updated makefile for supporting different target architectures
use "ARCH=arch_name make" restructured project folder, implementations and headers together under sources/
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beno
124
sources/GL_STUFF/CURVES/Hermite.cpp
Executable file
124
sources/GL_STUFF/CURVES/Hermite.cpp
Executable file
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#include "Hermite.hpp"
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#define PHI0(t) (2.0f*t*t*t - 3.0f*t*t + 1)
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#define PHI1(t) (t*t*t - 2.0f*t*t + t)
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#define PSI0(t) (-2.0f*t*t*t + 3.0f*t*t)
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#define PSI1(t) (t*t*t - t*t)
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Hermite::Hermite(vector<glm::vec3> *points, vector<float> *intervalBoundaries)
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: Curve{ points, intervalBoundaries } {
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}
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void Hermite::computeDerivatives(HermiteModes mode, vector<glm::vec3> auxData) {
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derivatives.clear();
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int length = (*controlPoints).size();
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switch (mode) {
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case HermiteModes::Direct:
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assert(controlPoints->size() == auxData.size());
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derivatives.push_back(auxData[0]);
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for (int i = 0; i < auxData.size() - 1; i++) {
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derivatives.push_back(auxData[i]);
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derivatives.push_back(auxData[i]);
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}
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derivatives.push_back(auxData[auxData.size() - 1]);
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break;
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case HermiteModes::Basic:
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{
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glm::vec3 result;
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result = 0.5f * ((*controlPoints)[1] - (*controlPoints)[0]) / ((*intervalBoundaries)[1] - (*intervalBoundaries)[0]);
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derivatives.push_back(result);
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for (int i = 1; i < length - 1; i++) {
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result = 0.5f *
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(
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(((*controlPoints)[i + 1] - (*controlPoints)[i])
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/ ((*intervalBoundaries)[i + 1] - (*intervalBoundaries)[i]))
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+ (((*controlPoints)[i] - (*controlPoints)[i - 1])
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/ ((*intervalBoundaries)[i] - (*intervalBoundaries)[i - 1]))
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);
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derivatives.push_back(result);
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derivatives.push_back(result);
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}
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result = 0.5f * ((*controlPoints)[length - 1] - (*controlPoints)[length - 2]) / ((*intervalBoundaries)[length - 1] - (*intervalBoundaries)[length - 2]);
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derivatives.push_back(result);
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}
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break;
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case HermiteModes::Cardinal:
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{
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assert(controlPoints->size() == auxData.size());
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int last = controlPoints->size() - 1;
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glm::vec3 delta1;
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glm::vec3 delta2;
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delta1 = (*controlPoints)[1] - (*controlPoints)[0];
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float interval1;
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float interval2;
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interval1 = (*intervalBoundaries)[1] - (*intervalBoundaries)[0];
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glm::vec3 result;
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result = 0.5f * (1 - auxData[0].x) * delta1 / interval1;
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derivatives.push_back(result);
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for (int i = 1; i < last; i++) {
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delta1 = (*controlPoints)[i + 1] - (*controlPoints)[i];
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delta2 = (*controlPoints)[i] - (*controlPoints)[i - 1];
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interval1 = (*intervalBoundaries)[i + 1] - (*intervalBoundaries)[i];
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interval2 = (*intervalBoundaries)[i] - (*intervalBoundaries)[i - 1];
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result = 0.5f * (1 - auxData[i].x) * (delta1 / interval1 + delta2 / interval2);
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derivatives.push_back(result);
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derivatives.push_back(result);
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}
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delta1 = (*controlPoints)[last] - (*controlPoints)[last - 1];
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interval1 = (*intervalBoundaries)[last] - (*intervalBoundaries)[last - 1];
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result = 0.5f * (1 - auxData[last].x) * (delta1 / interval1);
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derivatives.push_back(result);
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}
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break;
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case HermiteModes::TBC:
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{
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assert(controlPoints->size() == auxData.size());
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int last = controlPoints->size() - 1;
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glm::vec3 delta1;
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glm::vec3 delta2;
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delta1 = (*controlPoints)[1] - (*controlPoints)[0];
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float interval1;
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float interval2;
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interval1 = (*intervalBoundaries)[1] - (*intervalBoundaries)[0];
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glm::vec3 result;
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//first
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result = 0.5f * (1 - auxData[0].x) * (1 + auxData[0].y) * (1 + auxData[0].z) * delta1 / interval1;
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derivatives.push_back(result);
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for (int i = 1; i < last; i++) {
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delta1 = (*controlPoints)[i + 1] - (*controlPoints)[i];
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delta2 = (*controlPoints)[i] - (*controlPoints)[i - 1];
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interval1 = (*intervalBoundaries)[i + 1] - (*intervalBoundaries)[i];
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interval2 = (*intervalBoundaries)[i] - (*intervalBoundaries)[i - 1];
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//last
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result = 0.5f * ((1 - auxData[i].x) * (1 + auxData[i].y) * (1 - auxData[i].z) * (delta1 / interval1) + (1 - auxData[i].x) * (1 - auxData[i].y) * (1 - auxData[i].z) * (delta2 / interval2));
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derivatives.push_back(result);
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//first
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result = 0.5f * ((1 - auxData[i].x) * (1 + auxData[i].y) * (1 + auxData[i].z) * (delta1 / interval1) + (1 - auxData[i].x) * (1 - auxData[i].y) * (1 - auxData[i].z) * (delta2 / interval2));
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derivatives.push_back(result);
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}
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delta1 = (*controlPoints)[last] - (*controlPoints)[last - 1];
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interval1 = (*intervalBoundaries)[last] - (*intervalBoundaries)[last - 1];
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//last
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result = 0.5f * ((1 - auxData[last].x) * (1 + auxData[last].y) * (1 - auxData[last].z) * (delta1 / interval1));
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derivatives.push_back(result);
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}
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break;
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}
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}
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glm::vec3 Hermite::evaluateCubic(float t, float t1, float t2, glm::vec3 y1, glm::vec3 y2, glm::vec3 dy1, glm::vec3 dy2) {
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float interval = t2 - t1;
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float newX = (t - t1) / interval;
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return y1 * PHI0(newX) + dy1 * interval * PHI1(newX) + y2 * PSI0(newX) + dy2 * interval * PSI1(newX);
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}
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glm::vec3 Hermite::evaluate(float at) {
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for (int i = 0; i < intervalBoundaries->size() - 1; i++)
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if ((*intervalBoundaries)[i] <= at && at <= (*intervalBoundaries)[i + 1])
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return evaluateCubic(at, (*intervalBoundaries)[i], (*intervalBoundaries)[i + 1], (*controlPoints)[i], (*controlPoints)[i + 1], derivatives[2 * i], derivatives[2 * i + 1]);
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return glm::vec3();
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}
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glm::vec3 Hermite::derivate(float at) {
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return glm::vec3();
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}
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