orthogonalise_arithmetic()

template<typename T , typename Iterator >

void syten::orthogonalise_arithmetic	(	T &	vec,
		Iterator	first,
		Iterator	last,
		bool	assume_norm_one = false,
		Truncation const &	trunc = Truncation()
	)

Generic implementation of orthogonalisation against a set of vectors using Gram-Schmidt orthogonalisation.

Attempts to use the truncating implementation if possible, otherwise the generic one.

Parameters

[in,out]	vec	input vector which is to be orthogonalised and output orthogonal vector
[in]	first	iterator pointing to the first element of the range of vectors against which we orthogonalise
[in]	last	iterator pointing one past the end of the range of vectors against which we orthogonalise
[in]	trunc	truncation specification, if applicable
[in]	assume_norm_one	assume that the norm of the orthogonal input vectors is 1.

Remarks

Since this function uses the Gram-Schmidt method, the vectors [*first, *last) need to be orthogonal.

References orthogonalise_arithmetic_imp().

Referenced by orthogonalise_run().

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