| layout | permalink | title | speed |
|---|---|---|---|
page |
/tabulation_2dim_naive_3d/ |
Naive tabulation for 2-dim nonterminals (alternative visualization) |
20 |
{% include tabulation_libs.html %}
The solution for the subword pair
The visualization fixes the first index of the first subword and then displays the three-dimensional matrix for it. See also an alternative visualization.
Hint: Rotate and zoom with your left mouse button and scroll wheel!
{% include tabulation_speed_slider.html %}
{% include tabulation_length_slider.html %}
First index:
<script>
$( "#slider" ).on( "slide", function( event, ui ) {
if ($( "#slider-index" ).slider( "value" ) > ui.value) {
$( "#slider-index" ).slider( "value", ui.value);
}
$( "#slider-index" ).slider( "option", {
max: ui.value
} );
} );
$(function() {
$( "#slider-index" ).slider({
value:2,
min: 0,
max: 4,
slide: function( event, ui ) {
$( "#index" ).text( ui.value );
window.tab.freshScene();
window.tab.fill(ui.value);
},
// for programmatic slider changes
change: function( event, ui ) {
$( "#index" ).text( ui.value );
}
});
$( "#index" ).text( $( "#slider-index" ).slider( "value" ) );
});
</script>
<script>
Tabulation.prototype.solve = function(x1,x2,x3,c) {
this.addCubeDelayed(x1,x2,x3,c);
}
Tabulation.prototype.fill = function(y1) {
if (typeof y1 === 'undefined') {
y1 = $( "#slider-index" ).slider( "value" );
}
var len = this.len;
this.addBoundingBox(len+1,len+1,len+1);
this.addText("j", len/2+1/2, -2, 0);
this.addText(0, 0, -2, 0);
this.addText(len, len, -2, 0);
this.addText("k", -1.5, len/2, 0);
this.addText(0, -1.7, 0, 0);
this.addText(len, -1.7, len, 0);
this.addText("l", -1.5, -2, len/2);
this.addText(0, -1.7, -2, 0);
this.addText(len, -1.7, -2, len);
var c = 0;
for (var l=0; l<=len; l++) {
for (var x1=0; x1<=len-l; x1++) {
var x2 = x1 + l;
for (var l2=0; l2<=l; l2++) {
for (var x3=0; x3 <= (l==l2 ? x1 : len-l2); x3++) {
var x4 = x3 + l2;
if (x3 >= x2 || x4 <= x1) {
if (y1 == x1) {
this.solve(x2, x3, x4,c);
c++;
}
if (x3 == y1) {
if (!(x1 == x3 && x2 == x4)) {
this.solve(x4, 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>