blue.js/libs/bluemath.js

// bluemath.js
// This library adds advanced math objects

function deg2rad (deg) {
	return ((Math.PI*2)/360)*deg;
}

function rad2deg (rad) {
	return (1/deg2rad(1))*rad;
}

class vector {
	constructor(dimentions=[0]) {
		var me = this;
		this.d = Array.isArray(dimentions) ? dimentions.map(d => !isNaN(d) ? d : 0) : [0];

		if (me.d.length == 2) {
			this.getRadAngle = function (from) {
				from = from instanceof vector ? from : new vector([0,0]);
				return Math.atan2(me.d[1] - from.d[1], me.d[0] - from.d[0]);
			}

			this.getDegAngle = function (from) {
				return rad2deg(me.getRadAngle(from));
			}

			this.resize = function (newLength) {
				var angle = me.getDegAngle();
				var soh = Math.sin(angle) * newLength;
				var cah = Math.cos(angle) * newLength;
				return new vector([cah,soh]);
			}
			
			this.rotate = function (rad) {
				var theta = me.getRadAngle() + rad;
				var amp = me.getDistance();
				return new vector([Math.cos(theta)*amp,Math.sin(theta)*amp]);
			}
			
			this.reflect = function (surfaceVector) {
				var theta = (2 * (surfaceVector.getDegAngle() + 90)) - me.getDegAngle();
				var amp = me.getDistance();
				return new vector([Math.cos(theta)*amp,Math.sin(theta)*amp]);
			}

			this.getPerp = function () {
				return me.rotate(deg2rad(90));
			}

			this.slope = function () {
				return me.d[1] / me.d[0];
			}

			this.yIntercept = function () {
				if (Math.abs(me.slope()) != Infinity) {
					return -(me.slope()*me.d[0])+me.d[1];
				} else {
					return me.d[0];
				}
			}

			this.xIntercept = function () {
				return -me.yIntercept()/me.slope();
			}
		}
	}

	add(vec=new vector([...this.d.map(d => 0)])) {
		vec = vec instanceof vector ? vec : new vector([0]);
		var longest = vec.d.length >= this.d.length ? vec.d : this.d;
		var shortest = vec.d.length < this.d.length ? vec.d : this.d;
		return new vector([...longest.map(function (value,index) { 
			var small = shortest[index];
			if (!isNaN(small)) { return value + small; } else { return value; }
		})]);
	}

	mult(vec=new vector([...this.d.map(d => 1)])) {
		vec = vec instanceof vector ? vec : new vector([...this.d.map(d => 1)]);
		var longest = vec.d.length >= this.d.length ? vec.d : this.d;
		var shortest = vec.d.length < this.d.length ? vec.d : this.d;
		return new vector([...longest.map(function (value,index) {
			var small = shortest[index];
			if (!isNaN(small)) { return value * small; } else { value; }
		})]);
	}
	
	mag(mult=1) {
		mult = !isNaN(mult) ? mult : 1;
		return this.mult(new vector([...this.d.map(d => mult)]));
	}

	square() {
		return this.mult(this);
	}

	getDistance(origin = new vector([...this.d.map(d => 0)])) {
		origin = origin instanceof vector ? origin : new vector([...this.d.map(d => 0)]);
		return Math.sqrt(this.d.map(function (value, index) {
			var ori = !isNaN(origin.d[index]) ? origin.d[index] : 0;
			return Math.pow(Math.abs(ori - value), 2);
		}).reduce((a,b) => a + b));
	}
}

class lineSeg {
	constructor (pointA,pointB) {
		this.pointA = pointA;
		this.pointB = pointB;
	}

	intersect(line) {
		if (line instanceof lineSeg) {
			var x1 = this.pointA.d[0];
			var x2 = this.pointB.d[0];
			var x3 = line.pointA.d[0];
			var x4 = line.pointB.d[0];
		
			var y1 = this.pointA.d[1];
			var y2 = this.pointB.d[1];
			var y3 = line.pointA.d[1];
			var y4 = line.pointB.d[1];

			var deltaAX = x1 - x2;
			var deltaBX = x3 - x4;
			var deltaAY = y1 - y2;
			var deltaBY = y3 - y4;

			// I don't know wtf to call these
			var ground = deltaAX*deltaBY-deltaAY*deltaBX;
			var Across = x1*y2 - y1*x2;
			var Bcross = x3*y4 - y3*x4;

			var x = (Across*deltaBX-deltaAX*Bcross)/ground;
			var y = (Across*deltaBY-deltaAY*Bcross)/ground;

			if (
				(new bound([x1],[x2])).inbounds([x]) &&
				(new bound([x3],[x4])).inbounds([x]) &&
				(new bound([y1],[y2])).inbounds([y]) &&
				(new bound([y3],[y4])).inbounds([y])) {
				return new vector([x,y]);
			} else {
				return false;
			}

		} else {
			throw new TypeError("must check against line");
		}
	}
	
}

function rad2vec (rad) {
		var x = Math.cos(rad);
		var y = Math.sin(rad);
		return new vector([x,y]);
}

function deg2vec (deg) { //abstraction, really just for sanity
		return rad2vec(deg2rad(deg));
}

class bound {
	constructor (min=[-Infinity],max=[Infinity]) {
		// Failsafe if bare numbers are provided instead of an array
		// Insure both inputs are arrays with valid numbers
 		min = Array.isArray(min) ? min.map(value => !isNaN(value) ? value : -Infinity) : ( !isNaN(min) ? [min] : [-Infinity] );
		max = Array.isArray(max) ? max.map(value => !isNaN(value) ? value : -Infinity) : ( !isNaN(max) ? [max] : [Infinity] );
		// Insure both arrays are equal in size
		while( min.length != max.length ) {
			if (min.length > max.length) { max.push(Infinity); 
		} else { min.push(-Infinity); }
		}
		// Accept filtered bounds
		this.min = min;
		this.max = max;
	}

	inbounds(valueArray=[...this.min.map(v => 0)]) {
		if (valueArray.length != this.min.length) { return false }
		return valueArray.map((value,index) => (value >= this.min[index]) && (value <= this.max[index])).reduce((a,b) => a && b);
	}

	normalize(valueArray=[...this.min.map(v => 0)]) {
		if (valueArray.length != this.min.length) { return [...this.min.map(v => 0)]; }
		return valueArray.map((value,index) => (value - this.min[index])/(this.max[index] - this.min[index]));
	}

	clamp(valueArray=[...this.min.map(v => 0)]) {
		if (valueArray.length != this.min.length) { return [...this.min.map((v,i) => Math.min(Math.max(0, v), this.max[i]))]; }
		return valueArray.map((value,index) => Math.min(Math.max(value,this.min[index]),this.max[index]));
	}

	outOfBoundsBy(valueArray=[...this.min.map(v => 0)]) {
		if (this.inbounds(valueArray)) {
			return [...this.min.map(e=>0)];
		} else {
			return this.min.map((value,index)=>{
				if (undefined == valueArray[index]) { return NaN }
				if (valueArray[index] < value) { return -(value - valueArray[index]) }
				if (valueArray[index] > this.max[index]) { return valueArray[index] - this.max[index] }
				return 0;
			});
		}
	}

}

class boundValue {
	constructor (bounds=new bound(),value=0) {
		this.bounds = bounds instanceof bound ? bounds : new bound();
		this.value = !isNaN(value) ? value : 0;
	}

	setValue(value=0) {
		value = !isNaN(value) ? value : 0;
		return this.value = this.bounds.clamp([value])[0];
	}

	getValue() {
		return this.bounds.clamp([this.value])[0];
	}

	getValuePercent() {
		return this.bounds.normalize([this.value])[0];
	}

	modValue(mod=0) {
		mod = !isNaN(mod) ? mod : 0;
		var outOfBoundsBy = this.bounds.outOfBoundsBy([this.value+mod])[0];
		return {newValue:this.setValue(this.value+mod),remainder:outOfBoundsBy};
	}
}

function normalizeArray(array) {
	array = Array.isArray(array) ? array.map(e => !isNaN(e) ? e : 0) : [1];
	var sum = array.reduce((a,b) => a+b);
	return array.map(v => v/sum);
}

class matrix {
	constructor (data) {
		var me = this;
		this.data = [];
		this.rows = 0;
		this.cols = 0;
		if (!Array.isArray(data)) {
			me.data.push([typeof data == "number" ? data : 0]);
			me.cols = me.data.length;
			me.rows = me.data[0].length;
		} else {
			me.cols = data.length;
			me.rows = data[0].length;
			for (var i = 0; i < me.cols; i++) {
				var thisCol = [];
				for (var j = 0; j < me.rows; j++) {
					thisCol.push(data[i][j]);
				}
				me.data.push(thisCol);
			}
		}

		this.getRow = function (row) {
			return me.data.map(function (col) { return col[row]; });
		}

		this.addRow = function (rowData) {
			if (!Array.isArray(rowData)) { return console.error("Not provided an array: "+rowData); }
				me.data.forEach(function (col,i) { if (!(rowData[i])) { rowData[i] = 0; }  col.push(rowData[i]); });
			}

		this.getCol = function (col) {
			return Array.from(me.data[col]);
		}

		this.addCol = function (colData) {
			if (!Array.isArray(colData)) { return console.error("Not provided an array: "+colData); }
			colData = me.data[0].map(function (a,x) { if (colData[x]) { return colData[x]; } else { return 0;} });
			me.data.push(colData);
		}

		this.transpose = function () {
			var resultCols = me.rows;
			var newData = [];
			for (var c = 0; c < resultCols; c++) {
				newData.push(me.getRow(c));
			}
			return new matrix(newData);
		}

		this.multMat = function (matB) {
			if (!(matB instanceof matrix)) { return console.error("Must provide matrix for this method"); }
			if (me.cols != matB.rows) { return console.error("The number of columns in the first matrix should be equal to the number of rows in the second\n"+JSON.stringify(me.data)+" x "+JSON.stringify(matB.data)) }
			var resultRows = me.rows;
			var resultCols = matB.cols;
			var newData = [];
			for (var c = 0; c < resultCols; c++) {
				var bcol = matB.getCol(c);
				var thisCol = [];
				for (var r = 0; r < resultRows; r++) {
					thisCol.push(me.getRow(r).map(function (a,i) { var res = a * bcol[i]; return isNaN(res) ? 0 : res; }).reduce(function (a,b) { return a + b; }) );
				}
				newData.push(thisCol);
			}
			return new matrix(newData);
		}

		this.multNum = function (num) {
			if (typeof num != "number") { return console.error("Must provide a number, provided "+(typeof num)); }
			return new matrix(me.data.map(function (a) { return a.map(function (b) { var res = b * num; return isNaN(res) ? 0 : res; }); }));
		}

		this.addMat = function (matB) {
			if (!(matB instanceof matrix)) { return console.error("Must provide matrix for this method"); }
			if (me.cols != matB.cols) {return console.error("Matrices must be of the same width"); }
			if (me.rows != matB.rows) {return console.error("Matrices must be of the same height"); }
			return new matrix(me.data.map(function (col,x) { return col.map(function (a,y) {  var res = a + matB.data[x][y]; return isNaN(res) ? 0 : res; }); }));
		}
	}
}