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2012-04-24T19:51:50.683
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After spending an hour or so, I learned a few things in the process ... Now the code : (works for any size) This is HSL but I gave you the url where you have other algos. <img src="https://i.stack.imgur.com/qCp3b.png" alt=""> <pre><code>using System; using System.Diagnostics; using System.Runtime.InteropServices; using System.Windows; using System.Windows.Media; using System.Windows.Media.Imaging; namespace ColorWheel { /// <summary> /// Interaction logic for MainWindow.xaml /// </summary> public partial class MainWindow : Window { public MainWindow() { InitializeComponent(); } private void BuildWheel() { var width = 1024; var height = width; var cx = width/2; var cy = height/2; var colors = new int[width*height]; var gray = Colors.Gray.ToBgr32(); for (int index = 0; index < colors.Length; index++) colors[index] = gray; var radius = cx; var radiusSquared = radius*radius; for (int i = 0; i < height; i++) { for (int j = 0; j < width; j++) { var x = j - cx; var y = i - cy; var distanceSquared = (double) x*x + y*y; if (distanceSquared <= radiusSquared) // In circle { var h = Math.Atan2(x, y).ToDegrees() + 180.0d; // Angle var s = 1.0d; var l = (1.0d - ((1.0d/radiusSquared)*distanceSquared)); // 1 - (distance normalized) var hsl = new HSL((float) h, (float) s, (float) l); var rgb = RGB.FromHsl(hsl.H, hsl.S, hsl.L); colors[i*width + j] = rgb.R << 16 | rgb.G << 8 | rgb.B; } } } var bitmap = new WriteableBitmap(width, height, 96, 96, PixelFormats.Bgr32, null); bitmap.WritePixels(new Int32Rect(0, 0, width, height), colors, width*4, 0); image.Source = bitmap; } private void Window_Loaded(object sender, RoutedEventArgs e) { BuildWheel(); } } public static class Helpers { public static double ToDegrees(this double radians) { return radians*57.2957795130823; // radians * (180.0d / Math.PI) } public static double ToRadians(this double degrees) { return degrees*0.0174532925199433; // degrees * (Math.PI / 180.0d) } } public static class ColorExtensions { public static Color FromBgr32(this Int32 color) { return Color.FromRgb((byte) ((color & 0xFF0000) >> 16), (byte) ((color & 0xFF00) >> 8), (byte) (color & 0xFF)); } public static int ToBgr32(this Color color) { return color.R << 16 | color.G << 8 | color.B; } } /// <summary> /// Represents a color in an HSL space. /// </summary> [StructLayout(LayoutKind.Sequential)] public struct HSL { [DebuggerBrowsable(DebuggerBrowsableState.Never)] private readonly double _h; [DebuggerBrowsable(DebuggerBrowsableState.Never)] private readonly double _s; [DebuggerBrowsable(DebuggerBrowsableState.Never)] private readonly double _l; /// <summary> /// Returns the fully qualified type name of this instance. /// </summary> /// <returns> A <see cref="T:System.String" /> containing a fully qualified type name. </returns> /// <filterpriority>2</filterpriority> public override string ToString() { return string.Format("H: {0}, S: {1}, L: {2}", _h, _s, _l); } /// <summary> /// Create a new instance of <see cref="HSL" /> . /// </summary> /// <param name="h"> Value of <see cref="H" /> component. </param> /// <param name="s"> Value of <see cref="S" /> component. </param> /// <param name="l"> Value of <see cref="L" /> component. </param> public HSL(double h, double s, double l) { _h = h; _s = s; _l = l; } /// <summary> /// Gets the value of the hue component. /// </summary> public double H { get { return _h; } } /// <summary> /// Gets the value of the saturation component. /// </summary> public double S { get { return _s; } } /// <summary> /// Gets the value of the lightness component. /// </summary> public double L { get { return _l; } } public override bool Equals(object obj) { if (ReferenceEquals(null, obj)) return false; if (obj.GetType() != typeof (HSL)) return false; return Equals((HSL) obj); } public bool Equals(HSL other) { return other._h.Equals(_h) && other._l.Equals(_l) && other._s.Equals(_s); } /// <summary> /// Create a new instance of <see cref="HSL" /> , from RGB values. /// </summary> /// <param name="red"> Value of the red component. </param> /// <param name="green"> Value of the green component. </param> /// <param name="blue"> Value of the blue component. </param> /// <returns> <see cref="HSL" /> instance created. </returns> public static HSL FromRGB(byte red, byte green, byte blue) { var r1 = red/255.0d; var g1 = green/255.0d; var b1 = blue/255.0d; var min = Math.Min(r1, Math.Min(g1, b1)); var max = Math.Max(r1, Math.Max(g1, b1)); var l = (max + min)/2.0d; var s = 0.0d; var h = 0.0d; if (min == max) { h = 0.0d; s = 0.0d; } else { if (l < 0.5d) { s = (max - min)/(max + min); } else if (l >= 0.5d) { s = (max - min)/(2.0d - max - min); } if (r1 == max) { h = (g1 - b1)/(max - min); } else if (g1 == max) { h = 2.0d + (b1 - r1)/(max - min); } else if (b1 == max) { h = 4.0d + (r1 - g1)/(max - min); } } h *= 60.0d; if (h < 0.0d) h += 360.0d; return new HSL(h, s, l); } /// <summary> /// Returns the hash code for this instance. /// </summary> /// <returns> A 32-bit signed integer that is the hash code for this instance. </returns> /// <filterpriority>2</filterpriority> public override int GetHashCode() { unchecked { var result = _h.GetHashCode(); result = (result*397) ^ _l.GetHashCode(); result = (result*397) ^ _s.GetHashCode(); return result; } } public static BitmapSource GetHslPalette(int width = 360, int height = 100) { // Creates an HSL palette image like in Photoshop, etc ... var pixels = new int[width*height]; const double saturation = 1.0d; for (var y = 0; y < height; y++) { for (var x = 0; x < width; x++) { var hue = (1.0d/width)*x*360.0d; var lightness = 1.0d - ((1.0f/height)*y); var rgb = RGB.FromHsl(hue, saturation, lightness); pixels[y*width + x] = 0xFF << 24 | rgb.R << 16 | rgb.G << 8 | rgb.B; } } return BitmapSource.Create(width, height, 96, 96, PixelFormats.Pbgra32, null, pixels, width*4); } public static bool operator ==(HSL left, HSL right) { return left.Equals(right); } public static bool operator !=(HSL left, HSL right) { return !left.Equals(right); } } /// <summary> /// Represents a color in an RGB space. /// </summary> [StructLayout(LayoutKind.Sequential)] public struct RGB { [DebuggerBrowsable(DebuggerBrowsableState.Never)] private readonly byte _r; [DebuggerBrowsable(DebuggerBrowsableState.Never)] private readonly byte _g; [DebuggerBrowsable(DebuggerBrowsableState.Never)] private readonly byte _b; /// <summary> /// Create a new instance of <see cref="RGB" /> . /// </summary> /// <param name="r"> Value of red component. </param> /// <param name="g"> Value of green component. </param> /// <param name="b"> Value of blue component. </param> public RGB(byte r, byte g, byte b) { _r = r; _g = g; _b = b; } /// <summary> /// Returns the fully qualified type name of this instance. /// </summary> /// <returns> A <see cref="T:System.String" /> containing a fully qualified type name. </returns> /// <filterpriority>2</filterpriority> public override string ToString() { return string.Format("R: {0}, G: {1}, B: {2}", _r, _g, _b); } /// <summary> /// Gets the value of the red component. /// </summary> public byte R { get { return _r; } } /// <summary> /// Gets the value of the green component. /// </summary> public byte G { get { return _g; } } /// <summary> /// Gets the value of the blue component. /// </summary> public byte B { get { return _b; } } public override bool Equals(object obj) { if (ReferenceEquals(null, obj)) return false; if (obj.GetType() != typeof (RGB)) return false; return Equals((RGB) obj); } public bool Equals(RGB other) { return other._b == _b && other._g == _g && other._r == _r; } /// <summary> /// Create a new instance of <see cref="RGB" /> , from HSL values. /// </summary> /// <param name="hue"> Hue, from 0.0 to 360.0. </param> /// <param name="saturation"> Saturation, from 0.0 to 1.0. </param> /// <param name="lightness"> Lightness, from 0.0 to 1.0. </param> /// <returns> <see cref="RGB" /> instance created. </returns> public static RGB FromHsl(double hue, double saturation, double lightness) { if (hue < 0.0d || hue > 360.0d) throw new ArgumentOutOfRangeException("hue"); if (saturation < 0.0d || saturation > 1.0d) throw new ArgumentOutOfRangeException("saturation"); if (lightness < 0.0d || lightness > 1.0d) throw new ArgumentOutOfRangeException("lightness"); if (saturation == 0.0d) { var b1 = (byte) (lightness*255); return new RGB(b1, b1, b1); } var t2 = 0.0d; if (lightness < 0.5d) t2 = lightness*(1.0d + saturation); else if (lightness >= 0.5d) t2 = lightness + saturation - lightness*saturation; var t1 = 2.0d*lightness - t2; var h = hue/360.0d; var tr = h + 1.0d/3.0d; var tg = h; var tb = h - 1.0d/3.0d; tr = tr < 0.0d ? tr + 1.0d : tr > 1.0d ? tr - 1.0d : tr; tg = tg < 0.0d ? tg + 1.0d : tg > 1.0d ? tg - 1.0d : tg; tb = tb < 0.0d ? tb + 1.0d : tb > 1.0d ? tb - 1.0d : tb; double r; if (6.0d*tr < 1.0d) r = t1 + (t2 - t1)*6.0d*tr; else if (2.0d*tr < 1.0d) r = t2; else if (3.0d*tr < 2.0d) r = t1 + (t2 - t1)*((2.0d/3.0d) - tr)*6.0d; else r = t1; double g; if (6.0d*tg < 1.0d) g = t1 + (t2 - t1)*6.0d*tg; else if (2.0d*tg < 1.0d) g = t2; else if (3.0d*tg < 2.0d) g = t1 + (t2 - t1)*((2.0d/3.0d) - tg)*6.0d; else g = t1; double b; if (6.0d*tb < 1.0d) b = t1 + (t2 - t1)*6.0d*tb; else if (2.0d*tb < 1.0d) b = t2; else if (3.0d*tb < 2.0d) b = t1 + (t2 - t1)*((2.0d/3.0d) - tb)*6.0d; else b = t1; return new RGB((byte) (r*255), (byte) (g*255), (byte) (b*255)); } /// <summary> /// Returns the hash code for this instance. /// </summary> /// <returns> A 32-bit signed integer that is the hash code for this instance. </returns> /// <filterpriority>2</filterpriority> public override int GetHashCode() { unchecked { var result = _b.GetHashCode(); result = (result*397) ^ _g.GetHashCode(); result = (result*397) ^ _r.GetHashCode(); return result; } } public static bool operator ==(RGB left, RGB right) { return left.Equals(right); } public static bool operator !=(RGB left, RGB right) { return !left.Equals(right); } } } </code></pre>
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