timing-object
Version:
An implementation of the timing object specification.
20 lines • 844 B
JavaScript
export const calculateRealSolutions = (position, velocity, acceleration, x) => {
// The position is constant.
if (acceleration === 0 && velocity === 0) {
if (position !== x) {
return [];
}
return [0];
}
// The velocity is constant and not equal to zero.
if (acceleration === 0) {
return [(x - position) / velocity];
}
// The velocity is accelerated.
// This equals p/2 of the pq-formula.
const firstSummand = velocity / acceleration;
// This equals sqrt((p/2 ** 2) - q) of the pq-formula.
const secondSummand = Math.sqrt(firstSummand ** 2 - (2 / acceleration) * (position - x));
return [secondSummand - firstSummand, -(secondSummand + firstSummand)].filter((solution) => !isNaN(solution)).sort();
};
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