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main.cpp
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main.cpp
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#include <iostream>
#include <math.h>
using namespace std;
void triangle_solver(float*,float*,float*,float*,float*,float*);
//Prototype function for solving triangles, 6 floats for 3 sides and 3 angles
int main()
{
float a1 = 165.740769016;
float a2 = 4.60327339313;
float a3 = 0;
float s1 = 2094.57510632;
float s2 = 0;
float s3 = 0;
triangle_solver(&a1,&a2,&a3,&s1,&s2,&s3);
cout << "Done" << endl;
return 0;
}
void triangle_solver(float *a1,float *a2,float *a3,float *s1,float *s2, float *s3)
{
//BASIC SOLVING METHODS
//SSS - 3 sides and no angles
if(!*a1&&!*a2&&!*a3&&*s1&&*s2&&*s3)
{
cout << s2 << endl;
*a1=acos((pow(*s2,2)+pow(*s3,2)-pow(*s1,2))/(2*(*s2)*(*s3)));
*a2=acos((pow(*s1,2)+pow(*s3,2)-pow(*s2,2))/(2*(*s1)*(*s3)));
*a3=180-*a1-*a2;
//output results for debug porpoises:
cout << "a1: " << *a1 << endl;
cout << "a2: " << *a2 << endl;
cout << "a3: " << *a3 << endl;
cout << "s1: " << *s1 << endl;
cout << "s2: " << *s2 << endl;
cout << "s3: " << *s3 << endl;
cout << "Done." << endl;
return;
}
if((*s1&&*s2&&*a3)||(*s2&&*s3&&*a1)||(*s1&&*s3&&*a2))
{
//SAS - 2 sides and an included angle
float *a,*b,*c,*alpha,*beta,*gamma;
if(*s1&&*s2&&*a3)
{
a=s1;
b=s2;
c=s3;
alpha=a1;
beta=a2;
gamma=a3;
}
if(*s2&&*s3&&*a1)
{
a=s2;
b=s3;
c=s1;
alpha=a2;
beta=a3;
gamma=a1;
}
if(*s1&&*s3&&*a2)
{
a=s3;
b=s1;
c=s2;
alpha=a3;
beta=a1;
gamma=a2;
}
//Now that a,b,c,alpha,beta,gamma have been declared, we write general equations for those
*c=sqrt(pow(*a,2)+pow(*b,2)-2*(*a)*(*b)*cos(*gamma));
*alpha=acos((pow(*b,2)+pow(*c,2)-pow(*a,2))/2*(*b)*(*c));
*beta=180-*alpha-*gamma;
//output results for debug porpoises:
cout << "a1: " << *a1 << endl;
cout << "a2: " << *a2 << endl;
cout << "a3: " << *a3 << endl;
cout << "s1: " << *s1 << endl;
cout << "s2: " << *s2 << endl;
cout << "s3: " << *s3 << endl;
cout << "Done." << endl;
return;
}
if((*s1&&*s2&&*a1)||(*s2&&*s3&&*a2)||(*s3&&*s1&&*a3))
{
//SSA - 2 sides and a non-included angle
float *a,*b,*c,*alpha,*beta,*gamma;
if(*s1&&*s2&&*a1)
{
a=s3;
b=s1;
c=s2;
alpha=a3;
beta=a1;
gamma=a2;
}
if(*s2&&*s3&&*a2)
{
a=s1;
b=s2;
c=s3;
alpha=a1;
beta=a2;
gamma=a3;
}
if(*s3&&*s1&&*a3)
{
a=s2;
b=s3;
c=s1;
alpha=a2;
beta=a3;
gamma=a1;
}
//Now solve
float D;
D=((*c)/(*b))*sin(*beta);
if(D>1)
{
cout << "No triangle exists." << endl;
}
if(D==1)
{
*gamma=90;
}
if(D<1)
{
*gamma=asin(D);
//we specifically chose gamma to be acute
}
*alpha=180-*beta-*gamma;
*a = ((*b)*(sin(*alpha)/sin(*beta)));
//output results for debug porpoises:
cout << "a1: " << *a1 << endl;
cout << "a2: " << *a2 << endl;
cout << "a3: " << *a3 << endl;
cout << "s1: " << *s1 << endl;
cout << "s2: " << *s2 << endl;
cout << "s3: " << *s3 << endl;
cout << "Done." << endl;
return;
}
if((*a1&&*s3&&*a2)||(*a2&&*s1&&*a3)||(*a1&&*s2&&*a3))
{
//ASA - a side and 2 adjacent angles given
float *a,*b,*c,*alpha,*beta,*gamma;
if(*a1&&*s3&&*a2)
{
a=s1;
b=s2;
c=s3;
alpha=a1;
beta=a2;
gamma=a3;
}
if(*a2&&*s1&&*a3)
{
a=s2;
b=s3;
c=s1;
alpha=a2;
beta=a3;
gamma=a1;
}
if(*a1&&*s2&&*a3)
{
a=s3;
b=s1;
c=s2;
alpha=a3;
beta=a1;
gamma=a2;
}
//Now solve:
*gamma=180-*alpha-*beta;
*a=(*c)*(sin(*alpha)/sin(*gamma));
*b=(*c)*(sin(*beta)/sin(*gamma));
//output results for debug porpoises:
cout << "a1: " << *a1 << endl;
cout << "a2: " << *a2 << endl;
cout << "a3: " << *a3 << endl;
cout << "s1: " << *s1 << endl;
cout << "s2: " << *s2 << endl;
cout << "s3: " << *s3 << endl;
cout << "Done." << endl;
return;
}
if((*a1&&*a2&&*s1)||(*a2&&*a3&&*s2)||(*a3&&*a1&&*s3))
{
//AAS - 1 side, 1 adjacent angle and the opposite angle given
float *a,*b,*c,*alpha,*beta,*gamma;
if(*a1&&*a2&&*s1)
{
alpha=a1;
beta=a2;
gamma=a3;
a=s2;
b=s3;
c=s1;
}
if(*a2&&*a3&&*s2)
{
alpha=a2;
beta=a3;
gamma=a1;
a=s1;
b=s3;
c=s2;
}
if(*a3&&*a1&&*s3)
{
alpha=a1;
beta=a3;
gamma=a2;
a=s1;
b=s2;
c=s3;
}
*gamma=180-(*alpha)-(*beta);
*a=(*c)*(sin(*alpha*M_PI/180)/sin(*gamma*M_PI/180));
*b=(*c)*(sin(*beta*M_PI/180)/sin(*gamma*M_PI/180));
//output results for debug porpoises:
cout << "a1: " << *a1 << endl;
cout << "a2: " << *a2 << endl;
cout << "a3: " << *a3 << endl;
cout << "s1: " << *s1 << endl;
cout << "s2: " << *s2 << endl;
cout << "s3: " << *s3 << endl;
cout << "Done." << endl;
return;
}
if(*a1&&*a2&&*a3&&!*s1&&!*s2&&!*s3)
{
//AAA - impossible
cout << "Not possible." << endl;
//output results for debug porpoises:
cout << "a1: " << *a1 << endl;
cout << "a2: " << *a2 << endl;
cout << "a3: " << *a3 << endl;
cout << "s1: " << *s1 << endl;
cout << "s2: " << *s2 << endl;
cout << "s3: " << *s3 << endl;
cout << "Done." << endl;
return;
}
if(*a1&&*a2&&*a3)
{
float atotal;
atotal = (*a1)+(*a2)+(*a3);
if(atotal!=180)
{
cout << "Error: Angles do not add up to 180 degrees!" << endl;
}
}
//output results for debug porpoises:
cout << "a1: " << *a1 << endl;
cout << "a2: " << *a2 << endl;
cout << "a3: " << *a3 << endl;
cout << "s1: " << *s1 << endl;
cout << "s2: " << *s2 << endl;
cout << "s3: " << *s3 << endl;
cout << "Done." << endl;
}