module Hsluv

# File lib/hsluv.rb, line 192
def degrees_to_radians (degrees)
  degrees * Math::PI / 180.0
end

# File lib/hsluv.rb, line 247
def distance_from_pole (point)
  Math.sqrt(point[0] ** 2 + point[1] ** 2)
end

# File lib/hsluv.rb, line 267
def dot_product (a, b)
  a.zip(b).map { |i, j| i * j }.inject(:+)
end

# File lib/hsluv.rb, line 251
def f (t)
  t > EPSILON ? 116 * ((t / REF_Y) ** (1.0 / 3.0)) - 16.0 : t / REF_Y * KAPPA
end

# File lib/hsluv.rb, line 255
def f_inv (t)
  t > 8 ? REF_Y * ((t + 16.0) / 116.0) ** 3.0 : REF_Y * t / KAPPA
end

# File lib/hsluv.rb, line 263
def from_linear (c)
  c <= 0.0031308 ? 12.92 * c : (1.055 * (c ** (1.0 / 2.4)) - 0.055)
end

# File lib/hsluv.rb, line 219
def get_bounds (l)
  sub1 = ((l + 16.0) ** 3.0) / 1560896.0
  sub2 = sub1 > EPSILON ? sub1 : l / KAPPA
  ret = []

  M.each do |m1, m2, m3|
    [0, 1].each do |t|
      top1 = (284517.0 * m1 - 94839.0 * m3) * sub2
      top2 = (838422.0 * m3 + 769860.0 * m2 + 731718.0 * m1) * l * sub2 - 769860.0 * t * l
      bottom = (632260.0 * m3 - 126452.0 * m2) * sub2 + 126452.0 * t
      ret << [top1 / bottom, top2 / bottom]
    end
  end

  ret
end

# File lib/hsluv.rb, line 38
def hex_to_hpluv (hex)
  rgb_to_hpluv(*hex_to_rgb(hex))
end

# File lib/hsluv.rb, line 34
def hex_to_hsluv (hex)
  rgb_to_hsluv(*hex_to_rgb(hex))
end

# File lib/hsluv.rb, line 70
def hex_to_rgb (hex)
  hex = hex.tr('#', '')
  [].tap { |arr| hex.split('').each_slice(2) { |block| arr << block.join.to_i(16) / 255.0 } }
end

# File lib/hsluv.rb, line 30
def hpluv_to_hex (h, s, l)
  rgb_to_hex(*hpluv_to_rgb(h, s, l))
end

# File lib/hsluv.rb, line 174
def hpluv_to_lch (arr)
  h, s, l = arr

  return [100, 0.0, h] if l > 99.9999999
  return [0.0, 0.0, h] if l < 0.00000001

  mx = max_safe_chroma_for(l)
  c = mx / 100.0 * s

  [l, c, h]
end

# File lib/hsluv.rb, line 50
def hpluv_to_rgb (h, s, l)
  lch_to_rgb(*hpluv_to_lch([h, s, l]))
end

# File lib/hsluv.rb, line 26
def hsluv_to_hex (h, s, l)
  rgb_to_hex(*hsluv_to_rgb(h, s, l))
end

# File lib/hsluv.rb, line 162
def hsluv_to_lch (arr)
  h, s, l = arr

  return [100, 0.0, h] if l > 99.9999999
  return [0.0, 0.0, h] if l < 0.00000001

  mx = max_chroma_for(l, h)
  c = mx / 100.0 * s

  [l, c, h]
end

# File lib/hsluv.rb, line 42
def hsluv_to_rgb (h, s, l)
  xyz_to_rgb(luv_to_xyz(lch_to_luv(hsluv_to_lch([h, s, l]))))
end

# File lib/hsluv.rb, line 243
def intersect_line_line (line1, line2)
  (line1[1] - line2[1]) / (line2[0] - line1[0])
end

# File lib/hsluv.rb, line 116
def lch_to_hpluv (arr)
  l, c, h = arr

  return [h, 0.0, 100.0] if l > 99.9999999
  return [h, 0.0, 0.0] if l < 0.00000001

  mx = max_safe_chroma_for(l)
  s = c / mx * 100.0

  [h, s, l]
end

# File lib/hsluv.rb, line 105
def lch_to_hsluv (arr)
  l, c, h = arr
  return [h, 0.0, 100.0] if l > 99.9999999
  return [h, 0.0, 0.0] if l < 0.00000001

  mx = max_chroma_for(l, h)
  s = c / mx * 100.0

  [h, s, l]
end

# File lib/hsluv.rb, line 152
def lch_to_luv (arr)
  l, c, h = arr

  hrad = degrees_to_radians(h)
  u = Math.cos(hrad) * c
  v = Math.sin(hrad) * c

  [l, u, v]
end

# File lib/hsluv.rb, line 58
def lch_to_rgb (l, c, h)
  xyz_to_rgb(luv_to_xyz(lch_to_luv([l, c, h])))
end

# File lib/hsluv.rb, line 236
def length_of_ray_until_intersect (theta, line)
  m1, b1 = line
  length = b1 / (Math.sin(theta) - m1 * Math.cos(theta))
  return nil if length < 0
  length
end

# File lib/hsluv.rb, line 96
def luv_to_lch (arr)
  l, u, v = arr
  c = ((u ** 2) + (v ** 2)) ** (1 / 2.0)
  hrad = Math.atan2(v, u)
  h = radians_to_degrees(hrad)
  h += 360.0 if h < 0.0
  [l, c, h]
end

# File lib/hsluv.rb, line 135
def luv_to_xyz (arr)
  l, u, v = arr

  return [0.0, 0.0, 0.0] if l == 0

  var_y = f_inv(l)
  var_u = u / (13.0 * l) + REF_U
  var_v = v / (13.0 * l) + REF_V


  y = var_y * REF_Y
  x = 0.0 - (9.0 * y * var_u) / ((var_u - 4.0) * var_v - var_u * var_v)
  z = (9.0 * y - (15.0 * var_v * y) - (var_v * x)) / (3.0 * var_v)

  [x, y, z]
end

# File lib/hsluv.rb, line 196
def max_chroma_for (l, h)
  hrad = h / 360.0 * Math::PI * 2.0
  lengths = []

  get_bounds(l).each do |line|
    l = length_of_ray_until_intersect(hrad, line)
    lengths << l if l
  end

  lengths.min
end

# File lib/hsluv.rb, line 208
def max_safe_chroma_for (l)
  lengths = []

  get_bounds(l).each do |m1, b1|
    x = intersect_line_line([m1, b1], [-1.0 / m1, 0.0])
    lengths << distance_from_pole([x, b1 + x * m1])
  end

  lengths.min
end

# File lib/hsluv.rb, line 188
def radians_to_degrees (rad)
  rad * 180.0 / Math::PI
end

# File lib/hsluv.rb, line 271
def rgb_prepare (arr)
  arr.map! { |ch| ch = ch.round(3); ch = [0, ch].max; ch = [1, ch].min; (ch * 255).round }
end

# File lib/hsluv.rb, line 66
def rgb_to_hex (r, g, b)
  '#%02x%02x%02x' % rgb_prepare([r, g, b])
end

# File lib/hsluv.rb, line 54
def rgb_to_hpluv (r, g, b)
  lch_to_hpluv(rgb_to_lch(r, g, b))
end

# File lib/hsluv.rb, line 46
def rgb_to_hsluv (r, g, b)
  lch_to_hsluv(rgb_to_lch(r, g, b))
end

# File lib/hsluv.rb, line 62
def rgb_to_lch (r, g, b)
  luv_to_lch(xyz_to_luv(rgb_to_xyz([r, g, b])))
end

# File lib/hsluv.rb, line 77
def rgb_to_xyz (arr)
  rgbl = arr.map { |val| to_linear(val) }
  M_INV.map { |i| dot_product(i, rgbl) }
end

# File lib/hsluv.rb, line 259
def to_linear (c)
  c > 0.04045 ? ((c + 0.055) / 1.055) ** 2.4 : c / 12.92
end

# File lib/hsluv.rb, line 82
def xyz_to_luv (arr)
  x, y, z = arr
  l = f(y)

  return [0.0, 0.0, 0.0] if [x, y, z, 0.0].uniq.length == 1 || l == 0.0

  var_u = (4.0 * x) / (x + (15.0 * y) + (3.0 * z))
  var_v = (9.0 * y) / (x + (15.0 * y) + (3.0 * z))
  u = 13.0 * l * (var_u - REF_U)
  v = 13.0 * l * (var_v - REF_V)

  [l, u, v]
end

# File lib/hsluv.rb, line 130
def xyz_to_rgb (arr)
  xyz = M.map { |i| dot_product(i, arr) }
  xyz.map { |i| from_linear(i) }
end