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authorDan Goodliffe <dan@randomdan.homeip.net>2023-12-29 16:46:48 +0000
committerDan Goodliffe <dan@randomdan.homeip.net>2023-12-29 16:46:48 +0000
commitdc672a3488ec1d665fa898ced401e40ebc609bf8 (patch)
tree2afbb343d04df43cf226d6e889012f43296c38a8 /lib/maths.cpp
parentRemove misleading power operator^ on vec2/3 (diff)
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Templatise functions in maths.h using PositionND
Diffstat (limited to 'lib/maths.cpp')
-rw-r--r--lib/maths.cpp72
1 files changed, 0 insertions, 72 deletions
diff --git a/lib/maths.cpp b/lib/maths.cpp
index 17082d4..68662fc 100644
--- a/lib/maths.cpp
+++ b/lib/maths.cpp
@@ -3,7 +3,6 @@
#include <glm/glm.hpp>
#include <glm/gtx/rotate_vector.hpp>
#include <glm/gtx/transform.hpp>
-#include <stdexcept>
glm::mat4
flat_orientation(const Direction3D & diff)
@@ -106,77 +105,6 @@ normalize(float ang)
return ang;
}
-Arc::Arc(const Position3D & centre3, const Position3D & e0p, const Position3D & e1p) :
- Arc([&]() -> Arc {
- const auto diffa = e0p - centre3;
- const auto diffb = e1p - centre3;
- const auto anga = vector_yaw(diffa);
- const auto angb = [&diffb, &anga]() {
- const auto angb = vector_yaw(diffb);
- return (angb < anga) ? angb + two_pi : angb;
- }();
- return {anga, angb};
- }())
-{
-}
-
-std::pair<Position2D, bool>
-find_arc_centre(Position2D as, float entrys, Position2D bs, float entrye)
-{
- if (as == bs) {
- return {as, false};
- }
- return find_arc_centre(as, sincosf(entrys + half_pi), bs, sincosf(entrye - half_pi));
-}
-
-std::pair<Position2D, bool>
-find_arc_centre(Position2D as, Position2D ad, Position2D bs, Position2D bd)
-{
- const auto det = bd.x * ad.y - bd.y * ad.x;
- if (det != 0) { // near parallel line will yield noisy results
- const auto d = bs - as;
- const auto u = (d.y * bd.x - d.x * bd.y) / det;
- return {as + ad * u, u < 0};
- }
- throw std::runtime_error("no intersection");
-}
-
-std::pair<float, float>
-find_arcs_radius(Position2D start, float entrys, Position2D end, float entrye)
-{
- const auto getrad = [&](float leftOrRight) {
- return find_arcs_radius(start, sincosf(entrys + leftOrRight), end, sincosf(entrye + leftOrRight));
- };
- return {getrad(-half_pi), getrad(half_pi)};
-}
-
-float
-find_arcs_radius(Position2D start, Position2D ad, Position2D end, Position2D bd)
-{
- // Short name functions for big forula
- auto sqrt = [](float v) {
- return std::sqrt(v);
- };
-
- // Calculates path across both arcs along the normals... pythagorean theorem... for some known radius r
- // (2r)^2 = ((m + (X*r)) - (o + (Z*r)))^2 + ((n + (Y*r)) - (p + (W*r)))^2
- // According to symbolabs.com equation tool, that solves for r to give:
- // r=(-2 m X+2 X o+2 m Z-2 o Z-2 n Y+2 Y p+2 n W-2 p W-sqrt((2 m X-2 X o-2 m Z+2 o Z+2 n Y-2 Y p-2 n W+2 p W)^(2)-4
- // (X^(2)-2 X Z+Z^(2)+Y^(2)-2 Y W+W^(2)-4) (m^(2)-2 m o+o^(2)+n^(2)-2 n p+p^(2))))/(2 (X^(2)-2 X Z+Z^(2)+Y^(2)-2 Y
- // W+W^(2)-4))
-
- // These exist cos limitations of online formula rearrangement, and I'm OK with that.
- const auto &m {start.x}, &n {start.y}, &o {end.x}, &p {end.y};
- const auto &X {ad.x}, &Y {ad.y}, &Z {bd.x}, &W {bd.y};
-
- return (2 * m * X - 2 * X * o - 2 * m * Z + 2 * o * Z + 2 * n * Y - 2 * Y * p - 2 * n * W + 2 * p * W
- - sqrt(sq(-2 * m * X + 2 * X * o + 2 * m * Z - 2 * o * Z - 2 * n * Y + 2 * Y * p + 2 * n * W
- - 2 * p * W)
- - (4 * (sq(X) - 2 * X * Z + sq(Z) + sq(Y) - 2 * Y * W + sq(W) - 4)
- * (sq(m) - 2 * m * o + sq(o) + sq(n) - 2 * n * p + sq(p)))))
- / (2 * (sq(X) - 2 * X * Z + sq(Z) + sq(Y) - 2 * Y * W + sq(W) - 4));
-}
-
float
operator"" _mph(const long double v)
{