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Created perimeter.cpp

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Mohammad Islam
2022-01-29 02:22:45 -07:00
parent 51ad825981
commit cdfc486dd1
4 changed files with 120 additions and 99 deletions
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math/perimeter.cpp
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@@ -1,9 +1,9 @@
/**
* @file
* @brief Implementations for the [area](https://en.wikipedia.org/wiki/Perimeter) of
* @brief Implementations for the [perimeter](https://en.wikipedia.org/wiki/Perimeter) of
* various shapes
* @details The area of a shape is the amount of 2D space it takes up.
* All shapes have a formula to get the area of any given shape.
* @details The of a shape is the amount of 2D space it takes up.
* All shapes have a formula to get the perimeter of any given shape.
* These implementations support multiple return types.
*
* @author [OGscorpion](https://github.com/OGscorpion)
@@ -21,93 +21,90 @@
*/
namespace math {
/**
* @brief area of a [square](https://en.wikipedia.org/wiki/Square) (l * l)
* @brief perimeter of a [square](https://en.wikipedia.org/wiki/Square) (4 * l)
* @param length is the length of the square
* @returns area of square
* @returns perimeter of square
*/
template <typename T>
T square_area(T length) {
return length * length;
T square_perimeter(T length) {
return 4 * length;
}
/**
* @brief area of a [rectangle](https://en.wikipedia.org/wiki/Rectangle) (l * w)
* @brief perimeter of a [rectangle](https://en.wikipedia.org/wiki/Rectangle) ( 2(l * w) )
* @param length is the length of the rectangle
* @param width is the width of the rectangle
* @returns area of the rectangle
* @returns perimeter of the rectangle
*/
template <typename T>
T rect_area(T length, T width) {
return length * width;
T rect_perimeter(T length, T width) {
return 2 * (length + width);
}
/**
* @brief area of a [triangle](https://en.wikipedia.org/wiki/Triangle) (b * h /
* 2)
* @brief perimeter of a [triangle](https://en.wikipedia.org/wiki/Triangle) (a + b + c)
* @param base is the length of the bottom side of the triangle
* @param height is the length of the tallest point in the triangle
* @returns area of the triangle
* @returns perimeter of the triangle
*/
template <typename T>
T triangle_area(T base, T height) {
return base * height / 2;
T triangle_perimeter(T base, T height, T hypotenuse) {
return base + height + hypotenuse;
}
/**
* @brief area of a [circle](https://en.wikipedia.org/wiki/Area_of_a_circle) (pi
* * r^2)
* @brief perimeter of a [circle](https://en.wikipedia.org/wiki/perimeter_of_a_circle) (2 * pi * r)
* @param radius is the radius of the circle
* @returns area of the circle
* @returns perimeter of the circle
*/
template <typename T>
T circle_area(T radius) {
return M_PI * pow(radius, 2);
T circle_perimeter(T radius) {
return 2 * M_PI * radius;
}
/**
* @brief area of a [parallelogram](https://en.wikipedia.org/wiki/Parallelogram)
* (b * h)
* @brief perimeter of a [parallelogram](https://en.wikipedia.org/wiki/Parallelogram)
* 2(b + h)
* @param base is the length of the bottom side of the parallelogram
* @param height is the length of the tallest point in the parallelogram
* @returns area of the parallelogram
* @returns perimeter of the parallelogram
*/
template <typename T>
T parallelogram_area(T base, T height) {
return base * height;
T parallelogram_perimeter(T base, T height) {
return 2 * (base + height);
}
/**
* @brief surface area of a [cube](https://en.wikipedia.org/wiki/Cube) ( 6 * (l
* * l))
* @brief surface perimeter of a [cube](https://en.wikipedia.org/wiki/Cube) ( 12 * l)
* @param length is the length of the cube
* @returns surface area of the cube
* @returns surface perimeter of the cube
*/
template <typename T>
T cube_surface_area(T length) {
return 6 * length * length;
T cube_surface_perimeter(T length) {
return 12 * length;
}
/**
* @brief surface area of a [sphere](https://en.wikipedia.org/wiki/Sphere) ( 4 *
* pi * r^2)
* @param radius is the radius of the sphere
* @returns surface area of the sphere
* @brief surface perimeter of a [n-polygon](https://www.cuemath.com/measurement/perimeter-of-polygon/) ( n * l)
* @param length is the length of the polygon
* @param sides is the number of sides of the polygon
* @returns surface perimeter of the polygon
*/
template <typename T>
T sphere_surface_area(T radius) {
return 4 * M_PI * pow(radius, 2);
T n_polygon_surface_perimeter(T sides, T length) {
return sides * length;
}
/**
* @brief surface area of a [cylinder](https://en.wikipedia.org/wiki/Cylinder)
* (2 * pi * r * h + 2 * pi * r^2)
* @brief surface perimeter of a [cylinder](https://en.wikipedia.org/wiki/Cylinder)
* (2 * radius + 2 * height)
* @param radius is the radius of the cylinder
* @param height is the height of the cylinder
* @returns surface area of the cylinder
* @returns surface perimeter of the cylinder
*/
template <typename T>
T cylinder_surface_area(T radius, T height) {
return 2 * M_PI * radius * height + 2 * M_PI * pow(radius, 2);
T cylinder_surface_perimeter(T radius, T height) {
return (2 * radius) + (2 * height);
}
} // namespace math
@@ -121,151 +118,155 @@ static void test() {
uint16_t int_width = 0; // 16 bit integer width input
uint16_t int_base = 0; // 16 bit integer base input
uint16_t int_height = 0; // 16 bit integer height input
uint16_t int_hypotenuse = 0; // 16 bit integer hypotenuse input
uint16_t int_sides = 0; // 16 bit integer sides input
uint16_t int_expected = 0; // 16 bit integer expected output
uint16_t int_area = 0; // 16 bit integer output
uint16_t int_perimeter = 0; // 16 bit integer output
float float_length = NAN; // float length input
float float_expected = NAN; // float expected output
float float_area = NAN; // float output
float float_perimeter = NAN; // float output
double double_length = NAN; // double length input
double double_width = NAN; // double width input
double double_radius = NAN; // double radius input
double double_height = NAN; // double height input
double double_expected = NAN; // double expected output
double double_area = NAN; // double output
double double_perimeter = NAN; // double output
// 1st test
int_length = 5;
int_expected = 25;
int_area = math::square_area(int_length);
int_expected = 20;
int_perimeter = math::square_perimeter(int_length);
std::cout << "AREA OF A SQUARE (int)" << std::endl;
std::cout << "perimeter OF A SQUARE (int)" << std::endl;
std::cout << "Input Length: " << int_length << std::endl;
std::cout << "Expected Output: " << int_expected << std::endl;
std::cout << "Output: " << int_area << std::endl;
assert(int_area == int_expected);
std::cout << "Output: " << int_perimeter << std::endl;
assert(int_perimeter == int_expected);
std::cout << "TEST PASSED" << std::endl << std::endl;
// 2nd test
float_length = 2.5;
float_expected = 6.25;
float_area = math::square_area(float_length);
float_expected = 10;
float_perimeter = math::square_perimeter(float_length);
std::cout << "AREA OF A SQUARE (float)" << std::endl;
std::cout << "perimeter OF A SQUARE (float)" << std::endl;
std::cout << "Input Length: " << float_length << std::endl;
std::cout << "Expected Output: " << float_expected << std::endl;
std::cout << "Output: " << float_area << std::endl;
assert(float_area == float_expected);
std::cout << "Output: " << float_perimeter << std::endl;
assert(float_perimeter == float_expected);
std::cout << "TEST PASSED" << std::endl << std::endl;
// 3rd test
int_length = 4;
int_width = 7;
int_expected = 28;
int_area = math::rect_area(int_length, int_width);
int_expected = 22;
int_perimeter = math::rect_perimeter(int_length, int_width);
std::cout << "AREA OF A RECTANGLE (int)" << std::endl;
std::cout << "perimeter OF A RECTANGLE (int)" << std::endl;
std::cout << "Input Length: " << int_length << std::endl;
std::cout << "Input Width: " << int_width << std::endl;
std::cout << "Expected Output: " << int_expected << std::endl;
std::cout << "Output: " << int_area << std::endl;
assert(int_area == int_expected);
std::cout << "Output: " << int_perimeter << std::endl;
assert(int_perimeter == int_expected);
std::cout << "TEST PASSED" << std::endl << std::endl;
// 4th test
double_length = 2.5;
double_width = 5.7;
double_expected = 14.25;
double_area = math::rect_area(double_length, double_width);
double_expected = 16.4;
double_perimeter = math::rect_perimeter(double_length, double_width);
std::cout << "AREA OF A RECTANGLE (double)" << std::endl;
std::cout << "perimeter OF A RECTANGLE (double)" << std::endl;
std::cout << "Input Length: " << double_length << std::endl;
std::cout << "Input Width: " << double_width << std::endl;
std::cout << "Expected Output: " << double_expected << std::endl;
std::cout << "Output: " << double_area << std::endl;
assert(double_area == double_expected);
std::cout << "Output: " << double_perimeter << std::endl;
assert(double_perimeter == double_expected);
std::cout << "TEST PASSED" << std::endl << std::endl;
// 5th test
int_base = 10;
int_height = 3;
int_expected = 15;
int_area = math::triangle_area(int_base, int_height);
int_hypotenuse = 5;
int_expected = 18;
int_perimeter = math::triangle_perimeter(int_base, int_height, int_hypotenuse);
std::cout << "AREA OF A TRIANGLE" << std::endl;
std::cout << "perimeter OF A TRIANGLE" << std::endl;
std::cout << "Input Base: " << int_base << std::endl;
std::cout << "Input Height: " << int_height << std::endl;
std::cout << "Expected Output: " << int_expected << std::endl;
std::cout << "Output: " << int_area << std::endl;
assert(int_area == int_expected);
std::cout << "Output: " << int_perimeter << std::endl;
assert(int_perimeter == int_expected);
std::cout << "TEST PASSED" << std::endl << std::endl;
// 6th test
double_radius = 6;
double_expected =
113.09733552923255; // rounded down because the double datatype
37.69911184307752; // rounded down because the double datatype
// truncates after 14 decimal places
double_area = math::circle_area(double_radius);
double_perimeter = math::circle_perimeter(double_radius);
std::cout << "AREA OF A CIRCLE" << std::endl;
std::cout << "perimeter OF A CIRCLE" << std::endl;
std::cout << "Input Radius: " << double_radius << std::endl;
std::cout << "Expected Output: " << double_expected << std::endl;
std::cout << "Output: " << double_area << std::endl;
assert(double_area == double_expected);
std::cout << "Output: " << double_perimeter << std::endl;
assert(double_perimeter == double_expected);
std::cout << "TEST PASSED" << std::endl << std::endl;
// 7th test
int_base = 6;
int_height = 7;
int_expected = 42;
int_area = math::parallelogram_area(int_base, int_height);
int_expected = 26;
int_perimeter = math::parallelogram_perimeter(int_base, int_height);
std::cout << "AREA OF A PARALLELOGRAM" << std::endl;
std::cout << "perimeter OF A PARALLELOGRAM" << std::endl;
std::cout << "Input Base: " << int_base << std::endl;
std::cout << "Input Height: " << int_height << std::endl;
std::cout << "Expected Output: " << int_expected << std::endl;
std::cout << "Output: " << int_area << std::endl;
assert(int_area == int_expected);
std::cout << "Output: " << int_perimeter << std::endl;
assert(int_perimeter == int_expected);
std::cout << "TEST PASSED" << std::endl << std::endl;
// 8th test
double_length = 5.5;
double_expected = 181.5;
double_area = math::cube_surface_area(double_length);
double_expected = 66.0;
double_perimeter = math::cube_surface_perimeter(double_length);
std::cout << "SURFACE AREA OF A CUBE" << std::endl;
std::cout << "SURFACE perimeter OF A CUBE" << std::endl;
std::cout << "Input Length: " << double_length << std::endl;
std::cout << "Expected Output: " << double_expected << std::endl;
std::cout << "Output: " << double_area << std::endl;
assert(double_area == double_expected);
std::cout << "Output: " << double_perimeter << std::endl;
assert(double_perimeter == double_expected);
std::cout << "TEST PASSED" << std::endl << std::endl;
// 9th test
double_radius = 10.0;
double_expected = 1256.6370614359172; // rounded down because the whole
// value gets truncated
double_area = math::sphere_surface_area(double_radius);
int_sides = 7;
int_length = 10;
int_expected = 70;
int_perimeter = math::n_polygon_surface_perimeter(int_sides, int_length);
std::cout << "SURFACE AREA OF A SPHERE" << std::endl;
std::cout << "Input Radius: " << double_radius << std::endl;
std::cout << "Expected Output: " << double_expected << std::endl;
std::cout << "Output: " << double_area << std::endl;
assert(double_area == double_expected);
std::cout << "SURFACE perimeter OF A N-POLYGON" << std::endl;
std::cout << "Input Sides: " << int_sides << std::endl;
std::cout << "Input Length: " << int_length << std::endl;
std::cout << "Expected Output: " << int_expected << std::endl;
std::cout << "Output: " << int_perimeter << std::endl;
assert(int_perimeter == int_expected);
std::cout << "TEST PASSED" << std::endl << std::endl;
// 10th test
double_radius = 4.0;
double_height = 7.0;
double_expected = 276.46015351590177;
double_area = math::cylinder_surface_area(double_radius, double_height);
double_expected = 22.0;
double_perimeter = math::cylinder_surface_perimeter(double_radius, double_height);
std::cout << "SURFACE AREA OF A CYLINDER" << std::endl;
std::cout << "SURFACE perimeter OF A CYLINDER" << std::endl;
std::cout << "Input Radius: " << double_radius << std::endl;
std::cout << "Input Height: " << double_height << std::endl;
std::cout << "Expected Output: " << double_expected << std::endl;
std::cout << "Output: " << double_area << std::endl;
assert(double_area == double_expected);
std::cout << "Output: " << double_perimeter << std::endl;
assert(double_perimeter == double_expected);
std::cout << "TEST PASSED" << std::endl << std::endl;
}