Algorithms_in_C 1.0.0
Set of algorithms implemented in C.
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cartesian_to_polar.c File Reference

Function to convert a Cartesian co-ordinate to polar form. More...

#include <assert.h>
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
Include dependency graph for cartesian_to_polar.c:

Macros

#define _USE_MATH_DEFINES
 required for MS Visual C
 

Functions

void to_polar (double x, double y, double *r, double *theta)
 Function to convert cartesian coordinates to polar.
 
double get_rand (double lim1, double lim2)
 Generate a random number in the given limits.
 
void test ()
 Test implementation.
 
int main ()
 Main function.
 

Detailed Description

Function to convert a Cartesian co-ordinate to polar form.

Function Documentation

◆ get_rand()

double get_rand ( double  lim1,
double  lim2 
)

Generate a random number in the given limits.

Parameters
lim1lower limit
lim2upper limit
Returns
random number in the given range
89{
90 double r = (double)rand() / RAND_MAX; // value in [0,1)
91 return (lim2 - lim1) * r + lim1; // scale to range
92}

◆ main()

int main ( void  )

Main function.

119{
120 test();
121
122 return 0;
123}
void test()
Test implementation.
Definition cartesian_to_polar.c:98
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◆ test()

void test ( void  )

Test implementation.

99{
100 srand(10);
101 int NUM_TESTS = 5;
102
103 for (int i = 0; i < NUM_TESTS; i++)
104 {
105 double r, theta;
106 printf("Test %d.... ", i);
107 double x = get_rand(-5, 5);
108 double y = get_rand(-5, 5);
109 printf("(%.2g, %.2g).... ", x, y);
110 to_polar(x, y, &r, &theta);
111 assert(fabs(r - hypot(x, y)) < 0.01);
112 assert(fabs(theta - atan2(y, x)) < 0.01);
113 printf("passed\n");
114 }
115}
double get_rand(double lim1, double lim2)
Generate a random number in the given limits.
Definition cartesian_to_polar.c:88
void to_polar(double x, double y, double *r, double *theta)
Function to convert cartesian coordinates to polar.
Definition cartesian_to_polar.c:22
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◆ to_polar()

void to_polar ( double  x,
double  y,
double *  r,
double *  theta 
)

Function to convert cartesian coordinates to polar.

\begin{eqnarray*} r &=& \sqrt{x^2+y^2}\\ \theta &=& \atan\frac{y}{x} \end{eqnarray*}

Parameters
[in]xabsicca value
[in]yordinate value
[out]rpointer to store polar radius
[out]thetapointer to store polar angle (in radian)
23{
24 double thetaFinal = 0.f;
25
26 *r = sqrt(x * x + y * y);
27
28 if (x != 0)
29 {
30 if (y != 0)
31 {
32 *theta = atan(y / x);
33 if ((x > 0 && y > 0) || (x == -y))
34 { // Q1
35 thetaFinal = *theta;
36 }
37 else if (x < 0 && y > 0)
38 { // Q2
39 thetaFinal = *theta + M_PI;
40 }
41 else if (x < 0 && y < 0)
42 { // Q3
43 thetaFinal = *theta - M_PI;
44 }
45 else if (x > 0 && y < 0)
46 { // Q4
47 thetaFinal = 2 * M_PI - *theta;
48 }
49 else
50 {
51 fprintf(stderr, "Should not reach here!\n");
52 }
53 }
54 }
55 else
56 { // exceptions when no actual angle is present
57 if (y > 0)
58 {
59 thetaFinal = M_PI / 2;
60 }
61 else
62 {
63 thetaFinal = -(M_PI / 2);
64 }
65 }
66 if (y == 0)
67 {
68 if (x > 0)
69 {
70 thetaFinal = 0;
71 }
72 else
73 {
74 thetaFinal = -M_PI;
75 }
76 }
77
78 *theta = thetaFinal;
79}