Определить находится ли точка внутри прямоугольника - C (СИ)
Формулировка задачи:
нужно определить находится ли точка внутри прямоугольника, прямоугольник может быть не параллелен оси координат и буквы вершин могут быть рандомно расположены ABCD
Решение задачи: «Определить находится ли точка внутри прямоугольника»
textual
Листинг программы
// vodilov.cpp: .
//
#include "stdafx.h"
#include "math.h"
#include "testing.h"
int _tmain(int argc, _TCHAR* argv[])
{
int x_m, y_m, x_a, y_a, x_b, y_b, x_c, y_c, x_d, y_d;
double S_p, S_t1, S_t2, S_t3, S_t4, S_t5;
input_printf ( "Vvedite coordinati" );
scanf ("%d", "%d", "%d", "%d", "%d", "%d", "%d", "%d", "%d", "%d", &x_m, &y_m, &x_a, &y_a, &x_b, &y_b, &x_c, &y_c, &x_d, &y_d);
if ( x_m<-1000 || x_m>1000 || y_m<-1000 || y_m>1000 || x_a<-1000 || x_a>1000 || y_a<-1000 || y_a>1000 || x_b<-1000 || x_b>1000 || y_b<-1000 || y_b>1000 || x_c<-1000 || x_c>1000 || y_c<-1000 || y_c>1000 || x_d<-1000 || x_d>1000 || y_d<-1000 || y_d>1000)
{
error_printf("Coordinati ne v diapozone");
}
else
if ((x_a==x_b && x_d==x_c && y_a==y_d && y_b==y_c) && (x_m>=x_a && x_m<=x_b && y_m<=y_a && y_m>=y_d))// ABCD
{
S_p=(fabs(double((x_a*y_b-y_a*x_b)+(x_b*y_c-y_b*x_c)+(x_c*y_d-y_c*x_d)+(x_d*y_a-y_d*x_a))));
S_t1=0,5*((x_a-x_m)*(y_b-y_m)-(x_b-x_m)*(y_a-y_m));
S_t2=0,5*((x_b-x_m)*(y_c-y_m)-(x_c-x_m)*(y_b-y_m));
S_t3=0,5*((x_c-x_m)*(y_d-y_m)-(x_d-x_m)*(y_c-y_m));
S_t4=0,5*((x_d-x_m)*(y_a-y_m)-(x_a-x_m)*(y_d-y_m));
S_t5=S_t1+S_t2+S_t3+S_t4;
}
if ((x_a==x_b && x_d==x_c && y_a==y_c && y_b==y_d) && (x_m>=x_a && x_m<=x_b && y_m<=y_a && y_m>=y_c))// ABDC
{
S_p=(fabs(double((x_a*y_b-y_a*x_b)+(x_b*y_d-y_b*x_d)+(x_d*y_c-y_d*x_c)+(x_c*y_a-y_c*x_a))));
S_t1=0,5*((x_a-x_m)*(y_b-y_m)-(x_b-x_m)*(y_a-y_m));
S_t2=0,5*((x_b-x_m)*(y_d-y_m)-(x_d-x_m)*(y_b-y_m));
S_t3=0,5*((x_d-x_m)*(y_c-y_m)-(x_c-x_m)*(y_d-y_m));
S_t4=0,5*((x_c-x_m)*(y_a-y_m)-(x_a-x_m)*(y_c-y_m));
S_t5=S_t1+S_t2+S_t3+S_t4;
}
if ((x_a==x_c && x_d==x_b && y_a==y_d && y_b==y_c) && (x_m>=x_a && x_m<=x_c && y_m<=y_a && y_m>=y_d))// ACBD
{
S_p=(fabs(double((x_a*y_b-y_a*x_b)+(x_c*y_b-y_c*x_b)+(x_b*y_d-y_b*x_d)+(x_d*y_a-y_d*x_a))));
S_t1=0,5*((x_a-x_m)*(y_c-y_m)-(x_c-x_m)*(y_a-y_m));
S_t2=0,5*((x_c-x_m)*(y_b-y_m)-(x_b-x_m)*(y_c-y_m));
S_t3=0,5*((x_b-x_m)*(y_d-y_m)-(x_d-x_m)*(y_b-y_m));
S_t4=0,5*((x_d-x_m)*(y_a-y_m)-(x_a-x_m)*(y_d-y_m));
S_t5=S_t1+S_t2+S_t3+S_t4;
}
if ((x_a==x_d && x_b==x_c && y_a==y_b && y_c==y_d) && (x_m>=x_a && x_m<=x_d && y_m<=y_a && y_m>=y_b))// ADCB
{
S_p=(fabs(double((x_a*y_d-y_a*x_d)+(x_d*y_c-y_d*x_c)+(x_c*y_b-y_c*x_b)+(x_b*y_a-y_b*x_a))));
S_t1=0,5*((x_a-x_m)*(y_d-y_m)-(x_d-x_m)*(y_a-y_m));
S_t2=0,5*((x_d-x_m)*(y_c-y_m)-(x_c-x_m)*(y_d-y_m));
S_t3=0,5*((x_c-x_m)*(y_b-y_m)-(x_b-x_m)*(y_c-y_m));
S_t4=0,5*((x_b-x_m)*(y_a-y_m)-(x_a-x_m)*(y_b-y_m));
S_t5=S_t1+S_t2+S_t3+S_t4;
}
if ((x_a==x_d && x_b==x_c && y_a==y_c && y_b==y_d) && (x_m>=x_a && x_m<=x_d && y_m<=y_a && y_m>=y_c))// ADBC
{
S_p=(fabs(double((x_a*y_d-y_a*x_d)+(x_d*y_b-y_d*x_b)+(x_b*y_c-y_b*x_c)+(x_c*y_a-y_c*x_a))));
S_t1=0,5*((x_a-x_m)*(y_b-y_m)-(x_b-x_m)*(y_a-y_m));
S_t2=0,5*((x_b-x_m)*(y_c-y_m)-(x_c-x_m)*(y_b-y_m));
S_t3=0,5*((x_c-x_m)*(y_d-y_m)-(x_d-x_m)*(y_c-y_m));
S_t4=0,5*((x_d-x_m)*(y_a-y_m)-(x_a-x_m)*(y_d-y_m));
S_t5=S_t1+S_t2+S_t3+S_t4;
}
if ((x_a==x_c && x_d==x_b && y_a==y_b && y_c==y_d) && (x_m>=x_a && x_m<=x_b && y_m<=y_a && y_m>=y_b))// ACDB
{
S_p=(fabs(double((x_a*y_c-y_a*x_c)+(x_c*y_d-y_c*x_d)+(x_d*y_b-y_d*x_b)+(x_b*y_a-y_b*x_a))));
S_t1=0,5*((x_a-x_m)*(y_c-y_m)-(x_c-x_m)*(y_a-y_m));
S_t2=0,5*((x_c-x_m)*(y_d-y_m)-(x_d-x_m)*(y_c-y_m));
S_t3=0,5*((x_d-x_m)*(y_b-y_m)-(x_b-x_m)*(y_b-y_m));
S_t4=0,5*((x_b-x_m)*(y_a-y_m)-(x_a-x_m)*(y_b-y_m));
S_t5=S_t1+S_t2+S_t3+S_t4;
}
if ((x_b==x_a && x_d==x_c && y_b==y_d && y_a==y_c) && (x_m>=x_b && x_m<=x_a && y_m<=y_b && y_m>=y_d))// BACD
{
S_p=(fabs(double((x_b*y_a-y_b*x_a)+(x_a*y_c-y_a*x_c)+(x_c*y_d-y_c*x_d)+(x_d*y_b-y_d*x_b))));
S_t1=0,5*((x_b-x_m)*(y_a-y_m)-(x_a-x_m)*(y_b-y_m));
S_t2=0,5*((x_a-x_m)*(y_c-y_m)-(x_c-x_m)*(y_a-y_m));
S_t3=0,5*((x_c-x_m)*(y_d-y_m)-(x_d-x_m)*(y_c-y_m));
S_t4=0,5*((x_d-x_m)*(y_b-y_m)-(x_b-x_m)*(y_d-y_m));
S_t5=S_t1+S_t2+S_t3+S_t4;
}
if ((x_b==x_a && x_d==x_c && y_b==y_c && y_d==y_a) && (x_m>=x_b && x_m<=x_a && y_m<=y_b && y_m>=y_c))// BADC
{
S_p=(fabs(double((x_b*y_a-y_b*x_a)+(x_a*y_d-y_a*x_d)+(x_d*y_c-y_d*x_c)+(x_c*y_b-y_c*x_b))));
S_t1=0,5*((x_b-x_m)*(y_a-y_m)-(x_a-x_m)*(y_b-y_m));
S_t2=0,5*((x_a-x_m)*(y_d-y_m)-(x_d-x_m)*(y_a-y_m));
S_t3=0,5*((x_d-x_m)*(y_c-y_m)-(x_c-x_m)*(y_c-y_m));
S_t4=0,5*((x_c-x_m)*(y_b-y_m)-(x_b-x_m)*(y_c-y_m));
S_t5=S_t1+S_t2+S_t3+S_t4;
}
if ((x_b==x_d && x_a==x_c && y_b==y_a && y_d==y_c) && (x_m>=x_b && x_m<=x_d && y_m<=y_b && y_m>=y_a))// BDCA
{
S_p=(fabs(double((x_b*y_d-y_b*x_d)+(x_d*y_c-y_d*x_c)+(x_c*y_a-y_c*x_a)+(x_a*y_b-y_a*x_b))));
S_t1=0,5*((x_b-x_m)*(y_d-y_m)-(x_d-x_m)*(y_b-y_m));
S_t2=0,5*((x_d-x_m)*(y_c-y_m)-(x_c-x_m)*(y_d-y_m));
S_t3=0,5*((x_c-x_m)*(y_a-y_m)-(x_a-x_m)*(y_c-y_m));
S_t4=0,5*((x_a-x_m)*(y_b-y_m)-(x_b-x_m)*(y_a-y_m));
S_t5=S_t1+S_t2+S_t3+S_t4;
}
if ((x_b==x_d && x_a==x_c && y_b==y_c && y_a==y_d) && (x_m>=x_b && x_m<=x_d && y_m<=y_b && y_m>=y_c))// BDAC
{
S_p=(fabs(double((x_b*y_d-y_b*x_d)+(x_d*y_a-y_d*x_a)+(x_a*y_c-y_a*x_c)+(x_c*y_b-y_c*x_b))));
S_t1=0,5*((x_b-x_m)*(y_d-y_m)-(x_d-x_m)*(y_b-y_m));
S_t2=0,5*((x_d-x_m)*(y_a-y_m)-(x_a-x_m)*(y_d-y_m));
S_t3=0,5*((x_a-x_m)*(y_c-y_m)-(x_c-x_m)*(y_a-y_m));
S_t4=0,5*((x_c-x_m)*(y_b-y_m)-(x_b-x_m)*(y_c-y_m));
S_t5=S_t1+S_t2+S_t3+S_t4;
}
if ((x_b==x_c && x_d==x_a && y_b==y_d && y_a==y_c) && (x_m>=x_b && x_m<=x_c && y_m<=y_b && y_m>=y_d))// BCAD
{
S_p=(fabs(double((x_b*y_c-y_b*x_c)+(x_c*y_a-y_c*x_a)+(x_a*y_d-y_a*x_d)+(x_d*y_b-y_d*x_b))));
S_t1=0,5*((x_b-x_m)*(y_c-y_m)-(x_c-x_m)*(y_b-y_m));
S_t2=0,5*((x_c-x_m)*(y_a-y_m)-(x_a-x_m)*(y_c-y_m));
S_t3=0,5*((x_a-x_m)*(y_d-y_m)-(x_d-x_m)*(y_a-y_m));
S_t4=0,5*((x_d-x_m)*(y_b-y_m)-(x_b-x_m)*(y_d-y_m));
S_t5=S_t1+S_t2+S_t3+S_t4;
}
if ((x_b==x_c && x_a==x_d && y_b==y_a && y_d==y_c) && (x_m>=x_b && x_m<=x_c && y_m<=y_b && y_m>=y_a))// BCDA
{
S_p=(fabs(double((x_b*y_c-y_b*x_c)+(x_c*y_d-y_c*x_d)+(x_d*y_a-y_d*x_a)+(x_a*y_b-y_a*x_b))));
S_t1=0,5*((x_b-x_m)*(y_c-y_m)-(x_c-x_m)*(y_b-y_m));
S_t2=0,5*((x_c-x_m)*(y_d-y_m)-(x_d-x_m)*(y_d-y_m));
S_t3=0,5*((x_d-x_m)*(y_a-y_m)-(x_a-x_m)*(y_d-y_m));
S_t4=0,5*((x_a-x_m)*(y_b-y_m)-(x_b-x_m)*(y_a-y_m));
S_t5=S_t1+S_t2+S_t3+S_t4;
}
if ((x_c==x_a && x_d==x_b && y_c==y_d && y_a==y_b) && (x_m>=x_c && x_m<=x_a && y_m<=y_c && y_m>=y_d))// CABD
{
S_p=(fabs(double((x_c*y_a-y_c*x_a)+(x_a*y_b-y_a*x_b)+(x_b*y_d-y_b*x_d)+(x_d*y_c-y_d*x_c))));
S_t1=0,5*((x_c-x_m)*(y_a-y_m)-(x_a-x_m)*(y_c-y_m));
S_t2=0,5*((x_a-x_m)*(y_b-y_m)-(x_b-x_m)*(y_a-y_m));
S_t3=0,5*((x_b-x_m)*(y_d-y_m)-(x_d-x_m)*(y_b-y_m));
S_t4=0,5*((x_d-x_m)*(y_c-y_m)-(x_c-x_m)*(y_d-y_m));
S_t5=S_t1+S_t2+S_t3+S_t4;
}
if ((x_c==x_a && x_d==x_b && y_c==y_b && y_a==y_d) && (x_m>=x_c && x_m<=x_a && y_m<=y_c && y_m>=y_b))// CADB
{
S_p=(fabs(double((x_c*y_a-y_c*x_a)+(x_a*y_d-y_a*x_d)+(x_d*y_b-y_d*x_b)+(x_b*y_c-y_b*x_c))));
S_t1=0,5*((x_c-x_m)*(y_a-y_m)-(x_a-x_m)*(y_c-y_m));
S_t2=0,5*((x_a-x_m)*(y_d-y_m)-(x_d-x_m)*(y_a-y_m));
S_t3=0,5*((x_d-x_m)*(y_b-y_m)-(x_b-x_m)*(y_d-y_m));
S_t4=0,5*((x_b-x_m)*(y_c-y_m)-(x_c-x_m)*(y_b-y_m));
S_t5=S_t1+S_t2+S_t3+S_t4;
}
if ((x_c==x_d && x_a==x_b && y_c==y_b && y_a==y_d) && (x_m>=x_c && x_m<=x_d && y_m<=y_c && y_m>=y_b))// CDAB
{
S_p=(fabs(double((x_c*y_d-y_c*x_d)+(x_d*y_a-y_d*x_a)+(x_a*y_b-y_a*x_b)+(x_b*y_c-y_b*x_c))));
S_t1=0,5*((x_c-x_m)*(y_d-y_m)-(x_d-x_m)*(y_c-y_m));
S_t2=0,5*((x_d-x_m)*(y_a-y_m)-(x_a-x_m)*(y_d-y_m));
S_t3=0,5*((x_a-x_m)*(y_b-y_m)-(x_b-x_m)*(y_a-y_m));
S_t4=0,5*((x_b-x_m)*(y_c-y_m)-(x_c-x_m)*(y_b-y_m));
S_t5=S_t1+S_t2+S_t3+S_t4;
}
if ((x_c==x_d && x_a==x_b && y_c==y_a && y_d==y_b) && (x_m>=x_c && x_m<=x_d && y_m<=y_c && y_m>=y_a))// CDBA
{
S_p=(fabs(double((x_c*y_d-y_c*x_d)+(x_d*y_b-y_d*x_b)+(x_b*y_a-y_b*x_a)+(x_a*y_c-y_a*x_c))));
S_t1=0,5*((x_c-x_m)*(y_d-y_m)-(x_d-x_m)*(y_c-y_m));
S_t2=0,5*((x_d-x_m)*(y_b-y_m)-(x_b-x_m)*(y_d-y_m));
S_t3=0,5*((x_b-x_m)*(y_a-y_m)-(x_a-x_m)*(y_b-y_m));
S_t4=0,5*((x_a-x_m)*(y_c-y_m)-(x_c-x_m)*(y_a-y_m));
S_t5=S_t1+S_t2+S_t3+S_t4;
}
if ((x_c==x_d && x_a==x_b && y_c==y_a && y_d==y_b) && (x_m>=x_c && x_m<=x_d && y_m<=y_c && y_m>=y_a))// CBDA
{
S_p=(fabs(double((x_c*y_b-y_c*x_b)+(x_b*y_d-y_b*x_d)+(x_d*y_a-y_d*x_a)+(x_a*y_c-y_a*x_c))));
S_t1=0,5*((x_c-x_m)*(y_b-y_m)-(x_b-x_m)*(y_c-y_m));
S_t2=0,5*((x_b-x_m)*(y_d-y_m)-(x_d-x_m)*(y_b-y_m));
S_t3=0,5*((x_d-x_m)*(y_a-y_m)-(x_a-x_m)*(y_d-y_m));
S_t4=0,5*((x_a-x_m)*(y_c-y_m)-(x_c-x_m)*(y_a-y_m));
S_t5=S_t1+S_t2+S_t3+S_t4;
}
if ((x_c==x_b && x_a==x_d && y_c==y_d && y_b==y_a) && (x_m>=x_c && x_m<=x_b && y_m<=y_c && y_m>=y_d))// CBAD
{
S_p=(fabs(double((x_c*y_b-y_c*x_b)+(x_b*y_a-y_b*x_a)+(x_a*y_d-y_a*x_d)+(x_d*y_c-y_d*x_c))));
S_t1=0,5*((x_c-x_m)*(y_b-y_m)-(x_b-x_m)*(y_c-y_m));
S_t2=0,5*((x_b-x_m)*(y_a-y_m)-(x_a-x_m)*(y_b-y_m));
S_t3=0,5*((x_a-x_m)*(y_d-y_m)-(x_d-x_m)*(y_a-y_m));
S_t4=0,5*((x_d-x_m)*(y_c-y_m)-(x_c-x_m)*(y_d-y_m));
S_t5=S_t1+S_t2+S_t3+S_t4;
}
if ((x_d==x_b && x_c==x_a && y_d==y_c && y_b==y_a) && (x_m>=x_d && x_m<=x_b && y_m<=y_d && y_m>=y_c))// DBAC
{
S_p=(fabs(double((x_d*y_b-y_d*x_b)+(x_b*y_a-y_b*x_a)+(x_a*y_c-y_a*x_c)+(x_c*y_d-y_c*x_d))));
S_t1=0,5*((x_d-x_m)*(y_b-y_m)-(x_b-x_m)*(y_d-y_m));
S_t2=0,5*((x_b-x_m)*(y_a-y_m)-(x_a-x_m)*(y_b-y_m));
S_t3=0,5*((x_a-x_m)*(y_c-y_m)-(x_c-x_m)*(y_a-y_m));
S_t4=0,5*((x_c-x_m)*(y_d-y_m)-(x_d-x_m)*(y_c-y_m));
S_t5=S_t1+S_t2+S_t3+S_t4;
}
if ((x_d==x_b && x_c==x_a && y_d==y_a && y_b==y_c) && (x_m>=x_d && x_m<=x_b && y_m<=y_d && y_m>=y_a))// DBCA
{
S_p=(fabs(double((x_d*y_b-y_d*x_b)+(x_b*y_c-y_b*x_c)+(x_c*y_a-y_c*x_a)+(x_a*y_d-y_a*x_d))));
S_t1=0,5*((x_d-x_m)*(y_b-y_m)-(x_b-x_m)*(y_d-y_m));
S_t2=0,5*((x_b-x_m)*(y_c-y_m)-(x_c-x_m)*(y_b-y_m));
S_t3=0,5*((x_c-x_m)*(y_a-y_m)-(x_a-x_m)*(y_c-y_m));
S_t4=0,5*((x_a-x_m)*(y_d-y_m)-(x_d-x_m)*(y_a-y_m));
S_t5=S_t1+S_t2+S_t3+S_t4;
}
if ((x_d==x_a && x_c==x_b && y_d==y_b && y_a==y_c) && (x_m>=x_d && x_m<=x_a && y_m<=y_d && y_m>=y_b))// DACB
{
S_p=(fabs(double((x_d*y_a-y_d*x_a)+(x_a*y_c-y_a*x_c)+(x_c*y_d-y_c*x_d)+(x_b*y_d-y_b*x_d))));
S_t1=0,5*((x_d-x_m)*(y_a-y_m)-(x_a-x_m)*(y_d-y_m));
S_t2=0,5*((x_a-x_m)*(y_c-y_m)-(x_c-x_m)*(y_a-y_m));
S_t3=0,5*((x_c-x_m)*(y_b-y_m)-(x_b-x_m)*(y_c-y_m));
S_t4=0,5*((x_b-x_m)*(y_d-y_m)-(x_d-x_m)*(y_b-y_m));
S_t5=S_t1+S_t2+S_t3+S_t4;
}
if ((x_d==x_a && x_c==x_b && y_d==y_c && y_b==y_a) && (x_m>=x_d && x_m<=x_a && y_m<=y_d && y_m>=y_c))// DABC
{
S_p=(fabs(double((x_d*y_a-y_d*x_a)+(x_a*y_b-y_a*x_b)+(x_b*y_c-y_b*x_c)+(x_c*y_d-y_c*x_d))));
S_t1=0,5*((x_d-x_m)*(y_a-y_m)-(x_a-x_m)*(y_d-y_m));
S_t2=0,5*((x_a-x_m)*(y_b-y_m)-(x_b-x_m)*(y_a-y_m));
S_t3=0,5*((x_b-x_m)*(y_c-y_m)-(x_c-x_m)*(y_b-y_m));
S_t4=0,5*((x_c-x_m)*(y_d-y_m)-(x_d-x_m)*(y_c-y_m));
S_t5=S_t1+S_t2+S_t3+S_t4;
}
if ((x_d==x_c && x_b==x_a && y_d==y_b && y_c==y_a) && (x_m>=x_d && x_m<=x_c && y_m<=y_d && y_m>=y_b))// DCAB
{
S_p=(fabs(double((x_d*y_c-y_d*x_c)+(x_c*y_a-y_c*x_a)+(x_a*y_b-y_a*x_b)+(x_b*y_d-y_b*x_d))));
S_t1=0,5*((x_d-x_m)*(y_c-y_m)-(x_c-x_m)*(y_d-y_m));
S_t2=0,5*((x_c-x_m)*(y_a-y_m)-(x_a-x_m)*(y_c-y_m));
S_t3=0,5*((x_a-x_m)*(y_b-y_m)-(x_b-x_m)*(y_a-y_m));
S_t4=0,5*((x_b-x_m)*(y_d-y_m)-(x_d-x_m)*(y_b-y_m));
S_t5=S_t1+S_t2+S_t3+S_t4;
}
if ((x_d==x_c && x_a==x_b && y_d==y_a && y_c==y_b) && (x_m>=x_d && x_m<=x_c && y_m<=y_d && y_m>=y_a))// DCAB
{
S_p=(fabs(double((x_d*y_c-y_d*x_c)+(x_c*y_a-y_c*x_a)+(x_a*y_b-y_a*x_b)+(x_b*y_d-y_b*x_d))));
S_t1=0,5*((x_d-x_m)*(y_c-y_m)-(x_c-x_m)*(y_d-y_m));
S_t2=0,5*((x_c-x_m)*(y_a-y_m)-(x_a-x_m)*(y_c-y_m));
S_t3=0,5*((x_a-x_m)*(y_b-y_m)-(x_b-x_m)*(y_a-y_m));
S_t4=0,5*((x_b-x_m)*(y_d-y_m)-(x_d-x_m)*(y_b-y_m));
S_t5=S_t1+S_t2+S_t3+S_t4;
}
if (S_t5==S_p)
{
printf("Tochka vnutri chetirehugolnika");
}
else
{
printf("Tochka snaryzhi chetirehugolnika");
}
WAIT_ANY_KEY
return 0;
}
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