michael@0: /**
michael@0:  * Copyright 2012 the V8 project authors. All rights reserved.
michael@0:  * Copyright 2009 Oliver Hunt <http://nerget.com>
michael@0:  *
michael@0:  * Permission is hereby granted, free of charge, to any person
michael@0:  * obtaining a copy of this software and associated documentation
michael@0:  * files (the "Software"), to deal in the Software without
michael@0:  * restriction, including without limitation the rights to use,
michael@0:  * copy, modify, merge, publish, distribute, sublicense, and/or sell
michael@0:  * copies of the Software, and to permit persons to whom the
michael@0:  * Software is furnished to do so, subject to the following
michael@0:  * conditions:
michael@0:  *
michael@0:  * The above copyright notice and this permission notice shall be
michael@0:  * included in all copies or substantial portions of the Software.
michael@0:  *
michael@0:  * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
michael@0:  * EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
michael@0:  * OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
michael@0:  * NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
michael@0:  * HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
michael@0:  * WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
michael@0:  * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
michael@0:  * OTHER DEALINGS IN THE SOFTWARE.
michael@0:  */
michael@0: 
michael@0: var NavierStokes = new BenchmarkSuite('NavierStokes', 1484000,
michael@0:                                       [new Benchmark('NavierStokes',
michael@0:                                                      runNavierStokes,
michael@0:                                                      setupNavierStokes,
michael@0:                                                      tearDownNavierStokes)]);
michael@0: 
michael@0: var solver = null;
michael@0: 
michael@0: function runNavierStokes()
michael@0: {
michael@0:     solver.update();
michael@0: }
michael@0: 
michael@0: function setupNavierStokes()
michael@0: {
michael@0:     solver = new FluidField(null);
michael@0:     solver.setResolution(128, 128);
michael@0:     solver.setIterations(20);
michael@0:     solver.setDisplayFunction(function(){});
michael@0:     solver.setUICallback(prepareFrame);
michael@0:     solver.reset();
michael@0: }
michael@0: 
michael@0: function tearDownNavierStokes()
michael@0: {
michael@0:     solver = null;
michael@0: }
michael@0: 
michael@0: function addPoints(field) {
michael@0:     var n = 64;
michael@0:     for (var i = 1; i <= n; i++) {
michael@0:         field.setVelocity(i, i, n, n);
michael@0:         field.setDensity(i, i, 5);
michael@0:         field.setVelocity(i, n - i, -n, -n);
michael@0:         field.setDensity(i, n - i, 20);
michael@0:         field.setVelocity(128 - i, n + i, -n, -n);
michael@0:         field.setDensity(128 - i, n + i, 30);
michael@0:     }
michael@0: }
michael@0: 
michael@0: var framesTillAddingPoints = 0;
michael@0: var framesBetweenAddingPoints = 5;
michael@0: 
michael@0: function prepareFrame(field)
michael@0: {
michael@0:     if (framesTillAddingPoints == 0) {
michael@0:         addPoints(field);
michael@0:         framesTillAddingPoints = framesBetweenAddingPoints;
michael@0:         framesBetweenAddingPoints++;
michael@0:     } else {
michael@0:         framesTillAddingPoints--;
michael@0:     }
michael@0: }
michael@0: 
michael@0: // Code from Oliver Hunt (http://nerget.com/fluidSim/pressure.js) starts here.
michael@0: function FluidField(canvas) {
michael@0:     function addFields(x, s, dt)
michael@0:     {
michael@0:         for (var i=0; i<size ; i++ ) x[i] += dt*s[i];
michael@0:     }
michael@0: 
michael@0:     function set_bnd(b, x)
michael@0:     {
michael@0:         if (b===1) {
michael@0:             for (var i = 1; i <= width; i++) {
michael@0:                 x[i] =  x[i + rowSize];
michael@0:                 x[i + (height+1) *rowSize] = x[i + height * rowSize];
michael@0:             }
michael@0: 
michael@0:             for (var j = 1; i <= height; i++) {
michael@0:                 x[j * rowSize] = -x[1 + j * rowSize];
michael@0:                 x[(width + 1) + j * rowSize] = -x[width + j * rowSize];
michael@0:             }
michael@0:         } else if (b === 2) {
michael@0:             for (var i = 1; i <= width; i++) {
michael@0:                 x[i] = -x[i + rowSize];
michael@0:                 x[i + (height + 1) * rowSize] = -x[i + height * rowSize];
michael@0:             }
michael@0: 
michael@0:             for (var j = 1; j <= height; j++) {
michael@0:                 x[j * rowSize] =  x[1 + j * rowSize];
michael@0:                 x[(width + 1) + j * rowSize] =  x[width + j * rowSize];
michael@0:             }
michael@0:         } else {
michael@0:             for (var i = 1; i <= width; i++) {
michael@0:                 x[i] =  x[i + rowSize];
michael@0:                 x[i + (height + 1) * rowSize] = x[i + height * rowSize];
michael@0:             }
michael@0: 
michael@0:             for (var j = 1; j <= height; j++) {
michael@0:                 x[j * rowSize] =  x[1 + j * rowSize];
michael@0:                 x[(width + 1) + j * rowSize] =  x[width + j * rowSize];
michael@0:             }
michael@0:         }
michael@0:         var maxEdge = (height + 1) * rowSize;
michael@0:         x[0]                 = 0.5 * (x[1] + x[rowSize]);
michael@0:         x[maxEdge]           = 0.5 * (x[1 + maxEdge] + x[height * rowSize]);
michael@0:         x[(width+1)]         = 0.5 * (x[width] + x[(width + 1) + rowSize]);
michael@0:         x[(width+1)+maxEdge] = 0.5 * (x[width + maxEdge] + x[(width + 1) + height * rowSize]);
michael@0:     }
michael@0: 
michael@0:     function lin_solve(b, x, x0, a, c)
michael@0:     {
michael@0:         if (a === 0 && c === 1) {
michael@0:             for (var j=1 ; j<=height; j++) {
michael@0:                 var currentRow = j * rowSize;
michael@0:                 ++currentRow;
michael@0:                 for (var i = 0; i < width; i++) {
michael@0:                     x[currentRow] = x0[currentRow];
michael@0:                     ++currentRow;
michael@0:                 }
michael@0:             }
michael@0:             set_bnd(b, x);
michael@0:         } else {
michael@0:             var invC = 1 / c;
michael@0:             for (var k=0 ; k<iterations; k++) {
michael@0:                 for (var j=1 ; j<=height; j++) {
michael@0:                     var lastRow = (j - 1) * rowSize;
michael@0:                     var currentRow = j * rowSize;
michael@0:                     var nextRow = (j + 1) * rowSize;
michael@0:                     var lastX = x[currentRow];
michael@0:                     ++currentRow;
michael@0:                     for (var i=1; i<=width; i++)
michael@0:                         lastX = x[currentRow] = (x0[currentRow] + a*(lastX+x[++currentRow]+x[++lastRow]+x[++nextRow])) * invC;
michael@0:                 }
michael@0:                 set_bnd(b, x);
michael@0:             }
michael@0:         }
michael@0:     }
michael@0: 
michael@0:     function diffuse(b, x, x0, dt)
michael@0:     {
michael@0:         var a = 0;
michael@0:         lin_solve(b, x, x0, a, 1 + 4*a);
michael@0:     }
michael@0: 
michael@0:     function lin_solve2(x, x0, y, y0, a, c)
michael@0:     {
michael@0:         if (a === 0 && c === 1) {
michael@0:             for (var j=1 ; j <= height; j++) {
michael@0:                 var currentRow = j * rowSize;
michael@0:                 ++currentRow;
michael@0:                 for (var i = 0; i < width; i++) {
michael@0:                     x[currentRow] = x0[currentRow];
michael@0:                     y[currentRow] = y0[currentRow];
michael@0:                     ++currentRow;
michael@0:                 }
michael@0:             }
michael@0:             set_bnd(1, x);
michael@0:             set_bnd(2, y);
michael@0:         } else {
michael@0:             var invC = 1/c;
michael@0:             for (var k=0 ; k<iterations; k++) {
michael@0:                 for (var j=1 ; j <= height; j++) {
michael@0:                     var lastRow = (j - 1) * rowSize;
michael@0:                     var currentRow = j * rowSize;
michael@0:                     var nextRow = (j + 1) * rowSize;
michael@0:                     var lastX = x[currentRow];
michael@0:                     var lastY = y[currentRow];
michael@0:                     ++currentRow;
michael@0:                     for (var i = 1; i <= width; i++) {
michael@0:                         lastX = x[currentRow] = (x0[currentRow] + a * (lastX + x[currentRow] + x[lastRow] + x[nextRow])) * invC;
michael@0:                         lastY = y[currentRow] = (y0[currentRow] + a * (lastY + y[++currentRow] + y[++lastRow] + y[++nextRow])) * invC;
michael@0:                     }
michael@0:                 }
michael@0:                 set_bnd(1, x);
michael@0:                 set_bnd(2, y);
michael@0:             }
michael@0:         }
michael@0:     }
michael@0: 
michael@0:     function diffuse2(x, x0, y, y0, dt)
michael@0:     {
michael@0:         var a = 0;
michael@0:         lin_solve2(x, x0, y, y0, a, 1 + 4 * a);
michael@0:     }
michael@0: 
michael@0:     function advect(b, d, d0, u, v, dt)
michael@0:     {
michael@0:         var Wdt0 = dt * width;
michael@0:         var Hdt0 = dt * height;
michael@0:         var Wp5 = width + 0.5;
michael@0:         var Hp5 = height + 0.5;
michael@0:         for (var j = 1; j<= height; j++) {
michael@0:             var pos = j * rowSize;
michael@0:             for (var i = 1; i <= width; i++) {
michael@0:                 var x = i - Wdt0 * u[++pos];
michael@0:                 var y = j - Hdt0 * v[pos];
michael@0:                 if (x < 0.5)
michael@0:                     x = 0.5;
michael@0:                 else if (x > Wp5)
michael@0:                     x = Wp5;
michael@0:                 var i0 = x | 0;
michael@0:                 var i1 = i0 + 1;
michael@0:                 if (y < 0.5)
michael@0:                     y = 0.5;
michael@0:                 else if (y > Hp5)
michael@0:                     y = Hp5;
michael@0:                 var j0 = y | 0;
michael@0:                 var j1 = j0 + 1;
michael@0:                 var s1 = x - i0;
michael@0:                 var s0 = 1 - s1;
michael@0:                 var t1 = y - j0;
michael@0:                 var t0 = 1 - t1;
michael@0:                 var row1 = j0 * rowSize;
michael@0:                 var row2 = j1 * rowSize;
michael@0:                 d[pos] = s0 * (t0 * d0[i0 + row1] + t1 * d0[i0 + row2]) + s1 * (t0 * d0[i1 + row1] + t1 * d0[i1 + row2]);
michael@0:             }
michael@0:         }
michael@0:         set_bnd(b, d);
michael@0:     }
michael@0: 
michael@0:     function project(u, v, p, div)
michael@0:     {
michael@0:         var h = -0.5 / Math.sqrt(width * height);
michael@0:         for (var j = 1 ; j <= height; j++ ) {
michael@0:             var row = j * rowSize;
michael@0:             var previousRow = (j - 1) * rowSize;
michael@0:             var prevValue = row - 1;
michael@0:             var currentRow = row;
michael@0:             var nextValue = row + 1;
michael@0:             var nextRow = (j + 1) * rowSize;
michael@0:             for (var i = 1; i <= width; i++ ) {
michael@0:                 div[++currentRow] = h * (u[++nextValue] - u[++prevValue] + v[++nextRow] - v[++previousRow]);
michael@0:                 p[currentRow] = 0;
michael@0:             }
michael@0:         }
michael@0:         set_bnd(0, div);
michael@0:         set_bnd(0, p);
michael@0: 
michael@0:         lin_solve(0, p, div, 1, 4 );
michael@0:         var wScale = 0.5 * width;
michael@0:         var hScale = 0.5 * height;
michael@0:         for (var j = 1; j<= height; j++ ) {
michael@0:             var prevPos = j * rowSize - 1;
michael@0:             var currentPos = j * rowSize;
michael@0:             var nextPos = j * rowSize + 1;
michael@0:             var prevRow = (j - 1) * rowSize;
michael@0:             var currentRow = j * rowSize;
michael@0:             var nextRow = (j + 1) * rowSize;
michael@0: 
michael@0:             for (var i = 1; i<= width; i++) {
michael@0:                 u[++currentPos] -= wScale * (p[++nextPos] - p[++prevPos]);
michael@0:                 v[currentPos]   -= hScale * (p[++nextRow] - p[++prevRow]);
michael@0:             }
michael@0:         }
michael@0:         set_bnd(1, u);
michael@0:         set_bnd(2, v);
michael@0:     }
michael@0: 
michael@0:     function dens_step(x, x0, u, v, dt)
michael@0:     {
michael@0:         addFields(x, x0, dt);
michael@0:         diffuse(0, x0, x, dt );
michael@0:         advect(0, x, x0, u, v, dt );
michael@0:     }
michael@0: 
michael@0:     function vel_step(u, v, u0, v0, dt)
michael@0:     {
michael@0:         addFields(u, u0, dt );
michael@0:         addFields(v, v0, dt );
michael@0:         var temp = u0; u0 = u; u = temp;
michael@0:         var temp = v0; v0 = v; v = temp;
michael@0:         diffuse2(u,u0,v,v0, dt);
michael@0:         project(u, v, u0, v0);
michael@0:         var temp = u0; u0 = u; u = temp;
michael@0:         var temp = v0; v0 = v; v = temp;
michael@0:         advect(1, u, u0, u0, v0, dt);
michael@0:         advect(2, v, v0, u0, v0, dt);
michael@0:         project(u, v, u0, v0 );
michael@0:     }
michael@0:     var uiCallback = function(d,u,v) {};
michael@0: 
michael@0:     function Field(dens, u, v) {
michael@0:         // Just exposing the fields here rather than using accessors is a measurable win during display (maybe 5%)
michael@0:         // but makes the code ugly.
michael@0:         this.setDensity = function(x, y, d) {
michael@0:              dens[(x + 1) + (y + 1) * rowSize] = d;
michael@0:         }
michael@0:         this.getDensity = function(x, y) {
michael@0:              return dens[(x + 1) + (y + 1) * rowSize];
michael@0:         }
michael@0:         this.setVelocity = function(x, y, xv, yv) {
michael@0:              u[(x + 1) + (y + 1) * rowSize] = xv;
michael@0:              v[(x + 1) + (y + 1) * rowSize] = yv;
michael@0:         }
michael@0:         this.getXVelocity = function(x, y) {
michael@0:              return u[(x + 1) + (y + 1) * rowSize];
michael@0:         }
michael@0:         this.getYVelocity = function(x, y) {
michael@0:              return v[(x + 1) + (y + 1) * rowSize];
michael@0:         }
michael@0:         this.width = function() { return width; }
michael@0:         this.height = function() { return height; }
michael@0:     }
michael@0:     function queryUI(d, u, v)
michael@0:     {
michael@0:         for (var i = 0; i < size; i++)
michael@0:             u[i] = v[i] = d[i] = 0.0;
michael@0:         uiCallback(new Field(d, u, v));
michael@0:     }
michael@0: 
michael@0:     this.update = function () {
michael@0:         queryUI(dens_prev, u_prev, v_prev);
michael@0:         vel_step(u, v, u_prev, v_prev, dt);
michael@0:         dens_step(dens, dens_prev, u, v, dt);
michael@0:         displayFunc(new Field(dens, u, v));
michael@0:     }
michael@0:     this.setDisplayFunction = function(func) {
michael@0:         displayFunc = func;
michael@0:     }
michael@0: 
michael@0:     this.iterations = function() { return iterations; }
michael@0:     this.setIterations = function(iters) {
michael@0:         if (iters > 0 && iters <= 100)
michael@0:            iterations = iters;
michael@0:     }
michael@0:     this.setUICallback = function(callback) {
michael@0:         uiCallback = callback;
michael@0:     }
michael@0:     var iterations = 10;
michael@0:     var visc = 0.5;
michael@0:     var dt = 0.1;
michael@0:     var dens;
michael@0:     var dens_prev;
michael@0:     var u;
michael@0:     var u_prev;
michael@0:     var v;
michael@0:     var v_prev;
michael@0:     var width;
michael@0:     var height;
michael@0:     var rowSize;
michael@0:     var size;
michael@0:     var displayFunc;
michael@0:     function reset()
michael@0:     {
michael@0:         rowSize = width + 2;
michael@0:         size = (width+2)*(height+2);
michael@0:         dens = new Array(size);
michael@0:         dens_prev = new Array(size);
michael@0:         u = new Array(size);
michael@0:         u_prev = new Array(size);
michael@0:         v = new Array(size);
michael@0:         v_prev = new Array(size);
michael@0:         for (var i = 0; i < size; i++)
michael@0:             dens_prev[i] = u_prev[i] = v_prev[i] = dens[i] = u[i] = v[i] = 0;
michael@0:     }
michael@0:     this.reset = reset;
michael@0:     this.setResolution = function (hRes, wRes)
michael@0:     {
michael@0:         var res = wRes * hRes;
michael@0:         if (res > 0 && res < 1000000 && (wRes != width || hRes != height)) {
michael@0:             width = wRes;
michael@0:             height = hRes;
michael@0:             reset();
michael@0:             return true;
michael@0:         }
michael@0:         return false;
michael@0:     }
michael@0:     this.setResolution(64, 64);
michael@0: }