slightly smaller fixSin() function (just 14 bytes, maybe they make a difference?)
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@ -211,23 +211,42 @@ inline static fixp_t fixDiv(fixp_interim_t const a, fixp_interim_t const b)
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* @param angle fixed point radian value
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* @return Result of the sine function normalized to a range from -FIX to FIX.
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*/
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static fixp_t fixSin(fixp_t const fAngle)
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static fixp_t fixSin(fixp_t fAngle)
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{
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// convert given angle to its corresponding lookup table quantization step
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ordinary_int_t nNormAng = fAngle / FIX_SIN_DIVIDER;
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// trim that value so that it fits into a range between [0, FIX_SIN_COUNT]
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nNormAng = (nNormAng - (nNormAng / FIX_SIN_COUNT * FIX_SIN_COUNT) +
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FIX_SIN_COUNT) % FIX_SIN_COUNT;
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uint8_t nIndex = nNormAng % (FIX_SIN_COUNT / 2);
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if (nIndex >= (FIX_SIN_COUNT / 4))
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// convert given fixed-point angle to its corresponding quantization step
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int8_t nSign = 1;
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if (fAngle < 0)
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{
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nIndex = (FIX_SIN_COUNT / 2 - 1) - nIndex;
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// take advantage of sin(-x) == -sin(x) to avoid neg. operands for "%"
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fAngle = -fAngle;
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nSign = -1;
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}
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uint8_t nIndex = (fAngle / FIX_SIN_DIVIDER) % FIX_SIN_COUNT;
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// now convert that quantization step to an index of our quartered array
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if ((nIndex >= (FIX_SIN_COUNT / 4)))
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{
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if (nIndex < (FIX_SIN_COUNT / 2))
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{
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nIndex = (FIX_SIN_COUNT / 2 - 1) - nIndex;
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}
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else
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{
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// an angle > PI means that we have to toggle the sign of the result
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nSign *= -1;
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if (nIndex < (FIX_SIN_COUNT - (FIX_SIN_COUNT / 4)))
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{
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nIndex = nIndex - (FIX_SIN_COUNT / 2);
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}
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else
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{
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nIndex = (FIX_SIN_COUNT - 1) - nIndex;
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}
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}
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}
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assert(nIndex < (FIX_SIN_COUNT / 4));
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return ((fixp_t)fix_sine_lut[nIndex]) *
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(nNormAng < (FIX_SIN_COUNT / 2) ? 1 : -1);
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return ((fixp_t)fix_sine_lut[nIndex]) * nSign;
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}
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