-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathSymbolicOctonion.h
192 lines (153 loc) · 8.14 KB
/
SymbolicOctonion.h
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
#ifndef SymbolicOctonion_H
#define SymbolicOctonion_H
#include <iostream>
#include "PolynomialFraction.h"
#include "SymbolicMatrix.h"
using namespace std;
class SymbolicOctonion
{
//Polynomial e0, e1, e2, e3, e4, e5, e6, e7;
public:
SymbolicOctonion(){};
SymbolicOctonion(PolynomialFraction e0,PolynomialFraction e1,PolynomialFraction e2,PolynomialFraction e3,PolynomialFraction e4,PolynomialFraction e5,PolynomialFraction e6, PolynomialFraction e7){
this->e0 = e0;
this->e1 = e1;
this->e2 = e2;
this->e3 = e3;
this->e4 = e4;
this->e5 = e5;
this->e6 = e6;
this->e7 = e7;
}
SymbolicOctonion(string e0, string e1, string e2, string e3, string e4, string e5, string e6, string e7){
this->e0 = PolynomialFraction(e0);
this->e1 = PolynomialFraction(e1);
this->e2 = PolynomialFraction(e2);
this->e3 = PolynomialFraction(e3);
this->e4 = PolynomialFraction(e4);
this->e5 = PolynomialFraction(e5);
this->e6 = PolynomialFraction(e6);
this->e7 = PolynomialFraction(e7);
}
PolynomialFraction normSqr();
// Copy
void operator=(const SymbolicOctonion &inSymbolicOctonion);
// add SymbolicOctonion
void operator+=(const SymbolicOctonion &ininSymbolicOctonion);
// sum of two SymbolicOctonion
SymbolicOctonion operator+(const SymbolicOctonion &inSymbolicOctonion) const;
// sub SymbolicOctonion
void operator-=(const SymbolicOctonion &inSymbolicOctonion);
// Difference of two SymbolicOctonions
SymbolicOctonion operator-(const SymbolicOctonion &inSymbolicOctonion) const;
// multiply by SymbolicOctonion
void operator*=(const SymbolicOctonion &inSymbolicOctonion);
// product of two SymbolicOctonion
SymbolicOctonion operator*(const SymbolicOctonion &ininSymbolicOctonion) const;
SymbolicOctonion operator()(const SymbolicOctonion &inSymbolicOctonion) const;
SymbolicOctonion evaluate(const SymbolicOctonion &inSymbolicOctonion) const;
// SymbolicOctonion inverse
// Output stream
friend ostream &operator<<(ostream &os, const SymbolicOctonion &inSymbolicOctonion){
os <<"("<<endl;
os << inSymbolicOctonion.e0 <<" ,"<<endl;
os << inSymbolicOctonion.e1 <<" ,"<<endl;
os << inSymbolicOctonion.e2 <<" ,"<<endl;
os << inSymbolicOctonion.e3 <<" ,"<<endl;
os << inSymbolicOctonion.e4 <<" ,"<<endl;
os << inSymbolicOctonion.e5 <<" ,"<<endl;
os << inSymbolicOctonion.e6 <<" ,"<<endl;
os << inSymbolicOctonion.e7 <<" ,"<<endl;
os << ")"<<endl;
return os;
}
SymbolicMatrix getMatrix(){
SymbolicMatrix a;
a.setDims(8,8);
Variable x0("x_0");
Variable x1("x_1");
Variable x2("x_2");
Variable x3("x_3");
Variable x4("x_4");
Variable x5("x_5");
Variable x6("x_6");
Variable x7("x_7");
a.setEntry(0,0,this->e0.getNumerator().extractPartDivisibleBy(x0));
a.setEntry(0,1,this->e1.getNumerator().extractPartDivisibleBy(x0));
a.setEntry(0,2,this->e2.getNumerator().extractPartDivisibleBy(x0));
a.setEntry(0,3,this->e3.getNumerator().extractPartDivisibleBy(x0));
a.setEntry(0,4,this->e4.getNumerator().extractPartDivisibleBy(x0));
a.setEntry(0,5,this->e5.getNumerator().extractPartDivisibleBy(x0));
a.setEntry(0,6,this->e6.getNumerator().extractPartDivisibleBy(x0));
a.setEntry(0,7,this->e7.getNumerator().extractPartDivisibleBy(x0));
a.setEntry(1,0,this->e0.getNumerator().extractPartDivisibleBy(x1));
a.setEntry(1,1,this->e1.getNumerator().extractPartDivisibleBy(x1));
a.setEntry(1,2,this->e2.getNumerator().extractPartDivisibleBy(x1));
a.setEntry(1,3,this->e3.getNumerator().extractPartDivisibleBy(x1));
a.setEntry(1,4,this->e4.getNumerator().extractPartDivisibleBy(x1));
a.setEntry(1,5,this->e5.getNumerator().extractPartDivisibleBy(x1));
a.setEntry(1,6,this->e6.getNumerator().extractPartDivisibleBy(x1));
a.setEntry(1,7,this->e7.getNumerator().extractPartDivisibleBy(x1));
a.setEntry(2,0,this->e0.getNumerator().extractPartDivisibleBy(x2));
a.setEntry(2,1,this->e1.getNumerator().extractPartDivisibleBy(x2));
a.setEntry(2,2,this->e2.getNumerator().extractPartDivisibleBy(x2));
a.setEntry(2,3,this->e3.getNumerator().extractPartDivisibleBy(x2));
a.setEntry(2,4,this->e4.getNumerator().extractPartDivisibleBy(x2));
a.setEntry(2,5,this->e5.getNumerator().extractPartDivisibleBy(x2));
a.setEntry(2,6,this->e6.getNumerator().extractPartDivisibleBy(x2));
a.setEntry(2,7,this->e7.getNumerator().extractPartDivisibleBy(x2));
a.setEntry(3,0,this->e0.getNumerator().extractPartDivisibleBy(x3));
a.setEntry(3,1,this->e1.getNumerator().extractPartDivisibleBy(x3));
a.setEntry(3,2,this->e2.getNumerator().extractPartDivisibleBy(x3));
a.setEntry(3,3,this->e3.getNumerator().extractPartDivisibleBy(x3));
a.setEntry(3,4,this->e4.getNumerator().extractPartDivisibleBy(x3));
a.setEntry(3,5,this->e5.getNumerator().extractPartDivisibleBy(x3));
a.setEntry(3,6,this->e6.getNumerator().extractPartDivisibleBy(x3));
a.setEntry(3,7,this->e7.getNumerator().extractPartDivisibleBy(x3));
a.setEntry(4,0,this->e0.getNumerator().extractPartDivisibleBy(x4));
a.setEntry(4,1,this->e1.getNumerator().extractPartDivisibleBy(x4));
a.setEntry(4,2,this->e2.getNumerator().extractPartDivisibleBy(x4));
a.setEntry(4,3,this->e3.getNumerator().extractPartDivisibleBy(x4));
a.setEntry(4,4,this->e4.getNumerator().extractPartDivisibleBy(x4));
a.setEntry(4,5,this->e5.getNumerator().extractPartDivisibleBy(x4));
a.setEntry(4,6,this->e6.getNumerator().extractPartDivisibleBy(x4));
a.setEntry(4,7,this->e7.getNumerator().extractPartDivisibleBy(x4));
a.setEntry(5,0,this->e0.getNumerator().extractPartDivisibleBy(x5));
a.setEntry(5,1,this->e1.getNumerator().extractPartDivisibleBy(x5));
a.setEntry(5,2,this->e2.getNumerator().extractPartDivisibleBy(x5));
a.setEntry(5,3,this->e3.getNumerator().extractPartDivisibleBy(x5));
a.setEntry(5,4,this->e4.getNumerator().extractPartDivisibleBy(x5));
a.setEntry(5,5,this->e5.getNumerator().extractPartDivisibleBy(x5));
a.setEntry(5,6,this->e6.getNumerator().extractPartDivisibleBy(x5));
a.setEntry(5,7,this->e7.getNumerator().extractPartDivisibleBy(x5));
a.setEntry(6,0,this->e0.getNumerator().extractPartDivisibleBy(x6));
a.setEntry(6,1,this->e1.getNumerator().extractPartDivisibleBy(x6));
a.setEntry(6,2,this->e2.getNumerator().extractPartDivisibleBy(x6));
a.setEntry(6,3,this->e3.getNumerator().extractPartDivisibleBy(x6));
a.setEntry(6,4,this->e4.getNumerator().extractPartDivisibleBy(x6));
a.setEntry(6,5,this->e5.getNumerator().extractPartDivisibleBy(x6));
a.setEntry(6,6,this->e6.getNumerator().extractPartDivisibleBy(x6));
a.setEntry(6,7,this->e7.getNumerator().extractPartDivisibleBy(x6));
a.setEntry(7,0,this->e0.getNumerator().extractPartDivisibleBy(x7));
a.setEntry(7,1,this->e1.getNumerator().extractPartDivisibleBy(x7));
a.setEntry(7,2,this->e2.getNumerator().extractPartDivisibleBy(x7));
a.setEntry(7,3,this->e3.getNumerator().extractPartDivisibleBy(x7));
a.setEntry(7,4,this->e4.getNumerator().extractPartDivisibleBy(x7));
a.setEntry(7,5,this->e5.getNumerator().extractPartDivisibleBy(x7));
a.setEntry(7,6,this->e6.getNumerator().extractPartDivisibleBy(x7));
a.setEntry(7,7,this->e7.getNumerator().extractPartDivisibleBy(x7));
return a;
}
//private:
PolynomialFraction e0, e1, e2, e3, e4, e5, e6, e7;
};
inline long operator==(const SymbolicOctonion &a, const SymbolicOctonion &b)
{
return ( (a.e0 == b.e0) && (a.e1 == b.e1) && (a.e2 == b.e2) && (a.e3 == b.e3) && (a.e0 == b.e0) && (a.e4 == b.e4) && (a.e5 == b.e5) && (a.e6 == b.e6) && (a.e7 == b.e7) );
}
inline long operator!=(const SymbolicOctonion& a, const SymbolicOctonion& b)
{
return !(a == b);
}
SymbolicOctonion inv(SymbolicOctonion &inSymbolicOctonion);
#endif // SymbolicOctonion_H