project.h

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#pragma once

#include <cugar/basic/numbers.h>
#include <cugar/linalg/vector.h>
#include <cugar/spherical/mappings.h>

namespace cugar {

template <typename Basis_type, typename Fun_type>
void project(
    const Basis_type    basis,
    const Fun_type&     fun,
    const float         a,
    const float         b,
    const int32         n_samples,
    float*              coeffs)
{
    const float w = 4.0f * M_PIf / float(n_samples);

    for (int32 s = 0; s < n_samples; ++s)
    {
        Vector2f uv;

        uv[0] = float(s) / float(n_samples);
        uv[1] = radical_inverse(s);

        const Vector3f dir = uniform_square_to_sphere( uv );

        const float f = a*fun( dir ) + b;

        for (int32 i = 0; i < Basis_type::COEFFS; ++i)
            coeffs[i] += Basis_type::eval( i, dir ) * f * w;
    }
}

} // namespace cugar