MATLAB: Coloring Rectangles to Specific Value’s Colormap

colormapelementfacecolorMATLABrectangle

Hello, all. I am currently trying to create a figure in which I am drawing multiple rectangles on a graph, and then trying to shade them to a certain colormap that is related to a tertiary value. I can't really figure out how to do this via examples online, and I would appreciate some assistance.
My question can be simplified: if I have a nx1 array between 0 and some arbitrary max, how would I determine the color of each element assuming I have the jet colormap set from 0 to the same arbitrary max?
Here is the rectangle code that I am working with:
 rectanglesWithValue = [1 1 30; 1 2 60; 1 3 20; 2 1 -1; 2 2 0; 2 3 80; 3 1 50; 3 2 40; 3 3 -1];
 xMin = 0;
 xMax = 3;
 yMin = 0;
 yMax = 3;
 numRectanglesInX = 3;
 numRectanglesInY = 3;
 rectWidth = (xMax - xMin)/numRectanglesInX;
 rectHeight = (yMax - yMin)/numRectanglesInY;
 figure;
 axis([xMin xMax yMin yMax])
 for i1 = 1:length(rectanglesWithValue(:,1))
         %%%IF THE THIRD VALUE OF THE RECTANGLE IS EQUAL TO -1, FILL IT IN BLACK
         if rectanglesWithValue(i1,3) == -1
             colouring = 'black';
         else
         %%%IF THE THIRD VALUE OF A RECTANGLE IS BETWEEN min AND max
         %%%OF (rectanglesWithValue(:,3)) SET IT TO THE COOL COLORMAP
             elementToLinkToColorMap = rectanglesWithValue(i1,3)
             %%%This is the code I can't determine             
             colouring = ??? link elementToLinkToColorMap to the cool color map
             %%%This is the code I can't determine
         end
         rectangle('Position',[rectanglesWithValue(i1,1)-rectWidth/2 rectanglesWithValue(i1,2)-rectHeight/2 rectWidth rectHeight],'FaceColor',colouring);
 end
Thanks!

Best Answer

After starting to create R-G-B equations in order to solve my problem, and getting frustrated, I managed to find a function that somebody had produced on stack exchange which solved this issue. Here is the link:
iELVis on FIle Exchange
The function is called 'vals2Colormap', and it is part of this package.
Here is my specific usage:
 colourMin = min(rectanglesWithValue(:,3));
 colourMax = max(rectanglesWithValue(:,3));
 [colouring, ~, ~] = vals2Colormap(elementToLinkToColorMap,[colourMin colourMax],'cool', [colourMin colourMax]);
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