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-rw-r--r--CMakeLists.txt6
-rw-r--r--LICENSE2
-rw-r--r--src/bin/CMakeLists.txt3
-rw-r--r--src/bin/mnist/CMakeLists.txt11
-rw-r--r--src/bin/mnist/src/main.c473
-rw-r--r--src/lib/CMakeLists.txt37
-rw-r--r--src/lib/include/neuralnet/matrix.h111
-rw-r--r--src/lib/include/neuralnet/neuralnet.h64
-rw-r--r--src/lib/include/neuralnet/train.h42
-rw-r--r--src/lib/include/neuralnet/types.h3
-rw-r--r--src/lib/src/activation.h21
-rw-r--r--src/lib/src/matrix.c298
-rw-r--r--src/lib/src/neuralnet.c228
-rw-r--r--src/lib/src/neuralnet_impl.h36
-rw-r--r--src/lib/src/train.c346
-rw-r--r--src/lib/test/matrix_test.c350
-rw-r--r--src/lib/test/neuralnet_test.c92
-rw-r--r--src/lib/test/test.h185
-rw-r--r--src/lib/test/test_main.c3
-rw-r--r--src/lib/test/test_util.h22
-rw-r--r--src/lib/test/train_linear_perceptron_non_origin_test.c67
-rw-r--r--src/lib/test/train_linear_perceptron_test.c62
-rw-r--r--src/lib/test/train_sigmoid_test.c66
-rw-r--r--src/lib/test/train_xor_test.c66
24 files changed, 2593 insertions, 1 deletions
diff --git a/CMakeLists.txt b/CMakeLists.txt
new file mode 100644
index 0000000..a060fab
--- /dev/null
+++ b/CMakeLists.txt
@@ -0,0 +1,6 @@
1cmake_minimum_required(VERSION 3.0)
2
3project(neuralnet)
4
5add_subdirectory(src/lib)
6add_subdirectory(src/bin)
diff --git a/LICENSE b/LICENSE
index 0c97efd..3471388 100644
--- a/LICENSE
+++ b/LICENSE
@@ -1,7 +1,7 @@
1GNU AFFERO GENERAL PUBLIC LICENSE 1GNU AFFERO GENERAL PUBLIC LICENSE
2Version 3, 19 November 2007 2Version 3, 19 November 2007
3 3
4Copyright (C) 2007 Free Software Foundation, Inc. <http://fsf.org/> 4Copyright (C) 2022 Marc Sunet <https://shellblade.net/>
5 5
6Everyone is permitted to copy and distribute verbatim copies of this license document, but changing it is not allowed. 6Everyone is permitted to copy and distribute verbatim copies of this license document, but changing it is not allowed.
7 7
diff --git a/src/bin/CMakeLists.txt b/src/bin/CMakeLists.txt
new file mode 100644
index 0000000..051a56f
--- /dev/null
+++ b/src/bin/CMakeLists.txt
@@ -0,0 +1,3 @@
1cmake_minimum_required(VERSION 3.0)
2
3add_subdirectory(mnist)
diff --git a/src/bin/mnist/CMakeLists.txt b/src/bin/mnist/CMakeLists.txt
new file mode 100644
index 0000000..a6c54f2
--- /dev/null
+++ b/src/bin/mnist/CMakeLists.txt
@@ -0,0 +1,11 @@
1cmake_minimum_required(VERSION 3.0)
2
3add_executable(mnist
4 src/main.c)
5
6target_link_libraries(mnist PRIVATE
7 neuralnet
8 bsd
9 z)
10
11target_compile_options(mnist PRIVATE -Wall -Wextra)
diff --git a/src/bin/mnist/src/main.c b/src/bin/mnist/src/main.c
new file mode 100644
index 0000000..4d268ac
--- /dev/null
+++ b/src/bin/mnist/src/main.c
@@ -0,0 +1,473 @@
1#include <neuralnet/matrix.h>
2#include <neuralnet/neuralnet.h>
3#include <neuralnet/train.h>
4
5#include <zlib.h>
6
7#include <assert.h>
8#include <bsd/string.h>
9#include <linux/limits.h>
10#include <math.h>
11#include <stdbool.h>
12#include <stdint.h>
13#include <stdio.h>
14#include <stdlib.h>
15
16static const int TRAIN_ITERATIONS = 100;
17
18static const int32_t IMAGE_FILE_MAGIC = 0x00000803;
19static const int32_t LABEL_FILE_MAGIC = 0x00000801;
20
21// Inputs of 0 cancel weights during training. This value is used to rescale the
22// input pixels from [0,255] to [PIXEL_LOWER_BOUND, 1.0].
23static const double PIXEL_LOWER_BOUND = 0.01;
24
25// Scale the outputs to (0,1) since the sigmoid cannot produce 0 or 1.
26static const double LABEL_LOWER_BOUND = 0.01;
27static const double LABEL_UPPER_BOUND = 0.99;
28
29// Epsilon used to compare R values.
30static const double EPS = 1e-10;
31
32#define min(a,b) ((a) < (b) ? (a) : (b))
33
34typedef struct ImageSet {
35 nnMatrix images; // Images flattened into row vectors of the matrix.
36 nnMatrix labels; // One-hot-encoded labels.
37 int count; // Number of images and labels.
38 int rows; // Rows in an image.
39 int cols; // Columns in an image.
40} ImageSet;
41
42static void usage(const char* argv0) {
43 fprintf(stderr, "Usage: %s <path to mnist files directory> [num images]\n", argv0);
44 fprintf(stderr, "\n");
45 fprintf(stderr, " Use -1 for [num images] to use all the images in the data set\n");
46}
47
48static bool R_eq(R a, R b) {
49 return fabs(a-b) <= EPS;
50}
51
52static void PrintImage(const nnMatrix* images, int rows, int cols, int image_index) {
53 assert(images);
54 assert((0 <= image_index) && (image_index < images->rows));
55
56 // Top line.
57 for (int j = 0; j < cols/2; ++j) {
58 printf(" -");
59 }
60 printf("\n");
61
62 // Image.
63 const R* value = nnMatrixRow(images, image_index);
64 for (int i = 0; i < rows; ++i) {
65 printf("|");
66 for (int j = 0; j < cols; ++j) {
67 if (*value > 0.8) {
68 printf("#");
69 } else if (*value > 0.5) {
70 printf("*");
71 }
72 else if (*value > PIXEL_LOWER_BOUND) {
73 printf(":");
74 } else if (*value == 0.0) {
75 // Values should not be exactly 0, otherwise they cancel out weights
76 // during training.
77 printf("X");
78 } else {
79 printf(" ");
80 }
81 value++;
82 }
83 printf("|\n");
84 }
85
86 // Bottom line.
87 for (int j = 0; j < cols/2; ++j) {
88 printf(" -");
89 }
90 printf("\n");
91}
92
93static void PrintLabel(const nnMatrix* labels, int label_index) {
94 assert(labels);
95 assert((0 <= label_index) && (label_index < labels->rows));
96
97 // Compute the label from the one-hot encoding.
98 const R* value = nnMatrixRow(labels, label_index);
99 int label = -1;
100 for (int i = 0; i < 10; ++i) {
101 if (R_eq(*value++, LABEL_UPPER_BOUND)) {
102 label = i;
103 break;
104 }
105 }
106 assert((0 <= label) && (label <= 9));
107
108 printf("Label: %d ( ", label);
109 value = nnMatrixRow(labels, label_index);
110 for (int i = 0; i < 10; ++i) {
111 printf("%.3f ", *value++);
112 }
113 printf(")\n");
114}
115
116static R lerp(R a, R b, R t) {
117 return a + t*(b-a);
118}
119
120/// Rescales a pixel from [0,255] to [PIXEL_LOWER_BOUND, 1.0].
121static R FormatPixel(uint8_t pixel) {
122 const R value = (R)(pixel) / 255.0 * (1.0 - PIXEL_LOWER_BOUND) + PIXEL_LOWER_BOUND;
123 assert(value >= PIXEL_LOWER_BOUND);
124 assert(value <= 1.0);
125 return value;
126}
127
128/// Rescales a one-hot-encoded label value to (0,1).
129static R FormatLabel(R label) {
130 const R value = lerp(LABEL_LOWER_BOUND, LABEL_UPPER_BOUND, label);
131 assert(value > 0.0);
132 assert(value < 1.0);
133 return value;
134}
135
136static int32_t ReverseEndian32(int32_t x) {
137 const int32_t x0 = x & 0xff;
138 const int32_t x1 = (x >> 8) & 0xff;
139 const int32_t x2 = (x >> 16) & 0xff;
140 const int32_t x3 = (x >> 24) & 0xff;
141 return (x0 << 24) | (x1 << 16) | (x2 << 8) | x3;
142}
143
144static void ImageToMatrix(
145 const uint8_t* pixels, int num_pixels, int row, nnMatrix* images) {
146 assert(pixels);
147 assert(images);
148
149 for (int i = 0; i < num_pixels; ++i) {
150 const R pixel = FormatPixel(pixels[i]);
151 nnMatrixSet(images, row, i, pixel);
152 }
153}
154
155static bool ReadImages(gzFile images_file, int max_num_images, ImageSet* image_set) {
156 assert(images_file != Z_NULL);
157 assert(image_set);
158
159 bool success = false;
160
161 uint8_t* pixels = 0;
162
163 int32_t magic, total_images, rows, cols;
164 if ( (gzread(images_file, (char*)&magic, sizeof(int32_t)) != sizeof(int32_t)) ||
165 (gzread(images_file, (char*)&total_images, sizeof(int32_t)) != sizeof(int32_t)) ||
166 (gzread(images_file, (char*)&rows, sizeof(int32_t)) != sizeof(int32_t)) ||
167 (gzread(images_file, (char*)&cols, sizeof(int32_t)) != sizeof(int32_t)) ) {
168 fprintf(stderr, "Failed to read header\n");
169 goto cleanup;
170 }
171
172 magic = ReverseEndian32(magic);
173 total_images = ReverseEndian32(total_images);
174 rows = ReverseEndian32(rows);
175 cols = ReverseEndian32(cols);
176
177 if (magic != IMAGE_FILE_MAGIC) {
178 fprintf(stderr, "Magic number mismatch. Got %x, expected: %x\n",
179 magic, IMAGE_FILE_MAGIC);
180 goto cleanup;
181 }
182
183 printf("Magic: %.8x\nTotal images: %d\nRows: %d\nCols: %d\n",
184 magic, total_images, rows, cols);
185
186 total_images = max_num_images >= 0 ? min(total_images, max_num_images) : total_images;
187
188 // Images are flattened into single row vectors.
189 const int num_pixels = rows * cols;
190 image_set->images = nnMatrixMake(total_images, num_pixels);
191 image_set->count = total_images;
192 image_set->rows = rows;
193 image_set->cols = cols;
194
195 pixels = calloc(1, num_pixels);
196 if (!pixels) {
197 fprintf(stderr, "Failed to allocate image buffer\n");
198 goto cleanup;
199 }
200
201 for (int i = 0; i < total_images; ++i) {
202 const int bytes_read = gzread(images_file, pixels, num_pixels);
203 if (bytes_read < num_pixels) {
204 fprintf(stderr, "Failed to read image %d\n", i);
205 goto cleanup;
206 }
207 ImageToMatrix(pixels, num_pixels, i, &image_set->images);
208 }
209
210 success = true;
211
212cleanup:
213 if (pixels) {
214 free(pixels);
215 }
216 if (!success) {
217 nnMatrixDel(&image_set->images);
218 }
219 return success;
220}
221
222static void OneHotEncode(const uint8_t* labels_bytes, int num_labels, nnMatrix* labels) {
223 assert(labels_bytes);
224 assert(labels);
225 assert(labels->rows == num_labels);
226 assert(labels->cols == 10);
227
228 static const R one_hot[10][10] = {
229 { 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 },
230 { 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 },
231 { 0, 0, 1, 0, 0, 0, 0, 0, 0, 0 },
232 { 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 },
233 { 0, 0, 0, 0, 1, 0, 0, 0, 0, 0 },
234 { 0, 0, 0, 0, 0, 1, 0, 0, 0, 0 },
235 { 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 },
236 { 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 },
237 { 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 },
238 { 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 },
239 };
240
241 R* value = labels->values;
242
243 for (int i = 0; i < num_labels; ++i) {
244 const uint8_t label = labels_bytes[i];
245 const R* one_hot_value = one_hot[label];
246
247 for (int j = 0; j < 10; ++j) {
248 *value++ = FormatLabel(*one_hot_value++);
249 }
250 }
251}
252
253static int OneHotDecode(const nnMatrix* label_matrix) {
254 assert(label_matrix);
255 assert(label_matrix->cols == 1);
256 assert(label_matrix->rows == 10);
257
258 R max_value = 0;
259 int pos_max = 0;
260 for (int i = 0; i < 10; ++i) {
261 const R value = nnMatrixAt(label_matrix, 0, i);
262 if (value > max_value) {
263 max_value = value;
264 pos_max = i;
265 }
266 }
267 assert(pos_max >= 0);
268 assert(pos_max <= 10);
269 return pos_max;
270}
271
272static bool ReadLabels(gzFile labels_file, int max_num_labels, ImageSet* image_set) {
273 assert(labels_file != Z_NULL);
274 assert(image_set != 0);
275
276 bool success = false;
277
278 uint8_t* labels = 0;
279
280 int32_t magic, total_labels;
281 if ( (gzread(labels_file, (char*)&magic, sizeof(int32_t)) != sizeof(int32_t)) ||
282 (gzread(labels_file, (char*)&total_labels, sizeof(int32_t)) != sizeof(int32_t)) ) {
283 fprintf(stderr, "Failed to read header\n");
284 goto cleanup;
285 }
286
287 magic = ReverseEndian32(magic);
288 total_labels = ReverseEndian32(total_labels);
289
290 if (magic != LABEL_FILE_MAGIC) {
291 fprintf(stderr, "Magic number mismatch. Got %x, expected: %x\n",
292 magic, LABEL_FILE_MAGIC);
293 goto cleanup;
294 }
295
296 printf("Magic: %.8x\nTotal labels: %d\n", magic, total_labels);
297
298 total_labels = max_num_labels >= 0 ? min(total_labels, max_num_labels) : total_labels;
299
300 assert(image_set->count == total_labels);
301
302 // One-hot encoding of labels, 10 values (digits) per label.
303 image_set->labels = nnMatrixMake(total_labels, 10);
304
305 labels = calloc(total_labels, sizeof(uint8_t));
306 if (!labels) {
307 fprintf(stderr, "Failed to allocate labels buffer\n");
308 goto cleanup;
309 }
310
311 if (gzread(labels_file, labels, total_labels * sizeof(uint8_t)) != total_labels) {
312 fprintf(stderr, "Failed to read labels\n");
313 goto cleanup;
314 }
315
316 OneHotEncode(labels, total_labels, &image_set->labels);
317
318 success = true;
319
320cleanup:
321 if (labels) {
322 free(labels);
323 }
324 if (!success) {
325 nnMatrixDel(&image_set->labels);
326 }
327 return success;
328}
329
330int main(int argc, const char** argv) {
331 if (argc < 2) {
332 usage(argv[0]);
333 return 1;
334 }
335
336 bool success = false;
337
338 gzFile train_images_file = Z_NULL;
339 gzFile train_labels_file = Z_NULL;
340 gzFile test_images_file = Z_NULL;
341 gzFile test_labels_file = Z_NULL;
342 ImageSet train_set = { 0 };
343 ImageSet test_set = { 0 };
344 nnNeuralNetwork* net = 0;
345 nnQueryObject* query = 0;
346
347 const char* mnist_files_dir = argv[1];
348 const int max_num_images = argc > 2 ? atoi(argv[2]) : -1;
349
350 char train_labels_path[PATH_MAX];
351 char train_images_path[PATH_MAX];
352 char test_labels_path[PATH_MAX];
353 char test_images_path[PATH_MAX];
354 strlcpy(train_labels_path, mnist_files_dir, PATH_MAX);
355 strlcpy(train_images_path, mnist_files_dir, PATH_MAX);
356 strlcpy(test_labels_path, mnist_files_dir, PATH_MAX);
357 strlcpy(test_images_path, mnist_files_dir, PATH_MAX);
358 strlcat(train_labels_path, "/train-labels-idx1-ubyte.gz", PATH_MAX);
359 strlcat(train_images_path, "/train-images-idx3-ubyte.gz", PATH_MAX);
360 strlcat(test_labels_path, "/t10k-labels-idx1-ubyte.gz", PATH_MAX);
361 strlcat(test_images_path, "/t10k-images-idx3-ubyte.gz", PATH_MAX);
362
363 train_images_file = gzopen(train_images_path, "r");
364 if (train_images_file == Z_NULL) {
365 fprintf(stderr, "Failed to open file: %s\n", train_images_path);
366 goto cleanup;
367 }
368
369 train_labels_file = gzopen(train_labels_path, "r");
370 if (train_labels_file == Z_NULL) {
371 fprintf(stderr, "Failed to open file: %s\n", train_labels_path);
372 goto cleanup;
373 }
374
375 test_images_file = gzopen(test_images_path, "r");
376 if (test_images_file == Z_NULL) {
377 fprintf(stderr, "Failed to open file: %s\n", test_images_path);
378 goto cleanup;
379 }
380
381 test_labels_file = gzopen(test_labels_path, "r");
382 if (test_labels_file == Z_NULL) {
383 fprintf(stderr, "Failed to open file: %s\n", test_labels_path);
384 goto cleanup;
385 }
386
387 if (!ReadImages(train_images_file, max_num_images, &train_set)) {
388 goto cleanup;
389 }
390 if (!ReadLabels(train_labels_file, max_num_images, &train_set)) {
391 goto cleanup;
392 }
393
394 if (!ReadImages(test_images_file, max_num_images, &test_set)) {
395 goto cleanup;
396 }
397 if (!ReadLabels(test_labels_file, max_num_images, &test_set)) {
398 goto cleanup;
399 }
400
401 printf("\nTraining image/label pair examples:\n");
402 for (int i = 0; i < min(3, train_set.images.rows); ++i) {
403 PrintImage(&train_set.images, train_set.rows, train_set.cols, i);
404 PrintLabel(&train_set.labels, i);
405 printf("\n");
406 }
407
408 // Network definition.
409 const int image_size_pixels = train_set.rows * train_set.cols;
410 const int num_layers = 2;
411 const int layer_sizes[3] = { image_size_pixels, 100, 10 };
412 const nnActivation layer_activations[2] = { nnSigmoid, nnSigmoid };
413 if (!(net = nnMakeNet(num_layers, layer_sizes, layer_activations))) {
414 fprintf(stderr, "Failed to create neural network\n");
415 goto cleanup;
416 }
417
418 // Train.
419 printf("Training with up to %d images from the data set\n\n", max_num_images);
420 const nnTrainingParams training_params = {
421 .learning_rate = 0.1,
422 .max_iterations = TRAIN_ITERATIONS,
423 .seed = 0,
424 .weight_init = nnWeightInitNormal,
425 .debug = true,
426 };
427 nnTrain(net, &train_set.images, &train_set.labels, &training_params);
428
429 // Test.
430 int hits = 0;
431 query = nnMakeQueryObject(net, /*num_inputs=*/1);
432 for (int i = 0; i < test_set.count; ++i) {
433 const nnMatrix test_image = nnMatrixBorrowRows(&test_set.images, i, 1);
434 const nnMatrix test_label = nnMatrixBorrowRows(&test_set.labels, i, 1);
435
436 nnQuery(net, query, &test_image);
437
438 const int test_label_expected = OneHotDecode(&test_label);
439 const int test_label_actual = OneHotDecode(nnNetOutputs(query));
440
441 if (test_label_actual == test_label_expected) {
442 ++hits;
443 }
444 }
445 const R hit_ratio = (R)hits / (R)test_set.count;
446 printf("Test images: %d\n", test_set.count);
447 printf("Hits: %d/%d (%.3f%%)\n", hits, test_set.count, hit_ratio*100);
448
449 success = true;
450
451cleanup:
452 if (query) {
453 nnDeleteQueryObject(&query);
454 }
455 if (net) {
456 nnDeleteNet(&net);
457 }
458 nnMatrixDel(&train_set.images);
459 nnMatrixDel(&test_set.images);
460 if (train_images_file != Z_NULL) {
461 gzclose(train_images_file);
462 }
463 if (train_labels_file != Z_NULL) {
464 gzclose(train_labels_file);
465 }
466 if (test_images_file != Z_NULL) {
467 gzclose(test_images_file);
468 }
469 if (test_labels_file != Z_NULL) {
470 gzclose(test_labels_file);
471 }
472 return success ? 0 : 1;
473}
diff --git a/src/lib/CMakeLists.txt b/src/lib/CMakeLists.txt
new file mode 100644
index 0000000..9e0e924
--- /dev/null
+++ b/src/lib/CMakeLists.txt
@@ -0,0 +1,37 @@
1cmake_minimum_required(VERSION 3.0)
2
3# Library
4
5add_library(neuralnet
6 src/matrix.c
7 src/neuralnet.c
8 src/train.c)
9
10target_include_directories(neuralnet PUBLIC
11 include)
12
13target_link_libraries(neuralnet PRIVATE
14 math # System math library.
15 random)
16
17target_compile_options(neuralnet PRIVATE -Wall -Wextra)
18
19# Test
20
21add_executable(neuralnet-test
22 test/matrix_test.c
23 test/neuralnet_test.c
24 test/test_main.c
25 test/train_linear_perceptron_test.c
26 test/train_linear_perceptron_non_origin_test.c
27 test/train_sigmoid_test.c
28 test/train_xor_test.c)
29
30target_link_libraries(neuralnet-test PRIVATE
31 neuralnet)
32
33# So that we can include header files from the private implementation.
34target_include_directories(neuralnet-test PRIVATE
35 src)
36
37target_compile_options(neuralnet-test PRIVATE -DUNIT_TEST -Wall -Wextra)
diff --git a/src/lib/include/neuralnet/matrix.h b/src/lib/include/neuralnet/matrix.h
new file mode 100644
index 0000000..9816b81
--- /dev/null
+++ b/src/lib/include/neuralnet/matrix.h
@@ -0,0 +1,111 @@
1#pragma once
2
3#include <neuralnet/types.h>
4
5#include <assert.h>
6
7/// NxM matrix.
8typedef struct nnMatrix {
9 int rows;
10 int cols;
11 R* values;
12} nnMatrix;
13
14/// Construct a matrix.
15nnMatrix nnMatrixMake(int rows, int cols);
16
17/// Delete a matrix and free its internal memory.
18void nnMatrixDel(nnMatrix*);
19
20/// Move a matrix.
21///
22/// |in| is an empty matrix after the move.
23/// |out| is a matrix like |in| before the move.
24void nnMatrixMove(nnMatrix* in, nnMatrix* out);
25
26/// Deep-copy a matrix.
27void nnMatrixCopy(const nnMatrix* in, nnMatrix* out);
28
29/// Write the matrix values into an array in a row-major fashion.
30void nnMatrixToArray(const nnMatrix* in, R* out);
31
32/// Write the given row of a matrix into an array.
33void nnMatrixRowToArray(const nnMatrix* in, int row, R* out);
34
35/// Copy a column from a source to a target matrix.
36void nnMatrixCopyCol(const nnMatrix* in, nnMatrix* out, int col_in, int col_out);
37
38/// Mutable borrow of a matrix.
39nnMatrix nnMatrixBorrow(nnMatrix* in);
40
41/// Mutable borrow of a subrange of rows of a matrix.
42nnMatrix nnMatrixBorrowRows(nnMatrix* in, int row_start, int num_rows);
43
44/// Initialize the matrix from an array of values.
45///
46/// The array must hold values in a row-major fashion.
47void nnMatrixInit(nnMatrix*, const R* values);
48
49/// Initialize all matrix values to a given constant.
50void nnMatrixInitConstant(nnMatrix*, R value);
51
52/// Multiply two matrices.
53void nnMatrixMul(const nnMatrix* left, const nnMatrix* right, nnMatrix* out);
54
55/// Matrix multiply-add.
56///
57/// out = left + (right * scale)
58void nnMatrixMulAdd(const nnMatrix* left, const nnMatrix* right, R scale, nnMatrix* out);
59
60/// Matrix multiply-subtract.
61///
62/// out = left - (right * scale)
63void nnMatrixMulSub(const nnMatrix* left, const nnMatrix* right, R scale, nnMatrix* out);
64
65/// Hadamard product of two matrices.
66void nnMatrixMulPairs(const nnMatrix* left, const nnMatrix* right, nnMatrix* out);
67
68/// Add two matrices.
69void nnMatrixAdd(const nnMatrix* left, const nnMatrix* right, nnMatrix* out);
70
71/// Subtract two matrices.
72void nnMatrixSub(const nnMatrix* left, const nnMatrix* right, nnMatrix* out);
73
74/// Adds a row vector to all rows of the matrix.
75void nnMatrixAddRow(const nnMatrix* matrix, const nnMatrix* row, nnMatrix* out);
76
77/// Scale a matrix.
78void nnMatrixScale(nnMatrix*, R scale);
79
80/// Transpose a matrix.
81/// |in| must be different than |out|.
82void nnMatrixTranspose(const nnMatrix* in, nnMatrix* out);
83
84/// Threshold the values of a matrix using a greater-than operator.
85///
86/// out[x,y] = 1 if in[x,y] > threshold else 0
87void nnMatrixGt(const nnMatrix* in, R threshold, nnMatrix* out);
88
89/// Return the matrix value at the given row and column.
90static inline R nnMatrixAt(const nnMatrix* matrix, int row, int col) {
91 assert(matrix);
92 return matrix->values[row * matrix->cols + col];
93}
94
95/// Set the matrix value at the given row and column.
96static inline void nnMatrixSet(nnMatrix* matrix, int row, int col, R value) {
97 assert(matrix);
98 matrix->values[row * matrix->cols + col] = value;
99}
100
101/// Return a pointer to the given row in the matrix.
102static inline const R* nnMatrixRow(const nnMatrix* matrix, int row) {
103 assert(matrix);
104 return &matrix->values[row * matrix->cols];
105}
106
107/// Return a mutable pointer to the given row in the matrix.
108static inline R* nnMatrixRow_mut(nnMatrix* matrix, int row) {
109 assert(matrix);
110 return &matrix->values[row * matrix->cols];
111}
diff --git a/src/lib/include/neuralnet/neuralnet.h b/src/lib/include/neuralnet/neuralnet.h
new file mode 100644
index 0000000..1cf1c53
--- /dev/null
+++ b/src/lib/include/neuralnet/neuralnet.h
@@ -0,0 +1,64 @@
1#pragma once
2
3#include <neuralnet/types.h>
4
5typedef struct nnMatrix nnMatrix;
6
7typedef struct nnNeuralNetwork nnNeuralNetwork;
8typedef struct nnQueryObject nnQueryObject;
9
10/// Neuron activation.
11typedef enum nnActivation {
12 nnIdentity,
13 nnSigmoid,
14 nnRelu,
15} nnActivation;
16
17/// Create a network.
18nnNeuralNetwork* nnMakeNet(int num_layers, const int* layer_sizes, const nnActivation* activations);
19
20/// Delete the network and free its internal memory.
21void nnDeleteNet(nnNeuralNetwork**);
22
23/// Set the network's weights.
24void nnSetWeights(nnNeuralNetwork*, const R* weights);
25
26/// Set the network's biases.
27void nnSetBiases(nnNeuralNetwork*, const R* biases);
28
29/// Query the network.
30///
31/// |input| is a matrix of inputs, one row per input and as many columns as the
32/// input's dimension.
33///
34/// The query object's output matrix (see nnQueryOutputs()) is a matrix of
35/// outputs, one row per output and as many columns as the output's dimension.
36void nnQuery(const nnNeuralNetwork*, nnQueryObject*, const nnMatrix* input);
37
38/// Query the network, array version.
39void nnQueryArray(const nnNeuralNetwork*, nnQueryObject*, const R* input, R* output);
40
41/// Create a query object.
42///
43/// The query object holds all the internal memory required to query a network.
44/// Query objects allocate all memory up front so that network queries can run
45/// without additional memory allocation.
46nnQueryObject* nnMakeQueryObject(const nnNeuralNetwork*, int num_inputs);
47
48/// Delete the query object and free its internal memory.
49void nnDeleteQueryObject(nnQueryObject**);
50
51/// Return the outputs of the query.
52const nnMatrix* nnNetOutputs(const nnQueryObject*);
53
54/// Return the network's input size.
55int nnNetInputSize(const nnNeuralNetwork*);
56
57/// Return the network's output size.
58int nnNetOutputSize(const nnNeuralNetwork*);
59
60/// Return the layer's input size.
61int nnLayerInputSize(const nnMatrix* weights);
62
63/// Return the layer's output size.
64int nnLayerOutputSize(const nnMatrix* weights);
diff --git a/src/lib/include/neuralnet/train.h b/src/lib/include/neuralnet/train.h
new file mode 100644
index 0000000..79f8e7b
--- /dev/null
+++ b/src/lib/include/neuralnet/train.h
@@ -0,0 +1,42 @@
1#pragma once
2
3#include <neuralnet/neuralnet.h>
4
5#include <stdbool.h>
6#include <stdint.h>
7
8typedef struct nnMatrix nnMatrix;
9
10/// Weight initialization strategy.
11///
12/// Note that regardless of strategy, a layer's weights are scaled by the
13/// layer's size. This is to avoid saturation when, e.g., using a sigmoid
14/// activation with many inputs. Thus, a (0,1) initialization is really
15/// (0,scale), for example.
16typedef enum nnWeightInitStrategy {
17 nnWeightInit01, // (0,1) range.
18 nnWeightInit11, // (-1,+1) range.
19 nnWeightInitNormal, // Normal distribution.
20} nnWeightInitStrategy;
21
22/// Network training parameters.
23typedef struct nnTrainingParams {
24 R learning_rate;
25 int max_iterations;
26 uint64_t seed;
27 nnWeightInitStrategy weight_init;
28 bool debug;
29} nnTrainingParams;
30
31/// Train the network.
32///
33/// |inputs| is a matrix of inputs, one row per input and as many columns as
34/// the input's dimension.
35///
36/// |targets| is a matrix of targets, one row per target and as many columns as
37/// the target's dimension.
38void nnTrain(
39 nnNeuralNetwork*,
40 const nnMatrix* inputs,
41 const nnMatrix* targets,
42 const nnTrainingParams*);
diff --git a/src/lib/include/neuralnet/types.h b/src/lib/include/neuralnet/types.h
new file mode 100644
index 0000000..e8d3942
--- /dev/null
+++ b/src/lib/include/neuralnet/types.h
@@ -0,0 +1,3 @@
1#pragma once
2
3typedef double R;
diff --git a/src/lib/src/activation.h b/src/lib/src/activation.h
new file mode 100644
index 0000000..42ab73f
--- /dev/null
+++ b/src/lib/src/activation.h
@@ -0,0 +1,21 @@
1#pragma once
2
3#include <neuralnet/types.h>
4
5#include <math.h>
6
7static inline R sigmoid(R x) {
8 return 1. / (1. + exp(-x));
9}
10
11static inline R relu(R x) {
12 return fmax(0, x);
13}
14
15#define NN_MAP_ARRAY(f, in, out, size) \
16 for (int i = 0; i < size; ++i) { \
17 out[i] = f(in[i]); \
18 }
19
20#define sigmoid_array(in, out, size) NN_MAP_ARRAY(sigmoid, in, out, size)
21#define relu_array(in, out, size) NN_MAP_ARRAY(relu, in, out, size)
diff --git a/src/lib/src/matrix.c b/src/lib/src/matrix.c
new file mode 100644
index 0000000..a7a4ce6
--- /dev/null
+++ b/src/lib/src/matrix.c
@@ -0,0 +1,298 @@
1#include <neuralnet/matrix.h>
2
3#include <assert.h>
4#include <stdlib.h>
5#include <string.h>
6
7nnMatrix nnMatrixMake(int rows, int cols) {
8 R* values = calloc(rows * cols, sizeof(R));
9 assert(values != 0);
10
11 return (nnMatrix) {
12 .rows = rows,
13 .cols = cols,
14 .values = values,
15 };
16}
17
18void nnMatrixDel(nnMatrix* matrix) {
19 assert(matrix != 0);
20
21 if (matrix->values != 0) {
22 free(matrix->values);
23 matrix->values = 0;
24 matrix->rows = 0;
25 matrix->cols = 0;
26 }
27}
28
29void nnMatrixMove(nnMatrix* in, nnMatrix* out) {
30 assert(in);
31 assert(out);
32
33 out->rows = in->rows;
34 out->cols = in->cols;
35 out->values = in->values;
36
37 in->rows = 0;
38 in->cols = 0;
39 in->values = 0;
40}
41
42void nnMatrixCopy(const nnMatrix* in, nnMatrix* out) {
43 assert(in);
44 assert(out);
45 assert(in->rows == out->rows);
46 assert(in->cols == out->cols);
47
48 const R* in_value = in->values;
49 R* out_value = out->values;
50
51 for (int i = 0; i < in->rows * in->cols; ++i) {
52 *out_value++ = *in_value++;
53 }
54}
55
56void nnMatrixToArray(const nnMatrix* in, R* out) {
57 assert(in);
58 assert(out);
59
60 const R* values = in->values;
61 for (int i = 0; i < in->rows * in->cols; ++i) {
62 *out++ = *values++;
63 }
64}
65
66void nnMatrixRowToArray(const nnMatrix* in, int row, R* out) {
67 assert(in);
68 assert(out);
69
70 const R* values = in->values + row * in->cols;
71 for (int i = 0; i < in->cols; ++i) {
72 *out++ = *values++;
73 }
74}
75
76void nnMatrixCopyCol(const nnMatrix* in, nnMatrix* out, int col_in, int col_out) {
77 assert(in);
78 assert(out);
79 assert(in->rows == out->rows);
80 assert(col_in < in->cols);
81 assert(col_out < out->cols);
82
83 for (int row = 0; row < in->rows; ++row) {
84 nnMatrixSet(out, row, col_out, nnMatrixAt(in, row, col_in));
85 }
86}
87
88nnMatrix nnMatrixBorrow(nnMatrix* in) {
89 assert(in);
90
91 nnMatrix out;
92 out.rows = in->rows;
93 out.cols = in->cols;
94 out.values = in->values;
95 return out;
96}
97
98nnMatrix nnMatrixBorrowRows(nnMatrix* in, int row_start, int num_rows) {
99 assert(in);
100 assert(row_start < in->rows);
101 assert(row_start + num_rows <= in->rows);
102
103 nnMatrix out;
104 out.rows = num_rows;
105 out.cols = in->cols;
106 out.values = nnMatrixRow_mut(in, row_start);
107 return out;
108}
109
110void nnMatrixInit(nnMatrix* matrix, const R* values) {
111 assert(matrix);
112 assert(values);
113 memcpy(matrix->values, values, matrix->rows * matrix->cols * sizeof(R));
114}
115
116void nnMatrixInitConstant(nnMatrix* matrix, R value) {
117 assert(matrix);
118 for (int i = 0; i < matrix->rows * matrix->cols; ++i) {
119 matrix->values[i] = value;
120 }
121}
122
123void nnMatrixMul(const nnMatrix* left, const nnMatrix* right, nnMatrix* out) {
124 assert(left != 0);
125 assert(right != 0);
126 assert(out != 0);
127 assert(out != left);
128 assert(out != right);
129 assert(left->cols == right->rows);
130 assert(out->rows == left->rows);
131 assert(out->cols == right->cols);
132
133 R* out_value = out->values;
134
135 for (int i = 0; i < left->rows; ++i) {
136 const R* left_row = &left->values[i * left->cols];
137
138 for (int j = 0; j < right->cols; ++j) {
139 const R* right_col = &right->values[j];
140 *out_value = 0;
141
142 // Vector dot product.
143 for (int k = 0; k < left->cols; ++k) {
144 *out_value += left_row[k] * right_col[0];
145 right_col += right->cols; // Next row in the column.
146 }
147
148 out_value++;
149 }
150 }
151}
152
153void nnMatrixMulAdd(const nnMatrix* left, const nnMatrix* right, R scale, nnMatrix* out) {
154 assert(left);
155 assert(right);
156 assert(out);
157 assert(left->rows == right->rows);
158 assert(left->cols == right->cols);
159 assert(left->rows == out->rows);
160 assert(left->cols == out->cols);
161
162 const R* left_value = left->values;
163 const R* right_value = right->values;
164 R* out_value = out->values;
165
166 for (int i = 0; i < left->rows * left->cols; ++i) {
167 *out_value++ = *left_value++ + *right_value++ * scale;
168 }
169}
170
171void nnMatrixMulSub(const nnMatrix* left, const nnMatrix* right, R scale, nnMatrix* out) {
172 assert(left);
173 assert(right);
174 assert(out);
175 assert(left->rows == right->rows);
176 assert(left->cols == right->cols);
177 assert(left->rows == out->rows);
178 assert(left->cols == out->cols);
179
180 const R* left_value = left->values;
181 const R* right_value = right->values;
182 R* out_value = out->values;
183
184 for (int i = 0; i < left->rows * left->cols; ++i) {
185 *out_value++ = *left_value++ - *right_value++ * scale;
186 }
187}
188
189void nnMatrixMulPairs(const nnMatrix* left, const nnMatrix* right, nnMatrix* out) {
190 assert(left != 0);
191 assert(right != 0);
192 assert(out != 0);
193 assert(left->rows == right->rows);
194 assert(left->cols == right->cols);
195 assert(left->rows == out->rows);
196 assert(left->cols == out->cols);
197
198 R* left_value = left->values;
199 R* right_value = right->values;
200 R* out_value = out->values;
201
202 for (int i = 0; i < left->rows * left->cols; ++i) {
203 *out_value++ = *left_value++ * *right_value++;
204 }
205}
206
207void nnMatrixAdd(const nnMatrix* left, const nnMatrix* right, nnMatrix* out) {
208 assert(left);
209 assert(right);
210 assert(out);
211 assert(left->rows == right->rows);
212 assert(left->cols == right->cols);
213 assert(left->rows == out->rows);
214 assert(left->cols == out->cols);
215
216 const R* left_value = left->values;
217 const R* right_value = right->values;
218 R* out_value = out->values;
219
220 for (int i = 0; i < left->rows * left->cols; ++i) {
221 *out_value++ = *left_value++ + *right_value++;
222 }
223}
224
225void nnMatrixSub(const nnMatrix* left, const nnMatrix* right, nnMatrix* out) {
226 assert(left);
227 assert(right);
228 assert(out);
229 assert(left->rows == right->rows);
230 assert(left->cols == right->cols);
231 assert(left->rows == out->rows);
232 assert(left->cols == out->cols);
233
234 const R* left_value = left->values;
235 const R* right_value = right->values;
236 R* out_value = out->values;
237
238 for (int i = 0; i < left->rows * left->cols; ++i) {
239 *out_value++ = *left_value++ - *right_value++;
240 }
241}
242
243void nnMatrixAddRow(const nnMatrix* matrix, const nnMatrix* row, nnMatrix* out) {
244 assert(matrix);
245 assert(row);
246 assert(out);
247 assert(row->rows == 1);
248 assert(matrix->cols == row->cols);
249 assert(matrix->rows == out->rows);
250 assert(matrix->cols == out->cols);
251
252 const R* matrix_value = matrix->values;
253 R* out_value = out->values;
254
255 for (int i = 0; i < matrix->rows; ++i) {
256 const R* row_value = row->values;
257 for (int j = 0; j < row->cols; ++j) {
258 *out_value++ = *matrix_value++ + *row_value++;
259 }
260 }
261}
262
263void nnMatrixScale(nnMatrix* matrix, R scale) {
264 assert(matrix);
265
266 R* value = matrix->values;
267 for (int i = 0; i < matrix->rows * matrix->cols; ++i) {
268 *value++ *= scale;
269 }
270}
271
272void nnMatrixTranspose(const nnMatrix* in, nnMatrix* out) {
273 assert(in);
274 assert(out);
275 assert(in != out);
276 assert(in->rows == out->cols);
277 assert(in->cols == out->rows);
278
279 for (int i = 0; i < in->rows; ++i) {
280 for (int j = 0; j < in->cols; ++j) {
281 nnMatrixSet(out, j, i, nnMatrixAt(in, i, j));
282 }
283 }
284}
285
286void nnMatrixGt(const nnMatrix* in, R threshold, nnMatrix* out) {
287 assert(in);
288 assert(out);
289 assert(in->rows == out->rows);
290 assert(in->cols == out->cols);
291
292 const R* in_value = in->values;
293 R* out_value = out->values;
294
295 for (int i = 0; i < in->rows * in->cols; ++i) {
296 *out_value++ = (*in_value++) > threshold ? 1 : 0;
297 }
298}
diff --git a/src/lib/src/neuralnet.c b/src/lib/src/neuralnet.c
new file mode 100644
index 0000000..cac611a
--- /dev/null
+++ b/src/lib/src/neuralnet.c
@@ -0,0 +1,228 @@
1#include <neuralnet/neuralnet.h>
2
3#include <neuralnet/matrix.h>
4#include "activation.h"
5#include "neuralnet_impl.h"
6
7#include <assert.h>
8#include <stdlib.h>
9
10nnNeuralNetwork* nnMakeNet(int num_layers, const int* layer_sizes, const nnActivation* activations) {
11 assert(num_layers > 0);
12 assert(layer_sizes);
13 assert(activations);
14
15 nnNeuralNetwork* net = calloc(1, sizeof(nnNeuralNetwork));
16 if (net == 0) {
17 return 0;
18 }
19
20 net->num_layers = num_layers;
21
22 net->weights = calloc(num_layers, sizeof(nnMatrix));
23 net->biases = calloc(num_layers, sizeof(nnMatrix));
24 net->activations = calloc(num_layers, sizeof(nnActivation));
25 if ( (net->weights == 0) || (net->biases == 0) || (net->activations == 0) ) {
26 nnDeleteNet(&net);
27 return 0;
28 }
29
30 for (int l = 0; l < num_layers; ++l) {
31 // layer_sizes = { input layer size, first hidden layer size, ...}
32 const int layer_input_size = layer_sizes[l];
33 const int layer_output_size = layer_sizes[l+1];
34
35 // We store the transpose of the weight matrix as written in textbooks.
36 // Our vectors are row vectors and the matrices row-major.
37 const int rows = layer_input_size;
38 const int cols = layer_output_size;
39
40 net->weights[l] = nnMatrixMake(rows, cols);
41 net->biases[l] = nnMatrixMake(1, cols);
42 net->activations[l] = activations[l];
43 }
44
45 return net;
46}
47
48void nnDeleteNet(nnNeuralNetwork** net) {
49 if ( (!net) || (!(*net)) ) {
50 return;
51 }
52 if ((*net)->weights != 0) {
53 for (int l = 0; l < (*net)->num_layers; ++l) {
54 nnMatrixDel(&(*net)->weights[l]);
55 }
56 free((*net)->weights);
57 (*net)->weights = 0;
58 }
59 if ((*net)->biases != 0) {
60 for (int l = 0; l < (*net)->num_layers; ++l) {
61 nnMatrixDel(&(*net)->biases[l]);
62 }
63 free((*net)->biases);
64 (*net)->biases = 0;
65 }
66 if ((*net)->activations) {
67 free((*net)->activations);
68 (*net)->activations = 0;
69 }
70 free(*net);
71 *net = 0;
72}
73
74void nnSetWeights(nnNeuralNetwork* net, const R* weights) {
75 assert(net);
76 assert(weights);
77
78 for (int l = 0; l < net->num_layers; ++l) {
79 nnMatrix* layer_weights = &net->weights[l];
80 R* layer_values = layer_weights->values;
81
82 for (int j = 0; j < layer_weights->rows * layer_weights->cols; ++j) {
83 *layer_values++ = *weights++;
84 }
85 }
86}
87
88void nnSetBiases(nnNeuralNetwork* net, const R* biases) {
89 assert(net);
90 assert(biases);
91
92 for (int l = 0; l < net->num_layers; ++l) {
93 nnMatrix* layer_biases = &net->biases[l];
94 R* layer_values = layer_biases->values;
95
96 for (int j = 0; j < layer_biases->rows * layer_biases->cols; ++j) {
97 *layer_values++ = *biases++;
98 }
99 }
100}
101
102void nnQuery(const nnNeuralNetwork* net, nnQueryObject* query, const nnMatrix* input) {
103 assert(net);
104 assert(query);
105 assert(input);
106 assert(net->num_layers == query->num_layers);
107 assert(input->rows <= query->network_outputs->rows);
108 assert(input->cols == nnNetInputSize(net));
109
110 for (int i = 0; i < input->rows; ++i) {
111 // Not mutating the input, but we need the cast to borrow.
112 nnMatrix input_vector = nnMatrixBorrowRows((nnMatrix*)input, i, 1);
113
114 for (int l = 0; l < net->num_layers; ++l) {
115 const nnMatrix* layer_weights = &net->weights[l];
116 const nnMatrix* layer_biases = &net->biases[l];
117 // Y^T = (W*X)^T = X^T*W^T
118 //
119 // TODO: If we had a row-row matrix multiplication, we could compute:
120 // Y^T = W ** X^T
121 // The row-row multiplication could be more cache-friendly. We just need
122 // to store W as is, without transposing.
123 // We could also rewrite the original Mul function to go row x row,
124 // decomposing the multiplication. Preserving the original meaning of Mul
125 // makes everything clearer.
126 nnMatrix output_vector = nnMatrixBorrowRows(&query->layer_outputs[l], i, 1);
127 nnMatrixMul(&input_vector, layer_weights, &output_vector);
128 nnMatrixAddRow(&output_vector, layer_biases, &output_vector);
129
130 switch (net->activations[l]) {
131 case nnIdentity:
132 break; // Nothing to do for the identity function.
133 case nnSigmoid:
134 sigmoid_array(output_vector.values, output_vector.values, output_vector.cols);
135 break;
136 case nnRelu:
137 relu_array(output_vector.values, output_vector.values, output_vector.cols);
138 break;
139 default:
140 assert(0);
141 }
142
143 input_vector = output_vector; // Borrow.
144 }
145 }
146}
147
148void nnQueryArray(const nnNeuralNetwork* net, nnQueryObject* query, const R* input, R* output) {
149 assert(net);
150 assert(query);
151 assert(input);
152 assert(output);
153 assert(net->num_layers > 0);
154
155 nnMatrix input_vector = nnMatrixMake(net->weights[0].cols, 1);
156 nnMatrixInit(&input_vector, input);
157 nnQuery(net, query, &input_vector);
158 nnMatrixRowToArray(query->network_outputs, 0, output);
159}
160
161nnQueryObject* nnMakeQueryObject(const nnNeuralNetwork* net, int num_inputs) {
162 assert(net);
163 assert(num_inputs > 0);
164 assert(net->num_layers > 0);
165
166 nnQueryObject* query = calloc(1, sizeof(nnQueryObject));
167 if (!query) {
168 return 0;
169 }
170
171 query->num_layers = net->num_layers;
172
173 // Allocate the intermediate layer output matrices.
174 query->layer_outputs = calloc(net->num_layers, sizeof(nnMatrix));
175 if (!query->layer_outputs) {
176 free(query);
177 return 0;
178 }
179 for (int l = 0; l < net->num_layers; ++l) {
180 const nnMatrix* layer_weights = &net->weights[l];
181 const int layer_output_size = nnLayerOutputSize(layer_weights);
182 query->layer_outputs[l] = nnMatrixMake(num_inputs, layer_output_size);
183 }
184 query->network_outputs = &query->layer_outputs[net->num_layers - 1];
185
186 return query;
187}
188
189void nnDeleteQueryObject(nnQueryObject** query) {
190 if ( (!query) || (!(*query)) ) {
191 return;
192 }
193 if ((*query)->layer_outputs != 0) {
194 for (int l = 0; l < (*query)->num_layers; ++l) {
195 nnMatrixDel(&(*query)->layer_outputs[l]);
196 }
197 }
198 free((*query)->layer_outputs);
199 free(*query);
200 *query = 0;
201}
202
203const nnMatrix* nnNetOutputs(const nnQueryObject* query) {
204 assert(query);
205 return query->network_outputs;
206}
207
208int nnNetInputSize(const nnNeuralNetwork* net) {
209 assert(net);
210 assert(net->num_layers > 0);
211 return net->weights[0].rows;
212}
213
214int nnNetOutputSize(const nnNeuralNetwork* net) {
215 assert(net);
216 assert(net->num_layers > 0);
217 return net->weights[net->num_layers - 1].cols;
218}
219
220int nnLayerInputSize(const nnMatrix* weights) {
221 assert(weights);
222 return weights->rows;
223}
224
225int nnLayerOutputSize(const nnMatrix* weights) {
226 assert(weights);
227 return weights->cols;
228}
diff --git a/src/lib/src/neuralnet_impl.h b/src/lib/src/neuralnet_impl.h
new file mode 100644
index 0000000..26107b5
--- /dev/null
+++ b/src/lib/src/neuralnet_impl.h
@@ -0,0 +1,36 @@
1#pragma once
2
3#include <neuralnet/matrix.h>
4
5/// Neural network object.
6///
7/// We store the transposes of the weight matrices so that we can do forward
8/// passes with a minimal amount of work. That is, if in paper we write:
9///
10/// [w11 w21]
11/// [w12 w22]
12///
13/// then the weight matrix in memory is stored as the following array:
14///
15/// w11 w12 w21 w22
16typedef struct nnNeuralNetwork {
17 int num_layers; // Number of non-input layers (hidden + output).
18 nnMatrix* weights; // One matrix per non-input layer.
19 nnMatrix* biases; // One vector per non-input layer.
20 nnActivation* activations; // One per non-input layer.
21} nnNeuralNetwork;
22
23/// A query object that holds all the memory necessary to query a network.
24///
25/// |layer_outputs| is an array of matrices of intermediate layer outputs. There
26/// is one matrix per intermediate layer. Each matrix holds the layer's output,
27/// with one row per input, and as many columns as the layer's output size (the
28/// output vector is transposed.)
29///
30/// |network_outputs| points to the last output matrix in |layer_outputs| for
31/// convenience.
32typedef struct nnQueryObject {
33 int num_layers;
34 nnMatrix* layer_outputs; // Output matrices, one output per layer.
35 nnMatrix* network_outputs; // Points to the last output matrix.
36} nnTrainingQueryObject;
diff --git a/src/lib/src/train.c b/src/lib/src/train.c
new file mode 100644
index 0000000..027de66
--- /dev/null
+++ b/src/lib/src/train.c
@@ -0,0 +1,346 @@
1#include <neuralnet/train.h>
2
3#include <neuralnet/matrix.h>
4#include "neuralnet_impl.h"
5
6#include <random/mt19937-64.h>
7#include <random/normal.h>
8
9#include <assert.h>
10#include <math.h>
11#include <stdlib.h>
12
13#include <stdio.h>
14#define LOGD printf
15
16// If debug mode is requested, we will show progress every this many iterations.
17static const int PROGRESS_THRESHOLD = 5; // %
18
19/// Computes the total MSE from the output error matrix.
20R ComputeMSE(const nnMatrix* errors) {
21 R sum_sq = 0;
22 const int N = errors->rows * errors->cols;
23 const R* value = errors->values;
24 for (int i = 0; i < N; ++i) {
25 sum_sq += *value * *value;
26 value++;
27 }
28 return sum_sq / (R)N;
29}
30
31/// Holds the bits required to compute a sigmoid gradient.
32typedef struct nnSigmoidGradientElements {
33 nnMatrix ones; // A vector of just ones, same size as the layer.
34} nnSigmoidGradientElements;
35
36/// Holds the various elements required to compute gradients. These depend on
37/// what activation function are used, so they'll potentially be different for
38/// each layer. A data type is defined for these because we allocate all the
39/// required memory up front before entering the training loop.
40typedef struct nnGradientElements {
41 nnActivation type;
42 // Gradient vector, same size as the layer.
43 // This will contain the gradient expression except for the output value of
44 // the previous layer.
45 nnMatrix gradient;
46 union {
47 nnSigmoidGradientElements sigmoid;
48 };
49} nnGradientElements;
50
51// Initialize the network's weights randomly and set their biases to 0.
52void nnInitNet(nnNeuralNetwork* net, uint64_t seed, const nnWeightInitStrategy strategy) {
53 assert(net);
54
55 mt19937_64 rng = mt19937_64_make();
56 mt19937_64_init(&rng, seed);
57
58 for (int l = 0; l < net->num_layers; ++l) {
59 nnMatrix* weights = &net->weights[l];
60 nnMatrix* biases = &net->biases[l];
61
62 const R layer_size = (R)nnLayerInputSize(weights);
63 const R scale = 1. / layer_size;
64 const R stdev = 1. / sqrt((R)layer_size);
65 const R sigma = stdev * stdev;
66
67 R* value = weights->values;
68 for (int k = 0; k < weights->rows * weights->cols; ++k) {
69 switch (strategy) {
70 case nnWeightInit01: {
71 const R x01 = mt19937_64_gen_real3(&rng); // (0, +1) interval.
72 *value++ = scale * x01;
73 break;
74 }
75 case nnWeightInit11: {
76 const R x11 = mt19937_64_gen_real4(&rng); // (-1, +1) interval.
77 *value++ = scale * x11;
78 break;
79 }
80 case nnWeightInitNormal:
81 // Using initialization with a normal distribution of standard
82 // deviation 1 / sqrt(num_layer_weights) to prevent saturation when
83 // multiplying inputs.
84 const R u01 = mt19937_64_gen_real3(&rng); // (0, +1) interval.
85 const R v01 = mt19937_64_gen_real3(&rng); // (0, +1) interval.
86 R z0, z1;
87 normal2(u01, v01, &z0, &z1);
88 z0 = normal_transform(z0, /*mu=*/0, sigma);
89 z1 = normal_transform(z1, /*mu=*/0, sigma);
90 *value++ = z0;
91 if (k < weights->rows * weights->cols - 1) {
92 *value++ = z1;
93 ++k;
94 }
95 break;
96 default:
97 assert(false);
98 }
99 }
100
101 // Initialize biases.
102 // 0 is used so that functions originally go through the origin.
103 value = biases->values;
104 for (int k = 0; k < biases->rows * biases->cols; ++k, ++value) {
105 *value = 0;
106 }
107 }
108}
109
110// |inputs| has one row vector per sample.
111// |targets| has one row vector per sample.
112//
113// For now, each iteration trains with one sample (row) at a time.
114void nnTrain(
115 nnNeuralNetwork* net,
116 const nnMatrix* inputs,
117 const nnMatrix* targets,
118 const nnTrainingParams* params) {
119 assert(net);
120 assert(inputs);
121 assert(targets);
122 assert(params);
123 assert(nnNetOutputSize(net) == targets->cols);
124 assert(net->num_layers > 0);
125
126 // Allocate error vectors to hold the backpropagated error values.
127 // For now, these are one row vector per layer, meaning that we will train
128 // with one sample at a time.
129 nnMatrix* errors = calloc(net->num_layers, sizeof(nnMatrix));
130
131 // Allocate the weight transpose matrices up front for backpropagation.
132 nnMatrix* weights_T = calloc(net->num_layers, sizeof(nnMatrix));
133
134 // Allocate the weight delta matrices.
135 nnMatrix* weight_deltas = calloc(net->num_layers, sizeof(nnMatrix));
136
137 // Allocate the data structures required to compute gradients.
138 // This depends on each layer's activation type.
139 nnGradientElements* gradient_elems = calloc(net->num_layers, sizeof(nnGradientElements));
140
141 // Allocate the output transpose vectors for weight delta calculation.
142 // This is one column vector per layer.
143 nnMatrix* outputs_T = calloc(net->num_layers, sizeof(nnMatrix));
144
145 assert(errors != 0);
146 assert(weights_T != 0);
147 assert(weight_deltas != 0);
148 assert(gradient_elems);
149 assert(outputs_T);
150
151 for (int l = 0; l < net->num_layers; ++l) {
152 const nnMatrix* layer_weights = &net->weights[l];
153 const int layer_output_size = net->weights[l].cols;
154 const nnActivation activation = net->activations[l];
155
156 errors[l] = nnMatrixMake(1, layer_weights->cols);
157
158 weights_T[l] = nnMatrixMake(layer_weights->cols, layer_weights->rows);
159 nnMatrixTranspose(layer_weights, &weights_T[l]);
160
161 weight_deltas[l] = nnMatrixMake(layer_weights->rows, layer_weights->cols);
162
163 outputs_T[l] = nnMatrixMake(layer_output_size, 1);
164
165 // Allocate the gradient elements and vectors for weight delta calculation.
166 nnGradientElements* elems = &gradient_elems[l];
167 elems->type = activation;
168 switch (activation) {
169 case nnIdentity:
170 break; // Gradient vector will be borrowed, no need to allocate.
171
172 case nnSigmoid:
173 elems->gradient = nnMatrixMake(1, layer_output_size);
174 // Allocate the 1s vectors.
175 elems->sigmoid.ones = nnMatrixMake(1, layer_output_size);
176 nnMatrixInitConstant(&elems->sigmoid.ones, 1);
177 break;
178
179 case nnRelu:
180 elems->gradient = nnMatrixMake(1, layer_output_size);
181 break;
182 }
183 }
184
185 // Construct the query object with a size of 1 since we are training with one
186 // sample at a time.
187 nnQueryObject* query = nnMakeQueryObject(net, 1);
188
189 // Network outputs are given by the query object. Every network query updates
190 // the outputs.
191 const nnMatrix* const training_outputs = query->network_outputs;
192
193 // A vector to store the training input transposed.
194 nnMatrix training_inputs_T = nnMatrixMake(inputs->cols, 1);
195
196 // If debug mode is requested, we will show progress every Nth iteration.
197 const int progress_frame =
198 (params->max_iterations < PROGRESS_THRESHOLD)
199 ? 1
200 : (params->max_iterations * PROGRESS_THRESHOLD / 100);
201
202 // --- TRAIN
203
204 nnInitNet(net, params->seed, params->weight_init);
205
206 for (int iter = 0; iter < params->max_iterations; ++iter) {
207
208 // For now, we train with one sample at a time.
209 for (int sample = 0; sample < inputs->rows; ++sample) {
210 // Slice the input and target matrices with the batch size.
211 // We are not mutating the inputs, but we need the cast to borrow.
212 nnMatrix training_inputs = nnMatrixBorrowRows((nnMatrix*)inputs, sample, 1);
213 nnMatrix training_targets = nnMatrixBorrowRows((nnMatrix*)targets, sample, 1);
214
215 // Will need the input transposed for backpropagation.
216 // Assuming one training input per iteration for now.
217 nnMatrixTranspose(&training_inputs, &training_inputs_T);
218
219 // Run a forward pass and compute the output layer error.
220 // We don't square the error here; instead, we just compute t-o, which is
221 // part of the derivative, -2(t-o). Also, we compute o-t instead to
222 // remove that outer negative sign.
223 nnQuery(net, query, &training_inputs);
224 //nnMatrixSub(&training_targets, training_outputs, &errors[net->num_layers - 1]);
225 nnMatrixSub(training_outputs, &training_targets, &errors[net->num_layers - 1]);
226
227 // Update outputs_T, which we need during weight updates.
228 for (int l = 0; l < net->num_layers; ++l) {
229 nnMatrixTranspose(&query->layer_outputs[l], &outputs_T[l]);
230 }
231
232 // Update weights and biases for each internal layer, backpropagating
233 // errors along the way.
234 for (int l = net->num_layers - 1; l >= 0; --l) {
235 const nnMatrix* layer_output = &query->layer_outputs[l];
236 nnMatrix* layer_weights = &net->weights[l];
237 nnMatrix* layer_biases = &net->biases[l];
238 nnGradientElements* elems = &gradient_elems[l];
239 nnMatrix* gradient = &elems->gradient;
240 const nnActivation activation = net->activations[l];
241
242 // Compute the gradient (the part of the expression that does not
243 // contain the output of the previous layer).
244 //
245 // Identity: G = error_k
246 // Sigmoid: G = error_k * output_k * (1 - output_k).
247 // Relu: G = error_k * (output_k > 0 ? 1 : 0)
248 switch (activation) {
249 case nnIdentity:
250 // TODO: Just copy the pointer?
251 *gradient = nnMatrixBorrow(&errors[l]);
252 break;
253 case nnSigmoid:
254 nnMatrixSub(&elems->sigmoid.ones, layer_output, gradient);
255 nnMatrixMulPairs(layer_output, gradient, gradient);
256 nnMatrixMulPairs(&errors[l], gradient, gradient);
257 break;
258 case nnRelu:
259 nnMatrixGt(layer_output, 0, gradient);
260 nnMatrixMulPairs(&errors[l], gradient, gradient);
261 break;
262 }
263
264 // Outer product to compute the weight deltas.
265 const nnMatrix* output_T = (l == 0) ? &training_inputs_T : &outputs_T[l-1];
266 nnMatrixMul(output_T, gradient, &weight_deltas[l]);
267
268 // Backpropagate the error before updating weights.
269 if (l > 0) {
270 nnMatrixMul(gradient, &weights_T[l], &errors[l-1]);
271 }
272
273 // Update weights.
274 nnMatrixScale(&weight_deltas[l], params->learning_rate);
275 // The gradient has a negative sign from -(t - o), but we have computed
276 // e = o - t instead, so we can subtract directly.
277 //nnMatrixAdd(layer_weights, &weight_deltas[l], layer_weights);
278 nnMatrixSub(layer_weights, &weight_deltas[l], layer_weights);
279
280 // Update weight transpose matrix for the next training iteration.
281 nnMatrixTranspose(layer_weights, &weights_T[l]);
282
283 // Update biases.
284 // This is the same formula as for weights, except that the o_j term is
285 // just 1. We can simply re-use the gradient that we have already
286 // computed for the weight update.
287 //nnMatrixMulAdd(layer_biases, gradient, params->learning_rate, layer_biases);
288 nnMatrixMulSub(layer_biases, gradient, params->learning_rate, layer_biases);
289 }
290
291 // TODO: Add this under a verbose debugging mode.
292 // if (params->debug) {
293 // LOGD("Iter: %d, Sample: %d, Error: %f\n", iter, sample, ComputeMSE(&errors[net->num_layers - 1]));
294 // LOGD("TGT: ");
295 // for (int i = 0; i < training_targets.cols; ++i) {
296 // printf("%.3f ", training_targets.values[i]);
297 // }
298 // printf("\n");
299 // LOGD("OUT: ");
300 // for (int i = 0; i < training_outputs->cols; ++i) {
301 // printf("%.3f ", training_outputs->values[i]);
302 // }
303 // printf("\n");
304 // }
305 }
306
307 if (params->debug && ((iter % progress_frame) == 0)) {
308 LOGD("Iter: %d/%d, Error: %f\n",
309 iter, params->max_iterations, ComputeMSE(&errors[net->num_layers - 1]));
310 }
311 }
312
313 // Print the final error.
314 if (params->debug) {
315 LOGD("Iter: %d/%d, Error: %f\n",
316 params->max_iterations, params->max_iterations, ComputeMSE(&errors[net->num_layers - 1]));
317 }
318
319 for (int l = 0; l < net->num_layers; ++l) {
320 nnMatrixDel(&errors[l]);
321 nnMatrixDel(&outputs_T[l]);
322 nnMatrixDel(&weights_T[l]);
323 nnMatrixDel(&weight_deltas[l]);
324
325 nnGradientElements* elems = &gradient_elems[l];
326 switch (elems->type) {
327 case nnIdentity:
328 break; // Gradient vector is borrowed, no need to deallocate.
329
330 case nnSigmoid:
331 nnMatrixDel(&elems->gradient);
332 nnMatrixDel(&elems->sigmoid.ones);
333 break;
334
335 case nnRelu:
336 nnMatrixDel(&elems->gradient);
337 break;
338 }
339 }
340 nnMatrixDel(&training_inputs_T);
341 free(errors);
342 free(outputs_T);
343 free(weights_T);
344 free(weight_deltas);
345 free(gradient_elems);
346}
diff --git a/src/lib/test/matrix_test.c b/src/lib/test/matrix_test.c
new file mode 100644
index 0000000..8191c97
--- /dev/null
+++ b/src/lib/test/matrix_test.c
@@ -0,0 +1,350 @@
1#include <neuralnet/matrix.h>
2
3#include "test.h"
4#include "test_util.h"
5
6#include <assert.h>
7#include <stdlib.h>
8
9// static void PrintMatrix(const nnMatrix* matrix) {
10// assert(matrix);
11
12// for (int i = 0; i < matrix->rows; ++i) {
13// for (int j = 0; j < matrix->cols; ++j) {
14// printf("%f ", nnMatrixAt(matrix, i, j));
15// }
16// printf("\n");
17// }
18// }
19
20TEST_CASE(nnMatrixMake_1x1) {
21 nnMatrix A = nnMatrixMake(1, 1);
22 TEST_EQUAL(A.rows, 1);
23 TEST_EQUAL(A.cols, 1);
24}
25
26TEST_CASE(nnMatrixMake_3x1) {
27 nnMatrix A = nnMatrixMake(3, 1);
28 TEST_EQUAL(A.rows, 3);
29 TEST_EQUAL(A.cols, 1);
30}
31
32TEST_CASE(nnMatrixInit_3x1) {
33 nnMatrix A = nnMatrixMake(3, 1);
34 nnMatrixInit(&A, (R[]) { 1, 2, 3 });
35 TEST_EQUAL(A.values[0], 1);
36 TEST_EQUAL(A.values[1], 2);
37 TEST_EQUAL(A.values[2], 3);
38}
39
40TEST_CASE(nnMatrixCopyCol_test) {
41 nnMatrix A = nnMatrixMake(3, 2);
42 nnMatrix B = nnMatrixMake(3, 1);
43
44 nnMatrixInit(&A, (R[]) {
45 1, 2,
46 3, 4,
47 5, 6,
48 });
49
50 nnMatrixCopyCol(&A, &B, 1, 0);
51
52 TEST_EQUAL(nnMatrixAt(&B, 0, 0), 2);
53 TEST_EQUAL(nnMatrixAt(&B, 1, 0), 4);
54 TEST_EQUAL(nnMatrixAt(&B, 2, 0), 6);
55
56 nnMatrixDel(&A);
57 nnMatrixDel(&B);
58}
59
60TEST_CASE(nnMatrixMul_square_3x3) {
61 nnMatrix A = nnMatrixMake(3, 3);
62 nnMatrix B = nnMatrixMake(3, 3);
63 nnMatrix O = nnMatrixMake(3, 3);
64
65 nnMatrixInit(&A, (const R[]){
66 1, 2, 3,
67 4, 5, 6,
68 7, 8, 9,
69 });
70 nnMatrixInit(&B, (const R[]){
71 2, 4, 3,
72 6, 8, 5,
73 1, 7, 9,
74 });
75 nnMatrixMul(&A, &B, &O);
76
77 const R expected[3][3] = {
78 { 17, 41, 40 },
79 { 44, 98, 91 },
80 { 71, 155, 142 },
81 };
82 for (int i = 0; i < O.rows; ++i) {
83 for (int j = 0; j < O.cols; ++j) {
84 TEST_TRUE(double_eq(nnMatrixAt(&O, i, j), expected[i][j], EPS));
85 }
86 }
87
88 nnMatrixDel(&A);
89 nnMatrixDel(&B);
90 nnMatrixDel(&O);
91}
92
93TEST_CASE(nnMatrixMul_non_square_2x3_3x1) {
94 nnMatrix A = nnMatrixMake(2, 3);
95 nnMatrix B = nnMatrixMake(3, 1);
96 nnMatrix O = nnMatrixMake(2, 1);
97
98 nnMatrixInit(&A, (const R[]){
99 1, 2, 3,
100 4, 5, 6,
101 });
102 nnMatrixInit(&B, (const R[]){
103 2,
104 6,
105 1,
106 });
107 nnMatrixMul(&A, &B, &O);
108
109 const R expected[2][1] = {
110 { 17 },
111 { 44 },
112 };
113 for (int i = 0; i < O.rows; ++i) {
114 for (int j = 0; j < O.cols; ++j) {
115 TEST_TRUE(double_eq(nnMatrixAt(&O, i, j), expected[i][j], EPS));
116 }
117 }
118
119 nnMatrixDel(&A);
120 nnMatrixDel(&B);
121 nnMatrixDel(&O);
122}
123
124TEST_CASE(nnMatrixMulAdd_test) {
125 nnMatrix A = nnMatrixMake(2, 3);
126 nnMatrix B = nnMatrixMake(2, 3);
127 nnMatrix O = nnMatrixMake(2, 3);
128 const R scale = 2;
129
130 nnMatrixInit(&A, (const R[]){
131 1, 2, 3,
132 4, 5, 6,
133 });
134 nnMatrixInit(&B, (const R[]){
135 2, 3, 1,
136 7, 4, 3
137 });
138 nnMatrixMulAdd(&A, &B, scale, &O); // O = A + B * scale
139
140 const R expected[2][3] = {
141 { 5, 8, 5 },
142 { 18, 13, 12 },
143 };
144 for (int i = 0; i < O.rows; ++i) {
145 for (int j = 0; j < O.cols; ++j) {
146 TEST_TRUE(double_eq(nnMatrixAt(&O, i, j), expected[i][j], EPS));
147 }
148 }
149
150 nnMatrixDel(&A);
151 nnMatrixDel(&B);
152 nnMatrixDel(&O);
153}
154
155TEST_CASE(nnMatrixMulSub_test) {
156 nnMatrix A = nnMatrixMake(2, 3);
157 nnMatrix B = nnMatrixMake(2, 3);
158 nnMatrix O = nnMatrixMake(2, 3);
159 const R scale = 2;
160
161 nnMatrixInit(&A, (const R[]){
162 1, 2, 3,
163 4, 5, 6,
164 });
165 nnMatrixInit(&B, (const R[]){
166 2, 3, 1,
167 7, 4, 3
168 });
169 nnMatrixMulSub(&A, &B, scale, &O); // O = A - B * scale
170
171 const R expected[2][3] = {
172 { -3, -4, 1 },
173 { -10, -3, 0 },
174 };
175 for (int i = 0; i < O.rows; ++i) {
176 for (int j = 0; j < O.cols; ++j) {
177 TEST_TRUE(double_eq(nnMatrixAt(&O, i, j), expected[i][j], EPS));
178 }
179 }
180
181 nnMatrixDel(&A);
182 nnMatrixDel(&B);
183 nnMatrixDel(&O);
184}
185
186TEST_CASE(nnMatrixMulPairs_2x3) {
187 nnMatrix A = nnMatrixMake(2, 3);
188 nnMatrix B = nnMatrixMake(2, 3);
189 nnMatrix O = nnMatrixMake(2, 3);
190
191 nnMatrixInit(&A, (const R[]){
192 1, 2, 3,
193 4, 5, 6,
194 });
195 nnMatrixInit(&B, (const R[]){
196 2, 3, 1,
197 7, 4, 3
198 });
199 nnMatrixMulPairs(&A, &B, &O);
200
201 const R expected[2][3] = {
202 { 2, 6, 3 },
203 { 28, 20, 18 },
204 };
205 for (int i = 0; i < O.rows; ++i) {
206 for (int j = 0; j < O.cols; ++j) {
207 TEST_TRUE(double_eq(nnMatrixAt(&O, i, j), expected[i][j], EPS));
208 }
209 }
210
211 nnMatrixDel(&A);
212 nnMatrixDel(&B);
213 nnMatrixDel(&O);
214}
215
216TEST_CASE(nnMatrixAdd_square_2x2) {
217 nnMatrix A = nnMatrixMake(2, 2);
218 nnMatrix B = nnMatrixMake(2, 2);
219 nnMatrix C = nnMatrixMake(2, 2);
220
221 nnMatrixInit(&A, (R[]) {
222 1, 2,
223 3, 4,
224 });
225 nnMatrixInit(&B, (R[]) {
226 2, 1,
227 5, 3,
228 });
229
230 nnMatrixAdd(&A, &B, &C);
231
232 TEST_TRUE(double_eq(nnMatrixAt(&C, 0, 0), 3, EPS));
233 TEST_TRUE(double_eq(nnMatrixAt(&C, 0, 1), 3, EPS));
234 TEST_TRUE(double_eq(nnMatrixAt(&C, 1, 0), 8, EPS));
235 TEST_TRUE(double_eq(nnMatrixAt(&C, 1, 1), 7, EPS));
236
237 nnMatrixDel(&A);
238 nnMatrixDel(&B);
239 nnMatrixDel(&C);
240}
241
242TEST_CASE(nnMatrixSub_square_2x2) {
243 nnMatrix A = nnMatrixMake(2, 2);
244 nnMatrix B = nnMatrixMake(2, 2);
245 nnMatrix C = nnMatrixMake(2, 2);
246
247 nnMatrixInit(&A, (R[]) {
248 1, 2,
249 3, 4,
250 });
251 nnMatrixInit(&B, (R[]) {
252 2, 1,
253 5, 3,
254 });
255
256 nnMatrixSub(&A, &B, &C);
257
258 TEST_TRUE(double_eq(nnMatrixAt(&C, 0, 0), -1, EPS));
259 TEST_TRUE(double_eq(nnMatrixAt(&C, 0, 1), +1, EPS));
260 TEST_TRUE(double_eq(nnMatrixAt(&C, 1, 0), -2, EPS));
261 TEST_TRUE(double_eq(nnMatrixAt(&C, 1, 1), +1, EPS));
262
263 nnMatrixDel(&A);
264 nnMatrixDel(&B);
265 nnMatrixDel(&C);
266}
267
268TEST_CASE(nnMatrixAddRow_test) {
269 nnMatrix A = nnMatrixMake(2, 3);
270 nnMatrix B = nnMatrixMake(1, 3);
271 nnMatrix C = nnMatrixMake(2, 3);
272
273 nnMatrixInit(&A, (R[]) {
274 1, 2, 3,
275 4, 5, 6,
276 });
277 nnMatrixInit(&B, (R[]) {
278 2, 1, 3,
279 });
280
281 nnMatrixAddRow(&A, &B, &C);
282
283 TEST_TRUE(double_eq(nnMatrixAt(&C, 0, 0), 3, EPS));
284 TEST_TRUE(double_eq(nnMatrixAt(&C, 0, 1), 3, EPS));
285 TEST_TRUE(double_eq(nnMatrixAt(&C, 0, 2), 6, EPS));
286 TEST_TRUE(double_eq(nnMatrixAt(&C, 1, 0), 6, EPS));
287 TEST_TRUE(double_eq(nnMatrixAt(&C, 1, 1), 6, EPS));
288 TEST_TRUE(double_eq(nnMatrixAt(&C, 1, 2), 9, EPS));
289
290 nnMatrixDel(&A);
291 nnMatrixDel(&B);
292 nnMatrixDel(&C);
293}
294
295TEST_CASE(nnMatrixTranspose_square_2x2) {
296 nnMatrix A = nnMatrixMake(2, 2);
297 nnMatrix B = nnMatrixMake(2, 2);
298
299 nnMatrixInit(&A, (R[]) {
300 1, 2,
301 3, 4
302 });
303
304 nnMatrixTranspose(&A, &B);
305 TEST_TRUE(double_eq(nnMatrixAt(&B, 0, 0), 1, EPS));
306 TEST_TRUE(double_eq(nnMatrixAt(&B, 0, 1), 3, EPS));
307 TEST_TRUE(double_eq(nnMatrixAt(&B, 1, 0), 2, EPS));
308 TEST_TRUE(double_eq(nnMatrixAt(&B, 1, 1), 4, EPS));
309
310 nnMatrixDel(&A);
311 nnMatrixDel(&B);
312}
313
314TEST_CASE(nnMatrixTranspose_non_square_2x1) {
315 nnMatrix A = nnMatrixMake(2, 1);
316 nnMatrix B = nnMatrixMake(1, 2);
317
318 nnMatrixInit(&A, (R[]) {
319 1,
320 3,
321 });
322
323 nnMatrixTranspose(&A, &B);
324 TEST_TRUE(double_eq(nnMatrixAt(&B, 0, 0), 1, EPS));
325 TEST_TRUE(double_eq(nnMatrixAt(&B, 0, 1), 3, EPS));
326
327 nnMatrixDel(&A);
328 nnMatrixDel(&B);
329}
330
331TEST_CASE(nnMatrixGt_test) {
332 nnMatrix A = nnMatrixMake(2, 3);
333 nnMatrix B = nnMatrixMake(2, 3);
334
335 nnMatrixInit(&A, (R[]) {
336 -3, 2, 0,
337 4, -1, 5
338 });
339
340 nnMatrixGt(&A, 0, &B);
341 TEST_TRUE(double_eq(nnMatrixAt(&B, 0, 0), 0, EPS));
342 TEST_TRUE(double_eq(nnMatrixAt(&B, 0, 1), 1, EPS));
343 TEST_TRUE(double_eq(nnMatrixAt(&B, 0, 2), 0, EPS));
344 TEST_TRUE(double_eq(nnMatrixAt(&B, 1, 0), 1, EPS));
345 TEST_TRUE(double_eq(nnMatrixAt(&B, 1, 1), 0, EPS));
346 TEST_TRUE(double_eq(nnMatrixAt(&B, 1, 2), 1, EPS));
347
348 nnMatrixDel(&A);
349 nnMatrixDel(&B);
350}
diff --git a/src/lib/test/neuralnet_test.c b/src/lib/test/neuralnet_test.c
new file mode 100644
index 0000000..14d9438
--- /dev/null
+++ b/src/lib/test/neuralnet_test.c
@@ -0,0 +1,92 @@
1#include <neuralnet/neuralnet.h>
2
3#include <neuralnet/matrix.h>
4#include "activation.h"
5#include "neuralnet_impl.h"
6
7#include "test.h"
8#include "test_util.h"
9
10#include <assert.h>
11
12TEST_CASE(neuralnet_perceptron_test) {
13 const int num_layers = 1;
14 const int layer_sizes[] = { 1, 1 };
15 const nnActivation layer_activations[] = { nnSigmoid };
16 const R weights[] = { 0.3 };
17
18 nnNeuralNetwork* net = nnMakeNet(num_layers, layer_sizes, layer_activations);
19 assert(net);
20 nnSetWeights(net, weights);
21
22 nnQueryObject* query = nnMakeQueryObject(net, /*num_inputs=*/1);
23
24 const R input[] = { 0.9 };
25 R output[1];
26 nnQueryArray(net, query, input, output);
27
28 const R expected_output = sigmoid(input[0] * weights[0]);
29 printf("\nOutput: %f, Expected: %f\n", output[0], expected_output);
30 TEST_TRUE(double_eq(output[0], expected_output, EPS));
31
32 nnDeleteQueryObject(&query);
33 nnDeleteNet(&net);
34}
35
36TEST_CASE(neuralnet_xor_test) {
37 const int num_layers = 2;
38 const int layer_sizes[] = { 2, 2, 1 };
39 const nnActivation layer_activations[] = { nnRelu, nnIdentity };
40 const R weights[] = {
41 1, 1, 1, 1, // First (hidden) layer.
42 1, -2 // Second (output) layer.
43 };
44 const R biases[] = {
45 0, -1, // First (hidden) layer.
46 0 // Second (output) layer.
47 };
48
49 nnNeuralNetwork* net = nnMakeNet(num_layers, layer_sizes, layer_activations);
50 assert(net);
51 nnSetWeights(net, weights);
52 nnSetBiases(net, biases);
53
54 // First layer weights.
55 TEST_EQUAL(nnMatrixAt(&net->weights[0], 0, 0), 1);
56 TEST_EQUAL(nnMatrixAt(&net->weights[0], 0, 1), 1);
57 TEST_EQUAL(nnMatrixAt(&net->weights[0], 0, 2), 1);
58 TEST_EQUAL(nnMatrixAt(&net->weights[0], 0, 3), 1);
59 // Second layer weights.
60 TEST_EQUAL(nnMatrixAt(&net->weights[1], 0, 0), 1);
61 TEST_EQUAL(nnMatrixAt(&net->weights[1], 0, 1), -2);
62 // First layer biases.
63 TEST_EQUAL(nnMatrixAt(&net->biases[0], 0, 0), 0);
64 TEST_EQUAL(nnMatrixAt(&net->biases[0], 0, 1), -1);
65 // Second layer biases.
66 TEST_EQUAL(nnMatrixAt(&net->biases[1], 0, 0), 0);
67
68 // Test.
69
70 #define M 4
71
72 nnQueryObject* query = nnMakeQueryObject(net, /*num_inputs=*/M);
73
74 const R test_inputs[M][2] = { { 0., 0. }, { 1., 0. }, { 0., 1. }, { 1., 1. } };
75 nnMatrix test_inputs_matrix = nnMatrixMake(M, 2);
76 nnMatrixInit(&test_inputs_matrix, (const R*)test_inputs);
77 nnQuery(net, query, &test_inputs_matrix);
78
79 const R expected_outputs[M] = { 0., 1., 1., 0. };
80 for (int i = 0; i < M; ++i) {
81 const R test_output = nnMatrixAt(nnNetOutputs(query), i, 0);
82 printf("\nInput: (%f, %f), Output: %f, Expected: %f\n",
83 test_inputs[i][0], test_inputs[i][1], test_output, expected_outputs[i]);
84 }
85 for (int i = 0; i < M; ++i) {
86 const R test_output = nnMatrixAt(nnNetOutputs(query), i, 0);
87 TEST_TRUE(double_eq(test_output, expected_outputs[i], OUTPUT_EPS));
88 }
89
90 nnDeleteQueryObject(&query);
91 nnDeleteNet(&net);
92}
diff --git a/src/lib/test/test.h b/src/lib/test/test.h
new file mode 100644
index 0000000..fd8dc22
--- /dev/null
+++ b/src/lib/test/test.h
@@ -0,0 +1,185 @@
1// SPDX-License-Identifier: MIT
2#pragma once
3
4#ifdef UNIT_TEST
5
6#include <stdbool.h>
7#include <stdio.h>
8#include <stdlib.h>
9#include <string.h>
10
11#if defined(__DragonFly__) || defined(__FreeBSD__) || defined(__FreeBSD_kernel__) || \
12 defined(__NetBSD__) || defined(__OpenBSD__)
13#define USE_SYSCTL_FOR_ARGS 1
14// clang-format off
15#include <sys/types.h>
16#include <sys/sysctl.h>
17// clang-format on
18#include <unistd.h> // getpid
19#endif
20
21struct test_file_metadata;
22
23struct test_failure {
24 bool present;
25 const char *message;
26 const char *file;
27 int line;
28};
29
30struct test_case_metadata {
31 void (*fn)(struct test_case_metadata *, struct test_file_metadata *);
32 struct test_failure failure;
33 const char *name;
34 struct test_case_metadata *next;
35};
36
37struct test_file_metadata {
38 bool registered;
39 const char *name;
40 struct test_file_metadata *next;
41 struct test_case_metadata *tests;
42};
43
44struct test_file_metadata __attribute__((weak)) * test_file_head;
45
46#define SET_FAILURE(_message) \
47 metadata->failure = (struct test_failure) { \
48 .message = _message, .file = __FILE__, .line = __LINE__, .present = true, \
49 }
50
51#define TEST_EQUAL(a, b) \
52 do { \
53 if ((a) != (b)) { \
54 SET_FAILURE(#a " != " #b); \
55 return; \
56 } \
57 } while (0)
58
59#define TEST_TRUE(a) \
60 do { \
61 if (!(a)) { \
62 SET_FAILURE(#a " is not true"); \
63 return; \
64 } \
65 } while (0)
66
67#define TEST_STREQUAL(a, b) \
68 do { \
69 if (strcmp(a, b) != 0) { \
70 SET_FAILURE(#a " != " #b); \
71 return; \
72 } \
73 } while (0)
74
75#define TEST_CASE(_name) \
76 static void __test_h_##_name(struct test_case_metadata *, \
77 struct test_file_metadata *); \
78 static struct test_file_metadata __test_h_file; \
79 static struct test_case_metadata __test_h_meta_##_name = { \
80 .name = #_name, \
81 .fn = __test_h_##_name, \
82 }; \
83 static void __attribute__((constructor(101))) __test_h_##_name##_register(void) { \
84 __test_h_meta_##_name.next = __test_h_file.tests; \
85 __test_h_file.tests = &__test_h_meta_##_name; \
86 if (!__test_h_file.registered) { \
87 __test_h_file.name = __FILE__; \
88 __test_h_file.next = test_file_head; \
89 test_file_head = &__test_h_file; \
90 __test_h_file.registered = true; \
91 } \
92 } \
93 static void __test_h_##_name( \
94 struct test_case_metadata *metadata __attribute__((unused)), \
95 struct test_file_metadata *file_metadata __attribute__((unused)))
96
97extern void __attribute__((weak)) (*test_h_unittest_setup)(void);
98/// Run defined tests, return true if all tests succeeds
99/// @param[out] tests_run if not NULL, set to whether tests were run
100static inline void __attribute__((constructor(102))) run_tests(void) {
101 bool should_run = false;
102#ifdef USE_SYSCTL_FOR_ARGS
103 int mib[] = {
104 CTL_KERN,
105#if defined(__NetBSD__) || defined(__OpenBSD__)
106 KERN_PROC_ARGS,
107 getpid(),
108 KERN_PROC_ARGV,
109#else
110 KERN_PROC,
111 KERN_PROC_ARGS,
112 getpid(),
113#endif
114 };
115 char *arg = NULL;
116 size_t arglen;
117 sysctl(mib, sizeof(mib) / sizeof(mib[0]), NULL, &arglen, NULL, 0);
118 arg = malloc(arglen);
119 sysctl(mib, sizeof(mib) / sizeof(mib[0]), arg, &arglen, NULL, 0);
120#else
121 FILE *cmdlinef = fopen("/proc/self/cmdline", "r");
122 char *arg = NULL;
123 int arglen;
124 fscanf(cmdlinef, "%ms%n", &arg, &arglen);
125 fclose(cmdlinef);
126#endif
127 for (char *pos = arg; pos < arg + arglen; pos += strlen(pos) + 1) {
128 if (strcmp(pos, "--unittest") == 0) {
129 should_run = true;
130 break;
131 }
132 }
133 free(arg);
134
135 if (!should_run) {
136 return;
137 }
138
139 if (&test_h_unittest_setup) {
140 test_h_unittest_setup();
141 }
142
143 struct test_file_metadata *i = test_file_head;
144 int failed = 0, success = 0;
145 while (i) {
146 fprintf(stderr, "Running tests from %s:\n", i->name);
147 struct test_case_metadata *j = i->tests;
148 while (j) {
149 fprintf(stderr, "\t%s ... ", j->name);
150 j->failure.present = false;
151 j->fn(j, i);
152 if (j->failure.present) {
153 fprintf(stderr, "failed (%s at %s:%d)\n", j->failure.message,
154 j->failure.file, j->failure.line);
155 failed++;
156 } else {
157 fprintf(stderr, "passed\n");
158 success++;
159 }
160 j = j->next;
161 }
162 fprintf(stderr, "\n");
163 i = i->next;
164 }
165 int total = failed + success;
166 fprintf(stderr, "Test results: passed %d/%d, failed %d/%d\n", success, total,
167 failed, total);
168 exit(failed == 0 ? EXIT_SUCCESS : EXIT_FAILURE);
169}
170
171#else
172
173#include <stdbool.h>
174
175#define TEST_CASE(name) static void __attribute__((unused)) __test_h_##name(void)
176
177#define TEST_EQUAL(a, b) \
178 (void)(a); \
179 (void)(b)
180#define TEST_TRUE(a) (void)(a)
181#define TEST_STREQUAL(a, b) \
182 (void)(a); \
183 (void)(b)
184
185#endif
diff --git a/src/lib/test/test_main.c b/src/lib/test/test_main.c
new file mode 100644
index 0000000..4cce7f6
--- /dev/null
+++ b/src/lib/test/test_main.c
@@ -0,0 +1,3 @@
1int main() {
2 return 0;
3}
diff --git a/src/lib/test/test_util.h b/src/lib/test/test_util.h
new file mode 100644
index 0000000..8abb99a
--- /dev/null
+++ b/src/lib/test/test_util.h
@@ -0,0 +1,22 @@
1#pragma once
2
3#include <neuralnet/types.h>
4
5#include <math.h>
6
7// General epsilon for comparing values.
8static const R EPS = 1e-10;
9
10// Epsilon for comparing network weights after training.
11static const R WEIGHT_EPS = 0.01;
12
13// Epsilon for comparing network outputs after training.
14static const R OUTPUT_EPS = 0.01;
15
16static inline bool double_eq(double a, double b, double eps) {
17 return fabs(a - b) <= eps;
18}
19
20static inline R lerp(R a, R b, R t) {
21 return a + t*(b-a);
22}
diff --git a/src/lib/test/train_linear_perceptron_non_origin_test.c b/src/lib/test/train_linear_perceptron_non_origin_test.c
new file mode 100644
index 0000000..5a320ac
--- /dev/null
+++ b/src/lib/test/train_linear_perceptron_non_origin_test.c
@@ -0,0 +1,67 @@
1#include <neuralnet/train.h>
2
3#include <neuralnet/matrix.h>
4#include <neuralnet/neuralnet.h>
5#include "activation.h"
6#include "neuralnet_impl.h"
7
8#include "test.h"
9#include "test_util.h"
10
11#include <assert.h>
12
13TEST_CASE(neuralnet_train_linear_perceptron_non_origin_test) {
14 const int num_layers = 1;
15 const int layer_sizes[] = { 1, 1 };
16 const nnActivation layer_activations[] = { nnIdentity };
17
18 nnNeuralNetwork* net = nnMakeNet(num_layers, layer_sizes, layer_activations);
19 assert(net);
20
21 // Train.
22
23 // Try to learn the Y = 2X + 1 line.
24 #define N 2
25 const R inputs[N] = { 0., 1. };
26 const R targets[N] = { 1., 3. };
27
28 nnMatrix inputs_matrix = nnMatrixMake(N, 1);
29 nnMatrix targets_matrix = nnMatrixMake(N, 1);
30 nnMatrixInit(&inputs_matrix, inputs);
31 nnMatrixInit(&targets_matrix, targets);
32
33 nnTrainingParams params = {
34 .learning_rate = 0.7,
35 .max_iterations = 20,
36 .seed = 0,
37 .weight_init = nnWeightInit01,
38 .debug = false,
39 };
40
41 nnTrain(net, &inputs_matrix, &targets_matrix, &params);
42
43 const R weight = nnMatrixAt(&net->weights[0], 0, 0);
44 const R expected_weight = 2.0;
45 printf("\nTrained network weight: %f, Expected: %f\n", weight, expected_weight);
46 TEST_TRUE(double_eq(weight, expected_weight, WEIGHT_EPS));
47
48 const R bias = nnMatrixAt(&net->biases[0], 0, 0);
49 const R expected_bias = 1.0;
50 printf("Trained network bias: %f, Expected: %f\n", bias, expected_bias);
51 TEST_TRUE(double_eq(bias, expected_bias, WEIGHT_EPS));
52
53 // Test.
54
55 nnQueryObject* query = nnMakeQueryObject(net, /*num_inputs=*/1);
56
57 const R test_input[] = { 2.3 };
58 R test_output[1];
59 nnQueryArray(net, query, test_input, test_output);
60
61 const R expected_output = test_input[0] * expected_weight + expected_bias;
62 printf("Output: %f, Expected: %f\n", test_output[0], expected_output);
63 TEST_TRUE(double_eq(test_output[0], expected_output, OUTPUT_EPS));
64
65 nnDeleteQueryObject(&query);
66 nnDeleteNet(&net);
67}
diff --git a/src/lib/test/train_linear_perceptron_test.c b/src/lib/test/train_linear_perceptron_test.c
new file mode 100644
index 0000000..2b1336d
--- /dev/null
+++ b/src/lib/test/train_linear_perceptron_test.c
@@ -0,0 +1,62 @@
1#include <neuralnet/train.h>
2
3#include <neuralnet/matrix.h>
4#include <neuralnet/neuralnet.h>
5#include "activation.h"
6#include "neuralnet_impl.h"
7
8#include "test.h"
9#include "test_util.h"
10
11#include <assert.h>
12
13TEST_CASE(neuralnet_train_linear_perceptron_test) {
14 const int num_layers = 1;
15 const int layer_sizes[] = { 1, 1 };
16 const nnActivation layer_activations[] = { nnIdentity };
17
18 nnNeuralNetwork* net = nnMakeNet(num_layers, layer_sizes, layer_activations);
19 assert(net);
20
21 // Train.
22
23 // Try to learn the Y=X line.
24 #define N 2
25 const R inputs[N] = { 0., 1. };
26 const R targets[N] = { 0., 1. };
27
28 nnMatrix inputs_matrix = nnMatrixMake(N, 1);
29 nnMatrix targets_matrix = nnMatrixMake(N, 1);
30 nnMatrixInit(&inputs_matrix, inputs);
31 nnMatrixInit(&targets_matrix, targets);
32
33 nnTrainingParams params = {
34 .learning_rate = 0.7,
35 .max_iterations = 10,
36 .seed = 0,
37 .weight_init = nnWeightInit01,
38 .debug = false,
39 };
40
41 nnTrain(net, &inputs_matrix, &targets_matrix, &params);
42
43 const R weight = nnMatrixAt(&net->weights[0], 0, 0);
44 const R expected_weight = 1.0;
45 printf("\nTrained network weight: %f, Expected: %f\n", weight, expected_weight);
46 TEST_TRUE(double_eq(weight, expected_weight, WEIGHT_EPS));
47
48 // Test.
49
50 nnQueryObject* query = nnMakeQueryObject(net, /*num_inputs=*/1);
51
52 const R test_input[] = { 2.3 };
53 R test_output[1];
54 nnQueryArray(net, query, test_input, test_output);
55
56 const R expected_output = test_input[0];
57 printf("Output: %f, Expected: %f\n", test_output[0], expected_output);
58 TEST_TRUE(double_eq(test_output[0], expected_output, OUTPUT_EPS));
59
60 nnDeleteQueryObject(&query);
61 nnDeleteNet(&net);
62}
diff --git a/src/lib/test/train_sigmoid_test.c b/src/lib/test/train_sigmoid_test.c
new file mode 100644
index 0000000..588e7ca
--- /dev/null
+++ b/src/lib/test/train_sigmoid_test.c
@@ -0,0 +1,66 @@
1#include <neuralnet/train.h>
2
3#include <neuralnet/matrix.h>
4#include <neuralnet/neuralnet.h>
5#include "activation.h"
6#include "neuralnet_impl.h"
7
8#include "test.h"
9#include "test_util.h"
10
11#include <assert.h>
12
13TEST_CASE(neuralnet_train_sigmoid_test) {
14 const int num_layers = 1;
15 const int layer_sizes[] = { 1, 1 };
16 const nnActivation layer_activations[] = { nnSigmoid };
17
18 nnNeuralNetwork* net = nnMakeNet(num_layers, layer_sizes, layer_activations);
19 assert(net);
20
21 // Train.
22
23 // Try to learn the sigmoid function.
24 #define N 3
25 R inputs[N];
26 R targets[N];
27 for (int i = 0; i < N; ++i) {
28 inputs[i] = lerp(-1, +1, (R)i / (R)(N-1));
29 targets[i] = sigmoid(inputs[i]);
30 }
31
32 nnMatrix inputs_matrix = nnMatrixMake(N, 1);
33 nnMatrix targets_matrix = nnMatrixMake(N, 1);
34 nnMatrixInit(&inputs_matrix, inputs);
35 nnMatrixInit(&targets_matrix, targets);
36
37 nnTrainingParams params = {
38 .learning_rate = 0.9,
39 .max_iterations = 100,
40 .seed = 0,
41 .weight_init = nnWeightInit01,
42 .debug = false,
43 };
44
45 nnTrain(net, &inputs_matrix, &targets_matrix, &params);
46
47 const R weight = nnMatrixAt(&net->weights[0], 0, 0);
48 const R expected_weight = 1.0;
49 printf("\nTrained network weight: %f, Expected: %f\n", weight, expected_weight);
50 TEST_TRUE(double_eq(weight, expected_weight, WEIGHT_EPS));
51
52 // Test.
53
54 nnQueryObject* query = nnMakeQueryObject(net, /*num_inputs=*/1);
55
56 const R test_input[] = { 0.3 };
57 R test_output[1];
58 nnQueryArray(net, query, test_input, test_output);
59
60 const R expected_output = 0.574442516811659; // sigmoid(0.3)
61 printf("Output: %f, Expected: %f\n", test_output[0], expected_output);
62 TEST_TRUE(double_eq(test_output[0], expected_output, OUTPUT_EPS));
63
64 nnDeleteQueryObject(&query);
65 nnDeleteNet(&net);
66}
diff --git a/src/lib/test/train_xor_test.c b/src/lib/test/train_xor_test.c
new file mode 100644
index 0000000..6ddc6e0
--- /dev/null
+++ b/src/lib/test/train_xor_test.c
@@ -0,0 +1,66 @@
1#include <neuralnet/train.h>
2
3#include <neuralnet/matrix.h>
4#include <neuralnet/neuralnet.h>
5#include "activation.h"
6#include "neuralnet_impl.h"
7
8#include "test.h"
9#include "test_util.h"
10
11#include <assert.h>
12
13TEST_CASE(neuralnet_train_xor_test) {
14 const int num_layers = 2;
15 const int layer_sizes[] = { 2, 2, 1 };
16 const nnActivation layer_activations[] = { nnRelu, nnIdentity };
17
18 nnNeuralNetwork* net = nnMakeNet(num_layers, layer_sizes, layer_activations);
19 assert(net);
20
21 // Train.
22
23 #define N 4
24 const R inputs[N][2] = { { 0., 0. }, { 0., 1. }, { 1., 0. }, { 1., 1. } };
25 const R targets[N] = { 0., 1., 1., 0. };
26
27 nnMatrix inputs_matrix = nnMatrixMake(N, 2);
28 nnMatrix targets_matrix = nnMatrixMake(N, 1);
29 nnMatrixInit(&inputs_matrix, (const R*)inputs);
30 nnMatrixInit(&targets_matrix, targets);
31
32 nnTrainingParams params = {
33 .learning_rate = 0.1,
34 .max_iterations = 500,
35 .seed = 0,
36 .weight_init = nnWeightInit01,
37 .debug = false,
38 };
39
40 nnTrain(net, &inputs_matrix, &targets_matrix, &params);
41
42 // Test.
43
44 #define M 4
45
46 nnQueryObject* query = nnMakeQueryObject(net, /*num_inputs=*/M);
47
48 const R test_inputs[M][2] = { { 0., 0. }, { 1., 0. }, { 0., 1. }, { 1., 1. } };
49 nnMatrix test_inputs_matrix = nnMatrixMake(M, 2);
50 nnMatrixInit(&test_inputs_matrix, (const R*)test_inputs);
51 nnQuery(net, query, &test_inputs_matrix);
52
53 const R expected_outputs[M] = { 0., 1., 1., 0. };
54 for (int i = 0; i < M; ++i) {
55 const R test_output = nnMatrixAt(nnNetOutputs(query), i, 0);
56 printf("\nInput: (%f, %f), Output: %f, Expected: %f\n",
57 test_inputs[i][0], test_inputs[i][1], test_output, expected_outputs[i]);
58 }
59 for (int i = 0; i < M; ++i) {
60 const R test_output = nnMatrixAt(nnNetOutputs(query), i, 0);
61 TEST_TRUE(double_eq(test_output, expected_outputs[i], OUTPUT_EPS));
62 }
63
64 nnDeleteQueryObject(&query);
65 nnDeleteNet(&net);
66}
generated by cgit v1.2.3 (git 2.25.1) at 2024-11-22 15:48:34 +0000