Speedup C encoder up to 100x

[homm]

All changes are divided by independent commits, some of them are optional.

In addition to improving performance there are changes:

• Do not define M_PI in sources, ensure it defined in math.h.
• Fixed max number of components for blurhash_encoder executable (in line with blurHashForPixels function)
• Improved Makefile to avoid heavy encode_stb recompilation on each change.

Benchmarks are in the comment.

[homm]

I've also implemented SSE and NEON optimizations in separate branch. The last optimization with unrolling loop in multiplyBasisFunction is actually works better since it allows any compiler effectively autovectorize the code. There are benchmarks for 2000 × 1334 jpeg image on different systems:

Intel(R) Core(TM) i5-1038NG7 CPU @ 2.00GHz

Optimization	GCC 13.2.1		Clang 17.0.6
	6 4	9 9	6 4	9 9
Master	3181 ms	11844 ms	3154 ms	11124 ms
sRGBToLinear_cache	381	1507	451	1633
cosX cache	82	339	88	270
Single pass	58	177	62	207
SSE (obsolete)	39	114	42	144
Unroll 4x	30	80	32	85

Apple M1 Pro

Optimization	GCC 13.2.1		Clang 17.0.6		Clang 14.0.3
	6 4	9 9	6 4	9 9	6 4	9 9
Master	1177 ms	4076 ms	1156 ms	4005 ms	1268 ms	4302 ms
sRGBToLinear_cache	212	826	216	839	186	653
cosX cache	44	150	80	271	81	271
Single pass	20	62	32	57	29	70
NEON (obsolete)	27	87	25	80	25	80
Unroll 4x	16	49	15	43	15	42

* Result for M1 Pro was fixed, since previous results was affected by the bug.

[homm]

@DagAgren Are you interested in this improvements?

[homm]

I also improved decoder performance about 14 times using the same techniques: caching cos values, linearTosRGB values and unrolling loops. This improves performance of decoding from 6 Mpx/s to 86 Mpx/s on M1.

$ touch decode.c && make blurhash_decoder && ./blurhash_decoder "W7E-z7oyM{8xM{wKwdMepHrE%LV[OVV@BBS\$r@NaR7OrRQNaMKXm" 640 480 _out.png
Time per 30 execution: 49.532 ms

$ touch decode.c && make blurhash_decoder && ./blurhash_decoder "W7E-z7oyM{8xM{wKwdMepHrE%LV[OVV@BBS\$r@NaR7OrRQNaMKXm" 640 480 _out.png
Time per 30 execution: 3.573 ms

This also introduces very minor change in output result. Nothing that could be noticed by human eye, just different binary output.

The method which I use to measure performance is following:

diff --git forkSrcPrefix/C/encode_stb.c forkDstPrefix/C/encode_stb.c
index 811ca00006b45eaa829bfd267904ac0d0c647884..a95c6a2ff96ee7cdaa9d1b35ef28b063161cf01d 100644
--- forkSrcPrefix/C/encode_stb.c
+++ forkDstPrefix/C/encode_stb.c
@@ -4,6 +4,7 @@
 #include "stb_image.h"
 
 #include <stdio.h>
+#include <time.h>
 
 const char *blurHashForFile(int xComponents, int yComponents,const char *filename);
 
@@ -38,6 +39,14 @@ const char *blurHashForFile(int xComponents, int yComponents,const char *filenam
 
 	const char *hash = blurHashForPixels(xComponents, yComponents, width, height, data, width * 3);
 
+	#define TIMES 30
+	clock_t start = clock();
+    for (int i = 0; i < TIMES; i++) {
+        hash = blurHashForPixels(xComponents, yComponents, width, height, data, width * 3);
+    }
+    double time_ms = (double)(clock() - start) / CLOCKS_PER_SEC / TIMES;
+    printf("Time per %d execution: %.3f ms\n", TIMES, time_ms * 1000);
+
 	stbi_image_free(data);
 
 	return hash;
diff --git forkSrcPrefix/C/decode_stb.c forkDstPrefix/C/decode_stb.c
index dab164e1eaf1a7199a751a5e13f6da7099027bd2..3514f53e6f91dc41253429ea07e594893d536598 100644
--- forkSrcPrefix/C/decode_stb.c
+++ forkDstPrefix/C/decode_stb.c
@@ -3,6 +3,8 @@
 #define STB_IMAGE_WRITE_IMPLEMENTATION
 #include "stb_writer.h"
 
+#include <time.h>
+
 int main(int argc, char **argv) {
 	if(argc < 5) {
 		fprintf(stderr, "Usage: %s hash width height output_file [punch]\n", argv[0]);
@@ -34,6 +36,15 @@ int main(int argc, char **argv) {
 
 	freePixelArray(bytes);
 
+	#define TIMES 30
+	clock_t start = clock();
+    for (int i = 0; i < TIMES; i++) {
+    	uint8_t * tmpbytes = decode(hash, width, height, punch, nChannels);
+    	freePixelArray(tmpbytes);
+    }
+    double time_ms = (double)(clock() - start) / CLOCKS_PER_SEC / TIMES;
+    printf("Time per %d execution: %.3f ms\n", TIMES, time_ms * 1000);
+
 	fprintf(stdout, "Decoded blurhash successfully, wrote PNG file %s\n", output_file);
 	return 0;
 }

[homm]

@DagAgren How can I earn your attention?

[vellnes]

@DagAgren please note that
We will be very grateful for the optimization of the algorithm