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-rw-r--r--includes/js/dojox/math/README38
-rw-r--r--includes/js/dojox/math/_base.js122
-rw-r--r--includes/js/dojox/math/curves.js193
-rw-r--r--includes/js/dojox/math/matrix.js294
4 files changed, 647 insertions, 0 deletions
diff --git a/includes/js/dojox/math/README b/includes/js/dojox/math/README
new file mode 100644
index 0000000..f9f50ad
--- /dev/null
+++ b/includes/js/dojox/math/README
@@ -0,0 +1,38 @@
+-------------------------------------------------------------------------------
+DojoX Math
+-------------------------------------------------------------------------------
+Version 0.9
+Release date: 10/20/2007
+-------------------------------------------------------------------------------
+Project state:
+experimental
+-------------------------------------------------------------------------------
+Credits
+ Cal Henderson
+ Dan Pupius
+ Tom Trenka (ttrenka AT gmail.com)
+-------------------------------------------------------------------------------
+Project description
+
+A port of the main functionality of dojo.math 0.4. Includes advanced math
+functions, abstract curve definitions, and some point calculations.
+-------------------------------------------------------------------------------
+Dependencies:
+
+Depends on the Dojo Core, v1.0
+-------------------------------------------------------------------------------
+Documentation
+
+See the API documentation.
+-------------------------------------------------------------------------------
+Installation instructions
+
+Grab the following from the Dojo SVN Repository:
+http://svn.dojotoolkit.org/var/src/dojo/dojox/trunk/math.js
+http://svn.dojotoolkit.org/var/src/dojo/dojox/trunk/math/*
+
+Install into the following directory structure:
+/dojox/math/
+
+...which should be at the same level as your Dojo checkout.
+-------------------------------------------------------------------------------
diff --git a/includes/js/dojox/math/_base.js b/includes/js/dojox/math/_base.js
new file mode 100644
index 0000000..ef2243c
--- /dev/null
+++ b/includes/js/dojox/math/_base.js
@@ -0,0 +1,122 @@
+if(!dojo._hasResource["dojox.math._base"]){ //_hasResource checks added by build. Do not use _hasResource directly in your code.
+dojo._hasResource["dojox.math._base"] = true;
+dojo.provide("dojox.math._base");
+
+dojo.mixin(dojox.math, {
+ degreesToRadians: function(/* Number */n){
+ // summary
+ // Convert the passed number to radians.
+ return (n*Math.PI)/180; // Number
+ },
+ radiansToDegrees: function(/* Number */n){
+ // summary
+ // Convert the passed number to degrees.
+ return (n*180)/Math.PI; // Number
+ },
+
+ factoral: function(/* Number */n){
+ // summary
+ // Return the factoral of n.
+ if(n<1){
+ return 0; // Number
+ }
+ var ret=1;
+ for(var i=1; i<=n; i++){
+ ret*=i;
+ }
+ return ret; // Number
+ },
+ permutations: function(/* Number */n, /* Number */k){
+ // summary
+ // TODO
+ if(n==0 || k==0){
+ return 1; // Number
+ }
+ return (this.factoral(n)/this.factoral(n-k));
+ },
+ combinations: function(/* Number */n, /* Number */r){
+ // summary
+ // TODO
+ if(n==0 || r==0){
+ return 1; // Number
+ }
+ return (this.factoral(n)/(this.factoral(n-r)*this.factoral(r))); // Number
+ },
+ bernstein: function(/* Number */t, /* Number */n, /* Number */ i){
+ // summary
+ // TODO
+ return (this.combinations(n, i)*Math.pow(t, i)*Math.pow(1-t, n-i)); // Number
+ },
+ gaussian: function(){
+ // summary
+ // Return a random number based on the Gaussian algo.
+ var k=2;
+ do{
+ var i=2*Math.random()-1;
+ var j=2*Math.random()-1;
+ k = i*i+j*j;
+ }while(k>=1);
+ return (i * Math.sqrt((-2*Math.log(k))/k)); // Number
+ },
+
+ // basic statistics
+ sd: function(/* Array */a){
+ // summary
+ // Returns the standard deviation of the passed arguments.
+ return Math.sqrt(this.variance(a)); // Number
+ },
+ variance: function(/* Array */a){
+ // summary
+ // Find the variance in the passed array of numbers.
+ var mean=0, squares=0;
+ dojo.forEach(a, function(item){
+ mean+=item;
+ squares+=Math.pow(item,2);
+ });
+ return (squares/a.length)-Math.pow(mean/a.length, 2); // Number
+ },
+
+ // create a range of numbers
+ range: function(/* Number */a, /* Number? */b, /* Number? */step){
+ // summary
+ // Create a range of numbers based on the parameters.
+ if(arguments.length<2){
+ b=a,a=0;
+ }
+ var s=step||1;
+ var range=[];
+ if(s>0){
+ for(var i=a; i<b; i+=s){
+ range.push(i);
+ }
+ }else{
+ if(s<0){
+ for(var i=a; i>b; i+=s){
+ range.push(i);
+ }
+ }else{
+ throw new Error("dojox.math.range: step must not be zero.");
+ }
+ }
+ return range; // Array
+ },
+ distance: function(/* Array */a, /* Array */b){
+ // summary
+ // Calculate the distance between point A and point B
+ return Math.sqrt(Math.pow(b[0]-a[0],2)+Math.pow(b[1]-a[1],2)); // Number
+ },
+ midpoint: function(/* Array */a, /* Array */b){
+ // summary
+ // Calculate the midpoint between points A and B. A and B may be multidimensional.
+ if(a.length!=b.length){
+ console.error("dojox.math.midpoint: Points A and B are not the same dimensionally.", a, b);
+ }
+ var m=[];
+ for(var i=0; i<a.length; i++){
+ m[i]=(a[i]+b[i])/2;
+ }
+ return m; // Array
+ }
+});
+
+}
diff --git a/includes/js/dojox/math/curves.js b/includes/js/dojox/math/curves.js
new file mode 100644
index 0000000..7045c41
--- /dev/null
+++ b/includes/js/dojox/math/curves.js
@@ -0,0 +1,193 @@
+if(!dojo._hasResource["dojox.math.curves"]){ //_hasResource checks added by build. Do not use _hasResource directly in your code.
+dojo._hasResource["dojox.math.curves"] = true;
+dojo.provide("dojox.math.curves");
+
+dojo.mixin(dojox.math.curves, {
+ Line:function (start, end) {
+ this.start = start;
+ this.end = end;
+ this.dimensions = start.length;
+ for (var i = 0; i < start.length; i++) {
+ start[i] = Number(start[i]);
+ }
+ for (var i = 0; i < end.length; i++) {
+ end[i] = Number(end[i]);
+ }
+ this.getValue = function (n) {
+ var retVal = new Array(this.dimensions);
+ for (var i = 0; i < this.dimensions; i++) {
+ retVal[i] = ((this.end[i] - this.start[i]) * n) + this.start[i];
+ }
+ return retVal;
+ };
+ return this;
+ },
+ Bezier:function(pnts) {
+ this.getValue = function (step) {
+ if (step >= 1) {
+ return this.p[this.p.length - 1];
+ }
+ if (step <= 0) {
+ return this.p[0];
+ }
+ var retVal = new Array(this.p[0].length);
+ for (var k = 0; j < this.p[0].length; k++) {
+ retVal[k] = 0;
+ }
+ for (var j = 0; j < this.p[0].length; j++) {
+ var C = 0;
+ var D = 0;
+ for (var i = 0; i < this.p.length; i++) {
+ C += this.p[i][j] * this.p[this.p.length - 1][0] * dojox.math.bernstein(step, this.p.length, i);
+ }
+ for (var l = 0; l < this.p.length; l++) {
+ D += this.p[this.p.length - 1][0] * dojox.math.bernstein(step, this.p.length, l);
+ }
+ retVal[j] = C / D;
+ }
+ return retVal;
+ };
+ this.p = pnts;
+ return this;
+ },
+ CatmullRom:function (pnts, c) {
+ this.getValue = function (step) {
+ var percent = step * (this.p.length - 1);
+ var node = Math.floor(percent);
+ var progress = percent - node;
+ var i0 = node - 1;
+ if (i0 < 0) {
+ i0 = 0;
+ }
+ var i = node;
+ var i1 = node + 1;
+ if (i1 >= this.p.length) {
+ i1 = this.p.length - 1;
+ }
+ var i2 = node + 2;
+ if (i2 >= this.p.length) {
+ i2 = this.p.length - 1;
+ }
+ var u = progress;
+ var u2 = progress * progress;
+ var u3 = progress * progress * progress;
+ var retVal = new Array(this.p[0].length);
+ for (var k = 0; k < this.p[0].length; k++) {
+ var x1 = (-this.c * this.p[i0][k]) + ((2 - this.c) * this.p[i][k]) + ((this.c - 2) * this.p[i1][k]) + (this.c * this.p[i2][k]);
+ var x2 = (2 * this.c * this.p[i0][k]) + ((this.c - 3) * this.p[i][k]) + ((3 - 2 * this.c) * this.p[i1][k]) + (-this.c * this.p[i2][k]);
+ var x3 = (-this.c * this.p[i0][k]) + (this.c * this.p[i1][k]);
+ var x4 = this.p[i][k];
+ retVal[k] = x1 * u3 + x2 * u2 + x3 * u + x4;
+ }
+ return retVal;
+ };
+ if (!c) {
+ this.c = 0.7;
+ } else {
+ this.c = c;
+ }
+ this.p = pnts;
+ return this;
+ },
+ Arc:function (start, end, ccw){
+ function translate(a,b){
+ var c=new Array(a.length);
+ for(var i=0; i<a.length; i++){ c[i]=a[i]+b[i]; }
+ return c;
+ }
+ function invert(a){
+ var b = new Array(a.length);
+ for(var i=0; i<a.length; i++){ b[i]=-a[i]; }
+ return b;
+ }
+ var center = dojox.math.midpoint(start, end);
+ var sides = translate(invert(center), start);
+ var rad = Math.sqrt(Math.pow(sides[0], 2) + Math.pow(sides[1], 2));
+ var theta = dojox.math.radiansToDegrees(Math.atan(sides[1] / sides[0]));
+ if (sides[0] < 0){
+ theta -= 90;
+ } else {
+ theta += 90;
+ }
+ dojox.math.curves.CenteredArc.call(this, center, rad, theta, theta + (ccw ? -180 : 180));
+ },
+ CenteredArc:function (center, radius, start, end) {
+ this.center = center;
+ this.radius = radius;
+ this.start = start || 0;
+ this.end = end;
+ this.getValue = function (n) {
+ var retVal = new Array(2);
+ var theta = dojox.math.degreesToRadians(this.start + ((this.end - this.start) * n));
+ retVal[0] = this.center[0] + this.radius * Math.sin(theta);
+ retVal[1] = this.center[1] - this.radius * Math.cos(theta);
+ return retVal;
+ };
+ return this;
+ },
+ Circle:function(center, radius){
+ dojox.math.curves.CenteredArc.call(this, center, radius, 0, 360);
+ return this;
+ },
+ Path:function () {
+ var curves = [];
+ var weights = [];
+ var ranges = [];
+ var totalWeight = 0;
+ this.add = function (curve, weight) {
+ if (weight < 0) {
+ console.error("dojox.math.curves.Path.add: weight cannot be less than 0");
+ }
+ curves.push(curve);
+ weights.push(weight);
+ totalWeight += weight;
+ computeRanges();
+ };
+ this.remove = function (curve) {
+ for (var i = 0; i < curves.length; i++) {
+ if (curves[i] == curve) {
+ curves.splice(i, 1);
+ totalWeight -= weights.splice(i, 1)[0];
+ break;
+ }
+ }
+ computeRanges();
+ };
+ this.removeAll = function () {
+ curves = [];
+ weights = [];
+ totalWeight = 0;
+ };
+ this.getValue = function (n) {
+ var found = false, value = 0;
+ for (var i = 0; i < ranges.length; i++) {
+ var r = ranges[i];
+ if (n >= r[0] && n < r[1]) {
+ var subN = (n - r[0]) / r[2];
+ value = curves[i].getValue(subN);
+ found = true;
+ break;
+ }
+ }
+ if (!found) {
+ value = curves[curves.length - 1].getValue(1);
+ }
+ for (var j = 0; j < i; j++) {
+ value = dojox.math.points.translate(value, curves[j].getValue(1));
+ }
+ return value;
+ };
+ function computeRanges() {
+ var start = 0;
+ for (var i = 0; i < weights.length; i++) {
+ var end = start + weights[i] / totalWeight;
+ var len = end - start;
+ ranges[i] = [start, end, len];
+ start = end;
+ }
+ }
+ return this;
+ }
+});
+
+}
diff --git a/includes/js/dojox/math/matrix.js b/includes/js/dojox/math/matrix.js
new file mode 100644
index 0000000..386bad3
--- /dev/null
+++ b/includes/js/dojox/math/matrix.js
@@ -0,0 +1,294 @@
+if(!dojo._hasResource["dojox.math.matrix"]){ //_hasResource checks added by build. Do not use _hasResource directly in your code.
+dojo._hasResource["dojox.math.matrix"] = true;
+dojo.provide("dojox.math.matrix");
+
+dojo.mixin(dojox.math.matrix, {
+ iDF:0,
+ ALMOST_ZERO: 1e-10,
+ multiply: function(/* Array */a, /* Array */b){
+ // summary
+ // Multiply matrix a by matrix b.
+ var ay=a.length, ax=a[0].length, by=b.length, bx=b[0].length;
+ if(ax!=by){
+ console.warn("Can't multiply matricies of sizes " + ax + "," + ay + " and " + bx + "," + by);
+ return [[0]];
+ }
+ var c=[];
+ for (var k=0; k<ay; k++) {
+ c[k]=[];
+ for(var i=0; i<bx; i++){
+ c[k][i]=0;
+ for(var m=0; m<ax; m++){
+ c[k][i]+=a[k][m]*b[m][i];
+ }
+ }
+ }
+ return c; // Array
+ },
+ product: function(/* Array... */){
+ // summary
+ // Return the product of N matrices
+ if (arguments.length==0){
+ console.warn("can't multiply 0 matrices!");
+ return 1;
+ }
+ var m=arguments[0];
+ for(var i=1; i<arguments.length; i++){
+ m=this.multiply(m, arguments[i]);
+ }
+ return m; // Array
+ },
+ sum: function(/* Array... */){
+ // summary
+ // Return the sum of N matrices
+ if(arguments.length==0){
+ console.warn("can't sum 0 matrices!");
+ return 0; // Number
+ }
+ var m=this.copy(arguments[0]);
+ var rows=m.length;
+ if(rows==0){
+ console.warn("can't deal with matrices of 0 rows!");
+ return 0;
+ }
+ var cols=m[0].length;
+ if(cols==0){
+ console.warn("can't deal with matrices of 0 cols!");
+ return 0;
+ }
+ for(var i=1; i<arguments.length; ++i){
+ var arg=arguments[i];
+ if(arg.length!=rows || arg[0].length!=cols){
+ console.warn("can't add matrices of different dimensions: first dimensions were " + rows + "x" + cols + ", current dimensions are " + arg.length + "x" + arg[0].length);
+ return 0;
+ }
+ for(var r=0; r<rows; r++) {
+ for(var c=0; c<cols; c++) {
+ m[r][c]+=arg[r][c];
+ }
+ }
+ }
+ return m; // Array
+ },
+ inverse: function(/* Array */a){
+ // summary
+ // Return the inversion of the passed matrix
+ if(a.length==1 && a[0].length==1){
+ return [[1/a[0][0]]]; // Array
+ }
+ var tms=a.length, m=this.create(tms, tms), mm=this.adjoint(a), det=this.determinant(a), dd=0;
+ if(det==0){
+ console.warn("Determinant Equals 0, Not Invertible.");
+ return [[0]];
+ }else{
+ dd=1/det;
+ }
+ for(var i=0; i<tms; i++) {
+ for (var j=0; j<tms; j++) {
+ m[i][j]=dd*mm[i][j];
+ }
+ }
+ return m; // Array
+ },
+ determinant: function(/* Array */a){
+ // summary
+ // Calculate the determinant of the passed square matrix.
+ if(a.length!=a[0].length){
+ console.warn("Can't calculate the determinant of a non-squre matrix!");
+ return 0;
+ }
+ var tms=a.length, det=1, b=this.upperTriangle(a);
+ for (var i=0; i<tms; i++){
+ var bii=b[i][i];
+ if (Math.abs(bii)<this.ALMOST_ZERO) {
+ return 0; // Number
+ }
+ det*=bii;
+ }
+ det*=this.iDF;
+ return det; // Number
+ },
+ upperTriangle: function(/* Array */m){
+ // Summary
+ // Find the upper triangle of the passed matrix and return it.
+ m=this.copy(m);
+ var f1=0, temp=0, tms=m.length, v=1;
+ this.iDF=1;
+ for(var col=0; col<tms-1; col++){
+ if(typeof m[col][col]!="number") {
+ console.warn("non-numeric entry found in a numeric matrix: m[" + col + "][" + col + "]=" + m[col][col]);
+ }
+ v=1;
+ var stop_loop=0;
+ while((m[col][col] == 0) && !stop_loop){
+ if (col+v>=tms){
+ this.iDF=0;
+ stop_loop=1;
+ }else{
+ for(var r=0; r<tms; r++){
+ temp=m[col][r];
+ m[col][r]=m[col+v][r];
+ m[col+v][r]=temp;
+ }
+ v++;
+ this.iDF*=-1;
+ }
+ }
+ for(var row=col+1; row<tms; row++){
+ if(typeof m[row][col]!="number"){
+ console.warn("non-numeric entry found in a numeric matrix: m[" + row + "][" + col + "]=" + m[row][col]);
+ }
+ if(typeof m[col][row]!="number"){
+ console.warn("non-numeric entry found in a numeric matrix: m[" + col + "][" + row + "]=" + m[col][row]);
+ }
+ if(m[col][col]!=0){
+ var f1=(-1)* m[row][col]/m[col][col];
+ for (var i=col; i<tms; i++){
+ m[row][i]=f1*m[col][i]+m[row][i];
+ }
+ }
+ }
+ }
+ return m; // Array
+ },
+ create: function(/* Number */a, /* Number */b, /* Number? */value){
+ // summary
+ // Create a new matrix with rows a and cols b, and pre-populate with value.
+ value=value||0;
+ var m=[];
+ for (var i=0; i<b; i++){
+ m[i]=[];
+ for(var j=0; j<a; j++) {
+ m[i][j]=value;
+ }
+ }
+ return m; // Array
+ },
+ ones: function(/* Number */a, /* Number */b){
+ // summary
+ // Create a matrix pre-populated with ones
+ return this.create(a, b, 1); // Array
+ },
+ zeros: function(/* Number */a, /* Number */b){
+ // summary
+ // Create a matrix pre-populated with zeros
+ return this.create(a, b); // Array
+ },
+ identity: function(/* Number */size, /* Number? */scale){
+ // summary
+ // Create an identity matrix based on the size and scale.
+ scale=scale||1;
+ var m=[];
+ for(var i=0; i<size; i++){
+ m[i]=[];
+ for(var j=0; j<size; j++){
+ m[i][j]=(i==j?scale:0);
+ }
+ }
+ return m; // Array
+ },
+ adjoint: function(/* Array */a){
+ // summary
+ // Find the adjoint of the passed matrix
+ var tms=a.length;
+ if(tms<=1){
+ console.warn("Can't find the adjoint of a matrix with a dimension less than 2");
+ return [[0]];
+ }
+ if(a.length!=a[0].length){
+ console.warn("Can't find the adjoint of a non-square matrix");
+ return [[0]];
+ }
+ var m=this.create(tms, tms), ap=this.create(tms-1, tms-1);
+ var ii=0, jj=0, ia=0, ja=0, det=0;
+ for(var i=0; i<tms; i++){
+ for (var j=0; j<tms; j++){
+ ia=0;
+ for(ii=0; ii<tms; ii++){
+ if(ii==i){
+ continue;
+ }
+ ja = 0;
+ for(jj=0; jj<tms; jj++){
+ if(jj==j){
+ continue;
+ }
+ ap[ia][ja] = a[ii][jj];
+ ja++;
+ }
+ ia++;
+ }
+ det=this.determinant(ap);
+ m[i][j]=Math.pow(-1, (i+j))*det;
+ }
+ }
+ return this.transpose(m); // Array
+ },
+ transpose: function(/* Array */a){
+ // summary
+ // Transpose the passed matrix (i.e. rows to columns)
+ var m=this.create(a.length, a[0].length);
+ for(var i=0; i<a.length; i++){
+ for(var j=0; j<a[i].length; j++){
+ m[j][i]=a[i][j];
+ }
+ }
+ return m; // Array
+ },
+ format: function(/* Array */a, /* Number? */points){
+ // summary
+ // Return a string representation of the matrix, rounded to points (if needed)
+ points=points||5;
+ function format_int(x, dp){
+ var fac=Math.pow(10, dp);
+ var a=Math.round(x*fac)/fac;
+ var b=a.toString();
+ if(b.charAt(0)!="-"){
+ b=" "+b;
+ }
+ if(b.indexOf(".")>-1){
+ b+=".";
+ }
+ while(b.length<dp+3){
+ b+="0";
+ }
+ return b;
+ }
+ var ya=a.length;
+ var xa=ya>0?a[0].length:0;
+ var buffer="";
+ for(var y=0; y<ya; y++){
+ buffer+="| ";
+ for(var x=0; x<xa; x++){
+ buffer+=format_int(a[y][x], points)+" ";
+ }
+ buffer+="|\n";
+ }
+ return buffer; // string
+ },
+ copy: function(/* Array */a){
+ // summary
+ // Create a copy of the passed matrix
+ var ya=a.length, xa=a[0].length, m=this.create(xa, ya);
+ for(var y=0; y<ya; y++){
+ for(var x=0; x<xa; x++){
+ m[y][x]=a[y][x];
+ }
+ }
+ return m; // Array
+ },
+ scale: function(/* Array */a, /* Number */factor){
+ // summary
+ // Create a copy of passed matrix and scale each member by factor.
+ a=this.copy(a);
+ var ya=a.length, xa=a[0].length;
+ for(var y=0; y<ya; y++){
+ for(var x=0; x<xa; x++){
+ a[y][x]*=factor;
+ }
+ }
+ return a;
+ }
+});
+
+}
generated by cgit v1.2.3 (git 2.39.1) at 2024-11-15 08:43:32 +0000