Creating a curved exponential data set with specific endpoints and a set number of data points

Question

Creating a curved exponential data set with specific endpoints and a set number of data points

Struggling to create a function that involves math skills, I could really use some assistance. The task is to design a function that takes data points x and generates an array of size x with exponentially increasing values from 0 to 100. It would be ideal if this function could also accommodate a lambda value to alter the curve.

function exponentialCurve(x, max=100, lambda=4) {
  // returns an array of size x where each entry represents a point on an exponential curve between 0 and max
}

This function will be used for implementing exponential decay in audio PCM data. Any guidance or help you can offer would be greatly appreciated. Thank you for your time.

javascript math audio pseudocode exponential

Answer 1

Answer №1

Does this code snippet meet your needs (assuming lambda is between 1 and 10)?

function generateExponentialData(x, max=100, lambda=4) {
    // Generates an array of size x representing points on an exponential curve from 0 to max
    const base = Math.log(x) / Math.log(lambda);
    const dataPoints = Array(x).fill(max);
    return dataPoints.map((point, n) => point / Math.pow(base, n));
}

Answer 2

Does this code snippet meet your needs (assuming lambda is between 1 and 10)?

function generateExponentialData(x, max=100, lambda=4) {
    // Generates an array of size x representing points on an exponential curve from 0 to max
    const base = Math.log(x) / Math.log(lambda);
    const dataPoints = Array(x).fill(max);
    return dataPoints.map((point, n) => point / Math.pow(base, n));
}

Creating a curved exponential data set with specific endpoints and a set number of data points

Answer №1

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