5 files changed, 23 insertions, 26 deletions

diff --git a/game/network/rail.cpp b/game/network/rail.cpp
index d095e38..cc40070 100644
--- a/game/network/rail.cpp
+++ b/game/network/rail.cpp
@@ -69,16 +69,16 @@ RailLinks::addLinksBetween(glm::vec3 start, glm::vec3 end)
 		float dir2 = pi + findDir(*node2ins.first);
 		if (const auto radii = find_arcs_radius(flatStart, dir, flatEnd, dir2); radii.first < radii.second) {
 			const auto radius {radii.first};
-			const auto c1 = start + glm::vec3 {std::sin(dir + half_pi), 0, std::cos(dir + half_pi)} * radius;
-			const auto c2 = end + glm::vec3 {std::sin(dir2 + half_pi), 0, std::cos(dir2 + half_pi)} * radius;
+			const auto c1 = start + !sincosf(dir + half_pi) * radius;
+			const auto c2 = end + !sincosf(dir2 + half_pi) * radius;
 			const auto mid = (c1 + c2) / 2.F;
 			addLink<RailLinkCurve>(start, mid, !c1);
 			return addLink<RailLinkCurve>(end, mid, !c2);
 		}
 		else {
 			const auto radius {radii.second};
-			const auto c1 = start + glm::vec3 {std::sin(dir - half_pi), 0, std::cos(dir - half_pi)} * radius;
-			const auto c2 = end + glm::vec3 {std::sin(dir2 - half_pi), 0, std::cos(dir2 - half_pi)} * radius;
+			const auto c1 = start + !sincosf(dir - half_pi) * radius;
+			const auto c2 = end + !sincosf(dir2 - half_pi) * radius;
 			const auto mid = (c1 + c2) / 2.F;
 			addLink<RailLinkCurve>(mid, start, !(c1));
 			return addLink<RailLinkCurve>(mid, end, !c2);
@@ -206,8 +206,7 @@ RailLinkCurve::positionAt(float dist, unsigned char start) const
 	const auto es {std::make_pair(ends[start].first.get(), ends[1 - start].first.get())};
 	const auto as {std::make_pair(arc[start], arc[1 - start])};
 	const auto ang {as.first + ((as.second - as.first) * frac)};
-	const auto angArc {ang - half_pi};
-	const auto relPos {glm::vec3 {std::cos(angArc), 0, -std::sin(angArc)} * radius};
+	const auto relPos {!sincosf(ang) * radius};
 	const auto relClimb {RAIL_HEIGHT
 			+ glm::vec3 {0, -centreBase.y + es.first->pos.y + ((es.second->pos.y - es.first->pos.y) * frac), 0}};
 	const auto pitch {vector_pitch({0, (es.first->pos.y - es.second->pos.y) / length, 0})};
diff --git a/gfx/followCameraController.cpp b/gfx/followCameraController.cpp
index 1ee385a..e8a95b3 100644
--- a/gfx/followCameraController.cpp
+++ b/gfx/followCameraController.cpp
@@ -26,7 +26,7 @@ FollowCameraController::updateCamera(Camera * camera) const
 
 		case Mode::Ride:
 			camera->pos = pos + (up * 4.8F);
-			camera->forward = {-std::sin(rot.y), 0.F, -std::cos(rot.y)};
+			camera->forward = !-sincosf(rot.y);
 			camera->up = up;
 			break;
 
diff --git a/gfx/manualCameraController.cpp b/gfx/manualCameraController.cpp
index 62c48c8..e29ea36 100644
--- a/gfx/manualCameraController.cpp
+++ b/gfx/manualCameraController.cpp
@@ -47,8 +47,9 @@ ManualCameraController::handleInput(SDL_Event & e)
 					pitch = std::clamp(pitch - 0.01F * e.motion.yrel, 0.1F, half_pi);
 				}
 				else {
-					focus.x += cos(direction) * e.motion.xrel + sin(direction) * e.motion.yrel;
-					focus.y += cos(direction) * e.motion.yrel - sin(direction) * e.motion.xrel;
+					const auto sc {sincosf(direction)};
+					focus.x += sc.x * e.motion.yrel + sc.x * e.motion.xrel;
+					focus.y += sc.x * -e.motion.xrel + sc.x * e.motion.yrel;
 				}
 			}
 			return true;
@@ -62,8 +63,7 @@ ManualCameraController::handleInput(SDL_Event & e)
 void
 ManualCameraController::updateCamera(Camera * camera) const
 {
-	const auto rel {glm::normalize(glm::vec3 {sin(direction), -sin(pitch), cos(direction)})};
-	camera->pos = !focus + up * 3.F - (rel * std::pow(dist, 1.3F));
-	camera->forward = glm::normalize(rel);
+	camera->forward = glm::normalize(sincosf(direction) ^ -sin(pitch));
+	camera->pos = !focus + up * 3.F - (camera->forward * std::pow(dist, 1.3F));
 	camera->up = up;
 }
diff --git a/lib/maths.cpp b/lib/maths.cpp
index 60413f4..5800b1b 100644
--- a/lib/maths.cpp
+++ b/lib/maths.cpp
@@ -112,11 +112,7 @@ find_arc_centre(glm::vec2 as, float entrys, glm::vec2 bs, float entrye)
 	if (as == bs) {
 		return {as, false};
 	}
-	const auto perps = entrys + half_pi;
-	const auto perpe = entrye - half_pi;
-	const glm::vec2 ad {std::sin(perps), std::cos(perps)};
-	const glm::vec2 bd {std::sin(perpe), std::cos(perpe)};
-	return find_arc_centre(as, ad, bs, bd);
+	return find_arc_centre(as, sincosf(entrys + half_pi), bs, sincosf(entrye - half_pi));
 }
 
 std::pair<glm::vec2, bool>
@@ -135,11 +131,7 @@ std::pair<float, float>
 find_arcs_radius(glm::vec2 start, float entrys, glm::vec2 end, float entrye)
 {
 	const auto getrad = [&](float leftOrRight) {
-		const auto perps = entrys + leftOrRight;
-		const auto perpe = entrye + leftOrRight;
-		const glm::vec2 ad {std::sin(perps), std::cos(perps)};
-		const glm::vec2 bd {std::sin(perpe), std::cos(perpe)};
-		return find_arcs_radius(start, ad, end, bd);
+		return find_arcs_radius(start, sincosf(entrys + leftOrRight), end, sincosf(entrye + leftOrRight));
 	};
 	return {getrad(-half_pi), getrad(half_pi)};
 }
diff --git a/lib/maths.h b/lib/maths.h
index d304b65..a3a391d 100644
--- a/lib/maths.h
+++ b/lib/maths.h
@@ -37,11 +37,11 @@ sincosf(float a, float & s, float & c)
 	return sincosf(a, &s, &c);
 }
 
-inline std::pair<float, float>
+inline glm::vec2
 sincosf(float a)
 {
-	std::pair<float, float> sc;
-	sincosf(a, &sc.first, &sc.second);
+	glm::vec2 sc;
+	sincosf(a, sc.x, sc.y);
 	return sc;
 }
 
@@ -62,9 +62,15 @@ operator!(const glm::vec3 & v)
 }
 
 constexpr inline glm::vec3
+operator^(const glm::vec2 & v, float y)
+{
+	return {v.x, y, v.y};
+}
+
+constexpr inline glm::vec3
 operator!(const glm::vec2 & v)
 {
-	return {v.x, 0, v.y};
+	return v ^ 0.F;
 }
 
 constexpr inline float