saxi/dist/server/vec.js

Drive the AxiDraw pen plotter

/**
 * Square of length of the vector
 */
export function vlen2(a) {
    return a.x * a.x + a.y * a.y;
}
/**
 * Length of the vector
 */
export function vlen(a) {
    return Math.sqrt(vlen2(a));
}
/**
 * Vector operation a - b
 */
export function vsub(a, b) {
    return { x: a.x - b.x, y: a.y - b.y };
}
/**
 * Scalar vector multiplication s * a
 */
export function vmul(a, s) {
    return { x: a.x * s, y: a.y * s };
}
/**
 * Get a normalized vector - length 1
 */
export function vnorm(a) {
    return vmul(a, 1 / vlen(a));
}
/**
 * Vector operation a + b
 */
export function vadd(a, b) {
    return { x: a.x + b.x, y: a.y + b.y };
}
/**
 * Vector dot-product a . b
 */
export function vdot(a, b) {
    return a.x * b.x + a.y * b.y;
}
/**
 * Rotate vector "v" an angle "a" around a center point "c".
 */
export function vrot(v, c, a) {
    if (a === 0)
        return v;
    const radians = (Math.PI / 180) * a;
    const cos = Math.cos(radians);
    const sin = Math.sin(radians);
    const nx = cos * (v.x - c.x) - sin * (v.y - c.y) + c.x;
    const ny = cos * (v.y - c.y) + sin * (v.x - c.x) + c.y;
    return { x: nx, y: ny };
}
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