ccv_nnc_micro_simplify.c

Bug Summary

File:	nnc/ccv_nnc_micro_simplify.c
Warning:	line 1140, column 21 Potential memory leak
Annotated Source Code

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clang -cc1 -cc1 -triple x86_64-unknown-linux-gnu -analyze -disable-free -clear-ast-before-backend -disable-llvm-verifier -discard-value-names -main-file-name ccv_nnc_micro_simplify.c -analyzer-checker=core -analyzer-checker=apiModeling -analyzer-checker=unix -analyzer-checker=deadcode -analyzer-checker=security.insecureAPI.UncheckedReturn -analyzer-checker=security.insecureAPI.getpw -analyzer-checker=security.insecureAPI.gets -analyzer-checker=security.insecureAPI.mktemp -analyzer-checker=security.insecureAPI.mkstemp -analyzer-checker=security.insecureAPI.vfork -analyzer-checker=nullability.NullPassedToNonnull -analyzer-checker=nullability.NullReturnedFromNonnull -analyzer-output plist -w -setup-static-analyzer -mrelocation-model pic -pic-level 2 -pic-is-pie -mframe-pointer=none -fmath-errno -ffp-contract=on -fno-rounding-math -mconstructor-aliases -funwind-tables=2 -target-cpu x86-64 -target-feature +sse2 -tune-cpu generic -debugger-tuning=gdb -fdebug-compilation-dir=/home/liu/actions-runner/_work/ccv/ccv/lib/nnc -fcoverage-compilation-dir=/home/liu/actions-runner/_work/ccv/ccv/lib/nnc -resource-dir /usr/local/lib/clang/19 -I ../ -I /usr/local/cuda/include -D HAVE_CBLAS -D HAVE_LIBPNG -D HAVE_LIBJPEG -D HAVE_FFTW3 -D HAVE_PTHREAD -D HAVE_LIBLINEAR -D HAVE_TESSERACT -D HAVE_AVCODEC -D HAVE_AVFORMAT -D HAVE_AVUTIL -D HAVE_SWSCALE -D HAVE_SSE2 -D HAVE_GSL -D HAVE_CUDA -D HAVE_CUDNN -D HAVE_NCCL -D USE_SYSTEM_CUB -I /usr/local/include -internal-isystem /usr/local/lib/clang/19/include -internal-isystem /usr/local/include -internal-isystem /usr/lib/gcc/x86_64-linux-gnu/12/../../../../x86_64-linux-gnu/include -internal-externc-isystem /usr/include/x86_64-linux-gnu -internal-externc-isystem /include -internal-externc-isystem /usr/include -O3 -ferror-limit 19 -fgnuc-version=4.2.1 -fskip-odr-check-in-gmf -vectorize-loops -vectorize-slp -analyzer-output=html -faddrsig -D__GCC_HAVE_DWARF2_CFI_ASM=1 -o /home/liu/actions-runner/_work/ccv/ccv/_analyze/2024-12-20-164004-127792-1 -x c ccv_nnc_micro_simplify.c
1#include "ccv_nnc.h"
2#include "ccv_nnc_easy.h"
3#include "ccv_nnc_internal.h"
4#include "ccv_internal.h"
5#include "_ccv_nnc_micro.h"
6#include "3rdparty/khash/khash.h"
7 
8#define MICRO_ID_TO_INT(x)(((x).id << 8) | ((x).d)) (((x).id << 8) | ((x).d))
9KHASH_MAP_INIT_INT(ccv_nnc_axis_id_group, int)typedef struct kh_ccv_nnc_axis_id_group_s { khint_t n_buckets
, size, n_occupied, upper_bound; khint32_t *flags; khint32_t *
keys; int *vals; } kh_ccv_nnc_axis_id_group_t; static inline __attribute__
 ((__unused__)) kh_ccv_nnc_axis_id_group_t *kh_init_ccv_nnc_axis_id_group
(void) { return (kh_ccv_nnc_axis_id_group_t*)calloc(1,sizeof(
kh_ccv_nnc_axis_id_group_t)); } static inline __attribute__ (
(__unused__)) void kh_destroy_ccv_nnc_axis_id_group(kh_ccv_nnc_axis_id_group_t
 *h) { if (h) { free((void *)h->keys); free(h->flags); free
((void *)h->vals); free(h); } } static inline __attribute__
 ((__unused__)) void kh_clear_ccv_nnc_axis_id_group(kh_ccv_nnc_axis_id_group_t
 *h) { if (h && h->flags) { memset(h->flags, 0xaa
, ((h->n_buckets) < 16? 1 : (h->n_buckets)>>4)
 * sizeof(khint32_t)); h->size = h->n_occupied = 0; } }
 static inline __attribute__ ((__unused__)) khint_t kh_get_ccv_nnc_axis_id_group
(const kh_ccv_nnc_axis_id_group_t *h, khint32_t key) { if (h->
n_buckets) { khint_t k, i, last, mask, step = 0; mask = h->
n_buckets - 1; k = (khint32_t)(key); i = k & mask; last =
 i; while (!((h->flags[i>>4]>>((i&0xfU)<<
1))&2) && (((h->flags[i>>4]>>((i&
0xfU)<<1))&1) || !((h->keys[i]) == (key)))) { i =
 (i + (++step)) & mask; if (i == last) return h->n_buckets
; } return ((h->flags[i>>4]>>((i&0xfU)<<
1))&3)? h->n_buckets : i; } else return 0; } static inline
 __attribute__ ((__unused__)) int kh_resize_ccv_nnc_axis_id_group
(kh_ccv_nnc_axis_id_group_t *h, khint_t new_n_buckets) { khint32_t
 *new_flags = 0; khint_t j = 1; { (--(new_n_buckets), (new_n_buckets
)|=(new_n_buckets)>>1, (new_n_buckets)|=(new_n_buckets)
>>2, (new_n_buckets)|=(new_n_buckets)>>4, (new_n_buckets
)|=(new_n_buckets)>>8, (new_n_buckets)|=(new_n_buckets)
>>16, ++(new_n_buckets)); if (new_n_buckets < 4) new_n_buckets
 = 4; if (h->size >= (khint_t)(new_n_buckets * __ac_HASH_UPPER
 + 0.5)) j = 0; else { new_flags = (khint32_t*)malloc(((new_n_buckets
) < 16? 1 : (new_n_buckets)>>4) * sizeof(khint32_t))
; if (!new_flags) return -1; memset(new_flags, 0xaa, ((new_n_buckets
) < 16? 1 : (new_n_buckets)>>4) * sizeof(khint32_t))
; if (h->n_buckets < new_n_buckets) { khint32_t *new_keys
 = (khint32_t*)realloc((void *)h->keys,new_n_buckets * sizeof
(khint32_t)); if (!new_keys) { free(new_flags); return -1; } h
->keys = new_keys; if (1) { int *new_vals = (int*)realloc(
(void *)h->vals,new_n_buckets * sizeof(int)); if (!new_vals
) { free(new_flags); return -1; } h->vals = new_vals; } } }
 } if (j) { for (j = 0; j != h->n_buckets; ++j) { if (((h->
flags[j>>4]>>((j&0xfU)<<1))&3) == 0
) { khint32_t key = h->keys[j]; int val; khint_t new_mask;
 new_mask = new_n_buckets - 1; if (1) val = h->vals[j]; (h
->flags[j>>4]|=1ul<<((j&0xfU)<<1)); while
 (1) { khint_t k, i, step = 0; k = (khint32_t)(key); i = k &
 new_mask; while (!((new_flags[i>>4]>>((i&0xfU
)<<1))&2)) i = (i + (++step)) & new_mask; (new_flags
[i>>4]&=~(2ul<<((i&0xfU)<<1))); if (
i < h->n_buckets && ((h->flags[i>>4]>>
((i&0xfU)<<1))&3) == 0) { { khint32_t tmp = h->
keys[i]; h->keys[i] = key; key = tmp; } if (1) { int tmp =
 h->vals[i]; h->vals[i] = val; val = tmp; } (h->flags
[i>>4]|=1ul<<((i&0xfU)<<1)); } else { h
->keys[i] = key; if (1) h->vals[i] = val; break; } } } }
 if (h->n_buckets > new_n_buckets) { h->keys = (khint32_t
*)realloc((void *)h->keys,new_n_buckets * sizeof(khint32_t
)); if (1) h->vals = (int*)realloc((void *)h->vals,new_n_buckets
 * sizeof(int)); } free(h->flags); h->flags = new_flags
; h->n_buckets = new_n_buckets; h->n_occupied = h->size
; h->upper_bound = (khint_t)(h->n_buckets * __ac_HASH_UPPER
 + 0.5); } return 0; } static inline __attribute__ ((__unused__
)) khint_t kh_put_ccv_nnc_axis_id_group(kh_ccv_nnc_axis_id_group_t
 *h, khint32_t key, int *ret) { khint_t x; if (h->n_occupied
 >= h->upper_bound) { if (h->n_buckets > (h->size
<<1)) { if (kh_resize_ccv_nnc_axis_id_group(h, h->n_buckets
 - 1) < 0) { *ret = -1; return h->n_buckets; } } else if
 (kh_resize_ccv_nnc_axis_id_group(h, h->n_buckets + 1) <
 0) { *ret = -1; return h->n_buckets; } } { khint_t k, i, site
, last, mask = h->n_buckets - 1, step = 0; x = site = h->
n_buckets; k = (khint32_t)(key); i = k & mask; if (((h->
flags[i>>4]>>((i&0xfU)<<1))&2)) x =
 i; else { last = i; while (!((h->flags[i>>4]>>
((i&0xfU)<<1))&2) && (((h->flags[i>>
4]>>((i&0xfU)<<1))&1) || !((h->keys[i]
) == (key)))) { if (((h->flags[i>>4]>>((i&
0xfU)<<1))&1)) site = i; i = (i + (++step)) & mask
; if (i == last) { x = site; break; } } if (x == h->n_buckets
) { if (((h->flags[i>>4]>>((i&0xfU)<<
1))&2) && site != h->n_buckets) x = site; else
 x = i; } } } if (((h->flags[x>>4]>>((x&0xfU
)<<1))&2)) { h->keys[x] = key; (h->flags[x>>
4]&=~(3ul<<((x&0xfU)<<1))); ++h->size;
 ++h->n_occupied; *ret = 1; } else if (((h->flags[x>>
4]>>((x&0xfU)<<1))&1)) { h->keys[x] = key
; (h->flags[x>>4]&=~(3ul<<((x&0xfU)<<
1))); ++h->size; *ret = 2; } else *ret = 0; return x; } static
 inline __attribute__ ((__unused__)) void kh_del_ccv_nnc_axis_id_group
(kh_ccv_nnc_axis_id_group_t *h, khint_t x) { if (x != h->n_buckets
 && !((h->flags[x>>4]>>((x&0xfU)<<
1))&3)) { (h->flags[x>>4]|=1ul<<((x&0xfU
)<<1)); --h->size; } }
10 
11static int _ccv_nnc_same_index_term(const ccv_nnc_micro_loop_index_term_t a_index, const ccv_nnc_micro_loop_index_term_t b_index, const int* const groups, khash_t(ccv_nnc_axis_id_group)kh_ccv_nnc_axis_id_group_t* const axis_id_groups)
12{
13	if (a_index.type != b_index.type)
14		return 0;
15	const int type = a_index.type;
16	switch (type)
17	{
18		case CCV_NNC_MICRO_LOOP_INDEX_TYPE_VAL:
19			return a_index.immediate_value == b_index.immediate_value;
20		case CCV_NNC_MICRO_LOOP_INDEX_TYPE_ID:
21			if (a_index.id.type != b_index.id.type)
22				return 0;
23			// Check within the axis_id_groups to see if there is a match, if there is no match, we can proceed (to use the group table again to check).
24			if (axis_id_groups && a_index.id.type == CCV_NNC_MICRO_AXIS_SIZE_ID)
25			{
26				ccv_nnc_micro_id_t a_id = a_index.id;
27				while (groups && groups[a_id.id] != a_id.id)
28					a_id.id = groups[a_id.id];
29				int a_root = MICRO_ID_TO_INT(a_id)(((a_id).id << 8) | ((a_id).d));
30				khiter_t k;
31				for (;;) {
32					k = kh_get(ccv_nnc_axis_id_group, axis_id_groups, a_root)kh_get_ccv_nnc_axis_id_group(axis_id_groups, a_root);
33					if (k == kh_end(axis_id_groups)((axis_id_groups)->n_buckets))
34						break;
35					a_root = kh_val(axis_id_groups, k)((axis_id_groups)->vals[k]);
36				}
37				ccv_nnc_micro_id_t b_id = b_index.id;
38				while (groups && groups[b_id.id] != b_id.id)
39					b_id.id = groups[b_id.id];
40				int b_root = MICRO_ID_TO_INT(b_id)(((b_id).id << 8) | ((b_id).d));
41				for (;;) {
42					k = kh_get(ccv_nnc_axis_id_group, axis_id_groups, b_root)kh_get_ccv_nnc_axis_id_group(axis_id_groups, b_root);
43					if (k == kh_end(axis_id_groups)((axis_id_groups)->n_buckets))
44						break;
45					b_root = kh_val(axis_id_groups, k)((axis_id_groups)->vals[k]);
46				}
47				if (a_root == b_root)
48					return 1;
49			}
50			if (groups && (a_index.id.type == CCV_NNC_MICRO_AXIS_SIZE_ID || a_index.id.type == CCV_NNC_MICRO_TENSOR_ID))
51			{
52				if (a_index.id.d != b_index.id.d)
53					return 0;
54				switch (a_index.id.type)
55				{
56					case CCV_NNC_MICRO_TENSOR_ID:
57					case CCV_NNC_MICRO_AXIS_SIZE_ID: {
58						// Find their group identifier and then compare.
59						int a_root = groups[a_index.id.id];
60						while (groups[a_root] != a_root)
61							a_root = groups[a_root];
62						int b_root = groups[b_index.id.id];
63						while (groups[b_root] != b_root)
64							b_root = groups[b_root];
65						return a_root == b_root;
66					}
67				}
68				return a_index.id.id == b_index.id.id;
69			} else
70				return (a_index.id.d == b_index.id.d && a_index.id.id == b_index.id.id);
71		case CCV_NNC_MICRO_LOOP_INDEX_TYPE_BINARY: {
72			return a_index.binary->op == b_index.binary->op && _ccv_nnc_same_index_term(a_index.binary->left, b_index.binary->left, groups, axis_id_groups) && _ccv_nnc_same_index_term(a_index.binary->right, b_index.binary->right, groups, axis_id_groups);
73		}
74	}
75	return 0;
76}
77 
78static int _ccv_nnc_same_shape(const ccv_nnc_micro_loop_index_term_t* const a_shape, const ccv_nnc_micro_loop_index_term_t* const b_shape, const int dimensions)
79{
80	int i;
81	for (i = 0; i < dimensions; i++)
82		if (!_ccv_nnc_same_index_term(a_shape[i], b_shape[i], 0, 0))
83			return 0;
84	return 1;
85}
86 
87static int _ccv_nnc_same_loop(const ccv_nnc_micro_loop_block_t* const left_block, const ccv_nnc_micro_loop_block_t* const right_block, const int* const groups, khash_t(ccv_nnc_axis_id_group)kh_ccv_nnc_axis_id_group_t* const axis_id_groups, int* const left_loop_idx, int* const right_loop_idx)
88{
89	assert(left_block->loop_count > 0)((void) sizeof ((left_block->loop_count > 0) ? 1 : 0), __extension__
 ({ if (left_block->loop_count > 0) ; else __assert_fail
 ("left_block->loop_count > 0", "ccv_nnc_micro_simplify.c"
, 89, __extension__ __PRETTY_FUNCTION__); }));
90	assert(right_block->loop_count > 0)((void) sizeof ((right_block->loop_count > 0) ? 1 : 0),
 __extension__ ({ if (right_block->loop_count > 0) ; else
 __assert_fail ("right_block->loop_count > 0", "ccv_nnc_micro_simplify.c"
, 90, __extension__ __PRETTY_FUNCTION__); }));
91	int i, j;
92	int left_right_link[left_block->loop_count];
93	int right_left_link[right_block->loop_count];
94	enum {
95		ONE = -2,
96		UNASSIGNED = -1,
97	};
98	for (i = 0; i < left_block->loop_count; i++)
99		if (left_block->loops[i].start_index.type == CCV_NNC_MICRO_LOOP_INDEX_TYPE_VAL && left_block->loops[i].start_index.immediate_value == 0 &&
100			left_block->loops[i].end_index.type == CCV_NNC_MICRO_LOOP_INDEX_TYPE_VAL && left_block->loops[i].end_index.immediate_value == 1)
101			left_right_link[i] = ONE;
102		else
103			left_right_link[i] = UNASSIGNED;
104	for (i = 0; i < right_block->loop_count; i++)
105		if (right_block->loops[i].start_index.type == CCV_NNC_MICRO_LOOP_INDEX_TYPE_VAL && right_block->loops[i].start_index.immediate_value == 0 &&
106			right_block->loops[i].end_index.type == CCV_NNC_MICRO_LOOP_INDEX_TYPE_VAL && right_block->loops[i].end_index.immediate_value == 1)
107			right_left_link[i] = ONE;
108		else
109			right_left_link[i] = UNASSIGNED;
110	for (i = 0; i < left_block->loop_count; i++) // Find corresponding loop on the right.
111	{
112		if (left_right_link[i] != UNASSIGNED)
113			continue;
114		int flag = UNASSIGNED;
115		for (j = 0; j < right_block->loop_count && flag == UNASSIGNED; j++)
116		{
117			if (right_left_link[j] != UNASSIGNED)
118				continue;
119			if (_ccv_nnc_same_index_term(left_block->loops[i].start_index, right_block->loops[j].start_index, groups, axis_id_groups) && 
120				_ccv_nnc_same_index_term(left_block->loops[i].end_index, right_block->loops[j].end_index, groups, axis_id_groups))
121				flag = j;
122		}
123		if (flag != UNASSIGNED)
124		{
125			left_right_link[i] = flag;
126			right_left_link[flag] = i;
127		}
128	}
129	// If still have unmatched, they don't share the same loop.
130	for (i = 0; i < left_block->loop_count; i++)
131		if (left_right_link[i] == UNASSIGNED)
132			return 0;
133	for (i = 0; i < right_block->loop_count; i++)
134		if (right_left_link[i] == UNASSIGNED)
135			return 0;
136	// I don't want to deal with constant loop, hence, if other than the outer-most is a constant loop (0..<1),
137	// we cannot merge.
138	for (i = 1; i < left_block->loop_count; i++)
139		if (left_right_link[i] == ONE)
140			return 0;
141	for (i = 1; i < right_block->loop_count; i++)
142		if (right_left_link[i] == ONE)
143			return 0;
144	assert((left_block->loop_count == right_block->loop_count) ||((void) sizeof (((left_block->loop_count == right_block->
loop_count) || (left_block->loop_count == right_block->
loop_count + 1) || (left_block->loop_count + 1 == right_block
->loop_count)) ? 1 : 0), __extension__ ({ if ((left_block->
loop_count == right_block->loop_count) || (left_block->
loop_count == right_block->loop_count + 1) || (left_block->
loop_count + 1 == right_block->loop_count)) ; else __assert_fail
 ("(left_block->loop_count == right_block->loop_count) || (left_block->loop_count == right_block->loop_count + 1) || (left_block->loop_count + 1 == right_block->loop_count)"
, "ccv_nnc_micro_simplify.c", 146, __extension__ __PRETTY_FUNCTION__
); }))
145			(left_block->loop_count == right_block->loop_count + 1) ||((void) sizeof (((left_block->loop_count == right_block->
loop_count) || (left_block->loop_count == right_block->
loop_count + 1) || (left_block->loop_count + 1 == right_block
->loop_count)) ? 1 : 0), __extension__ ({ if ((left_block->
loop_count == right_block->loop_count) || (left_block->
loop_count == right_block->loop_count + 1) || (left_block->
loop_count + 1 == right_block->loop_count)) ; else __assert_fail
 ("(left_block->loop_count == right_block->loop_count) || (left_block->loop_count == right_block->loop_count + 1) || (left_block->loop_count + 1 == right_block->loop_count)"
, "ccv_nnc_micro_simplify.c", 146, __extension__ __PRETTY_FUNCTION__
); }))
146			(left_block->loop_count + 1 == right_block->loop_count))((void) sizeof (((left_block->loop_count == right_block->
loop_count) || (left_block->loop_count == right_block->
loop_count + 1) || (left_block->loop_count + 1 == right_block
->loop_count)) ? 1 : 0), __extension__ ({ if ((left_block->
loop_count == right_block->loop_count) || (left_block->
loop_count == right_block->loop_count + 1) || (left_block->
loop_count + 1 == right_block->loop_count)) ; else __assert_fail
 ("(left_block->loop_count == right_block->loop_count) || (left_block->loop_count == right_block->loop_count + 1) || (left_block->loop_count + 1 == right_block->loop_count)"
, "ccv_nnc_micro_simplify.c", 146, __extension__ __PRETTY_FUNCTION__
); }));
147	// The loop matches, but the ordering probably doesn't. We reorder loop based on statements.
148	// Hence, two loops can only merge if using the statements as a pivot point and they can still
149	// match things before / after the statement.
150	// If both have statements, check if order preserving within the statement loop (we can be fancier
151	// and recursively call this while using statement as pivoting point, but that is too much to my taste).
152	const int left_start_idx = left_right_link[0] == ONE ? 1 : 0;
153	const int right_start_idx = right_left_link[0] == ONE ? 1 : 0;
154	for (i = 0; i < left_block->loop_count; i++)
155		left_loop_idx[i] = UNASSIGNED;
156	for (i = 0; i < right_block->loop_count; i++)
157		right_loop_idx[i] = UNASSIGNED;
158	if (left_start_idx == 1)
159		left_loop_idx[0] = 0; // Assign their index.
160	if (right_start_idx == 0)
161		right_loop_idx[0] = 0; // Assign their index.
162	const int end_idx = left_right_link[0] == ONE && right_left_link[0] == ONE ? left_block->loop_count - 1 : ccv_min(left_block->loop_count, right_block->loop_count)({ typeof (left_block->loop_count) _a = (left_block->loop_count
); typeof (right_block->loop_count) _b = (right_block->
loop_count); (_a < _b) ? _a : _b; });
163	int pivot_idx = end_idx;
164	int k;
165	for (i = end_idx - 1; i >= 0; i--)
166	{
167		if (left_block->loops[i + left_start_idx].statement_count > 0)
168		{
169			for (j = i + 1, k = i + 1; j < end_idx; j++)
170				if (left_loop_idx[j + left_start_idx] == UNASSIGNED)
171				{
172					left_loop_idx[j + left_start_idx] = k + left_start_idx;
173					// If the right one can be referenced pass previous pivot_idx, it is not right.
174					if (left_right_link[j + left_start_idx] >= pivot_idx + right_start_idx)
175						return 0;
176					right_loop_idx[left_right_link[j + left_start_idx]] = k + right_start_idx;
177					++k;
178					if (k > pivot_idx)
179						return 0;
180				}
181			assert(k == pivot_idx)((void) sizeof ((k == pivot_idx) ? 1 : 0), __extension__ ({ if
 (k == pivot_idx) ; else __assert_fail ("k == pivot_idx", "ccv_nnc_micro_simplify.c"
, 181, __extension__ __PRETTY_FUNCTION__); }));
182			pivot_idx = i + 1;
183		}
184		if (right_block->loops[i + right_start_idx].statement_count > 0)
185		{
186			for (j = i + 1, k = i + 1; j < end_idx; j++)
187				if (right_loop_idx[j + left_start_idx] == UNASSIGNED)
188				{
189					right_loop_idx[j + right_start_idx] = k + right_start_idx;
190					// If the left one can be referenced pass previous pivot_idx, it is not right.
191					if (right_left_link[j + right_start_idx] >= pivot_idx + left_start_idx)
192						return 0;
193					left_loop_idx[right_left_link[j + right_start_idx]] = k + left_start_idx;
194					++k;
195					if (k > pivot_idx)
196						return 0;
197				}
198			assert(k == pivot_idx)((void) sizeof ((k == pivot_idx) ? 1 : 0), __extension__ ({ if
 (k == pivot_idx) ; else __assert_fail ("k == pivot_idx", "ccv_nnc_micro_simplify.c"
, 198, __extension__ __PRETTY_FUNCTION__); }));
199			pivot_idx = i + 1;
200		}
201	}
202	if (end_idx == 0)
203		return 1;
204	// Finally, to distribute the rest.
205	for (j = 0, k = 0; j < end_idx; j++)
206	{
207		if (left_loop_idx[j + left_start_idx] == UNASSIGNED)
208		{
209			left_loop_idx[j + left_start_idx] = k + left_start_idx;
210			// If the right one can be referenced pass previous pivot_idx, it is not right.
211			if (left_right_link[j + left_start_idx] >= pivot_idx + right_start_idx)
212				return 0;
213			right_loop_idx[left_right_link[j + left_start_idx]] = k + right_start_idx;
214			++k;
215			if (k > pivot_idx)
216				return 0;
217		}
218	}
219	assert(k == pivot_idx)((void) sizeof ((k == pivot_idx) ? 1 : 0), __extension__ ({ if
 (k == pivot_idx) ; else __assert_fail ("k == pivot_idx", "ccv_nnc_micro_simplify.c"
, 219, __extension__ __PRETTY_FUNCTION__); }));
220	return 1;
221}
222 
223static void _ccv_nnc_loop_order_by(ccv_nnc_micro_loop_block_t* const block, int* const loop_idx, ccv_nnc_micro_loop_t* const loops)
224{
225	int i;
226	for (i = 0; i < block->loop_count; i++)
227		if (loop_idx[i] >= 0)
228			loops[loop_idx[i]] = block->loops[i];
229		else
230			loops[i] = block->loops[i];
231	for (i = 0; i < block->loop_count; i++)
232	{
233		// Essentially, we don't need to move statements, loop-carried variables, just the loop id and the start / end index.
234		block->loops[i].id = loops[i].id;
235		block->loops[i].start_index = loops[i].start_index;
236		block->loops[i].end_index = loops[i].end_index;
237	}
238}
239 
240static void _ccv_nnc_expression_rename_carrieds(ccv_nnc_micro_loop_expression_t* const expression, const int start_idx)
241{
242	switch (expression->type)
243	{
244		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_ID:
245			assert(expression->id.type == CCV_NNC_MICRO_LOOP_CARRIED_ID)((void) sizeof ((expression->id.type == CCV_NNC_MICRO_LOOP_CARRIED_ID
) ? 1 : 0), __extension__ ({ if (expression->id.type == CCV_NNC_MICRO_LOOP_CARRIED_ID
) ; else __assert_fail ("expression->id.type == CCV_NNC_MICRO_LOOP_CARRIED_ID"
, "ccv_nnc_micro_simplify.c", 245, __extension__ __PRETTY_FUNCTION__
); }));
246			expression->id.id += start_idx;
247			break;
248		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_TERNAY:
249			_ccv_nnc_expression_rename_carrieds(expression->ternary.pivot, start_idx);
250			_ccv_nnc_expression_rename_carrieds(expression->ternary.left, start_idx);
251			_ccv_nnc_expression_rename_carrieds(expression->ternary.right, start_idx);
252			break;
253		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_BINARY:
254			_ccv_nnc_expression_rename_carrieds(expression->binary.left, start_idx);
255			_ccv_nnc_expression_rename_carrieds(expression->binary.right, start_idx);
256			break;
257		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_UNARY:
258			_ccv_nnc_expression_rename_carrieds(expression->unary.x, start_idx);
259			break;
260		// We don't need to care about other expressions because loop-carried variable cannot participate these operations.
261		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_VAR:
262			break;
263	}
264}
265 
266static void _ccv_nnc_loop_rename_carrieds(ccv_nnc_micro_loop_block_t* const block, const int start_idx)
267{
268	int i, j;
269	const int loop_count = block->loop_count;
270	ccv_nnc_micro_loop_t* const loops = block->loops;
271	for (i = 0; i < loop_count; i++)
272	{
273		for (j = 0; j < loops[i].carried_count; j++)
274			loops[i].carrieds[j].id.id += start_idx;
275		for (j = 0; j < loops[i].statement_count; j++)
276			switch (loops[i].statements[j].type)
277			{
278				case CCV_NNC_MICRO_LOOP_STATEMENT_TYPE_ASSIGNMENT:
279					_ccv_nnc_expression_rename_carrieds(&loops[i].statements[j].compound_assignment.rvalue, start_idx);
280					break;
281				case CCV_NNC_MICRO_LOOP_STATEMENT_TYPE_COMPOUND_ASSIGNMENT:
282					if (loops[i].statements[j].compound_assignment.lvalue.type == CCV_NNC_MICRO_LOOP_EXPR_TYPE_ID)
283					{
284						assert(loops[i].statements[j].compound_assignment.lvalue.id.type == CCV_NNC_MICRO_LOOP_CARRIED_ID)((void) sizeof ((loops[i].statements[j].compound_assignment.lvalue
.id.type == CCV_NNC_MICRO_LOOP_CARRIED_ID) ? 1 : 0), __extension__
 ({ if (loops[i].statements[j].compound_assignment.lvalue.id.
type == CCV_NNC_MICRO_LOOP_CARRIED_ID) ; else __assert_fail (
"loops[i].statements[j].compound_assignment.lvalue.id.type == CCV_NNC_MICRO_LOOP_CARRIED_ID"
, "ccv_nnc_micro_simplify.c", 284, __extension__ __PRETTY_FUNCTION__
); }));
285						loops[i].statements[j].compound_assignment.lvalue.id.id += start_idx;
286					}
287					_ccv_nnc_expression_rename_carrieds(&loops[i].statements[j].compound_assignment.rvalue, start_idx);
288					break;
289			}
290	}
291}
292 
293static int _ccv_nnc_only_var_in_expression(const int id, const ccv_nnc_micro_loop_variable_t var, const ccv_nnc_micro_loop_expression_t* const expression, const int* const groups, khash_t(ccv_nnc_axis_id_group)kh_ccv_nnc_axis_id_group_t* const axis_id_groups)
294{
295	switch (expression->type)
296	{
297		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_VAR:
298			if (expression->variable.id.type == CCV_NNC_MICRO_TENSOR_ID && expression->variable.id.id == id)
299			{
300				if (var.index_count != expression->variable.index_count)
301					return 2;
302				int i;
303				for (i = 0; i < var.index_count; i++)
304					if (!_ccv_nnc_same_index_term(var.index[i], expression->variable.index[i], groups, axis_id_groups))
305						return 2;
306				return 1;
307			} else
308				return 0;
309		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_TERNAY: {
310			const int pivot = _ccv_nnc_only_var_in_expression(id, var, expression->ternary.pivot, groups, axis_id_groups);
311			const int left = _ccv_nnc_only_var_in_expression(id, var, expression->ternary.left, groups, axis_id_groups);
312			const int right = _ccv_nnc_only_var_in_expression(id, var, expression->ternary.right, groups, axis_id_groups);
313			if (pivot == 2 || left == 2 || right == 2)
314				return 2;
315			return (pivot || left || right);
316		}
317		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_BINARY: {
318			const int left = _ccv_nnc_only_var_in_expression(id, var, expression->binary.left, groups, axis_id_groups);
319			const int right = _ccv_nnc_only_var_in_expression(id, var, expression->binary.right, groups, axis_id_groups);
320			if (left == 2 || right == 2)
321				return 2;
322			return (left || right);
323		}
324		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_UNARY:
325			return _ccv_nnc_only_var_in_expression(id, var, expression->unary.x, groups, axis_id_groups);
326		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_ID:
327			assert(expression->id.type == CCV_NNC_MICRO_LOOP_CARRIED_ID)((void) sizeof ((expression->id.type == CCV_NNC_MICRO_LOOP_CARRIED_ID
) ? 1 : 0), __extension__ ({ if (expression->id.type == CCV_NNC_MICRO_LOOP_CARRIED_ID
) ; else __assert_fail ("expression->id.type == CCV_NNC_MICRO_LOOP_CARRIED_ID"
, "ccv_nnc_micro_simplify.c", 327, __extension__ __PRETTY_FUNCTION__
); }));
328			return 0;
329	}
330	return 0;
331}
332 
333static int _ccv_nnc_only_var_in_rvalue(const int id, const ccv_nnc_micro_loop_variable_t var, const ccv_nnc_micro_loop_statement_t statement, const int* const groups, khash_t(ccv_nnc_axis_id_group)kh_ccv_nnc_axis_id_group_t* const axis_id_groups)
334{
335	switch (statement.type)
336	{
337		case CCV_NNC_MICRO_LOOP_STATEMENT_TYPE_ASSIGNMENT:
338			return _ccv_nnc_only_var_in_expression(id, var, &statement.assignment.rvalue, groups, axis_id_groups);
339		case CCV_NNC_MICRO_LOOP_STATEMENT_TYPE_COMPOUND_ASSIGNMENT:
340			return _ccv_nnc_only_var_in_expression(id, var, &statement.compound_assignment.rvalue, groups, axis_id_groups);
341	}
342	return 0;
343}
344 
345static ccv_nnc_micro_loop_expression_t _ccv_nnc_expression_deep_copy(const ccv_nnc_micro_loop_expression_t* const expression)
346{
347	switch (expression->type)
348	{
349		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_TERNAY: {
350			ccv_nnc_micro_loop_expression_t copy = *expression;
351			copy.ternary.pivot = (ccv_nnc_micro_loop_expression_t*)ccmallocmalloc(sizeof(ccv_nnc_micro_loop_expression_t));
352			*copy.ternary.pivot = _ccv_nnc_expression_deep_copy(expression->ternary.pivot);
353			copy.ternary.left = (ccv_nnc_micro_loop_expression_t*)ccmallocmalloc(sizeof(ccv_nnc_micro_loop_expression_t));
354			*copy.ternary.left = _ccv_nnc_expression_deep_copy(expression->ternary.left);
355			copy.ternary.right = (ccv_nnc_micro_loop_expression_t*)ccmallocmalloc(sizeof(ccv_nnc_micro_loop_expression_t));
356			*copy.ternary.right = _ccv_nnc_expression_deep_copy(expression->ternary.right);
357			return copy;
358		}
359		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_BINARY: {
360			ccv_nnc_micro_loop_expression_t copy = *expression;
361			copy.binary.left = (ccv_nnc_micro_loop_expression_t*)ccmallocmalloc(sizeof(ccv_nnc_micro_loop_expression_t));
362			*copy.binary.left = _ccv_nnc_expression_deep_copy(expression->binary.left);
363			copy.binary.right = (ccv_nnc_micro_loop_expression_t*)ccmallocmalloc(sizeof(ccv_nnc_micro_loop_expression_t));
364			*copy.binary.right = _ccv_nnc_expression_deep_copy(expression->binary.right);
365			return copy;
366		}
367		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_UNARY: {
368			ccv_nnc_micro_loop_expression_t copy = *expression;
369			copy.unary.x = (ccv_nnc_micro_loop_expression_t*)ccmallocmalloc(sizeof(ccv_nnc_micro_loop_expression_t));
370			*copy.unary.x = _ccv_nnc_expression_deep_copy(expression->unary.x);
371			return copy;
372		}
373		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_VAR: {
374			ccv_nnc_micro_loop_expression_t copy = *expression;
375			int i;
376			for (i = 0; i < copy.variable.index_count; i++)
377				copy.variable.index[i] = ccv_nnc_micro_loop_index_deep_copy(&copy.variable.index[i]);
378			return copy;
379		}
380		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_ID:
381			return *expression;
382	}
383	return *expression;
384}
385 
386static void _ccv_nnc_replacing_id_in_expression(ccv_nnc_micro_loop_expression_t* const expression, const int id, ccv_nnc_micro_loop_expression_t rvalue, int* const count)
387{
388	switch (expression->type)
389	{
390		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_VAR:
391			if (expression->variable.id.type == CCV_NNC_MICRO_TENSOR_ID && expression->variable.id.id == id)
392			{
393				ccv_nnc_micro_loop_variable_free(&expression->variable);
394				if (*count == 0) // First time, just assign to expression.
395					*expression = rvalue;
396				else // Otherwise, need to make deep copy of it.
397					*expression = _ccv_nnc_expression_deep_copy(&rvalue);
398				++(*count);
399			}
400			break;
401		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_TERNAY:
402			_ccv_nnc_replacing_id_in_expression(expression->ternary.pivot, id, rvalue, count);
403			_ccv_nnc_replacing_id_in_expression(expression->ternary.left, id, rvalue, count);
404			_ccv_nnc_replacing_id_in_expression(expression->ternary.right, id, rvalue, count);
405			break;
406		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_BINARY:
407			_ccv_nnc_replacing_id_in_expression(expression->binary.left, id, rvalue, count);
408			_ccv_nnc_replacing_id_in_expression(expression->binary.right, id, rvalue, count);
409			break;
410		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_UNARY:
411			_ccv_nnc_replacing_id_in_expression(expression->unary.x, id, rvalue, count);
412			break;
413		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_ID:
414			assert(expression->id.type == CCV_NNC_MICRO_LOOP_CARRIED_ID)((void) sizeof ((expression->id.type == CCV_NNC_MICRO_LOOP_CARRIED_ID
) ? 1 : 0), __extension__ ({ if (expression->id.type == CCV_NNC_MICRO_LOOP_CARRIED_ID
) ; else __assert_fail ("expression->id.type == CCV_NNC_MICRO_LOOP_CARRIED_ID"
, "ccv_nnc_micro_simplify.c", 414, __extension__ __PRETTY_FUNCTION__
); }));
415			break;
416	}
417}
418 
419static void _ccv_nnc_replacing_id_in_rvalue(ccv_nnc_micro_loop_statement_t* const statement, const int id, ccv_nnc_micro_loop_expression_t rvalue, int* const count)
420{
421	switch (statement->type)
422	{
423		case CCV_NNC_MICRO_LOOP_STATEMENT_TYPE_ASSIGNMENT:
424			_ccv_nnc_replacing_id_in_expression(&statement->assignment.rvalue, id, rvalue, count);
425			break;
426		case CCV_NNC_MICRO_LOOP_STATEMENT_TYPE_COMPOUND_ASSIGNMENT:
427			// Not going to be in lvalue (which is the carried variable only).
428			_ccv_nnc_replacing_id_in_expression(&statement->compound_assignment.rvalue, id, rvalue, count);
429			break;
430	}
431}
432 
433typedef struct {
434	int flag;
435	int merge_to;
436	ccv_array_t* writes;
437	ccv_array_t* reads;
438} ccv_nnc_micro_loop_block_dependency_t;
439 
440typedef struct {
441	int flag;
442	ccv_array_t* writes;
443	ccv_array_t* reads;
444} ccv_nnc_micro_tensor_dependency_t;
445 
446static void _ccv_nnc_micro_block_dependencies_from_rvalue(const ccv_nnc_micro_loop_expression_t* const rvalue, const int i, ccv_nnc_micro_loop_block_dependency_t* const block_dependencies, ccv_nnc_micro_tensor_dependency_t* const tensor_dependencies)
447{
448	switch (rvalue->type)
449	{
450		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_VAR:
451			if (rvalue->variable.id.type == CCV_NNC_MICRO_TENSOR_ID)
452			{
453				if (!block_dependencies[i].reads)
454					block_dependencies[i].reads = ccv_array_new(sizeof(int), 1, 0);
455				const int id = rvalue->variable.id.id;
456				ccv_array_add_unique_int(block_dependencies[i].reads, id);
457				if (!tensor_dependencies[id].reads)
458					tensor_dependencies[id].reads = ccv_array_new(sizeof(int), 1, 0);
459				ccv_array_add_unique_int(tensor_dependencies[id].reads, i);
460			}
461			break;
462		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_TERNAY:
463			_ccv_nnc_micro_block_dependencies_from_rvalue(rvalue->ternary.pivot, i, block_dependencies, tensor_dependencies);
464			_ccv_nnc_micro_block_dependencies_from_rvalue(rvalue->ternary.left, i, block_dependencies, tensor_dependencies);
465			_ccv_nnc_micro_block_dependencies_from_rvalue(rvalue->ternary.right, i, block_dependencies, tensor_dependencies);
466			break;
467		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_BINARY:
468			_ccv_nnc_micro_block_dependencies_from_rvalue(rvalue->binary.left, i, block_dependencies, tensor_dependencies);
469			_ccv_nnc_micro_block_dependencies_from_rvalue(rvalue->binary.right, i, block_dependencies, tensor_dependencies);
470			break;
471		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_UNARY:
472			_ccv_nnc_micro_block_dependencies_from_rvalue(rvalue->unary.x, i, block_dependencies, tensor_dependencies);
473			break;
474		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_ID:
475			assert(rvalue->id.type == CCV_NNC_MICRO_LOOP_CARRIED_ID)((void) sizeof ((rvalue->id.type == CCV_NNC_MICRO_LOOP_CARRIED_ID
) ? 1 : 0), __extension__ ({ if (rvalue->id.type == CCV_NNC_MICRO_LOOP_CARRIED_ID
) ; else __assert_fail ("rvalue->id.type == CCV_NNC_MICRO_LOOP_CARRIED_ID"
, "ccv_nnc_micro_simplify.c", 475, __extension__ __PRETTY_FUNCTION__
); }));
476			break;
477	}
478}
479 
480static void _ccv_nnc_micro_block_dependencies(const ccv_nnc_micro_loop_block_t* const blocks, const int block_size, const int var_count, ccv_nnc_micro_loop_block_dependency_t** const block_dependencies_ref, ccv_nnc_micro_tensor_dependency_t** const tensor_dependencies_ref)
481{
482	ccv_nnc_micro_loop_block_dependency_t* const block_dependencies = (ccv_nnc_micro_loop_block_dependency_t*)cccalloccalloc(block_size, sizeof(ccv_nnc_micro_loop_block_dependency_t));
483	ccv_nnc_micro_tensor_dependency_t* const tensor_dependencies = (ccv_nnc_micro_tensor_dependency_t*)cccalloccalloc(var_count, sizeof(ccv_nnc_micro_tensor_dependency_t));
484	int i, j, k;
485	for (i = 0; i < block_size; i++)
486	{
487		block_dependencies[i].merge_to = i;
488		const ccv_nnc_micro_loop_t* const loops = blocks[i].loops;
489		const int loop_count = blocks[i].loop_count;
490		for (j = 0; j < loop_count; j++)
491		{
492			const ccv_nnc_micro_loop_statement_t* const statements = loops[j].statements;
493			const int statement_count = loops[j].statement_count;
494			for (k = 0; k < statement_count; k++)
495				switch (statements[k].type)
496				{
497					case CCV_NNC_MICRO_LOOP_STATEMENT_TYPE_ASSIGNMENT: {
498						assert(statements[k].assignment.lvalue.id.type == CCV_NNC_MICRO_TENSOR_ID)((void) sizeof ((statements[k].assignment.lvalue.id.type == CCV_NNC_MICRO_TENSOR_ID
) ? 1 : 0), __extension__ ({ if (statements[k].assignment.lvalue
.id.type == CCV_NNC_MICRO_TENSOR_ID) ; else __assert_fail ("statements[k].assignment.lvalue.id.type == CCV_NNC_MICRO_TENSOR_ID"
, "ccv_nnc_micro_simplify.c", 498, __extension__ __PRETTY_FUNCTION__
); }));
499						const int id = statements[k].assignment.lvalue.id.id;
500						if (!block_dependencies[i].writes)
501							block_dependencies[i].writes = ccv_array_new(sizeof(int), 1, 0);
502						ccv_array_add_unique_int(block_dependencies[i].writes, id);
503						if (!tensor_dependencies[id].writes)
504							tensor_dependencies[id].writes = ccv_array_new(sizeof(int), 1, 0);
505						ccv_array_add_unique_int(tensor_dependencies[id].writes, i);
506						_ccv_nnc_micro_block_dependencies_from_rvalue(&statements[k].assignment.rvalue, i, block_dependencies, tensor_dependencies);
507						break;
508					}
509					case CCV_NNC_MICRO_LOOP_STATEMENT_TYPE_COMPOUND_ASSIGNMENT: {
510						if (statements[k].compound_assignment.lvalue.type == CCV_NNC_MICRO_LOOP_EXPR_TYPE_VAR)
511						{
512							assert(statements[k].compound_assignment.lvalue.id.type == CCV_NNC_MICRO_TENSOR_ID)((void) sizeof ((statements[k].compound_assignment.lvalue.id.
type == CCV_NNC_MICRO_TENSOR_ID) ? 1 : 0), __extension__ ({ if
 (statements[k].compound_assignment.lvalue.id.type == CCV_NNC_MICRO_TENSOR_ID
) ; else __assert_fail ("statements[k].compound_assignment.lvalue.id.type == CCV_NNC_MICRO_TENSOR_ID"
, "ccv_nnc_micro_simplify.c", 512, __extension__ __PRETTY_FUNCTION__
); }));
513							const int id = statements[k].compound_assignment.lvalue.id.id;
514							if (!block_dependencies[i].writes)
515								block_dependencies[i].writes = ccv_array_new(sizeof(int), 1, 0);
516							ccv_array_add_unique_int(block_dependencies[i].writes, id);
517							if (!tensor_dependencies[id].writes)
518								tensor_dependencies[id].writes = ccv_array_new(sizeof(int), 1, 0);
519							ccv_array_add_unique_int(tensor_dependencies[id].writes, i);
520							if (!block_dependencies[i].reads)
521								block_dependencies[i].reads = ccv_array_new(sizeof(int), 1, 0);
522							ccv_array_add_unique_int(block_dependencies[i].reads, id);
523							if (!tensor_dependencies[id].reads)
524								tensor_dependencies[id].reads = ccv_array_new(sizeof(int), 1, 0);
525							ccv_array_add_unique_int(tensor_dependencies[id].reads, i);
526						}
527						_ccv_nnc_micro_block_dependencies_from_rvalue(&statements[k].compound_assignment.rvalue, i, block_dependencies, tensor_dependencies);
528						break;
529					}
530				}
531		}
532	}
533	*block_dependencies_ref = block_dependencies;
534	*tensor_dependencies_ref = tensor_dependencies;
535}
536 
537static void _ccv_nnc_micro_dependencies_free(ccv_nnc_micro_loop_block_dependency_t* const block_dependencies, const int block_size, ccv_nnc_micro_tensor_dependency_t* const tensor_dependencies, const int var_count)
538{
539	int i;
540	for (i = 0; i < block_size; i++)
541	{
542		if (block_dependencies[i].writes)
543			ccv_array_free(block_dependencies[i].writes);
544		if (block_dependencies[i].reads)
545			ccv_array_free(block_dependencies[i].reads);
546	}
547	ccfreefree(block_dependencies);
548	for (i = 0; i < var_count; i++)
549	{
550		if (tensor_dependencies[i].writes)
551			ccv_array_free(tensor_dependencies[i].writes);
552		if (tensor_dependencies[i].reads)
553			ccv_array_free(tensor_dependencies[i].reads);
554	}
555	ccfreefree(tensor_dependencies);
556}
557 
558static int _ccv_nnc_tensor_reads_in_y_from_writes_after_x(const ccv_nnc_micro_loop_block_dependency_t* const block_dependencies, const ccv_nnc_micro_tensor_dependency_t* const tensor_dependencies, const int x, const int y)
559{
560	int i, j;
561	int flag = 0;
562	for (i = 0; !flag && i < block_dependencies[y].reads->rnum; i++)
563	{
564		const int read_idx = *(int*)ccv_array_get(block_dependencies[y].reads, i)((void*)(((char*)((block_dependencies[y].reads)->data)) + (
size_t)(block_dependencies[y].reads)->rsize * (size_t)(i))
);
565		if (tensor_dependencies[read_idx].writes)
566			for (j = 0; !flag && j < tensor_dependencies[read_idx].writes->rnum; j++)
567			{
568				int block_idx = *(int*)ccv_array_get(tensor_dependencies[read_idx].writes, j)((void*)(((char*)((tensor_dependencies[read_idx].writes)->
data)) + (size_t)(tensor_dependencies[read_idx].writes)->rsize
 * (size_t)(j)));
569				while (block_idx != block_dependencies[block_idx].merge_to)
570					block_idx = block_dependencies[block_idx].merge_to;
571				if (!block_dependencies[block_idx].flag) // Not in use, continue.
572					continue;
573				assert(block_idx <= y)((void) sizeof ((block_idx <= y) ? 1 : 0), __extension__ (
{ if (block_idx <= y) ; else __assert_fail ("block_idx <= y"
, "ccv_nnc_micro_simplify.c", 573, __extension__ __PRETTY_FUNCTION__
); }));
574				// If the block_idx is between i and j (and not neither). We cannot merge.
575				if (block_idx > x && block_idx != y)
576					flag = block_idx;
577			}
578	}
579	return flag;
580}
581 
582static int _ccv_nnc_tensor_writes_in_x_reads_before_y(const ccv_nnc_micro_loop_block_dependency_t* const block_dependencies, const ccv_nnc_micro_tensor_dependency_t* const tensor_dependencies, const int x, const int y)
583{
584	int i, j;
585	int flag = 0;
586	for (i = 0; !flag && i < block_dependencies[x].writes->rnum; i++)
587	{
588		const int write_idx = *(int*)ccv_array_get(block_dependencies[x].writes, i)((void*)(((char*)((block_dependencies[x].writes)->data)) +
 (size_t)(block_dependencies[x].writes)->rsize * (size_t)(
i)));
589		if (tensor_dependencies[write_idx].reads)
590			for (j = 0; !flag && j < tensor_dependencies[write_idx].reads->rnum; j++)
591			{
592				int block_idx = *(int*)ccv_array_get(tensor_dependencies[write_idx].reads, j)((void*)(((char*)((tensor_dependencies[write_idx].reads)->
data)) + (size_t)(tensor_dependencies[write_idx].reads)->rsize
 * (size_t)(j)));
593				while (block_idx != block_dependencies[block_idx].merge_to)
594					block_idx = block_dependencies[block_idx].merge_to;
595				if (!block_dependencies[block_idx].flag) // Not in use, continue.
596					continue;
597				assert(block_idx >= x)((void) sizeof ((block_idx >= x) ? 1 : 0), __extension__ (
{ if (block_idx >= x) ; else __assert_fail ("block_idx >= x"
, "ccv_nnc_micro_simplify.c", 597, __extension__ __PRETTY_FUNCTION__
); }));
598				// If the block_idx is between i and j (and not neither). We cannot merge.
599				if (block_idx < y && block_idx != x)
600					flag = block_idx;
601			}
602	}
603	return flag;
604}
605 
606static void _ccv_nnc_tensor_remove_dead_store(const ccv_nnc_micro_tensor_dependency_t* const tensor_dependency, const int tensor_idx, ccv_array_t* const blocks)
607{
608	int i, j, k, l;;
609	if (tensor_dependency->writes)
610		for (i = 0; i < tensor_dependency->writes->rnum; i++)
611		{
612			const int write_idx = *(int*)ccv_array_get(tensor_dependency->writes, i)((void*)(((char*)((tensor_dependency->writes)->data)) +
 (size_t)(tensor_dependency->writes)->rsize * (size_t)(
i)));
613			ccv_nnc_micro_loop_block_t* const block = (ccv_nnc_micro_loop_block_t*)ccv_array_get(blocks, write_idx)((void*)(((char*)((blocks)->data)) + (size_t)(blocks)->
rsize * (size_t)(write_idx)));
614			int flag = 0;
615			for (j = 0; j < block->loop_count; j++)
616			{
617				ccv_nnc_micro_loop_statement_t* const statements = block->loops[j].statements;
618				for (k = 0, l = 0; k < block->loops[j].statement_count; k++)
619				{
620					// It cannot be compound assignment, in this case, this tensor will be in read, and
621					// it will be in active use (anything "read" in an active block will be marked as in use).
622					assert(!(statements[k].type == CCV_NNC_MICRO_LOOP_STATEMENT_TYPE_COMPOUND_ASSIGNMENT &&((void) sizeof ((!(statements[k].type == CCV_NNC_MICRO_LOOP_STATEMENT_TYPE_COMPOUND_ASSIGNMENT
 && statements[k].compound_assignment.lvalue.id.type ==
 CCV_NNC_MICRO_TENSOR_ID && statements[k].compound_assignment
.lvalue.id.id == tensor_idx)) ? 1 : 0), __extension__ ({ if (
!(statements[k].type == CCV_NNC_MICRO_LOOP_STATEMENT_TYPE_COMPOUND_ASSIGNMENT
 && statements[k].compound_assignment.lvalue.id.type ==
 CCV_NNC_MICRO_TENSOR_ID && statements[k].compound_assignment
.lvalue.id.id == tensor_idx)) ; else __assert_fail ("!(statements[k].type == CCV_NNC_MICRO_LOOP_STATEMENT_TYPE_COMPOUND_ASSIGNMENT && statements[k].compound_assignment.lvalue.id.type == CCV_NNC_MICRO_TENSOR_ID && statements[k].compound_assignment.lvalue.id.id == tensor_idx)"
, "ccv_nnc_micro_simplify.c", 624, __extension__ __PRETTY_FUNCTION__
); }))
623						statements[k].compound_assignment.lvalue.id.type == CCV_NNC_MICRO_TENSOR_ID &&((void) sizeof ((!(statements[k].type == CCV_NNC_MICRO_LOOP_STATEMENT_TYPE_COMPOUND_ASSIGNMENT
 && statements[k].compound_assignment.lvalue.id.type ==
 CCV_NNC_MICRO_TENSOR_ID && statements[k].compound_assignment
.lvalue.id.id == tensor_idx)) ? 1 : 0), __extension__ ({ if (
!(statements[k].type == CCV_NNC_MICRO_LOOP_STATEMENT_TYPE_COMPOUND_ASSIGNMENT
 && statements[k].compound_assignment.lvalue.id.type ==
 CCV_NNC_MICRO_TENSOR_ID && statements[k].compound_assignment
.lvalue.id.id == tensor_idx)) ; else __assert_fail ("!(statements[k].type == CCV_NNC_MICRO_LOOP_STATEMENT_TYPE_COMPOUND_ASSIGNMENT && statements[k].compound_assignment.lvalue.id.type == CCV_NNC_MICRO_TENSOR_ID && statements[k].compound_assignment.lvalue.id.id == tensor_idx)"
, "ccv_nnc_micro_simplify.c", 624, __extension__ __PRETTY_FUNCTION__
); }))
624						statements[k].compound_assignment.lvalue.id.id == tensor_idx))((void) sizeof ((!(statements[k].type == CCV_NNC_MICRO_LOOP_STATEMENT_TYPE_COMPOUND_ASSIGNMENT
 && statements[k].compound_assignment.lvalue.id.type ==
 CCV_NNC_MICRO_TENSOR_ID && statements[k].compound_assignment
.lvalue.id.id == tensor_idx)) ? 1 : 0), __extension__ ({ if (
!(statements[k].type == CCV_NNC_MICRO_LOOP_STATEMENT_TYPE_COMPOUND_ASSIGNMENT
 && statements[k].compound_assignment.lvalue.id.type ==
 CCV_NNC_MICRO_TENSOR_ID && statements[k].compound_assignment
.lvalue.id.id == tensor_idx)) ; else __assert_fail ("!(statements[k].type == CCV_NNC_MICRO_LOOP_STATEMENT_TYPE_COMPOUND_ASSIGNMENT && statements[k].compound_assignment.lvalue.id.type == CCV_NNC_MICRO_TENSOR_ID && statements[k].compound_assignment.lvalue.id.id == tensor_idx)"
, "ccv_nnc_micro_simplify.c", 624, __extension__ __PRETTY_FUNCTION__
); }));
625					if (statements[k].type == CCV_NNC_MICRO_LOOP_STATEMENT_TYPE_ASSIGNMENT &&
626						statements[k].assignment.lvalue.id.type == CCV_NNC_MICRO_TENSOR_ID &&
627						statements[k].assignment.lvalue.id.id == tensor_idx)
628					{
629						// This is a dead store, prepare to remove.
630						ccv_nnc_micro_loop_statement_free(&statements[k]);
631					} else {
632						statements[l] = statements[k];
633						++l;
634					}
635				}
636				if (l < block->loops[j].statement_count)
637				{
638					if (l > 0)
639						block->loops[j].statements = (ccv_nnc_micro_loop_statement_t*)ccreallocrealloc(block->loops[j].statements, sizeof(ccv_nnc_micro_loop_statement_t) * l);
640					else {
641						ccfreefree(block->loops[j].statements);
642						block->loops[j].statements = 0;
643					}
644					block->loops[j].statement_count = 0;
645				}
646				if (block->loops[j].statement_count > 0)
647					flag = 1;
648			}
649			if (!flag) // No statement for this block, remove this whole block.
650			{
651				ccv_nnc_micro_loops_free(block->loops, block->loop_count);
652				ccfreefree(block->loops);
653				block->loops = 0;
654				block->loop_count = 0;
655			}
656		}
657}
658 
659static void _ccv_nnc_loop_merging(ccv_nnc_micro_loop_block_dependency_t* const block_dependencies, const ccv_nnc_micro_tensor_dependency_t* const tensor_dependencies, ccv_array_t* const blocks, const int max_loop_count, const int* const groups, khash_t(ccv_nnc_axis_id_group)kh_ccv_nnc_axis_id_group_t* const axis_id_groups)
660{
661	int i, j;
662	int left_loop_idx[max_loop_count];
663	int right_loop_idx[max_loop_count];
664	ccv_nnc_micro_loop_t loops[max_loop_count];
665	// Merge loops from blocks.
666	for (i = 0; i < blocks->rnum - 1; i++)
667	{
668		ccv_nnc_micro_loop_block_t* const left_block = (ccv_nnc_micro_loop_block_t*)ccv_array_get(blocks, i)((void*)(((char*)((blocks)->data)) + (size_t)(blocks)->
rsize * (size_t)(i)));
669		if (left_block->loop_count == 0)
670			continue;
671		for (j = i + 1; j < blocks->rnum; j++)
672		{
673			// We always merge from right block to left block. Thus, the right block will always be
674			// in the original form.
675			ccv_nnc_micro_loop_block_t* const right_block = (ccv_nnc_micro_loop_block_t*)ccv_array_get(blocks, j)((void*)(((char*)((blocks)->data)) + (size_t)(blocks)->
rsize * (size_t)(j)));
676			if (right_block->loop_count == 0)
677				continue;
678			int merge_to_right = 0;
679			// First check whether between left and right, there are any blocks that the right block
680			// depends on. If that is the case, we cannot merge the right block into the left block.
681			if (j > i + 1 && block_dependencies[j].reads)
682			{
683				const int block_idx = _ccv_nnc_tensor_reads_in_y_from_writes_after_x(block_dependencies, tensor_dependencies, i, j);
684				// Cannot merge because we have dependencies in between. Merging will violate that
685				// dependency relationship.
686				if (block_idx)
687				{
688					// Now check to see if left can be merged into right? If so, we are lucky.
689					if (_ccv_nnc_tensor_writes_in_x_reads_before_y(block_dependencies, tensor_dependencies, i, j))
690						continue;
691					merge_to_right = 1;
692				}
693			}
694			// This method not only compares whether they have the same loop or not, but also gives indexes that
695			// to match the loop start / end index, where they should move to. For example, if:
696			// left_loop_idx[2] = 3
697			// right_loop_idx[0] = 3
698			// That means right now, loop at index 2 on the left is the same as loop at index 0 on the right.
699			// And to match exactly, they both need to move to index 3.
700			if (_ccv_nnc_same_loop(left_block, right_block, groups, axis_id_groups, left_loop_idx, right_loop_idx))
701			{
702				// Make sure if we have extra loop, they are on the left.
703				if (right_block->loop_count > left_block->loop_count)
704				{
705					ccv_nnc_micro_loop_block_t t;
706					CCV_SWAP(*left_block, *right_block, t)((t) = (*left_block), (*left_block) = (*right_block), (*right_block
) = (t));
707				}
708				assert(left_block->loop_count == right_block->loop_count || left_block->loop_count == right_block->loop_count + 1)((void) sizeof ((left_block->loop_count == right_block->
loop_count || left_block->loop_count == right_block->loop_count
 + 1) ? 1 : 0), __extension__ ({ if (left_block->loop_count
 == right_block->loop_count || left_block->loop_count ==
 right_block->loop_count + 1) ; else __assert_fail ("left_block->loop_count == right_block->loop_count || left_block->loop_count == right_block->loop_count + 1"
, "ccv_nnc_micro_simplify.c", 708, __extension__ __PRETTY_FUNCTION__
); }));
709				_ccv_nnc_loop_order_by(left_block, left_loop_idx, loops);
710				_ccv_nnc_loop_order_by(right_block, right_loop_idx, loops);
711				const int left_start_idx = left_block->loop_count - right_block->loop_count;
712				if (left_block->carried_count > 0)
713					_ccv_nnc_loop_rename_carrieds(right_block, left_block->carried_count);
714				left_block->carried_count += right_block->carried_count;
715				int k;
716				for (k = 0; k < right_block->loop_count; k++) // Merge loops.
717				{
718					const int left_idx = left_start_idx + k;
719					if (right_block->loops[k].carried_count > 0)
720					{
721						if (left_block->loops[left_idx].carried_count > 0)
722						{
723							left_block->loops[left_idx].carrieds = (ccv_nnc_micro_loop_carried_t*)ccreallocrealloc(left_block->loops[left_idx].carrieds, sizeof(ccv_nnc_micro_loop_carried_t) * (left_block->loops[left_idx].carried_count + right_block->loops[k].carried_count));
724							memcpy(left_block->loops[left_idx].carrieds + left_block->loops[left_idx].carried_count, right_block->loops[k].carrieds, sizeof(ccv_nnc_micro_loop_carried_t) * right_block->loops[k].carried_count);
725							ccfreefree(right_block->loops[k].carrieds);
726						} else
727							left_block->loops[left_idx].carrieds = right_block->loops[k].carrieds;
728						left_block->loops[left_idx].carried_count += right_block->loops[k].carried_count;
729						right_block->loops[k].carrieds = 0;
730						right_block->loops[k].carried_count = 0;
731					}
732					if (right_block->loops[k].statement_count > 0)
733					{
734						if (left_block->loops[left_idx].statement_count > 0)
735						{
736							left_block->loops[left_idx].statements = (ccv_nnc_micro_loop_statement_t*)ccreallocrealloc(left_block->loops[left_idx].statements, sizeof(ccv_nnc_micro_loop_statement_t) * (left_block->loops[left_idx].statement_count + right_block->loops[k].statement_count));
737							memcpy(left_block->loops[left_idx].statements + left_block->loops[left_idx].statement_count, right_block->loops[k].statements, sizeof(ccv_nnc_micro_loop_statement_t) * right_block->loops[k].statement_count);
738							ccfreefree(right_block->loops[k].statements);
739						} else
740							left_block->loops[left_idx].statements = right_block->loops[k].statements;
741						left_block->loops[left_idx].statement_count += right_block->loops[k].statement_count;
742						right_block->loops[k].statements = 0;
743						right_block->loops[k].statement_count = 0;
744					}
745				}
746				// Once merged, free the loop.
747				ccfreefree(right_block->loops);
748				right_block->loops = 0;
749				right_block->loop_count = 0;
750				int x = i, y = j;
751				if (merge_to_right) // If this is merge to right.
752				{
753					ccv_nnc_micro_loop_block_t t;
754					CCV_SWAP(*left_block, *right_block, t)((t) = (*left_block), (*left_block) = (*right_block), (*right_block
) = (t));
755					x = j, y = i;
756				}
757				// Merge all reads and writes tensors into block dependency.
758				if (block_dependencies[y].writes && block_dependencies[y].writes->rnum)
759				{
760					if (!block_dependencies[x].writes)
761						block_dependencies[x].writes = ccv_array_new(sizeof(int), 1, 0);
762					for (k = 0; k < block_dependencies[y].writes->rnum; k++)
763						ccv_array_push(block_dependencies[x].writes, ccv_array_get(block_dependencies[y].writes, k)((void*)(((char*)((block_dependencies[y].writes)->data)) +
 (size_t)(block_dependencies[y].writes)->rsize * (size_t)(
k))));
764				}
765				if (block_dependencies[y].reads && block_dependencies[y].reads->rnum)
766				{
767					if (!block_dependencies[x].reads)
768						block_dependencies[x].reads = ccv_array_new(sizeof(int), 1, 0);
769					for (k = 0; k < block_dependencies[y].reads->rnum; k++)
770						ccv_array_push(block_dependencies[x].reads, ccv_array_get(block_dependencies[y].reads, k)((void*)(((char*)((block_dependencies[y].reads)->data)) + (
size_t)(block_dependencies[y].reads)->rsize * (size_t)(k))
));
771				}
772				// Merged, mark the proper merging dependency.
773				block_dependencies[y].merge_to = x;
774				if (merge_to_right) // If this is merge to right, now left is empty, break.
775					break;
776			}
777		}
778	}
779}
780 
781static void _ccv_nnc_var_subst(ccv_nnc_micro_tensor_t* const vars, const int var_count, const ccv_nnc_micro_io_t* const inputs, const int input_size, const ccv_nnc_micro_io_t* const outputs, const int output_size, ccv_array_t* const blocks, const int* const groups, khash_t(ccv_nnc_axis_id_group)kh_ccv_nnc_axis_id_group_t* const axis_id_groups)
782{
783	int i, j;
784	// These are simple programs, so we are going to loop over all blocks to see whether a non-output-input
785	// var only write / read in one loop. If that is the case, we are going to remove that var.
786	// We have to do this replacement from bottom to top though.
787	for (i = 0; i < var_count; i++)
788	{
789		int flag = 0;
790		for (j = 0; !flag && j < input_size; j++)
791			flag = (inputs[j]->id == i);
792		for (j = 0; !flag && j < output_size; j++)
793			flag = (outputs[j]->id == i);
794		if (flag) // This is in outputs or inputs.
795			continue;
796		int count_var = 0;
797		ccv_nnc_micro_loop_variable_t lvalue;
798		ccv_nnc_micro_loop_expression_t rvalue;
799		int block_idx, loop_idx, statement_idx;
800		for (j = 0; j < blocks->rnum; j++)
801		{
802			const ccv_nnc_micro_loop_block_t* const block = (ccv_nnc_micro_loop_block_t*)ccv_array_get(blocks, j)((void*)(((char*)((blocks)->data)) + (size_t)(blocks)->
rsize * (size_t)(j)));
803			int k, l;
804			const int loop_count = block->loop_count;
805			const ccv_nnc_micro_loop_t* const loops = block->loops;
806			int var_per_block = 0;
807			for (k = 0; k < loop_count; k++)
808			{
809				int flag = 0;
810				const int statement_count = loops[k].statement_count;
811				ccv_nnc_micro_loop_statement_t* const statements = loops[k].statements;
812				for (l = 0; l < statement_count; l++)
813					if (statements[l].type == CCV_NNC_MICRO_LOOP_STATEMENT_TYPE_ASSIGNMENT &&
814						statements[l].assignment.lvalue.id.type == CCV_NNC_MICRO_TENSOR_ID &&
815						statements[l].assignment.lvalue.id.id == i)
816					{
817						lvalue = statements[l].assignment.lvalue;
818						if (_ccv_nnc_only_var_in_rvalue(i, lvalue, statements[l], groups, axis_id_groups))
819							flag = 2;
820						else {
821							// If the variable not showing up on the right-side, we can continue.
822							rvalue = statements[l].assignment.rvalue;
823							block_idx = j;
824							loop_idx = k;
825							statement_idx = l;
826							++flag;
827						}
828					} else if (statements[l].type == CCV_NNC_MICRO_LOOP_STATEMENT_TYPE_COMPOUND_ASSIGNMENT &&
829						statements[l].compound_assignment.lvalue.id.type == CCV_NNC_MICRO_TENSOR_ID &&
830						statements[l].compound_assignment.lvalue.id.id == i) {
831						// This is compound assignment, automatically increase by 2.
832						flag += 2;
833					}
834				if (flag > 1) // We have more than 1 assignment for this id, it is not good. We cannot remove it.
835				{
836					var_per_block += flag;
837					continue;
838				}
839				for (l = 0; l < statement_count; l++)
840					flag = ccv_max(flag, _ccv_nnc_only_var_in_rvalue(i, lvalue, statements[l], groups, axis_id_groups))({ typeof (flag) _a = (flag); typeof (_ccv_nnc_only_var_in_rvalue
(i, lvalue, statements[l], groups, axis_id_groups)) _b = (_ccv_nnc_only_var_in_rvalue
(i, lvalue, statements[l], groups, axis_id_groups)); (_a >
 _b) ? _a : _b; });
841				// If flag == 2, meaning it found a var with a different index. This is a bad news.
842				var_per_block += flag;
843			}
844			count_var += var_per_block;
845		}
846		// If this is used more than one place (write multiple times, have different index, or used in different blocks),
847		// I cannot get rid of it.
848		if (count_var != 1)
849			continue;
850		// Otherwise, now loop again and prepare to get rid of it.
851		ccv_nnc_micro_loop_block_t* const block = (ccv_nnc_micro_loop_block_t*)ccv_array_get(blocks, block_idx)((void*)(((char*)((blocks)->data)) + (size_t)(blocks)->
rsize * (size_t)(block_idx)));
852		ccv_nnc_micro_loop_statement_t* statements = block->loops[loop_idx].statements;
853		ccv_nnc_micro_loop_statement_t statement = statements[statement_idx];
854		// First, remove the assignment.
855		if (statement_idx < block->loops[loop_idx].statement_count - 1)
856			memmove(statements + statement_idx, statements + statement_idx + 1, sizeof(ccv_nnc_micro_loop_statement_t) * (block->loops[loop_idx].statement_count - statement_idx - 1));
857		--block->loops[loop_idx].statement_count;
858		const int statement_count = block->loops[loop_idx].statement_count;
859		statements = block->loops[loop_idx].statements = (ccv_nnc_micro_loop_statement_t*)ccreallocrealloc(statements, sizeof(ccv_nnc_micro_loop_statement_t) * statement_count);
860		int k = 0;
861		for (j = 0; j < statement_count; j++)
862			_ccv_nnc_replacing_id_in_rvalue(&statements[j], i, rvalue, &k);
863		if (k == 0) // If nothing to replace, free up everything.
864			ccv_nnc_micro_loop_statement_free(&statement);
865		else
866			ccv_nnc_micro_loop_statement_lvalue_free(&statement);
867		// No need to allocate for this var. It is not used, only useful for shape computation.
868		vars[i].no_alloc = 1;
869	}
870}
871 
872static int _ccv_nnc_index_binary_size(const ccv_nnc_micro_loop_index_term_t index)
873{
874	switch (index.type)
875	{
876		case CCV_NNC_MICRO_LOOP_INDEX_TYPE_NONE:
877			return 0;
878		case CCV_NNC_MICRO_LOOP_INDEX_TYPE_VAL:
879		case CCV_NNC_MICRO_LOOP_INDEX_TYPE_ID:
880			return 1;
881		case CCV_NNC_MICRO_LOOP_INDEX_TYPE_BINARY:
882			if (index.binary->op == CCV_NNC_MICRO_BINARY_OP_PLUS || index.binary->op == CCV_NNC_MICRO_BINARY_OP_MINUS)
883				return _ccv_nnc_index_binary_size(index.binary->left) + _ccv_nnc_index_binary_size(index.binary->right);
884			else
885				return 1;
886	}
887	return 0;
888}
889 
890typedef struct {
891	int sign:7;
892	int ignore:1;
893	ccv_nnc_micro_loop_index_term_t term;
894} ccv_nnc_micro_loop_binary_term_t;
895 
896static void _ccv_nnc_index_term_flatten(ccv_nnc_micro_loop_binary_term_t* const binary_terms, const ccv_nnc_micro_loop_index_term_t index, const int sign, int* const i)
897{
898	switch (index.type)
899	{
900		case CCV_NNC_MICRO_LOOP_INDEX_TYPE_NONE: // No need to occupy.
901			break;
902		case CCV_NNC_MICRO_LOOP_INDEX_TYPE_VAL:
903		case CCV_NNC_MICRO_LOOP_INDEX_TYPE_ID:
904			binary_terms[*i].term = index;
905			binary_terms[*i].sign = sign;
906			binary_terms[*i].ignore = 0;
907			++(*i);
908			break;
909		case CCV_NNC_MICRO_LOOP_INDEX_TYPE_BINARY:
910			if (index.binary->op == CCV_NNC_MICRO_BINARY_OP_PLUS || index.binary->op == CCV_NNC_MICRO_BINARY_OP_MINUS)
911			{
912				_ccv_nnc_index_term_flatten(binary_terms, index.binary->left, sign, i);
913				if (index.binary->op == CCV_NNC_MICRO_BINARY_OP_MINUS) // Switch sign.
914					_ccv_nnc_index_term_flatten(binary_terms, index.binary->right, sign == CCV_NNC_MICRO_BINARY_OP_PLUS ? CCV_NNC_MICRO_BINARY_OP_MINUS : CCV_NNC_MICRO_BINARY_OP_PLUS, i);
915				else
916					_ccv_nnc_index_term_flatten(binary_terms, index.binary->right, sign, i);
917			} else {
918				binary_terms[*i].term = index;
919				binary_terms[*i].sign = sign;
920				binary_terms[*i].ignore = 0;
921				++(*i);
922			}
923			break;
924	}
925}
926 
927// 0 is we don't understand, -1 is false, 1 is true.
928static int _ccv_nnc_index_less_than_or_equal_to(const ccv_nnc_micro_loop_index_term_t left, const ccv_nnc_micro_loop_index_term_t right, const ccv_nnc_micro_tensor_t* const vars, const int var_count, const int* const groups, khash_t(ccv_nnc_axis_id_group)kh_ccv_nnc_axis_id_group_t* const axis_id_groups)
929{
930	// Special case 1.
931	if (left.type == CCV_NNC_MICRO_LOOP_INDEX_TYPE_VAL && right.type == CCV_NNC_MICRO_LOOP_INDEX_TYPE_VAL)
932		return left.immediate_value <= right.immediate_value ? 1 : -1;
933	// Special case 2.
934	if (left.type == CCV_NNC_MICRO_LOOP_INDEX_TYPE_VAL && left.immediate_value == 0 && right.type == CCV_NNC_MICRO_LOOP_INDEX_TYPE_ID && right.id.type == CCV_NNC_MICRO_AXIS_SIZE_ID)
935		return 1;
936	// Special case 3.
937	if (left.type == CCV_NNC_MICRO_LOOP_INDEX_TYPE_ID && left.id.type == CCV_NNC_MICRO_AXIS_SIZE_ID && right.type == CCV_NNC_MICRO_LOOP_INDEX_TYPE_VAL && right.immediate_value == 0)
938		return -1;
939	// Now, we only have one variable in both left and right, need to flat the binary tree (if possible) and reduce it to constant if possible.
940	// We can only flatten if it is + / - at the moment.
941	const int left_binary_size = _ccv_nnc_index_binary_size(left);
942	assert(left_binary_size >= 1)((void) sizeof ((left_binary_size >= 1) ? 1 : 0), __extension__
 ({ if (left_binary_size >= 1) ; else __assert_fail ("left_binary_size >= 1"
, "ccv_nnc_micro_simplify.c", 942, __extension__ __PRETTY_FUNCTION__
); }));
943	const int right_binary_size = _ccv_nnc_index_binary_size(right);
944	assert(right_binary_size >= 1)((void) sizeof ((right_binary_size >= 1) ? 1 : 0), __extension__
 ({ if (right_binary_size >= 1) ; else __assert_fail ("right_binary_size >= 1"
, "ccv_nnc_micro_simplify.c", 944, __extension__ __PRETTY_FUNCTION__
); }));
945	ccv_nnc_micro_loop_binary_term_t* const left_binary_terms = (ccv_nnc_micro_loop_binary_term_t*)ccmallocmalloc(sizeof(ccv_nnc_micro_loop_binary_term_t) * (left_binary_size + right_binary_size));
946	ccv_nnc_micro_loop_binary_term_t* const right_binary_terms = left_binary_terms + left_binary_size;
947	int i, j;
948	i = 0;
949	_ccv_nnc_index_term_flatten(left_binary_terms, left, CCV_NNC_MICRO_BINARY_OP_PLUS, &i);
950	assert(i == left_binary_size)((void) sizeof ((i == left_binary_size) ? 1 : 0), __extension__
 ({ if (i == left_binary_size) ; else __assert_fail ("i == left_binary_size"
, "ccv_nnc_micro_simplify.c", 950, __extension__ __PRETTY_FUNCTION__
); }));
951	i = 0;
952	_ccv_nnc_index_term_flatten(right_binary_terms, right, CCV_NNC_MICRO_BINARY_OP_PLUS, &i);
953	assert(i == right_binary_size)((void) sizeof ((i == right_binary_size) ? 1 : 0), __extension__
 ({ if (i == right_binary_size) ; else __assert_fail ("i == right_binary_size"
, "ccv_nnc_micro_simplify.c", 953, __extension__ __PRETTY_FUNCTION__
); }));
954	// Matching signs in left terms.
955	for (i = 0; i < left_binary_size - 1; i++)
956		for (j = i + 1; j < left_binary_size; j++)
957			if (!left_binary_terms[i].ignore && !left_binary_terms[j].ignore &&
958				_ccv_nnc_same_index_term(left_binary_terms[i].term, left_binary_terms[j].term, groups, axis_id_groups) &&
959				left_binary_terms[i].sign != left_binary_terms[j].sign)
960			{
961				left_binary_terms[i].ignore = -1;
962				left_binary_terms[j].ignore = -1;
963			}
964	// Matching signs in right terms.
965	for (i = 0; i < right_binary_size - 1; i++)
966		for (j = i + 1; j < right_binary_size; j++)
967			if (!right_binary_terms[i].ignore && !right_binary_terms[j].ignore &&
968				_ccv_nnc_same_index_term(right_binary_terms[i].term, right_binary_terms[j].term, groups, axis_id_groups) &&
969				right_binary_terms[i].sign != right_binary_terms[j].sign)
970			{
971				right_binary_terms[i].ignore = -1;
972				right_binary_terms[j].ignore = -1;
973			}
974	// Matching left to right.
975	for (i = 0; i < left_binary_size; i++)
976		for (j = 0; j < right_binary_size; j++)
977			// If they are the same, we can ignore now.
978			if (!left_binary_terms[i].ignore && !right_binary_terms[j].ignore &&
979				_ccv_nnc_same_index_term(left_binary_terms[i].term, right_binary_terms[j].term, groups, axis_id_groups) &&
980				left_binary_terms[i].sign == right_binary_terms[j].sign)
981			{
982				left_binary_terms[i].ignore = -1;
983				right_binary_terms[j].ignore = -1;
984			}
985	// After reduced, we should only have immediate values left, otherwise we cannot progress.
986	int left_val = 0;
987	for (i = 0; i < left_binary_size; i++)
988		if (!left_binary_terms[i].ignore)
989		{
990			if (left_binary_terms[i].term.type != CCV_NNC_MICRO_LOOP_INDEX_TYPE_VAL)
991			{
992				ccfreefree(left_binary_terms);
993				return 0;
994			} else
995				left_val += left_binary_terms[i].sign == CCV_NNC_MICRO_BINARY_OP_PLUS ? left_binary_terms[i].term.immediate_value : -left_binary_terms[i].term.immediate_value;
996		}
997	int right_val = 0;
998	for (i = 0; i < right_binary_size; i++)
999		if (!right_binary_terms[i].ignore)
1000		{
1001			if (right_binary_terms[i].term.type != CCV_NNC_MICRO_LOOP_INDEX_TYPE_VAL)
1002			{
1003				ccfreefree(left_binary_terms);
1004				return 0;
1005			} else
1006				right_val += right_binary_terms[i].sign == CCV_NNC_MICRO_BINARY_OP_PLUS ? right_binary_terms[i].term.immediate_value : -right_binary_terms[i].term.immediate_value;
1007		}
1008	ccfreefree(left_binary_terms);
1009	return left_val <= right_val ? 1 : -1;
1010}
1011 
1012// If this index term refers to an axis size that actually has a expression, refer to that instead (like for reindex operation).
1013static ccv_nnc_micro_loop_index_term_t _ccv_nnc_micro_index_shape_merging(const ccv_nnc_micro_loop_index_term_t index, const ccv_nnc_micro_tensor_t* const vars, const int var_count, const int* const groups, khash_t(ccv_nnc_axis_id_group)kh_ccv_nnc_axis_id_group_t* const axis_id_groups)
1014{
1015	ccv_nnc_micro_loop_index_term_t result = index;
1016	for (;;)
1017	{
1018		if (!(result.type == CCV_NNC_MICRO_LOOP_INDEX_TYPE_ID && result.id.type == CCV_NNC_MICRO_AXIS_SIZE_ID))
1019			return result;
1020		int root = groups[result.id.id];
1021		while (groups[root] != root)
1022			root = groups[root];
1023		if (vars[root].shape == 0)
1024			return result;
1025		assert(result.id.d >= 0 && result.id.d < vars[root].dimensions)((void) sizeof ((result.id.d >= 0 && result.id.d <
 vars[root].dimensions) ? 1 : 0), __extension__ ({ if (result
.id.d >= 0 && result.id.d < vars[root].dimensions
) ; else __assert_fail ("result.id.d >= 0 && result.id.d < vars[root].dimensions"
, "ccv_nnc_micro_simplify.c", 1025, __extension__ __PRETTY_FUNCTION__
); }));
1026		result = vars[root].shape[result.id.d];
1027	}
1028}
1029 
1030static int _ccv_nnc_micro_low_high_bound_from_index(const ccv_nnc_micro_loop_index_term_t index, ccv_nnc_micro_loop_index_term_t* const low_ref, ccv_nnc_micro_loop_index_term_t* const high_ref, const ccv_nnc_micro_loop_t* const loops, const int loop_count, const ccv_nnc_micro_tensor_t* const vars, const int var_count, const int* const groups, khash_t(ccv_nnc_axis_id_group)kh_ccv_nnc_axis_id_group_t* const axis_id_groups)
1031{
1032	switch (index.type)
58
←
Control jumps to 'case CCV_NNC_MICRO_LOOP_INDEX_TYPE_BINARY:'  at line 1066→
60
←
Control jumps to 'case CCV_NNC_MICRO_LOOP_INDEX_TYPE_BINARY:'  at line 1066→
1033	{
1034		case CCV_NNC_MICRO_LOOP_INDEX_TYPE_NONE:
1035			*low_ref = (ccv_nnc_micro_loop_index_term_t){
1036				.type = CCV_NNC_MICRO_LOOP_INDEX_TYPE_VAL,
1037				.immediate_value = 0
1038			};
1039			*high_ref = (ccv_nnc_micro_loop_index_term_t){
1040				.type = CCV_NNC_MICRO_LOOP_INDEX_TYPE_VAL,
1041				.immediate_value = 0
1042			};
1043			return 1;
1044		case CCV_NNC_MICRO_LOOP_INDEX_TYPE_ID:
1045			if (index.id.type == CCV_NNC_MICRO_LOOP_ID)
1046			{
1047				int loop_idx = -1;
1048				int i;
1049				for (i = 0; loop_idx < 0 && i < loop_count; i++)
1050					if (loops[i].id.id == index.id.id)
1051						loop_idx = i;
1052				assert(loop_idx >= 0)((void) sizeof ((loop_idx >= 0) ? 1 : 0), __extension__ ({
 if (loop_idx >= 0) ; else __assert_fail ("loop_idx >= 0"
, "ccv_nnc_micro_simplify.c", 1052, __extension__ __PRETTY_FUNCTION__
); }));
1053				const ccv_nnc_micro_loop_index_term_t start_index = _ccv_nnc_micro_index_shape_merging(loops[loop_idx].start_index, vars, var_count, groups, axis_id_groups);
1054				const ccv_nnc_micro_loop_index_term_t end_index = _ccv_nnc_micro_index_shape_merging(loops[loop_idx].end_index, vars, var_count, groups, axis_id_groups);
1055				*low_ref = ccv_nnc_micro_loop_index_deep_copy(&start_index);
1056				*high_ref = ccv_nnc_micro_loop_index_deep_copy(&end_index);
1057			} else {
1058				*low_ref = index;
1059				*high_ref = index;
1060			}
1061			return 1;
1062		case CCV_NNC_MICRO_LOOP_INDEX_TYPE_VAL:
1063			*low_ref = index;
1064			*high_ref = index;
1065			return 1;
1066		case CCV_NNC_MICRO_LOOP_INDEX_TYPE_BINARY: {
1067			// Get low, high from both left and right, and then construct new low / high.
1068			ccv_nnc_micro_loop_index_term_t left_low, left_high;
1069			if (!_ccv_nnc_micro_low_high_bound_from_index(index.binary->left, &left_low, &left_high, loops, loop_count, vars, var_count, groups, axis_id_groups))
59
←
Calling '_ccv_nnc_micro_low_high_bound_from_index'→
61
←
Assuming the condition is false→
62
←
Taking false branch→
1070				return 0;
1071			ccv_nnc_micro_loop_index_term_t right_low, right_high;
1072			if (!_ccv_nnc_micro_low_high_bound_from_index(index.binary->right, &right_low, &right_high, loops, loop_count, vars, var_count, groups, axis_id_groups))
63
←
Assuming the condition is false→
1073			{
1074				ccv_nnc_micro_loop_index_free(&left_low);
1075				ccv_nnc_micro_loop_index_free(&left_high);
1076				return 0;
1077			}
1078			// If left is not a range, or right is not a range, it is simple, just copy over.
1079			if (_ccv_nnc_same_index_term(left_low, left_high, groups, axis_id_groups) || _ccv_nnc_same_index_term(right_low, right_high, groups, axis_id_groups))
64
←
Assuming the condition is false→
65
←
Assuming the condition is false→
1080			{
1081				*low_ref = (ccv_nnc_micro_loop_index_term_t){
1082					.type = CCV_NNC_MICRO_LOOP_INDEX_TYPE_BINARY,
1083					.binary = (ccv_nnc_micro_loop_index_binary_t*)ccmallocmalloc(sizeof(ccv_nnc_micro_loop_index_binary_t))
1084				};
1085				low_ref->binary->op = index.binary->op;
1086				low_ref->binary->left = left_low;
1087				low_ref->binary->right = right_low;
1088				*high_ref = (ccv_nnc_micro_loop_index_term_t){
1089					.type = CCV_NNC_MICRO_LOOP_INDEX_TYPE_BINARY,
1090					.binary = (ccv_nnc_micro_loop_index_binary_t*)ccmallocmalloc(sizeof(ccv_nnc_micro_loop_index_binary_t))
1091				};
1092				high_ref->binary->op = index.binary->op;
1093				high_ref->binary->left = left_high;
1094				high_ref->binary->right = right_high;
1095				return 1;
1096			}
1097			// Cannot handle -, because lower bound will go to negative, similar for /. Only can handle + and *.
1098			if (!(index.binary->op == CCV_NNC_MICRO_BINARY_OP_PLUS || index.binary->op == CCV_NNC_MICRO_BINARY_OP_MUL) ||
66
←
Assuming field 'op' is not equal to CCV_NNC_MICRO_BINARY_OP_PLUS→
67
←
Assuming field 'op' is equal to CCV_NNC_MICRO_BINARY_OP_MUL→
72
←
Taking false branch→
1099				// If lower bound is not a non-negative integer, we cannot compute interesting low / high bound, abort.
1100				(left_low.type != CCV_NNC_MICRO_LOOP_INDEX_TYPE_VAL || left_low.immediate_value < 0) ||
68
←
Assuming field 'type' is equal to CCV_NNC_MICRO_LOOP_INDEX_TYPE_VAL→
69
←
Assuming field 'immediate_value' is >= 0→
1101				(right_low.type != CCV_NNC_MICRO_LOOP_INDEX_TYPE_VAL || right_low.immediate_value < 0))
70
←
Assuming field 'type' is equal to CCV_NNC_MICRO_LOOP_INDEX_TYPE_VAL→
71
←
Assuming field 'immediate_value' is >= 0→
1102			{
1103				ccv_nnc_micro_loop_index_free(&left_low);
1104				ccv_nnc_micro_loop_index_free(&left_high);
1105				ccv_nnc_micro_loop_index_free(&right_low);
1106				ccv_nnc_micro_loop_index_free(&right_high);
1107				return 0;
1108			}
1109			*low_ref = (ccv_nnc_micro_loop_index_term_t){
1110				.type = CCV_NNC_MICRO_LOOP_INDEX_TYPE_VAL,
1111				.immediate_value = index.binary->op72.1
Field 'op' is not equal to CCV_NNC_MICRO_BINARY_OP_PLUS
 == CCV_NNC_MICRO_BINARY_OP_PLUS ? left_low.immediate_value + right_low.immediate_value : left_low.immediate_value * right_low.immediate_value,
73
←
'?' condition is false→
1112			};
1113			// higher bound is not inclusive, hence, we need to minus extra 1 for this.
1114			if (index.binary->op73.1
Field 'op' is not equal to CCV_NNC_MICRO_BINARY_OP_PLUS
 == CCV_NNC_MICRO_BINARY_OP_PLUS)
74
←
Taking false branch→
1115			{
1116				// (left - 1) + (right - 1) + 1
1117				ccv_nnc_micro_loop_index_term_t sum = {
1118					.type = CCV_NNC_MICRO_LOOP_INDEX_TYPE_BINARY,
1119					.binary = (ccv_nnc_micro_loop_index_binary_t*)ccmallocmalloc(sizeof(ccv_nnc_micro_loop_index_binary_t))
1120				};
1121				sum.binary->op = CCV_NNC_MICRO_BINARY_OP_PLUS;
1122				sum.binary->left = left_high;
1123				sum.binary->right = right_high;
1124				*high_ref = (ccv_nnc_micro_loop_index_term_t){
1125					.type = CCV_NNC_MICRO_LOOP_INDEX_TYPE_BINARY,
1126					.binary = (ccv_nnc_micro_loop_index_binary_t*)ccmallocmalloc(sizeof(ccv_nnc_micro_loop_index_binary_t))
1127				};
1128				high_ref->binary->op = CCV_NNC_MICRO_BINARY_OP_MINUS;
1129				high_ref->binary->left = sum;
1130				high_ref->binary->right = (ccv_nnc_micro_loop_index_term_t){
1131					.type = CCV_NNC_MICRO_LOOP_INDEX_TYPE_VAL,
1132					.immediate_value = 1
1133				};
1134			} else {
1135				// (left - 1) * (right - 1) + 1
1136				ccv_nnc_micro_loop_index_term_t prod = {
1137					.type = CCV_NNC_MICRO_LOOP_INDEX_TYPE_BINARY,
1138					.binary = (ccv_nnc_micro_loop_index_binary_t*)ccmallocmalloc(sizeof(ccv_nnc_micro_loop_index_binary_t))
75
←
Memory is allocated→
1139				};
1140				prod.binary->op = CCV_NNC_MICRO_BINARY_OP_MUL;
76
←
Potential memory leak
1141				prod.binary->left = left_high;
1142				prod.binary->right = right_high;
1143				ccv_nnc_micro_loop_index_term_t minus_left = {
1144					.type = CCV_NNC_MICRO_LOOP_INDEX_TYPE_BINARY,
1145					.binary = (ccv_nnc_micro_loop_index_binary_t*)ccmallocmalloc(sizeof(ccv_nnc_micro_loop_index_binary_t))
1146				};
1147				minus_left.binary->op = CCV_NNC_MICRO_BINARY_OP_MINUS;
1148				minus_left.binary->left = prod;
1149				minus_left.binary->right = left_high;
1150				ccv_nnc_micro_loop_index_term_t minus_right = {
1151					.type = CCV_NNC_MICRO_LOOP_INDEX_TYPE_BINARY,
1152					.binary = (ccv_nnc_micro_loop_index_binary_t*)ccmallocmalloc(sizeof(ccv_nnc_micro_loop_index_binary_t))
1153				};
1154				minus_right.binary->op = CCV_NNC_MICRO_BINARY_OP_MINUS;
1155				minus_right.binary->left = minus_left;
1156				minus_right.binary->right = right_high;
1157				*high_ref = (ccv_nnc_micro_loop_index_term_t){
1158					.type = CCV_NNC_MICRO_LOOP_INDEX_TYPE_BINARY,
1159					.binary = (ccv_nnc_micro_loop_index_binary_t*)ccmallocmalloc(sizeof(ccv_nnc_micro_loop_index_binary_t))
1160				};
1161				high_ref->binary->op = CCV_NNC_MICRO_BINARY_OP_PLUS;
1162				high_ref->binary->left = minus_right;
1163				high_ref->binary->right = (ccv_nnc_micro_loop_index_term_t){
1164					.type = CCV_NNC_MICRO_LOOP_INDEX_TYPE_VAL,
1165					.immediate_value = 2
1166				};
1167			}
1168			return 1;
1169		}
1170	}
1171	return 0;
1172}
1173 
1174static void _ccv_nnc_micro_check_bound_for_variable(ccv_nnc_micro_loop_variable_t* const variable, const ccv_nnc_micro_loop_t* const loops, const int loop_count, const ccv_nnc_micro_tensor_t* const vars, const int var_count, const int* const groups, khash_t(ccv_nnc_axis_id_group)kh_ccv_nnc_axis_id_group_t* const axis_id_groups)
1175{
1176	if (variable->id.type != CCV_NNC_MICRO_TENSOR_ID)
49
←
Assuming field 'type' is equal to CCV_NNC_MICRO_TENSOR_ID→
50
←
Taking false branch→
1177		return;
1178	int i, j;
1179	assert(variable->id.id >= 0 && variable->id.id < var_count)((void) sizeof ((variable->id.id >= 0 && variable
->id.id < var_count) ? 1 : 0), __extension__ ({ if (variable
->id.id >= 0 && variable->id.id < var_count
) ; else __assert_fail ("variable->id.id >= 0 && variable->id.id < var_count"
, "ccv_nnc_micro_simplify.c", 1179, __extension__ __PRETTY_FUNCTION__
); }));
51
←
Assuming field 'id' is >= 0→
52
←
Assuming 'var_count' is > field 'id'→
53
←
Taking true branch→
1180	ccv_nnc_micro_loop_index_term_t index_zero = {
1181		.type = CCV_NNC_MICRO_LOOP_INDEX_TYPE_VAL,
1182		.immediate_value = 0
1183	};
1184	for (i = 0; i < variable->index_count; i++)
54
←
Assuming 'i' is < field 'index_count'→
55
←
Loop condition is true.  Entering loop body→
1185	{
1186		const ccv_nnc_micro_loop_index_term_t shape = _ccv_nnc_micro_index_shape_merging((ccv_nnc_micro_loop_index_term_t){
1187			.type = CCV_NNC_MICRO_LOOP_INDEX_TYPE_ID,
1188			.id = {
1189				.type = CCV_NNC_MICRO_AXIS_SIZE_ID,
1190				.id = variable->id.id,
1191				.d = i
1192			}
1193		}, vars, var_count, groups, axis_id_groups);
1194		switch (variable->index[i].type)
56
←
Control jumps to 'case CCV_NNC_MICRO_LOOP_INDEX_TYPE_BINARY:'  at line 1215→
1195		{
1196			case CCV_NNC_MICRO_LOOP_INDEX_TYPE_ID:
1197				// For loop id, we can check the range to see if it is within the shape.
1198				if (variable->index[i].id.type == CCV_NNC_MICRO_LOOP_ID)
1199				{
1200					int loop_idx = -1;
1201					for (j = 0; loop_idx < 0 && j < loop_count; j++)
1202						if (loops[j].id.id == variable->index[i].id.id)
1203							loop_idx = j;
1204					assert(loop_idx >= 0)((void) sizeof ((loop_idx >= 0) ? 1 : 0), __extension__ ({
 if (loop_idx >= 0) ; else __assert_fail ("loop_idx >= 0"
, "ccv_nnc_micro_simplify.c", 1204, __extension__ __PRETTY_FUNCTION__
); }));
1205					const ccv_nnc_micro_loop_index_term_t start_index = _ccv_nnc_micro_index_shape_merging(loops[loop_idx].start_index, vars, var_count, groups, axis_id_groups);
1206					const ccv_nnc_micro_loop_index_term_t end_index = _ccv_nnc_micro_index_shape_merging(loops[loop_idx].end_index, vars, var_count, groups, axis_id_groups);
1207					if (_ccv_nnc_index_less_than_or_equal_to(index_zero, start_index, vars, var_count, groups, axis_id_groups) == 1 &&
1208						_ccv_nnc_index_less_than_or_equal_to(end_index, shape, vars, var_count, groups, axis_id_groups) == 1)
1209						variable->no_check_bound[i] = 1;
1210					else
1211						variable->no_check_bound[i] = 0;
1212				} else // If it is anything other than loop id, we have to check the bound.
1213					variable->no_check_bound[i] = 0;
1214				break;
1215			case CCV_NNC_MICRO_LOOP_INDEX_TYPE_BINARY: {
1216				// Compute higher / lower bounds along the expression.
1217				ccv_nnc_micro_loop_index_term_t low, high;
1218				// Cannot find high low, mark no_check_bound[i] = 0
1219				if (!_ccv_nnc_micro_low_high_bound_from_index(variable->index[i], &low, &high, loops, loop_count, vars, var_count, groups, axis_id_groups))
57
←
Calling '_ccv_nnc_micro_low_high_bound_from_index'→
1220				{
1221					variable->no_check_bound[i] = 0;
1222					break;
1223				}
1224				if (_ccv_nnc_index_less_than_or_equal_to(index_zero, low, vars, var_count, groups, axis_id_groups) == 1 &&
1225					_ccv_nnc_index_less_than_or_equal_to(high, shape, vars, var_count, groups, axis_id_groups) == 1)
1226					variable->no_check_bound[i] = 1;
1227				else
1228					variable->no_check_bound[i] = 0;
1229				ccv_nnc_micro_loop_index_free(&low);
1230				ccv_nnc_micro_loop_index_free(&high);
1231				break;
1232			}
1233			case CCV_NNC_MICRO_LOOP_INDEX_TYPE_VAL:
1234				// If the index is an integer, and it is bigger than 0, we need to check bound (there is no assertion the end index is larger than anything other than 0).
1235				if (variable->index[i].immediate_value == 0)
1236					variable->no_check_bound[i] = 1;
1237				else
1238					variable->no_check_bound[i] = 0;
1239				break;
1240		}
1241	}
1242}
1243 
1244static void _ccv_nnc_micro_check_bound_for_expression(ccv_nnc_micro_loop_expression_t* const expression, const ccv_nnc_micro_loop_t* const loops, const int loop_count, const ccv_nnc_micro_tensor_t* const vars, const int var_count, const int* const groups, khash_t(ccv_nnc_axis_id_group)kh_ccv_nnc_axis_id_group_t* const axis_id_groups)
1245{
1246	switch (expression->type)
1247	{
1248		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_VAR:
1249			_ccv_nnc_micro_check_bound_for_variable(&expression->variable, loops, loop_count, vars, var_count, groups, axis_id_groups);
1250			break;
1251		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_TERNAY:
1252			_ccv_nnc_micro_check_bound_for_expression(expression->ternary.pivot, loops, loop_count, vars, var_count, groups, axis_id_groups);
1253			_ccv_nnc_micro_check_bound_for_expression(expression->ternary.left, loops, loop_count, vars, var_count, groups, axis_id_groups);
1254			_ccv_nnc_micro_check_bound_for_expression(expression->ternary.right, loops, loop_count, vars, var_count, groups, axis_id_groups);
1255			break;
1256		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_BINARY:
1257			_ccv_nnc_micro_check_bound_for_expression(expression->binary.left, loops, loop_count, vars, var_count, groups, axis_id_groups);
1258			_ccv_nnc_micro_check_bound_for_expression(expression->binary.right, loops, loop_count, vars, var_count, groups, axis_id_groups);
1259			break;
1260		case CCV_NNC_MICRO_LOOP_EXPR_TYPE_UNARY:
1261			_ccv_nnc_micro_check_bound_for_expression(expression->unary.x, loops, loop_count, vars, var_count, groups, axis_id_groups);
1262			break;
1263	}
1264}
1265 
1266static void _ccv_nnc_micro_check_bound_for_block(ccv_nnc_micro_loop_block_t* const block, const ccv_nnc_micro_tensor_t* const vars, const int var_count, const int* const groups, khash_t(ccv_nnc_axis_id_group)kh_ccv_nnc_axis_id_group_t* const axis_id_groups)
1267{
1268	int i, j;
1269	for (i = 0; i < block->loop_count; i++)
43
←
Assuming 'i' is < field 'loop_count'→
44
←
Loop condition is true.  Entering loop body→
1270	{
1271		const int statement_count = block->loops[i].statement_count;
1272		ccv_nnc_micro_loop_statement_t* const statements = block->loops[i].statements;
1273		for (j = 0; j < statement_count; j++)
45
←
Assuming 'j' is < 'statement_count'→
46
←
Loop condition is true.  Entering loop body→
1274		{
1275			switch (statements[j].type)
47
←
Control jumps to 'case CCV_NNC_MICRO_LOOP_STATEMENT_TYPE_ASSIGNMENT:'  at line 1277→
1276			{
1277				case CCV_NNC_MICRO_LOOP_STATEMENT_TYPE_ASSIGNMENT:
1278					_ccv_nnc_micro_check_bound_for_variable(&statements[j].assignment.lvalue, block->loops, block->loop_count, vars, var_count, groups, axis_id_groups);
48
←
Calling '_ccv_nnc_micro_check_bound_for_variable'→
1279					_ccv_nnc_micro_check_bound_for_expression(&statements[j].assignment.rvalue, block->loops, block->loop_count, vars, var_count, groups, axis_id_groups);
1280					break;
1281				case CCV_NNC_MICRO_LOOP_STATEMENT_TYPE_COMPOUND_ASSIGNMENT:
1282					if (statements[j].compound_assignment.lvalue.type == CCV_NNC_MICRO_LOOP_EXPR_TYPE_VAR)
1283						_ccv_nnc_micro_check_bound_for_variable(&statements[j].compound_assignment.lvalue.variable, block->loops, block->loop_count, vars, var_count, groups, axis_id_groups);
1284					_ccv_nnc_micro_check_bound_for_expression(&statements[j].compound_assignment.rvalue, block->loops, block->loop_count, vars, var_count, groups, axis_id_groups);
1285					break;
1286			}
1287		}
1288	}
1289}
1290 
1291void ccv_nnc_micro_program_simplify(ccv_nnc_micro_program_t* const program, const ccv_nnc_micro_io_t* const inputs, const int input_size, const ccv_nnc_micro_io_t* const outputs, const int output_size, const ccv_array_t* const equal_assertions)
1292{
1293	// Nothing to simplify for.
1294	if (program->function_count < 1)
1
Assuming field 'function_count' is >= 1→
1295		return;
1296	// Only one block, nothing to simplify for.
1297	if (program->function_count == 1 && program->functions[0].block_count == 1)
2
←
Assuming field 'function_count' is not equal to 1→
1298		return;
1299	if (input_size == 0 || output_size == 0)
3
←
Assuming 'input_size' is not equal to 0→
4
←
Assuming 'output_size' is not equal to 0→
5
←
Taking false branch→
1300		return;
1301	// Union-find to group all variables with the same shape.
1302	ccv_nnc_micro_tensor_t* const vars = program->vars;
1303	const int var_count = program->var_count;
1304	int* const groups = (int*)ccmallocmalloc(sizeof(int) * var_count);
1305	int i, j;
1306	for (i = 0; i < var_count; i++)
6
←
Assuming 'i' is >= 'var_count'→
7
←
Loop condition is false. Execution continues on line 1309→
1307		groups[i] = i;
1308	// If no shape, they should match these input.
1309	for (i = 0; i7.1
'i' is >= 'var_count'
 < var_count; i++)
8
←
Loop condition is false. Execution continues on line 1317→
1310		if (vars[i].input >= 0 && !vars[i].shape)
1311		{
1312			int root = vars[i].input;
1313			while (groups[root] != root)
1314				root = groups[root];
1315			groups[i] = root;
1316		}
1317	for (i = 0; i8.1
'i' is >= 'var_count'
 < var_count; i++)
9
←
Loop condition is false. Execution continues on line 1329→
1318	{
1319		// If this is input (no other tensor as the input), we skip.
1320		if (vars[i].input < 0)
1321			continue;
1322		int root = i;
1323		while (groups[root] != root)
1324			root = groups[root];
1325		// If the sibling exists and we haven't visited yet, mark them has the same group as us.
1326		if (vars[i].sibling >= 0 && vars[i].sibling < i && groups[vars[i].sibling] < 0)
1327			groups[vars[i].sibling] = root;
1328	}
1329	for (i = var_count - 1; i > 0; i--)
10
←
Assuming 'i' is <= 0→
11
←
Loop condition is false. Execution continues on line 1343→
1330	{
1331		// Now matching the shape.
1332		if (vars[i].input < 0 || !vars[i].shape)
1333			continue;
1334		int root = i;
1335		while (groups[root] != root)
1336			root = groups[root];
1337		for (j = i - 1; j >= 0; j--)
1338			if (vars[j].shape && vars[j].dimensions == vars[i].dimensions &&
1339				_ccv_nnc_same_shape(vars[j].shape, vars[i].shape, vars[i].dimensions))
1340				groups[j] = root;
1341	}
1342	// Group equal assertions on axis together.
1343	khash_t(ccv_nnc_axis_id_group)kh_ccv_nnc_axis_id_group_t* const axis_id_groups = kh_init(ccv_nnc_axis_id_group)kh_init_ccv_nnc_axis_id_group();
1344	for (i = 0; i < equal_assertions->rnum; i++)
12
←
Assuming 'i' is >= field 'rnum'→
13
←
Loop condition is false. Execution continues on line 1377→
1345	{
1346		const ccv_nnc_micro_id_equal_assertion_t* const equal_assertion = (ccv_nnc_micro_id_equal_assertion_t*)ccv_array_get(equal_assertions, i)((void*)(((char*)((equal_assertions)->data)) + (size_t)(equal_assertions
)->rsize * (size_t)(i)));
1347		ccv_nnc_micro_id_t left = equal_assertion->left;
1348		while (groups[left.id] != left.id)
1349			left.id = groups[left.id];
1350		int left_root = MICRO_ID_TO_INT(left)(((left).id << 8) | ((left).d));
1351		khiter_t k;
1352		for (;;) {
1353			k = kh_get(ccv_nnc_axis_id_group, axis_id_groups, left_root)kh_get_ccv_nnc_axis_id_group(axis_id_groups, left_root);
1354			if (k == kh_end(axis_id_groups)((axis_id_groups)->n_buckets))
1355				break;
1356			left_root = kh_val(axis_id_groups, k)((axis_id_groups)->vals[k]);
1357		}
1358		ccv_nnc_micro_id_t right = equal_assertion->right;
1359		while (groups[right.id] != right.id)
1360			left.id = groups[right.id];
1361		int right_root = MICRO_ID_TO_INT(equal_assertion->right)(((equal_assertion->right).id << 8) | ((equal_assertion
->right).d));
1362		for (;;) {
1363			k = kh_get(ccv_nnc_axis_id_group, axis_id_groups, right_root)kh_get_ccv_nnc_axis_id_group(axis_id_groups, right_root);
1364			if (k == kh_end(axis_id_groups)((axis_id_groups)->n_buckets))
1365				break;
1366			right_root = kh_val(axis_id_groups, k)((axis_id_groups)->vals[k]);
1367		}
1368		if (left_root != right_root) // k is the right root at the moment.
1369		{
1370			int ret;
1371			k = kh_put(ccv_nnc_axis_id_group, axis_id_groups, right_root, &ret)kh_put_ccv_nnc_axis_id_group(axis_id_groups, right_root, &
ret);
1372			assert(ret != 0)((void) sizeof ((ret != 0) ? 1 : 0), __extension__ ({ if (ret
 != 0) ; else __assert_fail ("ret != 0", "ccv_nnc_micro_simplify.c"
, 1372, __extension__ __PRETTY_FUNCTION__); }));
1373			kh_val(axis_id_groups, k)((axis_id_groups)->vals[k]) = left_root;
1374		}
1375	}
1376	// First, flat out all functions into blocks.
1377	ccv_array_t* const blocks = ccv_array_new(sizeof(ccv_nnc_micro_loop_block_t), 0, 0);
1378	ccv_nnc_micro_function_t* const functions = program->functions;
1379	const int function_count = program->function_count;
1380	int max_loop_count = 0;
1381	for (i = 0; i13.1
'i' is < 'function_count'
18.1
'i' is < 'function_count'
 < function_count; i++)
14
←
Loop condition is true.  Entering loop body→
19
←
Loop condition is true.  Entering loop body→
24
←
Assuming 'i' is >= 'function_count'→
25
←
Loop condition is false. Execution continues on line 1393→
1382	{
1383		const int block_count = functions[i].block_count;
1384		ccv_nnc_micro_loop_block_t* const function_blocks = block_count == 1 ? &functions[i].one_block : functions[i].blocks;
15
←
Assuming 'block_count' is not equal to 1→
16
←
'?' condition is false→
20
←
Assuming 'block_count' is not equal to 1→
21
←
'?' condition is false→
1385		for (j = 0; j < block_count; j++)
17
←
Assuming 'j' is >= 'block_count'→
18
←
Loop condition is false. Execution continues on line 1381→
22
←
Assuming 'j' is >= 'block_count'→
23
←
Loop condition is false. Execution continues on line 1381→
1386		{
1387			max_loop_count = ccv_max(function_blocks[j].loop_count, max_loop_count)({ typeof (function_blocks[j].loop_count) _a = (function_blocks
[j].loop_count); typeof (max_loop_count) _b = (max_loop_count
); (_a > _b) ? _a : _b; });
1388			ccv_array_push(blocks, &function_blocks[j]);
1389		}
1390	}
1391	// Next, find dependencies between these function blocks and marking these that are dependencies for the final outputs.
1392	// We need to build our connections between blocks <-> r/w vars.
1393	ccv_nnc_micro_loop_block_dependency_t* block_dependencies;
1394	ccv_nnc_micro_tensor_dependency_t* tensor_dependencies;
1395	const int block_size = blocks->rnum;
1396	_ccv_nnc_micro_block_dependencies((ccv_nnc_micro_loop_block_t*)ccv_array_get(blocks, 0)((void*)(((char*)((blocks)->data)) + (size_t)(blocks)->
rsize * (size_t)(0))), block_size, var_count, &block_dependencies, &tensor_dependencies);
1397	ccv_array_t* const in_use = ccv_array_new(sizeof(int), output_size, 0);
1398	// Use the dependencies to mark blocks / vars that are in use.
1399	for (i = 0; i < output_size; i++)
26
←
Assuming 'i' is >= 'output_size'→
27
←
Loop condition is false. Execution continues on line 1404→
1400	{
1401		tensor_dependencies[outputs[i]->id].flag = 1; // Mark them as in use.
1402		ccv_array_push(in_use, &outputs[i]->id);
1403	}
1404	for (i = 0; i < input_size; i++)
28
←
Assuming 'i' is < 'input_size'→
29
←
Loop condition is true.  Entering loop body→
30
←
Assuming 'i' is >= 'input_size'→
31
←
Loop condition is false. Execution continues on line 1406→
1405		tensor_dependencies[inputs[i]->id].flag = 1; // Mark inputs as in use so we don't go pass them.
1406	for (i = 0; i < in_use->rnum; i++)
32
←
Assuming 'i' is >= field 'rnum'→
33
←
Loop condition is false. Execution continues on line 1427→
1407	{
1408		const int tensor_idx = *(int*)ccv_array_get(in_use, i)((void*)(((char*)((in_use)->data)) + (size_t)(in_use)->
rsize * (size_t)(i)));
1409		if (tensor_dependencies[tensor_idx].writes)
1410			for (j = 0; j < tensor_dependencies[tensor_idx].writes->rnum; j++)
1411			{
1412				const int block_idx = *(int*)ccv_array_get(tensor_dependencies[tensor_idx].writes, j)((void*)(((char*)((tensor_dependencies[tensor_idx].writes)->
data)) + (size_t)(tensor_dependencies[tensor_idx].writes)->
rsize * (size_t)(j)));
1413				block_dependencies[block_idx].flag = 1;
1414				int k;
1415				if (block_dependencies[block_idx].reads)
1416					for (k = 0; k < block_dependencies[block_idx].reads->rnum; k++)
1417					{
1418						const int read_idx = *(int*)ccv_array_get(block_dependencies[block_idx].reads, k)((void*)(((char*)((block_dependencies[block_idx].reads)->data
)) + (size_t)(block_dependencies[block_idx].reads)->rsize *
 (size_t)(k)));
1419						if (!tensor_dependencies[read_idx].flag)
1420						{
1421							tensor_dependencies[read_idx].flag = 1;
1422							ccv_array_push(in_use, &read_idx);
1423						}
1424					}
1425			}
1426	}
1427	ccv_array_free(in_use);
1428	for (i = 0; i < block_size; i++)
34
←
Loop condition is true.  Entering loop body→
36
←
Loop condition is false. Execution continues on line 1437→
1429		if (!block_dependencies[i].flag34.1
Field 'flag' is 0
)
35
←
Taking true branch→
1430		{
1431			ccv_nnc_micro_loop_block_t* const block = (ccv_nnc_micro_loop_block_t*)ccv_array_get(blocks, i)((void*)(((char*)((blocks)->data)) + (size_t)(blocks)->
rsize * (size_t)(i)));
1432			ccv_nnc_micro_loops_free(block->loops, block->loop_count);
1433			ccfreefree(block->loops);
1434			block->loops = 0;
1435			block->loop_count = 0;
1436		}
1437	for (i = 0; i36.1
'i' is >= 'var_count'
 < var_count; i++)
37
←
Loop condition is false. Execution continues on line 1443→
1438		if (!tensor_dependencies[i].flag) // If this tensor is not visited, there is no need to alloc.
1439		{
1440			_ccv_nnc_tensor_remove_dead_store(&tensor_dependencies[i], i, blocks);
1441			vars[i].no_alloc = 1;
1442		}
1443	_ccv_nnc_loop_merging(block_dependencies, tensor_dependencies, blocks, max_loop_count, groups, axis_id_groups);
1444	_ccv_nnc_micro_dependencies_free(block_dependencies, block_size, tensor_dependencies, var_count);
1445	// Culling out empty blocks.
1446	for (i = 0, j = 0; i < blocks->rnum; i++)
38
←
Assuming 'i' is >= field 'rnum'→
39
←
Loop condition is false. Execution continues on line 1456→
1447	{
1448		const ccv_nnc_micro_loop_block_t* const block = (ccv_nnc_micro_loop_block_t*)ccv_array_get(blocks, i)((void*)(((char*)((blocks)->data)) + (size_t)(blocks)->
rsize * (size_t)(i)));
1449		if (block->loop_count > 0)
1450		{
1451			*(ccv_nnc_micro_loop_block_t*)ccv_array_get(blocks, j)((void*)(((char*)((blocks)->data)) + (size_t)(blocks)->
rsize * (size_t)(j))) = *block;
1452			++j;
1453		}
1454	}
1455	// Now we moved everything, set the proper block size.
1456	ccv_array_resize(blocks, j);
1457	// Substitute variables.
1458	_ccv_nnc_var_subst(vars, var_count, inputs, input_size, outputs, output_size, blocks, groups, axis_id_groups);
1459	// Mark whether we need to check bound for a particular variable or not.
1460	for (i = 0; i < blocks->rnum; i++)
40
←
Assuming 'i' is < field 'rnum'→
41
←
Loop condition is true.  Entering loop body→
1461	{
1462		ccv_nnc_micro_loop_block_t* const block = (ccv_nnc_micro_loop_block_t*)ccv_array_get(blocks, i)((void*)(((char*)((blocks)->data)) + (size_t)(blocks)->
rsize * (size_t)(i)));
1463		_ccv_nnc_micro_check_bound_for_block(block, vars, var_count, groups, axis_id_groups);
42
←
Calling '_ccv_nnc_micro_check_bound_for_block'→
1464	}
1465	free(groups);
1466	kh_destroy(ccv_nnc_axis_id_group, axis_id_groups)kh_destroy_ccv_nnc_axis_id_group(axis_id_groups);
1467	// Reallocate function to be 1.
1468	for (i = 0; i < function_count; i++)
1469		if (functions[i].block_count > 1)
1470			ccfreefree(functions[i].blocks);
1471	program->functions = (ccv_nnc_micro_function_t*)ccreallocrealloc(program->functions, sizeof(ccv_nnc_micro_function_t));
1472	program->functions[0].block_count = blocks->rnum;
1473	if (blocks->rnum > 1)
1474	{
1475		program->functions[0].blocks = (ccv_nnc_micro_loop_block_t*)ccmallocmalloc(sizeof(ccv_nnc_micro_loop_block_t) * blocks->rnum);
1476		memcpy(program->functions[0].blocks, ccv_array_get(blocks, 0)((void*)(((char*)((blocks)->data)) + (size_t)(blocks)->
rsize * (size_t)(0))), sizeof(ccv_nnc_micro_loop_block_t) * blocks->rnum);
1477	} else
1478		program->functions[0].one_block = *(ccv_nnc_micro_loop_block_t*)ccv_array_get(blocks, 0)((void*)(((char*)((blocks)->data)) + (size_t)(blocks)->
rsize * (size_t)(0)));
1479	program->function_count = 1;
1480	ccv_array_free(blocks);
1481}