Index: benchmarks/navier-stokes.js |
diff --git a/benchmarks/navier-stokes.js b/benchmarks/navier-stokes.js |
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+++ b/benchmarks/navier-stokes.js |
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+/** |
+ * 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); |
+} |