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authorDan Goodliffe <dan@randomdan.homeip.net>2021-02-28 15:42:39 +0000
committerDan Goodliffe <dan@randomdan.homeip.net>2021-02-28 15:42:39 +0000
commitd63f5ce1cb86e69da28bd74b21e9452dbd88a38f (patch)
tree0c9495f8cb5af05e6068b69d5d57551cc2331a97 /utility/maths.cpp
parentJust use addLinksBetween (diff)
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Move utility to lib
Diffstat (limited to 'utility/maths.cpp')
-rw-r--r--utility/maths.cpp128
1 files changed, 0 insertions, 128 deletions
diff --git a/utility/maths.cpp b/utility/maths.cpp
deleted file mode 100644
index 543c887..0000000
--- a/utility/maths.cpp
+++ /dev/null
@@ -1,128 +0,0 @@
-#include "maths.h"
-#include <cmath>
-#include <glm/glm.hpp>
-#include <glm/gtx/rotate_vector.hpp>
-#include <glm/gtx/transform.hpp>
-#include <stdexcept>
-
-glm::mat4
-flat_orientation(const glm::vec3 & diff)
-{
- static const auto oneeighty {glm::rotate(pi, up)};
- const auto flatdiff {glm::normalize(glm::vec3 {diff.x, 0, diff.z})};
- auto e {glm::orientation(flatdiff, north)};
- // Handle if diff is exactly opposite to north
- return (std::isnan(e[0][0])) ? oneeighty : e;
-}
-
-float
-vector_yaw(const glm::vec3 & diff)
-{
- return std::atan2(diff.x, diff.z);
-}
-
-float
-vector_pitch(const glm::vec3 & diff)
-{
- return std::atan(diff.y);
-}
-
-float
-round_frac(const float & v, const float & frac)
-{
- return std::round(v / frac) * frac;
-}
-
-float
-normalize(float ang)
-{
- while (ang > pi) {
- ang -= two_pi;
- }
- while (ang <= -pi) {
- ang += two_pi;
- }
- return ang;
-}
-
-Arc::Arc(const glm::vec3 & centre3, const glm::vec3 & e0p, const glm::vec3 & 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<glm::vec2, bool>
-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);
-}
-
-std::pair<glm::vec2, bool>
-find_arc_centre(glm::vec2 as, glm::vec2 ad, glm::vec2 bs, glm::vec2 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(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 {getrad(-half_pi), getrad(half_pi)};
-}
-
-float
-find_arcs_radius(glm::vec2 start, glm::vec2 ad, glm::vec2 end, glm::vec2 bd)
-{
- // Short name functions for big forula
- auto sq = [](auto v) {
- return v * v;
- };
- 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));
-}