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| new:math [2018/02/20 18:43] – korshun | new:math [2018/02/21 13:11] – korshun |
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| * ''fixed IntDiv(int x, int y)'' -- divides two integers and returns fixed-point result. Supports any pair of integers whose ratio is less than 32767. | * ''fixed IntDiv(int x, int y)'' -- divides two integers and returns fixed-point result. Supports any pair of integers whose ratio is less than 32767. |
| * ''fixed AngleDiff(fixed a, fixed b)'' -- returns the shortest rotation angle needed to go from A to B. Result is always in [-0.5, 0.5]. Both A and B may be outside [0.0, 1.0]. | * ''fixed AngleDiff(fixed a, fixed b)'' -- returns the shortest signed rotation angle needed to go from angle A to angle B. Result is always in [-0.5, 0.5]. Both A and B may be outside [0.0, 1.0]. |
| * ''num gcf(num a, num b)'' -- returns the greatest common factor of two numbers. | * ''num gcf(num a, num b)'' -- returns the greatest common factor of two numbers. |
| | * ''fixed fract(fixed x)'' -- returns the fractional part of X. For example, ''fract(12.345)'' returns ''0.345''. ''fract(-1234.56789) == 0.56789''. |
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| ==== Powers ==== | ==== Powers ==== |
| * ''fixed, fixed VectorToAngles(fixed x, fixed y, fixed z)'' -- converts vector to a pair of angles (angle and pitch) | * ''fixed, fixed VectorToAngles(fixed x, fixed y, fixed z)'' -- converts vector to a pair of angles (angle and pitch) |
| * ''fixed, fixed RotateVector(fixed x, fixed y, fixed angle)'' -- returns vector rotated by angle | * ''fixed, fixed RotateVector(fixed x, fixed y, fixed angle)'' -- returns vector rotated by angle |
| * ''fixed, fixed RotateVectorSC(fixed x, fixed y, fixed sin, fixed cos)'' -- returns vector rotated by sin and cos of some angle (aka rotation vector). This is useful if you already have the sine and cosine of the rotation angle. | * ''fixed, fixed RotateVectorCS(fixed x, fixed y, fixed rx, fixed ry)'' -- returns vector rotated by another vector's angle. Result is multipled by the second vector's length. If the second vector is normalized, it's a (cos(angle), sin(angle)) vector of rotation angle. |
| * ''fixed, fixed RotatePoint(fixed x, fixed y, fixed originX, fixed originY, fixed angle)'' -- returns 2D point rotated by angle around the origin. | * ''fixed, fixed RotatePoint(fixed x, fixed y, fixed originX, fixed originY, fixed angle)'' -- returns 2D point rotated by angle around the origin. |
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| ==== Other useful functions ==== | ==== Other useful functions ==== |
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| === fract === | |
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| ''fixed fract(fixed x)'' -- returns the fractional part of X. For example, ''fract(12.345)'' returns ''0.345''. | |
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| === mod === | === mod === |
