Working 2d square
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@ -18,6 +18,8 @@
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#define PI 3.1415
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const int VIEW_SIZE = 4.0f;
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std::vector<float> matrixMul(std::vector<float> p, std::vector<float> m)
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{
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std::vector<float> res(3);
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@ -32,6 +34,16 @@ std::vector<float> matrixMul(std::vector<float> p, std::vector<float> m)
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return res;
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}
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std::vector<float> MyWindow::GetXY(Point p, std::vector<float> m)
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{
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std::vector<float> res(3);
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res[0] = ((p.x + VIEW_SIZE / 2.0f) / VIEW_SIZE * szer );
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res[1] = ((p.y + VIEW_SIZE / 2.0f) / VIEW_SIZE * wys);
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return res;
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}
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std::vector<float> matrixMul3x3(std::vector<float> m1, std::vector<float> m2)
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{
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std::vector<float> res(9, 0);
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@ -48,6 +60,21 @@ std::vector<float> matrixMul3x3(std::vector<float> m1, std::vector<float> m2)
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return res;
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}
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std::vector<float> matrixMul4x4(std::vector<float> m1, std::vector<float> m2)
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{
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std::vector<float> res(16, 0);
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for(int i = 0; i < 4; i++)
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{
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for(int j = 0; j < 4; j++)
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{
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for(int k = 0; k < 4; k++)
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{
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res[i * 4 + j] += m1[i * 4 + k] * m2[k * 4 + j];
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}
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}
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}
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return res;
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}
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// Definicja konstruktora, wywolujemy najpierw
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// konstruktor klasy nadrzednej, nastepnie tworzymy
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// obiekt klasy Ui_MyWindow reprezentujacy GUI
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@ -81,6 +108,17 @@ MyWindow::MyWindow(QWidget *parent) :
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translation_vec.push_back(0);
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translation_vec.push_back(0);
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// points[0] = Point(-1.0f, -1.0f, 0.0f);
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// points[1] = Point(1.0f, -1.0f, 0.0f);
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// points[2] = Point(1.0f, 1.0f, 0.0f);
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// points[3] = Point(-1.0f, 1.0f, 0.0f);
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// points[4] = Point(-1.0f, -1.0f, 0.0f);
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// points[5] = Point(1.0f, -1.0f, 0.0f);
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// points[6] = Point(1.0f, 1.0f, 0.0f);
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// points[7] = Point(-1.0f, 1.0f, 0.0f);
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scale_vec.push_back(1.0f);
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scale_vec.push_back(1.0f);
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@ -142,59 +180,73 @@ void MyWindow::UpdateImage(){
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float cosa = cos(rotation_angle * 0.01745329252f);
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std::vector<float> translate_mat = {
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1, 0, translation_vec[0],
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0, 1, translation_vec[1],
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0, 0, 1,
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1, 0, 0, translation_vec[0],
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0, 1, 0, translation_vec[1],
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0, 0, 1, 0,
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0, 0, 0, 1,
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};
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std::vector<float> scale_mat = {
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scale_vec[0], 0, 0,
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0, scale_vec[1], 0,
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0, 0, 1,
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scale_vec[0], 0, 0, 0,
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0, scale_vec[1], 0, 0,
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0, 0, scale_vec[1], 0,
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0, 0, 0, 1,
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};
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std::vector<float> rotation_mat = {
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cosa, -sina, 0,
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sina, cosa, 0,
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0, 0, 1,
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std::vector<float> rotation_mat_x = {
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1, 0, 0, 0,
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0, cosa, -sina, 0,
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0, sina, cosa, 0,
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0, 0, 0, 1
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};
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std::vector<float> shx_mat = {
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1, sh_vec[0], 0,
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0, 1, 0,
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0, 0, 1,
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std::vector<float> rotation_mat_y = {
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cosa, 0, sina, 0,
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0, 1, 0, 0,
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-sina, 0, cosa, 0,
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0, 0, 0, 1
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};
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std::vector<float> shy_mat = {
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1, 0, 0,
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sh_vec[1], 1, 0,
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0, 0, 1,
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std::vector<float> rotation_mat_z = {
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cosa, -sina, 0, 0,
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sina, cosa, 0, 0,
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0, 0, 1, 0,
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0, 0, 0, 1
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};
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std::vector<float> tansform_mat = matrixMul3x3(matrixMul3x3(matrixMul3x3(matrixMul3x3(
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std::vector<float> sh_mat = {
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1, 0, sh_vec[0], 0,
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0, 1, sh_vec[1], 0,
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0, 0, 1, 0,
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0, 0, 0, 1,
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};
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std::vector<float> tansform_mat =
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matrixMul4x4(
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matrixMul4x4(
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matrixMul4x4(
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matrixMul4x4(
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matrixMul4x4(
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scale_mat,
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rotation_mat),
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shx_mat),
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shy_mat),
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rotation_mat_x),
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rotation_mat_y),
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rotation_mat_z),
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sh_mat),
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translate_mat);
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for(int x = 0; x < szer; x++)
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for(int y = 0; y < wys; y++){
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float xw = (float) x / (float)szer;
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float yh = (float) y / (float) wys;
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xw -= 0.5f;
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yh -= 0.5f;
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std::vector<float> P1 = {xw, yh, 1};
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std::vector<float> P2 = matrixMul(P1, tansform_mat);
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P2[0] += 0.5f;
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P2[1] += 0.5f;
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DrawPixel(img, x, y, GetInterpolatedColor(P2[0], P2[1]));
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for(int i = 1; i < 8; i++){
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Point P1 = points[i-1];
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Point P2 = points[i];
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std::vector<float> p1_vec = GetXY(P1, std::vector<float>{});
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std::vector<float> p2_vec = GetXY(P2, std::vector<float>{});
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DrawLine(p1_vec[0], p1_vec[1], p2_vec[0], p2_vec[1], img);
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}
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update();
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}
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QColor MyWindow::GetPixel(QImage* img, int x, int y){
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QColor res;
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int width = img->width();
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@ -275,6 +327,40 @@ void MyWindow::paintEvent(QPaintEvent*)
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p.drawImage(poczX,poczY,*img);
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}
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void MyWindow::DrawLine(int x1, int y1, int x2, int y2, QImage *img){
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if(x1 > x2){
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std::swap(x1, x2);
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std::swap(y1, y2);
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}
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float diff = x2 - x1;
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float a = diff != 0 ? (y2 - y1) / diff : FLT_MAX;
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QColor color(255, 255, 255, 255);
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if(abs(a) < 1.0f){
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for(int x = x1; x <= x2; x++){
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int x_form = x - x1;
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int y = a * x_form + y1;
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DrawPixel(img, x, y, color);
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}
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}
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else{
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if(y1 > y2){
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std::swap(x1, x2);
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std::swap(y1, y2);
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}
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float diff = x2 - x1;
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float a = diff != 0 ? (y2 - y1) / diff : FLT_MAX;
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for(int y = y1; y <= y2; y++){
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int y_form = y - y1;
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int x = ((float)(y_form) / a) + x1;
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DrawPixel(img, x, y, color);
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}
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}
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}
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void MyWindow::DrawPixel(QImage* img, int x, int y, QColor color){
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if(x >= szer || y >= wys || x < 0 || y < 0)
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@ -31,6 +31,33 @@
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#include <math.h>
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#include <float.h> // for float,double macros
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struct Point{
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float x, y, z;
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Point(int x, int y, int z){
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this->x=x;
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this->y=y;
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this->z=z;
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}
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float length(){
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float mag = std::sqrt(std::pow(x, 2) + std::pow(y, 2) + std::pow(z, 2));
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return mag;
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}
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Point operator-(const Point& other){
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return Point(this->x - other.x, this->y - other.y, this->z - other.z);
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}
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Point operator*(const float mul){
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return Point(this->x * mul, this->y * mul, this->z * mul);
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}
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Point operator+(const Point& other){
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return Point(this->x + other.x, this->y + other.y, this->z + other.z);
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}
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};
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enum Mode {Line, Circle, Fill};
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namespace Ui {
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@ -88,7 +115,16 @@ private:
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int segment_count;
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float rotation_angle;
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Point[8] points;
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Point points[8] = {
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Point(-1.0f, -1.0f, 0.0f),
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Point(1.0f, -1.0f, 0.0f),
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Point(1.0f, 1.0f, 0.0f),
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Point(-1.0f, 1.0f, 0.0f),
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Point(-1.0f, -1.0f, 0.0f),
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Point(1.0f, -1.0f, 0.0f),
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Point(1.0f, 1.0f, 0.0f),
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Point(-1.0f, 1.0f, 0.0f),
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};
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std::vector<float> scale_vec;
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std::vector<float> translation_vec;
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std::vector<float> sh_vec;
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@ -113,10 +149,12 @@ private:
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void DrawS(float s);
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void DrawV(float v);
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void DrawLine(int x1, int y1, int x2, int y2, QImage *img);
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QColor GetPixel(QImage* img, int x, int y);
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void DrawPixel(QImage* img, int x, int y, QColor color);
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QColor GetInterpolatedColor(float x, float y);
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void UpdateImage();
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std::vector<float> GetXY(Point p, std::vector<float> m);
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// Deklaracje slotow, czyli funkcji wywolywanych
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// po wystapieniu zdarzen zwiazanych z GUI
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