Jan/WLED_MM_Infinity
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effect math sppedup - up to 3x faster

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-> distortion waves 3x speedup
-> hiphotic 2x speedup
-> waving cell 1.5x speedup

* replace sin8_t by lookup-table with pre-computed values
* moved integer sin and cos to fcn_declare.h (inlined by the compiler)
* moved gamma32 to fcn_declare.h (inlined by the compiler)
* a few other small tweaks
This commit is contained in:
Frank
2025-12-17 21:59:22 +01:00
parent 49e6de33c7
commit bc7cf062e8
7 changed files with 107 additions and 25 deletions
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34
wled00/wled_math.cpp
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@@ -59,10 +59,18 @@ float tan_t(float x) {
}
*/
// WLEDMM: sin16_t() moved to fcn_declare.h (inlining for speed)
// WLEDMM: cos16_t() moved to fcn_declare.h (inlining for speed)
// WLEDMM: sin8_t() moved to fcn_declare.h (inlining for speed)
// WLEDMM: cos8_t() moved to fcn_declare.h (inlining for speed)
// 16-bit, integer based Bhaskara I's sine approximation: 16*x*(pi - x) / (5*pi^2 - 4*x*(pi - x))
// input is 16bit unsigned (0-65535), output is 16bit signed (-32767 to +32767)
// optimized integer implementation by @dedehai
int16_t sin16_t(uint16_t theta) {
static int16_t sin16_calc(uint16_t theta) {
int scale = 1;
if (theta > 0x7FFF) {
theta = 0xFFFF - theta;
@@ -75,30 +83,34 @@ int16_t sin16_t(uint16_t theta) {
return result * scale;
}
int16_t cos16_t(uint16_t theta) {
return sin16_t(theta + 0x4000); //cos(x) = sin(x+pi/2)
}
uint8_t sin8_t(uint8_t theta) {
int32_t sin16 = sin16_t((uint16_t)theta * 257); // 255 * 257 = 0xFFFF
#if defined(ARDUINO_ARCH_ESP32)
static uint8_t sin8_calc(uint8_t theta) {
int32_t sin16 = sin16_calc((uint16_t)theta * 257); // 255 * 257 = 0xFFFF
sin16 += 0x7FFF + 128; //shift result to range 0-0xFFFF, +128 for rounding
return min(sin16, int32_t(0xFFFF)) >> 8; // min performs saturation, and prevents overflow
}
uint8_t cos8_t(uint8_t theta) {
return sin8_t(theta + 64); //cos(x) = sin(x+pi/2)
// WLEDMM: pre-calculate lookup-table for sin8_t
uint8_t DRAM_ATTR sinT[256];
void init_math(void) {
for (unsigned i = 0; i < 256; i++)
sinT[i] = sin8_calc(i);
}
#else
void init_math(void) { return;} // dummy for 8266
#endif
float sin_approx(float theta) {
uint16_t scaled_theta = (int)(theta * (float)(0xFFFF / M_TWOPI)); // note: do not cast negative float to uint! cast to int first (undefined on C3)
int32_t result = sin16_t(scaled_theta);
int32_t result = sin16_calc(scaled_theta);
float sin = float(result) / 0x7FFF;
return sin;
}
float cos_approx(float theta) {
uint16_t scaled_theta = (int)(theta * (float)(0xFFFF / M_TWOPI)); // note: do not cast negative float to uint! cast to int first (undefined on C3)
int32_t result = sin16_t(scaled_theta + 0x4000);
int32_t result = sin16_calc(scaled_theta + 0x4000);
float cos = float(result) / 0x7FFF;
return cos;
}