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path: root/conversions.h
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/* See LICENSE file for copyright and license details. */

#define MATRIX(M11, M12, M13, M21, M22, M23, M31, M32, M33)\
	D(M11), D(M12), D(M13),\
	D(M21), D(M22), D(M23),\
	D(M31), D(M32), D(M33)



#define CIEXYZ_TO_RGB(TO_MINV)\
	(TO_MINV)[0][0], (TO_MINV)[0][1], (TO_MINV)[0][2],\
	(TO_MINV)[1][0], (TO_MINV)[1][1], (TO_MINV)[1][2],\
	(TO_MINV)[2][0], (TO_MINV)[2][1], (TO_MINV)[2][2]

#define CIEXYZ_TO_SRGB\
	MATRIX( 3.240446254647737500675930277794, -1.537134761820080575134284117667, -0.498530193022728718155178739835,\
	       -0.969266606244679751469561779231,  1.876011959788370209167851498933,  0.041556042214430065351304932619,\
	        0.055643503564352832235773149705, -0.204026179735960239147729566866,  1.057226567722703292062647051353)

#define YIQ_TO_SRGB\
	MATRIX(1.,  0.95629483232089407263032398986979387700557708740234,  0.62102512544472865396727456754888407886028289794922,\
	       1., -0.27212147408397735492968649850809015333652496337891, -0.64738095351761570928061928498209454119205474853516,\
	       1., -1.10698990856712820018969978264067322015762329101562,  1.70461497549882934343656870623817667365074157714844)
	/* ⎛1    1000 cos 33° / 877                                  1000 sin 33° / 877                               ⎞
	   ⎜1    9500 sin 33° / 24067 - 299000 * cos 33° / 514799    -9500 cos 33° / 24067 - 299000 * sin 33° / 514799⎟
	   ⎝1    -250 sin 33° / 123                                  250 cos 33° / 123                                ⎠
	*/

#define YDBDR_TO_SRGB\
	MATRIX(1.,  0.000092303716148, -0.525912630661865,\
	       1., -0.129132898890509,  0.267899328207599,\
	       1.,  0.664679059978955, -0.000079202543533)

#define YPBPR_TO_SRGB(FROM_Y, FROM_PB, FROM_PR, TO_R, TO_G, TO_B)\
	do {\
		TYPE y__ = (FROM_Y);\
		TYPE r__ = (FROM_PR) + y__;\
		TYPE b__ = (FROM_PB) + y__;\
		(TO_R) = r__;\
		(TO_B) = b__;\
		(TO_G) = (y__ - r__ * D(0.2126) - b__ * D(0.0722)) / D(0.7152);\
	} while (0)

#define YUV_TO_SRGB\
	MATRIX(1.,  0.00028328010485821202317155420580263580632163211703,  1.14070449590558520291949662350816652178764343261719,\
	       1., -0.39630886669497211727275498560629785060882568359375, -0.58107364288228224857846271333983168005943298339844,\
	       1.,  2.03990003507541306504435851820744574069976806640625,  0.00017179031692307700847528739718228507626918144524)

#define YCGCO_TO_SRGB\
	MATRIX(1., -1.,  1.,\
	       1.,  1.,  0.,\
	       1., -1., -1.)

#define CIEXYZ_TO_CIEXYY(FROM_X, FROM_Y, FROM_Z, TO_X, TO_Y, TO_YY)\
	do {\
		TYPE x__ = (FROM_X), y__ = (FROM_Y), z__ = (FROM_Z);\
		TYPE s__ = x__ + y__ + z__;\
		x__ = x__ / s__;\
		s__ = y__ / s__;\
		if (WASDIV0(x__) || WASDIV0(s__))\
			x__ = s__ = 0;\
		(TO_X) = x__;\
		(TO_Y) = s__;\
		(TO_YY) = y__;\
	} while (0)

#define RGB_TO_CIEXYZ(FROM_M)\
	(FROM_M)[0][0], (FROM_M)[0][1], (FROM_M)[0][2],\
	(FROM_M)[1][0], (FROM_M)[1][1], (FROM_M)[1][2],\
	(FROM_M)[2][0], (FROM_M)[2][1], (FROM_M)[2][2]

#define SRGB_TO_CIEXYZ\
	MATRIX(0.412457445582367576708548995157, 0.357575865245515878143578447634, 0.180437247826399665973085006954,\
	       0.212673370378408277403536885686, 0.715151730491031756287156895269, 0.072174899130559869164791564344,\
	       0.019333942761673460208893260415, 0.119191955081838593666354597644, 0.950302838552371742508739771438)

#define CIEXYY_TO_CIEXYZ(FROM_X, FROM_Y, FROM_YY, TO_X, TO_Y, TO_Z)\
	do {\
		TYPE x__ = (FROM_X), y__ = (FROM_Y), Y__ = (FROM_YY);\
		TYPE Yy__ = Y__ / y__;\
		if (WASDIV0(Yy__)) {\
			(TO_X) = (TO_Y) = (TO_Z) = Y__;\
		} else {\
			(TO_X) = x__ * Yy__;\
			(TO_Y) = Y__;\
			(TO_Z) = (1 - x__ - y__) * Yy__;\
		}\
	} while (0)

#define CIELAB_TO_CIEXYZ(FROM_L, FROM_A, FROM_B, TO_X, TO_Y, TO_Z)\
	do {\
		TYPE Y__ = ((FROM_L) + 16) / 116;\
		TYPE X__ = Y__ + (FROM_A) / 500;\
		TYPE Z__ = Y__ - (FROM_B) / 200;\
		(TO_X) = cielab_finv(X__) * D(0.95047);\
		(TO_Y) = cielab_finv(Y__);\
		(TO_Z) = cielab_finv(Z__) * D(1.08883);\
	} while (0)

#define CIELUV_TO_CIEXYZ(FROM_L, FROM_U, FROM_V, TO_X, TO_Y, TO_Z, FROM_WHITE_X, FROM_WHITE_Y, FROM_WHITE_Z)\
	do {\
		TYPE L__ = (FROM_L), X__ = (FROM_WHITE_X), Y__ = (FROM_WHITE_Y), Z__ = (FROM_WHITE_Z);\
		TYPE L13__ = L__ * 13;\
		TYPE t__ = X__ + 15 * Y__ + 3 * Z__;\
		TYPE u__ = (FROM_U) / L13__ + 4 * X__ / t__;\
		TYPE v__ = (FROM_V) / L13__ + 9 * Y__ / t__;\
		if (L__ <= 8) {\
			Y__ *= L__ * 27 / 24389;\
		} else {\
			L__ = (L__ + 16) / 116;\
			Y__ *= L__ * L__ * L__;\
		}\
		(TO_X) = D(2.25) * Y__ * u__ / v__;\
		(TO_Y) = Y__;\
		(TO_Z) = Y__ * (3 / v__ - D(0.75) * u__ / v__ - 5);\
	} while (0)

#define YIQ_TO_CIEXYZ\
	MATRIX( 0.95047055865428309306963683411595411598682403564453,\
	        0.09738463974178063198294807989441324025392532348633,\
	        0.33223466706854809515903070860076695680618286132812,\
	        0.99999999999999988897769753748434595763683319091797,\
	       -0.07112658301916767455974621725545148365199565887451,\
	       -0.20786968876398304040264974901219829916954040527344,\
	        1.08882873639588373393394249433185905218124389648438,\
	       -1.06592139332461721679123911599162966012954711914062,\
	        1.55474471255181900808395312196807935833930969238281)

#define YDBDR_TO_CIEXYZ\
	MATRIX( 0.95047055865428309306963683411595411598682403564453,\
	        0.07379612357298576119646327242662664502859115600586,\
	       -0.12113653724874726136384595065464964136481285095215,\
	        0.99999999999999988897769753748434595763683319091797,\
	       -0.04435684145428285540813106990754022262990474700928,\
	        0.07973534004202506575431641522300196811556816101074,\
	        1.08882873639588373393394249433185905218124389648438,\
	        0.61625657933494271123464613992837257683277130126953,\
	        0.02168821359337728266192257819966471288353204727173)

#define YUV_TO_CIEXYZ\
	MATRIX( 0.95047055865428309306963683411595411598682403564453,\
	        0.22648030324549334180161963558930438011884689331055,\
	        0.26274514929253273143316960158699657768011093139648,\
	        0.99999999999999988897769753748434595763683319091797,\
	       -0.13613114642319409930415474718756740912795066833496,\
	       -0.17294595255115238763288232348713790997862815856934,\
	        1.08882873639588373393394249433185905218124389648438,\
	        1.89129144197893928058817891724174842238426208496094,\
	       -0.04704173528403532422714761196402832865715026855469)

#define YPBPR_TO_CIEXYZ\
	MATRIX( 0.95047055865428298204733437160030007362365722656250,\
	        0.14433968424876231217979238863335922360420227050781,\
	        0.30616461986760712399302519770571961998939514160156,\
	        0.99999999999999977795539507496869191527366638183594,\
	       -0.00002022802471486617736928792510298080742359161377,\
	        0.00008771894888734421691367515450110659003257751465,\
	        1.08882873639588373393394249433185905218124389648438,\
	        0.93827031735982591165168287261622026562690734863281,\
	       -0.01609699914324668607035206946420657914131879806519)

#define YCGCO_TO_CIEXYZ\
	MATRIX( 0.95047055865428309306963683411595411598682403564453,\
	       -0.23531882816325136453805555447615915909409523010254,\
	        0.23202019775596791073546398820326430723071098327637,\
	        0.99999999999999988897769753748434595763683319091797,\
	        0.43030346098206362359661625305307097733020782470703,\
	        0.14049847124784842211653312915586866438388824462891,\
	        1.08882873639588373393394249433185905218124389648438,\
	       -0.85044482623220662986796014592982828617095947265625,\
	       -0.93096889579069830311652822274481877684593200683594)

#define CIE1960UCS_TO_CIEXYZ(FROM_U, FROM_V, FROM_Y, TO_X, TO_Y, TO_Z)\
	do {\
		TYPE u__ = (FROM_U), v__ = (FROM_V), Y__ = (FROM_Y);\
		(TO_X) = D(1.5) * Y__ * u__ / v__;\
		(TO_Y) = Y__;\
		(TO_Z) = (4 * Y__ - Y__ * u__ - 10 * Y__ * v__) / (2 * v__);\
	} while (0)

#define CIEXYZ_TO_CIELAB(FROM_X, FROM_Y, FROM_Z, TO_L, TO_A, TO_B)\
	do {\
		TYPE X__ = (FROM_X), Y__ = (FROM_Y), Z__ = (FROM_Z);\
		X__ /= D(0.95047);\
		Z__ /= D(1.08883);\
		Y__ = cielab_f(Y__);\
		(TO_L) = 116 * Y__ - 16;\
		(TO_A) = 500 * (cielab_f(X__) - Y__);\
		(TO_B) = 200 * (Y__ - cielab_f(Z__));\
	} while (0)

#define CIEXYZ_TO_CIELUV(FROM_X, FROM_Y, FROM_Z, TO_L, TO_U, TO_V, TO_WHITE_X, TO_WHITE_Y, TO_WHITE_Z)\
	do {\
		TYPE WX__ = (TO_WHITE_X), WY__ = (TO_WHITE_Y), WZ__ = (TO_WHITE_Z);\
		TYPE X__ = (FROM_X), Y__ = (FROM_Y), Z__ = (FROM_Z);\
		TYPE L2__, L__, u__, v__, t__;\
		t__ = WX__ + 15 * WY__ + 3 * WZ__;\
		u__ = 4 * WX__ / t__;\
		v__ = 9 * WY__ / t__;\
		t__ = X__ + 15 * Y__ + 3 * Z__;\
		u__ = 4 * X__ / t__ - u__;\
		v__ = 9 * Y__ / t__ - v__;\
		L__ = Y__ / WY__;\
		L2__ = L__ * 24389;\
		L__ = L2__ <= 216 ? L2__ / 27 : xcbrt(L__) * 116 - 16;\
		(TO_L) = L__;\
		L__ *= 13;\
		(TO_U) = u__ * L__;\
		(TO_V) = v__ * L__;\
	} while (0)

#define CIELCHUV_TO_CIELUV(FROM_L, FROM_C, FROM_H, TO_L, TO_U, TO_V)\
	do {\
		TYPE C__ = (FROM_C), h__ = (FROM_H);\
		(TO_L) = (FROM_L);\
		(TO_U) = C__ * xcos(h__);\
		(TO_V) = C__ * xsin(h__);\
	} while (0)

#define CIELUV_TO_CIELCHUV(FROM_L, FROM_U, FROM_V, TO_L, TO_C, TO_H, TO_ONE_REVOLUTION)\
	do {\
		TYPE u__ = (FROM_U), v__ = (FROM_V), rev__ = (TO_ONE_REVOLUTION), h__;\
		(TO_L) = (FROM_L);\
		(TO_C) = xsqrt(u__ * u__ + v__ * v__);\
		h__ = xatan2(v__, u__) / PI2 * rev__;\
		if (!WASDIV0(h__) && (h__ < 0))\
			h__ += rev__;\
		(TO_H) = h__;\
	} while (0)

#define SRGB_TO_YIQ\
	MATRIX( 0.299, 0.587, 0.114,\
	        0.59571613491277464191853141528554260730743408203125, /* (0.877 cos 33°)(1 - 0.299) - (0.492 sin 33°)(-0.299) */\
	       -0.27445283783925644716106262421817518770694732666016, /* (0.877 cos 33°)(-0.587)    - (0.492 sin 33°)(-0.587) */\
	       -0.32126329707351808373516632855171337723731994628906, /* (0.877 cos 33°)(-0.114)    - (0.492 sin 33°)(1 - 0.114) */\
	        0.21145640212011795888713550084503367543220520019531, /* (0.877 sin 33°)(1 - 0.299) + (0.492 cos 33°)(-0.299) */\
	       -0.52259104529161115593183239980135113000869750976562, /* (0.877 sin 33°)(-0.587)    + (0.492 cos 33°)(-0.587) */\
	        0.31113464317149330806699936147197149693965911865234) /* (0.877 sin 33°)(-0.114)    + (0.492 cos 33°)(1 - 0.114) */

#define CIEXYZ_TO_YIQ\
	MATRIX( 0.40627729168038273499519164033699780702590942382812,\
	        0.61835674212166968910509012857801280915737152099609,\
	       -0.00414330221353725880462093300593551248311996459961,\
	        2.17852787350219845308174626552499830722808837890625,\
	       -1.36502666214454104753883711964590474963188171386719,\
	       -0.64803574634025240541745915834326297044754028320312,\
	        1.20905577682138853923277110880007967352867126464844,\
	       -1.36890364998339797431015085749095305800437927246094,\
	        0.20180559439597040016778350945969577878713607788086)

#define SRGB_TO_YDBDR\
	MATRIX( 0.299,  0.587, 0.114,\
	       -0.450, -0.883, 1.333,\
	       -1.333,  1.116, 0.217)

#define YUV_TO_YDBDR(FROM_Y, FROM_U, FROM_V, TO_Y, TO_DB, TO_DR)\
	do {\
		TYPE U__ = (FROM_U), V__ = (FROM_V);\
		(TO_Y)  = (FROM_Y);\
		(TO_DB) = U__ *  D(3.069);\
		(TO_DR) = V__ * D(-2.169);\
	} while (0)

#define CIEXYZ_TO_YDBDR\
	MATRIX( 0.40627729168038273499519164033699780702590942382812,\
	        0.61835674212166968910509012857801280915737152099609,\
	       -0.00414330221353725880462093300593551248311996459961,\
	       -0.52816561102614745237815441214479506015777587890625,\
	       -1.23677481526212962315014465275453403592109680175781,\
	        1.59692761635924940222253098909277468919754028320312,\
	       -5.38914174974103143966885909321717917919158935546875,\
	        4.09835630362728497999569299281574785709381103515625,\
	        0.94033545560642795013706063400604762136936187744141)

#define YDBDR_TO_YUV(FROM_Y, FROM_DB, FROM_DR, TO_Y, TO_U, TO_V)\
	do {\
		TYPE DB__ = (FROM_DB), DR__ = (FROM_DR);\
		(TO_Y) = (FROM_Y);\
		(TO_U) = DB__ /  D(3.069);\
		(TO_V) = DR__ / D(-2.169);\
	} while (0)

#define SRGB_TO_YUV\
	MATRIX( 0.29899999999999998800959133404830936342477798461914,\
	        0.58699999999999996624922005139524117112159729003906,\
	        0.11400000000000000410782519111307919956743717193604,\
	       -0.14662756598240470062854967636667424812912940979004,\
	       -0.28771586836102963635752871596196200698614120483398,\
	        0.43434343434343436474165400795754976570606231689453,\
	        0.61456892577224520035628074765554629266262054443359,\
	       -0.51452282157676354490405401520547457039356231689453,\
	       -0.10004610419548178035231700278018251992762088775635)

#define CIEXYZ_TO_YUV\
	MATRIX( 0.40627729168038273499519164033699780702590942382812,\
	        0.61835674212166968910509012857801280915737152099609,\
	       -0.00414330221353725880462093300593551248311996459961,\
	       -0.17209697328971895746718701047939248383045196533203,\
	       -0.40298951295605395239718404809536878019571304321289,\
	        0.52034135430408912093014350830344483256340026855469,\
	        2.48462044709130047692724474472925066947937011718750,\
	       -1.88951420176453876997868519538315013051033020019531,\
	       -0.43353409663735725798616726933687459677457809448242)

#define SRGB_TO_YPBPR(FROM_R, FROM_G, FROM_B, TO_Y, TO_PB, TO_PR)\
	do {\
		TYPE R__ = (FROM_R), G__ = (FROM_G), B__ = (FROM_B);\
		TYPE Y__ = R__ * D(0.2126) +\
		           G__ * D(0.7152) +\
		           B__ * D(0.0722);\
		(TO_Y)  = Y__;\
		(TO_PB) = B__ - Y__;\
		(TO_PR) = R__ - Y__;\
	 } while (0)

#define CIEXYZ_TO_YPBPR\
	MATRIX(-0.00028314209073960778378920011277841695118695497513,\
	        1.00019821310075673892470149439759552478790283203125,\
	        0.00006512054470741990286342115723527967929840087891,\
	        0.05592664565509243568275365987574332393705844879150,\
	       -1.20422439283671711685030913940863683819770812988281,\
	        1.05716144717799576113748116767965257167816162109375,\
	        3.24072939673847715269516811531502753496170043945312,\
	       -2.53733297492083753610359053709544241428375244140625,\
	       -0.49859531356743613805804216099204495549201965332031)

#define SRGB_TO_YCGCO\
	MATRIX( 0.25, 0.50,  0.25,\
	       -0.25, 0.50, -0.25,\
	        0.50, 0.,   -0.50)

#define CIEXYZ_TO_YCGCO\
	MATRIX( 0.33938913643068269188063368346774950623512268066406,\
	        0.50271574450517486631895280879689380526542663574219,\
	        0.16045211478220866574417868832824751734733581542969,\
	       -1.30865574267536244335019546269904822111129760742188,\
	        1.37329621528319534284889869013568386435508728027344,\
	       -0.11889607256777862120955546743061859160661697387695,\
	        1.59240137554169236544510113162687048316001892089844,\
	       -0.66655429104206020962664069884340278804302215576172,\
	       -0.77787838037271606062006412685150280594825744628906)

#define CIEUVW_TO_CIE1960UCS(FROM_U, FROM_V, FROM_W, TO_U, TO_V, TO_Y, FROM_U0, FROM_V0)\
	do {\
		TYPE U__ = (FROM_U), V__ = (FROM_V), W__ = (FROM_W), Y__;\
		Y__ = (W__ + 17) / 25;\
		Y__ *= Y__ * Y__;\
		W__ *= 13;\
		(TO_U) = U__ / W__ + (FROM_U0);\
		(TO_V) = V__ / W__ + (FROM_V0);\
		(TO_Y) = Y__;\
	} while (0)

#define CIEXYZ_TO_CIE1960UCS(FROM_X, FROM_Y, FROM_Z, TO_U, TO_V, TO_Y)\
	do {\
		TYPE X__ = (FROM_X), Y__ = (FROM_Y), w__;\
		w__ = X__ + 15 * Y__ + 3 * (FROM_Z);\
		(TO_U) = 4 * X__ / w__;\
		(TO_V) = 6 * Y__ / w__;\
		(TO_Y) = Y__;\
	} while (0)

#define CIEUVW_TO_CIEUVW(FROM_U, FROM_V, FROM_W, TO_U, TO_V, TO_W, FROM_U0, FROM_V0, TO_U0, TO_V0)\
	do {\
		TYPE U__ = (FROM_U), V__ = (FROM_V), W__ = (FROM_W);\
		TYPE w__ = W__ * 13;\
		U__ += w__ * ((FROM_U0) - (TO_U0));\
		V__ += w__ * ((FROM_V0) - (TO_V0));\
		(TO_U) = U__;\
		(TO_V) = V__;\
		(TO_W) = W__;\
	} while (0)

#define CIE1960UCS_TO_CIEUVW(FROM_U, FROM_V, FROM_Y, TO_U, TO_V, TO_W, TO_U0, TO_V0)\
	do {\
		TYPE U__ = (FROM_U), V__ = (FROM_V), u0__ = (TO_U0), v0__ = (TO_V0);\
		TYPE Y__ = 25 * xcbrt((FROM_Y)) - 17;\
		TYPE w__ = Y__ * 13;\
		(TO_U) = w__ * (U__ - u0__);\
		(TO_V) = w__ * (V__ - v0__);\
		(TO_W) = Y__;\
	} while (0)