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fixed CIE brightness calculation for PWM outputs
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@ -563,19 +563,15 @@ void BusPwm::show() {
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const unsigned maxBri = (1<<_depth); // possible values: 16384 (14), 8192 (13), 4096 (12), 2048 (11), 1024 (10), 512 (9) and 256 (8)
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[[maybe_unused]] const unsigned bitShift = dithering * 4; // if dithering, _depth is 12 bit but LEDC channel is set to 8 bit (using 4 fractional bits)
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// use CIE brightness formula (cubic) to fit (or approximate linearity of) human eye perceived brightness
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// the formula is based on 12 bit resolution as there is no need for greater precision
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// use CIE brightness formula (linear + cubic) to approximate human eye perceived brightness
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// see: https://en.wikipedia.org/wiki/Lightness
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unsigned pwmBri = (unsigned)_bri * 100; // enlarge to use integer math for linear response
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if (pwmBri < 2040) {
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// linear response for values [0-20]
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pwmBri = ((pwmBri << 12) + 115043) / 230087; //adding '0.5' before division for correct rounding
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} else {
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// cubic response for values [21-255]
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pwmBri += 4080;
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float temp = (float)pwmBri / 29580.0f;
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temp = temp * temp * temp * (float)maxBri;
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pwmBri = (unsigned)temp; // pwmBri is in range [0-maxBri]
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unsigned pwmBri = _bri;
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if (pwmBri < 21) { // linear response for values [0-20]
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pwmBri = (pwmBri * maxBri + 2300 / 2) / 2300 ; // adding '0.5' before division for correct rounding, 2300 gives a good match to CIE curve
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} else { // cubic response for values [21-255]
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float temp = float(pwmBri + 41) / float(255 + 41); // 41 is to match offset & slope to linear part
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temp = temp * temp * temp * (float)maxBri;
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pwmBri = (unsigned)temp; // pwmBri is in range [0-maxBri] C
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}
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[[maybe_unused]] unsigned hPoint = 0; // phase shift (0 - maxBri)
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