path: root/Alc/hrtf_tables.inc

/* This data is Copyright 1994 by the MIT Media Laboratory. It is provided free
 * with no restrictions on use, provided the authors are cited when the data is
 * used in any research or commercial application. */
/* Bill Gardner <billg@media.mit.edu> and Keith Martin <kdm@media.mit.edu> */

    /* HRIR Coefficients */
    {
        { +5817, +7833, +3253, +2795, +1080, +403, +948, -690, -2207, -1110, +658, -33, -481, -949, -839, -287, -146, -103, +7, -47, -269, -105, -316, -221, -304, -497, -373, -231, -114, -14, +66, -62, },
        { +6586, +8107, +2781, +3167, +1095, +99, +922, -641, -2255, -1457, +602, +170, -469, -781, -818, -773, -258, +8, -111, -125, -368, -216, -345, -265, -298, -447, -408, -158, -22, +0, +63, -96, },
        { +5986, +7570, +2713, +2756, +1080, +403, +921, -758, -2112, -1067, +565, -93, -431, -738, -604, -361, -238, +10, +63, -88, -302, -101, -306, -243, -358, -488, -341, -224, -98, -1, +79, -55, },
        { +5571, +7005, +2499, +2549, +974, +438, +959, -688, -1966, -793, +755, -35, -305, -631, -545, -165, -118, -72, +26, -36, -228, -36, -253, -158, -261, -436, -311, -197, -85, +11, +82, -47, },
        { +5472, +6865, +2460, +2524, +978, +492, +1057, -561, -1857, -706, +813, -3, -353, -739, -587, -120, -98, -94, +21, -32, -228, -31, -232, -119, -204, -399, -293, -197, -124, -45, +34, -81, },
        { +5627, +7081, +2487, +2449, +858, +396, +981, -676, -2051, -899, +820, +82, -332, -774, -643, -127, -26, -14, +72, +27, -183, -16, -234, -142, -240, -422, -289, -151, -36, +63, +108, -65, },
        { +6172, +7677, +2541, +2564, +874, +397, +966, -927, -2421, -1117, +905, +38, -545, -990, -785, -200, -66, -60, +50, +17, -244, -35, -244, -146, -246, -433, -290, -139, -42, +40, +108, -37, },
        { +6521, +8320, +2827, +2690, +909, +230, +917, -1084, -2525, -1115, +652, -122, -480, -974, -823, -289, -150, +21, +73, -58, -296, -90, -299, -198, -317, -480, -327, -206, -64, +25, +103, -47, },
        { +6956, +8505, +2738, +3040, +1131, +209, +719, -1389, -2419, -516, +530, -857, -697, -801, -443, -77, -328, -117, +128, -70, -281, -49, -356, -233, -419, -579, -344, -271, -169, -16, +76, -98, },
        { +7928, +9215, +2040, +2470, +595, +264, +1348, -1308, -2698, -258, +1302, -836, -1179, -1210, -483, +125, -403, -370, +81, -61, -416, -45, -378, -208, -426, -708, -383, -223, -150, -20, +82, -119, },
        { +8205, +9593, +2241, +2306, +197, +241, +1480, -1080, -3081, -704, +1757, -153, -1144, -1906, -912, +311, -4, -441, -129, -99, -476, -104, -467, -207, -379, -660, -412, -194, -106, -31, +48, -172, },
        { +7822, +9388, +3008, +2690, +349, +155, +1066, -976, -3351, -1396, +1366, +202, -165, -1794, -1686, +63, +209, -110, -81, -164, -375, -114, -487, -174, -394, -771, -456, -312, -109, +27, +100, -71, },
        { +7342, +9001, +2833, +2968, +859, +118, +830, -1009, -2609, -1583, +1030, +177, -566, -888, -1564, -882, +55, +78, +62, +48, -275, -224, -531, -354, -242, -534, -487, -241, -107, +31, +92, -76, },
        { +7420, +8277, +2251, +3723, +1049, -308, +945, -518, -2311, -1945, +592, +496, -502, -565, -848, -1420, -265, +189, -293, -192, -468, -339, -342, -319, -275, -379, -474, -58, +77, -10, +55, -134, },
        { +6584, +7746, +2495, +3374, +1000, -52, +897, -756, -2030, -1406, +280, +34, -398, -477, -456, -856, -571, +107, +104, -158, -435, -199, -286, -253, -345, -425, -316, -178, -107, -66, +74, -62, },
        { +6049, +7215, +2251, +2809, +1129, +395, +858, -790, -1953, -1091, +399, -101, -343, -474, -371, -537, -334, +183, +103, -155, -328, -94, -287, -281, -418, -457, -307, -226, -82, +10, +91, -45, },
        { +5611, +6654, +2026, +2614, +1122, +421, +846, -730, -1795, -787, +486, -181, -199, -331, -331, -290, -184, +57, +64, -94, -264, -59, -241, -160, -276, -381, -321, -242, -63, +33, +98, -44, },
        { +5099, +6036, +1921, +2401, +945, +508, +937, -640, -1638, -506, +755, -23, -74, -266, -268, -108, -114, -39, +41, -26, -172, +33, -185, -102, -220, -366, -254, -174, -58, +33, +94, -28, },
        { +4863, +5622, +1644, +2154, +818, +547, +1098, -307, -1280, -210, +982, +96, -111, -376, -319, -58, -43, -22, +51, -10, -188, -3, -174, -47, -165, -316, -201, -114, -14, +20, +16, -134, },
        { +4874, +5742, +1871, +2357, +961, +630, +1147, -376, -1424, -337, +863, +34, -193, -499, -332, +8, -81, -97, +36, -13, -175, +46, -137, -17, -102, -297, -226, -178, -147, -83, +1, -91, },
        { +4960, +5827, +1797, +2194, +842, +622, +1162, -376, -1492, -421, +910, +56, -246, -568, -430, +32, +120, +83, +106, +18, -182, -19, -208, -85, -152, -240, -94, -64, -84, -82, -30, -123, },
        { +5228, +6194, +1872, +2175, +707, +445, +1001, -617, -1837, -723, +933, +227, -167, -586, -451, +10, +86, +68, +127, +106, -88, +66, -146, -70, -175, -339, -208, -74, +41, +139, +139, -76, },
        { +5697, +6722, +1953, +2283, +727, +469, +969, -882, -2258, -1037, +972, +175, -413, -806, -593, -28, +130, +87, +177, +163, -115, +43, -180, -84, -142, -297, -156, -24, +4, +49, +85, -29, },
        { +6473, +7408, +1826, +2417, +711, +442, +966, -1188, -2613, -1118, +1193, +107, -644, -1020, -716, -117, +16, -26, +92, +89, -223, +39, -164, -76, -190, -362, -208, -46, +24, +86, +145, -12, },
        { +7101, +8208, +1841, +2445, +711, +357, +985, -1505, -2879, -1121, +1181, +70, -658, -1173, -814, -168, -29, +29, +47, +36, -265, -40, -293, -166, -283, -429, -229, -63, +43, +81, +160, -20, },
        { +7271, +8783, +2298, +2617, +755, +48, +900, -1532, -2806, -1083, +615, -189, -449, -1001, -807, -311, -150, +184, +122, -88, -322, -71, -273, -179, -335, -451, -278, -188, -9, +60, +138, -32, },
        { +7519, +8972, +2519, +3099, +1077, -70, +527, -1818, -2665, -568, +208, -889, -424, -657, -398, -291, -483, +67, +222, -56, -219, -19, -307, -204, -436, -529, -306, -304, -126, +27, +128, -48, },
        { +8267, +9086, +2039, +3441, +1167, -66, +449, -2175, -2478, +261, +170, -1844, -741, -537, +19, +68, -620, -86, +289, -131, -285, +19, -414, -244, -560, -647, -289, -330, -230, -5, +89, -141, },
        { +9334, +10020, +1039, +2681, +800, -36, +1253, -2153, -2906, +675, +921, -2082, -1336, -748, +118, +362, -708, -352, +305, -89, -430, +16, -461, -267, -609, -817, -292, -288, -287, -70, +134, -107, },
        { +10490, +10443, +234, +2319, +106, +215, +1880, -2162, -3146, +928, +1870, -2011, -1861, -1339, +44, +548, -846, -647, +252, -93, -597, +65, -464, -180, -581, -943, -344, -209, -200, -20, +104, -191, },
        { +11090, +10859, +176, +1929, -492, +415, +2257, -1899, -3660, +617, +2693, -1436, -2083, -2245, -339, +944, -576, -854, +49, -173, -603, +64, -607, -194, -525, -910, -310, -113, -162, +10, +55, -268, },
        { +11123, +11231, +589, +1885, -762, +272, +2193, -1677, -4087, +10, +3036, -569, -1972, -2950, -747, +1099, +20, -922, -216, -122, -721, -53, -651, -153, -474, -845, -423, -135, -107, -57, +30, -304, },
        { +10803, +11222, +1474, +2265, -883, +91, +1845, -1667, -4470, -728, +2793, +190, -972, -3366, -1480, +1091, +471, -617, -486, -175, -639, -113, -591, -51, -507, -934, -502, -309, -106, -118, +53, -177, },
        { +10246, +10868, +2402, +2554, -531, +31, +1268, -1323, -4728, -1500, +2335, +359, +174, -2966, -2559, +743, +585, -219, -198, -287, -474, -103, -696, -72, -517, -1094, -493, -391, -81, +78, +133, -87, },
        { +9638, +10459, +2554, +3136, -109, -170, +1213, -1306, -4339, -2094, +2099, +264, +202, -1798, -3312, -170, +781, +126, +63, -260, -424, +20, -759, -504, -338, -983, -510, -236, -85, +153, +125, -96, },
        { +9150, +10114, +2114, +3243, +563, -199, +731, -1335, -3018, -2131, +1610, +397, -733, -785, -2524, -1463, +491, +266, +80, +156, -304, -383, -768, -471, -118, -592, -631, -225, -95, +87, +113, -96, },
        { +8454, +9243, +2047, +3497, +881, -249, +701, -1042, -2617, -2062, +1294, +712, -942, -676, -1397, -1797, -57, +250, -231, -14, -250, -237, -521, -454, -179, -387, -649, -192, -30, +13, +161, -121, },
        { +8323, +8323, +1685, +4494, +893, -823, +1049, -315, -2397, -2598, +672, +957, -622, -284, -950, -2240, -109, +425, -567, -229, -570, -475, -300, -391, -228, -295, -579, +83, +176, -48, +44, -175, },
        { +7274, +7900, +2262, +4107, +785, -714, +918, -662, -1986, -1894, +51, +378, -372, -108, -420, -1664, -750, +303, +73, -176, -577, -344, -248, -256, -255, -331, -406, -129, -13, -101, +50, -88, },
        { +6560, +7256, +2146, +3528, +960, -9, +858, -751, -1783, -1572, +54, +101, -313, -181, -229, -1133, -648, +400, +128, -265, -444, -160, -232, -331, -449, -399, -265, -206, -153, -62, +116, -28, },
        { +5980, +6790, +1905, +2935, +1217, +364, +757, -764, -1730, -1213, +165, -24, -228, -158, -154, -831, -410, +428, +110, -247, -340, -86, -256, -338, -480, -399, -278, -238, -61, +18, +103, -30, },
        { +5480, +6206, +1692, +2736, +1300, +391, +709, -692, -1565, -861, +226, -147, -68, -24, -127, -550, -217, +281, +49, -181, -257, -43, -247, -249, -345, -298, -274, -270, -50, +56, +119, -43, },
        { +4953, +5620, +1632, +2478, +1119, +519, +800, -639, -1430, -598, +380, -73, +141, +70, -109, -295, -151, +126, +65, -105, -195, +54, -97, -104, -271, -314, -265, -208, -14, +48, +99, +5, },
        { +4358, +4972, +1588, +2310, +986, +595, +869, -526, -1223, -277, +652, +34, +216, +141, -22, -120, -122, +1, +49, -14, -101, +99, -108, -54, -180, -284, -207, -160, -31, +53, +104, -2, },
        { +4049, +4526, +1367, +2016, +774, +619, +1057, -193, -943, +8, +975, +238, +224, +73, -43, -96, -105, -16, +104, +54, -140, +64, -50, +12, -174, -276, -142, -78, +11, +66, +70, -116, },
        { +3893, +4241, +1180, +1972, +964, +806, +1165, +33, -630, +212, +995, +139, -10, -165, -98, +59, +41, +7, +5, -42, -115, +70, -77, +64, -30, -184, -140, -90, -15, -39, -72, -166, },
        { +3974, +4515, +1563, +2245, +1024, +802, +1202, -117, -913, -34, +802, +109, -1, -233, -83, +92, -89, -104, +51, +9, -107, +121, -30, +82, +5, -192, -173, -173, -183, -127, -31, -91, },
        { +4054, +4585, +1487, +2101, +966, +877, +1249, -118, -989, -177, +776, +97, -55, -258, -131, +135, +150, +93, +56, -19, -114, +43, -129, +22, -1, -45, +2, -139, -203, -156, -63, -102, },
        { +4259, +4784, +1375, +1894, +699, +649, +1161, -136, -1098, -231, +956, +281, +11, -419, -371, +109, +241, +228, +268, +110, -100, +71, -147, -93, -92, -157, -42, +95, +87, -12, -90, -205, },
        { +4579, +5216, +1470, +1933, +626, +538, +991, -498, -1568, -608, +1002, +425, +4, -387, -268, +119, +196, +143, +174, +193, +16, +138, -48, -8, -110, -248, -134, +1, +116, +214, +157, -94, },
        { +5066, +5749, +1521, +2044, +640, +538, +926, -811, -2022, -949, +1051, +371, -252, -591, -377, +160, +302, +178, +234, +199, -60, +136, -88, +2, -40, -201, -104, +47, +67, +67, +148, +54, },
        { +5824, +6357, +1417, +2188, +604, +584, +938, -1093, -2439, -1140, +1270, +283, -550, -828, -547, +25, +209, +96, +231, +241, -75, +150, -72, -37, -72, -173, -85, +78, +65, +65, +106, -26, },
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        { +9769, +9532, +1154, +4053, +1153, -433, +152, -3044, -2341, +1209, -501, -2958, -549, -180, +526, +122, -1023, +24, +484, -243, -273, +98, -497, -249, -730, -696, -208, -420, -294, +24, +104, -194, },
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        { +13565, +11394, -2213, +2503, -423, +267, +2542, -3317, -3490, +2485, +2267, -3594, -2432, -1318, +735, +938, -1508, -888, +536, -170, -812, +241, -591, -131, -780, -1195, -241, -201, -267, -8, +131, -283, },
        { +14365, +11785, -2502, +2065, -1128, +690, +3071, -3145, -4082, +2294, +3294, -3126, -2782, -2332, +449, +1450, -1337, -1152, +323, -232, -796, +274, -707, -133, -760, -1160, -175, -77, -224, +1, +81, -344, },
        { +14713, +12188, -2245, +1714, -1545, +697, +3166, -2769, -4728, +1796, +4066, -2366, -3022, -3257, +104, +1860, -844, -1416, +119, -254, -847, +177, -909, -97, -642, -1112, -239, -41, -190, +38, +3, -445, },
        { +14645, +12610, -1772, +1687, -1818, +544, +3067, -2552, -5197, +1109, +4450, -1369, -2921, -4051, -284, +2048, -140, -1537, -208, -123, -1018, +64, -886, -45, -602, -1050, -397, -58, -122, -90, +12, -460, },
        { +14311, +12744, -823, +2013, -2087, +348, +2751, -2573, -5594, +298, +4380, -359, -2003, -4793, -1003, +2181, +482, -1298, -654, -93, -995, -9, -758, +71, -678, -1141, -461, -235, -94, -220, +50, -343, },
        { +13776, +12639, +346, +2236, -2014, +116, +2251, -2236, -6147, -504, +3963, +239, -615, -5033, -2049, +2178, +726, -876, -698, -265, -701, -87, -865, +185, -648, -1310, -522, -464, -75, -87, +92, -171, },
        { +13149, +12169, +1402, +2459, -1565, +84, +1536, -1759, -6362, -1341, +3564, +365, +555, -4522, -3382, +1810, +905, -453, -324, -409, -562, -71, -953, +103, -691, -1468, -465, -480, -26, +135, +160, -111, },
        { +12380, +11681, +1885, +3275, -1333, -131, +1419, -1701, -5961, -2232, +3308, +405, +924, -3382, -4610, +1021, +1316, -94, -127, -370, -464, +43, -1042, -366, -474, -1380, -504, -384, +12, +312, +117, -135, },
        { +11903, +11393, +1499, +3646, -589, -712, +1361, -1471, -5102, -2585, +2953, +277, +167, -1768, -4726, -478, +1438, +247, +197, -198, -524, -85, -1094, -602, -205, -1156, -495, -151, -147, +245, +126, -155, },
        { +11277, +11106, +1068, +3696, +162, -535, +662, -1668, -3438, -2767, +2450, +580, -999, -611, -3766, -1971, +1197, +402, +51, +288, -364, -586, -1018, -564, +72, -690, -805, -170, -83, +153, +125, -123, },
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        { +7367, +8733, -36, -1826, -124, +1616, +1200, -184, -1158, -452, +570, -113, +408, +131, +319, +450, -22, -49, +185, +112, -380, -100, -266, -117, -72, -71, +10, -213, +51, +444, +58, -226, },
        { +7780, +9068, -243, -2044, +77, +1858, +1206, -274, -1289, -551, +596, -178, +200, -29, +344, +432, -90, +103, +283, +41, -414, -210, -414, +8, +0, -140, +15, -152, +111, +292, -78, -206, },
        { +8345, +9580, -574, -2318, +346, +2040, +1168, -408, -1458, -527, +676, -258, +1, -124, +320, +310, -183, +87, +370, +84, -415, -236, -480, -21, -74, -20, +45, -230, +106, +351, -132, -434, },
        { +9094, +10154, -1025, -2554, +632, +2229, +994, -595, -1621, -437, +874, -416, -132, -257, +352, +267, -420, +47, +366, +3, -398, -143, -510, +98, -129, -195, +92, -138, -60, +248, +111, -492, },
        { +10041, +10768, -1614, -2719, +916, +2381, +756, -898, -1763, -304, +1151, -599, -325, -310, +358, +208, -536, -91, +282, -46, -529, -37, -456, +197, -31, -321, -13, -176, -156, +116, +291, -363, },
        { +11107, +11413, -2234, -2770, +1108, +2450, +521, -1208, -1885, -154, +1431, -759, -498, -367, +419, +97, -627, -128, +121, -90, -589, -28, -356, +273, +33, -279, -81, -291, -313, -16, +331, +7, },
        { +12280, +12021, -2906, -2717, +1134, +2377, +314, -1466, -2001, -37, +1641, -947, -595, -443, +445, +1, -745, -215, +22, -112, -652, -10, -293, +280, +22, -180, -159, -383, -467, -188, +208, +307, },
        { +13475, +12606, -3625, -2517, +1014, +2161, +183, -1625, -2084, +8, +1791, -1103, -612, -507, +435, -57, -847, -324, -41, -71, -678, +57, -282, +263, -37, -62, -209, -455, -522, -398, +113, +417, },
        { +14812, +13011, -4511, -2154, +806, +1834, +70, -1725, -2175, +16, +1867, -1208, -532, -590, +417, -130, -929, -396, -58, -66, -662, +121, -368, +291, -144, -1, -180, -513, -541, -616, +106, +375, },
        { +16380, +13067, -5650, -1592, +605, +1495, -131, -1780, -2290, +40, +2010, -1367, -305, -662, +396, -248, -905, -354, -222, +46, -645, +6, -354, +338, -292, +124, -80, -658, -520, -638, -12, +271, },
        { +17982, +12702, -6846, -878, +421, +1177, -463, -1808, -2473, +274, +2108, -1572, +121, -826, +355, -267, -731, -513, -308, +176, -908, +60, -376, +313, -223, +268, -136, -780, -340, -699, -278, +268, },
        { +19157, +12247, -7860, -132, +149, +912, -724, -1957, -2452, +536, +2076, -1557, +521, -1124, +525, -122, -855, -442, -535, +76, -863, -69, -379, +601, -217, +257, -79, -739, -389, -790, -342, +200, },
        { +19711, +11522, -8169, +401, -329, +905, -928, -2048, -2370, +752, +2017, -1467, +767, -1174, +691, -185, -760, -679, -713, +177, -1039, -25, -158, +692, -291, +423, -59, -878, -408, -762, -397, +110, },
        { +19465, +10779, -7703, +460, -893, +1187, -817, -2234, -2246, +1019, +1640, -1190, +1218, -1460, +857, -119, -1111, -511, -817, +81, -770, -57, -137, +805, -201, +370, -136, -863, -389, -713, -437, +67, },
        { +18333, +10203, -6584, +85, -1382, +1684, -563, -2346, -2049, +928, +1357, -671, +1226, -1413, +733, -229, -1009, -521, -666, +153, -618, -188, -102, +925, -315, +267, -79, -795, -334, -687, -385, +130, },
        { +16441, +9946, -5138, -473, -1669, +2005, -91, -2252, -1996, +837, +1093, -412, +1392, -1542, +535, -11, -1080, -203, -475, +134, -478, -260, -105, +753, -285, +165, +32, -670, -301, -515, -295, +22, },
        { +13089, +9529, -4017, -237, +483, +1183, -334, -1490, -1552, +647, +1264, -471, +629, -605, +562, -36, -643, -387, -501, +84, -371, -60, -86, +640, -100, +137, -1, -574, -350, -440, -324, -139, },
        { +11898, +9621, -3405, -1165, +243, +1679, +179, -1312, -1709, +64, +1140, -239, +692, -458, +479, +250, -561, -188, -174, +41, -320, -165, -304, +589, -101, -43, +124, -435, -309, -354, -282, -103, },
        { +10997, +9658, -2780, -1802, -26, +1783, +569, -947, -1662, -248, +967, -127, +729, -294, +466, +390, -354, -145, +46, +95, -329, -112, -479, +387, +17, -149, +90, -226, -277, -280, -149, -147, },
        { +10403, +9825, -2433, -2099, -53, +1814, +738, -808, -1574, -372, +873, -167, +701, -213, +490, +502, -294, -53, +103, +45, -399, -57, -537, +124, +113, -120, +21, -185, -188, -248, -114, -74, },
        { +10392, +9882, -2497, -2112, +324, +1944, +702, -937, -1618, -322, +898, -262, +449, -113, +460, +482, -188, -10, +186, -20, -556, -166, -451, +104, +9, -20, +13, -185, -148, -338, -76, +107, },
        { +10862, +9834, -2867, -1780, +884, +2063, +422, -1170, -1644, -165, +979, -389, +198, -268, +566, +314, -335, +218, +172, -127, -560, -306, -505, +230, +61, -85, -17, -114, -234, -393, -69, +141, },
        { +11578, +9958, -3241, -1267, +1305, +1835, +61, -1353, -1523, +172, +1158, -610, -59, -256, +501, +100, -434, +87, +156, -173, -554, -216, -452, +238, -8, +72, -57, -233, -279, -439, -54, +128, },
        { +12590, +10282, -3669, -831, +1213, +1299, -204, -1324, -1305, +642, +1310, -929, -150, -265, +378, -166, -511, -226, -25, -77, -591, -30, -316, +195, -77, +192, -79, -444, -281, -501, -173, +158, },
        { +13820, +10820, -4370, -641, +688, +719, -208, -1170, -1120, +1054, +1422, -1268, +60, -395, +126, -158, -785, -547, -55, -15, -622, +139, -270, +187, +11, +211, -203, -518, -250, -711, -272, +251, },
        { +14973, +10840, -5035, -319, +215, +327, -180, -1056, -1001, +1357, +1436, -1376, +373, -623, +75, -133, -1012, -696, -148, +89, -603, +166, -149, +257, +111, +201, -249, -478, -375, -806, -271, +241, },
        { +15155, +10582, -5238, +16, +115, +211, -361, -1141, -1066, +1374, +1522, -1325, +512, -561, +33, -137, -860, -968, -261, +174, -757, +281, -16, +297, +93, +272, -236, -631, -384, -770, -341, +145, },
        { +14475, +9926, -4814, +144, +323, +523, -528, -1336, -1319, +1198, +1433, -1025, +675, -646, +308, -70, -834, -739, -508, +86, -551, +161, +29, +400, +61, +248, -225, -631, -389, -587, -390, -22, },
        { +11096, +9607, -2841, -481, +1236, +612, -162, -1033, -885, +1058, +1197, -645, +47, -150, +202, +5, -433, -652, -254, -16, -605, +40, +33, +357, +315, +288, -273, -769, -633, -453, +2, +259, },
    },

    /* HRIR Delays */
    { 12, 12, 13, 14, 14, 14, 13, 12, 11, 10, 10, 10, 11, 12, 13, 14, 15, 15, 16, 16, 16, 15, 15, 14, 13, 12, 11, 10, 9, 8, 8, 8, 8, 8, 9, 10, 11, 12, 13, 14, 15, 16, 16, 17, 18, 18, 18, 18, 18, 17, 16, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 7, 6, 6, 6, 6, 6, 7, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 20, 20, 20, 20, 19, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 8, 7, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 21, 22, 22, 22, 22, 22, 21, 21, 20, 19, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 6, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 22, 23, 24, 24, 24, 24, 24, 23, 22, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 24, 25, 26, 26, 26, 26, 26, 25, 24, 24, 23, 22, 21, 20, 19, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 6, 5, 4, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27, 28, 28, 28, 27, 26, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 4, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 4, 3, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 26, 27, 28, 28, 28, 27, 26, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 4, 3, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 24, 25, 26, 26, 26, 26, 26, 25, 24, 24, 23, 22, 21, 20, 19, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 6, 5, 4, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 22, 23, 24, 24, 24, 24, 24, 23, 22, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 21, 22, 22, 22, 22, 22, 21, 21, 20, 19, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 6, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 20, 20, 20, 20, 19, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 8, 7, 6, 5, 5, 5, 4, 4, 4, 5, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 16, 17, 18, 18, 18, 18, 18, 17, 16, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 7, 6, 6, 6, 6, 6, 7, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 16, 16, 15, 15, 14, 13, 12, 11, 10, 9, 8, 8, 8, 8, 8, 9, 10, 11, 12, 13, 14, 14, 14, 13, 12, 11, 10, 10, 10, 11, 12, }