Difference between revisions of "Lua Shader Angle and Trigonometry Functions"
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(Created page with "Function parameters specified as angle are assumed to be in units of radians. In no case will any of these functions result in a divide by zero error. If the divisor of a rati...") |
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Function parameters specified as angle are assumed to be in units of radians. In no case will any of these functions result in a divide by zero error. If the divisor of a ratio is 0, then results will be undefined. | Function parameters specified as angle are assumed to be in units of radians. In no case will any of these functions result in a divide by zero error. If the divisor of a ratio is 0, then results will be undefined. | ||
| + | |||
| + | {| class="wikitable" | ||
| + | |- | ||
| + | ! Function !! Syntax !! Description | ||
| + | |- | ||
| + | | rad || rad(degrees) || Converts degrees to radians, i.e pi/180*degrees. | ||
| + | |- | ||
| + | | deg || deg(radians) || Converts radians to degrees, i.e 180/pi*radians. | ||
| + | |- | ||
| + | | sin || sin(angle) || The standard trigonometric sine function. | ||
| + | |- | ||
| + | | cos || cos(angle) || The standard trigonometric cosine function. | ||
| + | |- | ||
| + | | tan || tan(angle) || The standard trigonometric tangent. | ||
| + | |- | ||
| + | | asin || asin(x) || Arc sine. Returns an angle whose sine is x. | ||
| + | |- | ||
| + | | acos || acos(x) || Arc cosine. Returns an angle whose cosine is x. | ||
| + | |- | ||
| + | | atan || atan(y_over_x) || Arc tangent. Returns an angle whose tangent is y_over_x. | ||
| + | |- | ||
| + | | atan2 || atan2(y,x) || Arc tangent. Returns an angle whose tangent is y/x. | ||
| + | |- | ||
| + | | sinh || sinh(x) || Returns the hyperbolic cosine function. (e^x - e^-x)/2 | ||
| + | |- | ||
| + | | cosh || cosh(x) || The standard trigonometric cosine function. (e^x + e^-x)/2 | ||
| + | |- | ||
| + | | tanh || tan(x) || Returns the hyperbolic tangent function. sinh(x)/cosh(x) | ||
| + | |- | ||
| + | | asinh || asinh(x) || Arc hyperbolic sine; returns the inverse of sinh. | ||
| + | |- | ||
| + | | acosh || acosh(x) || Arc hyperbolic cosine; returns the non-negative inverse of cosh. | ||
| + | |- | ||
| + | | atanh || atan(x) || Arc hyperbolic tangent; returns the inverse of tanh. | ||
| + | |} | ||
Revision as of 22:20, 2 July 2020
Function parameters specified as angle are assumed to be in units of radians. In no case will any of these functions result in a divide by zero error. If the divisor of a ratio is 0, then results will be undefined.
| Function | Syntax | Description |
|---|---|---|
| rad | rad(degrees) | Converts degrees to radians, i.e pi/180*degrees. |
| deg | deg(radians) | Converts radians to degrees, i.e 180/pi*radians. |
| sin | sin(angle) | The standard trigonometric sine function. |
| cos | cos(angle) | The standard trigonometric cosine function. |
| tan | tan(angle) | The standard trigonometric tangent. |
| asin | asin(x) | Arc sine. Returns an angle whose sine is x. |
| acos | acos(x) | Arc cosine. Returns an angle whose cosine is x. |
| atan | atan(y_over_x) | Arc tangent. Returns an angle whose tangent is y_over_x. |
| atan2 | atan2(y,x) | Arc tangent. Returns an angle whose tangent is y/x. |
| sinh | sinh(x) | Returns the hyperbolic cosine function. (e^x - e^-x)/2 |
| cosh | cosh(x) | The standard trigonometric cosine function. (e^x + e^-x)/2 |
| tanh | tan(x) | Returns the hyperbolic tangent function. sinh(x)/cosh(x) |
| asinh | asinh(x) | Arc hyperbolic sine; returns the inverse of sinh. |
| acosh | acosh(x) | Arc hyperbolic cosine; returns the non-negative inverse of cosh. |
| atanh | atan(x) | Arc hyperbolic tangent; returns the inverse of tanh. |
