -896,11 +1275,15 @@ matrix3_from_quaternion_f64 :: proc(q: Quaternionf64) -> (m: Matrix3f64) {
 	return m;
 }
 matrix3_from_quaternion :: proc{
+	matrix3_from_quaternion_f16,
 	matrix3_from_quaternion_f32,
 	matrix3_from_quaternion_f64,
 };
 
 
+matrix3_inverse_f16 :: proc(m: Matrix3f16) -> Matrix3f16 {
+	return transpose(matrix3_inverse_transpose(m));
+}
 matrix3_inverse_f32 :: proc(m: Matrix3f32) -> Matrix3f32 {
 	return transpose(matrix3_inverse_transpose(m));
 }
@@ -908,11 +1291,18 @@ matrix3_inverse_f64 :: proc(m: Matrix3f64) -> Matrix3f64 {
 	return transpose(matrix3_inverse_transpose(m));
 }
 matrix3_inverse :: proc{
+	matrix3_inverse_f16,
 	matrix3_inverse_f32,
 	matrix3_inverse_f64,
 };
 
 
+matrix3_determinant_f16 :: proc(m: Matrix3f16) -> f16 {
+	a := +m[0][0] * (m[1][1] * m[2][2] - m[2][1] * m[1][2]);
+	b := -m[1][0] * (m[0][1] * m[2][2] - m[2][1] * m[0][2]);
+	c := +m[2][0] * (m[0][1] * m[1][2] - m[1][1] * m[0][2]);
+	return a + b + c;
+}
 matrix3_determinant_f32 :: proc(m: Matrix3f32) -> f32 {
 	a := +m[0][0] * (m[1][1] * m[2][2] - m[2][1] * m[1][2]);
 	b := -m[1][0] * (m[0][1] * m[2][2] - m[2][1] * m[0][2]);
@@ -926,11 +1316,24 @@ matrix3_determinant_f64 :: proc(m: Matrix3f64) -> f64 {
 	return a + b + c;
 }
 matrix3_determinant :: proc{
+	matrix3_determinant_f16,
 	matrix3_determinant_f32,
 	matrix3_determinant_f64,
 };
 
 
+matrix3_adjoint_f16 :: proc(m: Matrix3f16) -> (adjoint: Matrix3f16) {
+	adjoint[0][0] = +(m[1][1] * m[2][2] - m[1][2] * m[2][1]);
+	adjoint[1][0] = -(m[0][1] * m[2][2] - m[0][2] * m[2][1]);
+	adjoint[2][0] = +(m[0][1] * m[1][2] - m[0][2] * m[1][1]);
+	adjoint[0][1] = -(m[1][0] * m[2][2] - m[1][2] * m[2][0]);
+	adjoint[1][1] = +(m[0][0] * m[2][2] - m[0][2] * m[2][0]);
+	adjoint[2][1] = -(m[0][0] * m[1][2] - m[0][2] * m[1][0]);
+	adjoint[0][2] = +(m[1][0] * m[2][1] - m[1][1] * m[2][0]);
+	adjoint[1][2] = -(m[0][0] * m[2][1] - m[0][1] * m[2][0]);
+	adjoint[2][2] = +(m[0][0] * m[1][1] - m[0][1] * m[1][0]);
+	return adjoint;
+}
 matrix3_adjoint_f32 :: proc(m: Matrix3f32) -> (adjoint: Matrix3f32) {
 	adjoint[0][0] = +(m[1][1] * m[2][2] - m[1][2] * m[2][1]);
 	adjoint[1][0] = -(m[0][1] * m[2][2] - m[0][2] * m[2][1]);
@@ -956,11 +1359,24 @@ matrix3_adjoint_f64 :: proc(m: Matrix3f64) -> (adjoint: Matrix3f64) {
 	return adjoint;
 }
 matrix3_adjoint :: proc{
+	matrix3_adjoint_f16,
 	matrix3_adjoint_f32,
 	matrix3_adjoint_f64,
 };
 
 
+
+matrix3_inverse_transpose_f16 :: proc(m: Matrix3f16) -> (inverse_transpose: Matrix3f16) {
+	adjoint := matrix3_adjoint(m);
+	determinant := matrix3_determinant(m);
+	inv_determinant := 1.0 / determinant;
+	for i in 0..<3 {
+		for j in 0..<3 {
+			inverse_transpose[i][j] = adjoint[i][j] * inv_determinant;
+		}
+	}
+	return;
+}
 matrix3_inverse_transpose_f32 :: proc(m: Matrix3f32) -> (inverse_transpose: Matrix3f32) {
 	adjoint := matrix3_adjoint(m);
 	determinant := matrix3_determinant(m);
@@ -984,11 +1400,18 @@ matrix3_inverse_transpose_f64 :: proc(m: Matrix3f64) -> (inverse_transpose: Matr
 	return;
 }
 matrix3_inverse_transpose :: proc{
+	matrix3_inverse_transpose_f16,
 	matrix3_inverse_transpose_f32,
 	matrix3_inverse_transpose_f64,
 };
 
 
+matrix3_scale_f16 :: proc(s: Vector3f16) -> (m: Matrix3f16) {
+	m[0][0] = s[0];
+	m[1][1] = s[1];
+	m[2][2] = s[2];
+	return m;
+}
 matrix3_scale_f32 :: proc(s: Vector3f32) -> (m: Matrix3f32) {
 	m[0][0] = s[0];
 	m[1][1] = s[1];
@@ -1002,11 +1425,33 @@ matrix3_scale_f64 :: proc(s: Vector3f64) -> (m: Matrix3f64) {
 	return m;
 }
 matrix3_scale :: proc{
+	matrix3_scale_f16,
 	matrix3_scale_f32,
 	matrix3_scale_f64,
 };
 
 
+matrix3_rotate_f16 :: proc(angle_radians: f16, v: Vector3f16) -> (rot: Matrix3f16) {
+	c := math.cos(angle_radians);
+	s := math.sin(angle_radians);
+
+	a := normalize(v);
+	t := a * (1-c);
+
+	rot[0][0] = c + t[0]*a[0];
+	rot[0][1] = 0 + t[0]*a[1] + s*a[2];
+	rot[0][2] = 0 + t[0]*a[2] - s*a[1];
+
+	rot[1][0] = 0 + t[1]*a[0] - s*a[2];
+	rot[1][1] = c + t[1]*a[1];
+	rot[1][2] = 0 + t[1]*a[2] + s*a[0];
+
+	rot[2][0] = 0 + t[2]*a[0] + s*a[1];
+	rot[2][1] = 0 + t[2]*a[1] - s*a[0];
+	rot[2][2] = c + t[2]*a[2];
+
+	return rot;
+}
 matrix3_rotate_f32 :: proc(angle_radians: f32, v: Vector3f32) -> (rot: Matrix3f32) {
 	c := math.cos(angle_radians);
 	s := math.sin(angle_radians);
@@ -1050,11 +1495,22 @@ matrix3_rotate_f64 :: proc(angle_radians: f64, v: Vector3f64) -> (rot: Matrix3f6
 	return rot;
 }
 matrix3_rotate :: proc{
+	matrix3_rotate_f16,
 	matrix3_rotate_f32,
 	matrix3_rotate_f64,
 };
 
 
+matrix3_look_at_f16 :: proc(eye, centre, up: Vector3f16) -> Matrix3f16 {
+	f := normalize(centre - eye);
+	s := normalize(cross(f, up));
+	u := cross(s, f);
+	return Matrix3f16{
+		{+s.x, +u.x, -f.x},
+		{+s.y, +u.y, -f.y},
+		{+s.z, +u.z, -f.z},
+	};
+}
 matrix3_look_at_f32 :: proc(eye, centre, up: Vector3f32) -> Matrix3f32 {
 	f := normalize(centre - eye);
 	s := normalize(cross(f, up));
@@ -1076,11 +1532,39 @@ matrix3_look_at_f64 :: proc(eye, centre, up: Vector3f64) -> Matrix3f64 {
 	};
 }
 matrix3_look_at :: proc{
+	matrix3_look_at_f16,
 	matrix3_look_at_f32,
 	matrix3_look_at_f64,
 };
 
 
+matrix4_from_quaternion_f16 :: proc(q: Quaternionf16) -> (m: Matrix4f16) {
+	qxx := q.x * q.x;
+	qyy := q.y * q.y;
+	qzz := q.z * q.z;
+	qxz := q.x * q.z;
+	qxy := q.x * q.y;
+	qyz := q.y * q.z;
+	qwx := q.w * q.x;
+	qwy := q.w * q.y;
+	qwz := q.w * q.z;
+
+	m[0][0] = 1 - 2 * (qyy + qzz);
+	m[0][1] = 2 * (qxy + qwz);
+	m[0][2] = 2 * (qxz - qwy);
+
+	m[1][0] = 2 * (qxy - qwz);
+	m[1][1] = 1 - 2 * (qxx + qzz);
+	m[1][2] = 2 * (qyz + qwx);
+
+	m[2][0] = 2 * (qxz + qwy);
+	m[2][1] = 2 * (qyz - qwx);
+	m[2][2] = 1 - 2 * (qxx + qyy);
+
+	m[3][3] = 1;
+
+	return m;
+}
 matrix4_from_quaternion_f32 :: proc(q: Quaternionf32) -> (m: Matrix4f32) {
 	qxx := q.x * q.x;
 	qyy := q.y * q.y;
@@ -1136,11 +1620,18 @@ matrix4_from_quaternion_f64 :: proc(q: Quaternionf64) -> (m: Matrix4f64) {
 	return m;
 }
 matrix4_from_quaternion :: proc{
+	matrix4_from_quaternion_f16,
 	matrix4_from_quaternion_f32,
 	matrix4_from_quaternion_f64,
 };
 
 
+matrix4_from_trs_f16 :: proc(t: Vector3f16, r: Quaternionf16, s: Vector3f16) -> Matrix4f16 {
+	translation := matrix4_translate(t);
+	rotation := matrix4_from_quaternion(r);
+	scale := matrix4_scale(s);
+	return mul(translation, mul(rotation, scale));
+}
 matrix4_from_trs_f32 :: proc(t: Vector3f32, r: Quaternionf32, s: Vector3f32) -> Matrix4f32 {
 	translation := matrix4_translate(t);
 	rotation := matrix4_from_quaternion(r);
@@ -1154,12 +1645,16 @@ matrix4_from_trs_f64 :: proc(t: Vector3f64, r: Quaternionf64, s: Vector3f64) ->
 	return mul(translation, mul(rotation, scale));
 }
 matrix4_from_trs :: proc{
+	matrix4_from_trs_f16,
 	matrix4_from_trs_f32,
 	matrix4_from_trs_f64,
 };
 
 
 
+matrix4_inverse_f16 :: proc(m: Matrix4f16) -> Matrix4f16 {
+	return transpose(matrix4_inverse_transpose(m));
+}
 matrix4_inverse_f32 :: proc(m: Matrix4f32) -> Matrix4f32 {
 	return transpose(matrix4_inverse_transpose(m));
 }
@@ -1167,11 +1662,23 @@ matrix4_inverse_f64 :: proc(m: Matrix4f64) -> Matrix4f64 {
 	return transpose(matrix4_inverse_transpose(m));
 }
 matrix4_inverse :: proc{
+	matrix4_inverse_f16,
 	matrix4_inverse_f32,
 	matrix4_inverse_f64,
 };
 
 
+matrix4_minor_f16 :: proc(m: Matrix4f16, c, r: int) -> f16 {
+	cut_down: Matrix3f16;
+	for i in 0..<3 {
+		col := i if i < c else i+1;
+		for j in 0..<3 {
+			row := j if j < r else j+1;
+			cut_down[i][j] = m[col][row];
+		}
+	}
+	return matrix3_determinant(cut_down);
+}
 matrix4_minor_f32 :: proc(m: Matrix4f32, c, r: int) -> f32 {
 	cut_down: Matrix3f32;
 	for i in 0..<3 {
@@ -1195,11 +1702,18 @@ matrix4_minor_f64 :: proc(m: Matrix4f64, c, r: int) -> f64 {
 	return matrix3_determinant(cut_down);
 }
 matrix4_minor :: proc{
+	matrix4_minor_f16,
 	matrix4_minor_f32,
 	matrix4_minor_f64,
 };
 
 
+matrix4_cofactor_f16 :: proc(m: Matrix4f16, c, r: int) -> f16 {
+	sign, minor: f16;
+	sign = 1 if (c + r) % 2 == 0 else -1;
+	minor = matrix4_minor(m, c, r);
+	return sign * minor;
+}
 matrix4_cofactor_f32 :: proc(m: Matrix4f32, c, r: int) -> f32 {
 	sign, minor: f32;
 	sign = 1 if (c + r) % 2 == 0 else -1;
@@ -1213,11 +1727,20 @@ matrix4_cofactor_f64 :: proc(m: Matrix4f64, c, r: int) -> f64 {
 	return sign * minor;
 }
 matrix4_cofactor :: proc{
+	matrix4_cofactor_f16,
 	matrix4_cofactor_f32,
 	matrix4_cofactor_f64,
 };
 
 
+matrix4_adjoint_f16 :: proc(m: Matrix4f16) -> (adjoint: Matrix4f16) {
+	for i in 0..<4 {
+		for j in 0..<4 {
+			adjoint[i][j] = matrix4_cofactor(m, i, j);
+		}
+	}
+	return;
+}
 matrix4_adjoint_f32 :: proc(m: Matrix4f32) -> (adjoint: Matrix4f32) {
 	for i in 0..<4 {
 		for j in 0..<4 {
@@ -1235,11 +1758,19 @@ matrix4_adjoint_f64 :: proc(m: Matrix4f64) -> (adjoint: Matrix4f64) {
 	return;
 }
 matrix4_adjoint :: proc{
+	matrix4_adjoint_f16,
 	matrix4_adjoint_f32,
 	matrix4_adjoint_f64,
 };
 
 
+matrix4_determinant_f16 :: proc(m: Matrix4f16) -> (determinant: f16) {
+	adjoint := matrix4_adjoint(m);
+	for i in 0..<4 {
+		determinant += m[i][0] * adjoint[i][0];
+	}
+	return;
+}
 matrix4_determinant_f32 :: proc(m: Matrix4f32) -> (determinant: f32) {
 	adjoint := matrix4_adjoint(m);
 	for i in 0..<4 {
@@ -1255,11 +1786,26 @@ matrix4_determinant_f64 :: proc(m: Matrix4f64) -> (determinant: f64) {
 	return;
 }
 matrix4_determinant :: proc{
+	matrix4_determinant_f16,
 	matrix4_determinant_f32,
 	matrix4_determinant_f64,
 };
 
 
+matrix4_inverse_transpose_f16 :: proc(m: Matrix4f16) -> (inverse_transpose: Matrix4f16) {
+	adjoint := matrix4_adjoint(m);
+	determinant: f16 = 0;
+	for i in 0..<4 {
+		determinant += m[i][0] * adjoint[i][0];
+	}
+	inv_determinant := 1.0 / determinant;
+	for i in 0..<4 {
+		for j in 0..<4 {
+			inverse_transpose[i][j] = adjoint[i][j] * inv_determinant;
+		}
+	}
+	return;
+}
 matrix4_inverse_transpose_f32 :: proc(m: Matrix4f32) -> (inverse_transpose: Matrix4f32) {
 	adjoint := matrix4_adjoint(m);
 	determinant: f32 = 0;
@@ -1289,11 +1835,19 @@ matrix4_inverse_transpose_f64 :: proc(m: Matrix4f64) -> (inverse_transpose: Matr
 	return;
 }
 matrix4_inverse_transpose :: proc{
+	matrix4_inverse_transpose_f16,
 	matrix4_inverse_transpose_f32,
 	matrix4_inverse_transpose_f64,
 };
 
 
+matrix4_translate_f16 :: proc(v: Vector3f16) -> Matrix4f16 {
+	m := MATRIX4F16_IDENTITY;
+	m[3][0] = v[0];
+	m[3][1] = v[1];
+	m[3][2] = v[2];
+	return m;
+}
 matrix4_translate_f32 :: proc(v: Vector3f32) -> Matrix4f32 {
 	m := MATRIX4F32_IDENTITY;
 	m[3][0] = v[0];
@@ -1309,11 +1863,38 @@ matrix4_translate_f64 :: proc(v: Vector3f64) -> Matrix4f64 {
 	return m;
 }
 matrix4_translate :: proc{
+	matrix4_translate_f16,
 	matrix4_translate_f32,
 	matrix4_translate_f64,
 };
 
 
+matrix4_rotate_f16 :: proc(angle_radians: f16, v: Vector3f16) -> Matrix4f16 {
+	c := math.cos(angle_radians);
+	s := math.sin(angle_radians);
+
+	a := normalize(v);
+	t := a * (1-c);
+
+	rot := MATRIX4F16_IDENTITY;
+
+	rot[0][0] = c + t[0]*a[0];
+	rot[0][1] = 0 + t[0]*a[1] + s*a[2];
+	rot[0][2] = 0 + t[0]*a[2] - s*a[1];
+	rot[0][3] = 0;
+
+	rot[1][0] = 0 + t[1]*a[0] - s*a[2];
+	rot[1][1] = c + t[1]*a[1];
+	rot[1][2] = 0 + t[1]*a[2] + s*a[0];
+	rot[1][3] = 0;
+
+	rot[2][0] = 0 + t[2]*a[0] + s*a[1];
+	rot[2][1] = 0 + t[2]*a[1] - s*a[0];
+	rot[2][2] = c + t[2]*a[2];
+	rot[2][3] = 0;
+
+	return rot;
+}
 matrix4_rotate_f32 :: proc(angle_radians: f32, v: Vector3f32) -> Matrix4f32 {
 	c := math.cos(angle_radians);
 	s := math.sin(angle_radians);
@@ -1367,11 +1948,19 @@ matrix4_rotate_f64 :: proc(angle_radians: f64, v: Vector3f64) -> Matrix4f64 {
 	return rot;
 }
 matrix4_rotate :: proc{
+	matrix4_rotate_f16,
 	matrix4_rotate_f32,
 	matrix4_rotate_f64,
 };
 
 
+matrix4_scale_f16 :: proc(v: Vector3f16) -> (m: Matrix4f16) {
+	m[0][0] = v[0];
+	m[1][1] = v[1];
+	m[2][2] = v[2];
+	m[3][3] = 1;
+	return;
+}
 matrix4_scale_f32 :: proc(v: Vector3f32) -> (m: Matrix4f32) {
 	m[0][0] = v[0];
 	m[1][1] = v[1];
@@ -1387,11 +1976,26 @@ matrix4_scale_f64 :: proc(v: Vector3f64) -> (m: Matrix4f64) {
 	return;
 }
 matrix4_scale :: proc{
+	matrix4_scale_f16,
 	matrix4_scale_f32,
 	matrix4_scale_f64,
 };
 
 
+matrix4_look_at_f16 :: proc(eye, centre, up: Vector3f16, flip_z_axis := true) -> (m: Matrix4f16) {
+	f := normalize(centre - eye);
+	s := normalize(cross(f, up));
+	u := cross(s, f);
+
+	fe := dot(f, eye);
+
+	return {
+		{+s.x, +u.x, -f.x, 0},
+		{+s.y, +u.y, -f.y, 0},
+		{+s.z, +u.z, -f.z, 0},
+		{-dot(s, eye), -dot(u, eye), +fe if flip_z_axis else -fe, 1},
+	};
+}
 matrix4_look_at_f32 :: proc(eye, centre, up: Vector3f32, flip_z_axis := true) -> (m: Matrix4f32) {
 	f := normalize(centre - eye);
 	s := normalize(cross(f, up));
@@ -1421,12 +2025,26 @@ matrix4_look_at_f64 :: proc(eye, centre, up: Vector3f64, flip_z_axis := true) ->
 	};
 }
 matrix4_look_at :: proc{
+	matrix4_look_at_f16,
 	matrix4_look_at_f32,
 	matrix4_look_at_f64,
 };
 
 
+matrix4_perspective_f16 :: proc(fovy, aspect, near, far: f16, flip_z_axis := true) -> (m: Matrix4f16) {
+	tan_half_fovy := math.tan(0.5 * fovy);
+	m[0][0] = 1 / (aspect*tan_half_fovy);
+	m[1][1] = 1 / (tan_half_fovy);
+	m[2][2] = +(far + near) / (far - near);
+	m[2][3] = +1;
+	m[3][2] = -2*far*near / (far - near);
+
+	if flip_z_axis {
+		m[2] = -m[2];
+	}
 
+	return;
+}
 matrix4_perspective_f32 :: proc(fovy, aspect, near, far: f32, flip_z_axis := true) -> (m: Matrix4f32) {
 	tan_half_fovy := math.tan(0.5 * fovy);
 	m[0][0] = 1 / (aspect*tan_half_fovy);
@@ -1456,11 +2074,28 @@ matrix4_perspective_f64 :: proc(fovy, aspect, near, far: f64, flip_z_axis := tru
 	return;
 }
 matrix4_perspective :: proc{
+	matrix4_perspective_f16,
 	matrix4_perspective_f32,
 	matrix4_perspective_f64,
 };
 
 
+
+matrix_ortho3d_f16 :: proc(left, right, bottom, top, near, far: f16, flip_z_axis := true) -> (m: Matrix4f16) {
+	m[0][0] = +2 / (right - left);
+	m[1][1] = +2 / (top - bottom);
+	m[2][2] = +2 / (far - near);
+	m[3][0] = -(right + left)   / (right - left);
+	m[3][1] = -(top   + bottom) / (top - bottom);
+	m[3][2] = -(far + near) / (far- near);
+	m[3][3] = 1;
+
+	if flip_z_axis {
+		m[2] = -m[2];
+	}
+
+	return;
+}
 matrix_ortho3d_f32 :: proc(left, right, bottom, top, near, far: f32, flip_z_axis := true) -> (m: Matrix4f32) {
 	m[0][0] = +2 / (right - left);
 	m[1][1] = +2 / (top - bottom);
@@ -1492,11 +2127,27 @@ matrix_ortho3d_f64 :: proc(left, right, bottom, top, near, far: f64, flip_z_axis
 	return;
 }
 matrix_ortho3d :: proc{
+	matrix_ortho3d_f16,
 	matrix_ortho3d_f32,
 	matrix_ortho3d_f64,
 };
 
 
+
+matrix4_infinite_perspective_f16 :: proc(fovy, aspect, near: f16, flip_z_axis := true) -> (m: Matrix4f16) {
+	tan_half_fovy := math.tan(0.5 * fovy);
+	m[0][0] = 1 / (aspect*tan_half_fovy);
+	m[1][1] = 1 / (tan_half_fovy);
+	m[2][2] = +1;
+	m[2][3] = +1;
+	m[3][2] = -2*near;
+
+	if flip_z_axis {
+		m[2] = -m[2];
+	}
+
+	return;
+}
 matrix4_infinite_perspective_f32 :: proc(fovy, aspect, near: f32, flip_z_axis := true) -> (m: Matrix4f32) {
 	tan_half_fovy := math.tan(0.5 * fovy);
 	m[0][0] = 1 / (aspect*tan_half_fovy);
@@ -1526,12 +2177,18 @@ matrix4_infinite_perspective_f64 :: proc(fovy, aspect, near: f64, flip_z_axis :=
 	return;
 }
 matrix4_infinite_perspective :: proc{
+	matrix4_infinite_perspective_f16,
 	matrix4_infinite_perspective_f32,
 	matrix4_infinite_perspective_f64,
 };
 
 
 
+matrix2_from_scalar_f16 :: proc(f: f16) -> (m: Matrix2f16) {
+	m[0][0], m[0][1] = f, 0;
+	m[1][0], m[1][1] = 0, f;
+	return;
+}
 matrix2_from_scalar_f32 :: proc(f: f32) -> (m: Matrix2f32) {
 	m[0][0], m[0][1] = f, 0;
 	m[1][0], m[1][1] = 0, f;
@@ -1543,11 +2200,18 @@ matrix2_from_scalar_f64 :: proc(f: f64) -> (m: Matrix2f64) {
 	return;
 }
 matrix2_from_scalar :: proc{
+	matrix2_from_scalar_f16,
 	matrix2_from_scalar_f32,
 	matrix2_from_scalar_f64,
 };
 
 
+matrix3_from_scalar_f16 :: proc(f: f16) -> (m: Matrix3f16) {
+	m[0][0], m[0][1], m[0][2] = f, 0, 0;
+	m[1][0], m[1][1], m[1][2] = 0, f, 0;
+	m[2][0], m[2][1], m[2][2] = 0, 0, f;
+	return;
+}
 matrix3_from_scalar_f32 :: proc(f: f32) -> (m: Matrix3f32) {
 	m[0][0], m[0][1], m[0][2] = f, 0, 0;
 	m[1][0], m[1][1], m[1][2] = 0, f, 0;
@@ -1561,11 +2225,19 @@ matrix3_from_scalar_f64 :: proc(f: f64) -> (m: Matrix3f64) {
 	return;
 }
 matrix3_from_scalar :: proc{
+	matrix3_from_scalar_f16,
 	matrix3_from_scalar_f32,
 	matrix3_from_scalar_f64,
 };
 
 
+matrix4_from_scalar_f16 :: proc(f: f16) -> (m: Matrix4f16) {
+	m[0][0], m[0][1], m[0][2], m[0][3] = f, 0, 0, 0;
+	m[1][0], m[1][1], m[1][2], m[1][3] = 0, f, 0, 0;
+	m[2][0], m[2][1], m[2][2], m[2][3] = 0, 0, f, 0;
+	m[3][0], m[3][1], m[3][2], m[3][3] = 0, 0, 0, f;
+	return;
+}
 matrix4_from_scalar_f32 :: proc(f: f32) -> (m: Matrix4f32) {
 	m[0][0], m[0][1], m[0][2], m[0][3] = f, 0, 0, 0;
 	m[1][0], m[1][1], m[1][2], m[1][3] = 0, f, 0, 0;
@@ -1581,11 +2253,17 @@ matrix4_from_scalar_f64 :: proc(f: f64) -> (m: Matrix4f64) {
 	return;
 }
 matrix4_from_scalar :: proc{
+	matrix4_from_scalar_f16,
 	matrix4_from_scalar_f32,
 	matrix4_from_scalar_f64,
 };
 
 
+matrix2_from_matrix3_f16 :: proc(m: Matrix3f16) -> (r: Matrix2f16) {
+	r[0][0], r[0][1] = m[0][0], m[0][1];
+	r[1][0], r[1][1] = m[1][0], m[1][1];
+	return;
+}
 matrix2_from_matrix3_f32 :: proc(m: Matrix3f32) -> (r: Matrix2f32) {
 	r[0][0], r[0][1] = m[0][0], m[0][1];
 	r[1][0], r[1][1] = m[1][0], m[1][1];
@@ -1597,11 +2275,17 @@ matrix2_from_matrix3_f64 :: proc(m: Matrix3f64) -> (r: Matrix2f64) {
 	return;
 }
 matrix2_from_matrix3 :: proc{
+	matrix2_from_matrix3_f16,
 	matrix2_from_matrix3_f32,
 	matrix2_from_matrix3_f64,
 };
 
 
+matrix2_from_matrix4_f16 :: proc(m: Matrix4f16) -> (r: Matrix2f16) {
+	r[0][0], r[0][1] = m[0][0], m[0][1];
+	r[1][0], r[1][1] = m[1][0], m[1][1];
+	return;
+}
 matrix2_from_matrix4_f32 :: proc(m: Matrix4f32) -> (r: Matrix2f32) {
 	r[0][0], r[0][1] = m[0][0], m[0][1];
 	r[1][0], r[1][1] = m[1][0], m[1][1];
@@ -1613,11 +2297,18 @@ matrix2_from_matrix4_f64 :: proc(m: Matrix4f64) -> (r: Matrix2f64) {
 	return;
 }
 matrix2_from_matrix4 :: proc{
+	matrix2_from_matrix4_f16,
 	matrix2_from_matrix4_f32,
 	matrix2_from_matrix4_f64,
 };
 
 
+matrix3_from_matrix2_f16 :: proc(m: Matrix2f16) -> (r: Matrix3f16) {
+	r[0][0], r[0][1], r[0][2] = m[0][0], m[0][1], 0;
+	r[1][0], r[1][1], r[1][2] = m[1][0], m[1][1], 0;
+	r[2][0], r[2][1], r[2][2] =       0,       0, 1;
+	return;
+}
 matrix3_from_matrix2_f32 :: proc(m: Matrix2f32) -> (r: Matrix3f32) {
 	r[0][0], r[0][1], r[0][2] = m[0][0], m[0][1], 0;
 	r[1][0], r[1][1], r[1][2] = m[1][0], m[1][1], 0;
@@ -1631,11 +2322,18 @@ matrix3_from_matrix2_f64 :: proc(m: Matrix2f64) -> (r: Matrix3f64) {
 	return;
 }
 matrix3_from_matrix2 :: proc{
+	matrix3_from_matrix2_f16,
 	matrix3_from_matrix2_f32,
 	matrix3_from_matrix2_f64,
 };
 
 
+matrix3_from_matrix4_f16 :: proc(m: Matrix4f16) -> (r: Matrix3f16) {
+	r[0][0], r[0][1], r[0][2] = m[0][0], m[0][1], m[0][2];
+	r[1][0], r[1][1], r[1][2] = m[1][0], m[1][1], m[1][2];
+	r[2][0], r[2][1], r[2][2] = m[2][0], m[2][1], m[2][2];
+	return;
+}
 matrix3_from_matrix4_f32 :: proc(m: Matrix4f32) -> (r: Matrix3f32) {
 	r[0][0], r[0][1], r[0][2] = m[0][0], m[0][1], m[0][2];
 	r[1][0], r[1][1], r[1][2] = m[1][0], m[1][1], m[1][2];
@@ -1649,11 +2347,19 @@ matrix3_from_matrix4_f64 :: proc(m: Matrix4f64) -> (r: Matrix3f64) {
 	return;
 }
 matrix3_from_matrix4 :: proc{
+	matrix3_from_matrix4_f16,
 	matrix3_from_matrix4_f32,
 	matrix3_from_matrix4_f64,
 };
 
 
+matrix4_from_matrix2_f16 :: proc(m: Matrix2f16) -> (r: Matrix4f16) {
+	r[0][0], r[0][1], r[0][2], r[0][3] = m[0][0], m[0][1], 0, 0;
+	r[1][0], r[1][1], r[1][2], r[1][3] = m[1][0], m[1][1], 0, 0;
+	r[2][0], r[2][1], r[2][2], r[2][3] =       0,       0, 1, 0;
+	r[3][0], r[3][1], r[3][2], r[3][3] =       0,       0, 0, 1;
+	return;
+}
 matrix4_from_matrix2_f32 :: proc(m: Matrix2f32) -> (r: Matrix4f32) {
 	r[0][0], r[0][1], r[0][2], r[0][3] = m[0][0], m[0][1], 0, 0;
 	r[1][0], r[1][1], r[1][2], r[1][3] = m[1][0], m[1][1], 0, 0;
@@ -1669,11 +2375,19 @@ matrix4_from_matrix2_f64 :: proc(m: Matrix2f64) -> (r: Matrix4f64) {
 	return;
 }
 matrix4_from_matrix2 :: proc{
+	matrix4_from_matrix2_f16,
 	matrix4_from_matrix2_f32,
 	matrix4_from_matrix2_f64,
 };
 
 
+matrix4_from_matrix3_f16 :: proc(m: Matrix3f16) -> (r: Matrix4f16) {
+	r[0][0], r[0][1], r[0][2], r[0][3] = m[0][0], m[0][1], m[0][2], 0;
+	r[1][0], r[1][1], r[1][2], r[1][3] = m[1][0], m[1][1], m[1][2], 0;
+	r[2][0], r[2][1], r[2][2], r[2][3] = m[2][0], m[2][1], m[2][2], 0;
+	r[3][0], r[3][1], r[3][2], r[3][3] =       0,       0,       0, 1;
+	return;
+}
 matrix4_from_matrix3_f32 :: proc(m: Matrix3f32) -> (r: Matrix4f32) {
 	r[0][0], r[0][1], r[0][2], r[0][3] = m[0][0], m[0][1], m[0][2], 0;
 	r[1][0], r[1][1], r[1][2], r[1][3] = m[1][0], m[1][1], m[1][2], 0;
@@ -1689,11 +2403,16 @@ matrix4_from_matrix3_f64 :: proc(m: Matrix3f64) -> (r: Matrix4f64) {
 	return;
 }
 matrix4_from_matrix3 :: proc{
+	matrix4_from_matrix3_f16,
 	matrix4_from_matrix3_f32,
 	matrix4_from_matrix3_f64,
 };
 
 
+quaternion_from_scalar_f16 :: proc(f: f16) -> (q: Quaternionf16) {
+	q.w = f;
+	return;
+}
 quaternion_from_scalar_f32 :: proc(f: f32) -> (q: Quaternionf32) {
 	q.w = f;
 	return;
@@ -1703,23 +2422,29 @@ quaternion_from_scalar_f64 :: proc(f: f64) -> (q: Quaternionf64) {
 	return;
 }
 quaternion_from_scalar :: proc{
+	quaternion_from_scalar_f16,
 	quaternion_from_scalar_f32,
 	quaternion_from_scalar_f64,
 };
 
 
-to_matrix2f32    :: proc{matrix2_from_scalar_f32, matrix2_from_matrix3_f32, matrix2_from_matrix4_f32};
-to_matrix3f32    :: proc{matrix3_from_scalar_f32, matrix3_from_matrix2_f32, matrix3_from_matrix4_f32, matrix3_from_quaternion_f32};
-to_matrix4f32    :: proc{matrix4_from_scalar_f32, matrix4_from_matrix2_f32, matrix4_from_matrix3_f32, matrix4_from_quaternion_f32};
-to_quaternionf32 :: proc{quaternion_from_scalar_f32, quaternion_from_matrix3_f32, quaternion_from_matrix4_f32};
 
+to_matrix2f16    :: proc{matrix2_from_scalar_f16,    matrix2_from_matrix3_f16,    matrix2_from_matrix4_f16};
+to_matrix3f16    :: proc{matrix3_from_scalar_f16,    matrix3_from_matrix2_f16,    matrix3_from_matrix4_f16, matrix3_from_quaternion_f16};
+to_matrix4f16    :: proc{matrix4_from_scalar_f16,    matrix4_from_matrix2_f16,    matrix4_from_matrix3_f16, matrix4_from_quaternion_f16};
+to_quaternionf16 :: proc{quaternion_from_scalar_f16, quaternion_from_matrix3_f16, quaternion_from_matrix4_f16};
 
 
-to_matrix2f64    :: proc{matrix2_from_scalar_f64, matrix2_from_matrix3_f64, matrix2_from_matrix4_f64};
+to_matrix2f32    :: proc{matrix2_from_scalar_f32,    matrix2_from_matrix3_f32,    matrix2_from_matrix4_f32};
+to_matrix3f32    :: proc{matrix3_from_scalar_f32,    matrix3_from_matrix2_f32,    matrix3_from_matrix4_f32, matrix3_from_quaternion_f32};
+to_matrix4f32    :: proc{matrix4_from_scalar_f32,    matrix4_from_matrix2_f32,    matrix4_from_matrix3_f32, matrix4_from_quaternion_f32};
+to_quaternionf32 :: proc{quaternion_from_scalar_f32, quaternion_from_matrix3_f32, quaternion_from_matrix4_f32};
+
 
-to_matrix3f64    :: proc{matrix3_from_scalar_f64, matrix3_from_matrix2_f64, matrix3_from_matrix4_f64, matrix3_from_quaternion_f64};
 
-to_matrix4f64    :: proc{matrix4_from_scalar_f64, matrix4_from_matrix2_f64, matrix4_from_matrix3_f64, matrix4_from_quaternion_f64};
+to_matrix2f64    :: proc{matrix2_from_scalar_f64,    matrix2_from_matrix3_f64,    matrix2_from_matrix4_f64};
+to_matrix3f64    :: proc{matrix3_from_scalar_f64,    matrix3_from_matrix2_f64,    matrix3_from_matrix4_f64, matrix3_from_quaternion_f64};
+to_matrix4f64    :: proc{matrix4_from_scalar_f64,    matrix4_from_matrix2_f64,    matrix4_from_matrix3_f64, matrix4_from_quaternion_f64};
 to_quaternionf64 :: proc{quaternion_from_scalar_f64, quaternion_from_matrix3_f64, quaternion_from_matrix4_f64};
 
 
@@ -1727,28 +2452,40 @@ to_quaternionf64 :: proc{quaternion_from_scalar_f64, quaternion_from_matrix3_f64
 
 
 to_matrix2f :: proc{
-
+	matrix2_from_scalar_f16, matrix2_from_matrix3_f16, matrix2_from_matrix4_f16,
 	matrix2_from_scalar_f32, matrix2_from_matrix3_f32, matrix2_from_matrix4_f32,
 	matrix2_from_scalar_f64, matrix2_from_matrix3_f64, matrix2_from_matrix4_f64,
 };
 
 to_matrix3 :: proc{
+	matrix3_from_scalar_f16, matrix3_from_matrix2_f16, matrix3_from_matrix4_f16, matrix3_from_quaternion_f16,
 	matrix3_from_scalar_f32, matrix3_from_matrix2_f32, matrix3_from_matrix4_f32, matrix3_from_quaternion_f32,
 	matrix3_from_scalar_f64, matrix3_from_matrix2_f64, matrix3_from_matrix4_f64, matrix3_from_quaternion_f64,
 };
 
 to_matrix4 :: proc{
+	matrix4_from_scalar_f16, matrix4_from_matrix2_f16, matrix4_from_matrix3_f16, matrix4_from_quaternion_f16,
 	matrix4_from_scalar_f32, matrix4_from_matrix2_f32, matrix4_from_matrix3_f32, matrix4_from_quaternion_f32,
 	matrix4_from_scalar_f64, matrix4_from_matrix2_f64, matrix4_from_matrix3_f64, matrix4_from_quaternion_f64,
 };
 
 to_quaternion :: proc{
+	quaternion_from_scalar_f16, quaternion_from_matrix3_f16, quaternion_from_matrix4_f16,
 	quaternion_from_scalar_f32, quaternion_from_matrix3_f32, quaternion_from_matrix4_f32,
 	quaternion_from_scalar_f64, quaternion_from_matrix3_f64, quaternion_from_matrix4_f64,
 };
 
 
 
+matrix2_orthonormalize_f16 :: proc(m: Matrix2f16) -> (r: Matrix2f16) {
+	r[0] = normalize(m[0]);
+
+	d0 := dot(r[0], r[1]);
+	r[1] -= r[0] * d0;
+	r[1] = normalize(r[1]);
+
+	return;
+}
 matrix2_orthonormalize_f32 :: proc(m: Matrix2f32) -> (r: Matrix2f32) {
 	r[0] = normalize(m[0]);
 
@@ -1768,11 +2505,26 @@ matrix2_orthonormalize_f64 :: proc(m: Matrix2f64) -> (r: Matrix2f64) {
 	return;
 }
 matrix2_orthonormalize :: proc{
+	matrix2_orthonormalize_f16,
 	matrix2_orthonormalize_f32,
 	matrix2_orthonormalize_f64,
 };
 
 
+matrix3_orthonormalize_f16 :: proc(m: Matrix3f16) -> (r: Matrix3f16) {
+	r[0] = normalize(m[0]);
+
+	d0 := dot(r[0], r[1]);
+	r[1] -= r[0] * d0;
+	r[1] = normalize(r[1]);
+
+	d1 := dot(r[1], r[2]);
+	d0 = dot(r[0], r[2]);
+	r[2] -= r[0]*d0 + r[1]*d1;
+	r[2] = normalize(r[2]);
+
+	return;
+}
 matrix3_orthonormalize_f32 :: proc(m: Matrix3f32) -> (r: Matrix3f32) {
 	r[0] = normalize(m[0]);
 
@@ -1802,11 +2554,15 @@ matrix3_orthonormalize_f64 :: proc(m: Matrix3f64) -> (r: Matrix3f64) {
 	return;
 }
 matrix3_orthonormalize :: proc{
+	matrix3_orthonormalize_f16,
 	matrix3_orthonormalize_f32,
 	matrix3_orthonormalize_f64,
 };
 
 
+vector3_orthonormalize_f16 :: proc(x, y: Vector3f16) -> (z: Vector3f16) {
+	return normalize(x - y * dot(y, x));
+}
 vector3_orthonormalize_f32 :: proc(x, y: Vector3f32) -> (z: Vector3f32) {
 	return normalize(x - y * dot(y, x));
 }
@@ -1814,22 +2570,29 @@ vector3_orthonormalize_f64 :: proc(x, y: Vector3f64) -> (z: Vector3f64) {
 	return normalize(x - y * dot(y, x));
 }
 vector3_orthonormalize :: proc{
+	vector3_orthonormalize_f16,
 	vector3_orthonormalize_f32,
 	vector3_orthonormalize_f64,
 };
 
 
 orthonormalize :: proc{
-	matrix2_orthonormalize_f32,
-	matrix2_orthonormalize_f64,
-	matrix3_orthonormalize_f32,
-
-	matrix3_orthonormalize_f64,
-	vector3_orthonormalize_f32,
-	vector3_orthonormalize_f64,
+	matrix2_orthonormalize_f16, matrix3_orthonormalize_f16, vector3_orthonormalize_f16,
+	matrix2_orthonormalize_f32, matrix3_orthonormalize_f32, vector3_orthonormalize_f32,
+	matrix2_orthonormalize_f64, matrix3_orthonormalize_f64, vector3_orthonormalize_f64,
 };
 
 
+matrix4_orientation_f16 :: proc(normal, up: Vector3f16) -> Matrix4f16 {
+	if all(equal(normal, up)) {
+		return MATRIX4F16_IDENTITY;
+	}
+
+	rotation_axis := cross(up, normal);
+	angle := math.acos(dot(normal, up));
+
+	return matrix4_rotate(angle, rotation_axis);
+}
 matrix4_orientation_f32 :: proc(normal, up: Vector3f32) -> Matrix4f32 {
 	if all(equal(normal, up)) {
 		return MATRIX4F32_IDENTITY;
@@ -1851,11 +2614,23 @@ matrix4_orientation_f64 :: proc(normal, up: Vector3f64) -> Matrix4f64 {
 	return matrix4_rotate(angle, rotation_axis);
 }
 matrix4_orientation :: proc{
+	matrix4_orientation_f16,
 	matrix4_orientation_f32,
 	matrix4_orientation_f64,
 };
 
 
+euclidean_from_polar_f16 :: proc(polar: Vector2f16) -> Vector3f16 {
+	latitude, longitude := polar.x, polar.y;
+	cx, sx := math.cos(latitude), math.sin(latitude);
+	cy, sy := math.cos(longitude), math.sin(longitude);
+
+	return {
+		cx*sy,
+		sx,
+		cx*cy,
+	};
+}
 euclidean_from_polar_f32 :: proc(polar: Vector2f32) -> Vector3f32 {
 	latitude, longitude := polar.x, polar.y;
 	cx, sx := math.cos(latitude), math.sin(latitude);
@@ -1879,11 +2654,24 @@ euclidean_from_polar_f64 :: proc(polar: Vector2f64) -> Vector3f64 {
 	};
 }
 euclidean_from_polar :: proc{
+	euclidean_from_polar_f16,
 	euclidean_from_polar_f32,
 	euclidean_from_polar_f64,
 };
 
 
+polar_from_euclidean_f16 :: proc(euclidean: Vector3f16) -> Vector3f16 {
+	n := length(euclidean);
+	tmp := euclidean / n;
+
+	xz_dist := math.sqrt(tmp.x*tmp.x + tmp.z*tmp.z);
+
+	return {
+		math.asin(tmp.y),
+		math.atan2(tmp.x, tmp.z),
+		xz_dist,
+	};
+}
 polar_from_euclidean_f32 :: proc(euclidean: Vector3f32) -> Vector3f32 {
 	n := length(euclidean);
 	tmp := euclidean / n;
@@ -1909,6 +2697,7 @@ polar_from_euclidean_f64 :: proc(euclidean: Vector3f64) -> Vector3f64 {
 	};
 }
 polar_from_euclidean :: proc{
+	polar_from_euclidean_f16,
 	polar_from_euclidean_f32,
 	polar_from_euclidean_f64,
 };