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-rw-r--r--third_party/aom/tools/txfm_analyzer/txfm_gen_code.cc580
-rw-r--r--third_party/aom/tools/txfm_analyzer/txfm_graph.cc943
-rw-r--r--third_party/aom/tools/txfm_analyzer/txfm_graph.h161
3 files changed, 1684 insertions, 0 deletions
diff --git a/third_party/aom/tools/txfm_analyzer/txfm_gen_code.cc b/third_party/aom/tools/txfm_analyzer/txfm_gen_code.cc
new file mode 100644
index 0000000000..7c5400b91a
--- /dev/null
+++ b/third_party/aom/tools/txfm_analyzer/txfm_gen_code.cc
@@ -0,0 +1,580 @@
+/*
+ * Copyright (c) 2018, Alliance for Open Media. All rights reserved
+ *
+ * This source code is subject to the terms of the BSD 2 Clause License and
+ * the Alliance for Open Media Patent License 1.0. If the BSD 2 Clause License
+ * was not distributed with this source code in the LICENSE file, you can
+ * obtain it at www.aomedia.org/license/software. If the Alliance for Open
+ * Media Patent License 1.0 was not distributed with this source code in the
+ * PATENTS file, you can obtain it at www.aomedia.org/license/patent.
+ */
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <math.h>
+#include <float.h>
+#include <string.h>
+
+#include "tools/txfm_analyzer/txfm_graph.h"
+
+typedef enum CODE_TYPE {
+ CODE_TYPE_C,
+ CODE_TYPE_SSE2,
+ CODE_TYPE_SSE4_1
+} CODE_TYPE;
+
+int get_cos_idx(double value, int mod) {
+ return round(acos(fabs(value)) / PI * mod);
+}
+
+char *cos_text_arr(double value, int mod, char *text, int size) {
+ int num = get_cos_idx(value, mod);
+ if (value < 0) {
+ snprintf(text, size, "-cospi[%2d]", num);
+ } else {
+ snprintf(text, size, " cospi[%2d]", num);
+ }
+
+ if (num == 0)
+ printf("v: %f -> %d/%d v==-1 is %d\n", value, num, mod, value == -1);
+
+ return text;
+}
+
+char *cos_text_sse2(double w0, double w1, int mod, char *text, int size) {
+ int idx0 = get_cos_idx(w0, mod);
+ int idx1 = get_cos_idx(w1, mod);
+ char p[] = "p";
+ char n[] = "m";
+ char *sgn0 = w0 < 0 ? n : p;
+ char *sgn1 = w1 < 0 ? n : p;
+ snprintf(text, size, "cospi_%s%02d_%s%02d", sgn0, idx0, sgn1, idx1);
+ return text;
+}
+
+char *cos_text_sse4_1(double w, int mod, char *text, int size) {
+ int idx = get_cos_idx(w, mod);
+ char p[] = "p";
+ char n[] = "m";
+ char *sgn = w < 0 ? n : p;
+ snprintf(text, size, "cospi_%s%02d", sgn, idx);
+ return text;
+}
+
+void node_to_code_c(Node *node, const char *buf0, const char *buf1) {
+ int cnt = 0;
+ for (int i = 0; i < 2; i++) {
+ if (fabs(node->inWeight[i]) == 1 || fabs(node->inWeight[i]) == 0) cnt++;
+ }
+ if (cnt == 2) {
+ int cnt2 = 0;
+ printf(" %s[%d] =", buf1, node->nodeIdx);
+ for (int i = 0; i < 2; i++) {
+ if (fabs(node->inWeight[i]) == 1) {
+ cnt2++;
+ }
+ }
+ if (cnt2 == 2) {
+ printf(" apply_value(");
+ }
+ int cnt1 = 0;
+ for (int i = 0; i < 2; i++) {
+ if (node->inWeight[i] == 1) {
+ if (cnt1 > 0)
+ printf(" + %s[%d]", buf0, node->inNodeIdx[i]);
+ else
+ printf(" %s[%d]", buf0, node->inNodeIdx[i]);
+ cnt1++;
+ } else if (node->inWeight[i] == -1) {
+ if (cnt1 > 0)
+ printf(" - %s[%d]", buf0, node->inNodeIdx[i]);
+ else
+ printf("-%s[%d]", buf0, node->inNodeIdx[i]);
+ cnt1++;
+ }
+ }
+ if (cnt2 == 2) {
+ printf(", stage_range[stage])");
+ }
+ printf(";\n");
+ } else {
+ char w0[100];
+ char w1[100];
+ printf(
+ " %s[%d] = half_btf(%s, %s[%d], %s, %s[%d], "
+ "cos_bit);\n",
+ buf1, node->nodeIdx, cos_text_arr(node->inWeight[0], COS_MOD, w0, 100),
+ buf0, node->inNodeIdx[0],
+ cos_text_arr(node->inWeight[1], COS_MOD, w1, 100), buf0,
+ node->inNodeIdx[1]);
+ }
+}
+
+void gen_code_c(Node *node, int stage_num, int node_num, TYPE_TXFM type) {
+ char *fun_name = new char[100];
+ get_fun_name(fun_name, 100, type, node_num);
+
+ printf("\n");
+ printf(
+ "void av1_%s(const int32_t *input, int32_t *output, int8_t cos_bit, "
+ "const int8_t* stage_range) "
+ "{\n",
+ fun_name);
+ printf(" assert(output != input);\n");
+ printf(" const int32_t size = %d;\n", node_num);
+ printf(" const int32_t *cospi = cospi_arr(cos_bit);\n");
+ printf("\n");
+
+ printf(" int32_t stage = 0;\n");
+ printf(" int32_t *bf0, *bf1;\n");
+ printf(" int32_t step[%d];\n", node_num);
+
+ const char *buf0 = "bf0";
+ const char *buf1 = "bf1";
+ const char *input = "input";
+
+ int si = 0;
+ printf("\n");
+ printf(" // stage %d;\n", si);
+ printf(" apply_range(stage, input, %s, size, stage_range[stage]);\n", input);
+
+ si = 1;
+ printf("\n");
+ printf(" // stage %d;\n", si);
+ printf(" stage++;\n");
+ if (si % 2 == (stage_num - 1) % 2) {
+ printf(" %s = output;\n", buf1);
+ } else {
+ printf(" %s = step;\n", buf1);
+ }
+
+ for (int ni = 0; ni < node_num; ni++) {
+ int idx = get_idx(si, ni, node_num);
+ node_to_code_c(node + idx, input, buf1);
+ }
+
+ printf(" range_check_buf(stage, input, bf1, size, stage_range[stage]);\n");
+
+ for (int si = 2; si < stage_num; si++) {
+ printf("\n");
+ printf(" // stage %d\n", si);
+ printf(" stage++;\n");
+ if (si % 2 == (stage_num - 1) % 2) {
+ printf(" %s = step;\n", buf0);
+ printf(" %s = output;\n", buf1);
+ } else {
+ printf(" %s = output;\n", buf0);
+ printf(" %s = step;\n", buf1);
+ }
+
+ // computation code
+ for (int ni = 0; ni < node_num; ni++) {
+ int idx = get_idx(si, ni, node_num);
+ node_to_code_c(node + idx, buf0, buf1);
+ }
+
+ if (si != stage_num - 1) {
+ printf(
+ " range_check_buf(stage, input, bf1, size, stage_range[stage]);\n");
+ }
+ }
+ printf(" apply_range(stage, input, output, size, stage_range[stage]);\n");
+ printf("}\n");
+}
+
+void single_node_to_code_sse2(Node *node, const char *buf0, const char *buf1) {
+ printf(" %s[%2d] =", buf1, node->nodeIdx);
+ if (node->inWeight[0] == 1 && node->inWeight[1] == 1) {
+ printf(" _mm_adds_epi16(%s[%d], %s[%d])", buf0, node->inNodeIdx[0], buf0,
+ node->inNodeIdx[1]);
+ } else if (node->inWeight[0] == 1 && node->inWeight[1] == -1) {
+ printf(" _mm_subs_epi16(%s[%d], %s[%d])", buf0, node->inNodeIdx[0], buf0,
+ node->inNodeIdx[1]);
+ } else if (node->inWeight[0] == -1 && node->inWeight[1] == 1) {
+ printf(" _mm_subs_epi16(%s[%d], %s[%d])", buf0, node->inNodeIdx[1], buf0,
+ node->inNodeIdx[0]);
+ } else if (node->inWeight[0] == 1 && node->inWeight[1] == 0) {
+ printf(" %s[%d]", buf0, node->inNodeIdx[0]);
+ } else if (node->inWeight[0] == 0 && node->inWeight[1] == 1) {
+ printf(" %s[%d]", buf0, node->inNodeIdx[1]);
+ } else if (node->inWeight[0] == -1 && node->inWeight[1] == 0) {
+ printf(" _mm_subs_epi16(__zero, %s[%d])", buf0, node->inNodeIdx[0]);
+ } else if (node->inWeight[0] == 0 && node->inWeight[1] == -1) {
+ printf(" _mm_subs_epi16(__zero, %s[%d])", buf0, node->inNodeIdx[1]);
+ }
+ printf(";\n");
+}
+
+void pair_node_to_code_sse2(Node *node, Node *partnerNode, const char *buf0,
+ const char *buf1) {
+ char temp0[100];
+ char temp1[100];
+ // btf_16_sse2_type0(w0, w1, in0, in1, out0, out1)
+ if (node->inNodeIdx[0] != partnerNode->inNodeIdx[0])
+ printf(" btf_16_sse2(%s, %s, %s[%d], %s[%d], %s[%d], %s[%d]);\n",
+ cos_text_sse2(node->inWeight[0], node->inWeight[1], COS_MOD, temp0,
+ 100),
+ cos_text_sse2(partnerNode->inWeight[1], partnerNode->inWeight[0],
+ COS_MOD, temp1, 100),
+ buf0, node->inNodeIdx[0], buf0, node->inNodeIdx[1], buf1,
+ node->nodeIdx, buf1, partnerNode->nodeIdx);
+ else
+ printf(" btf_16_sse2(%s, %s, %s[%d], %s[%d], %s[%d], %s[%d]);\n",
+ cos_text_sse2(node->inWeight[0], node->inWeight[1], COS_MOD, temp0,
+ 100),
+ cos_text_sse2(partnerNode->inWeight[0], partnerNode->inWeight[1],
+ COS_MOD, temp1, 100),
+ buf0, node->inNodeIdx[0], buf0, node->inNodeIdx[1], buf1,
+ node->nodeIdx, buf1, partnerNode->nodeIdx);
+}
+
+Node *get_partner_node(Node *node) {
+ int diff = node->inNode[1]->nodeIdx - node->nodeIdx;
+ return node + diff;
+}
+
+void node_to_code_sse2(Node *node, const char *buf0, const char *buf1) {
+ int cnt = 0;
+ int cnt1 = 0;
+ if (node->visited == 0) {
+ node->visited = 1;
+ for (int i = 0; i < 2; i++) {
+ if (fabs(node->inWeight[i]) == 1 || fabs(node->inWeight[i]) == 0) cnt++;
+ if (fabs(node->inWeight[i]) == 1) cnt1++;
+ }
+ if (cnt == 2) {
+ if (cnt1 == 2) {
+ // has a partner
+ Node *partnerNode = get_partner_node(node);
+ partnerNode->visited = 1;
+ single_node_to_code_sse2(node, buf0, buf1);
+ single_node_to_code_sse2(partnerNode, buf0, buf1);
+ } else {
+ single_node_to_code_sse2(node, buf0, buf1);
+ }
+ } else {
+ Node *partnerNode = get_partner_node(node);
+ partnerNode->visited = 1;
+ pair_node_to_code_sse2(node, partnerNode, buf0, buf1);
+ }
+ }
+}
+
+void gen_cospi_list_sse2(Node *node, int stage_num, int node_num) {
+ int visited[65][65][2][2];
+ memset(visited, 0, sizeof(visited));
+ char text[100];
+ char text1[100];
+ char text2[100];
+ int size = 100;
+ printf("\n");
+ for (int si = 1; si < stage_num; si++) {
+ for (int ni = 0; ni < node_num; ni++) {
+ int idx = get_idx(si, ni, node_num);
+ int cnt = 0;
+ Node *node0 = node + idx;
+ if (node0->visited == 0) {
+ node0->visited = 1;
+ for (int i = 0; i < 2; i++) {
+ if (fabs(node0->inWeight[i]) == 1 || fabs(node0->inWeight[i]) == 0)
+ cnt++;
+ }
+ if (cnt != 2) {
+ {
+ double w0 = node0->inWeight[0];
+ double w1 = node0->inWeight[1];
+ int idx0 = get_cos_idx(w0, COS_MOD);
+ int idx1 = get_cos_idx(w1, COS_MOD);
+ int sgn0 = w0 < 0 ? 1 : 0;
+ int sgn1 = w1 < 0 ? 1 : 0;
+
+ if (!visited[idx0][idx1][sgn0][sgn1]) {
+ visited[idx0][idx1][sgn0][sgn1] = 1;
+ printf(" __m128i %s = pair_set_epi16(%s, %s);\n",
+ cos_text_sse2(w0, w1, COS_MOD, text, size),
+ cos_text_arr(w0, COS_MOD, text1, size),
+ cos_text_arr(w1, COS_MOD, text2, size));
+ }
+ }
+ Node *node1 = get_partner_node(node0);
+ node1->visited = 1;
+ if (node1->inNode[0]->nodeIdx != node0->inNode[0]->nodeIdx) {
+ double w0 = node1->inWeight[0];
+ double w1 = node1->inWeight[1];
+ int idx0 = get_cos_idx(w0, COS_MOD);
+ int idx1 = get_cos_idx(w1, COS_MOD);
+ int sgn0 = w0 < 0 ? 1 : 0;
+ int sgn1 = w1 < 0 ? 1 : 0;
+
+ if (!visited[idx1][idx0][sgn1][sgn0]) {
+ visited[idx1][idx0][sgn1][sgn0] = 1;
+ printf(" __m128i %s = pair_set_epi16(%s, %s);\n",
+ cos_text_sse2(w1, w0, COS_MOD, text, size),
+ cos_text_arr(w1, COS_MOD, text1, size),
+ cos_text_arr(w0, COS_MOD, text2, size));
+ }
+ } else {
+ double w0 = node1->inWeight[0];
+ double w1 = node1->inWeight[1];
+ int idx0 = get_cos_idx(w0, COS_MOD);
+ int idx1 = get_cos_idx(w1, COS_MOD);
+ int sgn0 = w0 < 0 ? 1 : 0;
+ int sgn1 = w1 < 0 ? 1 : 0;
+
+ if (!visited[idx0][idx1][sgn0][sgn1]) {
+ visited[idx0][idx1][sgn0][sgn1] = 1;
+ printf(" __m128i %s = pair_set_epi16(%s, %s);\n",
+ cos_text_sse2(w0, w1, COS_MOD, text, size),
+ cos_text_arr(w0, COS_MOD, text1, size),
+ cos_text_arr(w1, COS_MOD, text2, size));
+ }
+ }
+ }
+ }
+ }
+ }
+}
+
+void gen_code_sse2(Node *node, int stage_num, int node_num, TYPE_TXFM type) {
+ char *fun_name = new char[100];
+ get_fun_name(fun_name, 100, type, node_num);
+
+ printf("\n");
+ printf(
+ "void %s_sse2(const __m128i *input, __m128i *output, int8_t cos_bit) "
+ "{\n",
+ fun_name);
+
+ printf(" const int32_t* cospi = cospi_arr(cos_bit);\n");
+ printf(" const __m128i __zero = _mm_setzero_si128();\n");
+ printf(" const __m128i __rounding = _mm_set1_epi32(1 << (cos_bit - 1));\n");
+
+ graph_reset_visited(node, stage_num, node_num);
+ gen_cospi_list_sse2(node, stage_num, node_num);
+ graph_reset_visited(node, stage_num, node_num);
+ for (int si = 1; si < stage_num; si++) {
+ char in[100];
+ char out[100];
+ printf("\n");
+ printf(" // stage %d\n", si);
+ if (si == 1)
+ snprintf(in, 100, "%s", "input");
+ else
+ snprintf(in, 100, "x%d", si - 1);
+ if (si == stage_num - 1) {
+ snprintf(out, 100, "%s", "output");
+ } else {
+ snprintf(out, 100, "x%d", si);
+ printf(" __m128i %s[%d];\n", out, node_num);
+ }
+ // computation code
+ for (int ni = 0; ni < node_num; ni++) {
+ int idx = get_idx(si, ni, node_num);
+ node_to_code_sse2(node + idx, in, out);
+ }
+ }
+
+ printf("}\n");
+}
+void gen_cospi_list_sse4_1(Node *node, int stage_num, int node_num) {
+ int visited[65][2];
+ memset(visited, 0, sizeof(visited));
+ char text[100];
+ char text1[100];
+ int size = 100;
+ printf("\n");
+ for (int si = 1; si < stage_num; si++) {
+ for (int ni = 0; ni < node_num; ni++) {
+ int idx = get_idx(si, ni, node_num);
+ Node *node0 = node + idx;
+ if (node0->visited == 0) {
+ int cnt = 0;
+ node0->visited = 1;
+ for (int i = 0; i < 2; i++) {
+ if (fabs(node0->inWeight[i]) == 1 || fabs(node0->inWeight[i]) == 0)
+ cnt++;
+ }
+ if (cnt != 2) {
+ for (int i = 0; i < 2; i++) {
+ if (fabs(node0->inWeight[i]) != 1 &&
+ fabs(node0->inWeight[i]) != 0) {
+ double w = node0->inWeight[i];
+ int idx = get_cos_idx(w, COS_MOD);
+ int sgn = w < 0 ? 1 : 0;
+
+ if (!visited[idx][sgn]) {
+ visited[idx][sgn] = 1;
+ printf(" __m128i %s = _mm_set1_epi32(%s);\n",
+ cos_text_sse4_1(w, COS_MOD, text, size),
+ cos_text_arr(w, COS_MOD, text1, size));
+ }
+ }
+ }
+ Node *node1 = get_partner_node(node0);
+ node1->visited = 1;
+ }
+ }
+ }
+ }
+}
+
+void single_node_to_code_sse4_1(Node *node, const char *buf0,
+ const char *buf1) {
+ printf(" %s[%2d] =", buf1, node->nodeIdx);
+ if (node->inWeight[0] == 1 && node->inWeight[1] == 1) {
+ printf(" _mm_add_epi32(%s[%d], %s[%d])", buf0, node->inNodeIdx[0], buf0,
+ node->inNodeIdx[1]);
+ } else if (node->inWeight[0] == 1 && node->inWeight[1] == -1) {
+ printf(" _mm_sub_epi32(%s[%d], %s[%d])", buf0, node->inNodeIdx[0], buf0,
+ node->inNodeIdx[1]);
+ } else if (node->inWeight[0] == -1 && node->inWeight[1] == 1) {
+ printf(" _mm_sub_epi32(%s[%d], %s[%d])", buf0, node->inNodeIdx[1], buf0,
+ node->inNodeIdx[0]);
+ } else if (node->inWeight[0] == 1 && node->inWeight[1] == 0) {
+ printf(" %s[%d]", buf0, node->inNodeIdx[0]);
+ } else if (node->inWeight[0] == 0 && node->inWeight[1] == 1) {
+ printf(" %s[%d]", buf0, node->inNodeIdx[1]);
+ } else if (node->inWeight[0] == -1 && node->inWeight[1] == 0) {
+ printf(" _mm_sub_epi32(__zero, %s[%d])", buf0, node->inNodeIdx[0]);
+ } else if (node->inWeight[0] == 0 && node->inWeight[1] == -1) {
+ printf(" _mm_sub_epi32(__zero, %s[%d])", buf0, node->inNodeIdx[1]);
+ }
+ printf(";\n");
+}
+
+void pair_node_to_code_sse4_1(Node *node, Node *partnerNode, const char *buf0,
+ const char *buf1) {
+ char temp0[100];
+ char temp1[100];
+ if (node->inWeight[0] * partnerNode->inWeight[0] < 0) {
+ /* type0
+ * cos sin
+ * sin -cos
+ */
+ // btf_32_sse2_type0(w0, w1, in0, in1, out0, out1)
+ // out0 = w0*in0 + w1*in1
+ // out1 = -w0*in1 + w1*in0
+ printf(
+ " btf_32_type0_sse4_1_new(%s, %s, %s[%d], %s[%d], %s[%d], %s[%d], "
+ "__rounding, cos_bit);\n",
+ cos_text_sse4_1(node->inWeight[0], COS_MOD, temp0, 100),
+ cos_text_sse4_1(node->inWeight[1], COS_MOD, temp1, 100), buf0,
+ node->inNodeIdx[0], buf0, node->inNodeIdx[1], buf1, node->nodeIdx, buf1,
+ partnerNode->nodeIdx);
+ } else {
+ /* type1
+ * cos sin
+ * -sin cos
+ */
+ // btf_32_sse2_type1(w0, w1, in0, in1, out0, out1)
+ // out0 = w0*in0 + w1*in1
+ // out1 = w0*in1 - w1*in0
+ printf(
+ " btf_32_type1_sse4_1_new(%s, %s, %s[%d], %s[%d], %s[%d], %s[%d], "
+ "__rounding, cos_bit);\n",
+ cos_text_sse4_1(node->inWeight[0], COS_MOD, temp0, 100),
+ cos_text_sse4_1(node->inWeight[1], COS_MOD, temp1, 100), buf0,
+ node->inNodeIdx[0], buf0, node->inNodeIdx[1], buf1, node->nodeIdx, buf1,
+ partnerNode->nodeIdx);
+ }
+}
+
+void node_to_code_sse4_1(Node *node, const char *buf0, const char *buf1) {
+ int cnt = 0;
+ int cnt1 = 0;
+ if (node->visited == 0) {
+ node->visited = 1;
+ for (int i = 0; i < 2; i++) {
+ if (fabs(node->inWeight[i]) == 1 || fabs(node->inWeight[i]) == 0) cnt++;
+ if (fabs(node->inWeight[i]) == 1) cnt1++;
+ }
+ if (cnt == 2) {
+ if (cnt1 == 2) {
+ // has a partner
+ Node *partnerNode = get_partner_node(node);
+ partnerNode->visited = 1;
+ single_node_to_code_sse4_1(node, buf0, buf1);
+ single_node_to_code_sse4_1(partnerNode, buf0, buf1);
+ } else {
+ single_node_to_code_sse2(node, buf0, buf1);
+ }
+ } else {
+ Node *partnerNode = get_partner_node(node);
+ partnerNode->visited = 1;
+ pair_node_to_code_sse4_1(node, partnerNode, buf0, buf1);
+ }
+ }
+}
+
+void gen_code_sse4_1(Node *node, int stage_num, int node_num, TYPE_TXFM type) {
+ char *fun_name = new char[100];
+ get_fun_name(fun_name, 100, type, node_num);
+
+ printf("\n");
+ printf(
+ "void %s_sse4_1(const __m128i *input, __m128i *output, int8_t cos_bit) "
+ "{\n",
+ fun_name);
+
+ printf(" const int32_t* cospi = cospi_arr(cos_bit);\n");
+ printf(" const __m128i __zero = _mm_setzero_si128();\n");
+ printf(" const __m128i __rounding = _mm_set1_epi32(1 << (cos_bit - 1));\n");
+
+ graph_reset_visited(node, stage_num, node_num);
+ gen_cospi_list_sse4_1(node, stage_num, node_num);
+ graph_reset_visited(node, stage_num, node_num);
+ for (int si = 1; si < stage_num; si++) {
+ char in[100];
+ char out[100];
+ printf("\n");
+ printf(" // stage %d\n", si);
+ if (si == 1)
+ snprintf(in, 100, "%s", "input");
+ else
+ snprintf(in, 100, "x%d", si - 1);
+ if (si == stage_num - 1) {
+ snprintf(out, 100, "%s", "output");
+ } else {
+ snprintf(out, 100, "x%d", si);
+ printf(" __m128i %s[%d];\n", out, node_num);
+ }
+ // computation code
+ for (int ni = 0; ni < node_num; ni++) {
+ int idx = get_idx(si, ni, node_num);
+ node_to_code_sse4_1(node + idx, in, out);
+ }
+ }
+
+ printf("}\n");
+}
+
+void gen_hybrid_code(CODE_TYPE code_type, TYPE_TXFM txfm_type, int node_num) {
+ int stage_num = get_hybrid_stage_num(txfm_type, node_num);
+
+ Node *node = new Node[node_num * stage_num];
+ init_graph(node, stage_num, node_num);
+
+ gen_hybrid_graph_1d(node, stage_num, node_num, 0, 0, node_num, txfm_type);
+
+ switch (code_type) {
+ case CODE_TYPE_C: gen_code_c(node, stage_num, node_num, txfm_type); break;
+ case CODE_TYPE_SSE2:
+ gen_code_sse2(node, stage_num, node_num, txfm_type);
+ break;
+ case CODE_TYPE_SSE4_1:
+ gen_code_sse4_1(node, stage_num, node_num, txfm_type);
+ break;
+ }
+
+ delete[] node;
+}
+
+int main(int argc, char **argv) {
+ CODE_TYPE code_type = CODE_TYPE_SSE4_1;
+ for (int txfm_type = TYPE_DCT; txfm_type < TYPE_LAST; txfm_type++) {
+ for (int node_num = 4; node_num <= 64; node_num *= 2) {
+ gen_hybrid_code(code_type, (TYPE_TXFM)txfm_type, node_num);
+ }
+ }
+ return 0;
+}
diff --git a/third_party/aom/tools/txfm_analyzer/txfm_graph.cc b/third_party/aom/tools/txfm_analyzer/txfm_graph.cc
new file mode 100644
index 0000000000..a249061008
--- /dev/null
+++ b/third_party/aom/tools/txfm_analyzer/txfm_graph.cc
@@ -0,0 +1,943 @@
+/*
+ * Copyright (c) 2018, Alliance for Open Media. All rights reserved
+ *
+ * This source code is subject to the terms of the BSD 2 Clause License and
+ * the Alliance for Open Media Patent License 1.0. If the BSD 2 Clause License
+ * was not distributed with this source code in the LICENSE file, you can
+ * obtain it at www.aomedia.org/license/software. If the Alliance for Open
+ * Media Patent License 1.0 was not distributed with this source code in the
+ * PATENTS file, you can obtain it at www.aomedia.org/license/patent.
+ */
+
+#include "tools/txfm_analyzer/txfm_graph.h"
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <math.h>
+
+typedef struct Node Node;
+
+void get_fun_name(char *str_fun_name, int str_buf_size, const TYPE_TXFM type,
+ const int txfm_size) {
+ if (type == TYPE_DCT)
+ snprintf(str_fun_name, str_buf_size, "fdct%d_new", txfm_size);
+ else if (type == TYPE_ADST)
+ snprintf(str_fun_name, str_buf_size, "fadst%d_new", txfm_size);
+ else if (type == TYPE_IDCT)
+ snprintf(str_fun_name, str_buf_size, "idct%d_new", txfm_size);
+ else if (type == TYPE_IADST)
+ snprintf(str_fun_name, str_buf_size, "iadst%d_new", txfm_size);
+}
+
+void get_txfm_type_name(char *str_fun_name, int str_buf_size,
+ const TYPE_TXFM type, const int txfm_size) {
+ if (type == TYPE_DCT)
+ snprintf(str_fun_name, str_buf_size, "TXFM_TYPE_DCT%d", txfm_size);
+ else if (type == TYPE_ADST)
+ snprintf(str_fun_name, str_buf_size, "TXFM_TYPE_ADST%d", txfm_size);
+ else if (type == TYPE_IDCT)
+ snprintf(str_fun_name, str_buf_size, "TXFM_TYPE_DCT%d", txfm_size);
+ else if (type == TYPE_IADST)
+ snprintf(str_fun_name, str_buf_size, "TXFM_TYPE_ADST%d", txfm_size);
+}
+
+void get_hybrid_2d_type_name(char *buf, int buf_size, const TYPE_TXFM type0,
+ const TYPE_TXFM type1, const int txfm_size0,
+ const int txfm_size1) {
+ if (type0 == TYPE_DCT && type1 == TYPE_DCT)
+ snprintf(buf, buf_size, "_dct_dct_%dx%d", txfm_size1, txfm_size0);
+ else if (type0 == TYPE_DCT && type1 == TYPE_ADST)
+ snprintf(buf, buf_size, "_dct_adst_%dx%d", txfm_size1, txfm_size0);
+ else if (type0 == TYPE_ADST && type1 == TYPE_ADST)
+ snprintf(buf, buf_size, "_adst_adst_%dx%d", txfm_size1, txfm_size0);
+ else if (type0 == TYPE_ADST && type1 == TYPE_DCT)
+ snprintf(buf, buf_size, "_adst_dct_%dx%d", txfm_size1, txfm_size0);
+}
+
+TYPE_TXFM get_inv_type(TYPE_TXFM type) {
+ if (type == TYPE_DCT)
+ return TYPE_IDCT;
+ else if (type == TYPE_ADST)
+ return TYPE_IADST;
+ else if (type == TYPE_IDCT)
+ return TYPE_DCT;
+ else if (type == TYPE_IADST)
+ return TYPE_ADST;
+ else
+ return TYPE_LAST;
+}
+
+void reference_dct_1d(double *in, double *out, int size) {
+ const double kInvSqrt2 = 0.707106781186547524400844362104;
+ for (int k = 0; k < size; k++) {
+ out[k] = 0; // initialize out[k]
+ for (int n = 0; n < size; n++) {
+ out[k] += in[n] * cos(PI * (2 * n + 1) * k / (2 * size));
+ }
+ if (k == 0) out[k] = out[k] * kInvSqrt2;
+ }
+}
+
+void reference_dct_2d(double *in, double *out, int size) {
+ double *tempOut = new double[size * size];
+ // dct each row: in -> out
+ for (int r = 0; r < size; r++) {
+ reference_dct_1d(in + r * size, out + r * size, size);
+ }
+
+ for (int r = 0; r < size; r++) {
+ // out ->tempOut
+ for (int c = 0; c < size; c++) {
+ tempOut[r * size + c] = out[c * size + r];
+ }
+ }
+ for (int r = 0; r < size; r++) {
+ reference_dct_1d(tempOut + r * size, out + r * size, size);
+ }
+ delete[] tempOut;
+}
+
+void reference_adst_1d(double *in, double *out, int size) {
+ for (int k = 0; k < size; k++) {
+ out[k] = 0; // initialize out[k]
+ for (int n = 0; n < size; n++) {
+ out[k] += in[n] * sin(PI * (2 * n + 1) * (2 * k + 1) / (4 * size));
+ }
+ }
+}
+
+void reference_hybrid_2d(double *in, double *out, int size, int type0,
+ int type1) {
+ double *tempOut = new double[size * size];
+ // dct each row: in -> out
+ for (int r = 0; r < size; r++) {
+ if (type0 == TYPE_DCT)
+ reference_dct_1d(in + r * size, out + r * size, size);
+ else
+ reference_adst_1d(in + r * size, out + r * size, size);
+ }
+
+ for (int r = 0; r < size; r++) {
+ // out ->tempOut
+ for (int c = 0; c < size; c++) {
+ tempOut[r * size + c] = out[c * size + r];
+ }
+ }
+ for (int r = 0; r < size; r++) {
+ if (type1 == TYPE_DCT)
+ reference_dct_1d(tempOut + r * size, out + r * size, size);
+ else
+ reference_adst_1d(tempOut + r * size, out + r * size, size);
+ }
+ delete[] tempOut;
+}
+
+void reference_hybrid_2d_new(double *in, double *out, int size0, int size1,
+ int type0, int type1) {
+ double *tempOut = new double[size0 * size1];
+ // dct each row: in -> out
+ for (int r = 0; r < size1; r++) {
+ if (type0 == TYPE_DCT)
+ reference_dct_1d(in + r * size0, out + r * size0, size0);
+ else
+ reference_adst_1d(in + r * size0, out + r * size0, size0);
+ }
+
+ for (int r = 0; r < size1; r++) {
+ // out ->tempOut
+ for (int c = 0; c < size0; c++) {
+ tempOut[c * size1 + r] = out[r * size0 + c];
+ }
+ }
+ for (int r = 0; r < size0; r++) {
+ if (type1 == TYPE_DCT)
+ reference_dct_1d(tempOut + r * size1, out + r * size1, size1);
+ else
+ reference_adst_1d(tempOut + r * size1, out + r * size1, size1);
+ }
+ delete[] tempOut;
+}
+
+unsigned int get_max_bit(unsigned int x) {
+ int max_bit = -1;
+ while (x) {
+ x = x >> 1;
+ max_bit++;
+ }
+ return max_bit;
+}
+
+unsigned int bitwise_reverse(unsigned int x, int max_bit) {
+ x = ((x >> 16) & 0x0000ffff) | ((x & 0x0000ffff) << 16);
+ x = ((x >> 8) & 0x00ff00ff) | ((x & 0x00ff00ff) << 8);
+ x = ((x >> 4) & 0x0f0f0f0f) | ((x & 0x0f0f0f0f) << 4);
+ x = ((x >> 2) & 0x33333333) | ((x & 0x33333333) << 2);
+ x = ((x >> 1) & 0x55555555) | ((x & 0x55555555) << 1);
+ x = x >> (31 - max_bit);
+ return x;
+}
+
+int get_idx(int ri, int ci, int cSize) { return ri * cSize + ci; }
+
+void add_node(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int in, double w) {
+ int outIdx = get_idx(stage_idx, node_idx, node_num);
+ int inIdx = get_idx(stage_idx - 1, in, node_num);
+ int idx = node[outIdx].inNodeNum;
+ if (idx < 2) {
+ node[outIdx].inNode[idx] = &node[inIdx];
+ node[outIdx].inNodeIdx[idx] = in;
+ node[outIdx].inWeight[idx] = w;
+ idx++;
+ node[outIdx].inNodeNum = idx;
+ } else {
+ printf("Error: inNode is full");
+ }
+}
+
+void connect_node(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int in0, double w0, int in1, double w1) {
+ int outIdx = get_idx(stage_idx, node_idx, node_num);
+ int inIdx0 = get_idx(stage_idx - 1, in0, node_num);
+ int inIdx1 = get_idx(stage_idx - 1, in1, node_num);
+
+ int idx = 0;
+ // if(w0 != 0) {
+ node[outIdx].inNode[idx] = &node[inIdx0];
+ node[outIdx].inNodeIdx[idx] = in0;
+ node[outIdx].inWeight[idx] = w0;
+ idx++;
+ //}
+
+ // if(w1 != 0) {
+ node[outIdx].inNode[idx] = &node[inIdx1];
+ node[outIdx].inNodeIdx[idx] = in1;
+ node[outIdx].inWeight[idx] = w1;
+ idx++;
+ //}
+
+ node[outIdx].inNodeNum = idx;
+}
+
+void propagate(Node *node, int stage_num, int node_num, int stage_idx) {
+ for (int ni = 0; ni < node_num; ni++) {
+ int outIdx = get_idx(stage_idx, ni, node_num);
+ node[outIdx].value = 0;
+ for (int k = 0; k < node[outIdx].inNodeNum; k++) {
+ node[outIdx].value +=
+ node[outIdx].inNode[k]->value * node[outIdx].inWeight[k];
+ }
+ }
+}
+
+int64_t round_shift(int64_t value, int bit) {
+ if (bit > 0) {
+ if (value < 0) {
+ return -round_shift(-value, bit);
+ } else {
+ return (value + (1 << (bit - 1))) >> bit;
+ }
+ } else {
+ return value << (-bit);
+ }
+}
+
+void round_shift_array(int32_t *arr, int size, int bit) {
+ if (bit == 0) {
+ return;
+ } else {
+ for (int i = 0; i < size; i++) {
+ arr[i] = round_shift(arr[i], bit);
+ }
+ }
+}
+
+void graph_reset_visited(Node *node, int stage_num, int node_num) {
+ for (int si = 0; si < stage_num; si++) {
+ for (int ni = 0; ni < node_num; ni++) {
+ int idx = get_idx(si, ni, node_num);
+ node[idx].visited = 0;
+ }
+ }
+}
+
+void estimate_value(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int estimate_bit) {
+ if (stage_idx > 0) {
+ int outIdx = get_idx(stage_idx, node_idx, node_num);
+ int64_t out = 0;
+ node[outIdx].value = 0;
+ for (int k = 0; k < node[outIdx].inNodeNum; k++) {
+ int64_t w = round(node[outIdx].inWeight[k] * (1 << estimate_bit));
+ int64_t v = round(node[outIdx].inNode[k]->value);
+ out += v * w;
+ }
+ node[outIdx].value = round_shift(out, estimate_bit);
+ }
+}
+
+void amplify_value(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int amplify_bit) {
+ int outIdx = get_idx(stage_idx, node_idx, node_num);
+ node[outIdx].value = round_shift(round(node[outIdx].value), -amplify_bit);
+}
+
+void propagate_estimate_amlify(Node *node, int stage_num, int node_num,
+ int stage_idx, int amplify_bit,
+ int estimate_bit) {
+ for (int ni = 0; ni < node_num; ni++) {
+ estimate_value(node, stage_num, node_num, stage_idx, ni, estimate_bit);
+ amplify_value(node, stage_num, node_num, stage_idx, ni, amplify_bit);
+ }
+}
+
+void init_graph(Node *node, int stage_num, int node_num) {
+ for (int si = 0; si < stage_num; si++) {
+ for (int ni = 0; ni < node_num; ni++) {
+ int outIdx = get_idx(si, ni, node_num);
+ node[outIdx].stageIdx = si;
+ node[outIdx].nodeIdx = ni;
+ node[outIdx].value = 0;
+ node[outIdx].inNodeNum = 0;
+ if (si >= 1) {
+ connect_node(node, stage_num, node_num, si, ni, ni, 1, ni, 0);
+ }
+ }
+ }
+}
+
+void gen_B_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int N, int star) {
+ for (int i = 0; i < N / 2; i++) {
+ int out = node_idx + i;
+ int in1 = node_idx + N - 1 - i;
+ if (star == 1) {
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, out, -1, in1,
+ 1);
+ } else {
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, out, 1, in1,
+ 1);
+ }
+ }
+ for (int i = N / 2; i < N; i++) {
+ int out = node_idx + i;
+ int in1 = node_idx + N - 1 - i;
+ if (star == 1) {
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, out, 1, in1,
+ 1);
+ } else {
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, out, -1, in1,
+ 1);
+ }
+ }
+}
+
+void gen_P_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int N) {
+ int max_bit = get_max_bit(N - 1);
+ for (int i = 0; i < N; i++) {
+ int out = node_idx + bitwise_reverse(i, max_bit);
+ int in = node_idx + i;
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, in, 1, in, 0);
+ }
+}
+
+void gen_type1_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int N) {
+ int max_bit = get_max_bit(N);
+ for (int ni = 0; ni < N / 2; ni++) {
+ int ai = bitwise_reverse(N + ni, max_bit);
+ int out = node_idx + ni;
+ int in1 = node_idx + N - ni - 1;
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, out,
+ sin(PI * ai / (2 * 2 * N)), in1, cos(PI * ai / (2 * 2 * N)));
+ }
+ for (int ni = N / 2; ni < N; ni++) {
+ int ai = bitwise_reverse(N + ni, max_bit);
+ int out = node_idx + ni;
+ int in1 = node_idx + N - ni - 1;
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, out,
+ cos(PI * ai / (2 * 2 * N)), in1, -sin(PI * ai / (2 * 2 * N)));
+ }
+}
+
+void gen_type2_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int N) {
+ for (int ni = 0; ni < N / 4; ni++) {
+ int out = node_idx + ni;
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, out, 1, out, 0);
+ }
+
+ for (int ni = N / 4; ni < N / 2; ni++) {
+ int out = node_idx + ni;
+ int in1 = node_idx + N - ni - 1;
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, out,
+ -cos(PI / 4), in1, cos(-PI / 4));
+ }
+
+ for (int ni = N / 2; ni < N * 3 / 4; ni++) {
+ int out = node_idx + ni;
+ int in1 = node_idx + N - ni - 1;
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, out,
+ cos(-PI / 4), in1, cos(PI / 4));
+ }
+
+ for (int ni = N * 3 / 4; ni < N; ni++) {
+ int out = node_idx + ni;
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, out, 1, out, 0);
+ }
+}
+
+void gen_type3_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int idx, int N) {
+ // TODO(angiebird): Simplify and clarify this function
+
+ int i = 2 * N / (1 << (idx / 2));
+ int max_bit =
+ get_max_bit(i / 2) - 1; // the max_bit counts on i/2 instead of N here
+ int N_over_i = 2 << (idx / 2);
+
+ for (int nj = 0; nj < N / 2; nj += N_over_i) {
+ int j = nj / (N_over_i);
+ int kj = bitwise_reverse(i / 4 + j, max_bit);
+ // printf("kj = %d\n", kj);
+
+ // I_N/2i --- 0
+ int offset = nj;
+ for (int ni = 0; ni < N_over_i / 4; ni++) {
+ int out = node_idx + offset + ni;
+ int in = out;
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, in, 1, in, 0);
+ }
+
+ // -C_Kj/i --- S_Kj/i
+ offset += N_over_i / 4;
+ for (int ni = 0; ni < N_over_i / 4; ni++) {
+ int out = node_idx + offset + ni;
+ int in0 = out;
+ double w0 = -cos(kj * PI / i);
+ int in1 = N - (offset + ni) - 1 + node_idx;
+ double w1 = sin(kj * PI / i);
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, in0, w0, in1,
+ w1);
+ }
+
+ // S_kj/i --- -C_Kj/i
+ offset += N_over_i / 4;
+ for (int ni = 0; ni < N_over_i / 4; ni++) {
+ int out = node_idx + offset + ni;
+ int in0 = out;
+ double w0 = -sin(kj * PI / i);
+ int in1 = N - (offset + ni) - 1 + node_idx;
+ double w1 = -cos(kj * PI / i);
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, in0, w0, in1,
+ w1);
+ }
+
+ // I_N/2i --- 0
+ offset += N_over_i / 4;
+ for (int ni = 0; ni < N_over_i / 4; ni++) {
+ int out = node_idx + offset + ni;
+ int in = out;
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, in, 1, in, 0);
+ }
+ }
+
+ for (int nj = N / 2; nj < N; nj += N_over_i) {
+ int j = nj / N_over_i;
+ int kj = bitwise_reverse(i / 4 + j, max_bit);
+
+ // I_N/2i --- 0
+ int offset = nj;
+ for (int ni = 0; ni < N_over_i / 4; ni++) {
+ int out = node_idx + offset + ni;
+ int in = out;
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, in, 1, in, 0);
+ }
+
+ // C_kj/i --- -S_Kj/i
+ offset += N_over_i / 4;
+ for (int ni = 0; ni < N_over_i / 4; ni++) {
+ int out = node_idx + offset + ni;
+ int in0 = out;
+ double w0 = cos(kj * PI / i);
+ int in1 = N - (offset + ni) - 1 + node_idx;
+ double w1 = -sin(kj * PI / i);
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, in0, w0, in1,
+ w1);
+ }
+
+ // S_kj/i --- C_Kj/i
+ offset += N_over_i / 4;
+ for (int ni = 0; ni < N_over_i / 4; ni++) {
+ int out = node_idx + offset + ni;
+ int in0 = out;
+ double w0 = sin(kj * PI / i);
+ int in1 = N - (offset + ni) - 1 + node_idx;
+ double w1 = cos(kj * PI / i);
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, in0, w0, in1,
+ w1);
+ }
+
+ // I_N/2i --- 0
+ offset += N_over_i / 4;
+ for (int ni = 0; ni < N_over_i / 4; ni++) {
+ int out = node_idx + offset + ni;
+ int in = out;
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, in, 1, in, 0);
+ }
+ }
+}
+
+void gen_type4_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int idx, int N) {
+ int B_size = 1 << ((idx + 1) / 2);
+ for (int ni = 0; ni < N; ni += B_size) {
+ gen_B_graph(node, stage_num, node_num, stage_idx, node_idx + ni, B_size,
+ (ni / B_size) % 2);
+ }
+}
+
+void gen_R_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int N) {
+ int max_idx = 2 * (get_max_bit(N) + 1) - 3;
+ for (int idx = 0; idx < max_idx; idx++) {
+ int s = stage_idx + max_idx - idx - 1;
+ if (idx == 0) {
+ // type 1
+ gen_type1_graph(node, stage_num, node_num, s, node_idx, N);
+ } else if (idx == max_idx - 1) {
+ // type 2
+ gen_type2_graph(node, stage_num, node_num, s, node_idx, N);
+ } else if ((idx + 1) % 2 == 0) {
+ // type 4
+ gen_type4_graph(node, stage_num, node_num, s, node_idx, idx, N);
+ } else if ((idx + 1) % 2 == 1) {
+ // type 3
+ gen_type3_graph(node, stage_num, node_num, s, node_idx, idx, N);
+ } else {
+ printf("check gen_R_graph()\n");
+ }
+ }
+}
+
+void gen_DCT_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int N) {
+ if (N > 2) {
+ gen_B_graph(node, stage_num, node_num, stage_idx, node_idx, N, 0);
+ gen_DCT_graph(node, stage_num, node_num, stage_idx + 1, node_idx, N / 2);
+ gen_R_graph(node, stage_num, node_num, stage_idx + 1, node_idx + N / 2,
+ N / 2);
+ } else {
+ // generate dct_2
+ connect_node(node, stage_num, node_num, stage_idx + 1, node_idx, node_idx,
+ cos(PI / 4), node_idx + 1, cos(PI / 4));
+ connect_node(node, stage_num, node_num, stage_idx + 1, node_idx + 1,
+ node_idx + 1, -cos(PI / 4), node_idx, cos(PI / 4));
+ }
+}
+
+int get_dct_stage_num(int size) { return 2 * get_max_bit(size); }
+
+void gen_DCT_graph_1d(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int dct_node_num) {
+ gen_DCT_graph(node, stage_num, node_num, stage_idx, node_idx, dct_node_num);
+ int dct_stage_num = get_dct_stage_num(dct_node_num);
+ gen_P_graph(node, stage_num, node_num, stage_idx + dct_stage_num - 2,
+ node_idx, dct_node_num);
+}
+
+void gen_adst_B_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int adst_idx) {
+ int size = 1 << (adst_idx + 1);
+ for (int ni = 0; ni < size / 2; ni++) {
+ int nOut = node_idx + ni;
+ int nIn = nOut + size / 2;
+ connect_node(node, stage_num, node_num, stage_idx + 1, nOut, nOut, 1, nIn,
+ 1);
+ // printf("nOut: %d nIn: %d\n", nOut, nIn);
+ }
+ for (int ni = size / 2; ni < size; ni++) {
+ int nOut = node_idx + ni;
+ int nIn = nOut - size / 2;
+ connect_node(node, stage_num, node_num, stage_idx + 1, nOut, nOut, -1, nIn,
+ 1);
+ // printf("ndctOut: %d nIn: %d\n", nOut, nIn);
+ }
+}
+
+void gen_adst_U_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int adst_idx, int adst_node_num) {
+ int size = 1 << (adst_idx + 1);
+ for (int ni = 0; ni < adst_node_num; ni += size) {
+ gen_adst_B_graph(node, stage_num, node_num, stage_idx, node_idx + ni,
+ adst_idx);
+ }
+}
+
+void gen_adst_T_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, double freq) {
+ connect_node(node, stage_num, node_num, stage_idx + 1, node_idx, node_idx,
+ cos(freq * PI), node_idx + 1, sin(freq * PI));
+ connect_node(node, stage_num, node_num, stage_idx + 1, node_idx + 1,
+ node_idx + 1, -cos(freq * PI), node_idx, sin(freq * PI));
+}
+
+void gen_adst_E_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int adst_idx) {
+ int size = 1 << (adst_idx);
+ for (int i = 0; i < size / 2; i++) {
+ int ni = i * 2;
+ double fi = (1 + 4 * i) * 1.0 / (1 << (adst_idx + 1));
+ gen_adst_T_graph(node, stage_num, node_num, stage_idx, node_idx + ni, fi);
+ }
+}
+
+void gen_adst_V_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int adst_idx, int adst_node_num) {
+ int size = 1 << (adst_idx);
+ for (int i = 0; i < adst_node_num / size; i++) {
+ if (i % 2 == 1) {
+ int ni = i * size;
+ gen_adst_E_graph(node, stage_num, node_num, stage_idx, node_idx + ni,
+ adst_idx);
+ }
+ }
+}
+void gen_adst_VJ_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int adst_node_num) {
+ for (int i = 0; i < adst_node_num / 2; i++) {
+ int ni = i * 2;
+ double fi = (1 + 4 * i) * 1.0 / (4 * adst_node_num);
+ gen_adst_T_graph(node, stage_num, node_num, stage_idx, node_idx + ni, fi);
+ }
+}
+void gen_adst_Q_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int adst_node_num) {
+ // reverse order when idx is 1, 3, 5, 7 ...
+ // example of adst_node_num = 8:
+ // 0 1 2 3 4 5 6 7
+ // --> 0 7 2 5 4 3 6 1
+ for (int ni = 0; ni < adst_node_num; ni++) {
+ if (ni % 2 == 0) {
+ int out = node_idx + ni;
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, out, 1, out,
+ 0);
+ } else {
+ int out = node_idx + ni;
+ int in = node_idx + adst_node_num - ni;
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, in, 1, in, 0);
+ }
+ }
+}
+void gen_adst_Ibar_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int adst_node_num) {
+ // reverse order
+ // 0 1 2 3 --> 3 2 1 0
+ for (int ni = 0; ni < adst_node_num; ni++) {
+ int out = node_idx + ni;
+ int in = node_idx + adst_node_num - ni - 1;
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, in, 1, in, 0);
+ }
+}
+
+int get_Q_out2in(int adst_node_num, int out) {
+ int in;
+ if (out % 2 == 0) {
+ in = out;
+ } else {
+ in = adst_node_num - out;
+ }
+ return in;
+}
+
+int get_Ibar_out2in(int adst_node_num, int out) {
+ return adst_node_num - out - 1;
+}
+
+void gen_adst_IbarQ_graph(Node *node, int stage_num, int node_num,
+ int stage_idx, int node_idx, int adst_node_num) {
+ // in -> Ibar -> Q -> out
+ for (int ni = 0; ni < adst_node_num; ni++) {
+ int out = node_idx + ni;
+ int in = node_idx +
+ get_Ibar_out2in(adst_node_num, get_Q_out2in(adst_node_num, ni));
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, in, 1, in, 0);
+ }
+}
+
+void gen_adst_D_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int adst_node_num) {
+ // reverse order
+ for (int ni = 0; ni < adst_node_num; ni++) {
+ int out = node_idx + ni;
+ int in = out;
+ if (ni % 2 == 0) {
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, in, 1, in, 0);
+ } else {
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, in, -1, in,
+ 0);
+ }
+ }
+}
+
+int get_hadamard_idx(int x, int adst_node_num) {
+ int max_bit = get_max_bit(adst_node_num - 1);
+ x = bitwise_reverse(x, max_bit);
+
+ // gray code
+ int c = x & 1;
+ int p = x & 1;
+ int y = c;
+
+ for (int i = 1; i <= max_bit; i++) {
+ p = c;
+ c = (x >> i) & 1;
+ y += (c ^ p) << i;
+ }
+ return y;
+}
+
+void gen_adst_Ht_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int adst_node_num) {
+ for (int ni = 0; ni < adst_node_num; ni++) {
+ int out = node_idx + ni;
+ int in = node_idx + get_hadamard_idx(ni, adst_node_num);
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, in, 1, in, 0);
+ }
+}
+
+void gen_adst_HtD_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int adst_node_num) {
+ for (int ni = 0; ni < adst_node_num; ni++) {
+ int out = node_idx + ni;
+ int in = node_idx + get_hadamard_idx(ni, adst_node_num);
+ double inW;
+ if (ni % 2 == 0)
+ inW = 1;
+ else
+ inW = -1;
+ connect_node(node, stage_num, node_num, stage_idx + 1, out, in, inW, in, 0);
+ }
+}
+
+int get_adst_stage_num(int adst_node_num) {
+ return 2 * get_max_bit(adst_node_num) + 2;
+}
+
+int gen_iadst_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int adst_node_num) {
+ int max_bit = get_max_bit(adst_node_num);
+ int si = 0;
+ gen_adst_IbarQ_graph(node, stage_num, node_num, stage_idx + si, node_idx,
+ adst_node_num);
+ si++;
+ gen_adst_VJ_graph(node, stage_num, node_num, stage_idx + si, node_idx,
+ adst_node_num);
+ si++;
+ for (int adst_idx = max_bit - 1; adst_idx >= 1; adst_idx--) {
+ gen_adst_U_graph(node, stage_num, node_num, stage_idx + si, node_idx,
+ adst_idx, adst_node_num);
+ si++;
+ gen_adst_V_graph(node, stage_num, node_num, stage_idx + si, node_idx,
+ adst_idx, adst_node_num);
+ si++;
+ }
+ gen_adst_HtD_graph(node, stage_num, node_num, stage_idx + si, node_idx,
+ adst_node_num);
+ si++;
+ return si + 1;
+}
+
+int gen_adst_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int adst_node_num) {
+ int hybrid_stage_num = get_hybrid_stage_num(TYPE_ADST, adst_node_num);
+ // generate a adst tempNode
+ Node *tempNode = new Node[hybrid_stage_num * adst_node_num];
+ init_graph(tempNode, hybrid_stage_num, adst_node_num);
+ int si = gen_iadst_graph(tempNode, hybrid_stage_num, adst_node_num, 0, 0,
+ adst_node_num);
+
+ // tempNode's inverse graph to node[stage_idx][node_idx]
+ gen_inv_graph(tempNode, hybrid_stage_num, adst_node_num, node, stage_num,
+ node_num, stage_idx, node_idx);
+ delete[] tempNode;
+ return si;
+}
+
+void connect_layer_2d(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int dct_node_num) {
+ for (int first = 0; first < dct_node_num; first++) {
+ for (int second = 0; second < dct_node_num; second++) {
+ // int sIn = stage_idx;
+ int sOut = stage_idx + 1;
+ int nIn = node_idx + first * dct_node_num + second;
+ int nOut = node_idx + second * dct_node_num + first;
+
+ // printf("sIn: %d nIn: %d sOut: %d nOut: %d\n", sIn, nIn, sOut, nOut);
+
+ connect_node(node, stage_num, node_num, sOut, nOut, nIn, 1, nIn, 0);
+ }
+ }
+}
+
+void connect_layer_2d_new(Node *node, int stage_num, int node_num,
+ int stage_idx, int node_idx, int dct_node_num0,
+ int dct_node_num1) {
+ for (int i = 0; i < dct_node_num1; i++) {
+ for (int j = 0; j < dct_node_num0; j++) {
+ // int sIn = stage_idx;
+ int sOut = stage_idx + 1;
+ int nIn = node_idx + i * dct_node_num0 + j;
+ int nOut = node_idx + j * dct_node_num1 + i;
+
+ // printf("sIn: %d nIn: %d sOut: %d nOut: %d\n", sIn, nIn, sOut, nOut);
+
+ connect_node(node, stage_num, node_num, sOut, nOut, nIn, 1, nIn, 0);
+ }
+ }
+}
+
+void gen_DCT_graph_2d(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int dct_node_num) {
+ int dct_stage_num = get_dct_stage_num(dct_node_num);
+ // put 2 layers of dct_node_num DCTs on the graph
+ for (int ni = 0; ni < dct_node_num; ni++) {
+ gen_DCT_graph_1d(node, stage_num, node_num, stage_idx,
+ node_idx + ni * dct_node_num, dct_node_num);
+ gen_DCT_graph_1d(node, stage_num, node_num, stage_idx + dct_stage_num,
+ node_idx + ni * dct_node_num, dct_node_num);
+ }
+ // connect first layer and second layer
+ connect_layer_2d(node, stage_num, node_num, stage_idx + dct_stage_num - 1,
+ node_idx, dct_node_num);
+}
+
+int get_hybrid_stage_num(int type, int hybrid_node_num) {
+ if (type == TYPE_DCT || type == TYPE_IDCT) {
+ return get_dct_stage_num(hybrid_node_num);
+ } else if (type == TYPE_ADST || type == TYPE_IADST) {
+ return get_adst_stage_num(hybrid_node_num);
+ }
+ return 0;
+}
+
+int get_hybrid_2d_stage_num(int type0, int type1, int hybrid_node_num) {
+ int stage_num = 0;
+ stage_num += get_hybrid_stage_num(type0, hybrid_node_num);
+ stage_num += get_hybrid_stage_num(type1, hybrid_node_num);
+ return stage_num;
+}
+
+int get_hybrid_2d_stage_num_new(int type0, int type1, int hybrid_node_num0,
+ int hybrid_node_num1) {
+ int stage_num = 0;
+ stage_num += get_hybrid_stage_num(type0, hybrid_node_num0);
+ stage_num += get_hybrid_stage_num(type1, hybrid_node_num1);
+ return stage_num;
+}
+
+int get_hybrid_amplify_factor(int type, int hybrid_node_num) {
+ return get_max_bit(hybrid_node_num) - 1;
+}
+
+void gen_hybrid_graph_1d(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int hybrid_node_num, int type) {
+ if (type == TYPE_DCT) {
+ gen_DCT_graph_1d(node, stage_num, node_num, stage_idx, node_idx,
+ hybrid_node_num);
+ } else if (type == TYPE_ADST) {
+ gen_adst_graph(node, stage_num, node_num, stage_idx, node_idx,
+ hybrid_node_num);
+ } else if (type == TYPE_IDCT) {
+ int hybrid_stage_num = get_hybrid_stage_num(type, hybrid_node_num);
+ // generate a dct tempNode
+ Node *tempNode = new Node[hybrid_stage_num * hybrid_node_num];
+ init_graph(tempNode, hybrid_stage_num, hybrid_node_num);
+ gen_DCT_graph_1d(tempNode, hybrid_stage_num, hybrid_node_num, 0, 0,
+ hybrid_node_num);
+
+ // tempNode's inverse graph to node[stage_idx][node_idx]
+ gen_inv_graph(tempNode, hybrid_stage_num, hybrid_node_num, node, stage_num,
+ node_num, stage_idx, node_idx);
+ delete[] tempNode;
+ } else if (type == TYPE_IADST) {
+ int hybrid_stage_num = get_hybrid_stage_num(type, hybrid_node_num);
+ // generate a adst tempNode
+ Node *tempNode = new Node[hybrid_stage_num * hybrid_node_num];
+ init_graph(tempNode, hybrid_stage_num, hybrid_node_num);
+ gen_adst_graph(tempNode, hybrid_stage_num, hybrid_node_num, 0, 0,
+ hybrid_node_num);
+
+ // tempNode's inverse graph to node[stage_idx][node_idx]
+ gen_inv_graph(tempNode, hybrid_stage_num, hybrid_node_num, node, stage_num,
+ node_num, stage_idx, node_idx);
+ delete[] tempNode;
+ }
+}
+
+void gen_hybrid_graph_2d(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int hybrid_node_num, int type0,
+ int type1) {
+ int hybrid_stage_num = get_hybrid_stage_num(type0, hybrid_node_num);
+
+ for (int ni = 0; ni < hybrid_node_num; ni++) {
+ gen_hybrid_graph_1d(node, stage_num, node_num, stage_idx,
+ node_idx + ni * hybrid_node_num, hybrid_node_num,
+ type0);
+ gen_hybrid_graph_1d(node, stage_num, node_num, stage_idx + hybrid_stage_num,
+ node_idx + ni * hybrid_node_num, hybrid_node_num,
+ type1);
+ }
+
+ // connect first layer and second layer
+ connect_layer_2d(node, stage_num, node_num, stage_idx + hybrid_stage_num - 1,
+ node_idx, hybrid_node_num);
+}
+
+void gen_hybrid_graph_2d_new(Node *node, int stage_num, int node_num,
+ int stage_idx, int node_idx, int hybrid_node_num0,
+ int hybrid_node_num1, int type0, int type1) {
+ int hybrid_stage_num0 = get_hybrid_stage_num(type0, hybrid_node_num0);
+
+ for (int ni = 0; ni < hybrid_node_num1; ni++) {
+ gen_hybrid_graph_1d(node, stage_num, node_num, stage_idx,
+ node_idx + ni * hybrid_node_num0, hybrid_node_num0,
+ type0);
+ }
+ for (int ni = 0; ni < hybrid_node_num0; ni++) {
+ gen_hybrid_graph_1d(
+ node, stage_num, node_num, stage_idx + hybrid_stage_num0,
+ node_idx + ni * hybrid_node_num1, hybrid_node_num1, type1);
+ }
+
+ // connect first layer and second layer
+ connect_layer_2d_new(node, stage_num, node_num,
+ stage_idx + hybrid_stage_num0 - 1, node_idx,
+ hybrid_node_num0, hybrid_node_num1);
+}
+
+void gen_inv_graph(Node *node, int stage_num, int node_num, Node *invNode,
+ int inv_stage_num, int inv_node_num, int inv_stage_idx,
+ int inv_node_idx) {
+ // clean up inNodeNum in invNode because of add_node
+ for (int si = 1 + inv_stage_idx; si < inv_stage_idx + stage_num; si++) {
+ for (int ni = inv_node_idx; ni < inv_node_idx + node_num; ni++) {
+ int idx = get_idx(si, ni, inv_node_num);
+ invNode[idx].inNodeNum = 0;
+ }
+ }
+ // generate inverse graph of node on invNode
+ for (int si = 1; si < stage_num; si++) {
+ for (int ni = 0; ni < node_num; ni++) {
+ int invSi = stage_num - si;
+ int idx = get_idx(si, ni, node_num);
+ for (int k = 0; k < node[idx].inNodeNum; k++) {
+ int invNi = node[idx].inNodeIdx[k];
+ add_node(invNode, inv_stage_num, inv_node_num, invSi + inv_stage_idx,
+ invNi + inv_node_idx, ni + inv_node_idx,
+ node[idx].inWeight[k]);
+ }
+ }
+ }
+}
diff --git a/third_party/aom/tools/txfm_analyzer/txfm_graph.h b/third_party/aom/tools/txfm_analyzer/txfm_graph.h
new file mode 100644
index 0000000000..2e3c9551e2
--- /dev/null
+++ b/third_party/aom/tools/txfm_analyzer/txfm_graph.h
@@ -0,0 +1,161 @@
+/*
+ * Copyright (c) 2018, Alliance for Open Media. All rights reserved
+ *
+ * This source code is subject to the terms of the BSD 2 Clause License and
+ * the Alliance for Open Media Patent License 1.0. If the BSD 2 Clause License
+ * was not distributed with this source code in the LICENSE file, you can
+ * obtain it at www.aomedia.org/license/software. If the Alliance for Open
+ * Media Patent License 1.0 was not distributed with this source code in the
+ * PATENTS file, you can obtain it at www.aomedia.org/license/patent.
+ */
+
+#ifndef AOM_TOOLS_TXFM_ANALYZER_TXFM_GRAPH_H_
+#define AOM_TOOLS_TXFM_ANALYZER_TXFM_GRAPH_H_
+
+struct Node {
+ Node *inNode[2];
+ int inNodeNum;
+ int inNodeIdx[2];
+ double inWeight[2];
+ double value;
+ int nodeIdx;
+ int stageIdx;
+ int visited;
+};
+
+#define PI (3.141592653589793238462643383279502884)
+#define STAGENUM (10)
+#define NODENUM (32)
+#define COS_MOD (128)
+
+typedef enum {
+ TYPE_DCT = 0,
+ TYPE_ADST,
+ TYPE_IDCT,
+ TYPE_IADST,
+ TYPE_LAST
+} TYPE_TXFM;
+
+TYPE_TXFM get_inv_type(TYPE_TXFM type);
+void get_fun_name(char *str_fun_name, int str_buf_size, const TYPE_TXFM type,
+ const int txfm_size);
+
+void get_txfm_type_name(char *str_fun_name, int str_buf_size,
+ const TYPE_TXFM type, const int txfm_size);
+void get_hybrid_2d_type_name(char *buf, int buf_size, const TYPE_TXFM type0,
+ const TYPE_TXFM type1, const int txfm_size0,
+ const int txfm_size1);
+unsigned int get_max_bit(unsigned int x);
+unsigned int bitwise_reverse(unsigned int x, int max_bit);
+int get_idx(int ri, int ci, int cSize);
+
+int get_dct_stage_num(int size);
+void reference_dct_1d(double *in, double *out, int size);
+void reference_dct_2d(double *in, double *out, int size);
+void connect_node(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int in0, double w0, int in1, double w1);
+void propagate(Node *node, int stage_num, int node_num, int stage);
+void init_graph(Node *node, int stage_num, int node_num);
+void graph_reset_visited(Node *node, int stage_num, int node_num);
+void gen_B_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int N, int star);
+void gen_P_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int N);
+
+void gen_type1_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int N);
+void gen_type2_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int N);
+void gen_type3_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int idx, int N);
+void gen_type4_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int idx, int N);
+
+void gen_R_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int N);
+
+void gen_DCT_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int N);
+
+void gen_DCT_graph_1d(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int dct_node_num);
+void connect_layer_2d(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int dct_node_num);
+
+void gen_DCT_graph_2d(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int dct_node_num);
+
+void gen_adst_B_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int adst_idx);
+
+void gen_adst_U_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int adst_idx, int adst_node_num);
+void gen_adst_T_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, double freq);
+
+void gen_adst_E_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int adst_idx);
+
+void gen_adst_V_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int adst_idx, int adst_node_num);
+
+void gen_adst_VJ_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int adst_node_num);
+void gen_adst_Q_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int adst_node_num);
+void gen_adst_Ibar_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int adst_node_num);
+
+void gen_adst_D_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int adst_node_num);
+
+int get_hadamard_idx(int x, int adst_node_num);
+void gen_adst_Ht_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int adst_node_num);
+
+int gen_adst_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int adst_node_num);
+int gen_iadst_graph(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int adst_node_num);
+void reference_adst_1d(double *in, double *out, int size);
+
+int get_adst_stage_num(int adst_node_num);
+int get_hybrid_stage_num(int type, int hybrid_node_num);
+int get_hybrid_2d_stage_num(int type0, int type1, int hybrid_node_num);
+int get_hybrid_2d_stage_num_new(int type0, int type1, int hybrid_node_num0,
+ int hybrid_node_num1);
+int get_hybrid_amplify_factor(int type, int hybrid_node_num);
+void gen_hybrid_graph_1d(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int hybrid_node_num, int type);
+void gen_hybrid_graph_2d(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int hybrid_node_num, int type0,
+ int type1);
+void gen_hybrid_graph_2d_new(Node *node, int stage_num, int node_num,
+ int stage_idx, int node_idx, int hybrid_node_num0,
+ int hybrid_node_num1, int type0, int type1);
+
+void reference_hybrid_2d(double *in, double *out, int size, int type0,
+ int type1);
+
+void reference_hybrid_2d_new(double *in, double *out, int size0, int size1,
+ int type0, int type1);
+void reference_adst_dct_2d(double *in, double *out, int size);
+
+void gen_code(Node *node, int stage_num, int node_num, TYPE_TXFM type);
+
+void gen_inv_graph(Node *node, int stage_num, int node_num, Node *invNode,
+ int inv_stage_num, int inv_node_num, int inv_stage_idx,
+ int inv_node_idx);
+
+TYPE_TXFM hybrid_char_to_int(char ctype);
+
+int64_t round_shift(int64_t value, int bit);
+void round_shift_array(int32_t *arr, int size, int bit);
+void estimate_value(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int estimate_bit);
+void amplify_value(Node *node, int stage_num, int node_num, int stage_idx,
+ int node_idx, int estimate_bit);
+void propagate_estimate_amlify(Node *node, int stage_num, int node_num,
+ int stage_idx, int amplify_bit,
+ int estimate_bit);
+#endif // AOM_TOOLS_TXFM_ANALYZER_TXFM_GRAPH_H_
generated by cgit v1.2.3 (git 2.39.1) at 2024-11-18 05:33:46 +0000