access-nbody.html 5.7 KB

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  1. <!DOCTYPE html>
  2. <head>
  3. <!--
  4. Copyright (C) 2007 Apple Inc. All rights reserved.
  5. Redistribution and use in source and binary forms, with or without
  6. modification, are permitted provided that the following conditions
  7. are met:
  8. 1. Redistributions of source code must retain the above copyright
  9. notice, this list of conditions and the following disclaimer.
  10. 2. Redistributions in binary form must reproduce the above copyright
  11. notice, this list of conditions and the following disclaimer in the
  12. documentation and/or other materials provided with the distribution.
  13. THIS SOFTWARE IS PROVIDED BY APPLE COMPUTER, INC. ``AS IS'' AND ANY
  14. EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
  15. IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
  16. PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL APPLE COMPUTER, INC. OR
  17. CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
  18. EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
  19. PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
  20. PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
  21. OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
  22. (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
  23. OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
  24. -->
  25. <title>SunSpider access-nbody</title>
  26. </head>
  27. <body>
  28. <h3>access-nbody</h3>
  29. <div id="console">
  30. </div>
  31. <script>
  32. var _sunSpiderStartDate = new Date();
  33. /* The Great Computer Language Shootout
  34. http://shootout.alioth.debian.org/
  35. contributed by Isaac Gouy */
  36. var PI = 3.141592653589793;
  37. var SOLAR_MASS = 4 * PI * PI;
  38. var DAYS_PER_YEAR = 365.24;
  39. function Body(x,y,z,vx,vy,vz,mass){
  40. this.x = x;
  41. this.y = y;
  42. this.z = z;
  43. this.vx = vx;
  44. this.vy = vy;
  45. this.vz = vz;
  46. this.mass = mass;
  47. }
  48. Body.prototype.offsetMomentum = function(px,py,pz) {
  49. this.vx = -px / SOLAR_MASS;
  50. this.vy = -py / SOLAR_MASS;
  51. this.vz = -pz / SOLAR_MASS;
  52. return this;
  53. }
  54. function Jupiter(){
  55. return new Body(
  56. 4.84143144246472090e+00,
  57. -1.16032004402742839e+00,
  58. -1.03622044471123109e-01,
  59. 1.66007664274403694e-03 * DAYS_PER_YEAR,
  60. 7.69901118419740425e-03 * DAYS_PER_YEAR,
  61. -6.90460016972063023e-05 * DAYS_PER_YEAR,
  62. 9.54791938424326609e-04 * SOLAR_MASS
  63. );
  64. }
  65. function Saturn(){
  66. return new Body(
  67. 8.34336671824457987e+00,
  68. 4.12479856412430479e+00,
  69. -4.03523417114321381e-01,
  70. -2.76742510726862411e-03 * DAYS_PER_YEAR,
  71. 4.99852801234917238e-03 * DAYS_PER_YEAR,
  72. 2.30417297573763929e-05 * DAYS_PER_YEAR,
  73. 2.85885980666130812e-04 * SOLAR_MASS
  74. );
  75. }
  76. function Uranus(){
  77. return new Body(
  78. 1.28943695621391310e+01,
  79. -1.51111514016986312e+01,
  80. -2.23307578892655734e-01,
  81. 2.96460137564761618e-03 * DAYS_PER_YEAR,
  82. 2.37847173959480950e-03 * DAYS_PER_YEAR,
  83. -2.96589568540237556e-05 * DAYS_PER_YEAR,
  84. 4.36624404335156298e-05 * SOLAR_MASS
  85. );
  86. }
  87. function Neptune(){
  88. return new Body(
  89. 1.53796971148509165e+01,
  90. -2.59193146099879641e+01,
  91. 1.79258772950371181e-01,
  92. 2.68067772490389322e-03 * DAYS_PER_YEAR,
  93. 1.62824170038242295e-03 * DAYS_PER_YEAR,
  94. -9.51592254519715870e-05 * DAYS_PER_YEAR,
  95. 5.15138902046611451e-05 * SOLAR_MASS
  96. );
  97. }
  98. function Sun(){
  99. return new Body(0.0, 0.0, 0.0, 0.0, 0.0, 0.0, SOLAR_MASS);
  100. }
  101. function NBodySystem(bodies){
  102. this.bodies = bodies;
  103. var px = 0.0;
  104. var py = 0.0;
  105. var pz = 0.0;
  106. var size = this.bodies.length;
  107. for (var i=0; i<size; i++){
  108. var b = this.bodies[i];
  109. var m = b.mass;
  110. px += b.vx * m;
  111. py += b.vy * m;
  112. pz += b.vz * m;
  113. }
  114. this.bodies[0].offsetMomentum(px,py,pz);
  115. }
  116. NBodySystem.prototype.advance = function(dt){
  117. var dx, dy, dz, distance, mag;
  118. var size = this.bodies.length;
  119. for (var i=0; i<size; i++) {
  120. var bodyi = this.bodies[i];
  121. for (var j=i+1; j<size; j++) {
  122. var bodyj = this.bodies[j];
  123. dx = bodyi.x - bodyj.x;
  124. dy = bodyi.y - bodyj.y;
  125. dz = bodyi.z - bodyj.z;
  126. distance = Math.sqrt(dx*dx + dy*dy + dz*dz);
  127. mag = dt / (distance * distance * distance);
  128. bodyi.vx -= dx * bodyj.mass * mag;
  129. bodyi.vy -= dy * bodyj.mass * mag;
  130. bodyi.vz -= dz * bodyj.mass * mag;
  131. bodyj.vx += dx * bodyi.mass * mag;
  132. bodyj.vy += dy * bodyi.mass * mag;
  133. bodyj.vz += dz * bodyi.mass * mag;
  134. }
  135. }
  136. for (var i=0; i<size; i++) {
  137. var body = this.bodies[i];
  138. body.x += dt * body.vx;
  139. body.y += dt * body.vy;
  140. body.z += dt * body.vz;
  141. }
  142. }
  143. NBodySystem.prototype.energy = function(){
  144. var dx, dy, dz, distance;
  145. var e = 0.0;
  146. var size = this.bodies.length;
  147. for (var i=0; i<size; i++) {
  148. var bodyi = this.bodies[i];
  149. e += 0.5 * bodyi.mass *
  150. ( bodyi.vx * bodyi.vx
  151. + bodyi.vy * bodyi.vy
  152. + bodyi.vz * bodyi.vz );
  153. for (var j=i+1; j<size; j++) {
  154. var bodyj = this.bodies[j];
  155. dx = bodyi.x - bodyj.x;
  156. dy = bodyi.y - bodyj.y;
  157. dz = bodyi.z - bodyj.z;
  158. distance = Math.sqrt(dx*dx + dy*dy + dz*dz);
  159. e -= (bodyi.mass * bodyj.mass) / distance;
  160. }
  161. }
  162. return e;
  163. }
  164. var ret;
  165. for ( var n = 3; n <= 24; n *= 2 ) {
  166. (function(){
  167. var bodies = new NBodySystem( Array(
  168. Sun(),Jupiter(),Saturn(),Uranus(),Neptune()
  169. ));
  170. var max = n * 100;
  171. ret = bodies.energy();
  172. for (var i=0; i<max; i++){
  173. bodies.advance(0.01);
  174. }
  175. ret = bodies.energy();
  176. })();
  177. }
  178. var _sunSpiderInterval = new Date() - _sunSpiderStartDate;
  179. document.getElementById("console").innerHTML = _sunSpiderInterval;
  180. </script>
  181. </body>
  182. </html>