Spherical Harmonics are templatized on the number of coefficients
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@ -40,7 +40,7 @@ namespace math{
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* imaginary and real parts of the Complex Spherical Harmonic Functions are defined
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* imaginary and real parts of the Complex Spherical Harmonic Functions are defined
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* for positive m only.
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* for positive m only.
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*/
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*/
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template <typename ScalarType>
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template <typename ScalarType, int MAX_BAND>
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class SphericalHarmonics{
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class SphericalHarmonics{
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private :
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private :
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@ -59,8 +59,8 @@ private :
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return scaling_factor(l, m) * Legendre<ScalarType>::AssociatedPolynomial(l, m, Cos(theta), Sin(theta)) * Sin(m * phi);
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return scaling_factor(l, m) * Legendre<ScalarType>::AssociatedPolynomial(l, m, Cos(theta), Sin(theta)) * Sin(m * phi);
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}
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}
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ScalarType * coefficients;
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ScalarType coefficients[MAX_BAND * MAX_BAND];
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int max_band;
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static const int max_band = MAX_BAND;
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public :
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public :
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@ -85,22 +85,19 @@ public :
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typedef ScalarType (*PolarFunction) (ScalarType theta, ScalarType phi);
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typedef ScalarType (*PolarFunction) (ScalarType theta, ScalarType phi);
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static SphericalHarmonics Project(PolarFunction fun, unsigned max_band, unsigned n_samples)
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static SphericalHarmonics Project(PolarFunction fun, unsigned n_samples)
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{
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{
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const ScalarType weight = 4 * M_PI;
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const ScalarType weight = 4 * M_PI;
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unsigned sqrt_n_samples = (unsigned int) Sqrt((int)n_samples);
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unsigned sqrt_n_samples = (unsigned int) Sqrt((int)n_samples);
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unsigned actual_n_samples = sqrt_n_samples * sqrt_n_samples;
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unsigned actual_n_samples = sqrt_n_samples * sqrt_n_samples;
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unsigned n_coeff = max_band * max_band;
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unsigned n_coeff = MAX_BAND * MAX_BAND;
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ScalarType one_over_n = 1.0/(ScalarType)sqrt_n_samples;
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ScalarType one_over_n = 1.0/(ScalarType)sqrt_n_samples;
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RandomGenerator rand;
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RandomGenerator rand;
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SphericalHarmonics sph;
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SphericalHarmonics sph;
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sph.coefficients = new ScalarType[n_coeff];
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sph.max_band = max_band;
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int i = 0;
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int i = 0;
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for (unsigned k = 0; k < n_coeff; k++ ) sph.coefficients[k] = 0;
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for (unsigned k = 0; k < n_coeff; k++ ) sph.coefficients[k] = 0;
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