bsplinesclass Module Reference

Data Types
type	bsplines
interface	evalinterface
type	bsplinescardinaldegree1
type	bsplinescardinaldegree2
type	bsplinescardinaldegree3
type	bsplinescardinaldegree4
type	bsplinesboundeddegree3
type	bsplinesboundeddegree4

Functions/Subroutines
subroutine	eval1 (this, bik, ai, i, pos)
subroutine	eval1d (this, bik, ai, i, pos)
subroutine	eval2 (this, bik, ai, i, pos)
subroutine	eval2d (this, bik, ai, i, pos)
subroutine	eval3 (this, bik, ai, i, pos)
subroutine	eval3d (this, bik, ai, i, pos)
subroutine	eval4 (this, bik, ai, i, pos)
subroutine	eval4d (this, bik, ai, i, pos)
subroutine	beval4 (this, bik, ai, i, pos)
subroutine	beval4d (this, bik, ai, i, pos)
subroutine	beval3 (this, bik, ai, i, pos)
subroutine	beval3d (this, bik, ai, i, pos)

Detailed Description

Author

Julien Dominski

Date

November 2013 (Periodic) - Novembre 2014 (Non periodic)

For periodic dimension, one may uses BSplinesCardinal, where Cardinal stands for uniform BSplines generated from equidistant knots: T={-3,-2,-1,0,1,2,3,4,...}. For non periodic dimension, one may use BSplinesBounded which are generated from the knot sequence: T+{0,0,0,0,1,2,3,4,...}

The documentations of reference which I (JD) used are:

• "B(asic)-Spline Basics" Carl de Boor, for B-Splines
• "Theory and Applications of Gaussian Quadrature Methods" Narayan Kovvali, for gauss quadrature
• "Numerical Recipes in Fortran" for the estimate of gauss-legendre's nodes and weight.

Function/Subroutine Documentation

beval3()

subroutine bsplinesclass::beval3 ( class(bsplinesboundeddegree3) this, real(kind=r8), dimension(:), intent(inout) bik, real(kind=r8), intent(in) ai, integer, intent(in) i, integer, dimension(:), intent(inout) pos )

private

beval3d()

subroutine bsplinesclass::beval3d ( class(bsplinesboundeddegree3) this, real(kind=r8), dimension(:), intent(inout) bik, real(kind=r8), intent(in) ai, integer, intent(in) i, integer, dimension(:), intent(inout) pos )

private

beval4()

subroutine bsplinesclass::beval4 ( class(bsplinesboundeddegree4) this, real(kind=r8), dimension(:), intent(inout) bik, real(kind=r8), intent(in) ai, integer, intent(in) i, integer, dimension(:), intent(inout) pos )

private

beval4d()

subroutine bsplinesclass::beval4d ( class(bsplinesboundeddegree4) this, real(kind=r8), dimension(:), intent(inout) bik, real(kind=r8), intent(in) ai, integer, intent(in) i, integer, dimension(:), intent(inout) pos )

private

eval1()

subroutine bsplinesclass::eval1	(	class(bsplinescardinaldegree1)	this,
		real(kind=r8), dimension(:), intent(inout)	bik,
		real(kind=r8), intent(in)	ai,
		integer, intent(in)	i,
		integer, dimension(:), intent(inout)	pos )

eval1d()

subroutine bsplinesclass::eval1d ( class(bsplinescardinaldegree1) this, real(kind=r8), dimension(:), intent(inout) bik, real(kind=r8), intent(in) ai, integer, intent(in) i, integer, dimension(:), intent(inout) pos )

private

eval2()

subroutine bsplinesclass::eval2 ( class(bsplinescardinaldegree2) this, real(kind=r8), dimension(:), intent(inout) bik, real(kind=r8), intent(in) ai, integer, intent(in) i, integer, dimension(:), intent(inout) pos )

private

eval2d()

subroutine bsplinesclass::eval2d ( class(bsplinescardinaldegree2) this, real(kind=r8), dimension(:), intent(inout) bik, real(kind=r8), intent(in) ai, integer, intent(in) i, integer, dimension(:), intent(inout) pos )

private

eval3()

subroutine bsplinesclass::eval3 ( class(bsplinescardinaldegree3) this, real(kind=r8), dimension(:), intent(inout) bik, real(kind=r8), intent(in) ai, integer, intent(in) i, integer, dimension(:), intent(inout) pos )

private

eval3d()

subroutine bsplinesclass::eval3d ( class(bsplinescardinaldegree3) this, real(kind=r8), dimension(:), intent(inout) bik, real(kind=r8), intent(in) ai, integer, intent(in) i, integer, dimension(:), intent(inout) pos )

private

eval4()

subroutine bsplinesclass::eval4 ( class(bsplinescardinaldegree4) this, real(kind=r8), dimension(:), intent(inout) bik, real(kind=r8), intent(in) ai, integer, intent(in) i, integer, dimension(:), intent(inout) pos )

private

eval4d()

subroutine bsplinesclass::eval4d ( class(bsplinescardinaldegree4) this, real(kind=r8), dimension(:), intent(inout) bik, real(kind=r8), intent(in) ai, integer, intent(in) i, integer, dimension(:), intent(inout) pos )

private