87 lines
2.9 KiB
C
87 lines
2.9 KiB
C
#include <bits/pthreadtypes.h>
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#include <stdio.h>
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#include <stdlib.h>
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#include <math.h>
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#include <stdbool.h>
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#ifdef __PROGTEST__
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#define debug(...) ((void)0)
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#else
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#define debug(fmt, ...) fprintf(stdout, "[%s:%d %s()] " fmt "\n", __FILE__, __LINE__, __func__, ##__VA_ARGS__)
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#endif
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// https://www.geeksforgeeks.org/dsa/area-of-intersection-of-two-circles/
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double intersection_area(double a_r, double b_r, double distance) {
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double a_square = a_r * a_r;
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double b_square = b_r * b_r;
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double distane_square = distance * distance;
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double alpha = acos((distane_square + a_square - b_square) / (2 * a_r * distance)) * 2;
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double beta = acos((distane_square + b_square - a_square) / (2 * b_r * distance)) * 2;
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double a1 = 0.5 * beta * b_square - 0.5 * b_square * sin(beta);
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double a2 = 0.5 * alpha * a_square - 0.5 * a_square * sin(alpha);
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double area = a1 + a2;
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debug("Area = %lf", area);
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return area;
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}
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double circle_area(double radius) {
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return M_PI * radius * radius;
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}
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int main() {
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double a_center_x = 0, a_center_y = 0, a_radius = 0, b_center_x = 0, b_center_y = 0, b_radius = 0;
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printf("Zadejte parametry kruznice #1:\n");
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int inputs_read = scanf("%lf %lf %lf", &a_center_x, &a_center_y, &a_radius);
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if(inputs_read != 3 || a_radius <= 0) {
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printf("Nespravny vstup.\n");
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return EXIT_FAILURE;
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}
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printf("Zadejte parametry kruznice #2:\n");
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inputs_read = scanf("%lf %lf %lf", &b_center_x, &b_center_y, &b_radius);
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if(inputs_read != 3 || b_radius <= 0) {
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printf("Nespravny vstup.\n");
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return EXIT_FAILURE;
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}
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double center_distance = sqrt((b_center_x - a_center_x) * (b_center_x - a_center_x) + (b_center_y - a_center_y) * (b_center_y - a_center_y));
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double radii_sum = a_radius + b_radius;
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if(a_center_x == b_center_x && a_center_y == b_center_y && a_radius == b_radius) {
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printf("Kruznice splyvaji, prekryv: %lf\n", circle_area(a_radius));
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} else if(center_distance <= a_radius - b_radius) {
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debug("B radius = %0.60lf", b_radius);
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debug("Double A radius = %0.60lf", a_radius * 2);
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if(center_distance + b_radius == a_radius) {
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printf("Vnitrni dotyk, kruznice #2 lezi uvnitr kruznice #1, prekryv: %lf\n", circle_area(b_radius));
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} else {
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printf("Kruznice #2 lezi uvnitr kruznice #1, prekryv: %lf\n", circle_area(b_radius));
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}
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} else if(center_distance <= b_radius - a_radius) {
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debug("A radius = %0.60lf", a_radius);
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debug("Double B radius = %0.60lf", b_radius * 2);
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if(center_distance + a_radius == b_radius) {
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printf("Vnitrni dotyk, kruznice #1 lezi uvnitr kruznice #2, prekryv: %lf\n", circle_area(a_radius));
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} else {
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printf("Kruznice #1 lezi uvnitr kruznice #2, prekryv: %lf\n", circle_area(a_radius));
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}
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} else if(center_distance < radii_sum) {
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printf("Kruznice se protinaji, prekryv: %lf\n", intersection_area(a_radius, b_radius, center_distance));
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} else if(center_distance == radii_sum) {
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printf("Vnejsi dotyk, zadny prekryv.\n");
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} else {
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printf("Kruznice lezi vne sebe, zadny prekryv.\n");
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}
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return EXIT_SUCCESS;
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}
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