C++已知圆弧两点坐标和半径计算圆心坐标(VS+Qt工程)

#include "calcArcCenterPoint.h" calcArcCenterPoint::calcArcCenterPoint(QWidget *parent) : QMainWindow(parent) { ui.setupUi(this); connect(ui.btn_calc, SIGNAL(clicked()), this, SLOT(slotCalcArcCenter())); connect(ui.btn_clear, SIGNAL(clicked()), this, SLOT(slotClear())); } void calcArcCenterPoint::calcArcCenter(Point p1, Point p2,double dRadius, Point & center1,Point & center2) { double k = 0.0, k_verticle = 0.0; double mid_x = 0.0, mid_y = 0.0; double a = 1.0; double b = 1.0; double c = 1.0; k = (p2.y - p1.y) / (p2.x - p1.x); if (k == 0) { center1.x = (p1.x + p2.x) / 2.0; center2.x = (p1.x + p2.x) / 2.0; center1.y = p1.y + sqrt(dRadius * dRadius - (p1.x - p2.x) * (p1.x - p2.x) / 4.0); center2.y = p2.y - sqrt(dRadius * dRadius - (p1.x - p2.x) * (p1.x - p2.x) / 4.0); } else { k_verticle = -1.0 / k; mid_x = (p1.x + p2.x) / 2.0; mid_y = (p1.y + p2.y) / 2.0; a = 1.0 + k_verticle * k_verticle; b = -2 * mid_x - k_verticle * k_verticle * (p1.x + p2.x); c = mid_x * mid_x + k_verticle * k_verticle * (p1.x + p2.x) * (p1.x + p2.x) / 4.0 - (dRadius * dRadius - ((mid_x - p1.x) * (mid_x - p1.x) + (mid_y - p1.y) * (mid_y - p1.y))); center1.x = (-1.0 * b + sqrt(b * b - 4 * a * c)) / (2 * a); center2.x = (-1.0 * b - sqrt(b * b - 4 * a * c)) / (2 * a); center1.y = Y_Coordinates(mid_x, mid_y, k_verticle, center1.x); center2.y = Y_Coordinates(mid_x, mid_y, k_verticle, center2.x); } } bool calcArcCenterPoint::Data_Validation(Point p1, Point p2, double dRadius) { double dDistance = 0.0; dDistance = sqrt((p1.x - p2.x) * (p1.x - p2.x) + (p1.y - p2.y) * (p1.y - p2.y)); if (dDistance == 0.0) { std::cout << "\n输入了相同的点!\n"; return false; } if ((2 * dRadius) >= dDistance) return true; else { std::cout << "\n两点间距离大于直径!\n"; return false; } } double calcArcCenterPoint::Y_Coordinates(double x, double y, double k, double x0) { return k * x0 - k * x + y; } void calcArcCenterPoint::slotClear() { ui.lineEdit_arc1X->clear(); ui.lineEdit_arc1y->clear(); ui.lineEdit_arc2x->clear(); ui.lineEdit_arc2y->clear(); ui.lineEdit_radiu->clear(); ui.lineEdit_resX1->clear(); ui.lineEdit_resY1->clear(); ui.lineEdit_resX2->clear(); ui.lineEdit_resY2->clear(); } void calcArcCenterPoint::slotCalcArcCenter() { //圆弧1坐标 double x1 = ui.lineEdit_arc1X->text().toDouble(); double y1 = ui.lineEdit_arc1y->text().toDouble(); double x2 = ui.lineEdit_arc2x->text().toDouble(); double y2 = ui.lineEdit_arc2y->text().toDouble(); double radiu = ui.lineEdit_radiu->text().toDouble(); Point p1; p1.x = x1; p1.y = y1; Point p2; p2.x = x2; p2.y = y2; Point centerp1; Point centerp2; calcArcCenter(p1,p2, radiu, centerp1, centerp2); ui.lineEdit_resX1->setText(QString::number(centerp1.x)); ui.lineEdit_resY1->setText(QString::number(centerp1.y)); ui.lineEdit_resX2->setText(QString::number(centerp2.x)); ui.lineEdit_resY2->setText(QString::number(centerp2.y)); }