Homework 6

1,2
/*––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––-*/
/*  This program determines the distance between two points    */
/*  that are specified with latitude and longitude values      */
//Yunfei Pan
#include <stdio.h>
#include <math.h>
#define PI 3.141593
int main(void)
{
/*  Declare variables and function prototype.  */
double lat1, long1, lat2, long2;
double gc_distance(double lat1,double long1, double lat2,double long2);



/*  Get locations of two points.  */
printf("Enter latitude north and longitude west ");
printf("for location 1: \n");
scanf("%lf %lf",&lat1,&long1);
printf("Enter latitude north and longitude west ");
printf("for location 2: \n");
scanf("%lf %lf",&lat2,&long2);


/*  Print great circle distance.  */
printf("Great Circle Distance: %.0f miles \n",
gc_distance(lat1,long1,lat2,long2));
/*  Exit program.  */
return 0;
}
/*–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––*/
/*  This function computes the distance between two            */
/*  points using great circle distances.                       */
double gc_distance(double lat1,double long1,
double lat2,double long2)
{
/*  Declare variables.  */
double rho, phi, theta, gamma, dot, dist1, dist2,x1, y1, z1, x2, y2, z2;
/*  Convert latitude,longitude to rectangular coordinates.  */
rho = 3960;
phi = (90 - lat1)*(PI/180.0);
theta = (360 - long1)*(PI/180.0);
x1 = rho*sin(phi)*cos(theta);
y1 = rho*sin(phi)*sin(theta);
z1 = rho*cos(phi);
phi = (90 - lat2)*(PI/180.0);
theta = (360 - long2)*(PI/180.0);
x2 = rho*sin(phi)*cos(theta);
y2 = rho*sin(phi)*sin(theta);
z2 = rho*cos(phi);
/*  Compute angle between vectors.  */
dot = x1*x2 + y1*y2 + z1*z2;
dist1 = sqrt(x1*x1 + y1*y1 + z1*z1);
dist2 = sqrt(x2*x2 + y2*y2 + z2*z2);
gamma = acos(dot/(dist1*dist2));
/*  Compute and return great circle distance.  */
return gamma*rho;
}



3   n s

/*––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––-*/
/*  This program determines the distance between two points    */
/*  that are specified with latitude and longitude values      */
/*  Yunfei Pan                                                 */
#include <stdio.h>
#include <math.h>
#define PI 3.141593
int main(void)
{
/*  Declare variables and function prototype.  */
double lat1, long1, lat2, long2;
double gc_distance(double lat1,double long1, double lat2,double long2);
 char n1,n2,w1,w2;


/*  Get locations of two points.  */
printf("Enter latitude and longitude west ");
printf("for location 1: \n\n");
scanf("%lf %lf",&lat1,&long1);

printf("Enter latitude n for north or s for south ");
printf("for location 1: \n");

scanf("%s",&n1);
  if(n1=='n'||n1=='N')
  {;}
  else if (n1=='s'||n1=='S')
  lat1*=-1;
  else
   printf("Invalid input");

printf("Enter latitude and longitude west ");
printf("for location 2: \n\n");
scanf("%lf %lf",&lat2,&long2);

printf("Enter latitude n for north or s for south ");
printf("for location 2: \n");

scanf("%s",&n2);
  if(n2=='n'||n2=='N')
  {;}
  else if (n2=='s'||n2=='S')
  lat2*=-1;
  else
   printf("Invalid input");

/*  Print great circle distance.  */
printf("Great Circle Distance: %.0f miles \n",
gc_distance(lat1,long1,lat2,long2));
/*  Exit program.  */
return 0;
}
/*–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––*/
/*  This function computes the distance between two            */
/*  points using great circle distances.                       */






double gc_distance(double lat1,double long1, double lat2,double long2)
{
/*  Declare variables.  */
double rho, phi, theta, gamma, dot, dist1, dist2,x1, y1, z1, x2, y2, z2;
/*  Convert latitude,longitude to rectangular coordinates.  */
rho = 3960;
phi = (90 - lat1)*(PI/180.0);
theta = (360 - long1)*(PI/180.0);
x1 = rho*sin(phi)*cos(theta);
y1 = rho*sin(phi)*sin(theta);
z1 = rho*cos(phi);
phi = (90 - lat2)*(PI/180.0);
theta = (360 - long2)*(PI/180.0);
x2 = rho*sin(phi)*cos(theta);
y2 = rho*sin(phi)*sin(theta);
z2 = rho*cos(phi);
/*  Compute angle between vectors.  */
dot = x1*x2 + y1*y2 + z1*z2;
dist1 = sqrt(x1*x1 + y1*y1 + z1*z1);
dist2 = sqrt(x2*x2 + y2*y2 + z2*z2);
gamma = acos(dot/(dist1*dist2));
/*  Compute and return great circle distance.  */
return gamma*rho;
}


4.   w e
/*––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––-*/
/*  This program determines the distance between two points    */
/*  that are specified with latitude and longitude values      */
/*  Yunfei Pan                      */
#include <stdio.h>
#include <math.h>
#define PI 3.141593
int main(void)
{
/*  Declare variables and function prototype.  */
double lat1, long1, lat2, long2;
double gc_distance(double lat1,double long1, double lat2,double long2);
 char n1,n2,w1,w2;


/*  Get locations of two points.  */
printf("Enter latitude and longitude west ");
printf("for location 1: \n\n");
scanf("%lf %lf",&lat1,&long1);

printf("Enter longitude e for east or w for west ");
printf("for location 1: \n");

scanf("%s",&w1);
if(w1=='w'||w1=='W')
{;}
else if (w1=='e'||w1=='E')
long1=360-long1;
else
 printf("Invalid input");

printf("Enter latitude and longitude west ");
printf("for location 2: \n\n");
scanf("%lf %lf",&lat2,&long2);

printf("Enter longitude e for east or w for  ");
printf("for location 2: \n");

scanf("%s",&w2);
if(w2=='w'||w2=='W')
{;}
else if (w2=='e'||w2=='E')
long2=360-long2;
else
 printf("Invalid input");
/*  Print great circle distance.  */
printf("Great Circle Distance: %.0f miles \n",
gc_distance(lat1,long1,lat2,long2));
/*  Exit program.  */
return 0;
}
/*–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––*/
/*  This function computes the distance between two            */
/*  points using great circle distances.                       */





double gc_distance(double lat1,double long1, double lat2,double long2)
{
/*  Declare variables.  */
double rho, phi, theta, gamma, dot, dist1, dist2,x1, y1, z1, x2, y2, z2;
/*  Convert latitude,longitude to rectangular coordinates.  */
rho = 3960;
phi = (90 - lat1)*(PI/180.0);
theta = (360 - long1)*(PI/180.0);
x1 = rho*sin(phi)*cos(theta);
y1 = rho*sin(phi)*sin(theta);
z1 = rho*cos(phi);
phi = (90 - lat2)*(PI/180.0);
theta = (360 - long2)*(PI/180.0);
x2 = rho*sin(phi)*cos(theta);
y2 = rho*sin(phi)*sin(theta);
z2 = rho*cos(phi);
/*  Compute angle between vectors.  */
dot = x1*x2 + y1*y2 + z1*z2;
dist1 = sqrt(x1*x1 + y1*y1 + z1*z1);
dist2 = sqrt(x2*x2 + y2*y2 + z2*z2);
gamma = acos(dot/(dist1*dist2));
/*  Compute and return great circle distance.  */
return gamma*rho;
}





5.  n s w e


/*––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––-*/
/*  This program determines the distance between two points    */
/*  that are specified with latitude and longitude values      */
/*  that are in the Northern Hemisphere.                       */
#include <stdio.h>
#include <math.h>
#define PI 3.141593
int main(void)
{
/*  Declare variables and function prototype.  */
double lat1, long1, lat2, long2;
double gc_distance(double lat1,double long1, double lat2,double long2);
 char n1,n2,w1,w2;


/*  Get locations of two points.  */
printf("Enter latitude and longitude west ");
printf("for location 1: \n");
scanf("%lf %lf",&lat1,&long1);

printf("Enter latitude n for north or s for south ");
printf("for location 1: \n");

scanf("%s",&n1);
if(n1=='n'||n1=='N')
{;}
else if (n1=='s'||n1=='S')
lat1*=-1;
else
printf("Invalid input");
 
printf("Enter longitude e for east or w for west ");
printf("for location 1: \n");

scanf("%s",&w1);
if(w1=='w'||w1=='W')
{;}
else if (w1=='e'||w1=='E')
long1=360-long1;
else
 printf("Invalid input");

 
 

printf("\nEnter latitude and longitude  ");
printf("for location 2: \n");
scanf("%lf %lf",&lat2,&long2);

printf("Enter latitude n for north or s for south ");
printf("for location 2: \n");

scanf("%s",&n2);
if(n2=='n'||n2=='N')
  {;}
else if (n2=='s'||n2=='S')
lat2*=-1;
  else
   printf("Invalid input");
   
printf("Enter longitude e for east or w for  ");
printf("for location 2: \n");

scanf("%s",&w2);
if(w2=='w'||w2=='W')
{;}
else if (w2=='e'||w2=='E')
long2=360-long2;
else
 printf("Invalid input");


/*  Print great circle distance.  */
printf("Great Circle Distance: %.0f miles \n",
gc_distance(lat1,long1,lat2,long2));
/*  Exit program.  */
return 0;
}
/*–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––*/
/*  This function computes the distance between two            */
/*  points using great circle distances.                       */





double gc_distance(double lat1,double long1, double lat2,double long2)
{
/*  Declare variables.  */
double rho, phi, theta, gamma, dot, dist1, dist2,x1, y1, z1, x2, y2, z2;
/*  Convert latitude,longitude to rectangular coordinates.  */
rho  = 3960;
phi  = (90 - lat1)*(PI/180.0);
theta= (360 - long1)*(PI/180.0);
x1   = rho*sin(phi)*cos(theta);
y1   = rho*sin(phi)*sin(theta);
z1   = rho*cos(phi);
phi  = (90 - lat2)*(PI/180.0);
theta= (360 - long2)*(PI/180.0);
x2   = rho*sin(phi)*cos(theta);
y2   = rho*sin(phi)*sin(theta);
z2   = rho*cos(phi);
/*  Compute angle between vectors.  */
dot= x1*x2 + y1*y2 + z1*z2;
dist1= sqrt(x1*x1 + y1*y1 + z1*z1);
dist2= sqrt(x2*x2 + y2*y2 + z2*z2);
gamma= acos(dot/(dist1*dist2));
/*  Compute and return great circle distance.  */
return gamma*rho;
}










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