tabulation_1dim_naive.md

layout	permalink	title	speed
page	/tabulation_1dim_naive/	Naive tabulation for 1-dim nonterminals	100

{% include tabulation_libs.html %}

The solution for subword $i..j$ is stored at $M[i,j]$ where $M$ is a two-dimensional matrix. This results in a triangular matrix and wastes nearly half the allocated space. Compare this with the corresponding space-efficient strategy.

{% include tabulation_speed_slider.html %}

{% include tabulation_length_slider.html %}

<script> Tabulation.prototype.solve = function(x1,x2,c) { this.addCubeDelayed(x1,x2,0,c); } Tabulation.prototype.fill = function() { var len = this.len; this.addBoundingBox(len+1,len+1,1); this.addText("i", len/2+1/2, -2, 0); this.addText(0, 0, -2, 0); this.addText(len, len, -2, 0); this.addText("j", -1.5, len/2, 0); this.addText(0, -1.7, 0, 0); this.addText(len, -1.7, len, 0); var c = 0; for (var l=0; l<=len; l++) { for (var x1=0; x1<=len-l; x1++) { var x2 = x1 + l; this.solve(x1,x2,c); c++; } } setTimeout(function(){console.log("subproblems: " + c)}, 100); } $(function() { var tab = new Tabulation($(".post-content")[0], $( "#slider" ).slider("value")); tab.speed = {{page.speed}}; tab.fill(); window.tab = tab; }); </script>