more work on spherical projection. testlet for this code
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7b7d5b050e
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3 changed files with 69 additions and 25 deletions
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@ -12,7 +12,7 @@ static T project_tool(T *vertex_value, T *u, T *u0)
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T ret = 0;
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for (int q = 0; q < 3; q++)
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epsilon[q] = 2*c[q] - 1;
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epsilon[q] = -(2*c[q]-1);
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for (int q = 0; q < ProdType::numProducts; q++)
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ret += ProdType::product(u, u0, epsilon, q);
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@ -24,6 +24,12 @@ static T project_tool(T *vertex_value, T *u, T *u0)
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}
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template<typename T>
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static T get_u0(T u0, int epsilon)
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{
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return (epsilon < 0) ? u0 : (1-u0);
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}
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template<typename T>
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struct ProductTerm0
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{
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@ -34,11 +40,12 @@ struct ProductTerm0
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T a = 1;
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for (int r = 0; r < 3; r++)
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a *= (epsilon[r] < 0) ? u0[r] : (1-u0[r]);
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a *= get_u0(u0[r], epsilon[r]);
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return a;
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}
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};
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template<typename T>
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struct ProductTerm1
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{
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@ -51,12 +58,12 @@ struct ProductTerm1
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for (int r = 0; r < 3; r++)
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{
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G[r] = (epsilon[r] < 0) ? u0[r] : (1-u0[r]);
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G[r] = get_u0(u0[r], epsilon[r]);
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}
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double F[3] = { G[0]*u[1]*u[2], u[0]*G[1]*u[2], u[0]*u[1]*G[2] };
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double F[3] = { G[1]*G[2], G[0]*G[2], G[0]*G[1] };
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return F[q] * epsilon[q];
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return F[q] * u[q] * epsilon[q];
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}
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};
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@ -72,16 +79,17 @@ struct ProductTerm2
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for (int r = 0; r < 3; r++)
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{
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G[r] = (epsilon[r] < 0) ? u0[r] : (1-u0[r]);
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G[r] = get_u0(u0[r], epsilon[r]);
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}
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double F[3] = { u[0]*G[1]*G[2], G[0]*u[1]*G[2], G[0]*G[1]*u[2] };
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double F[3] = { epsilon[1]*epsilon[2]*u[1]*u[2], epsilon[0]*epsilon[2]*u[0]*u[2], epsilon[0]*epsilon[1]*u[0]*u[1] };
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return F[q] * epsilon[q];
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return F[q] * G[q];
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}
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};
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template<typename T>
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struct ProductTerm3
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{
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@ -89,9 +97,7 @@ struct ProductTerm3
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static T product(T *u, T *u0, int *epsilon, int q)
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{
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T a = 1;
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return epsilon[0]*epsilon[1]*epsilon[2];
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return epsilon[0]*epsilon[1]*epsilon[2]*u[0]*u[1]*u[2];
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}
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};
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@ -103,8 +109,8 @@ T compute_projection(T *vertex_value, T *u, T *u0, T rho)
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ret = project_tool<T, ProductTerm0<T> >(vertex_value, u, u0) * rho;
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ret += project_tool<T, ProductTerm1<T> >(vertex_value, u, u0) * rho * rho / 2;
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ret += project_tool<T, ProductTerm2<T> >(vertex_value, u, u0) * rho * rho * rho / 3;
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ret += project_tool<T, ProductTerm3<T> >(vertex_value, u, u0) * rho * rho * rho * rho / 4;
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// ret += project_tool<T, ProductTerm2<T> >(vertex_value, u, u0) * rho * rho * rho / 3;
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// ret += project_tool<T, ProductTerm3<T> >(vertex_value, u, u0) * rho * rho * rho * rho / 4;
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return ret;
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}
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