...my actionscript diary

Math.getNCube()

lostchild — Tue, 11 Jun 2002 10:05:26 +0000

This function returns the number of components of an n-dimensional cube (known as an n-cube or measure polytope) as an array. For example If you need to know a cube’s number of components, then you would type Math.getNCube(3) and you’ll simply get the number components as the array “[8,12,6,1]“. The two examples after the code should give enough information about the usage of this function.

Math.getNCube = function (dimension) {
var isInteger = (n % 1 == 0)
var isPositive = (n >= 0)
// if the argument is not a natual number
if(!(isInteger && isPositive)){
// quit
return undefined
}
else{
// array to hold the number of components in order
var element = []
for(i=0;i<dimension+1;i++){
element[i] = [] ;
for(j=0;j<dimension+1;j++){
// if the object's and its component's dimensions are equal
if (i == j) {
// then the object's component is itself
element[i][j] = 1 ;
}
if (i > j) {
if ( j == 0) {
element[i][j] = Math.pow(2,i);
}
if( j !== 0){
element[i][j] = 2*element[i-1][j] + element[i-1][j-1];
}
}
}
}
return element[dimension] ;
}
}

usage:

/* get the number of components of a cube
* returns 8,12,6,1
*/
trace(Math.ncube(3));

usage:

/*
* define the variable "hypercube"
* and assign the resulting array
* of the Math.getNCube() method as its value
*/
var hypercube = Math.getNcube(4)

/* get the number of vertices of the hypercube
* returns 16
*/
trace(hypercube[0])

/* get the number of edges
* returns 32
*/
trace(hypercube[1])

/* get the number of faces
* returns 24
*/
trace(hypercube[2])

/* get the number of cubes
* returns 8
*/
trace(hypercube[1])

/* get the number of hypercubes
* returns 1
* obviously itself...
*/
trace(hypercube[1])

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Math.isNatural()

lostchild — Fri, 07 Jun 2002 06:09:26 +0000

This function simply detects if the input is a natural number.

Math.isNatural = function(_number){
var isInteger = (_number % 1 == 0)
var isPositive = (_number >= 0)
return isInteger && isPositive
}

usage:

// returns true
trace(Math.isNatural(13))
// returns false
trace(Math.isNatural(-4))
// returns false
trace(Math.isNatural(Math.PI))

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Math.isInteger()

lostchild — Thu, 06 Jun 2002 00:17:37 +0000

This function simply detects if the input is an integer.

Math.isInteger = function(_number) {
return (_number %1 == 0);
};

usage:

// returns true
trace(Math.isInteger(13))
// true
trace(Math.isInteger(-3))
// returns false
trace(Math.isInteger(Math.PI))

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