ex37.cpp File Reference

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Functions
real_t	proj (GridFunction &psi, real_t target_volume, real_t tol=1e-12, int max_its=10)
	Bregman projection of ρ = sigmoid(ψ) onto the subspace ∫_Ω ρ dx = θ vol(Ω) as follows:
int	main (int argc, char *argv[])

Function Documentation

main()

int main	(	int	argc,
		char *	argv[] )

Definition at line 177 of file ex37.cpp.

proj()

real_t proj	(	GridFunction &	psi,
		real_t	target_volume,
		real_t	tol = 1e-12,
		int	max_its = 10 )

Bregman projection of ρ = sigmoid(ψ) onto the subspace ∫_Ω ρ dx = θ vol(Ω) as follows:

1. Compute the root of the R → R function f(c) = ∫_Ω sigmoid(ψ + c) dx - θ vol(Ω)
2. Set ψ ← ψ + c.

Parameters

psi	a GridFunction to be updated
target_volume	θ vol(Ω)
tol	Newton iteration tolerance
max_its	Newton maximum iteration number

Returns

real_t Final volume, ∫_Ω sigmoid(ψ)

Definition at line 72 of file ex37.cpp.