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#include <stdio.h>
#include <stdlib.h>
//I've provided "min" and "max" functions in
//case they are useful to you
int min (int a, int b) {
if (a < b) {
return a;
}
return b;
}
int max (int a, int b) {
if (a > b) {
return a;
}
return b;
}
//Declare your rectangle structure here!
typedef struct rectangle_t {
int x;
int y;
int width;
int height;
} rectangle;
rectangle canonicalize(rectangle r) {
//WRITE THIS FUNCTION
if (r.width < 0) {
r.x = r.x + r.width;
r.width = r.width * (-1);
}
if (r.height < 0) {
r.y = r.y + r.height;
r.height = r.height * (-1);
}
return r;
}
rectangle left_rect(rectangle r1, rectangle r2) {
if (r1.x < r2.x){
return r1;
} else {
return r2;
}
}
rectangle lower_rect(rectangle r1, rectangle r2) {
if (r1.y < r2.y){
return r1;
} else {
return r2;
}
}
rectangle intersection(rectangle r1, rectangle r2) {
//WRITE THIS FUNCTION
r1 = canonicalize(r1);
r2 = canonicalize(r2);
rectangle ans;
ans.x = max(r1.x, r2.x);
ans.y = max(r1.y, r2.y);
// Find the width
// find the rectangle with the smallest x
rectangle left = left_rect(r1, r2);
if (ans.x <= left.x + left.width){
ans.width = min(r1.x + r1.width, r2.x + r2.width) - ans.x;
} else {
ans.width = 0;
ans.height = 0;
return ans;
}
rectangle lower = lower_rect(r1, r2);
if (ans.y <= lower.y + lower.height){
ans.height = min(r1.y + r1.height, r2.y + r2.height) - ans.y;
} else {
ans.height = 0;
ans.width = 0;
return ans;
}
return ans;
}
//You should not need to modify any code below this line
void printRectangle(rectangle r) {
r = canonicalize(r);
if (r.width == 0 && r.height == 0) {
printf("<empty>\n");
}
else {
printf("(%d,%d) to (%d,%d)\n", r.x, r.y,
r.x + r.width, r.y + r.height);
}
}
int main (void) {
rectangle r1;
rectangle r2;
rectangle r3;
rectangle r4;
r1.x = 2;
r1.y = 3;
r1.width = 5;
r1.height = 6;
printf("r1 is ");
printRectangle(r1);
r2.x = 4;
r2.y = 5;
r2.width = -5;
r2.height = -7;
printf("r2 is ");
printRectangle(r2);
r3.x = -2;
r3.y = 7;
r3.width = 7;
r3.height = -10;
printf("r3 is ");
printRectangle(r3);
r4.x = 0;
r4.y = 7;
r4.width = -4;
r4.height = 2;
printf("r4 is ");
printRectangle(r4);
//test everything with r1
rectangle i = intersection(r1,r1);
printf("intersection(r1,r1): ");
printRectangle(i);
i = intersection(r1,r2);
printf("intersection(r1,r2): ");
printRectangle(i);
i = intersection(r1,r3);
printf("intersection(r1,r3): ");
printRectangle(i);
i = intersection(r1,r4);
printf("intersection(r1,r4): ");
printRectangle(i);
//test everything with r2
i = intersection(r2,r1);
printf("intersection(r2,r1): ");
printRectangle(i);
i = intersection(r2,r2);
printf("intersection(r2,r2): ");
printRectangle(i);
i = intersection(r2,r3);
printf("intersection(r2,r3): ");
printRectangle(i);
i = intersection(r2,r4);
printf("intersection(r2,r4): ");
printRectangle(i);
//test everything with r3
i = intersection(r3,r1);
printf("intersection(r3,r1): ");
printRectangle(i);
i = intersection(r3,r2);
printf("intersection(r3,r2): ");
printRectangle(i);
i = intersection(r3,r3);
printf("intersection(r3,r3): ");
printRectangle(i);
i = intersection(r3,r4);
printf("intersection(r3,r4): ");
printRectangle(i);
//test everything with r4
i = intersection(r4,r1);
printf("intersection(r4,r1): ");
printRectangle(i);
i = intersection(r4,r2);
printf("intersection(r4,r2): ");
printRectangle(i);
i = intersection(r4,r3);
printf("intersection(r4,r3): ");
printRectangle(i);
i = intersection(r4,r4);
printf("intersection(r4,r4): ");
printRectangle(i);
return EXIT_SUCCESS;
}
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