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//Modes below the Schroeder Frequency
#include <iostream>
#include <math.h>
#include<string>
using namespace std;
// global variables
double l,w,h,temp,c,m,volume,surfaceArea; int a,i,j,k;
//declaring global arrays
const int NUM=20; // maximum number of modes calculated
double mode[NUM][NUM][NUM];
double obliqueModes(double l, double w, double h, double c, double m)
{
//1 dimension changes per loop
for (int j=1; j<NUM; j++) //makes the constants increase each outer loop
{
for (int i=1; i<NUM; i++) //width and height are constant, length increases by 1 each loop: this loop also includes modes where all 3 counters are the same
{
mode[i][j][j]=c/2*sqrt(pow((i/l),2)+pow((j/w),2)+pow((j/h),2)); //not having the if statement before this allows 1 1 1, 2 2 2 to be calculated
cout<<"oblique width height mode with length changing= "<<i<<" "<<j<<" "<<j<<" , "<<mode[i][j][j]<<" Hz"<<endl;
if (mode[i][j][j]>m)
break;
}
}
for (int j=1; j<NUM; j++) //makes the constants increase each outer loop
{
for (int i=1; i<NUM; i++) //length and height are constant, width increases by 1 each loop
{
if (i>j  i<j) //stops unnecessary calculation of 1,1,1; 2,2,2; etc.
{
mode[j][i][j]=c/2*sqrt(pow((j/l),2)+pow((i/w),2)+pow((j/h),2));
cout<<"oblique length height mode with width changing= "<<j<<" "<<i<<" "<<j<<" , "<<mode[j][i][j]<<" Hz"<<endl;
}
if (mode[j][i][j]>m)
break;
}
}
for (int j=1; j<NUM; j++) //makes the constants increase each outer loop
{
for (int i=1; i<NUM; i++) //length and width are constant, height increases by 1 each loop
{
if (i>j  i<j)
{
mode[j][j][i]=c/2*sqrt(pow((j/l),2)+pow((j/w),2)+pow((i/h),2));
cout<<"oblique length width mode with height changing= "<<j<<" "<<j<<" "<<i<<" , "<<mode[j][j][i]<<" Hz"<<endl;
}
if (mode[j][j][i]>m)
break;
}
}
//2 dimensions change per loop
for (int j=1; j<NUM; j++) //makes the constants increase each outer loop
{
for (int i=1; i<NUM; i++) //length is constant, width and height increases by 1 each loop
{
if (i>j  i<j)
{
mode[j][i][i]=c/2*sqrt(pow((j/l),2)+pow((i/w),2)+pow((i/h),2));
cout<<"oblique length mode with width and height changing= "<<j<<" "<<i<<" "<<i<<" , "<<mode[j][i][i]<<" Hz"<<endl;
}
if (mode[j][i][i]>m)
break;
}
}
for (int j=1; j<NUM; j++) //makes the constants increase each outer loop
{
for (int i=1; i<NUM; i++) //width is constant, length and height increases by 1 each loop
{
if (i>j  i<j)
{
mode[i][j][i]=c/2*sqrt(pow((i/l),2)+pow((j/w),2)+pow((i/h),2));
cout<<"oblique width mode with length and height changing= "<<i<<" "<<j<<" "<<i<<" , "<<mode[i][j][i]<<" Hz"<<endl;
}
if (mode[i][j][i]>m)
break;
}
}
for (int j=1; j<NUM; j++) //makes the constants increase each outer loop
{
for (int i=1; i<NUM; i++) //height is constant, length and width increases by 1 each loop
{
if (i>j  i<j)
{
mode[i][i][j]=c/2*sqrt(pow((i/l),2)+pow((i/w),2)+pow((j/h),2));
cout<<"oblique height mode with length and width changing= "<<i<<" "<<i<<" "<<j<<" , "<<mode[i][i][j]<<" Hz"<<endl;
}
if (mode[i][i][j]>m)
break;
}
}
}
int main ()
{
cout<<"Use this program for a rectangular room to calculate:"<<endl;
cout<<"Modal frequencies below the Shroeder Frequency"<<endl;
cout<<"What is the height of the room?"<<endl;cin>>h;cout<<endl;
cout<<"What is the width of the room?"<<endl;cin>>w;cout<<endl;
cout<<"What is the length of the room?"<<endl;cin>>l;cout<<endl;
// cout<<"What is the temperature of the room in degrees Celsius?"<<endl;cin>>temp;cout<<endl;
cout<<"width= "<<w<<" length= "<<l<<" height="<<h<<endl;
// cout<<"temperature= "<<temp;
//insert "is this correct?" and repeat input option here!!!
c=345;
// c=20.047*pow(273.15+temp,0.5);
volume=w*l*h;
surfaceArea=2*((l*w)+(w*h)+(h*l));
cout<<"The speed of sound is "<<c<<" meters/second"<<endl;
cout<<"The volume of the room is "<<volume<<" cubic meters."<<endl;
cout<<"The surface area of the room is "<<surfaceArea<<" square meters. "<<endl;
m=300; //determines the frequency at which the modes stop being calculated. Will be set to a formula for the schroeder frequency later.
obliqueModes(l,w,h,c,m);
return 0;
}
 