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Get a random number focused on center

java
random-number-generation
gaussian-distribution
performance-optimization
Anton ShumikhinbyAnton Shumikhin·Feb 8, 2025
TLDR

For center-focused random numbers, adopt the midpoint approach: average two Math.random() calls to skew results towards your range's center. Here's an elegantly written function:

function centeredRandom(min, max) { // Well, if the universe works with math, so can our code return min + (Math.random() + Math.random()) / 2 * (max - min); }

The centeredRandom function will spawn numbers closer to (min+max)/2 compared to a standard Math.random().

Optimizing distribution with multi-roll approach

To carve out a more robust Gaussian distribution, take an average of multiple Math.random() calls. This emulates a bell curve and increases the frequency of central values. However, the efficiency and performance considerations take a front-seat in applications where performance is critical.

Exploring advanced mapping functions

You may consider utilizing a mapping function like a quantile function to reverse the cumulative distribution function (CDF). This results in a nuanced skewing towards targeted ranges such as the 40-60 area whilst preserving a degree of flexibility outside these bounds.

Using Mathematical Foundations for Custom Distributions

You can harness well-established mathematical principles (like the normal distribution fundamentals) to devise algorithms that give birth to your desired skewed distribution. This is a surefire way to ensure the accuracy of your random numbers' distribution.

Starting With a Uniform Randomness Source

Every great skewed distribution starts with a uniform source of random numbers like our trusty old Math.random() function, piping out numbers like a stretched-out string of evenly spaced pearls.

Visualisation as a Learning Catalyst

Need to visualize the distribution characteristics? A histogram does just that. It's like having thermal vision in a game of hide and seek, letting you see where your "hideout" ranges are getting hit frequently, blessing you with the powers to understand where your skewness should shift towards.