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authorH. Peter Anvin <hpa@zytor.com>2017-09-12 18:09:32 (GMT)
committerH. Peter Anvin <hpa@zytor.com>2017-09-12 18:09:32 (GMT)
commitb92ea995371cec99e0366f6a341ca1e35e1f7211 (patch)
treef08e567905df6042e137faeb22f41ae3185eaa6b
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Initial snapshot under version control
-rw-r--r--.gitignore9
-rw-r--r--Makefile24
-rw-r--r--README63
-rw-r--r--color.c238
-rw-r--r--color.h62
-rw-r--r--lin2012xyz10e_fine_7sf.c26
-rw-r--r--lin2012xyz10e_fine_7sf.tab4401
-rw-r--r--mktables.c230
-rw-r--r--rgbxyz.c60
-rw-r--r--rgbxyz.mat20
-rw-r--r--spectral.csv1566
-rw-r--r--srgb.mat18
-rw-r--r--thermal.csv15661
13 files changed, 22378 insertions, 0 deletions
diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000..6b6aa7c
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1,9 @@
+*.o
+*~
+#*
+*.bak
+*.s
+*.i
+*.obj
+*.exe
+mktables
diff --git a/Makefile b/Makefile
new file mode 100644
index 0000000..069393e
--- /dev/null
+++ b/Makefile
@@ -0,0 +1,24 @@
+CC = gcc
+CFLAGS = -W -Wall -g -std=c99 -O3 -ffast-math -march=native
+LDFLAGS =
+LIBS = -lm
+
+all: csv
+
+csv: mktables
+ ./mktables
+
+%.o: %.c
+ $(CC) $(CFLAGS) -c -o $@ $<
+
+mktables: mktables.o color.o rgbxyz.o
+ $(CC) $(LDLFLAGS) -o $@ $^ $(LIBS)
+
+clean:
+ rm -f *.o mktables
+
+distclean: clean
+ rm -f *~ \#*
+
+spotless: distclean
+ rm -f *.csv
diff --git a/README b/README
new file mode 100644
index 0000000..98fe3e6
--- /dev/null
+++ b/README
@@ -0,0 +1,63 @@
+These tables represent the Planckian (thermal) and spectral locus
+output for WS2812B. The observer model used is the CIE 2012 10°
+observer.
+
+All RGB values are given as floating-point numbers between 0 and 255,
+so they can be scaled as desired for your application. This allows
+the values to be easily scaled to any designed brightness, or mixed
+with other colors, without losing precision. If you want plain RGB
+values to output to the LEDs, just round to integer.
+
+
+*** thermal.csv:
+
+The minimum achievable *approximate* color temperature with WS2812B is
+638.0 K, which corresponds to G = B = 0.
+
+The maximum R component is at 1662.0 K.
+
+The brightest possible thermal (Planckian) temperature is 8743.7 K, at
+which point RGB = (216.15 255.00 255.00).
+
+The approximate color temperature of R = G = B = 255 is 7170 K,
+however, this is not actually Planckian color.
+
+As the dynamic range of the *actual* Planckian locus is enormous, the
+values have been scaled by a power function so that:
+
+ R = 255 at maximum red (T = 1662.0 K)
+ G = B = 255 at maximum thermal brightness (T = 8743.7 K)
+
+Values above 8743.7 K are capped so that B = 255. Thus, brightness
+will decrease with increasing temperature.
+
+The values given are:
+
+1. Temperature in mireds (inverse megakelvins, 10^6/T)
+2. Temperature in kelvins
+3. R,G,B
+
+
+*** spectral.csv
+
+This represents an approximation of pure spectral colors. As the
+spectral locus is curved in XYZ color space, only the actual pure RGB
+primaries are achievable as true spectral colors; all the rest of them
+would require at least one negative RGB value, which is of course
+impossible.
+
+The values given are:
+
+1. Wavelength in nanometers
+2. R,G,B
+
+
+*** color.c, rgbxyz.c
+
+These are C functions which contain a variety of color transformation
+functions. color.c is generic; rgbxyz.c is specific to WS2812B and
+was calculated by the Octave/Matlab script rgbxyz.mat.
+
+The files lin2012xyz10e_fine_7sf.* are helper files for color.c (and
+are #included into color.c); they contain the data for the observer
+model.
diff --git a/color.c b/color.c
new file mode 100644
index 0000000..f50d51f
--- /dev/null
+++ b/color.c
@@ -0,0 +1,238 @@
+/*
+ * Color space conversion functions, as well as functions to compute
+ * color coordinates of locations of the spectral and Planck (thermal)
+ * loci. The color space used is CIE xy; combine with intensity (Y)
+ * for a total set of color coordinates. Colors need to be converted
+ * to XYZ space (weighted by intensity) before mixing.
+ */
+
+#include "color.h"
+
+/* Convert CIE XYZ to CIE xy */
+struct cie_xy const_func XYZ_to_xy(struct cie_XYZ XYZ)
+{
+ struct cie_xy xy;
+ double total = XYZ.X + XYZ.Y + XYZ.Z;
+
+ xy.x = XYZ.X / total;
+ xy.y = XYZ.Y / total;
+
+ return xy;
+}
+
+/* Convert CIE xy + Y to CIE XYZ */
+struct cie_XYZ const_func xyY_to_XYZ(struct cie_xy xy, double Y)
+{
+ struct cie_XYZ XYZ;
+ double Y_y = Y / xy.y; /* Intensity weighting factor */
+
+ XYZ.Y = Y;
+ XYZ.X = Y_y * xy.x;
+ XYZ.Z = Y_y - Y_y * (xy.x + xy.y);
+
+ return XYZ;
+}
+
+struct Luv_uv_prime {
+ double u, v; /* Intermediate u' and v' values */
+};
+
+static struct const_func Luv_uv_prime Luv_uv_prime(struct cie_XYZ XYZ)
+{
+ struct Luv_uv_prime uv;
+ double den = XYZ.X + 15.0*XYZ.Y + 3.0*XYZ.Z;
+
+ uv.u = 4.0*XYZ.X / den;
+ uv.v = 9.0*XYZ.Y / den;
+
+ return uv;
+}
+
+/* Convert CIE XYZ to CIE L*u*v* given a specific whitepoint */
+struct cie_Luv const_func XYZ_to_Luv(struct cie_XYZ XYZ, struct cie_XYZ white)
+{
+ struct cie_Luv Luv;
+ struct Luv_uv_prime uv; /* u'v' */
+ struct Luv_uv_prime uv_n; /* u'v' for whitepoint */
+ double Y_Yn = XYZ.Y / white.Y; /* Relative intensity */
+ const double Y_cutoff = (6.0*6.0*6.0)/(29.0*29.0*29.0);
+ double L13;
+
+ if (Y_Yn <= Y_cutoff)
+ Luv.L = ((29.0*29.0*29.0)/(3.0*3.0*3.0)) * Y_Yn;
+ else
+ Luv.L = 116.0*cbrt(Y_Yn) - 16.0;
+
+ L13 = 13.0 * Luv.L;
+
+ uv = Luv_uv_prime(XYZ);
+ uv_n = Luv_uv_prime(white);
+
+ Luv.u = L13 * (uv.u - uv_n.u);
+ Luv.v = L13 * (uv.v - uv_n.v);
+
+ return Luv;
+}
+
+/* Convert CIE L*u*v* to CIE XYZ */
+struct cie_XYZ const_func Luv_to_XYZ(struct cie_Luv Luv, struct cie_XYZ white)
+{
+ struct Luv_uv_prime uv_n; /* u'v' for white point */
+ double u, v; /* u'v' */
+ struct cie_XYZ XYZ;
+ double Y;
+ double L13_inv; /* 1.0/(13.0*L) */
+
+ uv_n = Luv_uv_prime(white);
+
+ L13_inv = 1.0/(13.0 * Luv.L);
+
+ u = Luv.u * L13_inv + uv_n.u;
+ v = Luv.v * L13_inv + uv_n.v;
+
+ if (Luv.L <= 8.0) {
+ Y = white.Y * (Luv.L * ((3.0*3.0*3.0)/(29.0*29.0*29.0)));
+ } else {
+ double q = (Luv.L + 16.0)/116.0;
+ Y = white.Y * (q * q * q);
+ }
+
+ XYZ.X = 9.0 * Y * u / (4.0 * v);
+ XYZ.Y = Y;
+ XYZ.Z = - Y * (3.0*u + 20.0*v - 12.0)/(4.0*v);
+
+ return XYZ;
+}
+
+/*
+ * Compute CIE xy for a specific spectral wavelength in nm.
+ * The Y coordinates can be obtained from the photometric flux
+ * (given in candela.)
+ *
+ * These are the 10° CIE 2006 values.
+ */
+#include "lin2012xyz10e_fine_7sf.c"
+
+struct cie_xy pure_func spectral(double nm)
+{
+ /* If the value is black, return the point of equal power */
+ int tblstep = round(nm * xytbl_step);
+
+ if (tblstep < xytbl_first)
+ return xytbl[0]; /* Arbitrary */
+ else if (tblstep > xytbl_last)
+ return xytbl[xytbl_last - xytbl_first];
+ else
+ return xytbl[tblstep - xytbl_first];
+}
+
+/*
+ * Compute CIE XYZ coordinates for a particular point on the Planckian
+ * locus (color temperature)
+ */
+struct cie_XYZ pure_func planckian(double T)
+{
+ /*
+ * Second radiation constant c2 = hc/k, value from CODATA:
+ * https://physics.nist.gov/cgi-bin/cuu/Value?c22ndrc|search_for=radiation
+ */
+ const double c2 = 1.43877736e-2; /* m·K */
+ double M;
+ int i;
+ struct cie_XYZ XYZ;
+ const struct cie_XYZ *p;
+
+ XYZ.X = XYZ.Y = XYZ.Z = 0.0;
+
+ p = &XYZtbl[0];
+ for (i = xytbl_first; i <= xytbl_last; i++) {
+ double lambda = i * xytbl_m;
+ double lambda2, lambda5;
+
+ lambda2 = lambda*lambda;
+ lambda5 = lambda2*lambda2*lambda;
+
+ M = 1.0/(lambda5 * expm1(c2/(lambda*T)));
+ XYZ.X += p->X * M;
+ XYZ.Y += p->Y * M;
+ XYZ.Z += p->Z * M;
+
+ p++;
+ }
+
+ return XYZ;
+}
+
+/*
+ * Convert sRGB color space, the default color space for image files,
+ * to/from XYZ. This is VERY different color space from the LED RGB
+ * color spaces: not only does it have a much smaller color gamut, but
+ * it is also nonlinear.
+ */
+static double const_func sRGB_to_linear(double c)
+{
+ if (c <= 0.04045)
+ c = c/(255.0*12.92);
+ else
+ c = pow((c + 0.055*255.0)/(255.0*1.055), 2.4);
+
+ return c;
+}
+
+static double const_func linear_to_sRGB(double c)
+{
+ /* Cap the value to the range [0,1] */
+ c = signbit(c) ? 0.0 : (c > 1.0) ? 1.0 : c;
+
+ if (c <= 1.0/0.04045)
+ c = (12.92*255.0) * c;
+ else
+ c = (255.0*1.055) * pow(c, 1.0/2.4) - (255.0*0.055);
+
+ return c;
+}
+
+
+struct cie_XYZ sRGB_to_XYZ(struct RGB sRGB)
+{
+ double R, G, B; /* *Linear* RGB values in the tange [0,1] */
+ struct cie_XYZ XYZ;
+
+ R = sRGB_to_linear(sRGB.R);
+ G = sRGB_to_linear(sRGB.G);
+ B = sRGB_to_linear(sRGB.B);
+
+ XYZ.X = 4.12315151515152e-01 * R +
+ 3.57600000000000e-01 * G +
+ 1.80500000000000e-01 * B;
+ XYZ.Y = 2.12600000000000e-01 * R +
+ 7.15200000000000e-01 * G +
+ 7.22000000000000e-02 * B;
+ XYZ.Z = 1.93272727272727e-02 * R +
+ 1.19200000000000e-01 * G +
+ 9.50633333333333e-01 * B;
+
+ return XYZ;
+}
+
+struct RGB const_func XYZ_to_sRGB(struct cie_XYZ XYZ)
+{
+ double R, G, B; /* *Linear* RGB values in the tange [0,1] */
+ struct RGB sRGB;
+
+ R = 3.24156456493897e+00 * XYZ.X +
+ -1.53766524234284e+00 * XYZ.Y +
+ -4.98702240759841e-01 * XYZ.Z;
+ G = -9.69201189545655e-01 * XYZ.X +
+ 1.87588534600745e+00 * XYZ.Y +
+ 4.15532375587361e-02 * XYZ.Z;
+ B = 5.56241586846000e-02 * XYZ.X +
+ -2.03955248510200e-01 * XYZ.Y +
+ 1.05685901500740e+00 * XYZ.Z;
+
+ sRGB.R = linear_to_sRGB(R);
+ sRGB.G = linear_to_sRGB(G);
+ sRGB.B = linear_to_sRGB(B);
+
+ return sRGB;
+}
diff --git a/color.h b/color.h
new file mode 100644
index 0000000..e4811c4
--- /dev/null
+++ b/color.h
@@ -0,0 +1,62 @@
+#ifndef COLOR_H
+#define COLOR_H
+
+#include <stddef.h>
+#include <stdbool.h>
+#include <math.h>
+#include <inttypes.h>
+
+/*
+ * CIE xy is a chromatic-only colorspace without intensity
+ */
+struct cie_xy {
+ double x; /* x chromacity */
+ double y; /* y chromacity */
+};
+
+/*
+ * CIE XYZ is an intensity-weighted colorspace
+ */
+struct cie_XYZ {
+ double X; /* X weighted chromacity */
+ double Y; /* Intensity */
+ double Z; /* Z weighted chromacity */
+};
+
+/*
+ * CIE L*u*v* is close-to-linear-in-hue color space suitable for gradients;
+ * it is NOT additive for different intensities (Y coordinates)
+ */
+struct cie_Luv {
+ double L; /* L*, relative intensity, 0 ≤ L* ≤ 100 */
+ double u; /* u*, -100 ≤ u* ≤ 100 */
+ double v; /* v*, -100 ≤ v* ≤ 100 */
+};
+
+/*
+ * RGB as a floating-point vector
+ */
+struct RGB {
+ double R, G, B;
+};
+
+#ifdef __GNUC__
+# define const_func __attribute__((const))
+# define pure_func __attribute__((pure))
+#else
+# define const_func
+# define pure_func
+#endif
+
+struct cie_xy const_func XYZ_to_xy(struct cie_XYZ XYZ);
+struct cie_XYZ const_func xyY_to_XYZ(struct cie_xy xy, double Y);
+struct cie_Luv const_func XYZ_to_Luv(struct cie_XYZ XYZ, struct cie_XYZ white);
+struct cie_XYZ const_func Luv_to_XYZ(struct cie_Luv Luv, struct cie_XYZ white);
+struct cie_xy pure_func spectral(double nm);
+struct cie_XYZ pure_func planckian(double T);
+struct RGB const_func XYZ_to_RGB(struct cie_XYZ XYZ);
+struct cie_XYZ const_func RGB_to_XYZ(struct RGB RGB);
+struct RGB const_func XYZ_to_sRGB(struct cie_XYZ XYZ);
+struct cie_XYZ sRGB_to_XYZ(struct RGB sRGB);
+
+#endif /* COLOR_H */
diff --git a/lin2012xyz10e_fine_7sf.c b/lin2012xyz10e_fine_7sf.c
new file mode 100644
index 0000000..cfd1879
--- /dev/null
+++ b/lin2012xyz10e_fine_7sf.c
@@ -0,0 +1,26 @@
+#define xytbl_first 3900 /* First value (units of 0.1 nm) */
+#define xytbl_last 8300 /* Last value in table */
+#define xytbl_step 10.0 /* Step size in nm^-1 */
+#define xytbl_m 1.0e-10 /* Step size in m */
+
+
+/*
+ * 2016 CIE standard observer parameters;
+ * table values obtained from http://www.cvrl.org/ciexyzpr.htm
+ */
+
+/* xy chromacity coordinates */
+#define XYZTBLV(nm,X,Y,Z) {(X)/(X+Y+Z), (Y)/(X+Y+Z)}
+static const struct cie_xy xytbl[xytbl_last - xytbl_first + 1] =
+{
+#include "lin2012xyz10e_fine_7sf.tab"
+};
+#undef XYZTBLV
+
+/* XYZ coordinates */
+#define XYZTBLV(nm,X,Y,Z) {(X), (Y), (Z)}
+static const struct cie_XYZ XYZtbl[xytbl_last - xytbl_first + 1] =
+{
+#include "lin2012xyz10e_fine_7sf.tab"
+};
+#undef XYZTBLV
diff --git a/lin2012xyz10e_fine_7sf.tab b/lin2012xyz10e_fine_7sf.tab
new file mode 100644
index 0000000..ea30d5e
--- /dev/null
+++ b/lin2012xyz10e_fine_7sf.tab
@@ -0,0 +1,4401 @@
+ XYZTBLV(390.0,2.952420E-03,4.076779E-04,1.318752E-02),
+ XYZTBLV(390.1,3.009684E-03,4.159355E-04,1.344311E-02),
+ XYZTBLV(390.2,3.068053E-03,4.243528E-04,1.370368E-02),
+ XYZTBLV(390.3,3.127548E-03,4.329325E-04,1.396931E-02),
+ XYZTBLV(390.4,3.188188E-03,4.416775E-04,1.424011E-02),
+ XYZTBLV(390.5,3.249995E-03,4.505904E-04,1.451617E-02),
+ XYZTBLV(390.6,3.312990E-03,4.596743E-04,1.479759E-02),
+ XYZTBLV(390.7,3.377193E-03,4.689319E-04,1.508446E-02),
+ XYZTBLV(390.8,3.442627E-03,4.783663E-04,1.537688E-02),
+ XYZTBLV(390.9,3.509314E-03,4.879803E-04,1.567496E-02),
+ XYZTBLV(391.0,3.577275E-03,4.977769E-04,1.597879E-02),
+ XYZTBLV(391.1,3.646533E-03,5.077593E-04,1.628849E-02),
+ XYZTBLV(391.2,3.717112E-03,5.179304E-04,1.660416E-02),
+ XYZTBLV(391.3,3.789034E-03,5.282934E-04,1.692590E-02),
+ XYZTBLV(391.4,3.862324E-03,5.388515E-04,1.725382E-02),
+ XYZTBLV(391.5,3.937005E-03,5.496077E-04,1.758804E-02),
+ XYZTBLV(391.6,4.013102E-03,5.605653E-04,1.792867E-02),
+ XYZTBLV(391.7,4.090639E-03,5.717276E-04,1.827582E-02),
+ XYZTBLV(391.8,4.169642E-03,5.830978E-04,1.862961E-02),
+ XYZTBLV(391.9,4.250136E-03,5.946793E-04,1.899016E-02),
+ XYZTBLV(392.0,4.332146E-03,6.064754E-04,1.935758E-02),
+ XYZTBLV(392.1,4.415700E-03,6.184896E-04,1.973200E-02),
+ XYZTBLV(392.2,4.500822E-03,6.307251E-04,2.011354E-02),
+ XYZTBLV(392.3,4.587541E-03,6.431856E-04,2.050233E-02),
+ XYZTBLV(392.4,4.675884E-03,6.558745E-04,2.089849E-02),
+ XYZTBLV(392.5,4.765878E-03,6.687953E-04,2.130215E-02),
+ XYZTBLV(392.6,4.857551E-03,6.819515E-04,2.171344E-02),
+ XYZTBLV(392.7,4.950931E-03,6.953469E-04,2.213249E-02),
+ XYZTBLV(392.8,5.046048E-03,7.089850E-04,2.255944E-02),
+ XYZTBLV(392.9,5.142931E-03,7.228694E-04,2.299442E-02),
+ XYZTBLV(393.0,5.241609E-03,7.370040E-04,2.343758E-02),
+ XYZTBLV(393.1,5.342112E-03,7.513923E-04,2.388904E-02),
+ XYZTBLV(393.2,5.444470E-03,7.660382E-04,2.434896E-02),
+ XYZTBLV(393.3,5.548715E-03,7.809455E-04,2.481747E-02),
+ XYZTBLV(393.4,5.654877E-03,7.961179E-04,2.529473E-02),
+ XYZTBLV(393.5,5.762987E-03,8.115594E-04,2.578087E-02),
+ XYZTBLV(393.6,5.873079E-03,8.272737E-04,2.627605E-02),
+ XYZTBLV(393.7,5.985183E-03,8.432649E-04,2.678042E-02),
+ XYZTBLV(393.8,6.099333E-03,8.595368E-04,2.729414E-02),
+ XYZTBLV(393.9,6.215561E-03,8.760934E-04,2.781735E-02),
+ XYZTBLV(394.0,6.333902E-03,8.929388E-04,2.835021E-02),
+ XYZTBLV(394.1,6.454389E-03,9.100768E-04,2.889289E-02),
+ XYZTBLV(394.2,6.577056E-03,9.275116E-04,2.944555E-02),
+ XYZTBLV(394.3,6.701939E-03,9.452473E-04,3.000834E-02),
+ XYZTBLV(394.4,6.829071E-03,9.632878E-04,3.058144E-02),
+ XYZTBLV(394.5,6.958490E-03,9.816374E-04,3.116500E-02),
+ XYZTBLV(394.6,7.090230E-03,1.000300E-03,3.175921E-02),
+ XYZTBLV(394.7,7.224328E-03,1.019280E-03,3.236423E-02),
+ XYZTBLV(394.8,7.360820E-03,1.038582E-03,3.298023E-02),
+ XYZTBLV(394.9,7.499744E-03,1.058209E-03,3.360739E-02),
+ XYZTBLV(395.0,7.641137E-03,1.078166E-03,3.424588E-02),
+ XYZTBLV(395.1,7.785038E-03,1.098457E-03,3.489589E-02),
+ XYZTBLV(395.2,7.931483E-03,1.119087E-03,3.555760E-02),
+ XYZTBLV(395.3,8.080513E-03,1.140059E-03,3.623118E-02),
+ XYZTBLV(395.4,8.232165E-03,1.161378E-03,3.691683E-02),
+ XYZTBLV(395.5,8.386481E-03,1.183048E-03,3.761473E-02),
+ XYZTBLV(395.6,8.543498E-03,1.205073E-03,3.832507E-02),
+ XYZTBLV(395.7,8.703258E-03,1.227459E-03,3.904804E-02),
+ XYZTBLV(395.8,8.865801E-03,1.250208E-03,3.978383E-02),
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+ XYZTBLV(819.6,2.905722E-06,1.162646E-06,0.000000E+00),
+ XYZTBLV(819.7,2.888638E-06,1.155866E-06,0.000000E+00),
+ XYZTBLV(819.8,2.871654E-06,1.149125E-06,0.000000E+00),
+ XYZTBLV(819.9,2.854768E-06,1.142422E-06,0.000000E+00),
+ XYZTBLV(820.0,2.837980E-06,1.135758E-06,0.000000E+00),
+ XYZTBLV(820.1,2.821289E-06,1.129132E-06,0.000000E+00),
+ XYZTBLV(820.2,2.804695E-06,1.122543E-06,0.000000E+00),
+ XYZTBLV(820.3,2.788196E-06,1.115993E-06,0.000000E+00),
+ XYZTBLV(820.4,2.771794E-06,1.109480E-06,0.000000E+00),
+ XYZTBLV(820.5,2.755487E-06,1.103004E-06,0.000000E+00),
+ XYZTBLV(820.6,2.739275E-06,1.096566E-06,0.000000E+00),
+ XYZTBLV(820.7,2.723157E-06,1.090165E-06,0.000000E+00),
+ XYZTBLV(820.8,2.707133E-06,1.083800E-06,0.000000E+00),
+ XYZTBLV(820.9,2.691203E-06,1.077472E-06,0.000000E+00),
+ XYZTBLV(821.0,2.675365E-06,1.071181E-06,0.000000E+00),
+ XYZTBLV(821.1,2.659621E-06,1.064926E-06,0.000000E+00),
+ XYZTBLV(821.2,2.643969E-06,1.058708E-06,0.000000E+00),
+ XYZTBLV(821.3,2.628408E-06,1.052525E-06,0.000000E+00),
+ XYZTBLV(821.4,2.612939E-06,1.046379E-06,0.000000E+00),
+ XYZTBLV(821.5,2.597561E-06,1.040268E-06,0.000000E+00),
+ XYZTBLV(821.6,2.582273E-06,1.034192E-06,0.000000E+00),
+ XYZTBLV(821.7,2.567076E-06,1.028152E-06,0.000000E+00),
+ XYZTBLV(821.8,2.551968E-06,1.022148E-06,0.000000E+00),
+ XYZTBLV(821.9,2.536949E-06,1.016178E-06,0.000000E+00),
+ XYZTBLV(822.0,2.522020E-06,1.010243E-06,0.000000E+00),
+ XYZTBLV(822.1,2.507178E-06,1.004343E-06,0.000000E+00),
+ XYZTBLV(822.2,2.492424E-06,9.984776E-07,0.000000E+00),
+ XYZTBLV(822.3,2.477758E-06,9.926464E-07,0.000000E+00),
+ XYZTBLV(822.4,2.463180E-06,9.868496E-07,0.000000E+00),
+ XYZTBLV(822.5,2.448687E-06,9.810867E-07,0.000000E+00),
+ XYZTBLV(822.6,2.434281E-06,9.753578E-07,0.000000E+00),
+ XYZTBLV(822.7,2.419961E-06,9.696626E-07,0.000000E+00),
+ XYZTBLV(822.8,2.405726E-06,9.640010E-07,0.000000E+00),
+ XYZTBLV(822.9,2.391576E-06,9.583729E-07,0.000000E+00),
+ XYZTBLV(823.0,2.377511E-06,9.527779E-07,0.000000E+00),
+ XYZTBLV(823.1,2.363530E-06,9.472161E-07,0.000000E+00),
+ XYZTBLV(823.2,2.349633E-06,9.416872E-07,0.000000E+00),
+ XYZTBLV(823.3,2.335819E-06,9.361911E-07,0.000000E+00),
+ XYZTBLV(823.4,2.322087E-06,9.307276E-07,0.000000E+00),
+ XYZTBLV(823.5,2.308439E-06,9.252965E-07,0.000000E+00),
+ XYZTBLV(823.6,2.294872E-06,9.198977E-07,0.000000E+00),
+ XYZTBLV(823.7,2.281387E-06,9.145311E-07,0.000000E+00),
+ XYZTBLV(823.8,2.267983E-06,9.091964E-07,0.000000E+00),
+ XYZTBLV(823.9,2.254660E-06,9.038936E-07,0.000000E+00),
+ XYZTBLV(824.0,2.241417E-06,8.986224E-07,0.000000E+00),
+ XYZTBLV(824.1,2.228255E-06,8.933827E-07,0.000000E+00),
+ XYZTBLV(824.2,2.215172E-06,8.881743E-07,0.000000E+00),
+ XYZTBLV(824.3,2.202168E-06,8.829971E-07,0.000000E+00),
+ XYZTBLV(824.4,2.189243E-06,8.778510E-07,0.000000E+00),
+ XYZTBLV(824.5,2.176396E-06,8.727357E-07,0.000000E+00),
+ XYZTBLV(824.6,2.163628E-06,8.676511E-07,0.000000E+00),
+ XYZTBLV(824.7,2.150937E-06,8.625971E-07,0.000000E+00),
+ XYZTBLV(824.8,2.138323E-06,8.575734E-07,0.000000E+00),
+ XYZTBLV(824.9,2.125785E-06,8.525801E-07,0.000000E+00),
+ XYZTBLV(825.0,2.113325E-06,8.476168E-07,0.000000E+00),
+ XYZTBLV(825.1,2.100940E-06,8.426834E-07,0.000000E+00),
+ XYZTBLV(825.2,2.088631E-06,8.377798E-07,0.000000E+00),
+ XYZTBLV(825.3,2.076396E-06,8.329059E-07,0.000000E+00),
+ XYZTBLV(825.4,2.064237E-06,8.280614E-07,0.000000E+00),
+ XYZTBLV(825.5,2.052152E-06,8.232463E-07,0.000000E+00),
+ XYZTBLV(825.6,2.040141E-06,8.184604E-07,0.000000E+00),
+ XYZTBLV(825.7,2.028204E-06,8.137034E-07,0.000000E+00),
+ XYZTBLV(825.8,2.016340E-06,8.089753E-07,0.000000E+00),
+ XYZTBLV(825.9,2.004549E-06,8.042760E-07,0.000000E+00),
+ XYZTBLV(826.0,1.992830E-06,7.996052E-07,0.000000E+00),
+ XYZTBLV(826.1,1.981183E-06,7.949629E-07,0.000000E+00),
+ XYZTBLV(826.2,1.969608E-06,7.903488E-07,0.000000E+00),
+ XYZTBLV(826.3,1.958104E-06,7.857628E-07,0.000000E+00),
+ XYZTBLV(826.4,1.946671E-06,7.812048E-07,0.000000E+00),
+ XYZTBLV(826.5,1.935309E-06,7.766747E-07,0.000000E+00),
+ XYZTBLV(826.6,1.924017E-06,7.721722E-07,0.000000E+00),
+ XYZTBLV(826.7,1.912795E-06,7.676972E-07,0.000000E+00),
+ XYZTBLV(826.8,1.901642E-06,7.632497E-07,0.000000E+00),
+ XYZTBLV(826.9,1.890558E-06,7.588293E-07,0.000000E+00),
+ XYZTBLV(827.0,1.879542E-06,7.544361E-07,0.000000E+00),
+ XYZTBLV(827.1,1.868595E-06,7.500698E-07,0.000000E+00),
+ XYZTBLV(827.2,1.857716E-06,7.457304E-07,0.000000E+00),
+ XYZTBLV(827.3,1.846904E-06,7.414176E-07,0.000000E+00),
+ XYZTBLV(827.4,1.836160E-06,7.371313E-07,0.000000E+00),
+ XYZTBLV(827.5,1.825482E-06,7.328714E-07,0.000000E+00),
+ XYZTBLV(827.6,1.814871E-06,7.286377E-07,0.000000E+00),
+ XYZTBLV(827.7,1.804326E-06,7.244301E-07,0.000000E+00),
+ XYZTBLV(827.8,1.793846E-06,7.202484E-07,0.000000E+00),
+ XYZTBLV(827.9,1.783432E-06,7.160926E-07,0.000000E+00),
+ XYZTBLV(828.0,1.773083E-06,7.119624E-07,0.000000E+00),
+ XYZTBLV(828.1,1.762798E-06,7.078578E-07,0.000000E+00),
+ XYZTBLV(828.2,1.752578E-06,7.037786E-07,0.000000E+00),
+ XYZTBLV(828.3,1.742421E-06,6.997246E-07,0.000000E+00),
+ XYZTBLV(828.4,1.732328E-06,6.956957E-07,0.000000E+00),
+ XYZTBLV(828.5,1.722299E-06,6.916918E-07,0.000000E+00),
+ XYZTBLV(828.6,1.712332E-06,6.877127E-07,0.000000E+00),
+ XYZTBLV(828.7,1.702427E-06,6.837584E-07,0.000000E+00),
+ XYZTBLV(828.8,1.692585E-06,6.798285E-07,0.000000E+00),
+ XYZTBLV(828.9,1.682805E-06,6.759232E-07,0.000000E+00),
+ XYZTBLV(829.0,1.673086E-06,6.720421E-07,0.000000E+00),
+ XYZTBLV(829.1,1.663428E-06,6.681852E-07,0.000000E+00),
+ XYZTBLV(829.2,1.653831E-06,6.643523E-07,0.000000E+00),
+ XYZTBLV(829.3,1.644294E-06,6.605432E-07,0.000000E+00),
+ XYZTBLV(829.4,1.634817E-06,6.567580E-07,0.000000E+00),
+ XYZTBLV(829.5,1.625400E-06,6.529964E-07,0.000000E+00),
+ XYZTBLV(829.6,1.616043E-06,6.492582E-07,0.000000E+00),
+ XYZTBLV(829.7,1.606744E-06,6.455434E-07,0.000000E+00),
+ XYZTBLV(829.8,1.597504E-06,6.418519E-07,0.000000E+00),
+ XYZTBLV(829.9,1.588323E-06,6.381835E-07,0.000000E+00),
+ XYZTBLV(830.0,1.579199E-06,6.345380E-07,0.000000E+00),
diff --git a/mktables.c b/mktables.c
new file mode 100644
index 0000000..f5ac4cd
--- /dev/null
+++ b/mktables.c
@@ -0,0 +1,230 @@
+/*
+ * Compute color coordinates of locations of the spectral and Planck
+ * (thermal) loci. The color space used is CIE xy; combine with
+ * intensity (Y) for a total set of color coordinates. Colors need to
+ * be converted to XYZ space (weighted by intensity) before mixing.
+ */
+
+#include "color.h"
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+
+static inline double rgbmax(struct RGB RGB)
+{
+ double m;
+
+ m = (RGB.R < RGB.G) ? RGB.G : RGB.R;
+ m = (m < RGB.B) ? RGB.B : m;
+
+ return m;
+}
+
+static void thermal_table(FILE *f)
+{
+ double mired;
+ double T; /* Temperature (K) */
+ double scale, power;
+ double scale2;
+ struct cie_XYZ XYZ;
+ struct RGB RGB;
+ struct cie_xy xy;
+ double m;
+ bool capped;
+ double lyr, lyw; /* log(Y) for red and white points */
+ double syr, syw; /* Scaled Y for red and white points */
+
+ /* Full level calculation - test */
+ RGB.R = 255.0;
+ RGB.G = 255.0;
+ RGB.B = 255.0;
+
+ XYZ = RGB_to_XYZ(RGB);
+ printf("X %11.8f Y %11.8f Z %11.8f\n",
+ XYZ.X, XYZ.Y, XYZ.Z);
+ RGB = XYZ_to_RGB(XYZ);
+ printf("R %11.6f G %11.6f B %11.6f\n",
+ RGB.R, RGB.G, RGB.B);
+ xy = XYZ_to_xy(XYZ);
+ printf("x %11.8f y %11.8f\n",
+ xy.x, xy.y);
+
+ putchar('\n');
+ printf("%-7s %-7s %-10s %-10s %-10s %-10s %-10s %-10s %-10s %-10s\n",
+ "Mired", "Temp(K)", "X", "Y", "Z", "R", "G", "B", "x", "y");
+
+ /*
+ * Compute a power scale so that the red point is at (255,0,0)
+ * and the white point at the maximum available intensity,
+ * == scale.
+ */
+ /* Red point */
+ T = 1662.0; /* Peak red */
+
+ XYZ = planckian(T);
+ printf("Y(r) = %g, ", XYZ.Y);
+ lyr = log(XYZ.Y);
+ RGB = XYZ_to_RGB(XYZ);
+ m = XYZ.Y * 255.0/rgbmax(RGB);
+ syr = log(m);
+ printf("SY(r) = %g\n", m);
+
+ /* White point */
+ T = 8743.7;
+ XYZ = planckian(T);
+ printf("Y(w) = %g, ", XYZ.Y);
+ lyw = log(XYZ.Y);
+ RGB = XYZ_to_RGB(XYZ);
+ m = XYZ.Y * 255.0/rgbmax(RGB);
+ syw = log(m);
+ printf("SY(w) = %g\n", m);
+
+ /*
+ * Power law matching:
+ *
+ * y = A x^B
+ * ln y = ln A + ln (x^B)
+ * ln y = ln A + B ln x
+ * ln y1 - ln y0 = B (ln x1 - ln x0)
+ * B = (ln y1 - ln y0)/(ln x1 - ln x0)
+ * ln y1 = ln A + B ln x1
+ * ln A = ln y1 - B ln x1
+ * A = exp(ln y1 - B ln x1)
+ */
+
+ power = (syw - syr)/(lyw - lyr);
+ scale = exp(syw - lyw*power);
+ power = power - 1.0; /* divide the factor with Y */
+
+ printf("lyr = %g, syr = %g\n", lyr, syr);
+ printf("lyw = %g, syw = %g\n", lyw, syw);
+ printf("power = %g, scale = %g\n", power, scale);
+
+ scale2 = scale * pow(XYZ.Y, power);
+ XYZ.X *= scale2;
+ XYZ.Y *= scale2;
+ XYZ.Z *= scale2;
+
+ xy = XYZ_to_xy(XYZ);
+ RGB = XYZ_to_RGB(XYZ);
+
+ printf("%4.0f %7.1f %10.5g %10.5g %10.5g %10.2f %10.2f %10.2f %10.5g %10.5g\n",
+ 1.0e+6/T, T,
+ XYZ.X, XYZ.Y, XYZ.Z,
+ RGB.R, RGB.G, RGB.B,
+ xy.x, xy.y);
+
+ for (mired = 1567.0; mired >= 1.0; mired -= 0.1) {
+ T = 1.0e+6/mired;
+
+ XYZ = planckian(T);
+
+ /* Compress the dynamic range */
+ scale2 = scale * pow(XYZ.Y, power);
+
+ XYZ.X *= scale2;
+ XYZ.Y *= scale2;
+ XYZ.Z *= scale2;
+
+ RGB = XYZ_to_RGB(XYZ);
+ m = rgbmax(RGB);
+ capped = round(m) > 255.0;
+ if (capped) {
+ /* Higher temp than white point, need to cap */
+ scale2 = 255.0/m;
+
+ XYZ.X *= scale2;
+ XYZ.Y *= scale2;
+ XYZ.Z *= scale2;
+ RGB.R *= scale2;
+ RGB.G *= scale2;
+ RGB.B *= scale2;
+ }
+
+ xy = XYZ_to_xy(XYZ);
+
+ printf("%6.1f%c %7.1f %10.5g %10.5g %10.5g %10.2f %10.2f %10.2f %10.5g %10.5g\n",
+ mired, capped ? '*' : ' ', T,
+ XYZ.X, XYZ.Y, XYZ.Z, RGB.R, RGB.G, RGB.B, xy.x, xy.y);
+
+ if (signbit(RGB.R)) RGB.R = 0.0;
+ if (signbit(RGB.G)) RGB.G = 0.0;
+ if (signbit(RGB.B)) RGB.B = 0.0;
+
+ fprintf(f, "%.1f,%.2f,%.6f,%.6f,%.6f\n",
+ mired, T, RGB.R, RGB.G, RGB.B);
+
+ if (RGB.R < 0.5 && RGB.G < 0.5)
+ break;
+ }
+}
+
+static void spectral_table(FILE *f)
+{
+ const struct RGB blue_RGB = {0.0, 0.0, 255.0};
+ struct cie_XYZ blue;
+ struct cie_XYZ XYZ;
+ struct cie_xy xy, redxy;
+ struct RGB RGB;
+ double nm;
+
+ /* Normalize to all blue intensity */
+ blue = RGB_to_XYZ(blue_RGB);
+ RGB = XYZ_to_RGB(blue);
+ xy = XYZ_to_xy(blue);
+ printf("Blue: RGB = %.1f %.1f %.1f Y = %.3f xy = %.3f %.3f\n",
+ RGB.R, RGB.G, RGB.B, blue.Y, xy.x, xy.y);
+
+ RGB.R = 255.0;
+ RGB.G = 255.0;
+ RGB.B = 255.0;
+ XYZ = RGB_to_XYZ(RGB);
+ xy = XYZ_to_xy(XYZ);
+ RGB = XYZ_to_RGB(XYZ);
+ printf("Peak: RGB = %.1f %.1f %.1f Y = %.6f xy = %.3f %.3f\n",
+ RGB.R, RGB.G, RGB.B, XYZ.Y, xy.x, xy.y);
+
+ RGB.R = 255.0;
+ RGB.G = 0.0;
+ RGB.B = 0.0;
+ XYZ = RGB_to_XYZ(RGB);
+ redxy = XYZ_to_xy(XYZ);
+ RGB = XYZ_to_RGB(XYZ);
+ printf("Redk: RGB = %.1f %.1f %.1f Y = %.6f xy = %.3f %.3f\n",
+ RGB.R, RGB.G, RGB.B, XYZ.Y, redxy.x, redxy.y);
+
+ for (nm = 466.0; nm <= 800.05; nm += 0.1) {
+ xy = spectral(nm);
+ XYZ = xyY_to_XYZ(xy, blue.Y);
+ RGB = XYZ_to_RGB(XYZ);
+
+ printf("%5.1f RGB = %7.3f %7.3f %7.3f Y = %.6f xy = %.3f %.3f\n",
+ nm, RGB.R, RGB.G, RGB.B, XYZ.Y, xy.x, xy.y);
+
+ if (signbit(RGB.R)) RGB.R = 0.0;
+ if (signbit(RGB.G)) RGB.G = 0.0;
+ if (signbit(RGB.B)) RGB.B = 0.0;
+
+ fprintf(f,"%.1f,%.6f,%.6f,%.6f\n",
+ nm, RGB.R, RGB.G, RGB.B);
+
+ if (xy.x > redxy.x)
+ break;
+ }
+}
+
+/*
+ * Generate CSV tables
+ */
+int main(void)
+{
+ FILE *f = fopen("thermal.csv", "w");
+ thermal_table(f);
+ fclose(f);
+
+ f = fopen("spectral.csv","w");
+ spectral_table(f);
+ fclose(f);
+
+ return 0;
+}
diff --git a/rgbxyz.c b/rgbxyz.c
new file mode 100644
index 0000000..af8bdc9
--- /dev/null
+++ b/rgbxyz.c
@@ -0,0 +1,60 @@
+/*
+ * Matrixes for conversion between CIE XYZ values to WS2182B RGB,
+ * with values normalized so that Y = 1.0 and R = G = B = 255.0
+ * represent the maximum possible values.
+ */
+
+#include "color.h"
+
+/*
+ * This is the inverse of the RGB-to-XYZ matrix
+ */
+struct RGB const_func XYZ_to_RGB(struct cie_XYZ XYZ)
+{
+ struct RGB RGB;
+
+ RGB.R = ( 3.96394821253806e+02) * XYZ.X +
+ (-7.43756319424205e+01) * XYZ.Y +
+ (-5.39829972623372e+01) * XYZ.Z;
+
+ RGB.G = (-2.33573501299311e+02) * XYZ.X +
+ ( 5.20567953949116e+02) * XYZ.Y +
+ (-2.29114388822662e+01) * XYZ.Z;
+
+ RGB.B = ( 3.29375415122602e+00) * XYZ.X +
+ (-7.34082783268273e+00) * XYZ.Y +
+ ( 1.98273719579001e+02) * XYZ.Z;
+
+ return RGB;
+}
+
+/*
+ * These are the values from the XYZ table at the RGB primaries from the
+ * data sheet, normalized by their brightness (both taken from the
+ * center points of the data sheet):
+ *
+ * R = 622.5 nm @ 405 mcd
+ * G = 523.5 nm @ 690 mcd
+ * B = 466.0 nm @ 190 mcd
+ * Total: 1285 mcd
+ *
+ * Normalized values are thus given by:
+ * <value> = <table value> * <brightness>/1285 mcd / <table Y>
+ */
+struct cie_XYZ const_func RGB_to_XYZ(struct RGB RGB)
+{
+ struct cie_XYZ XYZ;
+
+ XYZ.X = ( 2.75464459312007e-03) * RGB.R +
+ ( 4.04802838039216e-04) * RGB.G +
+ ( 7.96770178823529e-04) * RGB.B;
+
+ XYZ.Y = ( 1.23598077372549e-03) * RGB.R +
+ ( 2.10574502156863e-03) * RGB.G +
+ ( 5.79842832156863e-04) * RGB.B;
+
+ XYZ.Z = ( 7.12378356862745e-05) * RGB.G +
+ ( 5.05176461843137e-03) * RGB.B;
+
+ return XYZ;
+}
diff --git a/rgbxyz.mat b/rgbxyz.mat
new file mode 100644
index 0000000..e5e6235
--- /dev/null
+++ b/rgbxyz.mat
@@ -0,0 +1,20 @@
+# Octave/Matlab script for computing the RGB <-> XYZ matrices
+
+# Values from CIE table @ 622.5 nm, 523.5 nm, 466.0 nm
+rgbxyz = transpose([[8.134280E-01,3.649768E-01,0.000000E+00],
+ [1.580186E-01,8.219974E-01,2.780836E-02],
+ [2.420135E-01,1.761233E-01,1.534439E+00]])
+
+# Scale to 405 mcd, 690 mcd, 190 mcd normalized to Y = 1 at
+# total = 1285 mcd
+rgbxyz(1:3,1) *= 405/(1285*255) / rgbxyz(2,1)
+rgbxyz(1:3,2) *= 690/(1285*255) / rgbxyz(2,2)
+rgbxyz(1:3,3) *= 190/(1285*255) / rgbxyz(2,3)
+
+xyzrgb = inverse(rgbxyz)
+
+format long e
+rgbxyz
+xyzrgb
+
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diff --git a/spectral.csv b/spectral.csv
new file mode 100644
index 0000000..fcac437
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diff --git a/srgb.mat b/srgb.mat
new file mode 100644
index 0000000..bccf587
--- /dev/null
+++ b/srgb.mat
@@ -0,0 +1,18 @@
+# The official primaries for sRGB
+rgbxyY = [[0.64 0.30 0.15],
+ [0.33, 0.60, 0.06],
+ [0.2126, 0.7152, 0.0722]]
+
+for i = 1:columns(rgbxyY)
+ Y_y = rgbxyY(3,i)/rgbxyY(2,i);
+ rgbXYZ(2,i) = rgbxyY(3,i)
+ rgbXYZ(1,i) = Y_y * rgbxyY(1,i)
+ rgbXYZ(3,i) = Y_y * (1 - sum(rgbxyY(1:2,i)))
+endfor
+
+XYZrgb = inverse(rgbXYZ)
+
+format long e
+rgbXYZ
+XYZrgb
+
diff --git a/thermal.csv b/thermal.csv
new file mode 100644
index 0000000..7cfe5bc
--- /dev/null
+++ b/thermal.csv
@@ -0,0 +1,15661 @@
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