Difference between revisions of "math"

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(Added atan_r example and fixed arguments for function.)
(something behind the scenes already catches the implicit potential division by 0, so there seems to be no need to check it explicitely)
 
(One intermediate revision by one other user not shown)
Line 69: Line 69:
 
<source lang="mtmacro" line>
 
<source lang="mtmacro" line>
 
<!-- calculate angle from center of source to center of target -->
 
<!-- calculate angle from center of source to center of target -->
[H: x1 = getTokenX(1,sourceId) + getTokenWidth(sourceId)]
+
[H: x1 = getTokenX(1,sourceId) + round(getTokenWidth(sourceId)/2)]
[H: y1 = getTokenY(1,sourceId) + getTokenWidth(sourceId)]
+
[H: y1 = getTokenY(1,sourceId) + round(getTokenHeight(sourceId)/2)]
[H: x2 = getTokenX(1,targetId) + getTokenWidth(targetId)]
+
[H: x2 = getTokenX(1,targetId) + round(getTokenWidth(targetId)/2)]
[H: y2 = getTokenY(1,targetId) + getTokenWidth(targetId)]
+
[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 -->
 
<!-- note: reversed y1 and y2 in formulas to represent inverted MapTool coordinate system on y-axis -->
[H, if(x1 == x2): direction = 90 * min(1,max(-1,y1-y2)); direction = math.atan2_r(y1-y2,x2-x1) / math.pi() * 180]
+
[H: facing = round(math.atan2_r(y1-y2,x2-x1) / math.pi() * 180)]
[H: facing = round(direction)]
 
 
</source>
 
</source>
 
Output range from -179 to 180 degrees.
 
Output range from -179 to 180 degrees.

Latest 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)]
Returns: 8.0

See Also

Some math functions are further documented on their own pages: