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| isp:hsl-_rgb [2021/07/24 11:42] – [HSL->RGB] Igor Yefmov | isp:hsl-_rgb [2022/04/04 23:32] (current) – external edit 127.0.0.1 |
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| ^ # ^ name ^ math excerpt from Wikipedia ^ bits ^ range ^ C-like code ^ factor((multiply by that much to get the "real" value)) ^ | ^ # ^ name ^ math excerpt from Wikipedia ^ bits ^ range ^ C-like code ^ factor((multiply by that much to get the "real" value)) ^ |
| | 1 | \[h\] | \[hue(pixel)\] | ''14''\\ signed | \[-8192..+8191\] mapped into \(-180^\circ..+180^\circ\) | <code>h = pixel.hue();</code> | \[\frac{45}{2^{11}}\] | | | 1 | \[H\] | \[hue(pixel)\] | ''14''\\ signed | \[-8192..+8191\] mapped into \(-180^\circ..+180^\circ\) | <code>H = pixel.hue();</code> | \[\frac{180}{2^{13}}\] | |
| | 2 | \[s\] | \[sat(pixel)\] | ''8'' | \[0..255\] | <code>s = pixel.sat();</code> | \[1\] | | | 2 | \[S\] | \[sat(pixel)\] | ''9'' | \[0..511\] | <code>S = pixel.sat();</code> | \[^1/_2\] | |
| | 3 | \[l\] | \[luma(pixel)\] | ''9'' | \[0..511\] mapped into \(0..255\) | <code>l = pixel.luma();</code> | \[^1/_2\] | | | 3 | \[L\] | \[luma(pixel)\] | ''12'' | \[0..4095\] mapped into \(0..255\) | <code>L = pixel.luma();</code> | \[\frac{1}{2^4}\] | |
| | 4 | \[H\] | \[(H+360^\circ) \bmod 360^\circ\] | ''12'' | \[0..4096\] mapped into \(0^\circ..+360^\circ\) | <code>h1 = (h >> 2); | | 4 | \[h\] | \[(H+360^\circ) \bmod 360^\circ\] | ''14'' | \[0..16383\] mapped into \(0^\circ..+360^\circ\) | <code>h = (H > 0 ? H : H + 16383);</code> | \[\frac{360}{2^{14}}\] | |
| H = (h1 > 0 ? h1 : h1 + 4096);</code> ((optimized from<code>H = ((h > 0 ? h : h + 16384) >> 2);</code>)) | \[\frac{45}{2^{9}}\] | | | 5 | \[L^\prime\] | \[1-|2L-1|\] | ''12'' | | <code>L_prime = 2^12 - abs(2 * L - 2^12);</code> | \[\frac{1}{2^{12}}\] | |
| | | \(S\)((not needed for calculations)) | \[\frac{S}{255}\] | | \[0..1\] | | | | | 6 | \[C\] | \[L^\prime \times S\] | ''21'' | | <code>C = L_prime * s;</code> | \[\frac{1}{2^{21}}\] | |
| | | \(L\)((not needed for calculations)) | \[\frac{S}{511}\] | | \[0..1\] | | | | | 7 | \[H^\prime\] | \[\frac{H}{60^\circ}\] | ''23'' | \[0..2^23-1\] mapped into \(0..6\) | <code>Hp = H * 273;</code> | \[\frac{180}{2^{27}}\] | |
| | 5 | \[L^\prime\] | \[1-|2L-1|\] | ''9'' | \[0..510\] | <code>L_prime = 2^9 - abs(2 * L - 2^9);</code> | \[\frac{1}{2^9}\] | | | 8 | \[H^\prime_2\] | \[H^\prime \bmod 2\] | ''21'' | | <code>Hp2 = Hp - (91 * 2^14) * (Hp * 90) >> 27)</code>((optimized from <code>Hp2 = Hp % (2^14 * 273 / 3);</code>)) | \[\frac{180}{2^{27}}\] | |
| | 6 | \[C\] | \[L^\prime \times S\] | ''9'' | \[0..510\] | <code>C = ((L_prime * s) >> 8);</code> | \[\frac{1}{2^9}\] | | | 9 | \[H^\prime_{2-1}\] | \[H^\prime \bmod 2 - 1\] | ''21''\\ signed | | <code>Hp2m1 = Hp2 - 2^13 * 91;</code> | \[\frac{180}{2^{27}}\] | |
| | 7 | \[H^\prime\] | \[\frac{H}{60^\circ}\] | ''12'' | \[0..4095\] mapped into \(0..6\) | <code>Hp = ((H * 273) >> 9);</code> | \[\frac{45}{2^{14}}\] | | | 11 | \[H^\prime_{final}\] | \[1-|H^\prime \bmod 2 - 1|\] | ''21'' | | <code>Hpf = 91 * 2^13 - abs(Hp2m1);</code> | \[\frac{180}{2^{27}}\] | |
| | 8 | \[H^\prime_2\] | \[H^\prime \bmod 2\] | ''10'' | \[0..727\] | <code>Hp2 = Hp - (91 * 2^3) * ((Hp * 90) >> 16)</code>((optimized from <code>Hp2 = Hp % (2^3 * 273 / 3);</code>)) | \[\frac{45}{2^{14}}\] | | | 12 | \[X\] | \[C \times H^\prime_{final}\] | ''21'' | | <code>X = ((C * Hpf * 180) >> 27);</code> | \[\frac{1}{2^21}\] | |
| | 9 | \[H^\prime_{2-1}\] | \[H^\prime \bmod 2 - 1\] | ''10''\\ signed | \[-364..+363\] | <code>Hp2m1 = Hp2 - 2^2 * 91;</code> | \[\frac{45}{2^{14}}\] | | | 13 | \[(R_1,G_1,B_1)\] | multi-branch | ''21'' | | <code>if(Hp < 745472*1){ |
| | 11 | \[H^\prime_{final}\] | \[1-|H^\prime \bmod 2 - 1|\] | ''9'' | \[0..364\] mapped into \(0..1\) | <code>Hpf = 91 * 2^2 - abs(Hp2m1);</code> | \[\frac{45}{2^{14}}\] | | |
| | 12 | \[X\] | \[C \times H^\prime_{final}\] | ''9'' | \[0..510\] | <code>X = ((C * Hpf * 180) >> 16);</code> | \[\frac{1}{2^9}\] | | |
| | 13 | \[(R_1,G_1,B_1)\] | multi-branch | ''9'' | \[0..510\] | <code>if(Hp < 364*1){ | |
| /*(C,X,0)*/ | /*(C,X,0)*/ |
| }else if(Hp < 364*2){ | }else if(Hp < 745472*2){ |
| /*(X,C,0)*/ | /*(X,C,0)*/ |
| }//...</code> | \[\] | | }//...</code> | \[\] | |
| | 14 | \[m\] | \[L - C/2\] | ''9'' | \[0..510\] | <code>m = l - C / 2;</code> | \[\frac{1}{2^9}\] | | | 14 | \[m\] | \[L - C/2\] | ''12'' | | <code>m = L - (C / 2^9) / 2;</code> | \[\frac{1}{2^{12}}\] | |
| | 15 | \[(R,G,B)\] | \[(R_1+m,G_1+m,B_1+m)\] | ''8'' | \[0..255\] | <code>R=R1+m; G=G1+m; B=B1+m;</code> | \[1\] | | | 15 | \[(R,G,B)\] | \[(R_1+m,G_1+m,B_1+m)\] | ''10'' | \[0..1023\] | <code>R=(R1/2^9+m)/2^2; G=(G1/2^9+m)/2^2; B=(B1/2^9+m)/2^2;</code> | \[1\] | |
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