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Math Trigonometric Functions

Header: #include <UnigineMathLib.h>

This class contains basic and inverse trigonometric functions.

Notice
Math trigonometrical functions are the members of the Unigine::Math namespace.

Math Class

Members


float acos ( float v ) #

Returns the arccosine of the given argument - the angle in radians, whose cosine is equal to the argument. a == cos(acos(a)) for every value of a that is within acos()'s range.

Arguments

  • float v - Argument.

Return value

Arccosine of the argument, in radians.

double acos ( double v ) #

Returns the arccosine of the given argument - the angle in radians, whose cosine is equal to the argument. a == cos(acos(a)) for every value of a that is within acos()'s range.

Arguments

  • double v - Argument.

Return value

Arccosine of the argument, in radians.

float acosFast ( float a ) #

Returns the approximated, but calculated more quickly, arccosine of the given argument.

Arguments

  • float a - Argument, in radians.

Return value

Approximated arccosine of the argument.

float asin ( float v ) #

Returns the arcsine of the given argument - the angle in radians, whose sine is equal to the argument. a == sin(asin(a)) for every value of a that is within asin()'s range.

Arguments

  • float v - Argument.

Return value

Arcsine of the argument, in radians.

double asin ( double v ) #

Returns the arcsine of the given argument - the angle in radians, whose sine is equal to the argument. a == sin(asin(a)) for every value of a that is within asin()'s range.

Arguments

  • double v - Argument.

Return value

Arcsine of the argument, in radians.

float asinFast ( float a ) #

Returns the approximated, but calculated more quickly, arcsine of the given argument.

Arguments

  • float a - Argument, in radians.

Return value

Approximated arcsine of the argument.

float atan ( float v ) #

Returns the arctangent of the given argument - the angle in radians, whose tangent is equal to the argument. a == tan(atan(a)) for every value of a that is within atan()'s range.

Arguments

  • float v - Argument.

Return value

Arctangent of the argument, in radians.

double atan ( double v ) #

Returns the arctangent of the given argument - the angle in radians, whose tangent is equal to the argument. a == tan(atan(a)) for every value of a that is within atan()'s range.

Arguments

  • double v - Argument.

Return value

Arctangent of the argument, in radians.

float atan2 ( float y, float x ) #

Returns the arctangent of two arguments (x and y). It is similar to calculating the arctangent of y / x, except that the signs of both arguments are used to determine the quadrant of the result.

Arguments

  • float y - First argument.
  • float x - Second argument.

Return value

Result in radians, which is between -PI and PI (inclusive).

double atan2 ( double y, double x ) #

Returns the arctangent of two arguments (x and y). It is similar to calculating the arctangent of y / x, except that the signs of both arguments are used to determine the quadrant of the result.

Arguments

  • double y - First argument.
  • double x - Second argument.

Return value

Result in radians, which is between -PI and PI (inclusive).

float cos ( float a ) #

Returns the cosine of the given argument.

Arguments

  • float a - Argument, in radians.

Return value

Cosine of the argument.

double cos ( double a ) #

Returns the cosine of the given argument.

Arguments

  • double a - Argument, in radians.

Return value

Cosine of the argument.

float cosFast ( float a ) #

Returns the approximated, but calculated more quickly, cosine of the given argument.

Arguments

  • float a - Argument, in radians.

Return value

Approximated cosine of the argument.

float cosFastFixed ( float a ) #

Returns the approximated, but calculated more quickly, cosine of the given argument in range [-pi*0.5, pi*0.5].

Arguments

  • float a - Argument, in radians, in range [-pi*0.5, pi*0.5].

Return value

Approximated cosine of the argument.

float sin ( float a ) #

Returns the sine of the given argument.

Arguments

  • float a - Argument, in radians.

Return value

Sine of the argument.

double sin ( double a ) #

Returns the sine of the given argument.

Arguments

  • double a - Argument, in radians.

Return value

Sine of the argument.

float sinFast ( float a ) #

Returns the approximated, but calculated more quickly, sine of the given argument.

Arguments

  • float a - Argument, in radians.

Return value

Approximated sine of the argument.

float sinFastFixed ( float a ) #

Returns the approximated, but calculated more quickly, sine of the given argument in range [-pi*0.5, pi*0.5].

Arguments

  • float a - Argument, in radians, in range [-pi*0.5, pi*0.5].

Return value

Approximated sine of the argument.

void sincos ( float angle, float & s, float & c ) #

Calculates sine and cosine values for the specified angle value given in radians and puts them to out_sin and out_cos.

Arguments

  • float angle - Angle, in radians.
  • float & s - Variable, to which the calculated sine value is to be put.
  • float & c - Variable, to which the calculated cosine value is to be put.

void sincos ( double angle, double & s, double & c ) #

Calculates sine and cosine values for the specified angle value given in radians and puts them to out_sin and out_cos.

Arguments

  • double angle - Angle, in radians.
  • double & s - Variable, to which the calculated sine value is to be put.
  • double & c - Variable, to which the calculated cosine value is to be put.

void sincosFast ( float angle, float & s, float & c ) #

Calculates approximated sine and cosine values for the specified angle value given in radians and puts them to out_sin and out_cos.

Arguments

  • float angle - Angle, in radians.
  • float & s - Variable, to which the calculated sine value is to be put.
  • float & c - Variable, to which the calculated cosine value is to be put.

float tan ( float a ) #

Returns the tangent of the given argument.

Arguments

  • float a - Argument, in radians.

Return value

Tangent of the argument.

double tan ( double a ) #

Returns the tangent of the given argument.

Arguments

  • double a - Argument, in radians.

Return value

Tangent of the argument.
Last update: 2024-10-30
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