pub(crate) fn num_nodes(level: u32) -> usize
{
match level
{
0 => 1,
1 => 3,
2 => 7,
3 => 15,
4 => 31,
5 => 63,
6 => 127,
7 => 255,
8 => 511,
_ => panic!("Gauss-Patterson only supported for level <= 8!")
}
}
#[allow(clippy::excessive_precision)]
pub(crate) fn gauss_patterson_abscissa(level: u32) -> Vec<f64>
{
let mut x: Vec<f64> = Vec::new();
if level == 0
{
x.push(0.0);
}
else if level == 1
{
x.resize(3, 0.0);
x[0] = -0.77459666924148337704;
x[1] = 0.0;
x[2] = 0.77459666924148337704;
}
else if level == 2
{
x.resize(7, 0.0);
x[0] = -0.96049126870802028342;
x[1] = -0.77459666924148337704;
x[2] = -0.43424374934680255800;
x[3] = 0.0;
x[4] = 0.43424374934680255800;
x[5] = 0.77459666924148337704;
x[6] = 0.96049126870802028342;
}
else if level == 3
{
x.resize(15, 0.0);
x[ 0] = -0.99383196321275502221;
x[ 1] = -0.96049126870802028342;
x[ 2] = -0.88845923287225699889;
x[ 3] = -0.77459666924148337704;
x[ 4] = -0.62110294673722640294;
x[ 5] = -0.43424374934680255800;
x[ 6] = -0.22338668642896688163;
x[ 7] = 0.0;
x[ 8] = 0.22338668642896688163;
x[ 9] = 0.43424374934680255800;
x[10] = 0.62110294673722640294;
x[11] = 0.77459666924148337704;
x[12] = 0.88845923287225699889;
x[13] = 0.96049126870802028342;
x[14] = 0.99383196321275502221;
}
else if level == 4
{
x.resize(31, 0.0);
x[ 0] = -0.99909812496766759766;
x[ 1] = -0.99383196321275502221;
x[ 2] = -0.98153114955374010687;
x[ 3] = -0.96049126870802028342;
x[ 4] = -0.92965485742974005667;
x[ 5] = -0.88845923287225699889;
x[ 6] = -0.83672593816886873550;
x[ 7] = -0.77459666924148337704;
x[ 8] = -0.70249620649152707861;
x[ 9] = -0.62110294673722640294;
x[10] = -0.53131974364437562397;
x[11] = -0.43424374934680255800;
x[12] = -0.33113539325797683309;
x[13] = -0.22338668642896688163;
x[14] = -0.11248894313318662575;
x[15] = 0.0;
x[16] = 0.11248894313318662575;
x[17] = 0.22338668642896688163;
x[18] = 0.33113539325797683309;
x[19] = 0.43424374934680255800;
x[20] = 0.53131974364437562397;
x[21] = 0.62110294673722640294;
x[22] = 0.70249620649152707861;
x[23] = 0.77459666924148337704;
x[24] = 0.83672593816886873550;
x[25] = 0.88845923287225699889;
x[26] = 0.92965485742974005667;
x[27] = 0.96049126870802028342;
x[28] = 0.98153114955374010687;
x[29] = 0.99383196321275502221;
x[30] = 0.99909812496766759766;
}
else if level == 5
{
x.resize(63, 0.0);
x[ 0] = -0.99987288812035761194;
x[ 1] = -0.99909812496766759766;
x[ 2] = -0.99720625937222195908;
x[ 3] = -0.99383196321275502221;
x[ 4] = -0.98868475754742947994;
x[ 5] = -0.98153114955374010687;
x[ 6] = -0.97218287474858179658;
x[ 7] = -0.96049126870802028342;
x[ 8] = -0.94634285837340290515;
x[ 9] = -0.92965485742974005667;
x[10] = -0.91037115695700429250;
x[11] = -0.88845923287225699889;
x[12] = -0.86390793819369047715;
x[13] = -0.83672593816886873550;
x[14] = -0.80694053195021761186;
x[15] = -0.77459666924148337704;
x[16] = -0.73975604435269475868;
x[17] = -0.70249620649152707861;
x[18] = -0.66290966002478059546;
x[19] = -0.62110294673722640294;
x[20] = -0.57719571005204581484;
x[21] = -0.53131974364437562397;
x[22] = -0.48361802694584102756;
x[23] = -0.43424374934680255800;
x[24] = -0.38335932419873034692;
x[25] = -0.33113539325797683309;
x[26] = -0.27774982202182431507;
x[27] = -0.22338668642896688163;
x[28] = -0.16823525155220746498;
x[29] = -0.11248894313318662575;
x[30] = -0.056344313046592789972;
x[31] = 0.0;
x[32] = 0.056344313046592789972;
x[33] = 0.11248894313318662575;
x[34] = 0.16823525155220746498;
x[35] = 0.22338668642896688163;
x[36] = 0.27774982202182431507;
x[37] = 0.33113539325797683309;
x[38] = 0.38335932419873034692;
x[39] = 0.43424374934680255800;
x[40] = 0.48361802694584102756;
x[41] = 0.53131974364437562397;
x[42] = 0.57719571005204581484;
x[43] = 0.62110294673722640294;
x[44] = 0.66290966002478059546;
x[45] = 0.70249620649152707861;
x[46] = 0.73975604435269475868;
x[47] = 0.77459666924148337704;
x[48] = 0.80694053195021761186;
x[49] = 0.83672593816886873550;
x[50] = 0.86390793819369047715;
x[51] = 0.88845923287225699889;
x[52] = 0.91037115695700429250;
x[53] = 0.92965485742974005667;
x[54] = 0.94634285837340290515;
x[55] = 0.96049126870802028342;
x[56] = 0.97218287474858179658;
x[57] = 0.98153114955374010687;
x[58] = 0.98868475754742947994;
x[59] = 0.99383196321275502221;
x[60] = 0.99720625937222195908;
x[61] = 0.99909812496766759766;
x[62] = 0.99987288812035761194;
}
else if level == 6
{
x.resize(127, 0.0);
x[ 0] = -0.99998243035489159858;
x[ 1] = -0.99987288812035761194;
x[ 2] = -0.99959879967191068325;
x[ 3] = -0.99909812496766759766;
x[ 4] = -0.99831663531840739253;
x[ 5] = -0.99720625937222195908;
x[ 6] = -0.99572410469840718851;
x[ 7] = -0.99383196321275502221;
x[ 8] = -0.99149572117810613240;
x[ 9] = -0.98868475754742947994;
x[ 10] = -0.98537149959852037111;
x[ 11] = -0.98153114955374010687;
x[ 12] = -0.97714151463970571416;
x[ 13] = -0.97218287474858179658;
x[ 14] = -0.96663785155841656709;
x[ 15] = -0.96049126870802028342;
x[ 16] = -0.95373000642576113641;
x[ 17] = -0.94634285837340290515;
x[ 18] = -0.93832039777959288365;
x[ 19] = -0.92965485742974005667;
x[ 20] = -0.92034002547001242073;
x[ 21] = -0.91037115695700429250;
x[ 22] = -0.89974489977694003664;
x[ 23] = -0.88845923287225699889;
x[ 24] = -0.87651341448470526974;
x[ 25] = -0.86390793819369047715;
x[ 26] = -0.85064449476835027976;
x[ 27] = -0.83672593816886873550;
x[ 28] = -0.82215625436498040737;
x[ 29] = -0.80694053195021761186;
x[ 30] = -0.79108493379984836143;
x[ 31] = -0.77459666924148337704;
x[ 32] = -0.75748396638051363793;
x[ 33] = -0.73975604435269475868;
x[ 34] = -0.72142308537009891548;
x[ 35] = -0.70249620649152707861;
x[ 36] = -0.68298743109107922809;
x[ 37] = -0.66290966002478059546;
x[ 38] = -0.64227664250975951377;
x[ 39] = -0.62110294673722640294;
x[ 40] = -0.59940393024224289297;
x[ 41] = -0.57719571005204581484;
x[ 42] = -0.55449513263193254887;
x[ 43] = -0.53131974364437562397;
x[ 44] = -0.50768775753371660215;
x[ 45] = -0.48361802694584102756;
x[ 46] = -0.45913001198983233287;
x[ 47] = -0.43424374934680255800;
x[ 48] = -0.40897982122988867241;
x[ 49] = -0.38335932419873034692;
x[ 50] = -0.35740383783153215238;
x[ 51] = -0.33113539325797683309;
x[ 52] = -0.30457644155671404334;
x[ 53] = -0.27774982202182431507;
x[ 54] = -0.25067873030348317661;
x[ 55] = -0.22338668642896688163;
x[ 56] = -0.19589750271110015392;
x[ 57] = -0.16823525155220746498;
x[ 58] = -0.14042423315256017459;
x[ 59] = -0.11248894313318662575;
x[ 60] = -0.084454040083710883710;
x[ 61] = -0.056344313046592789972;
x[ 62] = -0.028184648949745694339;
x[ 63] = 0.0;
x[ 64] = 0.028184648949745694339;
x[ 65] = 0.056344313046592789972;
x[ 66] = 0.084454040083710883710;
x[ 67] = 0.11248894313318662575;
x[ 68] = 0.14042423315256017459;
x[ 69] = 0.16823525155220746498;
x[ 70] = 0.19589750271110015392;
x[ 71] = 0.22338668642896688163;
x[ 72] = 0.25067873030348317661;
x[ 73] = 0.27774982202182431507;
x[ 74] = 0.30457644155671404334;
x[ 75] = 0.33113539325797683309;
x[ 76] = 0.35740383783153215238;
x[ 77] = 0.38335932419873034692;
x[ 78] = 0.40897982122988867241;
x[ 79] = 0.43424374934680255800;
x[ 80] = 0.45913001198983233287;
x[ 81] = 0.48361802694584102756;
x[ 82] = 0.50768775753371660215;
x[ 83] = 0.53131974364437562397;
x[ 84] = 0.55449513263193254887;
x[ 85] = 0.57719571005204581484;
x[ 86] = 0.59940393024224289297;
x[ 87] = 0.62110294673722640294;
x[ 88] = 0.64227664250975951377;
x[ 89] = 0.66290966002478059546;
x[ 90] = 0.68298743109107922809;
x[ 91] = 0.70249620649152707861;
x[ 92] = 0.72142308537009891548;
x[ 93] = 0.73975604435269475868;
x[ 94] = 0.75748396638051363793;
x[ 95] = 0.77459666924148337704;
x[ 96] = 0.79108493379984836143;
x[ 97] = 0.80694053195021761186;
x[ 98] = 0.82215625436498040737;
x[ 99] = 0.83672593816886873550;
x[100] = 0.85064449476835027976;
x[101] = 0.86390793819369047715;
x[102] = 0.87651341448470526974;
x[103] = 0.88845923287225699889;
x[104] = 0.89974489977694003664;
x[105] = 0.91037115695700429250;
x[106] = 0.92034002547001242073;
x[107] = 0.92965485742974005667;
x[108] = 0.93832039777959288365;
x[109] = 0.94634285837340290515;
x[110] = 0.95373000642576113641;
x[111] = 0.96049126870802028342;
x[112] = 0.96663785155841656709;
x[113] = 0.97218287474858179658;
x[114] = 0.97714151463970571416;
x[115] = 0.98153114955374010687;
x[116] = 0.98537149959852037111;
x[117] = 0.98868475754742947994;
x[118] = 0.99149572117810613240;
x[119] = 0.99383196321275502221;
x[120] = 0.99572410469840718851;
x[121] = 0.99720625937222195908;
x[122] = 0.99831663531840739253;
x[123] = 0.99909812496766759766;
x[124] = 0.99959879967191068325;
x[125] = 0.99987288812035761194;
x[126] = 0.99998243035489159858;
}
else if level == 7
{
x.resize(255, 0.0);
x[ 0] = -0.99999759637974846462;
x[ 1] = -0.99998243035489159858;
x[ 2] = -0.99994399620705437576;
x[ 3] = -0.99987288812035761194;
x[ 4] = -0.99976049092443204733;
x[ 5] = -0.99959879967191068325;
x[ 6] = -0.99938033802502358193;
x[ 7] = -0.99909812496766759766;
x[ 8] = -0.99874561446809511470;
x[ 9] = -0.99831663531840739253;
x[ 10] = -0.99780535449595727456;
x[ 11] = -0.99720625937222195908;
x[ 12] = -0.99651414591489027385;
x[ 13] = -0.99572410469840718851;
x[ 14] = -0.99483150280062100052;
x[ 15] = -0.99383196321275502221;
x[ 16] = -0.99272134428278861533;
x[ 17] = -0.99149572117810613240;
x[ 18] = -0.99015137040077015918;
x[ 19] = -0.98868475754742947994;
x[ 20] = -0.98709252795403406719;
x[ 21] = -0.98537149959852037111;
x[ 22] = -0.98351865757863272876;
x[ 23] = -0.98153114955374010687;
x[ 24] = -0.97940628167086268381;
x[ 25] = -0.97714151463970571416;
x[ 26] = -0.97473445975240266776;
x[ 27] = -0.97218287474858179658;
x[ 28] = -0.96948465950245923177;
x[ 29] = -0.96663785155841656709;
x[ 30] = -0.96364062156981213252;
x[ 31] = -0.96049126870802028342;
x[ 32] = -0.95718821610986096274;
x[ 33] = -0.95373000642576113641;
x[ 34] = -0.95011529752129487656;
x[ 35] = -0.94634285837340290515;
x[ 36] = -0.94241156519108305981;
x[ 37] = -0.93832039777959288365;
x[ 38] = -0.93406843615772578800;
x[ 39] = -0.92965485742974005667;
x[ 40] = -0.92507893290707565236;
x[ 41] = -0.92034002547001242073;
x[ 42] = -0.91543758715576504064;
x[ 43] = -0.91037115695700429250;
x[ 44] = -0.90514035881326159519;
x[ 45] = -0.89974489977694003664;
x[ 46] = -0.89418456833555902286;
x[ 47] = -0.88845923287225699889;
x[ 48] = -0.88256884024734190684;
x[ 49] = -0.87651341448470526974;
x[ 50] = -0.87029305554811390585;
x[ 51] = -0.86390793819369047715;
x[ 52] = -0.85735831088623215653;
x[ 53] = -0.85064449476835027976;
x[ 54] = -0.84376688267270860104;
x[ 55] = -0.83672593816886873550;
x[ 56] = -0.82952219463740140018;
x[ 57] = -0.82215625436498040737;
x[ 58] = -0.81462878765513741344;
x[ 59] = -0.80694053195021761186;
x[ 60] = -0.79909229096084140180;
x[ 61] = -0.79108493379984836143;
x[ 62] = -0.78291939411828301639;
x[ 63] = -0.77459666924148337704;
x[ 64] = -0.76611781930376009072;
x[ 65] = -0.75748396638051363793;
x[ 66] = -0.74869629361693660282;
x[ 67] = -0.73975604435269475868;
x[ 68] = -0.73066452124218126133;
x[ 69] = -0.72142308537009891548;
x[ 70] = -0.71203315536225203459;
x[ 71] = -0.70249620649152707861;
x[ 72] = -0.69281376977911470289;
x[ 73] = -0.68298743109107922809;
x[ 74] = -0.67301883023041847920;
x[ 75] = -0.66290966002478059546;
x[ 76] = -0.65266166541001749610;
x[ 77] = -0.64227664250975951377;
x[ 78] = -0.63175643771119423041;
x[ 79] = -0.62110294673722640294;
x[ 80] = -0.61031811371518640016;
x[ 81] = -0.59940393024224289297;
x[ 82] = -0.58836243444766254143;
x[ 83] = -0.57719571005204581484;
x[ 84] = -0.56590588542365442262;
x[ 85] = -0.55449513263193254887;
x[ 86] = -0.54296566649831149049;
x[ 87] = -0.53131974364437562397;
x[ 88] = -0.51955966153745702199;
x[ 89] = -0.50768775753371660215;
x[ 90] = -0.49570640791876146017;
x[ 91] = -0.48361802694584102756;
x[ 92] = -0.47142506587165887693;
x[ 93] = -0.45913001198983233287;
x[ 94] = -0.44673538766202847374;
x[ 95] = -0.43424374934680255800;
x[ 96] = -0.42165768662616330006;
x[ 97] = -0.40897982122988867241;
x[ 98] = -0.39621280605761593918;
x[ 99] = -0.38335932419873034692;
x[100] = -0.37042208795007823014;
x[101] = -0.35740383783153215238;
x[102] = -0.34430734159943802278;
x[103] = -0.33113539325797683309;
x[104] = -0.31789081206847668318;
x[105] = -0.30457644155671404334;
x[106] = -0.29119514851824668196;
x[107] = -0.27774982202182431507;
x[108] = -0.26424337241092676194;
x[109] = -0.25067873030348317661;
x[110] = -0.23705884558982972721;
x[111] = -0.22338668642896688163;
x[112] = -0.20966523824318119477;
x[113] = -0.19589750271110015392;
x[114] = -0.18208649675925219825;
x[115] = -0.16823525155220746498;
x[116] = -0.15434681148137810869;
x[117] = -0.14042423315256017459;
x[118] = -0.12647058437230196685;
x[119] = -0.11248894313318662575;
x[120] = -0.098482396598119202090;
x[121] = -0.084454040083710883710;
x[122] = -0.070406976042855179063;
x[123] = -0.056344313046592789972;
x[124] = -0.042269164765363603212;
x[125] = -0.028184648949745694339;
x[126] = -0.014093886410782462614;
x[127] = 0.0;
x[128] = 0.014093886410782462614;
x[129] = 0.028184648949745694339;
x[130] = 0.042269164765363603212;
x[131] = 0.056344313046592789972;
x[132] = 0.070406976042855179063;
x[133] = 0.084454040083710883710;
x[134] = 0.098482396598119202090;
x[135] = 0.11248894313318662575;
x[136] = 0.12647058437230196685;
x[137] = 0.14042423315256017459;
x[138] = 0.15434681148137810869;
x[139] = 0.16823525155220746498;
x[140] = 0.18208649675925219825;
x[141] = 0.19589750271110015392;
x[142] = 0.20966523824318119477;
x[143] = 0.22338668642896688163;
x[144] = 0.23705884558982972721;
x[145] = 0.25067873030348317661;
x[146] = 0.26424337241092676194;
x[147] = 0.27774982202182431507;
x[148] = 0.29119514851824668196;
x[149] = 0.30457644155671404334;
x[150] = 0.31789081206847668318;
x[151] = 0.33113539325797683309;
x[152] = 0.34430734159943802278;
x[153] = 0.35740383783153215238;
x[154] = 0.37042208795007823014;
x[155] = 0.38335932419873034692;
x[156] = 0.39621280605761593918;
x[157] = 0.40897982122988867241;
x[158] = 0.42165768662616330006;
x[159] = 0.43424374934680255800;
x[160] = 0.44673538766202847374;
x[161] = 0.45913001198983233287;
x[162] = 0.47142506587165887693;
x[163] = 0.48361802694584102756;
x[164] = 0.49570640791876146017;
x[165] = 0.50768775753371660215;
x[166] = 0.51955966153745702199;
x[167] = 0.53131974364437562397;
x[168] = 0.54296566649831149049;
x[169] = 0.55449513263193254887;
x[170] = 0.56590588542365442262;
x[171] = 0.57719571005204581484;
x[172] = 0.58836243444766254143;
x[173] = 0.59940393024224289297;
x[174] = 0.61031811371518640016;
x[175] = 0.62110294673722640294;
x[176] = 0.63175643771119423041;
x[177] = 0.64227664250975951377;
x[178] = 0.65266166541001749610;
x[179] = 0.66290966002478059546;
x[180] = 0.67301883023041847920;
x[181] = 0.68298743109107922809;
x[182] = 0.69281376977911470289;
x[183] = 0.70249620649152707861;
x[184] = 0.71203315536225203459;
x[185] = 0.72142308537009891548;
x[186] = 0.73066452124218126133;
x[187] = 0.73975604435269475868;
x[188] = 0.74869629361693660282;
x[189] = 0.75748396638051363793;
x[190] = 0.76611781930376009072;
x[191] = 0.77459666924148337704;
x[192] = 0.78291939411828301639;
x[193] = 0.79108493379984836143;
x[194] = 0.79909229096084140180;
x[195] = 0.80694053195021761186;
x[196] = 0.81462878765513741344;
x[197] = 0.82215625436498040737;
x[198] = 0.82952219463740140018;
x[199] = 0.83672593816886873550;
x[200] = 0.84376688267270860104;
x[201] = 0.85064449476835027976;
x[202] = 0.85735831088623215653;
x[203] = 0.86390793819369047715;
x[204] = 0.87029305554811390585;
x[205] = 0.87651341448470526974;
x[206] = 0.88256884024734190684;
x[207] = 0.88845923287225699889;
x[208] = 0.89418456833555902286;
x[209] = 0.89974489977694003664;
x[210] = 0.90514035881326159519;
x[211] = 0.91037115695700429250;
x[212] = 0.91543758715576504064;
x[213] = 0.92034002547001242073;
x[214] = 0.92507893290707565236;
x[215] = 0.92965485742974005667;
x[216] = 0.93406843615772578800;
x[217] = 0.93832039777959288365;
x[218] = 0.94241156519108305981;
x[219] = 0.94634285837340290515;
x[220] = 0.95011529752129487656;
x[221] = 0.95373000642576113641;
x[222] = 0.95718821610986096274;
x[223] = 0.96049126870802028342;
x[224] = 0.96364062156981213252;
x[225] = 0.96663785155841656709;
x[226] = 0.96948465950245923177;
x[227] = 0.97218287474858179658;
x[228] = 0.97473445975240266776;
x[229] = 0.97714151463970571416;
x[230] = 0.97940628167086268381;
x[231] = 0.98153114955374010687;
x[232] = 0.98351865757863272876;
x[233] = 0.98537149959852037111;
x[234] = 0.98709252795403406719;
x[235] = 0.98868475754742947994;
x[236] = 0.99015137040077015918;
x[237] = 0.99149572117810613240;
x[238] = 0.99272134428278861533;
x[239] = 0.99383196321275502221;
x[240] = 0.99483150280062100052;
x[241] = 0.99572410469840718851;
x[242] = 0.99651414591489027385;
x[243] = 0.99720625937222195908;
x[244] = 0.99780535449595727456;
x[245] = 0.99831663531840739253;
x[246] = 0.99874561446809511470;
x[247] = 0.99909812496766759766;
x[248] = 0.99938033802502358193;
x[249] = 0.99959879967191068325;
x[250] = 0.99976049092443204733;
x[251] = 0.99987288812035761194;
x[252] = 0.99994399620705437576;
x[253] = 0.99998243035489159858;
x[254] = 0.99999759637974846462;
}
else if level == 8
{
x.resize(511, 0.0);
x[ 0] = -0.999999672956734384381;
x[ 1] = -0.999997596379748464620;
x[ 2] = -0.999992298136257588028;
x[ 3] = -0.999982430354891598580;
x[ 4] = -0.999966730098486276883;
x[ 5] = -0.999943996207054375764;
x[ 6] = -0.999913081144678282800;
x[ 7] = -0.999872888120357611938;
x[ 8] = -0.999822363679787739196;
x[ 9] = -0.999760490924432047330;
x[ 10] = -0.999686286448317731776;
x[ 11] = -0.999598799671910683252;
x[ 12] = -0.999497112467187190535;
x[ 13] = -0.999380338025023581928;
x[ 14] = -0.999247618943342473599;
x[ 15] = -0.999098124967667597662;
x[ 16] = -0.998931050830810562236;
x[ 17] = -0.998745614468095114704;
x[ 18] = -0.998541055697167906027;
x[ 19] = -0.998316635318407392531;
x[ 20] = -0.998071634524930323302;
x[ 21] = -0.997805354495957274562;
x[ 22] = -0.997517116063472399965;
x[ 23] = -0.997206259372221959076;
x[ 24] = -0.996872143485260161299;
x[ 25] = -0.996514145914890273849;
x[ 26] = -0.996131662079315037786;
x[ 27] = -0.995724104698407188509;
x[ 28] = -0.995290903148810302261;
x[ 29] = -0.994831502800621000519;
x[ 30] = -0.994345364356723405931;
x[ 31] = -0.993831963212755022209;
x[ 32] = -0.993290788851684966211;
x[ 33] = -0.992721344282788615328;
x[ 34] = -0.992123145530863117683;
x[ 35] = -0.991495721178106132399;
x[ 36] = -0.990838611958294243677;
x[ 37] = -0.990151370400770159181;
x[ 38] = -0.989433560520240838716;
x[ 39] = -0.988684757547429479939;
x[ 40] = -0.987904547695124280467;
x[ 41] = -0.987092527954034067190;
x[ 42] = -0.986248305913007552681;
x[ 43] = -0.985371499598520371114;
x[ 44] = -0.984461737328814534596;
x[ 45] = -0.983518657578632728762;
x[ 46] = -0.982541908851080604251;
x[ 47] = -0.981531149553740106867;
x[ 48] = -0.980486047876721339416;
x[ 49] = -0.979406281670862683806;
x[ 50] = -0.978291538324758539526;
x[ 51] = -0.977141514639705714156;
x[ 52] = -0.975955916702011753129;
x[ 53] = -0.974734459752402667761;
x[ 54] = -0.973476868052506926773;
x[ 55] = -0.972182874748581796578;
x[ 56] = -0.970852221732792443256;
x[ 57] = -0.969484659502459231771;
x[ 58] = -0.968079947017759947964;
x[ 59] = -0.966637851558416567092;
x[ 60] = -0.965158148579915665979;
x[ 61] = -0.963640621569812132521;
x[ 62] = -0.962085061904651475741;
x[ 63] = -0.960491268708020283423;
x[ 64] = -0.958859048710200221356;
x[ 65] = -0.957188216109860962736;
x[ 66] = -0.955478592438183697574;
x[ 67] = -0.953730006425761136415;
x[ 68] = -0.951942293872573589498;
x[ 69] = -0.950115297521294876558;
x[ 70] = -0.948248866934137357063;
x[ 71] = -0.946342858373402905148;
x[ 72] = -0.944397134685866648591;
x[ 73] = -0.942411565191083059813;
x[ 74] = -0.940386025573669721370;
x[ 75] = -0.938320397779592883655;
x[ 76] = -0.936214569916450806625;
x[ 77] = -0.934068436157725787999;
x[ 78] = -0.931881896650953639345;
x[ 79] = -0.929654857429740056670;
x[ 80] = -0.927387230329536696843;
x[ 81] = -0.925078932907075652364;
x[ 82] = -0.922729888363349241523;
x[ 83] = -0.920340025470012420730;
x[ 84] = -0.917909278499077501636;
x[ 85] = -0.915437587155765040644;
x[ 86] = -0.912924896514370590080;
x[ 87] = -0.910371156957004292498;
x[ 88] = -0.907776324115058903624;
x[ 89] = -0.905140358813261595189;
x[ 90] = -0.902463227016165675048;
x[ 91] = -0.899744899776940036639;
x[ 92] = -0.896985353188316590376;
x[ 93] = -0.894184568335559022859;
x[ 94] = -0.891342531251319871666;
x[ 95] = -0.888459232872256998890;
x[ 96] = -0.885534668997285008926;
x[ 97] = -0.882568840247341906842;
x[ 98] = -0.879561752026556262568;
x[ 99] = -0.876513414484705269742;
x[100] = -0.873423842480859310192;
x[101] = -0.870293055548113905851;
x[102] = -0.867121077859315215614;
x[103] = -0.863907938193690477146;
x[104] = -0.860653669904299969802;
x[105] = -0.857358310886232156525;
x[106] = -0.854021903545468625813;
x[107] = -0.850644494768350279758;
x[108] = -0.847226135891580884381;
x[109] = -0.843766882672708601038;
x[110] = -0.840266795261030442350;
x[111] = -0.836725938168868735503;
x[112] = -0.833144380243172624728;
x[113] = -0.829522194637401400178;
x[114] = -0.825859458783650001088;
x[115] = -0.822156254364980407373;
x[116] = -0.818412667287925807395;
x[117] = -0.814628787655137413436;
x[118] = -0.810804709738146594361;
x[119] = -0.806940531950217611856;
x[120] = -0.803036356819268687782;
x[121] = -0.799092290960841401800;
x[122] = -0.795108445051100526780;
x[123] = -0.791084933799848361435;
x[124] = -0.787021875923539422170;
x[125] = -0.782919394118283016385;
x[126] = -0.778777615032822744702;
x[127] = -0.774596669241483377036;
x[128] = -0.770376691217076824278;
x[129] = -0.766117819303760090717;
x[130] = -0.761820195689839149173;
x[131] = -0.757483966380513637926;
x[132] = -0.753109281170558142523;
x[133] = -0.748696293616936602823;
x[134] = -0.744245161011347082309;
x[135] = -0.739756044352694758677;
x[136] = -0.735229108319491547663;
x[137] = -0.730664521242181261329;
x[138] = -0.726062455075389632685;
x[139] = -0.721423085370098915485;
x[140] = -0.716746591245747095767;
x[141] = -0.712033155362252034587;
x[142] = -0.707282963891961103412;
x[143] = -0.702496206491527078610;
x[144] = -0.697673076273711232906;
x[145] = -0.692813769779114702895;
x[146] = -0.687918486947839325756;
x[147] = -0.682987431091079228087;
x[148] = -0.678020808862644517838;
x[149] = -0.673018830230418479199;
x[150] = -0.667981708447749702165;
x[151] = -0.662909660024780595461;
x[152] = -0.657802904699713735422;
x[153] = -0.652661665410017496101;
x[154] = -0.647486168263572388782;
x[155] = -0.642276642509759513774;
x[156] = -0.637033320510492495071;
x[157] = -0.631756437711194230414;
x[158] = -0.626446232611719746542;
x[159] = -0.621102946737226402941;
x[160] = -0.615726824608992638014;
x[161] = -0.610318113715186400156;
x[162] = -0.604877064481584353319;
x[163] = -0.599403930242242892974;
x[164] = -0.593898967210121954393;
x[165] = -0.588362434447662541434;
x[166] = -0.582794593837318850840;
x[167] = -0.577195710052045814844;
x[168] = -0.571566050525742833992;
x[169] = -0.565905885423654422623;
x[170] = -0.560215487612728441818;
x[171] = -0.554495132631932548866;
x[172] = -0.548745098662529448608;
x[173] = -0.542965666498311490492;
x[174] = -0.537157119515795115982;
x[175] = -0.531319743644375623972;
x[176] = -0.525453827336442687395;
x[177] = -0.519559661537457021993;
x[178] = -0.513637539655988578507;
x[179] = -0.507687757533716602155;
x[180] = -0.501710613415391878251;
x[181] = -0.495706407918761460170;
x[182] = -0.489675444004456155436;
x[183] = -0.483618026945841027562;
x[184] = -0.477534464298829155284;
x[185] = -0.471425065871658876934;
x[186] = -0.465290143694634735858;
x[187] = -0.459130011989832332874;
x[188] = -0.452944987140767283784;
x[189] = -0.446735387662028473742;
x[190] = -0.440501534168875795783;
x[191] = -0.434243749346802558002;
x[192] = -0.427962357921062742583;
x[193] = -0.421657686626163300056;
x[194] = -0.415330064175321663764;
x[195] = -0.408979821229888672409;
x[196] = -0.402607290368737092671;
x[197] = -0.396212806057615939183;
x[198] = -0.389796704618470795479;
x[199] = -0.383359324198730346916;
x[200] = -0.376901004740559344802;
x[201] = -0.370422087950078230138;
x[202] = -0.363922917266549655269;
x[203] = -0.357403837831532152376;
x[204] = -0.350865196458001209011;
x[205] = -0.344307341599438022777;
x[206] = -0.337730623318886219621;
x[207] = -0.331135393257976833093;
x[208] = -0.324522004605921855207;
x[209] = -0.317890812068476683182;
x[210] = -0.311242171836871800300;
x[211] = -0.304576441556714043335;
x[212] = -0.297893980296857823437;
x[213] = -0.291195148518246681964;
x[214] = -0.284480308042725577496;
x[215] = -0.277749822021824315065;
x[216] = -0.271004054905512543536;
x[217] = -0.264243372410926761945;
x[218] = -0.257468141491069790481;
x[219] = -0.250678730303483176613;
x[220] = -0.243875508178893021593;
x[221] = -0.237058845589829727213;
x[222] = -0.230229114119222177156;
x[223] = -0.223386686428966881628;
x[224] = -0.216531936228472628081;
x[225] = -0.209665238243181194766;
x[226] = -0.202786968183064697557;
x[227] = -0.195897502711100153915;
x[228] = -0.188997219411721861059;
x[229] = -0.182086496759252198246;
x[230] = -0.175165714086311475707;
x[231] = -0.168235251552207464982;
x[232] = -0.161295490111305257361;
x[233] = -0.154346811481378108692;
x[234] = -0.147389598111939940054;
x[235] = -0.140424233152560174594;
x[236] = -0.133451100421161601344;
x[237] = -0.126470584372301966851;
x[238] = -0.119483070065440005133;
x[239] = -0.112488943133186625746;
x[240] = -0.105488589749541988533;
x[241] = -0.984823965981192020903E-01;
x[242] = -0.914707508403553909095E-01;
x[243] = -0.844540400837108837102E-01;
x[244] = -0.774326523498572825675E-01;
x[245] = -0.704069760428551790633E-01;
x[246] = -0.633773999173222898797E-01;
x[247] = -0.563443130465927899720E-01;
x[248] = -0.493081047908686267156E-01;
x[249] = -0.422691647653636032124E-01;
x[250] = -0.352278828084410232603E-01;
x[251] = -0.281846489497456943394E-01;
x[252] = -0.211398533783310883350E-01;
x[253] = -0.140938864107824626142E-01;
x[254] = -0.704713845933674648514E-02;
x[255] = 0.000000000000000000000;
x[256] = 0.704713845933674648514E-02;
x[257] = 0.140938864107824626142E-01;
x[258] = 0.211398533783310883350E-01;
x[259] = 0.281846489497456943394E-01;
x[260] = 0.352278828084410232603E-01;
x[261] = 0.422691647653636032124E-01;
x[262] = 0.493081047908686267156E-01;
x[263] = 0.563443130465927899720E-01;
x[264] = 0.633773999173222898797E-01;
x[265] = 0.704069760428551790633E-01;
x[266] = 0.774326523498572825675E-01;
x[267] = 0.844540400837108837102E-01;
x[268] = 0.914707508403553909095E-01;
x[269] = 0.984823965981192020903E-01;
x[270] = 0.105488589749541988533;
x[271] = 0.112488943133186625746;
x[272] = 0.119483070065440005133;
x[273] = 0.126470584372301966851;
x[274] = 0.133451100421161601344;
x[275] = 0.140424233152560174594;
x[276] = 0.147389598111939940054;
x[277] = 0.154346811481378108692;
x[278] = 0.161295490111305257361;
x[279] = 0.168235251552207464982;
x[280] = 0.175165714086311475707;
x[281] = 0.182086496759252198246;
x[282] = 0.188997219411721861059;
x[283] = 0.195897502711100153915;
x[284] = 0.202786968183064697557;
x[285] = 0.209665238243181194766;
x[286] = 0.216531936228472628081;
x[287] = 0.223386686428966881628;
x[288] = 0.230229114119222177156;
x[289] = 0.237058845589829727213;
x[290] = 0.243875508178893021593;
x[291] = 0.250678730303483176613;
x[292] = 0.257468141491069790481;
x[293] = 0.264243372410926761945;
x[294] = 0.271004054905512543536;
x[295] = 0.277749822021824315065;
x[296] = 0.284480308042725577496;
x[297] = 0.291195148518246681964;
x[298] = 0.297893980296857823437;
x[299] = 0.304576441556714043335;
x[300] = 0.311242171836871800300;
x[301] = 0.317890812068476683182;
x[302] = 0.324522004605921855207;
x[303] = 0.331135393257976833093;
x[304] = 0.337730623318886219621;
x[305] = 0.344307341599438022777;
x[306] = 0.350865196458001209011;
x[307] = 0.357403837831532152376;
x[308] = 0.363922917266549655269;
x[309] = 0.370422087950078230138;
x[310] = 0.376901004740559344802;
x[311] = 0.383359324198730346916;
x[312] = 0.389796704618470795479;
x[313] = 0.396212806057615939183;
x[314] = 0.402607290368737092671;
x[315] = 0.408979821229888672409;
x[316] = 0.415330064175321663764;
x[317] = 0.421657686626163300056;
x[318] = 0.427962357921062742583;
x[319] = 0.434243749346802558002;
x[320] = 0.440501534168875795783;
x[321] = 0.446735387662028473742;
x[322] = 0.452944987140767283784;
x[323] = 0.459130011989832332874;
x[324] = 0.465290143694634735858;
x[325] = 0.471425065871658876934;
x[326] = 0.477534464298829155284;
x[327] = 0.483618026945841027562;
x[328] = 0.489675444004456155436;
x[329] = 0.495706407918761460170;
x[330] = 0.501710613415391878251;
x[331] = 0.507687757533716602155;
x[332] = 0.513637539655988578507;
x[333] = 0.519559661537457021993;
x[334] = 0.525453827336442687395;
x[335] = 0.531319743644375623972;
x[336] = 0.537157119515795115982;
x[337] = 0.542965666498311490492;
x[338] = 0.548745098662529448608;
x[339] = 0.554495132631932548866;
x[340] = 0.560215487612728441818;
x[341] = 0.565905885423654422623;
x[342] = 0.571566050525742833992;
x[343] = 0.577195710052045814844;
x[344] = 0.582794593837318850840;
x[345] = 0.588362434447662541434;
x[346] = 0.593898967210121954393;
x[347] = 0.599403930242242892974;
x[348] = 0.604877064481584353319;
x[349] = 0.610318113715186400156;
x[350] = 0.615726824608992638014;
x[351] = 0.621102946737226402941;
x[352] = 0.626446232611719746542;
x[353] = 0.631756437711194230414;
x[354] = 0.637033320510492495071;
x[355] = 0.642276642509759513774;
x[356] = 0.647486168263572388782;
x[357] = 0.652661665410017496101;
x[358] = 0.657802904699713735422;
x[359] = 0.662909660024780595461;
x[360] = 0.667981708447749702165;
x[361] = 0.673018830230418479199;
x[362] = 0.678020808862644517838;
x[363] = 0.682987431091079228087;
x[364] = 0.687918486947839325756;
x[365] = 0.692813769779114702895;
x[366] = 0.697673076273711232906;
x[367] = 0.702496206491527078610;
x[368] = 0.707282963891961103412;
x[369] = 0.712033155362252034587;
x[370] = 0.716746591245747095767;
x[371] = 0.721423085370098915485;
x[372] = 0.726062455075389632685;
x[373] = 0.730664521242181261329;
x[374] = 0.735229108319491547663;
x[375] = 0.739756044352694758677;
x[376] = 0.744245161011347082309;
x[377] = 0.748696293616936602823;
x[378] = 0.753109281170558142523;
x[379] = 0.757483966380513637926;
x[380] = 0.761820195689839149173;
x[381] = 0.766117819303760090717;
x[382] = 0.770376691217076824278;
x[383] = 0.774596669241483377036;
x[384] = 0.778777615032822744702;
x[385] = 0.782919394118283016385;
x[386] = 0.787021875923539422170;
x[387] = 0.791084933799848361435;
x[388] = 0.795108445051100526780;
x[389] = 0.799092290960841401800;
x[390] = 0.803036356819268687782;
x[391] = 0.806940531950217611856;
x[392] = 0.810804709738146594361;
x[393] = 0.814628787655137413436;
x[394] = 0.818412667287925807395;
x[395] = 0.822156254364980407373;
x[396] = 0.825859458783650001088;
x[397] = 0.829522194637401400178;
x[398] = 0.833144380243172624728;
x[399] = 0.836725938168868735503;
x[400] = 0.840266795261030442350;
x[401] = 0.843766882672708601038;
x[402] = 0.847226135891580884381;
x[403] = 0.850644494768350279758;
x[404] = 0.854021903545468625813;
x[405] = 0.857358310886232156525;
x[406] = 0.860653669904299969802;
x[407] = 0.863907938193690477146;
x[408] = 0.867121077859315215614;
x[409] = 0.870293055548113905851;
x[410] = 0.873423842480859310192;
x[411] = 0.876513414484705269742;
x[412] = 0.879561752026556262568;
x[413] = 0.882568840247341906842;
x[414] = 0.885534668997285008926;
x[415] = 0.888459232872256998890;
x[416] = 0.891342531251319871666;
x[417] = 0.894184568335559022859;
x[418] = 0.896985353188316590376;
x[419] = 0.899744899776940036639;
x[420] = 0.902463227016165675048;
x[421] = 0.905140358813261595189;
x[422] = 0.907776324115058903624;
x[423] = 0.910371156957004292498;
x[424] = 0.912924896514370590080;
x[425] = 0.915437587155765040644;
x[426] = 0.917909278499077501636;
x[427] = 0.920340025470012420730;
x[428] = 0.922729888363349241523;
x[429] = 0.925078932907075652364;
x[430] = 0.927387230329536696843;
x[431] = 0.929654857429740056670;
x[432] = 0.931881896650953639345;
x[433] = 0.934068436157725787999;
x[434] = 0.936214569916450806625;
x[435] = 0.938320397779592883655;
x[436] = 0.940386025573669721370;
x[437] = 0.942411565191083059813;
x[438] = 0.944397134685866648591;
x[439] = 0.946342858373402905148;
x[440] = 0.948248866934137357063;
x[441] = 0.950115297521294876558;
x[442] = 0.951942293872573589498;
x[443] = 0.953730006425761136415;
x[444] = 0.955478592438183697574;
x[445] = 0.957188216109860962736;
x[446] = 0.958859048710200221356;
x[447] = 0.960491268708020283423;
x[448] = 0.962085061904651475741;
x[449] = 0.963640621569812132521;
x[450] = 0.965158148579915665979;
x[451] = 0.966637851558416567092;
x[452] = 0.968079947017759947964;
x[453] = 0.969484659502459231771;
x[454] = 0.970852221732792443256;
x[455] = 0.972182874748581796578;
x[456] = 0.973476868052506926773;
x[457] = 0.974734459752402667761;
x[458] = 0.975955916702011753129;
x[459] = 0.977141514639705714156;
x[460] = 0.978291538324758539526;
x[461] = 0.979406281670862683806;
x[462] = 0.980486047876721339416;
x[463] = 0.981531149553740106867;
x[464] = 0.982541908851080604251;
x[465] = 0.983518657578632728762;
x[466] = 0.984461737328814534596;
x[467] = 0.985371499598520371114;
x[468] = 0.986248305913007552681;
x[469] = 0.987092527954034067190;
x[470] = 0.987904547695124280467;
x[471] = 0.988684757547429479939;
x[472] = 0.989433560520240838716;
x[473] = 0.990151370400770159181;
x[474] = 0.990838611958294243677;
x[475] = 0.991495721178106132399;
x[476] = 0.992123145530863117683;
x[477] = 0.992721344282788615328;
x[478] = 0.993290788851684966211;
x[479] = 0.993831963212755022209;
x[480] = 0.994345364356723405931;
x[481] = 0.994831502800621000519;
x[482] = 0.995290903148810302261;
x[483] = 0.995724104698407188509;
x[484] = 0.996131662079315037786;
x[485] = 0.996514145914890273849;
x[486] = 0.996872143485260161299;
x[487] = 0.997206259372221959076;
x[488] = 0.997517116063472399965;
x[489] = 0.997805354495957274562;
x[490] = 0.998071634524930323302;
x[491] = 0.998316635318407392531;
x[492] = 0.998541055697167906027;
x[493] = 0.998745614468095114704;
x[494] = 0.998931050830810562236;
x[495] = 0.999098124967667597662;
x[496] = 0.999247618943342473599;
x[497] = 0.999380338025023581928;
x[498] = 0.999497112467187190535;
x[499] = 0.999598799671910683252;
x[500] = 0.999686286448317731776;
x[501] = 0.999760490924432047330;
x[502] = 0.999822363679787739196;
x[503] = 0.999872888120357611938;
x[504] = 0.999913081144678282800;
x[505] = 0.999943996207054375764;
x[506] = 0.999966730098486276883;
x[507] = 0.999982430354891598580;
x[508] = 0.999992298136257588028;
x[509] = 0.999997596379748464620;
x[510] = 0.999999672956734384381;
}
else
{
panic!("Gauss-Patterson only supported for level <= 8!")
}
for xi in x.iter_mut()
{
*xi = 0.5*(1.0 + *xi);
}
x
}
#[allow(clippy::excessive_precision)]
pub(crate) fn gauss_patterson_weights(level: u32) -> Vec<f64>
{
let mut w: Vec<f64> = Vec::new();
if level == 0
{
w.push(2.0);
}
else if level == 1
{
w.resize(3, 0.0);
w[0] = 0.555555555555555555556;
w[1] = 0.888888888888888888889;
w[2] = 0.555555555555555555556;
}
else if level == 2
{
w.resize(7, 0.0);
w[0] = 0.104656226026467265194;
w[1] = 0.268488089868333440729;
w[2] = 0.401397414775962222905;
w[3] = 0.450916538658474142345;
w[4] = 0.401397414775962222905;
w[5] = 0.268488089868333440729;
w[6] = 0.104656226026467265194;
}
else if level == 3
{
w.resize(15, 0.0);
w[ 0] = 0.0170017196299402603390;
w[ 1] = 0.0516032829970797396969;
w[ 2] = 0.0929271953151245376859;
w[ 3] = 0.134415255243784220360;
w[ 4] = 0.171511909136391380787;
w[ 5] = 0.200628529376989021034;
w[ 6] = 0.219156858401587496404;
w[ 7] = 0.225510499798206687386;
w[ 8] = 0.219156858401587496404;
w[ 9] = 0.200628529376989021034;
w[10] = 0.171511909136391380787;
w[11] = 0.134415255243784220360;
w[12] = 0.0929271953151245376859;
w[13] = 0.0516032829970797396969;
w[14] = 0.0170017196299402603390;
}
else if level == 4
{
w.resize(31, 0.0);
w[ 0] = 0.00254478079156187441540;
w[ 1] = 0.00843456573932110624631;
w[ 2] = 0.0164460498543878109338;
w[ 3] = 0.0258075980961766535646;
w[ 4] = 0.0359571033071293220968;
w[ 5] = 0.0464628932617579865414;
w[ 6] = 0.0569795094941233574122;
w[ 7] = 0.0672077542959907035404;
w[ 8] = 0.0768796204990035310427;
w[ 9] = 0.0857559200499903511542;
w[10] = 0.0936271099812644736167;
w[11] = 0.100314278611795578771;
w[12] = 0.105669893580234809744;
w[13] = 0.109578421055924638237;
w[14] = 0.111956873020953456880;
w[15] = 0.112755256720768691607;
w[16] = 0.111956873020953456880;
w[17] = 0.109578421055924638237;
w[18] = 0.105669893580234809744;
w[19] = 0.100314278611795578771;
w[20] = 0.0936271099812644736167;
w[21] = 0.0857559200499903511542;
w[22] = 0.0768796204990035310427;
w[23] = 0.0672077542959907035404;
w[24] = 0.0569795094941233574122;
w[25] = 0.0464628932617579865414;
w[26] = 0.0359571033071293220968;
w[27] = 0.0258075980961766535646;
w[28] = 0.0164460498543878109338;
w[29] = 0.00843456573932110624631;
w[30] = 0.00254478079156187441540;
}
else if level == 5
{
w.resize(63, 0.0);
w[ 0] = 0.000363221481845530659694;
w[ 1] = 0.00126515655623006801137;
w[ 2] = 0.00257904979468568827243;
w[ 3] = 0.00421763044155885483908;
w[ 4] = 0.00611550682211724633968;
w[ 5] = 0.00822300795723592966926;
w[ 6] = 0.0104982469096213218983;
w[ 7] = 0.0129038001003512656260;
w[ 8] = 0.0154067504665594978021;
w[ 9] = 0.0179785515681282703329;
w[10] = 0.0205942339159127111492;
w[11] = 0.0232314466399102694433;
w[12] = 0.0258696793272147469108;
w[13] = 0.0284897547458335486125;
w[14] = 0.0310735511116879648799;
w[15] = 0.0336038771482077305417;
w[16] = 0.0360644327807825726401;
w[17] = 0.0384398102494555320386;
w[18] = 0.0407155101169443189339;
w[19] = 0.0428779600250077344929;
w[20] = 0.0449145316536321974143;
w[21] = 0.0468135549906280124026;
w[22] = 0.0485643304066731987159;
w[23] = 0.0501571393058995374137;
w[24] = 0.0515832539520484587768;
w[25] = 0.0528349467901165198621;
w[26] = 0.0539054993352660639269;
w[27] = 0.0547892105279628650322;
w[28] = 0.0554814043565593639878;
w[29] = 0.0559784365104763194076;
w[30] = 0.0562776998312543012726;
w[31] = 0.0563776283603847173877;
w[32] = 0.0562776998312543012726;
w[33] = 0.0559784365104763194076;
w[34] = 0.0554814043565593639878;
w[35] = 0.0547892105279628650322;
w[36] = 0.0539054993352660639269;
w[37] = 0.0528349467901165198621;
w[38] = 0.0515832539520484587768;
w[39] = 0.0501571393058995374137;
w[40] = 0.0485643304066731987159;
w[41] = 0.0468135549906280124026;
w[42] = 0.0449145316536321974143;
w[43] = 0.0428779600250077344929;
w[44] = 0.0407155101169443189339;
w[45] = 0.0384398102494555320386;
w[46] = 0.0360644327807825726401;
w[47] = 0.0336038771482077305417;
w[48] = 0.0310735511116879648799;
w[49] = 0.0284897547458335486125;
w[50] = 0.0258696793272147469108;
w[51] = 0.0232314466399102694433;
w[52] = 0.0205942339159127111492;
w[53] = 0.0179785515681282703329;
w[54] = 0.0154067504665594978021;
w[55] = 0.0129038001003512656260;
w[56] = 0.0104982469096213218983;
w[57] = 0.00822300795723592966926;
w[58] = 0.00611550682211724633968;
w[59] = 0.00421763044155885483908;
w[60] = 0.00257904979468568827243;
w[61] = 0.00126515655623006801137;
w[62] = 0.000363221481845530659694;
}
else if level == 6
{
w.resize(127, 0.0);
w[ 0] = 0.0000505360952078625176247;
w[ 1] = 0.000180739564445388357820;
w[ 2] = 0.000377746646326984660274;
w[ 3] = 0.000632607319362633544219;
w[ 4] = 0.000938369848542381500794;
w[ 5] = 0.00128952408261041739210;
w[ 6] = 0.00168114286542146990631;
w[ 7] = 0.00210881524572663287933;
w[ 8] = 0.00256876494379402037313;
w[ 9] = 0.00305775341017553113613;
w[ 10] = 0.00357289278351729964938;
w[ 11] = 0.00411150397865469304717;
w[ 12] = 0.00467105037211432174741;
w[ 13] = 0.00524912345480885912513;
w[ 14] = 0.00584344987583563950756;
w[ 15] = 0.00645190005017573692280;
w[ 16] = 0.00707248999543355546805;
w[ 17] = 0.00770337523327974184817;
w[ 18] = 0.00834283875396815770558;
w[ 19] = 0.00898927578406413572328;
w[ 20] = 0.00964117772970253669530;
w[ 21] = 0.0102971169579563555237;
w[ 22] = 0.0109557333878379016480;
w[ 23] = 0.0116157233199551347270;
w[ 24] = 0.0122758305600827700870;
w[ 25] = 0.0129348396636073734547;
w[ 26] = 0.0135915710097655467896;
w[ 27] = 0.0142448773729167743063;
w[ 28] = 0.0148936416648151820348;
w[ 29] = 0.0155367755558439824399;
w[ 30] = 0.0161732187295777199419;
w[ 31] = 0.0168019385741038652709;
w[ 32] = 0.0174219301594641737472;
w[ 33] = 0.0180322163903912863201;
w[ 34] = 0.0186318482561387901863;
w[ 35] = 0.0192199051247277660193;
w[ 36] = 0.0197954950480974994880;
w[ 37] = 0.0203577550584721594669;
w[ 38] = 0.0209058514458120238522;
w[ 39] = 0.0214389800125038672465;
w[ 40] = 0.0219563663053178249393;
w[ 41] = 0.0224572658268160987071;
w[ 42] = 0.0229409642293877487608;
w[ 43] = 0.0234067774953140062013;
w[ 44] = 0.0238540521060385400804;
w[ 45] = 0.0242821652033365993580;
w[ 46] = 0.0246905247444876769091;
w[ 47] = 0.0250785696529497687068;
w[ 48] = 0.0254457699654647658126;
w[ 49] = 0.0257916269760242293884;
w[ 50] = 0.0261156733767060976805;
w[ 51] = 0.0264174733950582599310;
w[ 52] = 0.0266966229274503599062;
w[ 53] = 0.0269527496676330319634;
w[ 54] = 0.0271855132296247918192;
w[ 55] = 0.0273946052639814325161;
w[ 56] = 0.0275797495664818730349;
w[ 57] = 0.0277407021782796819939;
w[ 58] = 0.0278772514766137016085;
w[ 59] = 0.0279892182552381597038;
w[ 60] = 0.0280764557938172466068;
w[ 61] = 0.0281388499156271506363;
w[ 62] = 0.0281763190330166021307;
w[ 63] = 0.0281888141801923586938;
w[ 64] = 0.0281763190330166021307;
w[ 65] = 0.0281388499156271506363;
w[ 66] = 0.0280764557938172466068;
w[ 67] = 0.0279892182552381597038;
w[ 68] = 0.0278772514766137016085;
w[ 69] = 0.0277407021782796819939;
w[ 70] = 0.0275797495664818730349;
w[ 71] = 0.0273946052639814325161;
w[ 72] = 0.0271855132296247918192;
w[ 73] = 0.0269527496676330319634;
w[ 74] = 0.0266966229274503599062;
w[ 75] = 0.0264174733950582599310;
w[ 76] = 0.0261156733767060976805;
w[ 77] = 0.0257916269760242293884;
w[ 78] = 0.0254457699654647658126;
w[ 79] = 0.0250785696529497687068;
w[ 80] = 0.0246905247444876769091;
w[ 81] = 0.0242821652033365993580;
w[ 82] = 0.0238540521060385400804;
w[ 83] = 0.0234067774953140062013;
w[ 84] = 0.0229409642293877487608;
w[ 85] = 0.0224572658268160987071;
w[ 86] = 0.0219563663053178249393;
w[ 87] = 0.0214389800125038672465;
w[ 88] = 0.0209058514458120238522;
w[ 89] = 0.0203577550584721594669;
w[ 90] = 0.0197954950480974994880;
w[ 91] = 0.0192199051247277660193;
w[ 92] = 0.0186318482561387901863;
w[ 93] = 0.0180322163903912863201;
w[ 94] = 0.0174219301594641737472;
w[ 95] = 0.0168019385741038652709;
w[ 96] = 0.0161732187295777199419;
w[ 97] = 0.0155367755558439824399;
w[ 98] = 0.0148936416648151820348;
w[ 99] = 0.0142448773729167743063;
w[100] = 0.0135915710097655467896;
w[101] = 0.0129348396636073734547;
w[102] = 0.0122758305600827700870;
w[103] = 0.0116157233199551347270;
w[104] = 0.0109557333878379016480;
w[105] = 0.0102971169579563555237;
w[106] = 0.00964117772970253669530;
w[107] = 0.00898927578406413572328;
w[108] = 0.00834283875396815770558;
w[109] = 0.00770337523327974184817;
w[110] = 0.00707248999543355546805;
w[111] = 0.00645190005017573692280;
w[112] = 0.00584344987583563950756;
w[113] = 0.00524912345480885912513;
w[114] = 0.00467105037211432174741;
w[115] = 0.00411150397865469304717;
w[116] = 0.00357289278351729964938;
w[117] = 0.00305775341017553113613;
w[118] = 0.00256876494379402037313;
w[119] = 0.00210881524572663287933;
w[120] = 0.00168114286542146990631;
w[121] = 0.00128952408261041739210;
w[122] = 0.000938369848542381500794;
w[123] = 0.000632607319362633544219;
w[124] = 0.000377746646326984660274;
w[125] = 0.000180739564445388357820;
w[126] = 0.0000505360952078625176247;
}
else if level == 7
{
w.resize(255, 0.0);
w[ 0] = 0.69379364324108267170E-05;
w[ 1] = 0.25157870384280661489E-04;
w[ 2] = 0.53275293669780613125E-04;
w[ 3] = 0.90372734658751149261E-04;
w[ 4] = 0.13575491094922871973E-03;
w[ 5] = 0.18887326450650491366E-03;
w[ 6] = 0.24921240048299729402E-03;
w[ 7] = 0.31630366082226447689E-03;
w[ 8] = 0.38974528447328229322E-03;
w[ 9] = 0.46918492424785040975E-03;
w[ 10] = 0.55429531493037471492E-03;
w[ 11] = 0.64476204130572477933E-03;
w[ 12] = 0.74028280424450333046E-03;
w[ 13] = 0.84057143271072246365E-03;
w[ 14] = 0.94536151685852538246E-03;
w[ 15] = 0.10544076228633167722E-02;
w[ 16] = 0.11674841174299594077E-02;
w[ 17] = 0.12843824718970101768E-02;
w[ 18] = 0.14049079956551446427E-02;
w[ 19] = 0.15288767050877655684E-02;
w[ 20] = 0.16561127281544526052E-02;
w[ 21] = 0.17864463917586498247E-02;
w[ 22] = 0.19197129710138724125E-02;
w[ 23] = 0.20557519893273465236E-02;
w[ 24] = 0.21944069253638388388E-02;
w[ 25] = 0.23355251860571608737E-02;
w[ 26] = 0.24789582266575679307E-02;
w[ 27] = 0.26245617274044295626E-02;
w[ 28] = 0.27721957645934509940E-02;
w[ 29] = 0.29217249379178197538E-02;
w[ 30] = 0.30730184347025783234E-02;
w[ 31] = 0.32259500250878684614E-02;
w[ 32] = 0.33803979910869203823E-02;
w[ 33] = 0.35362449977167777340E-02;
w[ 34] = 0.36933779170256508183E-02;
w[ 35] = 0.38516876166398709241E-02;
w[ 36] = 0.40110687240750233989E-02;
w[ 37] = 0.41714193769840788528E-02;
w[ 38] = 0.43326409680929828545E-02;
w[ 39] = 0.44946378920320678616E-02;
w[ 40] = 0.46573172997568547773E-02;
w[ 41] = 0.48205888648512683476E-02;
w[ 42] = 0.49843645647655386012E-02;
w[ 43] = 0.51485584789781777618E-02;
w[ 44] = 0.53130866051870565663E-02;
w[ 45] = 0.54778666939189508240E-02;
w[ 46] = 0.56428181013844441585E-02;
w[ 47] = 0.58078616599775673635E-02;
w[ 48] = 0.59729195655081658049E-02;
w[ 49] = 0.61379152800413850435E-02;
w[ 50] = 0.63027734490857587172E-02;
w[ 51] = 0.64674198318036867274E-02;
w[ 52] = 0.66317812429018878941E-02;
w[ 53] = 0.67957855048827733948E-02;
w[ 54] = 0.69593614093904229394E-02;
w[ 55] = 0.71224386864583871532E-02;
w[ 56] = 0.72849479805538070639E-02;
w[ 57] = 0.74468208324075910174E-02;
w[ 58] = 0.76079896657190565832E-02;
w[ 59] = 0.77683877779219912200E-02;
w[ 60] = 0.79279493342948491103E-02;
w[ 61] = 0.80866093647888599710E-02;
w[ 62] = 0.82443037630328680306E-02;
w[ 63] = 0.84009692870519326354E-02;
w[ 64] = 0.85565435613076896192E-02;
w[ 65] = 0.87109650797320868736E-02;
w[ 66] = 0.88641732094824942641E-02;
w[ 67] = 0.90161081951956431600E-02;
w[ 68] = 0.91667111635607884067E-02;
w[ 69] = 0.93159241280693950932E-02;
w[ 70] = 0.94636899938300652943E-02;
w[ 71] = 0.96099525623638830097E-02;
w[ 72] = 0.97546565363174114611E-02;
w[ 73] = 0.98977475240487497440E-02;
w[ 74] = 0.10039172044056840798E-01;
w[ 75] = 0.10178877529236079733E-01;
w[ 76] = 0.10316812330947621682E-01;
w[ 77] = 0.10452925722906011926E-01;
w[ 78] = 0.10587167904885197931E-01;
w[ 79] = 0.10719490006251933623E-01;
w[ 80] = 0.10849844089337314099E-01;
w[ 81] = 0.10978183152658912470E-01;
w[ 82] = 0.11104461134006926537E-01;
w[ 83] = 0.11228632913408049354E-01;
w[ 84] = 0.11350654315980596602E-01;
w[ 85] = 0.11470482114693874380E-01;
w[ 86] = 0.11588074033043952568E-01;
w[ 87] = 0.11703388747657003101E-01;
w[ 88] = 0.11816385890830235763E-01;
w[ 89] = 0.11927026053019270040E-01;
w[ 90] = 0.12035270785279562630E-01;
w[ 91] = 0.12141082601668299679E-01;
w[ 92] = 0.12244424981611985899E-01;
w[ 93] = 0.12345262372243838455E-01;
w[ 94] = 0.12443560190714035263E-01;
w[ 95] = 0.12539284826474884353E-01;
w[ 96] = 0.12632403643542078765E-01;
w[ 97] = 0.12722884982732382906E-01;
w[ 98] = 0.12810698163877361967E-01;
w[ 99] = 0.12895813488012114694E-01;
w[100] = 0.12978202239537399286E-01;
w[101] = 0.13057836688353048840E-01;
w[102] = 0.13134690091960152836E-01;
w[103] = 0.13208736697529129966E-01;
w[104] = 0.13279951743930530650E-01;
w[105] = 0.13348311463725179953E-01;
w[106] = 0.13413793085110098513E-01;
w[107] = 0.13476374833816515982E-01;
w[108] = 0.13536035934956213614E-01;
w[109] = 0.13592756614812395910E-01;
w[110] = 0.13646518102571291428E-01;
w[111] = 0.13697302631990716258E-01;
w[112] = 0.13745093443001896632E-01;
w[113] = 0.13789874783240936517E-01;
w[114] = 0.13831631909506428676E-01;
w[115] = 0.13870351089139840997E-01;
w[116] = 0.13906019601325461264E-01;
w[117] = 0.13938625738306850804E-01;
w[118] = 0.13968158806516938516E-01;
w[119] = 0.13994609127619079852E-01;
w[120] = 0.14017968039456608810E-01;
w[121] = 0.14038227896908623303E-01;
w[122] = 0.14055382072649964277E-01;
w[123] = 0.14069424957813575318E-01;
w[124] = 0.14080351962553661325E-01;
w[125] = 0.14088159516508301065E-01;
w[126] = 0.14092845069160408355E-01;
w[127] = 0.14094407090096179347E-01;
w[128] = 0.14092845069160408355E-01;
w[129] = 0.14088159516508301065E-01;
w[130] = 0.14080351962553661325E-01;
w[131] = 0.14069424957813575318E-01;
w[132] = 0.14055382072649964277E-01;
w[133] = 0.14038227896908623303E-01;
w[134] = 0.14017968039456608810E-01;
w[135] = 0.13994609127619079852E-01;
w[136] = 0.13968158806516938516E-01;
w[137] = 0.13938625738306850804E-01;
w[138] = 0.13906019601325461264E-01;
w[139] = 0.13870351089139840997E-01;
w[140] = 0.13831631909506428676E-01;
w[141] = 0.13789874783240936517E-01;
w[142] = 0.13745093443001896632E-01;
w[143] = 0.13697302631990716258E-01;
w[144] = 0.13646518102571291428E-01;
w[145] = 0.13592756614812395910E-01;
w[146] = 0.13536035934956213614E-01;
w[147] = 0.13476374833816515982E-01;
w[148] = 0.13413793085110098513E-01;
w[149] = 0.13348311463725179953E-01;
w[150] = 0.13279951743930530650E-01;
w[151] = 0.13208736697529129966E-01;
w[152] = 0.13134690091960152836E-01;
w[153] = 0.13057836688353048840E-01;
w[154] = 0.12978202239537399286E-01;
w[155] = 0.12895813488012114694E-01;
w[156] = 0.12810698163877361967E-01;
w[157] = 0.12722884982732382906E-01;
w[158] = 0.12632403643542078765E-01;
w[159] = 0.12539284826474884353E-01;
w[160] = 0.12443560190714035263E-01;
w[161] = 0.12345262372243838455E-01;
w[162] = 0.12244424981611985899E-01;
w[163] = 0.12141082601668299679E-01;
w[164] = 0.12035270785279562630E-01;
w[165] = 0.11927026053019270040E-01;
w[166] = 0.11816385890830235763E-01;
w[167] = 0.11703388747657003101E-01;
w[168] = 0.11588074033043952568E-01;
w[169] = 0.11470482114693874380E-01;
w[170] = 0.11350654315980596602E-01;
w[171] = 0.11228632913408049354E-01;
w[172] = 0.11104461134006926537E-01;
w[173] = 0.10978183152658912470E-01;
w[174] = 0.10849844089337314099E-01;
w[175] = 0.10719490006251933623E-01;
w[176] = 0.10587167904885197931E-01;
w[177] = 0.10452925722906011926E-01;
w[178] = 0.10316812330947621682E-01;
w[179] = 0.10178877529236079733E-01;
w[180] = 0.10039172044056840798E-01;
w[181] = 0.98977475240487497440E-02;
w[182] = 0.97546565363174114611E-02;
w[183] = 0.96099525623638830097E-02;
w[184] = 0.94636899938300652943E-02;
w[185] = 0.93159241280693950932E-02;
w[186] = 0.91667111635607884067E-02;
w[187] = 0.90161081951956431600E-02;
w[188] = 0.88641732094824942641E-02;
w[189] = 0.87109650797320868736E-02;
w[190] = 0.85565435613076896192E-02;
w[191] = 0.84009692870519326354E-02;
w[192] = 0.82443037630328680306E-02;
w[193] = 0.80866093647888599710E-02;
w[194] = 0.79279493342948491103E-02;
w[195] = 0.77683877779219912200E-02;
w[196] = 0.76079896657190565832E-02;
w[197] = 0.74468208324075910174E-02;
w[198] = 0.72849479805538070639E-02;
w[199] = 0.71224386864583871532E-02;
w[200] = 0.69593614093904229394E-02;
w[201] = 0.67957855048827733948E-02;
w[202] = 0.66317812429018878941E-02;
w[203] = 0.64674198318036867274E-02;
w[204] = 0.63027734490857587172E-02;
w[205] = 0.61379152800413850435E-02;
w[206] = 0.59729195655081658049E-02;
w[207] = 0.58078616599775673635E-02;
w[208] = 0.56428181013844441585E-02;
w[209] = 0.54778666939189508240E-02;
w[210] = 0.53130866051870565663E-02;
w[211] = 0.51485584789781777618E-02;
w[212] = 0.49843645647655386012E-02;
w[213] = 0.48205888648512683476E-02;
w[214] = 0.46573172997568547773E-02;
w[215] = 0.44946378920320678616E-02;
w[216] = 0.43326409680929828545E-02;
w[217] = 0.41714193769840788528E-02;
w[218] = 0.40110687240750233989E-02;
w[219] = 0.38516876166398709241E-02;
w[220] = 0.36933779170256508183E-02;
w[221] = 0.35362449977167777340E-02;
w[222] = 0.33803979910869203823E-02;
w[223] = 0.32259500250878684614E-02;
w[224] = 0.30730184347025783234E-02;
w[225] = 0.29217249379178197538E-02;
w[226] = 0.27721957645934509940E-02;
w[227] = 0.26245617274044295626E-02;
w[228] = 0.24789582266575679307E-02;
w[229] = 0.23355251860571608737E-02;
w[230] = 0.21944069253638388388E-02;
w[231] = 0.20557519893273465236E-02;
w[232] = 0.19197129710138724125E-02;
w[233] = 0.17864463917586498247E-02;
w[234] = 0.16561127281544526052E-02;
w[235] = 0.15288767050877655684E-02;
w[236] = 0.14049079956551446427E-02;
w[237] = 0.12843824718970101768E-02;
w[238] = 0.11674841174299594077E-02;
w[239] = 0.10544076228633167722E-02;
w[240] = 0.94536151685852538246E-03;
w[241] = 0.84057143271072246365E-03;
w[242] = 0.74028280424450333046E-03;
w[243] = 0.64476204130572477933E-03;
w[244] = 0.55429531493037471492E-03;
w[245] = 0.46918492424785040975E-03;
w[246] = 0.38974528447328229322E-03;
w[247] = 0.31630366082226447689E-03;
w[248] = 0.24921240048299729402E-03;
w[249] = 0.18887326450650491366E-03;
w[250] = 0.13575491094922871973E-03;
w[251] = 0.90372734658751149261E-04;
w[252] = 0.53275293669780613125E-04;
w[253] = 0.25157870384280661489E-04;
w[254] = 0.69379364324108267170E-05;
}
else if level == 8
{
w.resize(511, 0.0);
w[ 0] = 0.945715933950007048827E-06;
w[ 1] = 0.345456507169149134898E-05;
w[ 2] = 0.736624069102321668857E-05;
w[ 3] = 0.125792781889592743525E-04;
w[ 4] = 0.190213681905875816679E-04;
w[ 5] = 0.266376412339000901358E-04;
w[ 6] = 0.353751372055189588628E-04;
w[ 7] = 0.451863674126296143105E-04;
w[ 8] = 0.560319507856164252140E-04;
w[ 9] = 0.678774554733972416227E-04;
w[ 10] = 0.806899228014035293851E-04;
w[ 11] = 0.944366322532705527066E-04;
w[ 12] = 0.109085545645741522051E-03;
w[ 13] = 0.124606200241498368482E-03;
w[ 14] = 0.140970302204104791413E-03;
w[ 15] = 0.158151830411132242924E-03;
w[ 16] = 0.176126765545083195474E-03;
w[ 17] = 0.194872642236641146532E-03;
w[ 18] = 0.214368090034216937149E-03;
w[ 19] = 0.234592462123925204879E-03;
w[ 20] = 0.255525589595236862014E-03;
w[ 21] = 0.277147657465187357459E-03;
w[ 22] = 0.299439176850911730874E-03;
w[ 23] = 0.322381020652862389664E-03;
w[ 24] = 0.345954492129903871350E-03;
w[ 25] = 0.370141402122251665232E-03;
w[ 26] = 0.394924138246873704434E-03;
w[ 27] = 0.420285716355361231823E-03;
w[ 28] = 0.446209810101403247488E-03;
w[ 29] = 0.472680758429262691232E-03;
w[ 30] = 0.499683553312800484519E-03;
w[ 31] = 0.527203811431658386125E-03;
w[ 32] = 0.555227733977307579715E-03;
w[ 33] = 0.583742058714979703847E-03;
w[ 34] = 0.612734008012225209294E-03;
w[ 35] = 0.642191235948505088403E-03;
w[ 36] = 0.672101776960108194646E-03;
w[ 37] = 0.702453997827572321358E-03;
w[ 38] = 0.733236554224767912055E-03;
w[ 39] = 0.764438352543882784191E-03;
w[ 40] = 0.796048517297550871506E-03;
w[ 41] = 0.828056364077226302608E-03;
w[ 42] = 0.860451377808527848128E-03;
w[ 43] = 0.893223195879324912340E-03;
w[ 44] = 0.926361595613111283368E-03;
w[ 45] = 0.959856485506936206261E-03;
w[ 46] = 0.993697899638760857945E-03;
w[ 47] = 0.102787599466367326179E-02;
w[ 48] = 0.106238104885340071375E-02;
w[ 49] = 0.109720346268191941940E-02;
w[ 50] = 0.113233376051597664917E-02;
w[ 51] = 0.116776259302858043685E-02;
w[ 52] = 0.120348074001265964881E-02;
w[ 53] = 0.123947911332878396534E-02;
w[ 54] = 0.127574875977346947345E-02;
w[ 55] = 0.131228086370221478128E-02;
w[ 56] = 0.134906674928353113127E-02;
w[ 57] = 0.138609788229672549700E-02;
w[ 58] = 0.142336587141720519900E-02;
w[ 59] = 0.146086246895890987689E-02;
w[ 60] = 0.149857957106456636214E-02;
w[ 61] = 0.153650921735128916170E-02;
w[ 62] = 0.157464359003212166189E-02;
w[ 63] = 0.161297501254393423070E-02;
w[ 64] = 0.165149594771914570655E-02;
w[ 65] = 0.169019899554346019117E-02;
w[ 66] = 0.172907689054461607168E-02;
w[ 67] = 0.176812249885838886701E-02;
w[ 68] = 0.180732881501808930079E-02;
w[ 69] = 0.184668895851282540913E-02;
w[ 70] = 0.188619617015808475394E-02;
w[ 71] = 0.192584380831993546204E-02;
w[ 72] = 0.196562534503150547732E-02;
w[ 73] = 0.200553436203751169944E-02;
w[ 74] = 0.204556454679958293446E-02;
w[ 75] = 0.208570968849203942640E-02;
w[ 76] = 0.212596367401472533045E-02;
w[ 77] = 0.216632048404649142727E-02;
w[ 78] = 0.220677418916003329194E-02;
w[ 79] = 0.224731894601603393082E-02;
w[ 80] = 0.228794899365195972378E-02;
w[ 81] = 0.232865864987842738864E-02;
w[ 82] = 0.236944230779380495146E-02;
w[ 83] = 0.241029443242563417382E-02;
w[ 84] = 0.245120955750556483923E-02;
w[ 85] = 0.249218228238276930060E-02;
w[ 86] = 0.253320726907925325750E-02;
w[ 87] = 0.257427923948908888092E-02;
w[ 88] = 0.261539297272236109225E-02;
w[ 89] = 0.265654330259352828314E-02;
w[ 90] = 0.269772511525294586667E-02;
w[ 91] = 0.273893334695947541201E-02;
w[ 92] = 0.278016298199139435045E-02;
w[ 93] = 0.282140905069222207923E-02;
w[ 94] = 0.286266662764757868253E-02;
w[ 95] = 0.290393082998878368175E-02;
w[ 96] = 0.294519681581857582284E-02;
w[ 97] = 0.298645978275408290247E-02;
w[ 98] = 0.302771496658198544480E-02;
w[ 99] = 0.306895764002069252174E-02;
w[100] = 0.311018311158427546158E-02;
w[101] = 0.315138672454287935858E-02;
w[102] = 0.319256385597434736790E-02;
w[103] = 0.323370991590184336368E-02;
w[104] = 0.327482034651233969564E-02;
w[105] = 0.331589062145094394706E-02;
w[106] = 0.335691624518616761342E-02;
w[107] = 0.339789275244138669739E-02;
w[108] = 0.343881570768790591876E-02;
w[109] = 0.347968070469521146972E-02;
w[110] = 0.352048336613417922682E-02;
w[111] = 0.356121934322919357659E-02;
w[112] = 0.360188431545532431869E-02;
w[113] = 0.364247399027690353194E-02;
w[114] = 0.368298410292403911967E-02;
w[115] = 0.372341041620379550870E-02;
w[116] = 0.376374872034296338241E-02;
w[117] = 0.380399483285952829161E-02;
w[118] = 0.384414459846013158917E-02;
w[119] = 0.388419388896099560998E-02;
w[120] = 0.392413860322995774660E-02;
w[121] = 0.396397466714742455513E-02;
w[122] = 0.400369803358421688562E-02;
w[123] = 0.404330468239442998549E-02;
w[124] = 0.408279062042157838350E-02;
w[125] = 0.412215188151643401528E-02;
w[126] = 0.416138452656509745764E-02;
w[127] = 0.420048464352596631772E-02;
w[128] = 0.423944834747438184434E-02;
w[129] = 0.427827178065384480959E-02;
w[130] = 0.431695111253279479928E-02;
w[131] = 0.435548253986604343679E-02;
w[132] = 0.439386228676004195260E-02;
w[133] = 0.443208660474124713206E-02;
w[134] = 0.447015177282692726900E-02;
w[135] = 0.450805409759782158001E-02;
w[136] = 0.454578991327213285488E-02;
w[137] = 0.458335558178039420335E-02;
w[138] = 0.462074749284080687482E-02;
w[139] = 0.465796206403469754658E-02;
w[140] = 0.469499574088179046532E-02;
w[141] = 0.473184499691503264714E-02;
w[142] = 0.476850633375474925263E-02;
w[143] = 0.480497628118194150483E-02;
w[144] = 0.484125139721057135214E-02;
w[145] = 0.487732826815870573054E-02;
w[146] = 0.491320350871841897367E-02;
w[147] = 0.494887376202437487201E-02;
w[148] = 0.498433569972103029914E-02;
w[149] = 0.501958602202842039909E-02;
w[150] = 0.505462145780650125058E-02;
w[151] = 0.508943876461803986674E-02;
w[152] = 0.512403472879005351831E-02;
w[153] = 0.515840616547381084096E-02;
w[154] = 0.519254991870341614863E-02;
w[155] = 0.522646286145300596306E-02;
w[156] = 0.526014189569259311205E-02;
w[157] = 0.529358395244259896547E-02;
w[158] = 0.532678599182711857974E-02;
w[159] = 0.535974500312596681161E-02;
w[160] = 0.539245800482555593606E-02;
w[161] = 0.542492204466865704951E-02;
w[162] = 0.545713419970309863995E-02;
w[163] = 0.548909157632945623482E-02;
w[164] = 0.552079131034778706457E-02;
w[165] = 0.555223056700346326850E-02;
w[166] = 0.558340654103215637610E-02;
w[167] = 0.561431645670402467678E-02;
w[168] = 0.564495756786715368885E-02;
w[169] = 0.567532715799029830087E-02;
w[170] = 0.570542254020497332312E-02;
w[171] = 0.573524105734693719020E-02;
w[172] = 0.576478008199711142954E-02;
w[173] = 0.579403701652197628421E-02;
w[174] = 0.582300929311348057702E-02;
w[175] = 0.585169437382850155033E-02;
w[176] = 0.588008975062788803205E-02;
w[177] = 0.590819294541511788161E-02;
w[178] = 0.593600151007459827614E-02;
w[179] = 0.596351302650963502011E-02;
w[180] = 0.599072510668009471472E-02;
w[181] = 0.601763539263978131522E-02;
w[182] = 0.604424155657354634589E-02;
w[183] = 0.607054130083414983949E-02;
w[184] = 0.609653235797888692923E-02;
w[185] = 0.612221249080599294931E-02;
w[186] = 0.614757949239083790214E-02;
w[187] = 0.617263118612191922727E-02;
w[188] = 0.619736542573665996342E-02;
w[189] = 0.622178009535701763157E-02;
w[190] = 0.624587310952490748541E-02;
w[191] = 0.626964241323744217671E-02;
w[192] = 0.629308598198198836688E-02;
w[193] = 0.631620182177103938227E-02;
w[194] = 0.633898796917690165912E-02;
w[195] = 0.636144249136619145314E-02;
w[196] = 0.638356348613413709795E-02;
w[197] = 0.640534908193868098342E-02;
w[198] = 0.642679743793437438922E-02;
w[199] = 0.644790674400605734710E-02;
w[200] = 0.646867522080231481688E-02;
w[201] = 0.648910111976869964292E-02;
w[202] = 0.650918272318071200827E-02;
w[203] = 0.652891834417652442012E-02;
w[204] = 0.654830632678944064054E-02;
w[205] = 0.656734504598007641819E-02;
w[206] = 0.658603290766824937794E-02;
w[207] = 0.660436834876456498276E-02;
w[208] = 0.662234983720168509457E-02;
w[209] = 0.663997587196526532519E-02;
w[210] = 0.665724498312454708217E-02;
w[211] = 0.667415573186258997654E-02;
w[212] = 0.669070671050613006584E-02;
w[213] = 0.670689654255504925648E-02;
w[214] = 0.672272388271144108036E-02;
w[215] = 0.673818741690825799086E-02;
w[216] = 0.675328586233752529078E-02;
w[217] = 0.676801796747810680683E-02;
w[218] = 0.678238251212300746082E-02;
w[219] = 0.679637830740619795480E-02;
w[220] = 0.681000419582894688374E-02;
w[221] = 0.682325905128564571420E-02;
w[222] = 0.683614177908911221841E-02;
w[223] = 0.684865131599535812903E-02;
w[224] = 0.686078663022780697951E-02;
w[225] = 0.687254672150094831613E-02;
w[226] = 0.688393062104341470995E-02;
w[227] = 0.689493739162046825872E-02;
w[228] = 0.690556612755588354803E-02;
w[229] = 0.691581595475321433825E-02;
w[230] = 0.692568603071643155621E-02;
w[231] = 0.693517554456992049848E-02;
w[232] = 0.694428371707782549438E-02;
w[233] = 0.695300980066273063177E-02;
w[234] = 0.696135307942366551493E-02;
w[235] = 0.696931286915342540213E-02;
w[236] = 0.697688851735519545845E-02;
w[237] = 0.698407940325846925786E-02;
w[238] = 0.699088493783425207545E-02;
w[239] = 0.699730456380953992594E-02;
w[240] = 0.700333775568106572820E-02;
w[241] = 0.700898401972830440494E-02;
w[242] = 0.701424289402572916425E-02;
w[243] = 0.701911394845431165171E-02;
w[244] = 0.702359678471225911031E-02;
w[245] = 0.702769103632498213858E-02;
w[246] = 0.703139636865428709508E-02;
w[247] = 0.703471247890678765907E-02;
w[248] = 0.703763909614153052319E-02;
w[249] = 0.704017598127683066242E-02;
w[250] = 0.704232292709631209597E-02;
w[251] = 0.704407975825415053266E-02;
w[252] = 0.704544633127951476780E-02;
w[253] = 0.704642253458020417748E-02;
w[254] = 0.704700828844548013730E-02;
w[255] = 0.704720354504808967346E-02;
w[256] = 0.704700828844548013730E-02;
w[257] = 0.704642253458020417748E-02;
w[258] = 0.704544633127951476780E-02;
w[259] = 0.704407975825415053266E-02;
w[260] = 0.704232292709631209597E-02;
w[261] = 0.704017598127683066242E-02;
w[262] = 0.703763909614153052319E-02;
w[263] = 0.703471247890678765907E-02;
w[264] = 0.703139636865428709508E-02;
w[265] = 0.702769103632498213858E-02;
w[266] = 0.702359678471225911031E-02;
w[267] = 0.701911394845431165171E-02;
w[268] = 0.701424289402572916425E-02;
w[269] = 0.700898401972830440494E-02;
w[270] = 0.700333775568106572820E-02;
w[271] = 0.699730456380953992594E-02;
w[272] = 0.699088493783425207545E-02;
w[273] = 0.698407940325846925786E-02;
w[274] = 0.697688851735519545845E-02;
w[275] = 0.696931286915342540213E-02;
w[276] = 0.696135307942366551493E-02;
w[277] = 0.695300980066273063177E-02;
w[278] = 0.694428371707782549438E-02;
w[279] = 0.693517554456992049848E-02;
w[280] = 0.692568603071643155621E-02;
w[281] = 0.691581595475321433825E-02;
w[282] = 0.690556612755588354803E-02;
w[283] = 0.689493739162046825872E-02;
w[284] = 0.688393062104341470995E-02;
w[285] = 0.687254672150094831613E-02;
w[286] = 0.686078663022780697951E-02;
w[287] = 0.684865131599535812903E-02;
w[288] = 0.683614177908911221841E-02;
w[289] = 0.682325905128564571420E-02;
w[290] = 0.681000419582894688374E-02;
w[291] = 0.679637830740619795480E-02;
w[292] = 0.678238251212300746082E-02;
w[293] = 0.676801796747810680683E-02;
w[294] = 0.675328586233752529078E-02;
w[295] = 0.673818741690825799086E-02;
w[296] = 0.672272388271144108036E-02;
w[297] = 0.670689654255504925648E-02;
w[298] = 0.669070671050613006584E-02;
w[299] = 0.667415573186258997654E-02;
w[300] = 0.665724498312454708217E-02;
w[301] = 0.663997587196526532519E-02;
w[302] = 0.662234983720168509457E-02;
w[303] = 0.660436834876456498276E-02;
w[304] = 0.658603290766824937794E-02;
w[305] = 0.656734504598007641819E-02;
w[306] = 0.654830632678944064054E-02;
w[307] = 0.652891834417652442012E-02;
w[308] = 0.650918272318071200827E-02;
w[309] = 0.648910111976869964292E-02;
w[310] = 0.646867522080231481688E-02;
w[311] = 0.644790674400605734710E-02;
w[312] = 0.642679743793437438922E-02;
w[313] = 0.640534908193868098342E-02;
w[314] = 0.638356348613413709795E-02;
w[315] = 0.636144249136619145314E-02;
w[316] = 0.633898796917690165912E-02;
w[317] = 0.631620182177103938227E-02;
w[318] = 0.629308598198198836688E-02;
w[319] = 0.626964241323744217671E-02;
w[320] = 0.624587310952490748541E-02;
w[321] = 0.622178009535701763157E-02;
w[322] = 0.619736542573665996342E-02;
w[323] = 0.617263118612191922727E-02;
w[324] = 0.614757949239083790214E-02;
w[325] = 0.612221249080599294931E-02;
w[326] = 0.609653235797888692923E-02;
w[327] = 0.607054130083414983949E-02;
w[328] = 0.604424155657354634589E-02;
w[329] = 0.601763539263978131522E-02;
w[330] = 0.599072510668009471472E-02;
w[331] = 0.596351302650963502011E-02;
w[332] = 0.593600151007459827614E-02;
w[333] = 0.590819294541511788161E-02;
w[334] = 0.588008975062788803205E-02;
w[335] = 0.585169437382850155033E-02;
w[336] = 0.582300929311348057702E-02;
w[337] = 0.579403701652197628421E-02;
w[338] = 0.576478008199711142954E-02;
w[339] = 0.573524105734693719020E-02;
w[340] = 0.570542254020497332312E-02;
w[341] = 0.567532715799029830087E-02;
w[342] = 0.564495756786715368885E-02;
w[343] = 0.561431645670402467678E-02;
w[344] = 0.558340654103215637610E-02;
w[345] = 0.555223056700346326850E-02;
w[346] = 0.552079131034778706457E-02;
w[347] = 0.548909157632945623482E-02;
w[348] = 0.545713419970309863995E-02;
w[349] = 0.542492204466865704951E-02;
w[350] = 0.539245800482555593606E-02;
w[351] = 0.535974500312596681161E-02;
w[352] = 0.532678599182711857974E-02;
w[353] = 0.529358395244259896547E-02;
w[354] = 0.526014189569259311205E-02;
w[355] = 0.522646286145300596306E-02;
w[356] = 0.519254991870341614863E-02;
w[357] = 0.515840616547381084096E-02;
w[358] = 0.512403472879005351831E-02;
w[359] = 0.508943876461803986674E-02;
w[360] = 0.505462145780650125058E-02;
w[361] = 0.501958602202842039909E-02;
w[362] = 0.498433569972103029914E-02;
w[363] = 0.494887376202437487201E-02;
w[364] = 0.491320350871841897367E-02;
w[365] = 0.487732826815870573054E-02;
w[366] = 0.484125139721057135214E-02;
w[367] = 0.480497628118194150483E-02;
w[368] = 0.476850633375474925263E-02;
w[369] = 0.473184499691503264714E-02;
w[370] = 0.469499574088179046532E-02;
w[371] = 0.465796206403469754658E-02;
w[372] = 0.462074749284080687482E-02;
w[373] = 0.458335558178039420335E-02;
w[374] = 0.454578991327213285488E-02;
w[375] = 0.450805409759782158001E-02;
w[376] = 0.447015177282692726900E-02;
w[377] = 0.443208660474124713206E-02;
w[378] = 0.439386228676004195260E-02;
w[379] = 0.435548253986604343679E-02;
w[380] = 0.431695111253279479928E-02;
w[381] = 0.427827178065384480959E-02;
w[382] = 0.423944834747438184434E-02;
w[383] = 0.420048464352596631772E-02;
w[384] = 0.416138452656509745764E-02;
w[385] = 0.412215188151643401528E-02;
w[386] = 0.408279062042157838350E-02;
w[387] = 0.404330468239442998549E-02;
w[388] = 0.400369803358421688562E-02;
w[389] = 0.396397466714742455513E-02;
w[390] = 0.392413860322995774660E-02;
w[391] = 0.388419388896099560998E-02;
w[392] = 0.384414459846013158917E-02;
w[393] = 0.380399483285952829161E-02;
w[394] = 0.376374872034296338241E-02;
w[395] = 0.372341041620379550870E-02;
w[396] = 0.368298410292403911967E-02;
w[397] = 0.364247399027690353194E-02;
w[398] = 0.360188431545532431869E-02;
w[399] = 0.356121934322919357659E-02;
w[400] = 0.352048336613417922682E-02;
w[401] = 0.347968070469521146972E-02;
w[402] = 0.343881570768790591876E-02;
w[403] = 0.339789275244138669739E-02;
w[404] = 0.335691624518616761342E-02;
w[405] = 0.331589062145094394706E-02;
w[406] = 0.327482034651233969564E-02;
w[407] = 0.323370991590184336368E-02;
w[408] = 0.319256385597434736790E-02;
w[409] = 0.315138672454287935858E-02;
w[410] = 0.311018311158427546158E-02;
w[411] = 0.306895764002069252174E-02;
w[412] = 0.302771496658198544480E-02;
w[413] = 0.298645978275408290247E-02;
w[414] = 0.294519681581857582284E-02;
w[415] = 0.290393082998878368175E-02;
w[416] = 0.286266662764757868253E-02;
w[417] = 0.282140905069222207923E-02;
w[418] = 0.278016298199139435045E-02;
w[419] = 0.273893334695947541201E-02;
w[420] = 0.269772511525294586667E-02;
w[421] = 0.265654330259352828314E-02;
w[422] = 0.261539297272236109225E-02;
w[423] = 0.257427923948908888092E-02;
w[424] = 0.253320726907925325750E-02;
w[425] = 0.249218228238276930060E-02;
w[426] = 0.245120955750556483923E-02;
w[427] = 0.241029443242563417382E-02;
w[428] = 0.236944230779380495146E-02;
w[429] = 0.232865864987842738864E-02;
w[430] = 0.228794899365195972378E-02;
w[431] = 0.224731894601603393082E-02;
w[432] = 0.220677418916003329194E-02;
w[433] = 0.216632048404649142727E-02;
w[434] = 0.212596367401472533045E-02;
w[435] = 0.208570968849203942640E-02;
w[436] = 0.204556454679958293446E-02;
w[437] = 0.200553436203751169944E-02;
w[438] = 0.196562534503150547732E-02;
w[439] = 0.192584380831993546204E-02;
w[440] = 0.188619617015808475394E-02;
w[441] = 0.184668895851282540913E-02;
w[442] = 0.180732881501808930079E-02;
w[443] = 0.176812249885838886701E-02;
w[444] = 0.172907689054461607168E-02;
w[445] = 0.169019899554346019117E-02;
w[446] = 0.165149594771914570655E-02;
w[447] = 0.161297501254393423070E-02;
w[448] = 0.157464359003212166189E-02;
w[449] = 0.153650921735128916170E-02;
w[450] = 0.149857957106456636214E-02;
w[451] = 0.146086246895890987689E-02;
w[452] = 0.142336587141720519900E-02;
w[453] = 0.138609788229672549700E-02;
w[454] = 0.134906674928353113127E-02;
w[455] = 0.131228086370221478128E-02;
w[456] = 0.127574875977346947345E-02;
w[457] = 0.123947911332878396534E-02;
w[458] = 0.120348074001265964881E-02;
w[459] = 0.116776259302858043685E-02;
w[460] = 0.113233376051597664917E-02;
w[461] = 0.109720346268191941940E-02;
w[462] = 0.106238104885340071375E-02;
w[463] = 0.102787599466367326179E-02;
w[464] = 0.993697899638760857945E-03;
w[465] = 0.959856485506936206261E-03;
w[466] = 0.926361595613111283368E-03;
w[467] = 0.893223195879324912340E-03;
w[468] = 0.860451377808527848128E-03;
w[469] = 0.828056364077226302608E-03;
w[470] = 0.796048517297550871506E-03;
w[471] = 0.764438352543882784191E-03;
w[472] = 0.733236554224767912055E-03;
w[473] = 0.702453997827572321358E-03;
w[474] = 0.672101776960108194646E-03;
w[475] = 0.642191235948505088403E-03;
w[476] = 0.612734008012225209294E-03;
w[477] = 0.583742058714979703847E-03;
w[478] = 0.555227733977307579715E-03;
w[479] = 0.527203811431658386125E-03;
w[480] = 0.499683553312800484519E-03;
w[481] = 0.472680758429262691232E-03;
w[482] = 0.446209810101403247488E-03;
w[483] = 0.420285716355361231823E-03;
w[484] = 0.394924138246873704434E-03;
w[485] = 0.370141402122251665232E-03;
w[486] = 0.345954492129903871350E-03;
w[487] = 0.322381020652862389664E-03;
w[488] = 0.299439176850911730874E-03;
w[489] = 0.277147657465187357459E-03;
w[490] = 0.255525589595236862014E-03;
w[491] = 0.234592462123925204879E-03;
w[492] = 0.214368090034216937149E-03;
w[493] = 0.194872642236641146532E-03;
w[494] = 0.176126765545083195474E-03;
w[495] = 0.158151830411132242924E-03;
w[496] = 0.140970302204104791413E-03;
w[497] = 0.124606200241498368482E-03;
w[498] = 0.109085545645741522051E-03;
w[499] = 0.944366322532705527066E-04;
w[500] = 0.806899228014035293851E-04;
w[501] = 0.678774554733972416227E-04;
w[502] = 0.560319507856164252140E-04;
w[503] = 0.451863674126296143105E-04;
w[504] = 0.353751372055189588628E-04;
w[505] = 0.266376412339000901358E-04;
w[506] = 0.190213681905875816679E-04;
w[507] = 0.125792781889592743525E-04;
w[508] = 0.736624069102321668857E-05;
w[509] = 0.345456507169149134898E-05;
w[510] = 0.945715933950007048827E-06;
}
else
{
panic!("Gauss-Patterson only supported for level <= 8!")
}
for wi in w.iter_mut()
{
*wi *= 0.5;
}
w
}