Angles

Functions
constexpr double	doodle::to_radians (double angle_in_degrees) noexcept
	Converts a degree measurement to its corresponding value in radians. Radians and degrees are two ways of measuring the same thing. There are 360 degrees in a circle and \(2\pi\) radians in a circle. For example, \(90^{\circ}=\frac{\pi}{2}=1.5707964\). More...
constexpr double	doodle::to_degrees (double angle_in_radians) noexcept
	Converts a radian measurement to its corresponding value in degrees. Radians and degrees are two ways of measuring the same thing. There are 360 degrees in a circle and \(2\pi\) radians in a circle. For example, \(90^{\circ}=\frac{\pi}{2}=1.5707964\). More...

Variables
constexpr double	doodle::PI = 3.1415926535897932384626433832795028
	\(\pi\) More...
constexpr double	doodle::HALF_PI = PI / 2.0
	\(\frac{\pi}{2}\) More...
constexpr double	doodle::QUARTER_PI = PI / 4.0
	\(\frac{\pi}{4}\) More...
constexpr double	doodle::TWO_PI = 2.0 * PI
	\(2\pi\) More...

Detailed Description

• Constants for common angles measured in radians. Also contains some helper functions related to angles.

Function Documentation

to_degrees()

constexpr double doodle::to_degrees ( double  angle_in_radians )

constexprnoexcept

Converts a radian measurement to its corresponding value in degrees. Radians and degrees are two ways of measuring the same thing. There are 360 degrees in a circle and \(2\pi\) radians in a circle. For example, \(90^{\circ}=\frac{\pi}{2}=1.5707964\).

Parameters

angle_in_radians

an angle measured in radians

constexpr double theta = to_degrees(QUARTER_PI);
std::cout << QUARTER_PI << " radians is " << theta << " degrees\n";
// prints: 0.785398 radians is 45 degrees

Returns

the corresponding angle measured in degrees

Definition at line 93 of file angle.hpp.

{ return angle_in_radians * 180.0 / PI; }

to_radians()

constexpr double doodle::to_radians ( double  angle_in_degrees )

constexprnoexcept

Converts a degree measurement to its corresponding value in radians. Radians and degrees are two ways of measuring the same thing. There are 360 degrees in a circle and \(2\pi\) radians in a circle. For example, \(90^{\circ}=\frac{\pi}{2}=1.5707964\).

Parameters

angle_in_degrees

an angle measured in degrees

constexpr double theta = to_radians(45.0);
std::cout << 45.0 << " degrees is " << theta << " radians\n";
// prints: 45 degrees is 0.785398 radians

Returns

the corresponding angle measured in radians

Definition at line 78 of file angle.hpp.

{ return angle_in_degrees * PI / 180.0; }

Variable Documentation

HALF_PI

constexpr double doodle::HALF_PI = PI / 2.0

constexpr

\(\frac{\pi}{2}\)

HALF_PI is a mathematical constant with the value ~1.57079. It is half the ratio of the circumference of a circle to its diameter. It is useful in combination with the trigonometric functions sin() and cos().

double x = std::cos(HALF_PI);
double y = std::sin(HALF_PI);

Definition at line 39 of file angle.hpp.

PI

constexpr double doodle::PI = 3.1415926535897932384626433832795028

constexpr

\(\pi\)

PI is a mathematical constant with the value ~3.1415. It is the ratio of the circumference of a circle to its diameter. It is useful in combination with the trigonometric functions sin() and cos().

double x = std::cos(PI);
double y = std::sin(PI);

Definition at line 27 of file angle.hpp.

QUARTER_PI

constexpr double doodle::QUARTER_PI = PI / 4.0

constexpr

\(\frac{\pi}{4}\)

QUARTER_PI is a mathematical constant with the value ~0.7853982. It is one quarter the ratio of the circumference of a circle to its diameter. It is useful in combination with the trigonometric functions sin() and cos().

double x = std::cos(QUARTER_PI);
double y = std::sin(QUARTER_PI);

Definition at line 50 of file angle.hpp.

TWO_PI

constexpr double doodle::TWO_PI = 2.0 * PI

constexpr

\(2\pi\)

TWO_PI is a mathematical constant with the value ~6.2831. It is twice the ratio of the circumference of a circle to its diameter. It is useful in combination with the trigonometric functions sin() and cos().

double x = std::cos(TWO_PI);
double y = std::sin(TWO_PI);

Definition at line 62 of file angle.hpp.