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float	ycbcrCoeffs[3] = { .299, .587, .114 };
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/* default coding range is CCIR Rec 601-1 with no headroom/footroom */
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unsigned long refBlackWhite[6] = { 0, 255, 128, 255, 128, 255 };
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#define	LumaRed		ycbcrCoeffs[0]
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#define	LumaGreen	ycbcrCoeffs[1]
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#define	LumaBlue	ycbcrCoeffs[2]
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long	eRtotal = 0;
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long	eGtotal = 0;
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long	eBtotal = 0;
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long	preveRtotal = 0;
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long	preveGtotal = 0;
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long	preveBtotal = 0;
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unsigned long AbseRtotal = 0;
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unsigned long AbseGtotal = 0;
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unsigned long AbseBtotal = 0;
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unsigned long eCodes = 0;
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unsigned long preveCodes = 0;
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unsigned long eBits = 0;
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unsigned long preveBits = 0;
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static	void setupLumaTables();
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static int abs(int v) { return (v < 0 ? -v : v); }
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static double pct(int v,double range) { return (v*100. / range); }
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static void check(int R, int G, int B);
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float	D1, D2;
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float	D3, D4;
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float	D5, D6;
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int
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main(int argc, char** argv)
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{
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    int R, G, B;
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    if (argc > 1) {
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	refBlackWhite[0] = 16;
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	refBlackWhite[1] = 235;
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	refBlackWhite[2] = 128;
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	refBlackWhite[3] = 240;
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	refBlackWhite[4] = 128;
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	refBlackWhite[5] = 240;
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    }
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    D3 = 2 - 2*LumaRed;
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    D4 = 2 - 2*LumaBlue;
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    D1 = 1. / D3;
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    D2 = 1. / D4;
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    D5 = D3*LumaRed / LumaGreen;
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    D6 = D4*LumaBlue / LumaGreen;
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    setupLumaTables();
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    for (R = 0; R < 256; R++) {
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	for (G = 0; G < 256; G++)
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	    for (B = 0; B < 256; B++)
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		check(R, G, B);
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	printf("[%3u] c %u/%u b %u/%u (R %u/%d/%u G %u/%d/%u B %u/%d/%u)\n"
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	    , R
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	    , eCodes - preveCodes, eCodes
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	    , eBits - preveBits, eBits
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	    , abs(AbseRtotal - preveRtotal), eRtotal , AbseRtotal
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	    , abs(AbseGtotal - preveGtotal), eGtotal , AbseGtotal
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	    , abs(AbseBtotal - preveBtotal), eBtotal , AbseBtotal
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	);
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	preveRtotal = AbseRtotal;
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	preveGtotal = AbseGtotal;
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	preveBtotal = AbseBtotal;
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	preveCodes = eCodes;
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	preveBits = eBits;
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    }
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    printf("%u total codes\n", 256*256*256);
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    printf("total error: %u codes %u bits (R %d/%u G %d/%u B %d/%u)\n"
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	, eCodes
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	, eBits
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	, eRtotal , AbseRtotal
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	, eGtotal , AbseGtotal
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	, eBtotal , AbseBtotal
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    );
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    return (0);
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}
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float	*lumaRed;
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float	*lumaGreen;
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float	*lumaBlue;
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static float*
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setupLuma(float c)
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{
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    float *v = (float *)_TIFFmalloc(256 * sizeof (float));
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    int i;
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    for (i = 0; i < 256; i++)
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	v[i] = c * i;
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    return (v);
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}
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static void
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setupLumaTables(void)
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{
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    lumaRed = setupLuma(LumaRed);
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    lumaGreen = setupLuma(LumaGreen);
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    lumaBlue = setupLuma(LumaBlue);
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}
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static unsigned
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V2Code(float f, unsigned long RB, unsigned long RW, int CR)
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{
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    unsigned int c = (unsigned int)((((f)*(RW-RB)/CR)+RB)+.5);
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    return (c > 255 ? 255 : c);
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}
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#define	Code2V(c, RB, RW, CR)	((((c)-(int)RB)*(float)CR)/(float)(RW-RB))
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#define	CLAMP(f,min,max) \
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    (int)((f)+.5 < (min) ? (min) : (f)+.5 > (max) ? (max) : (f)+.5)
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static
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void
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check(int R, int G, int B)
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{
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    float Y, Cb, Cr;
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    int iY, iCb, iCr;
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    float rY, rCb, rCr;
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    float rR, rG, rB;
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    int eR, eG, eB;
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    Y = lumaRed[R] + lumaGreen[G] + lumaBlue[B];
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    Cb = (B - Y)*D2;
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    Cr = (R - Y)*D1;
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    iY = V2Code(Y, refBlackWhite[0], refBlackWhite[1], 255);
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    iCb = V2Code(Cb, refBlackWhite[2], refBlackWhite[3], 127);
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    iCr = V2Code(Cr, refBlackWhite[4], refBlackWhite[5], 127);
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    rCb = Code2V(iCb, refBlackWhite[2], refBlackWhite[3], 127);
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    rCr = Code2V(iCr, refBlackWhite[4], refBlackWhite[5], 127);
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    rY = Code2V(iY, refBlackWhite[0], refBlackWhite[1], 255);
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    rR = rY + rCr*D3;
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    rB = rY + rCb*D4;
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    rG = rY - rCb*D6 - rCr*D5;
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    eR = R - CLAMP(rR,0,255);
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    eG = G - CLAMP(rG,0,255);
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    eB = B - CLAMP(rB,0,255);
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    if (abs(eR) > 1 || abs(eG) > 1 || abs(eB) > 1) {
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	printf("R %u G %u B %u", R, G, B);
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	printf(" Y %g Cb %g Cr %g", Y, Cb, Cr);
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	printf(" iY %u iCb %u iCr %u", iY, iCb, iCr);
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	printf("\n -> Y %g Cb %g Cr %g", rY, rCb, rCr);
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	printf(" R %g (%u) G %g (%u) B %g (%u) E=[%d %d %d])\n"
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	    , rR, CLAMP(rR,0,255)
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	    , rG, CLAMP(rG,0,255)
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	    , rB, CLAMP(rB,0,255)
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	    , eR, eG, eB
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	);
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    }
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    eRtotal += eR;
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    eGtotal += eG;
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    eBtotal += eB;
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    AbseRtotal += abs(eR);
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    AbseGtotal += abs(eG);
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    AbseBtotal += abs(eB);
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    if (eR | eG | eB)
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	eCodes++;
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    eBits += abs(eR) + abs(eG) + abs(eB);
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}
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/*
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 * Local Variables:
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 * mode: c
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 * c-basic-offset: 8
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 * fill-column: 78
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 * End:
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 */