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4485 lines (4469 loc) · 144 KB
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namespace Wholemy {
public class PathSource {
#region #field# Atan0125
public static readonly double[] Atan0125 = new double[] {
0.1243549945467614350313548, // atan 0.125
0.2449786631268641541720824, // atan 0.25
0.3587706702705722203959200, // atan 0.375
0.4636476090008061162142562, // atan 0.5
0.5585993153435624359715082, // atan 0.625
0.6435011087932843868028092, // atan 0.75
0.7188299996216245054170141, // atan 0.875
0.7853981633974483096156608, // atan 1
0.8441539861131710025178441, // atan 1.125
0.8960553845713439561748007, // atan 1.25
0.9420000403794636647379371, // atan 1.375
0.9827937232473290679857106, // atan 1.5
1.0191413442663497346383429, // atan 1.625
1.0516502125483736674598673, // atan 1.75
1.0808390005411683108871567, // atan 1.875
1.1071487177940905030170654, // atan 2
1.1309537439791604464709335, // atan 2.125
1.1525719972156675180401498, // atan 2.25
1.1722738811284763866005949, // atan 2.375
1.1902899496825317329277337, // atan 2.5
1.2068173702852525303955115, // atan 2.625
1.2220253232109896370417417, // atan 2.75
1.2360594894780819419094519, // atan 2.875
1.2490457723982544258299170, // atan 3
1.2610933822524404193139408, // atan 3.125
1.2722973952087173412961937, // atan 3.25
1.2827408797442707473628852, // atan 3.375
1.2924966677897852679030914, // atan 3.5
1.3016288340091961438047858, // atan 3.625
1.3101939350475556342564376, // atan 3.75
1.3182420510168370498593302, // atan 3.875
1.3258176636680324650592392, // atan 4
1.3329603993374458675538498, // atan 4.125
1.3397056595989995393283037, // atan 4.25
1.3460851583802539310489409, // atan 4.375
1.3521273809209546571891479, // atan 4.5
1.3578579772154994751124898, // atan 4.625
1.3633001003596939542892985, // atan 4.75
1.3684746984165928776366381, // atan 4.875
1.3734007669450158608612719, // atan 5
1.3780955681325110444536609, // atan 5.125
1.3825748214901258580599674, // atan 5.25
1.3868528702577214543289381, // atan 5.375
1.3909428270024183486427686, // atan 5.5
1.3948567013423687823948122, // atan 5.625
1.3986055122719575950126700, // atan 5.75
1.4021993871854670105330304, // atan 5.875
1.4056476493802697809521934, // atan 6
1.4089588955564736949699075, // atan 6.125
1.4121410646084952153676136, // atan 6.25
1.4152014988178669079462550, // atan 6.375
1.4181469983996314594038603, // atan 6.5
1.4209838702219992566633046, // atan 6.625
1.4237179714064941189018190, // atan 6.75
1.4263547484202526397918060, // atan 6.875
1.4288992721907326964184700, // atan 7
1.4313562697035588982240194, // atan 7.125
1.4337301524847089866404719, // atan 7.25
1.4360250423171655234964275, // atan 7.375
1.4382447944982225979614042, // atan 7.5
1.4403930189057632173997301, // atan 7.625
1.4424730991091018200252920, // atan 7.75
1.4444882097316563655148453 // atan 7.875
};
#endregion
#region #field# SinCosTanMul
/// <summary>Массив пар множителей единицы, в двое больше чем максимальная длина)</summary>
private static double[] SinCosTanMul;
#endregion
#region #field# SinCosTanMax
/// <summary>Максимальная вычисленная длина множителей)</summary>
private static int SinCosTanMax;
#endregion
#region #field# SinCosTanDiv
///// <summary>Массив пар целочисленных делителей, в двое больше чем максимальная длина)</summary>
//private static uint[][] SinCosTanDiv;
#endregion
#region #method# SinCosTanGen
/// <summary>Генератор опорных множителей и целочисленных множителей для синусов, косинусов и тангенсов)</summary>
private static int SinCosTanGen() {
uint P = 3;
var A = new double[200];
//var B = new uint[200][];
var I = 0;
var FA = new uint[100];
var FF = 2ul;
var FI = 0;
var J = 0;
while (I < 100 && FI < 98) {
var PP = (P++ * P++); var FP = FF * PP;
if (FP > uint.MaxValue) { FA[++FI] = (uint)(FF = PP); } else { FA[FI] = (uint)(FF = FP); }
//var BA = new uint[FI + 1];
//System.Array.Copy(FA, BA, FI + 1);
var XA = 1.0;
for (var fi = 0; fi <= FI; fi++) { XA /= FA[fi]; }
PP = (P++ * P++); FP = FF * PP;
if (FP > uint.MaxValue) { FA[++FI] = (uint)(FF = PP); } else { FA[FI] = (uint)(FF = FP); }
//var BB = new uint[FI + 1];
//System.Array.Copy(FA, BB, FI + 1);
var XB = 1.0;
for (var fi = 0; fi <= FI; fi++) { XB /= FA[fi]; }
if (XA == 0 || XB == 0) break;
//B[J] = BA;
A[J++] = XA;
//B[J] = BB;
A[J++] = XB;
I++;
}
SinCosTanMax = I;
System.Array.Resize(ref A, J);
SinCosTanMul = A;
//System.Array.Resize(ref B, J);
//SinCosTanDiv = B;
return I;
}
#endregion
#region #method# TAtanOfTan(X)
/// <summary>Функция возвращает обратный тангенс угла)</summary>
public static double TAtanOfTan(double X) {
if (X == 0) return 0;
var M = false;
if (X < 0) { X = -X; M = true; }
var RX = X;
var L = false;
var Y = 0;
var R = 0.0;
if (X >= 8.0) { L = true; X = 1.0 / X; goto Next; }
Y = (int)(X * 8);
if (Y < 0) Y++;
var XX = Y / 8.0;
X = (X - XX) / (X * XX + 1);
Next:
XX = X * X;
var C = (((13852575 * XX + 216602100) * XX + 891080190) * XX + 1332431100) * XX + 654729075;
var B = ((((893025 * XX + 49116375) * XX + 425675250) * XX + 1277025750) * XX + 1550674125) * XX + 654729075;
R += (C / B) * X;
if (Y > 0) {
R += Atan0125[--Y];
}
if (L) R = (System.Math.PI / 2.0) - R;
var tan = TTan(R);
var dif = RX - tan;
var sum = 0.0;
var posdif = +dif;
while (dif != 0) {
sum += dif;
var RR = TAtan1(RX + sum);
tan = TTan(RR);
dif = RX - tan;
var nex = +dif;
if (nex < posdif) {
R = RR;
posdif = nex;
} else { break; }
}
var max = 17;
while (dif < 0 && max-- > 0) {
sum += dif;
R = TAtan1(RX + sum);
tan = TTan(R);
dif = RX - tan;
}
max = 17;
while (dif > 0 && max-- > 0) {
sum += dif;
R = TAtan1(RX + sum);
tan = TTan(R);
dif = RX - tan;
}
tan = TTan(R);
dif = RX - tan;
sum = 0.0;
posdif = +dif;
while (dif != 0) {
sum += dif;
var RR = TAtan1(RX + sum);
tan = TTan(RR);
dif = RX - tan;
var nex = +dif;
if (nex < posdif) {
R = RR;
posdif = nex;
} else { break; }
}
if (R < 0) R = +R;
return M ? -R : R;
}
#endregion
#region #method# TAtanOfTan2(Y, X)
[System.Runtime.CompilerServices.MethodImpl(System.Runtime.CompilerServices.MethodImplOptions.AggressiveInlining)]
public static double TAtanOfTan2(double Y, double X) {
if (X == 0.0) {
if (Y == 0.0) return 0.0;
else if (Y > 0) return System.Math.PI / 2.0; else return -(System.Math.PI / 2.0);
}
var A = TAtanOfTan(Y / X);
if (X < 0.0) {
if (Y >= 0.0) A += System.Math.PI; else A -= System.Math.PI;
}
return A;
}
#endregion
#region #method# TAtan(X)
/// <summary>Функция возвращает обратный тангенс угла)</summary>
public static double TAtan(double X) {
if (X == 0) return 0;
var M = false;
if (X < 0) { X = -X; M = true; }
var L = false;
var Y = 0;
var R = 0.0;
if (X >= 8.0) { L = true; X = 1.0 / X; goto Next; }
Y = (int)(X * 8);
if (Y < 0) Y++;
var XX = Y / 8.0;
X = (X - XX) / (X * XX + 1);
Next:
XX = X * X;
var C = (((13852575 * XX + 216602100) * XX + 891080190) * XX + 1332431100) * XX + 654729075;
var B = ((((893025 * XX + 49116375) * XX + 425675250) * XX + 1277025750) * XX + 1550674125) * XX + 654729075;
R += (C / B) * X;
if (Y > 0) {
R += Atan0125[--Y];
}
if (L) R = (System.Math.PI / 2.0) - R;
return M ? -R : R;
}
#endregion
#region #private# #method# TAtan1(X)
private static double TAtan1(double X) {
if (X == 0) return 0;
var M = false;
if (X < 0) { X = -X; M = true; }
var I = false;
if (X > 1) { X = 1.0 / X; I = true; }
var XX = X * X;
var C = (((13852575 * XX + 216602100) * XX + 891080190) * XX + 1332431100) * XX + 654729075;
var B = ((((893025 * XX + 49116375) * XX + 425675250) * XX + 1277025750) * XX + 1550674125) * XX + 654729075;
var R = (C / B) * X;
if (I) R = (System.Math.PI / 2.0) - R;
return M ? -R : R;
}
#endregion
#region #method# TAtan2(Y, X)
[System.Runtime.CompilerServices.MethodImpl(System.Runtime.CompilerServices.MethodImplOptions.AggressiveInlining)]
public static double TAtan2(double Y, double X) {
if (X == 0.0) {
if (Y == 0.0) return 0.0;
else if (Y > 0) return System.Math.PI / 2.0; else return -(System.Math.PI / 2.0);
}
var A = TAtan(Y / X);
if (X < 0.0) {
if (Y >= 0.0) A += System.Math.PI; else A -= System.Math.PI;
}
return A;
}
#endregion
#region #method# TAsin(X)
public static double TAsin(double X) {
if (X < 0) X = -X;
if (X > 1) return 1;
return TAtan2(X, Sqrt(1 - X * X));
}
#endregion
#region #method# TCos(X)
public static double TCos(double X) {
if (X < 0) { X = -X; }
if (X > System.Math.PI * 2) {
var XP = X / (System.Math.PI * 2);
X = System.Math.PI * 2 * (XP - (int)XP);
}
var M = (X > System.Math.PI / 2 && X <= System.Math.PI / 2 * 3);
var XX = X * X;
var XXX = XX;
var R = 1 - (XX / 2);
var I = 0;
var J = 0;
var Max = SinCosTanMax;
while (Max == 0) { Max = SinCosTanGen(); }
var A = new double[Max];
var Mul = SinCosTanMul;
while (I < Max) {
var XXA = XXX *= XX;
var XXB = XXX *= XX;
if (XXA == 0 && XXB == 0) break;
XXA *= Mul[J++]; XXB *= Mul[J++];
if (XXA == 0 && XXB == 0) break;
A[I++] = XXA - XXB;
}
var RR = 0.0;
if (I > 0) {
RR = A[--I];
while (I > 0) {
RR += A[--I];
}
}
R += RR;
//var XX = X * X;
//var XXX = XX;
//var R = 1 - (XX / 2);
//var _0 = (XXX *= XX) / 24 - (XXX *= XX) / 720; // 24=(2*3*4) 720=(2*3*4*5*6)
//var _1 = (XXX *= XX) / 40320 - (XXX *= XX) / 3628800;
//var _2 = (XXX *= XX) / 479001600 - (XXX *= XX) / 87178291200;
//var _3 = (XXX *= XX) / 20922789888000 - (XXX *= XX) / 6402373705728000;
//var _4 = (XXX *= XX) / 2432902008176640000 - (XXX *= XX) / 2432902008176640000 / 506; // 506=(22*23);
///// 303600=(22*23*24*25) 213127200=(22*23*24*25*26*27)
//var _5 = (XXX *= XX) / 2432902008176640000 / 303600 - (XXX *= XX) / 2432902008176640000 / 213127200;
///// 173059286400=(22*23*24*25*26*27*28*29) 160945136352000=(22*23*24*25*26*27*28*29*30*31)
//var _6 = (XXX *= XX) / 2432902008176640000 / 173059286400 - (XXX *= XX) / 2432902008176640000 / 160945136352000;
///// 1056=(32*33) 1256640=(32*33*34*35)
//var _7 = (XXX *= XX) / 2432902008176640000 / 160945136352000 / 1056 - (XXX *= XX) / 2432902008176640000 / 160945136352000 / 1256640;
///// 1673844480=(32*33*34*35*36*37) 2480637519360=(32*33*34*35*36*37*38*39)
//var _8 = (XXX *= XX) / 2432902008176640000 / 160945136352000 / 1673844480 - (XXX *= XX) / 2432902008176640000 / 160945136352000 / 2480637519360;
///// 4068245531750400=(32*33*34*35*36*37*38*39*40*41) 7347251430341222400=(32*33*34*35*36*37*38*39*40*41*42*43)
//var _9 = (XXX *= XX) / 2432902008176640000 / 160945136352000 / 4068245531750400 - (XXX *= XX) / 2432902008176640000 / 160945136352000 / 7347251430341222400;
//R = _9 + _8 + _7 + _6 + _5 + _4 + _3 + _2 + _1 + _0 + R;
if (R < 0) R = -R;
if (M) R = -R;
return R;
}
#endregion
#region #method# TSin(X)
public static double TSin(double X) {
X -= System.Math.PI / 2;
if (X < 0) { X = -X; }
if (X > System.Math.PI * 2) {
var XP = X / (System.Math.PI * 2);
X = System.Math.PI * 2 * (XP - (int)XP);
}
var M = (X > System.Math.PI / 2 && X <= System.Math.PI / 2 * 3);
var XX = X * X;
var XXX = XX;
var R = 1 - (XX / 2);
var I = 0;
var J = 0;
var Max = SinCosTanMax;
while (Max == 0) { Max = SinCosTanGen(); }
var A = new double[Max];
var Mul = SinCosTanMul;
while (I < Max) {
var XXA = XXX *= XX;
var XXB = XXX *= XX;
if (XXA == 0 && XXB == 0) break;
XXA *= Mul[J++]; XXB *= Mul[J++];
if (XXA == 0 && XXB == 0) break;
A[I++] = XXA - XXB;
}
var RR = 0.0;
if (I > 0) {
RR = A[--I];
while (I > 0) {
RR += A[--I];
}
}
R += RR;
//var XX = X * X;
//var XXX = XX;
//var R = 1 - (XX / 2);
//var _0 = (XXX *= XX) / 24 - (XXX *= XX) / 720; // 24=(2*3*4) 720=(2*3*4*5*6)
//var _1 = (XXX *= XX) / 40320 - (XXX *= XX) / 3628800;
//var _2 = (XXX *= XX) / 479001600 - (XXX *= XX) / 87178291200;
//var _3 = (XXX *= XX) / 20922789888000 - (XXX *= XX) / 6402373705728000;
//var _4 = (XXX *= XX) / 2432902008176640000 - (XXX *= XX) / 2432902008176640000 / 506; // 506=(22*23);
///// 303600=(22*23*24*25) 213127200=(22*23*24*25*26*27)
//var _5 = (XXX *= XX) / 2432902008176640000 / 303600 - (XXX *= XX) / 2432902008176640000 / 213127200;
///// 173059286400=(22*23*24*25*26*27*28*29) 160945136352000=(22*23*24*25*26*27*28*29*30*31)
//var _6 = (XXX *= XX) / 2432902008176640000 / 173059286400 - (XXX *= XX) / 2432902008176640000 / 160945136352000;
///// 1056=(32*33) 1256640=(32*33*34*35)
//var _7 = (XXX *= XX) / 2432902008176640000 / 160945136352000 / 1056 - (XXX *= XX) / 2432902008176640000 / 160945136352000 / 1256640;
///// 1673844480=(32*33*34*35*36*37) 2480637519360=(32*33*34*35*36*37*38*39)
//var _8 = (XXX *= XX) / 2432902008176640000 / 160945136352000 / 1673844480 - (XXX *= XX) / 2432902008176640000 / 160945136352000 / 2480637519360;
///// 4068245531750400=(32*33*34*35*36*37*38*39*40*41) 7347251430341222400=(32*33*34*35*36*37*38*39*40*41*42*43)
//var _9 = (XXX *= XX) / 2432902008176640000 / 160945136352000 / 4068245531750400 - (XXX *= XX) / 2432902008176640000 / 160945136352000 / 7347251430341222400;
//R = _9 + _8 + _7 + _6 + _5 + _4 + _3 + _2 + _1 + _0 + R;
if (R < 0) R = -R;
if (M) R = -R;
//if (Test < 0 && !M) throw new System.InvalidOperationException();
return R;
}
#endregion
#region #method# TSinCos(X)
[System.Runtime.CompilerServices.MethodImpl(System.Runtime.CompilerServices.MethodImplOptions.AggressiveInlining)]
public static void TSinCos(double X, out double Sin, out double Cos) {
var S = false;
var C = 0.0;
Next:
if (S) X -= System.Math.PI / 2;
var x = X;
if (x < 0) { x = -x; }
if (x > System.Math.PI * 2) {
var XP = x / (System.Math.PI * 2);
x = System.Math.PI * 2 * (XP - (int)XP);
}
var M = (x > System.Math.PI / 2 && x <= System.Math.PI / 2 * 3);
var XX = x * x;
var XXX = XX;
var R = 1 - (XX / 2);
var I = 0;
var J = 0;
var Max = SinCosTanMax;
while (Max == 0) { Max = SinCosTanGen(); }
var A = new double[Max];
var Mul = SinCosTanMul;
while (I < Max) {
var XXA = XXX *= XX;
var XXB = XXX *= XX;
if (XXA == 0 && XXB == 0) break;
XXA *= Mul[J++]; XXB *= Mul[J++];
if (XXA == 0 && XXB == 0) break;
A[I++] = XXA - XXB;
}
var RR = 0.0;
if (I > 0) {
RR = A[--I];
while (I > 0) {
RR += A[--I];
}
}
R += RR;
//XX = x * x;
//XXX = XX;
//var _0 = (XXX *= XX) / 24 - (XXX *= XX) / 720; // 24=(2*3*4) 720=(2*3*4*5*6)
//var _1 = (XXX *= XX) / 40320 - (XXX *= XX) / 3628800;
//var _2 = (XXX *= XX) / 479001600 - (XXX *= XX) / 87178291200;
//var _3 = (XXX *= XX) / 20922789888000 - (XXX *= XX) / 6402373705728000;
//var _4 = (XXX *= XX) / 2432902008176640000 - (XXX *= XX) / 2432902008176640000 / 506; // 506=(22*23);
///// 303600=(22*23*24*25) 213127200=(22*23*24*25*26*27)
//var _5 = (XXX *= XX) / 2432902008176640000 / 303600 - (XXX *= XX) / 2432902008176640000 / 213127200;
///// 173059286400=(22*23*24*25*26*27*28*29) 160945136352000=(22*23*24*25*26*27*28*29*30*31)
//var _6 = (XXX *= XX) / 2432902008176640000 / 173059286400 - (XXX *= XX) / 2432902008176640000 / 160945136352000;
///// 1056=(32*33) 1256640=(32*33*34*35)
//var _7 = (XXX *= XX) / 2432902008176640000 / 160945136352000 / 1056 - (XXX *= XX) / 2432902008176640000 / 160945136352000 / 1256640;
///// 1673844480=(32*33*34*35*36*37) 2480637519360=(32*33*34*35*36*37*38*39)
//var _8 = (XXX *= XX) / 2432902008176640000 / 160945136352000 / 1673844480 - (XXX *= XX) / 2432902008176640000 / 160945136352000 / 2480637519360;
///// 4068245531750400=(32*33*34*35*36*37*38*39*40*41) 7347251430341222400=(32*33*34*35*36*37*38*39*40*41*42*43)
//var _9 = (XXX *= XX) / 2432902008176640000 / 160945136352000 / 4068245531750400 - (XXX *= XX) / 2432902008176640000 / 160945136352000 / 7347251430341222400;
//R = _9 + _8 + _7 + _6 + _5 + _4 + _3 + _2 + _1 + _0 + R;
if (R < 0) R = -R;
if (M) R = -R;
if (!S) { C = R; S = true; goto Next; }
Cos = C;
Sin = R;
}
#endregion
#region #method# TTan(X)
public static double TTan(double X) {
var S = false;
var C = 0.0;
Next:
if (S) X -= System.Math.PI / 2;
var x = X;
if (x < 0) { x = -x; }
if (x > System.Math.PI * 2) {
var XP = x / (System.Math.PI * 2);
x = System.Math.PI * 2 * (XP - (int)XP);
}
var M = (x > System.Math.PI / 2 && x <= System.Math.PI / 2 * 3);
var XX = x * x;
var XXX = XX;
var R = 1 - (XX / 2);
var I = 0;
var J = 0;
var Max = SinCosTanMax;
while (Max == 0) { Max = SinCosTanGen(); }
var A = new double[Max];
var Mul = SinCosTanMul;
while (I < Max) {
var XXA = XXX *= XX;
var XXB = XXX *= XX;
if (XXA == 0 && XXB == 0) break;
XXA *= Mul[J++]; XXB *= Mul[J++];
if (XXA == 0 && XXB == 0) break;
A[I++] = XXA - XXB;
}
var RR = 0.0;
if (I > 0) {
RR = A[--I];
while (I > 0) {
RR += A[--I];
}
}
R += RR;
//var XX = x * x;
//var XXX = XX;
//var R = 1 - (XX / 2);
//var _0 = (XXX *= XX) / 24 - (XXX *= XX) / 720; // 24=(2*3*4) 720=(2*3*4*5*6)
//var _1 = (XXX *= XX) / 40320 - (XXX *= XX) / 3628800;
//var _2 = (XXX *= XX) / 479001600 - (XXX *= XX) / 87178291200;
//var _3 = (XXX *= XX) / 20922789888000 - (XXX *= XX) / 6402373705728000;
//var _4 = (XXX *= XX) / 2432902008176640000 - (XXX *= XX) / 2432902008176640000 / 506; // 506=(22*23);
///// 303600=(22*23*24*25) 213127200=(22*23*24*25*26*27)
//var _5 = (XXX *= XX) / 2432902008176640000 / 303600 - (XXX *= XX) / 2432902008176640000 / 213127200;
///// 173059286400=(22*23*24*25*26*27*28*29) 160945136352000=(22*23*24*25*26*27*28*29*30*31)
//var _6 = (XXX *= XX) / 2432902008176640000 / 173059286400 - (XXX *= XX) / 2432902008176640000 / 160945136352000;
///// 1056=(32*33) 1256640=(32*33*34*35)
//var _7 = (XXX *= XX) / 2432902008176640000 / 160945136352000 / 1056 - (XXX *= XX) / 2432902008176640000 / 160945136352000 / 1256640;
///// 1673844480=(32*33*34*35*36*37) 2480637519360=(32*33*34*35*36*37*38*39)
//var _8 = (XXX *= XX) / 2432902008176640000 / 160945136352000 / 1673844480 - (XXX *= XX) / 2432902008176640000 / 160945136352000 / 2480637519360;
///// 4068245531750400=(32*33*34*35*36*37*38*39*40*41) 7347251430341222400=(32*33*34*35*36*37*38*39*40*41*42*43)
//var _9 = (XXX *= XX) / 2432902008176640000 / 160945136352000 / 4068245531750400 - (XXX *= XX) / 2432902008176640000 / 160945136352000 / 7347251430341222400;
//R = _9 + _8 + _7 + _6 + _5 + _4 + _3 + _2 + _1 + _0 + R;
if (R < 0) R = -R;
if (M) R = -R;
if (!S) { C = R; S = true; goto Next; }
R /= C;
return R;
}
#endregion
#region #method# TCot(x)
public static double TCot(double x) {
return (1.0 / TTan(x));
}
#endregion
#region #method# IntersectLines(ax0, ay0, ax1, ay1, bx0, by0, bx1, by1, x, y)
public static bool IntersectLines(double ax0, double ay0, double ax1, double ay1, double bx0, double by0, double bx1, double by1, ref double x, ref double y) {
var a = (bx1 - bx0) * (ay0 - by0) - (by1 - by0) * (ax0 - bx0);
var b = (ax1 - ax0) * (ay0 - by0) - (ay1 - ay0) * (ax0 - bx0);
var c = (by1 - by0) * (ax1 - ax0) - (bx1 - bx0) * (ay1 - ay0);
if (c != 0.0) {
var ua = a / c;
var ub = b / c;
if (0.0 <= ua && ua <= 1.0 && 0.0 <= ub && ub <= 1.0) {
x = ax0 + ua * (ax1 - ax0);
y = ay0 + ua * (ay1 - ay0);
return true;
} else {
return false;
}
} else {
return false;
if (a == 0 || b == 0) {
//result = new Intersection("Coincident");
} else {
//result = new Intersection("Parallel");
}
}
}
#endregion
#region #method# Rotate1(CX, CY, BX, BY, AR)
/// <summary>Поворачивает координаты #double# вокруг центра по корню четверти круга
/// где 90 градусов равно значению 0.25, а 360 градусов равно значению 1)</summary>
/// <param name="CX">Центр по оси X)</param>
/// <param name="CY">Центр по оси Y)</param>
/// <param name="BX">Старт и возвращаемый результат поворота по оси X)</param>
/// <param name="BY">Старт и возвращаемый результат поворота по оси Y)</param>
/// <param name="AR">Корень четверти от 0.0 до 1.0 отрицательная в обратную сторону)</param>
public static void Rotate1(double CX, double CY, ref double BX, ref double BY, double AR) {
if (AR == 0) return;
var TX = BX - CX;
var TY = BY - CY;
if (TX == 0 && TY == 0) return;
var PI = System.Math.PI * 2 * AR;
TSinCos(PI, out var SiN, out var CoS);
var X = (CoS * TX - SiN * TY + CX);
var Y = (SiN * TX + CoS * TY + CY);
BX = X;
BY = Y;
}
#endregion
#region #method# GetaR1(CX, CY, BX, BY, AX, AY)
/// <summary>Возвращает корень поворота от 0.0 до 1.0)</summary>
/// <param name="CX">Центр по оси X)</param>
/// <param name="CY">Центр по оси Y)</param>
/// <param name="BX">Старт по оси X)</param>
/// <param name="BY">Старт по оси Y)</param>
/// <param name="AX">Конец по оси X)</param>
/// <param name="AY">Конец по оси Y)</param>
/// <returns>Возвращает корень поворота от 0.0 до 1.0)</returns>
public static double GetaR1(double CX, double CY, double BX, double BY, double AX, double AY) {
//var A = TAtan2(AY - CY, AX - CX);
//var B = TAtan2(BY - CY, BX - CX);
var R = (0.5 / System.Math.PI) * (TAtan2(AY - CY, AX - CX) - TAtan2(BY - CY, BX - CX));
if (R < 0) R += 1.0;
return R;
}
#endregion
#region #method# Sqrt(X)
public static double Sqrt(double X) {
if (X == 0) return 0; if (X < 0) return 1;
var PS = 0.0;
var SS = X * 2 / X;
var SSS = (SS - (X / SS)) / 2u;
while (!double.IsNaN(SSS) && SSS != PS) {
SS -= SSS;
PS = SSS;
SSS = (SS - (X / SS)) / 2u;
}
return SS;
}
#endregion
#region #method# Sqrt(X, Y)
public static double Sqrt(double X, double Y) {
var S = X * X + Y * Y;
if (S == 0) return 0; if (S < 0) return 1;
var PS = 0.0;
var SS = S * 2 / S;
var SSS = (SS - (S / SS)) / 2u;
while (!double.IsNaN(SSS) && SSS != PS) {
SS -= SSS;
PS = SSS;
SSS = (SS - (S / SS)) / 2u;
}
return SS;
}
#endregion
#region #method# RootOffset(x, y, X, Y)
public static double RootOffset(double x, double y, out double X, out double Y) {
var L = Sqrt(x * x + y * y);
X = -y / L;
Y = x / L;
return L;
}
#endregion
#region #method# SetMulLen(MX, MY, EX, EY, Value)
public static double SetMulLen(double MX, double MY, ref double EX, ref double EY, double Value) {
var L = Sqrt(MX - EX, MY - EY);
if (L > 0) {
Value *= L;
EX = MX + (EX - MX) / L * Value;
EY = MY + (EY - MY) / L * Value;
}
return Value;
}
#endregion
#region #static# #method# Inline(X0, Y0, X1, Y1, X2, Y2)
public static bool Inline(double X0, double Y0, double X1, double Y1, double X2, double Y2) {
var l01 = Sqrt(X0 - X1, Y0 - Y1);
var l02 = Sqrt(X0 - X2, Y0 - Y2);
var l12 = Sqrt(X1 - X2, Y1 - Y2);
var R = 1.0;
if (l01 >= l02 && l01 >= l12) { R = l01 - (l02 + l12); }
if (l02 >= l01 && l02 >= l12) { R = l02 - (l01 + l12); }
if (l12 >= l01 && l12 >= l02) { R = l12 - (l01 + l02); }
return R > -0.000001 && R < 0.000001;
}
#endregion
#region #static# #method# Inline(X0, Y0, X1, Y1, X2, Y2, X3, Y3)
public static bool Inline(double X0, double Y0, double X1, double Y1, double X2, double Y2, double X3, double Y3) {
return Inline(X0, Y0, X1, Y1, X2, Y2) && Inline(X1, Y1, X2, Y2, X3, Y3);
}
#endregion
#region #static# #method# DivRoots(Roots)
public static double[] DivRoots(double[] Roots = null) {
if (Roots != null) {
var L = Roots.Length;
var R = new double[L];
var I = 0;
var P = 0.0;
while (I < L) {
var A = Roots[I];
var S = (A - P) / (1.0 - P);
R[I] = S;
P = A;
I++;
}
return R;
}
return null;
}
#endregion
#region #static# #method# AddRoots(A, Roots)
public static double[] AddRoots(double A, double[] Roots = null) {
if (double.IsNaN(A) || A <= 0.0 || A >= 1.0) return Roots;
if (Roots == null) Roots = new double[] { A };
var L = Roots.Length;
var I = 0;
var R = 0;
if (L == 0) Roots = new double[] { A };
while (I < L) {
var B = Roots[I];
if (A == B) return Roots;
if (B < A) { R = I + 1; } else { break; }
I++;
}
var NewRoots = new double[L + 1];
if (R > 0) System.Array.Copy(Roots, NewRoots, R);
NewRoots[I] = A;
if (I < L) System.Array.Copy(Roots, I, NewRoots, I + 1, L - I);
return NewRoots;
}
#endregion
#region #static# #method# AddBoxRoots(A, B, C, Roots)
public static double[] AddBoxRoots(double A, double B, double C, double[] Roots = null) {
var D = A - (B * 2) + C;
if (D != 0.0) {
var L = Sqrt(B * B - A * C);
if (!double.IsNaN(L)) {
C = -A + B;
A = -(-L + C) / D;
B = -(L + C) / D;
Roots = AddRoots(A, Roots);
Roots = AddRoots(B, Roots);
}
}
return Roots;
}
#endregion
#region #readonly# #field # Arc14
public static readonly double Arc14 = 4.0 / 3 * TTan(System.Math.PI / 8);
#endregion
#region #field# PrevPath
#region #invisible#
#if TRACE
[System.Diagnostics.DebuggerBrowsable(System.Diagnostics.DebuggerBrowsableState.Never)]
#endif
#endregion
private System.Windows.Media.Geometry PrevPath;
#endregion
#region #field# PrevMode
#region #invisible#
#if TRACE
[System.Diagnostics.DebuggerBrowsable(System.Diagnostics.DebuggerBrowsableState.Never)]
#endif
#endregion
private System.Windows.Media.GeometryCombineMode PrevMode;
#endregion
#region #method# Combine(Mode)
public void Combine(System.Windows.Media.GeometryCombineMode Mode = System.Windows.Media.GeometryCombineMode.Union) {
End();
var P = PrevPath;
var G = FiguresToGeometry();
if (G != null)
PrevPath = P != null ? (System.Windows.Media.Geometry)System.Windows.Media.PathGeometry.Combine(P, G, Mode, null, Tolerance, ToleranceType) : G;
PrevMode = Mode;
this.Figures = null;
this.LastPath = null;
}
#endregion
#region #method# Union
#region #through#
#if TRACE
[System.Diagnostics.DebuggerStepThrough]
#endif
#endregion
public void Union() => Combine(System.Windows.Media.GeometryCombineMode.Union);
#endregion
#region #method# Intersect
#region #through#
#if TRACE
[System.Diagnostics.DebuggerStepThrough]
#endif
#endregion
public void Intersect() => Combine(System.Windows.Media.GeometryCombineMode.Intersect);
#endregion
#region #method# Xor
#region #through#
#if TRACE
[System.Diagnostics.DebuggerStepThrough]
#endif
#endregion
public void Xor() => Combine(System.Windows.Media.GeometryCombineMode.Xor);
#endregion
#region #method# Exclude
#region #through#
#if TRACE
[System.Diagnostics.DebuggerStepThrough]
#endif
#endregion
public void Exclude() => Combine(System.Windows.Media.GeometryCombineMode.Exclude);
#endregion
#region #field# LastPath
#region #invisible#
#if TRACE
[System.Diagnostics.DebuggerBrowsable(System.Diagnostics.DebuggerBrowsableState.Never)]
#endif
#endregion
private System.Windows.Media.Geometry LastPath;
#endregion
#region #get# Geometry
public System.Windows.Media.Geometry Geometry {
get {
var L = this.LastPath;
if (L == null) {
var P = this.PrevPath;
var G = FiguresToGeometry();
if (P != null) {
if (G != null) {
L = this.LastPath = (System.Windows.Media.Geometry)System.Windows.Media.PathGeometry.Combine(P, G, PrevMode, null, Tolerance, ToleranceType);
} else {
L = this.LastPath = P;
}
} else {
L = this.LastPath = G;
}
}
return L;
}
}
#endregion
#region #field# CombinedFigures
#region #invisible#
#if TRACE
[System.Diagnostics.DebuggerBrowsable(System.Diagnostics.DebuggerBrowsableState.Never)]
#endif
#endregion
private List CombinedFigures;
#endregion
#region #get# Combined
public List Combined {
get {
var C = this.CombinedFigures;
if (C == null) {
var G = this.LastPath;
System.Windows.Media.PathGeometry GG = null;
if (G == null && Figures != null) {
this.LastPath = G = FiguresToGeometry();
}
if (G != null) {
var P = new System.Windows.Media.PathGeometry();
GG = System.Windows.Media.PathGeometry.Combine(P, G, System.Windows.Media.GeometryCombineMode.Union, null, Tolerance, ToleranceType);
C = this.CombinedFigures = GetFlattenedGeometry(GG);
}
}
return C;
}
}
#endregion
#region #new#
public PathSource() { }
#endregion
#region #field# Tolerance
public double Tolerance = 0.5;
#endregion
#region #field# ToleranceType
public System.Windows.Media.ToleranceType ToleranceType = System.Windows.Media.ToleranceType.Absolute;
#endregion
#region #field# IsUnited
public bool IsUnited = true;
#endregion
#region #field# IsFilled
public bool IsFilled = true;
#endregion
#region #field# IsClozed
public bool IsClozed = true;
#endregion
#region #field# Inverted
public bool Inverted;
#endregion
#region #field# RootM
private Preset RootM;
#endregion
#region #field# RootE
private Preset RootE;
#endregion
#region #class# Preset
public class Preset {
public double Value;
public Preset(double Value) {
#region #debug#
#if DEBUG
if (Value < 0 || Value > 1) throw new System.ArgumentOutOfRangeException();
#endif
#endregion
this.Value = Value;
}
}
#endregion
#region #method# PresetRoot()
/// <summary>Удаляет предустановку корней)</summary>
/// <remarks>Корни отрезают часть фигуры с начала и/или с конца)</remarks>
public void PresetRoot() {
this.RootE = null;
this.RootM = null;
}
#endregion
#region #method# PresetRoot(me)
/// <summary>Добавляет предустановку корня, начального если больше нуля, конечного если меньше нуля)</summary>
/// <remarks>Корни отрезают часть фигуры с начала и/или с конца)</remarks>
public void PresetRoot(double me) {
if (me < 0) {
this.RootE = new Preset(-me);
this.RootM = null;
} else {
this.RootM = new Preset(me);
this.RootE = null;
}
}
#endregion
#region #method# PresetRoot(M, E)
/// <summary>Добавляет предустановку начального и конечного корня, знак числа не имеет значения)</summary>
/// <remarks>Корни отрезают часть фигуры с начала и/или с конца)</remarks>
public void PresetRoot(double M, double E) {
if (M < 0) M = -M;
if (E < 0) E = -E;
this.RootE = new Preset(M);
this.RootM = new Preset(E);
}
#endregion
#region #field# Mod
private Change Mod;
#endregion
#region #field# Figures
private List Figures;
#endregion
#region #field# ProcessingFigure
private FigureProcessing ProcessingFigure;
#endregion
#region #field# Thickness
/// <summary>Толщина линий)</summary>
public double Thickness;
#endregion
#region #field# IsBoned
public bool IsBoned;
#endregion
#region #field# IsRoundM
public bool IsRoundM;
#endregion
#region #field# IsRoundE
public bool IsRoundE;
#endregion
#region #field# QualityMax
public const double QualityMax = 0.5;
#endregion
#region #field# QualityBut
public const double QualityBut = 0.05;
#endregion
#region #field# QualityMin
public const double QualityMin = 0.005;
#endregion
#region #property# Figures
// private Figure[] Figures {
// #region #through#
//#if TRACE
// [System.Diagnostics.DebuggerStepThrough]
//#endif
// #endregion
// get {
// var Count = this.FigureSize;
// var Array = new Figure[Count--];
// var Cache = this.FigureLast;
// while (Count >= 0) {
// Array[Count--] = Cache;
// Cache = Cache.Prev;
// }
// return Array;
// }
// }
#endregion
#region #method# FiguresToGeometry
private System.Windows.Media.StreamGeometry FiguresToGeometry() {
if (Figures == null) return null;
var Stream = new System.Windows.Media.StreamGeometry();
Stream.FillRule = IsUnited ? System.Windows.Media.FillRule.Nonzero : System.Windows.Media.FillRule.EvenOdd;
var Context = Stream.Open();
var Figure = Figures.Base as Figure;
while (Figure != null) {
var Curves = Figure.Curves;
if (Curves != null && Curves.Count > 0) {
var Cache = Curves.Base as Curve;
var Value = Cache.Line;
Context.BeginFigure(new System.Windows.Point(Value.MX, Value.MY), Figure.IsFilled, Figure.IsClozed);
Value.To(Context);
var PreX = Value.EX;
var PreY = Value.EY;
Cache = Cache.Next as Curve;
while (Cache != null) {
Value = Cache.Line;
Value.If(Context, PreX, PreY);
Value.To(Context);
PreX = Value.EX;
PreY = Value.EY;
Cache = Cache.Next as Curve;
}
}
Figure = Figure.Next as Figure;
}
Context.Close();
return Stream;
}
#endregion
#region #method# CombineToGeometry
public System.Windows.Media.Geometry CombineToGeometry() {
var Path = FiguresToGeometry();
return Path;
}
#endregion
#region #method# GetFlattenedGeometry(Geometry)
public List GetFlattenedGeometry(System.Windows.Media.Geometry Geometry) {
var FigureList = new List();
var Path = Geometry as System.Windows.Media.PathGeometry;
if (Path == null) Path = Geometry.GetFlattenedPathGeometry(Tolerance, ToleranceType);
var Figures = Path.Figures;
foreach (var Figure in Figures) {
var F = new Figure(Figure.IsFilled, Figure.IsClosed);
var P0 = Figure.StartPoint;
var Segments = Figure.Segments;
var SegmentList = new List();
foreach (var Segment in Segments) {
var MX = P0.X;
var MY = P0.Y;
if (Segment is System.Windows.Media.LineSegment) {
var S = (System.Windows.Media.LineSegment)Segment;
var P1 = S.Point;
SegmentList.AddLast(new Curve(P0.X, P0.Y, P1.X, P1.Y));