-
Notifications
You must be signed in to change notification settings - Fork 0
Expand file tree
/
Copy pathMatrix.cpp
More file actions
196 lines (157 loc) · 4.71 KB
/
Matrix.cpp
File metadata and controls
196 lines (157 loc) · 4.71 KB
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
193
194
195
#include "Matrix.h"
#include <iostream>
#include <random>
#include <omp.h>
#include <algorithm>
using namespace std;
Matrix::Matrix(int m, int n): m{m}, n{n}, vals{vector<double>(m*n)}{}
void Matrix::print(int precision) const {
for (int i = 0; i < m; ++i) {
for (int j = 0; j < n; ++j) {
std::cout << std::fixed << std::setprecision(precision)
<< vals[i * n + j] << " ";
}
std::cout << "\n";
}
std::cout << std::endl;
}
Matrix::Matrix(int m , int n, vector<double> vals): m{m}, n{n}, vals{vals} {}
Matrix::Matrix(const Matrix &M1): m{M1.m}, n{M1.n}, vals{M1.vals} {}
void Matrix::random() {
std::random_device rd; // seed source
std::mt19937 gen(rd()); // random number generator (Mersenne Twister)
std::uniform_real_distribution<> dis(-1,1); // range: [-1, 1]
for (int i = 0; i < m * n; ++i) {
vals[i] = dis(gen); // fill each element with a random double
}
}
Matrix Matrix::transpose() const {
Matrix result(n, m); // flipped dimensions
for (int i = 0; i < m; ++i) {
for (int j = 0; j < n; ++j) {
result.vals[j * m + i] = vals[i * n + j];
}
}
return result;
}
Matrix ReLU(const Matrix &M) {
Matrix output(M.m, M.n);
for (int i = 0; i < M.m; ++i) {
for (int j = 0; j < M.n; ++j) {
output.vals[i * M.n + j] = std::max(0.0, M.vals[i * M.n + j]);
}
}
return output;
}
Matrix softmax(const Matrix &M) {
Matrix result(M.m, M.n);
// Find max value for numerical stability
double max_val = *std::max_element(M.vals.begin(), M.vals.end());
// Compute exponentials
double sum = 0.0;
for (int i = 0; i < M.m * M.n; ++i) {
result.vals[i] = std::exp(M.vals[i] - max_val);
sum += result.vals[i];
}
// Normalize
for (int i = 0; i < M.m * M.n; ++i) {
result.vals[i] /= sum;
}
return result;
}
void Matrix::zeroes() {
for (int i = 0; i < m * n; ++i) {
vals[i] = 0; // fill each element with a random double
}
}
Matrix dot(const Matrix &M1, const Matrix &M2) {
if (M1.n != M2.m) {cerr << "Issue with dot, order is wrong" << endl; return {};}
Matrix result = Matrix(M1.m, M2.n);
#pragma omp parallel for
for(int k =0; k < M1.m; ++k) {
for(int j = 0; j < M2.n; ++j) {
double val = 0.0;
for (int i = 0; i < M1.n; ++i) {
val += M1.vals[i + M1.n*k]*M2.vals[i*M2.n + j];
}
result.vals[k*M2.n + j] = val;
}
}
return result;
}
Matrix operator+(const Matrix& M1, const Matrix& M2) {
if (M1.m != M2.m || M1.n != M2.n) {
std::cerr << "Matrix + error: dimension mismatch\n";
std::exit(EXIT_FAILURE); // or throw
}
Matrix result(M1.m, M1.n);
for (int i = 0; i < M1.m * M1.n; ++i) {
result.vals[i] = M1.vals[i] + M2.vals[i];
}
return result;
}
Matrix operator/(const Matrix &M, float num) {
Matrix result = Matrix(M.m, M.n);
for(int i = 0; i < M.m; i++) {
for (int j =0; j < M.n; ++j) {
result.vals[i*M.n + j] = M.vals[i*M.n + j] / num;
}
}
return result;
}
Matrix deriv_ReLU(const Matrix &M) {
Matrix result = Matrix(M.m, M.n);
for(int i = 0; i < M.m; i++) {
for (int j =0; j < M.n; ++j) {
if (M.vals[i*M.n + j] > 0.0) {result.vals[i*M.n + j] = 1;}
else result.vals[i*M.n + j] = 0;
}
}
return result;
}
Matrix elementwise(const Matrix& M1, const Matrix& M2) {
if (M1.m != M2.m || M1.n != M2.n) {
std::cerr << "Elementwise error: dimension mismatch.\n";
return {};
}
Matrix result(M1.m, M1.n);
for (int i = 0; i < M1.m; ++i) {
for (int j = 0; j < M1.n; ++j) {
int idx = i * M1.n + j;
result.vals[idx] = M1.vals[idx] * M2.vals[idx];
}
}
return result;
}
Matrix operator-(const Matrix& M1, const Matrix& M2) {
if (M1.m != M2.m || M1.n != M2.n) {
std::cerr << "Matrix - error: dimension mismatch\n";
return {};
}
Matrix result(M1.m, M1.n);
for (int i = 0; i < M1.m; ++i) {
for (int j = 0; j < M1.n; ++j) {
int idx = i * M1.n + j;
result.vals[idx] = M1.vals[idx] - M2.vals[idx];
}
}
return result;
}
Matrix operator*(float num, const Matrix &M) {
Matrix result = Matrix(M.m,M.n);
for (int i = 0; i < M.m*M.n; ++i) {
result.vals[i] = M.vals[i] * num;
}
return result;
}
int Matrix::argmax() {
double max = -1e9;
int max_idx = 0;
for (int i = 0; i < m * n; ++i) {
if (vals[i] > max) {
max = vals[i];
max_idx = i;
}
}
return max_idx;
}