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