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m (Adding reference to round() to help with floating point results.) |
(something behind the scenes already catches the implicit potential division by 0, so there seems to be no need to check it explicitely) |
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|version=1.4.0.5 | |version=1.4.0.5 | ||
|description= | |description= | ||
This is NOT a single MapTool function but a collection of math functions in MapTool.< | This is NOT a single MapTool function but a collection of math functions in MapTool. | ||
<p /> | |||
'''Important Note''': | '''Important Note''': Some of these functions have similar versions that don't have the <code>math.</code> prefix. These functions may differ slightly from those in implementation and output. For instance, most of these functions return a floating-point number (e.g.: <code>3.0</code>), so you may find it helpful to surround them with {{func|round}}, {{func|floor}}, or {{func|ceiling}}. | ||
|usage= | |usage= | ||
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[r:val = math.asin_r(radians)] | [r:val = math.asin_r(radians)] | ||
[r:val = math.atan(degrees)] | [r:val = math.atan(degrees)] | ||
[r:val = math.atan_r( | [r:val = math.atan_r(num)] <!-- radians --> | ||
[r:val = math.atan2( | [r:val = math.atan2(y,x)] <!-- degrees --> | ||
[r:val = math.atan2_r( | [r:val = math.atan2_r(y,x)] <!-- radians --> | ||
[r:val = math.cos(degrees)] | [r:val = math.cos(degrees)] | ||
[r:val = math.cos_r(num)] | [r:val = math.cos_r(num)] | ||
| Line 65: | Line 65: | ||
</source> | </source> | ||
Returns: 3.0 | Returns: 3.0 | ||
====atan2_r==== | |||
<source lang="mtmacro" line> | |||
<!-- calculate angle from center of source to center of target --> | |||
[H: x1 = getTokenX(1,sourceId) + round(getTokenWidth(sourceId)/2)] | |||
[H: y1 = getTokenY(1,sourceId) + round(getTokenHeight(sourceId)/2)] | |||
[H: x2 = getTokenX(1,targetId) + round(getTokenWidth(targetId)/2)] | |||
[H: y2 = getTokenY(1,targetId) + round(getTokenHeight(targetId)/2)] | |||
<!-- note: reversed y1 and y2 in formulas to represent inverted MapTool coordinate system on y-axis --> | |||
[H: facing = round(math.atan2_r(y1-y2,x2-x1) / math.pi() * 180)] | |||
</source> | |||
Output range from -179 to 180 degrees. | |||
====mod==== | ====mod==== | ||
| Line 89: | Line 102: | ||
</source> | </source> | ||
Returns: 8.0 | Returns: 8.0 | ||
|also= | |||
Some <code>math</code> functions are further documented on their own pages: | |||
<ul><li>[[math.e]]</li><li>[[math.log]]</li></ul> | |||
}} | }} | ||
[[Category:Mathematical Function]] | [[Category:Mathematical Function]] | ||
Revision as of 20:05, 13 June 2022
math() Function
• Introduced in version 1.4.0.5
This is NOT a single MapTool function but a collection of math functions in MapTool.
Important Note: Some of these functions have similar versions that don't have the math. prefix. These functions may differ slightly from those in implementation and output. For instance, most of these functions return a floating-point number (e.g.: 3.0), so you may find it helpful to surround them with round(), floor(), or ceiling().
Usage
Numbers:
[r:val = math.pi()]
[r:val = math.e()]
Trigonomotry:
[r:val = math.acos(degrees)]
[r:val = math.acos_r(radians)]
[r:val = math.asin(degrees)]
[r:val = math.asin_r(radians)]
[r:val = math.atan(degrees)]
[r:val = math.atan_r(num)] <!-- radians -->
[r:val = math.atan2(y,x)] <!-- degrees -->
[r:val = math.atan2_r(y,x)] <!-- radians -->
[r:val = math.cos(degrees)]
[r:val = math.cos_r(num)]
[r:val = math.sin(degrees)]
[r:val = math.sin_r(num)]
[r:val = math.tan(degrees)]
[r:val = math.tan_r(num)]
[r:val = math.toDegrees(num)]
[r:val = math.toRadians(degrees)]
Power and root:
[r:val = math.sqrt(num)]
[r:val = math.squareroot(num)]
[r:val = math.cbrt(num)]
[r:val = math.cuberoot(num)]
[r:val = math.pow(num1,num2)]
Logarithmic
[r:val = math.log(num)] (this is the log to base e)
[r:val = math.log10(num)]
Pythagorean:
[r:val = math.hypot(num1, num2)]
[r:val = math.hypotenuse(num1, num2)]
Simple operations
[r:val = math.abs(num)]
[r:val = math.ceil(num)]
[r:val = math.floor(num)]
[r:val = math.isEven(num)]
[r:val = math.isInt(num)]
[r:val = math.isOdd(num)]
[r:val = math.max(num1, num2, num2, etc.)]
[r:val = math.min(num1, num2, num2, etc.)]
[r:val = math.mod(dividend, divisor)]Examples
abs
[r:val = math.abs(-3)]Returns: 3.0
atan2_r
<!-- calculate angle from center of source to center of target -->
[H: x1 = getTokenX(1,sourceId) + round(getTokenWidth(sourceId)/2)]
[H: y1 = getTokenY(1,sourceId) + round(getTokenHeight(sourceId)/2)]
[H: x2 = getTokenX(1,targetId) + round(getTokenWidth(targetId)/2)]
[H: y2 = getTokenY(1,targetId) + round(getTokenHeight(targetId)/2)]
<!-- note: reversed y1 and y2 in formulas to represent inverted MapTool coordinate system on y-axis -->
[H: facing = round(math.atan2_r(y1-y2,x2-x1) / math.pi() * 180)]Output range from -179 to 180 degrees.
mod
Returns the result of the modulo operation between the two numbers, which represents the remainder after a division operation.
[r: math.mod(14,6)]Returns 2
[r: math.mod(10,5)]Returns 0
[r: math.mod(-13,4)]Returns -1
pow
[r:val = math.pow(2,3)]