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Working with phasor re-rotation
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#include <stdio.h>
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#include <stdint.h>
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#include <math.h>
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int main()
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{
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int phasor_r = 32768;
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int phasor_i = 0;
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double phasor = 0;
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double omega = 0.1;
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int omega_r = cos( omega ) * 32768;
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int omega_i = sin( omega ) * 32768;
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int i;
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for( i = 0; i < 10000; i++ )
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{
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int32_t temp = (phasor_r * omega_i + phasor_i * omega_r ) >> 15;
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phasor_r = (phasor_r * omega_r - phasor_i * omega_i ) >> 15;
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phasor_i = temp;
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phasor += omega;
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// Approximate sqrt(x*x+y*y)
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#define ABS(x) (((x)<0)?-(x):(x))
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int s = phasor_r * phasor_r + phasor_i * phasor_i;
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int intensity = (ABS(phasor_r) + ABS(phasor_i)) * 26100 / 32768 + 1; // Found experimentally (Also try to avoid divide-by-zero.
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intensity = (intensity + s/intensity)/2;
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intensity = (intensity + s/intensity)/2;
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if( intensity < 32763 )
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{
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phasor_r += phasor_r >> 12;
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phasor_i += phasor_i >> 12;
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}
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double fA = atan2( phasor_i, phasor_r );
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printf( "%6d %6d / %6d %6d / %d / %f %f %f\n", omega_r, omega_i, phasor_r, phasor_i, intensity, fA, phasor, fA-phasor );
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if( phasor >= 3.141592653589 ) phasor -= 3.141592653589*2;
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}
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}
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