Difference between revisions of "CoE Cluster April 2012"

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Mandelbort Set drawn in 0,12 seconds, using a single NVidia CUDA capable graphics card (GeForce GTX 460) running 32 blocks and 128 threads in each block.
 
Mandelbort Set drawn in 0,12 seconds, using a single NVidia CUDA capable graphics card (GeForce GTX 460) running 32 blocks and 128 threads in each block.
 
<html>
 
<head>
 
<script type="text/javascript">
 
/* CUDA Benchmarking Mandelbrot Fractal
 
* Anders Kjeldsen
 
* Mercantec
 
* 20. April 2012
 
*
 
* Jeg har kørt en CUDA baseret c++ program der beregner tid på hvor
 
* lang tid det tager, at rendere et 512*512 billede med mandelbrot.
 
*
 
* Parameter til programmet for alle resultater på den her graph er:
 
* Real: 0.064000
 
* Imag: 0.647000
 
* Size: 0.500000
 
*
 
* Serveren der har kørt programmet har:
 
* GPU: GeForce GTX 460
 
* CPU: Intel(R) Core(TM) i7 CPU 950  @ 3.07GHz
 
* Den kører piss' hurti'!
 
*/
 
 
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(e.point.events[a]||d.options&&d.options.events&&d.options.events[a])&&this.importEvents();a==="click"&&e.allowPointSelect&&(c=function(a){d.select(null,a.ctrlKey||a.metaKey||a.shiftKey)});aa(this,a,b,c)},importEvents:function(){if(!this.hasImportedEvents){var a=K(this.series.options.point,this.options).events,b;this.events=a;for(b in a)ha(this,b,a[b]);this.hasImportedEvents=!0}},setState:function(a){var b=this.plotX,c=this.plotY,d=this.series,e=d.options.states,f=M[d.type].marker&&d.options.marker,
 
g=f&&!f.enabled,h=f&&f.states[a],i=h&&h.enabled===!1,k=d.stateMarkerGraphic,j=d.chart,l=this.pointAttr,a=a||Ka;if(!(a===this.state||this.selected&&a!=="select"||e[a]&&e[a].enabled===!1||a&&(i||g&&!h.enabled))){if(this.graphic)e=f&&this.graphic.symbolName&&l[a].r,this.graphic.attr(K(l[a],e?{x:b-e,y:c-e,width:2*e,height:2*e}:{}));else{if(a){if(!k)e=f.radius,d.stateMarkerGraphic=k=j.renderer.symbol(d.symbol,-e,-e,2*e,2*e).attr(l[a]).add(d.group);k.translate(b,c)}if(k)k[a?"show":"hide"]()}this.state=
 
a}}};var $=function(){};$.prototype={isCartesian:!0,type:"line",pointClass:lb,sorted:!0,pointAttrToOptions:{stroke:"lineColor","stroke-width":"lineWidth",fill:"fillColor",r:"radius"},init:function(a,b){var c,d;d=a.series.length;this.chart=a;this.options=b=this.setOptions(b);this.bindAxes();L(this,{index:d,name:b.name||"Series "+(d+1),state:Ka,pointAttr:{},visible:b.visible!==!1,selected:b.selected===!0});if(Fa)b.animation=!1;d=b.events;for(c in d)ha(this,c,d[c]);if(d&&d.click||b.point&&b.point.events&&
 
b.point.events.click||b.allowPointSelect)a.runTrackerClick=!0;this.getColor();this.getSymbol();this.setData(b.data,!1)},bindAxes:function(){var a=this,b=a.options,c=a.chart,d;a.isCartesian&&o(["xAxis","yAxis"],function(e){o(c[e],function(c){d=c.options;if(b[e]===d.index||b[e]===X&&d.index===0)c.series.push(a),a[e]=c,c.isDirty=!0})})},autoIncrement:function(){var a=this.options,b=this.xIncrement,b=p(b,a.pointStart,0);this.pointInterval=p(this.pointInterval,a.pointInterval,1);this.xIncrement=b+this.pointInterval;
 
return b},getSegments:function(){var a=-1,b=[],c,d=this.points,e=d.length;if(e)if(this.options.connectNulls){for(c=e;c--;)d[c].y===null&&d.splice(c,1);d.length&&(b=[d])}else o(d,function(c,g){c.y===null?(g>a+1&&b.push(d.slice(a+1,g)),a=g):g===e-1&&b.push(d.slice(a+1,g+1))});this.segments=b},setOptions:function(a){var b=this.chart.options,c=b.plotOptions,d=a.data;a.data=null;c=K(c[this.type],c.series,a);c.data=a.data=d;this.tooltipOptions=K(b.tooltip,c.tooltip);return c},getColor:function(){var a=
 
this.chart.options.colors,b=this.chart.counters;this.color=this.options.color||a[b.color++]||"#0000ff";b.wrapColor(a.length)},getSymbol:function(){var a=this.options.marker,b=this.chart,c=b.options.symbols,b=b.counters;this.symbol=a.symbol||c[b.symbol++];if(/^url/.test(this.symbol))a.radius=0;b.wrapSymbol(c.length)},addPoint:function(a,b,c,d){var e=this.data,f=this.graph,g=this.area,h=this.chart,i=this.xData,k=this.yData,j=f&&f.shift||0,l=this.options.data;Kb(d,h);if(f&&c)f.shift=j+1;if(g){if(c)g.shift=
 
j+1;g.isArea=!0}b=p(b,!0);d={series:this};this.pointClass.prototype.applyOptions.apply(d,[a]);i.push(d.x);k.push(this.valueCount===4?[d.open,d.high,d.low,d.close]:d.y);l.push(a);c&&(e[0]?e[0].remove(!1):(e.shift(),i.shift(),k.shift(),l.shift()));this.getAttribs();this.isDirtyData=this.isDirty=!0;b&&h.redraw()},setData:function(a,b){var c=this.points,d=this.options,e=this.initialColor,f=this.chart,g=null;this.xIncrement=null;this.pointRange=this.xAxis&&this.xAxis.categories&&1||d.pointRange;if(s(e))f.counters.color=
 
e;var h=[],i=[],k=a?a.length:[],j=this.valueCount===4;if(k>(d.turboThreshold||1E3)){for(e=0;g===null&&e<k;)g=a[e],e++;if(Bb(g)){g=p(d.pointStart,0);d=p(d.pointInterval,1);for(e=0;e<k;e++)h[e]=g,i[e]=a[e],g+=d;this.xIncrement=g}else if(Fb(g))if(j)for(e=0;e<k;e++)d=a[e],h[e]=d[0],i[e]=d.slice(1,5);else for(e=0;e<k;e++)d=a[e],h[e]=d[0],i[e]=d[1]}else for(e=0;e<k;e++)d={series:this},this.pointClass.prototype.applyOptions.apply(d,[a[e]]),h[e]=d.x,i[e]=j?[d.open,d.high,d.low,d.close]:d.y;this.data=[];this.options.data=
 
a;this.xData=h;this.yData=i;for(e=c&&c.length||0;e--;)c[e]&&c[e].destroy&&c[e].destroy();this.isDirty=this.isDirtyData=f.isDirtyBox=!0;p(b,!0)&&f.redraw(!1)},remove:function(a,b){var c=this,d=c.chart,a=p(a,!0);if(!c.isRemoving)c.isRemoving=!0,aa(c,"remove",null,function(){c.destroy();d.isDirtyLegend=d.isDirtyBox=!0;a&&d.redraw(b)});c.isRemoving=!1},processData:function(a){var b=this.xData,c=this.yData,d=b.length,e=0,f=d,g,h,i=this.xAxis,k=this.options,j=k.cropThreshold,l=this.isCartesian;if(l&&!this.isDirty&&
 
!i.isDirty&&!this.yAxis.isDirty&&!a)return!1;if(l&&this.sorted&&(!j||d>j||this.forceCrop))if(a=i.getExtremes(),i=a.min,j=a.max,b[d-1]<i||b[0]>j)b=[],c=[];else if(b[0]<i||b[d-1]>j){for(a=0;a<d;a++)if(b[a]>=i){e=W(0,a-1);break}for(;a<d;a++)if(b[a]>j){f=a+1;break}b=b.slice(e,f);c=c.slice(e,f);g=!0}for(a=b.length-1;a>0;a--)if(d=b[a]-b[a-1],d>0&&(h===X||d<h))h=d;this.cropped=g;this.cropStart=e;this.processedXData=b;this.processedYData=c;if(k.pointRange===null)this.pointRange=h||1;this.closestPointRange=
 
h},generatePoints:function(){var a=this.options.data,b=this.data,c,d=this.processedXData,e=this.processedYData,f=this.pointClass,g=d.length,h=this.cropStart||0,i,k=this.hasGroupedData,j,l=[],n;if(!b&&!k)b=[],b.length=a.length,b=this.data=b;for(n=0;n<g;n++)i=h+n,k?l[n]=(new f).init(this,[d[n]].concat(Hb(e[n]))):(b[i]?j=b[i]:b[i]=j=(new f).init(this,a[i],d[n]),l[n]=j);if(b&&(g!==(c=b.length)||k))for(n=0;n<c;n++)n===h&&!k&&(n+=g),b[n]&&b[n].destroyElements();this.data=b;this.points=l},translate:function(){this.processedXData||
 
this.processData();this.generatePoints();for(var a=this.chart,b=this.options,c=b.stacking,d=this.xAxis,e=d.categories,f=this.yAxis,g=this.points,h=g.length,i=!!this.modifyValue,k,j=f.series,l=j.length;l--;)if(j[l].visible){l===this.index&&(k=!0);break}for(l=0;l<h;l++){var j=g[l],n=j.x,o=j.y,r=j.low,p=f.stacks[(o<b.threshold?"-":"")+this.stackKey];j.plotX=z(d.translate(n,0,0,0,1)*10)/10;if(c&&this.visible&&p&&p[n]){r=p[n];n=r.total;r.cum=r=r.cum-o;o=r+o;if(k)r=b.threshold;c==="percent"&&(r=n?r*100/
 
n:0,o=n?o*100/n:0);j.percentage=n?j.y*100/n:0;j.stackTotal=n;j.stackY=o}j.yBottom=s(r)?f.translate(r,0,1,0,1):null;i&&(o=this.modifyValue(o,j));j.plotY=typeof o==="number"?z(f.translate(o,0,1,0,1)*10)/10:X;j.clientX=a.inverted?a.plotHeight-j.plotX:j.plotX;j.category=e&&e[j.x]!==X?e[j.x]:j.x}this.getSegments()},setTooltipPoints:function(a){var b=this.chart,c=b.inverted,d=[],b=z((c?b.plotTop:b.plotLeft)+b.plotSizeX),e,f;e=this.xAxis;var g,h,i=[];if(this.options.enableMouseTracking!==!1){if(a)this.tooltipPoints=
 
null;o(this.segments||this.points,function(a){d=d.concat(a)});e&&e.reversed&&(d=d.reverse());a=d.length;for(h=0;h<a;h++){g=d[h];e=d[h-1]?d[h-1]._high+1:0;for(f=g._high=d[h+1]?Ta((g.plotX+(d[h+1]?d[h+1].plotX:b))/2):b;e<=f;)i[c?b-e++:e++]=g}this.tooltipPoints=i}},tooltipHeaderFormatter:function(a){var b=this.tooltipOptions,c=b.xDateFormat||"%A, %b %e, %Y",d=this.xAxis;return b.headerFormat.replace("{point.key}",d&&d.options.type==="datetime"?ac(c,a):a).replace("{series.name}",this.name).replace("{series.color}",
 
this.color)},onMouseOver:function(){var a=this.chart,b=a.hoverSeries;if(Ga||!a.mouseIsDown){if(b&&b!==this)b.onMouseOut();this.options.events.mouseOver&&aa(this,"mouseOver");this.setState(ta);a.hoverSeries=this}},onMouseOut:function(){var a=this.options,b=this.chart,c=b.tooltip,d=b.hoverPoint;if(d)d.onMouseOut();this&&a.events.mouseOut&&aa(this,"mouseOut");c&&!a.stickyTracking&&!c.shared&&c.hide();this.setState();b.hoverSeries=null},animate:function(a){var b=this.chart,c=this.clipRect,d=this.options.animation;
 
d&&!mb(d)&&(d={});if(a){if(!c.isAnimating)c.attr("width",0),c.isAnimating=!0}else c.animate({width:b.plotSizeX},d),this.animate=null},drawPoints:function(){var a,b=this.points,c=this.chart,d,e,f,g,h,i,k,j;if(this.options.marker.enabled)for(f=b.length;f--;)if(g=b[f],d=g.plotX,e=g.plotY,j=g.graphic,e!==X&&!isNaN(e))if(a=g.pointAttr[g.selected?"select":Ka],h=a.r,i=p(g.marker&&g.marker.symbol,this.symbol),k=i.indexOf("url")===0,j)j.animate(L({x:d-h,y:e-h},j.symbolName?{width:2*h,height:2*h}:{}));else if(h>
 
0||k)g.graphic=c.renderer.symbol(i,d-h,e-h,2*h,2*h).attr(a).add(this.group)},convertAttribs:function(a,b,c,d){var e=this.pointAttrToOptions,f,g,h={},a=a||{},b=b||{},c=c||{},d=d||{};for(f in e)g=e[f],h[f]=p(a[g],b[f],c[f],d[f]);return h},getAttribs:function(){var a=this,b=M[a.type].marker?a.options.marker:a.options,c=b.states,d=c[ta],e,f=a.color,g={stroke:f,fill:f},h=a.points,i=[],k,j=a.pointAttrToOptions,l;a.options.marker?(d.radius=d.radius||b.radius+2,d.lineWidth=d.lineWidth||b.lineWidth+1):d.color=
 
d.color||ma(d.color||f).brighten(d.brightness).get();i[Ka]=a.convertAttribs(b,g);o([ta,"select"],function(b){i[b]=a.convertAttribs(c[b],i[Ka])});a.pointAttr=i;for(f=h.length;f--;){g=h[f];if((b=g.options&&g.options.marker||g.options)&&b.enabled===!1)b.radius=0;e=!1;if(g.options)for(l in j)s(b[j[l]])&&(e=!0);if(e){k=[];c=b.states||{};e=c[ta]=c[ta]||{};if(!a.options.marker)e.color=ma(e.color||g.options.color).brighten(e.brightness||d.brightness).get();k[Ka]=a.convertAttribs(b,i[Ka]);k[ta]=a.convertAttribs(c[ta],
 
i[ta],k[Ka]);k.select=a.convertAttribs(c.select,i.select,k[Ka])}else k=i;g.pointAttr=k}},destroy:function(){var a=this,b=a.chart,c=a.clipRect,d=/AppleWebKit\/533/.test(kb),e,f,g=a.data||[],h,i,k;aa(a,"destroy");Qa(a);o(["xAxis","yAxis"],function(b){if(k=a[b])Gb(k.series,a),k.isDirty=!0});a.legendItem&&a.chart.legend.destroyItem(a);for(f=g.length;f--;)(h=g[f])&&h.destroy&&h.destroy();a.points=null;if(c&&c!==b.clipRect)a.clipRect=c.destroy();o(["area","graph","dataLabelsGroup","group","tracker"],function(b){a[b]&&
 
(e=d&&b==="group"?"hide":"destroy",a[b][e]())});if(b.hoverSeries===a)b.hoverSeries=null;Gb(b.series,a);for(i in a)delete a[i]},drawDataLabels:function(){var a=this,b=a.options,c=b.dataLabels;if(c.enabled||a._hasPointLabels){var d,e,f=a.points,g,h,i,k=a.dataLabelsGroup,j=a.chart,l=a.xAxis,l=l?l.left:j.plotLeft,n=a.yAxis,n=n?n.top:j.plotTop,t=j.renderer,r=j.inverted,Z=a.type,V=b.stacking,v=Z==="column"||Z==="bar",y=c.verticalAlign===null,q=c.y===null,T=t.fontMetrics(c.style.fontSize),A=T.h,x=T.b,w,
 
ia;v&&(T={top:x,middle:x-A/2,bottom:-A+x},V?(y&&(c=K(c,{verticalAlign:"middle"})),q&&(c=K(c,{y:T[c.verticalAlign]}))):y?c=K(c,{verticalAlign:"top"}):q&&(c=K(c,{y:T[c.verticalAlign]})));k?k.translate(l,n):k=a.dataLabelsGroup=t.g("data-labels").attr({visibility:a.visible?eb:ab,zIndex:6}).translate(l,n).add();h=c;o(f,function(f){w=f.dataLabel;c=h;(g=f.options)&&g.dataLabels&&(c=K(c,g.dataLabels));if(ia=c.enabled){var l=f.barX&&f.barX+f.barW/2||p(f.plotX,-999),n=p(f.plotY,-999),o=c.y===null?f.y>=b.threshold?
 
-A+x:x:c.y;d=(r?j.plotWidth-n:l)+c.x;e=z((r?j.plotHeight-l:n)+o)}if(w&&a.isCartesian&&(!j.isInsidePlot(d,e)||!ia))f.dataLabel=w.destroy();else if(ia){l=c.align;i=c.formatter.call(f.getLabelConfig(),c);Z==="column"&&(d+={left:-1,right:1}[l]*f.barW/2||0);!V&&r&&f.y<0&&(l="right",d-=10);c.style.color=p(c.color,c.style.color,a.color,"black");if(w)w.attr({text:i}).animate({x:d,y:e});else if(s(i))w=f.dataLabel=t[c.rotation?"text":"label"](i,d,e,null,null,null,c.useHTML,!0).attr({align:l,fill:c.backgroundColor,
 
stroke:c.borderColor,"stroke-width":c.borderWidth,r:c.borderRadius,rotation:c.rotation,padding:c.padding,zIndex:1}).css(c.style).add(k).shadow(c.shadow);if(v&&b.stacking&&w)l=f.barX,n=f.barY,o=f.barW,f=f.barH,w.align(c,null,{x:r?j.plotWidth-n-f:l,y:r?j.plotHeight-l-o:n,width:r?f:o,height:r?o:f})}})}},drawGraph:function(){var a=this,b=a.options,c=a.graph,d=[],e,f=a.area,g=a.group,h=b.lineColor||a.color,i=b.lineWidth,k=b.dashStyle,j,l=a.chart.renderer,n=a.yAxis.getThreshold(b.threshold),t=/^area/.test(a.type),
 
r=[],s=[];o(a.segments,function(c){j=[];o(c,function(d,e){a.getPointSpline?j.push.apply(j,a.getPointSpline(c,d,e)):(j.push(e?fa:wa),e&&b.step&&j.push(d.plotX,c[e-1].plotY),j.push(d.plotX,d.plotY))});c.length>1?d=d.concat(j):r.push(c[0]);if(t){var e=[],f,g=j.length;for(f=0;f<g;f++)e.push(j[f]);g===3&&e.push(fa,j[1],j[2]);if(b.stacking&&a.type!=="areaspline")for(f=c.length-1;f>=0;f--)f<c.length-1&&b.step&&e.push(c[f+1].plotX,c[f].yBottom),e.push(c[f].plotX,c[f].yBottom);else e.push(fa,c[c.length-1].plotX,
 
n,fa,c[0].plotX,n);s=s.concat(e)}});a.graphPath=d;a.singlePoints=r;if(t)e=p(b.fillColor,ma(a.color).setOpacity(b.fillOpacity||0.75).get()),f?f.animate({d:s}):a.area=a.chart.renderer.path(s).attr({fill:e}).add(g);if(c)Ob(c),c.animate({d:d});else if(i){c={stroke:h,"stroke-width":i};if(k)c.dashstyle=k;a.graph=l.path(d).attr(c).add(g).shadow(b.shadow)}},invertGroups:function(){function a(){var a={width:b.yAxis.len,height:b.xAxis.len};c.attr(a).invert();d&&d.attr(a).invert()}var b=this,c=b.group,d=b.trackerGroup,
 
e=b.chart;ha(e,"resize",a);ha(b,"destroy",function(){Qa(e,"resize",a)});a();b.invertGroups=a},render:function(){var a=this,b=a.chart,c,d=a.options,e=d.clip!==!1,f=d.animation,g=f&&a.animate,f=g?f&&f.duration||500:0,h=a.clipRect,i=b.renderer;if(!h&&(h=a.clipRect=!b.hasRendered&&b.clipRect?b.clipRect:i.clipRect(0,0,b.plotSizeX,b.plotSizeY+1),!b.clipRect))b.clipRect=h;if(!a.group)c=a.group=i.g("series"),c.attr({visibility:a.visible?eb:ab,zIndex:d.zIndex}).translate(a.xAxis.left,a.yAxis.top).add(b.seriesGroup);
 
a.drawDataLabels();g&&a.animate(!0);a.getAttribs();a.drawGraph&&a.drawGraph();a.drawPoints();a.options.enableMouseTracking!==!1&&a.drawTracker();b.inverted&&a.invertGroups();e&&!a.hasRendered&&(c.clip(h),a.trackerGroup&&a.trackerGroup.clip(b.clipRect));g&&a.animate();setTimeout(function(){h.isAnimating=!1;if((c=a.group)&&h!==b.clipRect&&h.renderer){if(e)c.clip(a.clipRect=b.clipRect);h.destroy()}},f);a.isDirty=a.isDirtyData=!1;a.hasRendered=!0},redraw:function(){var a=this.chart,b=this.isDirtyData,
 
c=this.group;c&&(a.inverted&&c.attr({width:a.plotWidth,height:a.plotHeight}),c.animate({translateX:this.xAxis.left,translateY:this.yAxis.top}));this.translate();this.setTooltipPoints(!0);this.render();b&&aa(this,"updatedData")},setState:function(a){var b=this.options,c=this.graph,d=b.states,b=b.lineWidth,a=a||Ka;if(this.state!==a)this.state=a,d[a]&&d[a].enabled===!1||(a&&(b=d[a].lineWidth||b+1),c&&!c.dashstyle&&c.attr({"stroke-width":b},a?0:500))},setVisible:function(a,b){var c=this.chart,d=this.legendItem,
 
e=this.group,f=this.tracker,g=this.dataLabelsGroup,h,i=this.points,k=c.options.chart.ignoreHiddenSeries;h=this.visible;h=(this.visible=a=a===X?!h:a)?"show":"hide";if(e)e[h]();if(f)f[h]();else if(i)for(e=i.length;e--;)if(f=i[e],f.tracker)f.tracker[h]();if(g)g[h]();d&&c.legend.colorizeItem(this,a);this.isDirty=!0;this.options.stacking&&o(c.series,function(a){if(a.options.stacking&&a.visible)a.isDirty=!0});if(k)c.isDirtyBox=!0;b!==!1&&c.redraw();aa(this,h)},show:function(){this.setVisible(!0)},hide:function(){this.setVisible(!1)},
 
select:function(a){this.selected=a=a===X?!this.selected:a;if(this.checkbox)this.checkbox.checked=a;aa(this,a?"select":"unselect")},drawTrackerGroup:function(){var a=this.trackerGroup,b=this.chart;if(this.isCartesian){if(!a)this.trackerGroup=a=b.renderer.g().attr({zIndex:this.options.zIndex||1}).add(b.trackerGroup);a.translate(this.xAxis.left,this.yAxis.top)}return a},drawTracker:function(){var a=this,b=a.options,c=[].concat(a.graphPath),d=c.length,e=a.chart,f=e.renderer,g=e.options.tooltip.snap,h=
 
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=Slides=
 
=Slides=

Revision as of 10:38, 27 April 2012

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Results

Mpi mandelbrot.png

Mandelbrot Set drawn in 1,2 seconds, using a Master-Worker MPI pattern with 16 worker nodes and 1 master node (which collected calculated results from different parts of the image and output them to an X Window). Total image dimension 800 x 800 pixels.

Cuda mandelbrot.png

Mandelbort Set drawn in 0,12 seconds, using a single NVidia CUDA capable graphics card (GeForce GTX 460) running 32 blocks and 128 threads in each block.

Slides

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Evaluering