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benches, optimizations for sin and cos

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veclavtlica
2026-09-13 17:59:20 +03:00
parent 6d7fe7392a
commit 739237575a
8 changed files with 218 additions and 65 deletions
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Common/Timer/timer.h
+14
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@@ -0,0 +1,14 @@
#ifndef COM_TIMER_H
#define COM_TIMER_H
#include "../def.h"
#include <stdint.h>
/* Global monotonic counter, meaning it always increases. Not applicable for
* getting "real" time, which the game shouldn't be aware of anyways. */
uint64_t com_timer_count_ns(void);
/* Output elapsed time against previous com_timer_count_ns() result. */
void com_timer_profile(uint64_t starttime, const char *what);
#endif
Common/Timer/unix.c
+17
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@@ -0,0 +1,17 @@
#include "timer.h"
#include <stdint.h>
#include <stdio.h>
#define __USE_POSIX199309 1
#include <time.h>
uint64_t com_timer_count_ns(void) {
struct timespec time;
clock_gettime(CLOCK_MONOTONIC, &time);
return time.tv_sec * 1000000000 + time.tv_nsec;
}
void com_timer_profile(uint64_t starttime, const char *what) {
uint64_t const endtime = com_timer_count_ns();
uint64_t const diff = endtime - starttime;
printf("profile \"%s\" took %fms\n", what, (double)diff / 1000000);
}
Common/def.h
+3
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@@ -10,10 +10,13 @@
#define COM_DEF_COMPILE_MODERN 1
#endif
/* TODO: uppercase? */
#ifdef COM_DEF_COMPILE_MODERN
#define com_def_alignedas(v_as) _Alignas(v_as)
#else
#define com_def_alignedas(v_as)
#endif
#define COM_DEF_PROFILE_VAR volatile
#endif
Common/fixed.c
+98 -32
View File
@@ -4,6 +4,8 @@
*/
#include "fixed.h"
#include "Timer/timer.h"
#include "def.h"
#include <assert.h>
#include <stdbool.h>
#include <stdint.h>
@@ -16,6 +18,7 @@ static const uint32_t com_fixed_sqrt_lut[16] = {
46340, 49547, 52521, 55314, 57954, 60464, 62862, 65161,
67373, 69508, 71572, 73572, 75514, 77402, 79240, 81033};
/* TODO: Test performance of uint_fast16_t here. */
/* Used for other quadrants as well as cosine eval, all from the same table. */
/* Only fractional part is present, reducing the cache footprint. */
const uint16_t com_fixed_sin_lut[128] = {
@@ -92,39 +95,102 @@ void com_fixed_print(com_fixed_t a) {
printf("%d.%04u\n", int_part, decimal_val);
}
void com_fixed_run_tests(void) {
com_fixed_print(com_fixed_sqrt(COM_FIXED_FRACUNIT * 2));
com_fixed_print(com_fixed_sqrt(COM_FIXED_FRACUNIT * 3));
com_fixed_print(com_fixed_sqrt(COM_FIXED_FRACUNIT * 4));
com_fixed_print(com_fixed_sqrt(COM_FIXED_FRACUNIT * 200));
com_fixed_print(com_fixed_sqrt(COM_FIXED_FRACUNIT * 1000));
com_fixed_print(COM_FIXED_PI);
com_fixed_print(com_fixed_div(COM_FIXED_PI + 234, COM_FIXED_PI2) << 2);
double max_sin_deviation = 0.0f;
com_fixed_t sin_accumulator = -COM_FIXED_PI * 4;
com_fixed_t sin_test_step = (COM_FIXED_PI << 1) >> 10;
for (int i = 0; i < 1024 * 32; ++i) {
com_fixed_t sin = com_fixed_sin(sin_accumulator);
double deviation = fabs(sin(com_fixed_as_float(sin_accumulator)) -
com_fixed_as_float(sin));
if (deviation > max_sin_deviation)
max_sin_deviation = deviation;
sin_accumulator += sin_test_step;
void com_fixed_run_bench(void) {
uint64_t start = com_timer_count_ns();
for (int i = 5000000; i--;) {
COM_DEF_PROFILE_VAR com_fixed_t sqrt = com_fixed_sqrt(i);
}
printf("max sin deviation: %f\n", max_sin_deviation);
com_timer_profile(start, "fixed: sqrt");
double max_cos_deviation = 0.0f;
com_fixed_t cos_accumulator = -COM_FIXED_PI * 4;
com_fixed_t cos_test_step = (COM_FIXED_PI << 1) >> 10;
for (int i = 0; i < 1024 * 32; ++i) {
com_fixed_t cos = com_fixed_cos(cos_accumulator);
double deviation = fabs(cos(com_fixed_as_float(cos_accumulator)) -
com_fixed_as_float(cos));
if (deviation > max_cos_deviation)
max_cos_deviation = deviation;
cos_accumulator += cos_test_step;
start = com_timer_count_ns();
for (int i = 50000000; i--;) {
COM_DEF_PROFILE_VAR com_fixed_t sin = com_fixed_sin(i);
}
com_timer_profile(start, "fixed: sin");
start = com_timer_count_ns();
for (int i = 50000000; i--;) {
COM_DEF_PROFILE_VAR com_fixed_t cos = com_fixed_cos(i);
}
com_timer_profile(start, "fixed: cos");
start = com_timer_count_ns();
for (int i = 50000000; i--;) {
com_fixed_t sin, cos;
com_fixed_sincos(i, &sin, &cos);
COM_DEF_PROFILE_VAR com_fixed_t sinv = sin;
COM_DEF_PROFILE_VAR com_fixed_t cosv = cos;
}
com_timer_profile(start, "fixed: sincos");
}
void com_fixed_run_tests(void) {
{
double max_sqrt_deviation = 0.0f;
com_fixed_t sqrt_accumulator = 0;
com_fixed_t sqrt_test_step = COM_FIXED_FRACUNIT >> 2; /* Quarter step */
for (int i = 0; i < COM_FIXED_FRACUNIT << 1; ++i) {
com_fixed_t sqrt = com_fixed_sqrt(sqrt_accumulator);
double const deviation =
sqrt(com_fixed_as_float(sqrt_accumulator)) - com_fixed_as_float(sqrt);
if (deviation > max_sqrt_deviation)
max_sqrt_deviation = deviation;
sqrt_accumulator += sqrt_test_step;
}
printf("max sqrt deviation: %f\n", max_sqrt_deviation);
}
{
double max_sin_deviation = 0.0f;
com_fixed_t sin_accumulator = -COM_FIXED_PI * 4;
com_fixed_t sin_test_step = (COM_FIXED_PI << 1) >> 10;
for (int i = 0; i < 1024 * 32; ++i) {
com_fixed_t sin = com_fixed_sin(sin_accumulator);
double const deviation = fabs(sin(com_fixed_as_float(sin_accumulator)) -
com_fixed_as_float(sin));
if (deviation > max_sin_deviation)
max_sin_deviation = deviation;
sin_accumulator += sin_test_step;
}
printf("max sin deviation: %f\n", max_sin_deviation);
}
{
double max_cos_deviation = 0.0f;
com_fixed_t cos_accumulator = -COM_FIXED_PI * 4;
com_fixed_t cos_test_step = (COM_FIXED_PI << 1) >> 10;
for (int i = 0; i < 1024 * 32; ++i) {
com_fixed_t cos = com_fixed_cos(cos_accumulator);
double const deviation = fabs(cos(com_fixed_as_float(cos_accumulator)) -
com_fixed_as_float(cos));
if (deviation > max_cos_deviation)
max_cos_deviation = deviation;
cos_accumulator += cos_test_step;
}
printf("max cos deviation: %f\n", max_cos_deviation);
}
{
double max_sin_deviation = 0.0f;
double max_cos_deviation = 0.0f;
com_fixed_t sincos_accumulator = -COM_FIXED_PI * 4;
com_fixed_t sincos_test_step = (COM_FIXED_PI << 1) >> 10;
for (int i = 0; i < 1024 * 32; ++i) {
com_fixed_t sin, cos;
com_fixed_sincos(sincos_accumulator, &sin, &cos);
double const sin_deviation =
fabs(sin(com_fixed_as_float(sincos_accumulator)) -
com_fixed_as_float(sin));
double const cos_deviation =
fabs(cos(com_fixed_as_float(sincos_accumulator)) -
com_fixed_as_float(cos));
if (sin_deviation > max_sin_deviation)
max_sin_deviation = sin_deviation;
if (cos_deviation > max_cos_deviation)
max_cos_deviation = cos_deviation;
sincos_accumulator += sincos_test_step;
}
printf("max sincos deviations: %f %f\n", max_sin_deviation,
max_cos_deviation);
}
printf("max cos deviation: %f\n", max_cos_deviation);
}
Common/fixed.h
+66 -20
View File
@@ -23,6 +23,11 @@ typedef int32_t com_fixed_t;
extern const uint16_t com_fixed_sin_lut[128];
void com_fixed_print(com_fixed_t a);
void com_fixed_run_tests(void);
void com_fixed_run_bench(void);
static inline com_fixed_t com_fixed_add(com_fixed_t a, com_fixed_t b) {
return a + b;
}
@@ -47,6 +52,16 @@ static inline double com_fixed_as_float(com_fixed_t a) {
(a & 0xFFFF) * (double)(1.0 / COM_FIXED_FRACUNIT);
}
/* Branchless floor operation. */
/* TODO: Check against simpler branching implementation. */
static inline com_fixed_t com_fixed_floor(com_fixed_t const a) {
int32_t const sign = a >> 31;
int32_t const frac_mask = (1 << COM_FIXED_FRACBITS) - 1;
int32_t const has_fraction = ((a & frac_mask) != 0);
int32_t const truncated = a & ~frac_mask;
return truncated - ((sign & has_fraction) << COM_FIXED_FRACBITS);
}
/* Approximated square root by Newton-Raphson in 2 iterations over small LUT. */
com_fixed_t com_fixed_sqrt(com_fixed_t a);
@@ -55,29 +70,26 @@ com_fixed_t com_fixed_sqrt(com_fixed_t a);
/* things like camera movement can be jarring if done without.*/
/* https://namoseley.wordpress.com/2015/07/26/sincos-generation-using-table-lookup-and-iterpolation/
*/
static inline com_fixed_t com_fixed_sin(com_fixed_t a) {
int32_t sign = 1;
static inline com_fixed_t com_fixed_sin(com_fixed_t q) {
/* Wrap to (-Pi2,+Pi2) */
com_fixed_t q = a % COM_FIXED_PI2;
q %= COM_FIXED_PI2;
/* Wrap to [0,+Pi2) */
if (q < 0)
q = COM_FIXED_PI2 + q;
q += COM_FIXED_PI2;
/* Limit to [0,+1) */
q = com_fixed_div(q, COM_FIXED_PI2);
/* Handle cases of 3rd and 4th quadrant. */
/* Handle cases of 3rd and 4th quadrant separately. */
if (q >= COM_FIXED_FRACHALF) {
q -= COM_FIXED_FRACHALF;
sign = -1;
q %= COM_FIXED_FRACHALF;
uint16_t const idx = q >= COM_FIXED_FRACQRTR ? 255 - (q >> 7) : q >> 7;
return -com_fixed_sin_lut[idx];
} else {
uint16_t const idx = q >= COM_FIXED_FRACQRTR ? 255 - (q >> 7) : q >> 7;
return com_fixed_sin_lut[idx];
}
/* Finally clculate the index into LUT. */
uint16_t const idx = q >= COM_FIXED_FRACQRTR ? 255 - (q >> 7) : q >> 7;
return com_fixed_sin_lut[idx] * sign;
}
/* Implemented over sin, as to share one single LUT. */
@@ -87,14 +99,48 @@ static inline com_fixed_t com_fixed_cos(com_fixed_t a) {
return com_fixed_sin(a + COM_FIXED_PIHALF);
}
static inline void com_fixed_sincos(com_fixed_t a, com_fixed_t *restrict s,
com_fixed_t *restrict c) {
*s = com_fixed_sin(a);
*c = com_fixed_cos(a);
/* Combines calculation of both in a more optimal way. */
static inline void com_fixed_sincos(com_fixed_t q, com_fixed_t *s,
com_fixed_t *c) {
q %= COM_FIXED_PI2;
if (q < 0)
q += COM_FIXED_PI2;
q = com_fixed_div(q, COM_FIXED_PI2);
/* Sadly, compilers are dumb and branching case is determined to be
* significantly faster in profiling. */
#define CASE(m_sin_sign, m_cos_sign) \
uint16_t const idx = q >= COM_FIXED_FRACQRTR ? 255 - (q >> 7) : q >> 7; \
*s = m_sin_sign * com_fixed_sin_lut[idx]; \
*c = m_cos_sign * com_fixed_sin_lut[((uint8_t)127 - (uint8_t)idx) % 128]
/* Handle cases of 2rd and 3th quadrant separately, for minus cos. */
if (q >= COM_FIXED_FRACHALF / 2 &&
q < COM_FIXED_FRACHALF + COM_FIXED_FRACHALF / 2) {
/* Handle cases of 3rd and 4th quadrant separately, for minus sin. */
if (q >= COM_FIXED_FRACHALF) {
q %= COM_FIXED_FRACHALF;
CASE(-1, -1);
} else {
CASE(+1, -1);
}
} else {
/* Handle cases of 3rd and 4th quadrant separately, for minus sin. */
if (q >= COM_FIXED_FRACHALF) {
q %= COM_FIXED_FRACHALF;
CASE(-1, 1);
} else {
CASE(+1, 1);
}
}
#undef CASE
}
void com_fixed_print(com_fixed_t a);
void com_fixed_run_tests(void);
static inline com_fixed_t com_fixed_tan(com_fixed_t a) {
com_fixed_t s, c;
com_fixed_sincos(a, &s, &c);
return com_fixed_div(s, c);
}
#endif
Common/mat.h
+13 -10
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@@ -170,18 +170,21 @@ static inline com_mat_t com_mat_perspective(uint16_t rwidth, uint16_t rheight,
com_fixed_t fov) {
com_mat_t result = {0};
// com_fixed_t const aspect = com_fixed_div(rwidth, rheight);
com_fixed_t const aspect =
com_fixed_div(rwidth * COM_FIXED_FRACUNIT, rheight * COM_FIXED_FRACUNIT);
com_fixed_t const f =
com_fixed_div(COM_FIXED_FRACUNIT,
com_fixed_tan(com_fixed_mul(fov, COM_FIXED_FRACHALF)));
com_fixed_t const fn = com_fixed_div(COM_FIXED_FRACUNIT, (nearz - farz));
// const float f = 1.0f / tanf(camera->fov * 0.5f);
// const float fn = 1.0f / (CAMERA_NEAR_Z - camera->far_z);
result.a[0 * 4 + 0] = com_fixed_div(f, aspect);
result.a[1 * 4 + 1] = f;
result.a[2 * 4 + 2] = (nearz + farz) * fn;
result.a[2 * 4 + 3] = -COM_FIXED_FRACUNIT;
result.a[3 * 4 + 2] =
(COM_FIXED_FRACUNIT * 2) * com_fixed_mul(com_fixed_mul(nearz, farz), fn);
// result.row[0].x = f / aspect;
// result.row[1].y = f;
// result.row[2].z = (CAMERA_NEAR_Z + camera->far_z) * fn;
// result.row[2].w = -1.0f;
// result.row[3].z = 2.0f * CAMERA_NEAR_Z * camera->far_z * fn;
// return result;
return result;
}
#endif
Player/Display/x11.c
+1
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@@ -42,6 +42,7 @@ extern int plr_display_x11_main(int argc, char *argv[]) {
com_fixed_print(v0.a[0]);
com_fixed_run_tests();
com_fixed_run_bench();
Display *display = XOpenDisplay(NULL);
if (NULL == display) {
Player/Makefile
+6 -3
View File
@@ -1,8 +1,11 @@
CC=clang
CFLAGS=-lX11 -Wall -std=c99 -g3 -O3 -fno-inline -msse2 -lm
DEPS = Display/display.h ../Common/lzw.h ../Common/mat.h ../Common/vec.h ../Common/fixed.h ../Common/def.h ../Common/bits.h
# todo: Only link to libm on debug.
CFLAGS=-lX11 -Wall -std=c99 -g3 -O3 -msse2 -lm
DEPS = ../Common/lzw.h ../Common/mat.h ../Common/vec.h ../Common/fixed.h ../Common/def.h ../Common/bits.h \
../Common/Timer/timer.h \
./Display/display.h
OBJ = ../Common/lzw.o ../Common/fixed.o
LINUX = main.o Display/x11.o
LINUX = main.o Display/x11.o ../Common/Timer/unix.o
DOS = maindos.c Display/dos.c
%.o: %.c $(DEPS)