avocado-old/packages/math/vector/index.js

export {VectorMixin as Mixin} from './mixin';

export const SQRT_2_2 = Math.sqrt(2) / 2;

export const EIGHTH_PI = Math.PI * 0.125;
export const QUARTER_PI = EIGHTH_PI * 2;
export const HALF_PI = QUARTER_PI * 2;
export const TWO_PI = Math.PI * 2;

// export function {VectorMixin as Mixin} from './mixin'

// Scale a vector. This multiplies *x* and *y* by **k**.
//
//     avocado> Vector.scale [.5, 1.5], 2
//     [1, 3]
export function scale(v, k) {
  return [v[0] * k, v[1] * k];
}

// Add two vectors.
//
//     avocado> Vector.add [1, 2], [1, 1]
//     [2, 3]
export function add(l, r) {
  return [l[0] + r[0], l[1] + r[1]];
}

// Subtract two vectors.
//
//     avocado> Vector.sub [9, 5], [5, 2]
//     [4, 3]
export function sub(l, r) {
  return [l[0] - r[0], l[1] - r[1]];
}

// Multiply two vectors.
//
//     avocado> Vector.mul [3, 5], [5, 5]
//     [15, 25]
export function mul(l, r) {
  return [l[0] * r[0], l[1] * r[1]];
}

// Divide two vectors.
//
//     avocado> Vector.div [15, 5], [5, 5]
//     [3, 1]
export function div(l, r) {
  return [l[0] / r[0], l[1] / r[1]];
}

// Modulo divide two vectors.
//
//     avocado> Vector.mod [13, 6], [5, 5]
//     [3, 1]
export function mod(l, r) {
  return [l[0] % r[0], l[1] % r[1]];
}

// Get the magnitude between two point vectors.
//
//     avocado> Vector.magnitude [0, 0], [1, 1]
//     1.4142135623730951
export function magnitude(l, r) {
  return Math.sqrt(dot(sub(l, r)));
}

// Get the minimum values from two vectors.
//
//     avocado> Vector.min [-10, 10], [0, 0]
//     [-10, 0]
export function min(l, r) {
  return [Math.min(l[0], r[0]), Math.min(l[1], r[1])];
}

// Get the maximum values from two vectors.
//
//     avocado> Vector.max [-10, 10], [0, 0]
//     [0, 10]
export function max(l, r) {
  return [Math.max(l[0], r[0]), Math.max(l[1], r[1])];
}

// Clamp a vector's axes using a min vector and a max vector.
//
//     avocado> Vector.clamp [-10, 10], [0, 0], [5, 5]
//     [0, 5]
export function clamp(v, min_, max_) {
  return min(max_, max(min_, v));
}

// Returns a deep copy of the vector.
//
//     avocado> vector = [0, 0]
//     avocado> otherVectory Vector.copy vector
//     avocado> vector is otherVector
//     false
export function copy(v) {
  return [v[0], v[1]];
}

// Check whether a vector equals another vector.
//
//     avocado> Vector.equals [4, 4], [5, 4]
//     false
//
//     avocado> Vector.equals [4, 4], [4, 4]
//     true
export function equals(l, r) {
  return l[0] === r[0] && l[1] === r[1];
}

export function equalsClose(l, r, epsilon = 0.000001) {
  return (
    (Math.abs(l[0] - r[0]) < epsilon)
    && (Math.abs(l[1] - r[1]) < epsilon)
  );
}

// Checks whether a vector is [0, 0].
//
//     avocado> Vector.zero [0, 0]
//     true
//
//     avocado> Vector.zero [0, 1]
//     false
export function isZero(v) {
  return v[0] === 0 && v[1] === 0;
}

// Round both axes of a vector.
//
//     avocado> Vector.round [3.14, 4.70]
//     [3, 5]
export function round(v) {
  return [Math.round(v[0]), Math.round(v[1])];
}

// Get the dot product of two vectors. If only one gievn, dupe it.
//
//     avocado> Vector.dot [2, 3], [4, 5]
//     23
export function dot(l, r) {
  if (!r) {
    r = l;
  }
  return l[0] * r[0] + l[1] * r[1];
}

// Get a unit vector.
//
//     avocado> Vector.normalize [.5, .7]
//     [0.5812381937190965, 0.813733471206735]
export function normalize(v) {
  const dp = dot(v);
  if (0 === dp) {
    return [0, 0];
  }
  const normalized = scale(v, 1 / Math.sqrt(dp));
  // Don't let NaN poison our equations.
  return [
    NaN === normalized[0] ? 0 : normalized[0],
    NaN === normalized[1] ? 0 : normalized[1],
  ];
}

// Get the absolute values of the axes of a vector.
//
//     avocado> Vector.abs [23, -5.20]
//     [23, 5.20]
export function abs(v) {
  return [Math.abs(v[0]), Math.abs(v[1])];
}

// Floor both axes of a vector.
//
//     avocado> Vector.floor [3.14, 4.70]
//     [3, 4]
export function floor(v) {
  return [Math.floor(v[0]), Math.floor(v[1])];
}

// Ceiling both axes of a vector.
//
//     avocado> Vector.floor [3.14, 4.70]
//     [3, 4]
export function ceil(v) {
  return [Math.ceil(v[0]), Math.ceil(v[1])];
}

// Get the area a vector.
//
//     avocado> Vector.area [3, 6]
//     18
export function area(v) {
  return v[0] * v[1];
}

// Checks whether a vector is null. A vector is null if either axis is 0.
// The algorithm prefers horizontal directions to vertical; if you move
// up-right or down-right you'll face right.
//
//     avocado> Vector.isNull [1, 0]
//     true
//
//     avocado> Vector.isNull [1, 1]
//     false
export function isNull(v) {
  if (!v) {
    return true;
  }
  if (2 !== v.length) {
    return true;
  }
  return 0 === v[0] || 0 === v[1];
}

export function overshot(position, normal, destination) {
  const overshot = [false, false];
  for (let i = 0; i < 2; ++i) {
    if (normal[i] < 0) {
      if (position[i] < destination[i]) {
        overshot[i] = true;
      }
    }
    else if (normal[i] > 0) {
      if (position[i] > destination[i]) {
        overshot[i] = true;
      }
    }
  }
  return overshot;
}

// Convert a vector to a 4-direction. A 4-direction is:
//
// * 0: Up
// * 1: Right
// * 2: Down
// * 3: Left
//
//     avocado> Vector.toDirection4 [0, 1]
//     2
//
//     avocado> Vector.toDirection4 [1, 0]
//     1
export function toDirection4(vector) {
  vector = normalize(vector);
  const x = Math.abs(vector[0]) - SQRT_2_2;
  if (x > 0 && x < SQRT_2_2) {
    return vector[0] > 0 ? 1 : 3;
  }
  else {
    return vector[1] > 0 ? 2 : 0;
  }
}

export function angle(v) {
  return Math.atan2(v[1], v[0]);
}

// Convert a vector to an 8-direction. An 8-direction is:
//
// * 0: Up
// * 1: Right
// * 2: Down
// * 3: Left
// * 4: Up-Right
// * 5: Down-Right
// * 6: Down-Left
// * 7: Up-Left
//
//     avocado> Vector.toDirection8 [1, 1]
//     5
//
//     avocado> Vector.toDirection8 [1, 0]
//     1
export function toDirection8(v) {
  v = normalize(v);
  // Orient radians.
  let rad = (TWO_PI + angle(v)) % TWO_PI;
  rad = (rad + HALF_PI) % TWO_PI;
  // Truncate.
  rad = Math.floor(rad * 100000) / 100000;
  const stepStart = TWO_PI - EIGHTH_PI;
  // Clockwise direction map.
  const directions = [0, 4, 1, 5, 2, 6, 3, 7];
  for (const direction of directions) {
    let stepEnd = (stepStart + QUARTER_PI) % TWO_PI
    stepEnd = Math.floor(stepEnd * 100000) / 100000;
    if (rad >= stepStart && rad < stepEnd) {
      return direction;
    }
    stepStart = stepEnd;
  }
  return 0;
}

// Convert a vector to a *directionCount*-direction.
//
//     avocado> Vector.toDirection [0, 1], 4
//     2
export function toDirection(vector, directionCount) {
  switch (directionCount) {
    case 1: return 0;
    case 4: return toDirection4(vector);
    case 8: return toDirection8(vector);
    default:
      throw new Error `Unsupported conversion of vector to ${
        directionCount
      }-direction.`;
  }
}

export function fromDirection(direction) {
  switch (direction) {
    case 0: return [0, -1];
    case 1: return [1, 0];
    case 2: return [0, 1];
    case 3: return [-1, 0];
    case 4: return normalize([1, -1]);
    case 5: return normalize([1, 1]);
    case 6: return normalize([-1, 1]);
    case 7: return normalize([-1, -1]);
  }
}

export function directionalProjection(direction, vector) {
  switch (direction) {
    case 0:
      return [vector[0], -vector[1]];
    case 1:
      return [vector[1], vector[0]];
    case 2:
      return [vector[0], vector[1]];
    case 3:
      return [-vector[1], vector[0]];
  }
}

export function interpolate(ultimate, actual, easing = 0) {
  if (0 === easing) {
    return ultimate;
  }
  const magnitude_ = magnitude(ultimate, actual);
  if (0 === magnitude_) {
    return ultimate;
  }
  return add(
    actual,
    scale(
      normalize(sub(ultimate, actual)),
      magnitude_ / easing
    )
  );
}

export function fromObject(object) {
  return [object.x, object.y];
}

// Convert a vector to an object.
//
//     avocado> Vector.toObject [3, 4]
//     {x: 3, y: 4}
export function toObject(v) {
  return {x: v[0], y: v[1]};
}