ax_helm_cpu Module Reference

Data Types
type	ax_helm_cpu_t
	CPU matrix-vector product for a Helmholtz problem. More...

Functions/Subroutines
subroutine	ax_helm_compute (w, u, coef, msh, xh)
	Compute the product.
subroutine	ax_helm_lx (w, u, dx, dy, dz, dxt, dyt, dzt, h1, g11, g22, g33, g12, g13, g23, n, lx)
	Generic CPU kernel for the Helmholz matrix-vector product.
subroutine	ax_helm_lx14 (w, u, dx, dy, dz, dxt, dyt, dzt, h1, g11, g22, g33, g12, g13, g23, n)
subroutine	ax_helm_lx13 (w, u, dx, dy, dz, dxt, dyt, dzt, h1, g11, g22, g33, g12, g13, g23, n)
subroutine	ax_helm_lx12 (w, u, dx, dy, dz, dxt, dyt, dzt, h1, g11, g22, g33, g12, g13, g23, n)
subroutine	ax_helm_lx11 (w, u, dx, dy, dz, dxt, dyt, dzt, h1, g11, g22, g33, g12, g13, g23, n)
subroutine	ax_helm_lx10 (w, u, dx, dy, dz, dxt, dyt, dzt, h1, g11, g22, g33, g12, g13, g23, n)
subroutine	ax_helm_lx9 (w, u, dx, dy, dz, dxt, dyt, dzt, h1, g11, g22, g33, g12, g13, g23, n)
subroutine	ax_helm_lx8 (w, u, dx, dy, dz, dxt, dyt, dzt, h1, g11, g22, g33, g12, g13, g23, n)
subroutine	ax_helm_lx7 (w, u, dx, dy, dz, dxt, dyt, dzt, h1, g11, g22, g33, g12, g13, g23, n)
subroutine	ax_helm_lx6 (w, u, dx, dy, dz, dxt, dyt, dzt, h1, g11, g22, g33, g12, g13, g23, n)
subroutine	ax_helm_lx5 (w, u, dx, dy, dz, dxt, dyt, dzt, h1, g11, g22, g33, g12, g13, g23, n)
subroutine	ax_helm_lx4 (w, u, dx, dy, dz, dxt, dyt, dzt, h1, g11, g22, g33, g12, g13, g23, n)
subroutine	ax_helm_lx3 (w, u, dx, dy, dz, dxt, dyt, dzt, h1, g11, g22, g33, g12, g13, g23, n)
subroutine	ax_helm_lx2 (w, u, dx, dy, dz, dxt, dyt, dzt, h1, g11, g22, g33, g12, g13, g23, n)

Function/Subroutine Documentation

ax_helm_compute()

subroutine ax_helm_cpu::ax_helm_compute	(	real(kind=rp), dimension(xh%lx, xh%ly, xh%lz, msh%nelv), intent(inout)	w,
		real(kind=rp), dimension(xh%lx, xh%ly, xh%lz, msh%nelv), intent(inout)	u,
		type(coef_t), intent(inout)	coef,
		type(mesh_t), intent(inout)	msh,
		type(space_t), intent(inout)	xh
	)

Parameters

w	Vector of size (lx,ly,lz,nelv).
u	Vector of size (lx,ly,lz,nelv).
coef	Coefficients.
msh	Mesh.
Xh	Function space \( X_h \).

Note

Since this is a performance-crtical routine, it is implemented in several kernels corresponding to different polynmial orders.

Definition at line 60 of file ax_helm_cpu.f90.

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ax_helm_lx()

subroutine ax_helm_cpu::ax_helm_lx ( real(kind=rp), dimension(lx, lx, lx, n), intent(inout)  w, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  u, real(kind=rp), dimension(lx,lx), intent(in)  dx, real(kind=rp), dimension(lx,lx), intent(in)  dy, real(kind=rp), dimension(lx,lx), intent(in)  dz, real(kind=rp), dimension(lx,lx), intent(in)  dxt, real(kind=rp), dimension(lx,lx), intent(in)  dyt, real(kind=rp), dimension(lx,lx), intent(in)  dzt, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  h1, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g11, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g22, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g33, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g12, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g13, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g23, integer, intent(in)  n, integer, intent(in)  lx  )

private

Parameters

w	Result.
u	Velocity field.
Dx	Derivative operator in first dimension.
Dy	Derivative operator in second dimension.
Dz	Derivative operator in third dimension.
Dxt	Derivative operator transpose in first dimension.
Dyt	Derivative operator transpose in second dimension.
Dzt	Derivative operator transpose in third dimension.
G11	Geometric factor.
n	Number of elements.
lx	Polynomial order.

Definition at line 144 of file ax_helm_cpu.f90.

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ax_helm_lx10()

subroutine ax_helm_cpu::ax_helm_lx10 ( real(kind=rp), dimension(lx, lx, lx, n), intent(inout)  w, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  u, real(kind=rp), dimension(lx,lx), intent(in)  dx, real(kind=rp), dimension(lx,lx), intent(in)  dy, real(kind=rp), dimension(lx,lx), intent(in)  dz, real(kind=rp), dimension(lx,lx), intent(in)  dxt, real(kind=rp), dimension(lx,lx), intent(in)  dyt, real(kind=rp), dimension(lx,lx), intent(in)  dzt, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  h1, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g11, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g22, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g33, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g12, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g13, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g23, integer, intent(in)  n  )

private

Definition at line 883 of file ax_helm_cpu.f90.

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ax_helm_lx11()

subroutine ax_helm_cpu::ax_helm_lx11 ( real(kind=rp), dimension(lx, lx, lx, n), intent(inout)  w, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  u, real(kind=rp), dimension(lx,lx), intent(in)  dx, real(kind=rp), dimension(lx,lx), intent(in)  dy, real(kind=rp), dimension(lx,lx), intent(in)  dz, real(kind=rp), dimension(lx,lx), intent(in)  dxt, real(kind=rp), dimension(lx,lx), intent(in)  dyt, real(kind=rp), dimension(lx,lx), intent(in)  dzt, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  h1, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g11, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g22, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g33, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g12, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g13, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g23, integer, intent(in)  n  )

private

Definition at line 735 of file ax_helm_cpu.f90.

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ax_helm_lx12()

subroutine ax_helm_cpu::ax_helm_lx12 ( real(kind=rp), dimension(lx, lx, lx, n), intent(inout)  w, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  u, real(kind=rp), dimension(lx,lx), intent(in)  dx, real(kind=rp), dimension(lx,lx), intent(in)  dy, real(kind=rp), dimension(lx,lx), intent(in)  dz, real(kind=rp), dimension(lx,lx), intent(in)  dxt, real(kind=rp), dimension(lx,lx), intent(in)  dyt, real(kind=rp), dimension(lx,lx), intent(in)  dzt, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  h1, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g11, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g22, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g33, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g12, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g13, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g23, integer, intent(in)  n  )

private

Definition at line 581 of file ax_helm_cpu.f90.

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ax_helm_lx13()

subroutine ax_helm_cpu::ax_helm_lx13 ( real(kind=rp), dimension(lx, lx, lx, n), intent(inout)  w, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  u, real(kind=rp), dimension(lx,lx), intent(in)  dx, real(kind=rp), dimension(lx,lx), intent(in)  dy, real(kind=rp), dimension(lx,lx), intent(in)  dz, real(kind=rp), dimension(lx,lx), intent(in)  dxt, real(kind=rp), dimension(lx,lx), intent(in)  dyt, real(kind=rp), dimension(lx,lx), intent(in)  dzt, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  h1, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g11, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g22, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g33, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g12, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g13, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g23, integer, intent(in)  n  )

private

Definition at line 420 of file ax_helm_cpu.f90.

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ax_helm_lx14()

subroutine ax_helm_cpu::ax_helm_lx14 ( real(kind=rp), dimension(lx, lx, lx, n), intent(inout)  w, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  u, real(kind=rp), dimension(lx,lx), intent(in)  dx, real(kind=rp), dimension(lx,lx), intent(in)  dy, real(kind=rp), dimension(lx,lx), intent(in)  dz, real(kind=rp), dimension(lx,lx), intent(in)  dxt, real(kind=rp), dimension(lx,lx), intent(in)  dyt, real(kind=rp), dimension(lx,lx), intent(in)  dzt, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  h1, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g11, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g22, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g33, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g12, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g13, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g23, integer, intent(in)  n  )

private

Definition at line 254 of file ax_helm_cpu.f90.

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ax_helm_lx2()

subroutine ax_helm_cpu::ax_helm_lx2 ( real(kind=rp), dimension(lx, lx, lx, n), intent(inout)  w, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  u, real(kind=rp), dimension(lx,lx), intent(in)  dx, real(kind=rp), dimension(lx,lx), intent(in)  dy, real(kind=rp), dimension(lx,lx), intent(in)  dz, real(kind=rp), dimension(lx,lx), intent(in)  dxt, real(kind=rp), dimension(lx,lx), intent(in)  dyt, real(kind=rp), dimension(lx,lx), intent(in)  dzt, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  h1, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g11, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g22, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g33, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g12, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g13, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g23, integer, intent(in)  n  )

private

Definition at line 1851 of file ax_helm_cpu.f90.

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ax_helm_lx3()

subroutine ax_helm_cpu::ax_helm_lx3 ( real(kind=rp), dimension(lx, lx, lx, n), intent(inout)  w, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  u, real(kind=rp), dimension(lx,lx), intent(in)  dx, real(kind=rp), dimension(lx,lx), intent(in)  dy, real(kind=rp), dimension(lx,lx), intent(in)  dz, real(kind=rp), dimension(lx,lx), intent(in)  dxt, real(kind=rp), dimension(lx,lx), intent(in)  dyt, real(kind=rp), dimension(lx,lx), intent(in)  dzt, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  h1, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g11, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g22, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g33, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g12, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g13, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g23, integer, intent(in)  n  )

private

Definition at line 1751 of file ax_helm_cpu.f90.

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ax_helm_lx4()

subroutine ax_helm_cpu::ax_helm_lx4 ( real(kind=rp), dimension(lx, lx, lx, n), intent(inout)  w, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  u, real(kind=rp), dimension(lx,lx), intent(in)  dx, real(kind=rp), dimension(lx,lx), intent(in)  dy, real(kind=rp), dimension(lx,lx), intent(in)  dz, real(kind=rp), dimension(lx,lx), intent(in)  dxt, real(kind=rp), dimension(lx,lx), intent(in)  dyt, real(kind=rp), dimension(lx,lx), intent(in)  dzt, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  h1, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g11, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g22, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g33, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g12, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g13, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g23, integer, intent(in)  n  )

private

Definition at line 1645 of file ax_helm_cpu.f90.

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ax_helm_lx5()

subroutine ax_helm_cpu::ax_helm_lx5 ( real(kind=rp), dimension(lx, lx, lx, n), intent(inout)  w, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  u, real(kind=rp), dimension(lx,lx), intent(in)  dx, real(kind=rp), dimension(lx,lx), intent(in)  dy, real(kind=rp), dimension(lx,lx), intent(in)  dz, real(kind=rp), dimension(lx,lx), intent(in)  dxt, real(kind=rp), dimension(lx,lx), intent(in)  dyt, real(kind=rp), dimension(lx,lx), intent(in)  dzt, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  h1, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g11, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g22, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g33, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g12, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g13, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g23, integer, intent(in)  n  )

private

Definition at line 1533 of file ax_helm_cpu.f90.

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ax_helm_lx6()

subroutine ax_helm_cpu::ax_helm_lx6 ( real(kind=rp), dimension(lx, lx, lx, n), intent(inout)  w, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  u, real(kind=rp), dimension(lx,lx), intent(in)  dx, real(kind=rp), dimension(lx,lx), intent(in)  dy, real(kind=rp), dimension(lx,lx), intent(in)  dz, real(kind=rp), dimension(lx,lx), intent(in)  dxt, real(kind=rp), dimension(lx,lx), intent(in)  dyt, real(kind=rp), dimension(lx,lx), intent(in)  dzt, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  h1, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g11, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g22, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g33, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g12, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g13, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g23, integer, intent(in)  n  )

private

Definition at line 1415 of file ax_helm_cpu.f90.

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ax_helm_lx7()

subroutine ax_helm_cpu::ax_helm_lx7 ( real(kind=rp), dimension(lx, lx, lx, n), intent(inout)  w, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  u, real(kind=rp), dimension(lx,lx), intent(in)  dx, real(kind=rp), dimension(lx,lx), intent(in)  dy, real(kind=rp), dimension(lx,lx), intent(in)  dz, real(kind=rp), dimension(lx,lx), intent(in)  dxt, real(kind=rp), dimension(lx,lx), intent(in)  dyt, real(kind=rp), dimension(lx,lx), intent(in)  dzt, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  h1, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g11, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g22, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g33, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g12, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g13, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g23, integer, intent(in)  n  )

private

Definition at line 1291 of file ax_helm_cpu.f90.

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ax_helm_lx8()

subroutine ax_helm_cpu::ax_helm_lx8 ( real(kind=rp), dimension(lx, lx, lx, n), intent(inout)  w, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  u, real(kind=rp), dimension(lx,lx), intent(in)  dx, real(kind=rp), dimension(lx,lx), intent(in)  dy, real(kind=rp), dimension(lx,lx), intent(in)  dz, real(kind=rp), dimension(lx,lx), intent(in)  dxt, real(kind=rp), dimension(lx,lx), intent(in)  dyt, real(kind=rp), dimension(lx,lx), intent(in)  dzt, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  h1, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g11, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g22, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g33, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g12, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g13, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g23, integer, intent(in)  n  )

private

Definition at line 1161 of file ax_helm_cpu.f90.

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ax_helm_lx9()

subroutine ax_helm_cpu::ax_helm_lx9 ( real(kind=rp), dimension(lx, lx, lx, n), intent(inout)  w, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  u, real(kind=rp), dimension(lx,lx), intent(in)  dx, real(kind=rp), dimension(lx,lx), intent(in)  dy, real(kind=rp), dimension(lx,lx), intent(in)  dz, real(kind=rp), dimension(lx,lx), intent(in)  dxt, real(kind=rp), dimension(lx,lx), intent(in)  dyt, real(kind=rp), dimension(lx,lx), intent(in)  dzt, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  h1, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g11, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g22, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g33, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g12, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g13, real(kind=rp), dimension(lx, lx, lx, n), intent(in)  g23, integer, intent(in)  n  )

private

Definition at line 1025 of file ax_helm_cpu.f90.

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