It's just adjusting the range with the same ratio.
For example, there is a range of numbers.
60, 61, 62, 63, 64, 65
Stretching is to extent other range, such as 0~255.
So, if we stitching 60~65 to 0~255, numbers will be like that.
60 -> 0
61 -> 51
62 -> 102
63 -> 153
64 -> 204
65 -> 255
so, in case of histogram, origin histogram will be stretched like that

image source : https://stackoverflow.com/questions/41118808/difference-between-contrast-stretching-and-histogram-equalization
then, let's look at code and result with real image.
origin input image
histogram
stretched image
histogram of stretched image
source code
<gist start>
<gist end>
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