package Angle
import NoWurst
import Maths
import initlater Vectors

/** an angle is just a wrapper around a real which allows for
typesafe APIs without the confusion between radians and degrees*/
public tuple angle(real radians)

/** get the real representation of this angle in degrees */
public function angle.degrees() returns real
	return this.radians*RADTODEG

/** get the real representation of this angle in radians */
public function angle.radians() returns real
	return this.radians

/** interpret this real as an angle given in degrees */
public function real.asAngleDegrees() returns angle
	return angle(this*DEGTORAD)

/** interpret this int as an angle given in radians */
public function int.asAngleRadians() returns angle
	return angle(this * .0)

/** interpret this real as an angle given in radians*/
public function real.asAngleRadians() returns angle
	return angle(this)
/** get the sinus of this angle */

public function angle.sin() returns real
	return Sin(this.radians)

/** get the cosinus of this angle */
public function angle.cos() returns real
	return Cos(this.radians)

/** get the tangens of this angle */
public function angle.tan() returns real
	return Tan(this.radians)

/** returns a vector of the given length pointing into the direction of this angle */
public function angle.toVec(real len) returns vec2
	return vec2(Cos(this.radians)*len, Sin(this.radians)*len)

/** returns a vector of length 1 pointing into the direction of this angle */
public function angle.direction() returns vec2
	return vec2(Cos(this.radians), Sin(this.radians))

/** returns a vector of length 'dist' pointing into the direction of this angle */
public function angle.direction(real dist) returns vec2
	return vec2(dist*Cos(this.radians), dist*Sin(this.radians))

/** adds two angles */
public function angle.op_plus(angle other) returns angle
	return angle(this.radians + other.radians)

/** substracts two angles */
public function angle.op_minus(angle other) returns angle
	return angle(this.radians - other.radians)

/** multiplies the angle with the given scalar */
public function angle.op_mult(real scalar) returns angle
	return angle(this.radians*scalar)

/** multiplies with the given angle */
public function real.op_mult(angle ang) returns angle
	return angle(ang.radians*this)

/** divides the angle by the given scalar */
public function angle.op_divReal(real scalar) returns angle
	return angle(this.radians/scalar)

/** returns the angle of this vector */
public function vec2.getAngle() returns angle
	return angle(Atan2(this.y, this.x))