Neko 1.99.1
A portable framework for high-order spectral element flow simulations
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math Module Reference

Data Types

interface  abscmp
 
interface  flipv
 
interface  pwmax
 
interface  pwmin
 
interface  relcmp
 
interface  reord
 
interface  sort
 
interface  swap
 

Functions/Subroutines

pure logical function sabscmp (x, y, tol)
 Return single precision absolute comparison \( | x - y | < \epsilon \).
 
pure logical function dabscmp (x, y, tol)
 Return double precision absolute comparison \( | x - y | < \epsilon \).
 
pure logical function qabscmp (x, y, tol)
 Return double precision absolute comparison \( | x - y | < \epsilon \).
 
pure logical function srelcmp (x, y, eps)
 Return single precision relative comparison \( | x - y |<= \epsilon*|y| \).
 
pure logical function drelcmp (x, y, eps)
 Return double precision relative comparison \( | x - y |/|y| < \epsilon \).
 
pure logical function qrelcmp (x, y, eps)
 Return quad precision relative comparison \( | x - y |/|y| < \epsilon \).
 
subroutine, public rzero (a, n)
 Zero a real vector.
 
subroutine, public izero (a, n)
 Zero an integer vector.
 
subroutine, public row_zero (a, m, n, e)
 Sets row e to 0 in matrix a.
 
subroutine, public rone (a, n)
 Set all elements to one.
 
subroutine, public copy (a, b, n)
 Copy a vector \( a = b \).
 
subroutine, public masked_copy_0 (a, b, mask, n, n_mask)
 Copy a masked vector \( a(mask) = b(mask) \).
 
subroutine, public masked_copy (a, b, mask, n, n_mask)
 Copy a masked vector \( a(mask) = b(mask) \).
 
subroutine, public masked_gather_copy_0 (a, b, mask, n, n_mask)
 Gather a masked vector to reduced contigous vector \( a = b(mask) \).
 
subroutine, public masked_gather_copy (a, b, mask, n, n_mask)
 Gather a masked vector to reduced contigous vector \( a = b(mask) \).
 
subroutine, public masked_scatter_copy_0 (a, b, mask, n, n_mask)
 Scatter a contigous vector to masked positions in a target array \( a(mask) = b \).
 
subroutine, public masked_scatter_copy (a, b, mask, n, n_mask)
 Scatter a contigous vector to masked positions in a target array \( a(mask) = b \).
 
subroutine, public cfill_mask (a, c, n, mask, n_mask)
 Fill a constant to a masked vector. \( a_i = c, for i in mask \).
 
subroutine, public cmult (a, c, n)
 Multiplication by constant c \( a = c \cdot a \).
 
subroutine, public cmult2 (a, b, c, n)
 Multiplication by constant c \( a = c \cdot b \).
 
subroutine, public cdiv (a, c, n)
 Division of constant c by elements of a \( a = c / a \).
 
subroutine, public cdiv2 (a, b, c, n)
 Division of constant c by elements of a \( a = c / b \).
 
subroutine, public cadd (a, s, n)
 Add a scalar to vector \( a_i = a_i + s \).
 
subroutine, public cadd2 (a, b, s, n)
 Add a scalar to vector \( a_i = b_i + s \).
 
subroutine, public cfill (a, c, n)
 Set all elements to a constant c \( a = c \).
 
real(kind=rp) function, public glsum (a, n)
 Sum a vector of length n.
 
real(kind=rp) function, public glmax (a, n)
 Max of a vector of length n.
 
integer function, public glimax (a, n)
 Max of an integer vector of length n.
 
real(kind=rp) function, public glmin (a, n)
 Min of a vector of length n.
 
integer function, public glimin (a, n)
 Min of an integer vector of length n.
 
subroutine, public chsign (a, n)
 Change sign of vector \( a = -a \).
 
real(kind=rp) function, public vlmax (vec, n)
 maximum value of a vector of length n
 
real(kind=rp) function, public vlmin (vec, n)
 minimun value of a vector of length n
 
subroutine, public invcol1 (a, n)
 Invert a vector \( a = 1 / a \).
 
subroutine, public invcol3 (a, b, c, n)
 Invert a vector \( a = b / c \).
 
subroutine, public invers2 (a, b, n)
 Compute inverted vector \( a = 1 / b \).
 
subroutine, public vcross (u1, u2, u3, v1, v2, v3, w1, w2, w3, n)
 Compute a cross product \( u = v \times w \) assuming vector components \( u = (u_1, u_2, u_3) \) etc.
 
subroutine, public vdot2 (dot, u1, u2, v1, v2, n)
 Compute a dot product \( dot = u \cdot v \) (2-d version) assuming vector components \( u = (u_1, u_2, u_3) \) etc.
 
subroutine, public vdot3 (dot, u1, u2, u3, v1, v2, v3, n)
 Compute a dot product \( dot = u \cdot v \) (3-d version) assuming vector components \( u = (u_1, u_2, u_3) \) etc.
 
real(kind=rp) function, public vlsc3 (u, v, w, n)
 Compute multiplication sum \( dot = u \cdot v \cdot w \).
 
real(kind=rp) function, public vlsc2 (u, v, n)
 Compute multiplication sum \( dot = u \cdot v \cdot w \).
 
subroutine, public add2 (a, b, n)
 Vector addition \( a = a + b \).
 
subroutine, public add3 (a, b, c, n)
 Vector addition \( a = b + c \).
 
subroutine, public add4 (a, b, c, d, n)
 Vector addition \( a = b + c + d\).
 
subroutine, public sub2 (a, b, n)
 Vector substraction \( a = a - b \).
 
subroutine, public sub3 (a, b, c, n)
 Vector subtraction \( a = b - c \).
 
subroutine, public add2s1 (a, b, c1, n)
 Vector addition with scalar multiplication \( a = c_1 a + b \) (multiplication on first argument)
 
subroutine, public add2s2 (a, b, c1, n)
 Vector addition with scalar multiplication \( a = a + c_1 b \) (multiplication on second argument)
 
subroutine, public addsqr2s2 (a, b, c1, n)
 Returns \( a = a + c1 * (b * b )\).
 
subroutine, public invcol2 (a, b, n)
 Vector division \( a = a / b \).
 
subroutine, public col2 (a, b, n)
 Vector multiplication \( a = a \cdot b \).
 
subroutine, public col3 (a, b, c, n)
 Vector multiplication with 3 vectors \( a = b \cdot c \).
 
subroutine, public subcol3 (a, b, c, n)
 Returns \( a = a - b*c \).
 
subroutine, public add3s2 (a, b, c, c1, c2, n)
 Returns \( a = c1 * b + c2 * c \).
 
subroutine, public subcol4 (a, b, c, d, n)
 Returns \( a = a - b*c*d \).
 
subroutine, public addcol3 (a, b, c, n)
 Returns \( a = a + b*c \).
 
subroutine, public addcol4 (a, b, c, d, n)
 Returns \( a = a + b*c*d \).
 
subroutine, public ascol5 (a, b, c, d, e, n)
 Returns \( a = b \dot c - d \cdot e \).
 
subroutine, public p_update (a, b, c, c1, c2, n)
 Returns \( a = b \dot c1 ( a - c2 \cdot c )\).
 
subroutine, public x_update (a, b, c, c1, c2, n)
 Returns \( a = b \dot c1 ( a - c2 \cdot c )\).
 
real(kind=rp) function, public glsc2 (a, b, n)
 Weighted inner product \( a^T b \).
 
real(kind=rp) function, public glsc3 (a, b, c, n)
 Weighted inner product \( a^T b c \).
 
real(kind=rp) function, public glsc4 (a, b, c, d, n)
 
real(kind=rp) function, public glsubnorm (a, b, n)
 Returns the norm of the difference of two vectors \( \sqrt{(a-b)^T (a-b)} \).
 
subroutine sortrp (a, ind, n)
 Heap Sort for double precision arrays.
 
subroutine sorti4 (a, ind, n)
 Heap Sort for single integer arrays.
 
subroutine swapdp (b, ind, n)
 sort double precision array acording to ind vector
 
subroutine swapi4 (b, ind, n)
 sort single integer array acording to ind vector
 
subroutine reorddp (b, ind, n)
 reorder double precision array - inverse of swap
 
subroutine reordi4 (b, ind, n)
 reorder single integer array - inverse of swap
 
subroutine flipvdp (b, ind, n)
 Flip double precision vector b and ind.
 
subroutine flipvi4 (b, ind, n)
 Flip single integer vector b and ind.
 
subroutine, public absval (a, n)
 Take the absolute value of an array.
 
subroutine pwmax_vec2 (a, b, n)
 Point-wise maximum of two vectors \( a = \max(a, b) \).
 
subroutine pwmax_vec3 (a, b, c, n)
 Point-wise maximum of two vectors \( a = \max(b, c) \).
 
subroutine pwmax_scal2 (a, b, n)
 Point-wise maximum of scalar and vector \( a = \max(a, b) \).
 
subroutine pwmax_scal3 (a, b, c, n)
 Point-wise maximum of scalar and vector \( a = \max(b, c) \).
 
subroutine pwmin_vec2 (a, b, n)
 Point-wise minimum of two vectors \( a = \min(a, b) \).
 
subroutine pwmin_vec3 (a, b, c, n)
 Point-wise minimum of two vectors \( a = \min(b, c) \).
 
subroutine pwmin_sca2 (a, b, n)
 Point-wise minimum of scalar and vector \( a = \min(a, b) \).
 
subroutine pwmin_sca3 (a, b, c, n)
 Point-wise minimum of scalar and vector \( a = \min(b, c) \).
 

Variables

real(kind=rp), parameter, public neko_eps = epsilon(1.0_rp)
 Machine epsilon \( \epsilon \).
 
real(kind=rp), parameter, public neko_m_ln2 = log(2.0_rp)
 \( ln(2) \)
 
real(kind=rp), parameter, public pi = 4._rp*atan(1._rp)
 \( \pi \)
 

Function/Subroutine Documentation

◆ absval()

subroutine, public math::absval ( real(kind=rp), dimension(n), intent(inout a,
integer, intent(in n 
)
Parameters
[in,out]avector to be manipulated
[in]narray size

Definition at line 1330 of file math.f90.

◆ add2()

subroutine, public math::add2 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
integer, intent(in n 
)

Definition at line 731 of file math.f90.

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◆ add2s1()

subroutine, public math::add2s1 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(inout b,
real(kind=rp), intent(in c1,
integer, intent(in n 
)

Definition at line 802 of file math.f90.

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◆ add2s2()

subroutine, public math::add2s2 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
real(kind=rp), intent(in c1,
integer, intent(in n 
)

Definition at line 817 of file math.f90.

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◆ add3()

subroutine, public math::add3 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
real(kind=rp), dimension(n), intent(in c,
integer, intent(in n 
)

Definition at line 744 of file math.f90.

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◆ add3s2()

subroutine, public math::add3s2 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
real(kind=rp), dimension(n), intent(in c,
real(kind=rp), intent(in c1,
real(kind=rp), intent(in c2,
integer, intent(in n 
)

Definition at line 900 of file math.f90.

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◆ add4()

subroutine, public math::add4 ( real(kind=rp), dimension(n), intent(out a,
real(kind=rp), dimension(n), intent(in b,
real(kind=rp), dimension(n), intent(in c,
real(kind=rp), dimension(n), intent(in d,
integer, intent(in n 
)

Definition at line 758 of file math.f90.

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◆ addcol3()

subroutine, public math::addcol3 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
real(kind=rp), dimension(n), intent(in c,
integer, intent(in n 
)

Definition at line 931 of file math.f90.

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◆ addcol4()

subroutine, public math::addcol4 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
real(kind=rp), dimension(n), intent(in c,
real(kind=rp), dimension(n), intent(in d,
integer, intent(in n 
)

Definition at line 945 of file math.f90.

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◆ addsqr2s2()

subroutine, public math::addsqr2s2 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
real(kind=rp), intent(in c1,
integer, intent(in n 
)

Definition at line 831 of file math.f90.

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◆ ascol5()

subroutine, public math::ascol5 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
real(kind=rp), dimension(n), intent(in c,
real(kind=rp), dimension(n), intent(in d,
real(kind=rp), dimension(n), intent(in e,
integer, intent(in n 
)

Definition at line 960 of file math.f90.

◆ cadd()

subroutine, public math::cadd ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), intent(in s,
integer, intent(in n 
)

Definition at line 467 of file math.f90.

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◆ cadd2()

subroutine, public math::cadd2 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
real(kind=rp), intent(in s,
integer, intent(in n 
)

Definition at line 479 of file math.f90.

◆ cdiv()

subroutine, public math::cdiv ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), intent(in c,
integer, intent(in n 
)

Definition at line 442 of file math.f90.

◆ cdiv2()

subroutine, public math::cdiv2 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
real(kind=rp), intent(in c,
integer, intent(in n 
)

Definition at line 454 of file math.f90.

◆ cfill()

subroutine, public math::cfill ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), intent(in c,
integer, intent(in n 
)

Definition at line 492 of file math.f90.

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◆ cfill_mask()

subroutine, public math::cfill_mask ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), intent(in c,
integer, intent(in n,
integer, dimension(n_mask), intent(in mask,
integer, intent(in n_mask 
)

Definition at line 402 of file math.f90.

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◆ chsign()

subroutine, public math::chsign ( real(kind=rp), dimension(n), intent(inout a,
integer, intent(in n 
)

Definition at line 584 of file math.f90.

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◆ cmult()

subroutine, public math::cmult ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), intent(in c,
integer, intent(in n 
)

Definition at line 416 of file math.f90.

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◆ cmult2()

subroutine, public math::cmult2 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
real(kind=rp), intent(in c,
integer, intent(in n 
)

Definition at line 428 of file math.f90.

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◆ col2()

subroutine, public math::col2 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
integer, intent(in n 
)

Definition at line 859 of file math.f90.

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◆ col3()

subroutine, public math::col3 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
real(kind=rp), dimension(n), intent(in c,
integer, intent(in n 
)

Definition at line 872 of file math.f90.

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◆ copy()

subroutine, public math::copy ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
integer, intent(in n 
)

Definition at line 254 of file math.f90.

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◆ dabscmp()

pure logical function math::dabscmp ( real(kind=dp), intent(in x,
real(kind=dp), intent(in y,
real(kind=dp), intent(in), optional  tol 
)
private

Definition at line 137 of file math.f90.

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◆ drelcmp()

pure logical function math::drelcmp ( real(kind=dp), intent(in x,
real(kind=dp), intent(in y,
real(kind=dp), intent(in), optional  eps 
)
private

Definition at line 181 of file math.f90.

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◆ flipvdp()

subroutine math::flipvdp ( real(kind=rp), dimension(n), intent(inout b,
integer, dimension(n), intent(inout ind,
integer, intent(in n 
)
private
Parameters
[in,out]bvector to be reordered
[in,out]indpermutation array
[in]narray size

Definition at line 1285 of file math.f90.

◆ flipvi4()

subroutine math::flipvi4 ( integer(i4), dimension(n), intent(inout b,
integer, dimension(n), intent(inout ind,
integer, intent(in n 
)
private
Parameters
[in,out]bvector to be reordered
[in,out]indpermutation array
[in]narray size

Definition at line 1308 of file math.f90.

◆ glimax()

integer function, public math::glimax ( integer, dimension(n)  a,
integer, intent(in n 
)

Definition at line 536 of file math.f90.

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◆ glimin()

integer function, public math::glimin ( integer, dimension(n)  a,
integer, intent(in n 
)

Definition at line 566 of file math.f90.

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◆ glmax()

real(kind=rp) function, public math::glmax ( real(kind=rp), dimension(n)  a,
integer, intent(in n 
)

Definition at line 521 of file math.f90.

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◆ glmin()

real(kind=rp) function, public math::glmin ( real(kind=rp), dimension(n)  a,
integer, intent(in n 
)

Definition at line 551 of file math.f90.

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◆ glsc2()

real(kind=rp) function, public math::glsc2 ( real(kind=rp), dimension(n), intent(in a,
real(kind=rp), dimension(n), intent(in b,
integer, intent(in n 
)

Definition at line 1006 of file math.f90.

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◆ glsc3()

real(kind=rp) function, public math::glsc3 ( real(kind=rp), dimension(n), intent(in a,
real(kind=rp), dimension(n), intent(in b,
real(kind=rp), dimension(n), intent(in c,
integer, intent(in n 
)

Definition at line 1025 of file math.f90.

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◆ glsc4()

real(kind=rp) function, public math::glsc4 ( real(kind=rp), dimension(n), intent(in a,
real(kind=rp), dimension(n), intent(in b,
real(kind=rp), dimension(n), intent(in c,
real(kind=rp), dimension(n), intent(in d,
integer, intent(in n 
)

Definition at line 1044 of file math.f90.

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◆ glsubnorm()

real(kind=rp) function, public math::glsubnorm ( real(kind=rp), dimension(n), intent(in a,
real(kind=rp), dimension(n), intent(in b,
integer, intent(in n 
)

Definition at line 1067 of file math.f90.

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◆ glsum()

real(kind=rp) function, public math::glsum ( real(kind=rp), dimension(n)  a,
integer, intent(in n 
)

Definition at line 504 of file math.f90.

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◆ invcol1()

subroutine, public math::invcol1 ( real(kind=rp), dimension(n), intent(inout a,
integer, intent(in n 
)

Definition at line 619 of file math.f90.

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◆ invcol2()

subroutine, public math::invcol2 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
integer, intent(in n 
)

Definition at line 845 of file math.f90.

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◆ invcol3()

subroutine, public math::invcol3 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
real(kind=rp), dimension(n), intent(in c,
integer, intent(in n 
)

Definition at line 631 of file math.f90.

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◆ invers2()

subroutine, public math::invers2 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
integer, intent(in n 
)

Definition at line 644 of file math.f90.

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◆ izero()

subroutine, public math::izero ( integer, dimension(n), intent(inout a,
integer, intent(in n 
)

Definition at line 221 of file math.f90.

◆ masked_copy()

subroutine, public math::masked_copy ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
integer, dimension(n_mask mask,
integer, intent(in n,
integer, intent(in n_mask 
)
Parameters
aDestination array of size n.
bSource array of size n.
maskMask array of length n_mask + 1, where mask(0) = n_mask the length of the mask array.
nSize of the arrays a and b.
n_maskSize of the mask array mask.

Definition at line 294 of file math.f90.

◆ masked_copy_0()

subroutine, public math::masked_copy_0 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
integer, dimension(0:n_mask mask,
integer, intent(in n,
integer, intent(in n_mask 
)
Parameters
aDestination array of size n.
bSource array of size n.
maskMask array of length n_mask + 1, where mask(0) = n_mask the length of the mask array.
nSize of the arrays a and b.
n_maskSize of the mask array mask.

Definition at line 273 of file math.f90.

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◆ masked_gather_copy()

subroutine, public math::masked_gather_copy ( real(kind=rp), dimension(n_mask), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
integer, dimension(n_mask mask,
integer, intent(in n,
integer, intent(in n_mask 
)
Parameters
aDestination array of size n_mask.
bSource array of size n.
maskMask array of length n_mask + 1, where mask(0) = n_mask the length of the mask array.
nSize of the array b.
n_maskSize of the mask array mask and a.
Note
Assumes n .ge. n_mask.

Definition at line 340 of file math.f90.

◆ masked_gather_copy_0()

subroutine, public math::masked_gather_copy_0 ( real(kind=rp), dimension(n_mask), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
integer, dimension(0:n_mask mask,
integer, intent(in n,
integer, intent(in n_mask 
)
Parameters
aDestination array of size n_mask.
bSource array of size n.
maskMask array of length n_mask + 1, where mask(0) = n_mask the length of the mask array.
nSize of the array b.
n_maskSize of the mask array mask and a.
Note
Assumes n .ge. n_mask.

Definition at line 317 of file math.f90.

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◆ masked_scatter_copy()

subroutine, public math::masked_scatter_copy ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n_mask), intent(in b,
integer, dimension(n_mask mask,
integer, intent(in n,
integer, intent(in n_mask 
)
Parameters
aDestination array of size n.
bSource array of size n_mask.
maskMask array of length n_mask + 1, where mask(0) = n_mask + 1 the length of the mask array.
nSize of the array maskand array b.
mSize of the mask array a.
Note
Assumes n .ge. n_mask.

Definition at line 386 of file math.f90.

◆ masked_scatter_copy_0()

subroutine, public math::masked_scatter_copy_0 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n_mask), intent(in b,
integer, dimension(0:n_mask mask,
integer, intent(in n,
integer, intent(in n_mask 
)
Parameters
aDestination array of size n.
bSource array of size n_mask.
maskMask array of length n_mask + 1, where mask(0) = n_mask + 1 the length of the mask array.
nSize of the array maskand array b.
mSize of the mask array a.
Note
Assumes n .ge. n_mask.

Definition at line 363 of file math.f90.

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◆ p_update()

subroutine, public math::p_update ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
real(kind=rp), dimension(n), intent(in c,
real(kind=rp), intent(in c1,
real(kind=rp), intent(in c2,
integer, intent(in n 
)

Definition at line 976 of file math.f90.

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◆ pwmax_scal2()

subroutine math::pwmax_scal2 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), intent(in b,
integer, intent(in n 
)
private

Definition at line 1367 of file math.f90.

◆ pwmax_scal3()

subroutine math::pwmax_scal3 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
real(kind=rp), intent(in c,
integer, intent(in n 
)
private

Definition at line 1379 of file math.f90.

◆ pwmax_vec2()

subroutine math::pwmax_vec2 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
integer, intent(in n 
)
private

Definition at line 1343 of file math.f90.

◆ pwmax_vec3()

subroutine math::pwmax_vec3 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
real(kind=rp), dimension(n), intent(in c,
integer, intent(in n 
)
private

Definition at line 1355 of file math.f90.

◆ pwmin_sca2()

subroutine math::pwmin_sca2 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), intent(in b,
integer, intent(in n 
)
private

Definition at line 1416 of file math.f90.

◆ pwmin_sca3()

subroutine math::pwmin_sca3 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
real(kind=rp), intent(in c,
integer, intent(in n 
)
private

Definition at line 1428 of file math.f90.

◆ pwmin_vec2()

subroutine math::pwmin_vec2 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
integer, intent(in n 
)
private

Definition at line 1392 of file math.f90.

◆ pwmin_vec3()

subroutine math::pwmin_vec3 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
real(kind=rp), dimension(n), intent(in c,
integer, intent(in n 
)
private

Definition at line 1404 of file math.f90.

◆ qabscmp()

pure logical function math::qabscmp ( real(kind=qp), intent(in x,
real(kind=qp), intent(in y,
real(kind=qp), intent(in), optional  tol 
)
private

Definition at line 152 of file math.f90.

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◆ qrelcmp()

pure logical function math::qrelcmp ( real(kind=qp), intent(in x,
real(kind=qp), intent(in y,
real(kind=qp), intent(in), optional  eps 
)
private

Definition at line 196 of file math.f90.

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◆ reorddp()

subroutine math::reorddp ( real(kind=rp), dimension(n), intent(inout b,
integer, dimension(n), intent(in ind,
integer, intent(in n 
)
private
Parameters
[in,out]bvector to be reordered
[in]indpermutation array
[in]narray size

Definition at line 1245 of file math.f90.

◆ reordi4()

subroutine math::reordi4 ( integer(i4), dimension(n), intent(inout b,
integer, dimension(n), intent(in ind,
integer, intent(in n 
)
private
Parameters
[in,out]bvector to be reordered
[in]indpermutation array
[in]narray size

Definition at line 1265 of file math.f90.

◆ rone()

subroutine, public math::rone ( real(kind=rp), dimension(n), intent(inout a,
integer, intent(in n 
)

Definition at line 243 of file math.f90.

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◆ row_zero()

subroutine, public math::row_zero ( real(kind=rp), dimension(m,n), intent(inout a,
integer, intent(in m,
integer, intent(in n,
integer, intent(in e 
)

Definition at line 232 of file math.f90.

◆ rzero()

subroutine, public math::rzero ( real(kind=rp), dimension(n), intent(inout a,
integer, intent(in n 
)

Definition at line 210 of file math.f90.

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◆ sabscmp()

pure logical function math::sabscmp ( real(kind=sp), intent(in x,
real(kind=sp), intent(in y,
real(kind=sp), intent(in), optional  tol 
)
private

Definition at line 122 of file math.f90.

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◆ sorti4()

subroutine math::sorti4 ( integer(i4), dimension(n), intent(inout a,
integer, dimension(n), intent(out ind,
integer, intent(in n 
)
private

Following p 231 Num. Rec., 1st Ed.

Parameters
[in,out]avector to be sorted
[out]indpermutation array
[in]narray size

Definition at line 1149 of file math.f90.

◆ sortrp()

subroutine math::sortrp ( real(kind=rp), dimension(n), intent(inout a,
integer, dimension(n), intent(out ind,
integer, intent(in n 
)
private

Following p 231 Num. Rec., 1st Ed.

Parameters
[in,out]avector to be sorted
[out]indpermutation array
[in]narray size

Definition at line 1091 of file math.f90.

◆ srelcmp()

pure logical function math::srelcmp ( real(kind=sp), intent(in x,
real(kind=sp), intent(in y,
real(kind=sp), intent(in), optional  eps 
)
private

Definition at line 167 of file math.f90.

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◆ sub2()

subroutine, public math::sub2 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(inout b,
integer, intent(in n 
)

Definition at line 773 of file math.f90.

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◆ sub3()

subroutine, public math::sub3 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
real(kind=rp), dimension(n), intent(in c,
integer, intent(in n 
)

Definition at line 786 of file math.f90.

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◆ subcol3()

subroutine, public math::subcol3 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
real(kind=rp), dimension(n), intent(in c,
integer, intent(in n 
)

Definition at line 886 of file math.f90.

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◆ subcol4()

subroutine, public math::subcol4 ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
real(kind=rp), dimension(n), intent(in c,
real(kind=rp), dimension(n), intent(in d,
integer, intent(in n 
)

Definition at line 916 of file math.f90.

◆ swapdp()

subroutine math::swapdp ( real(kind=rp), dimension(n), intent(inout b,
integer, dimension(n), intent(in ind,
integer, intent(in n 
)
private
Parameters
[in,out]bvector to be reordered
[in]indpermutation array
[in]narray size

Definition at line 1205 of file math.f90.

◆ swapi4()

subroutine math::swapi4 ( integer(i4), dimension(n), intent(inout b,
integer, dimension(n), intent(in ind,
integer, intent(in n 
)
private
Parameters
[in,out]bvector to be reordered
[in]indpermutation array
[in]narray size

Definition at line 1225 of file math.f90.

◆ vcross()

subroutine, public math::vcross ( real(kind=rp), dimension(n), intent(out u1,
real(kind=rp), dimension(n), intent(out u2,
real(kind=rp), dimension(n), intent(out u3,
real(kind=rp), dimension(n), intent(in v1,
real(kind=rp), dimension(n), intent(in v2,
real(kind=rp), dimension(n), intent(in v3,
real(kind=rp), dimension(n), intent(in w1,
real(kind=rp), dimension(n), intent(in w2,
real(kind=rp), dimension(n), intent(in w3,
integer, intent(in n 
)

Definition at line 658 of file math.f90.

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◆ vdot2()

subroutine, public math::vdot2 ( real(kind=rp), dimension(n), intent(out dot,
real(kind=rp), dimension(n), intent(in u1,
real(kind=rp), dimension(n), intent(in u2,
real(kind=rp), dimension(n), intent(in v1,
real(kind=rp), dimension(n), intent(in v2,
integer, intent(in n 
)

Definition at line 675 of file math.f90.

◆ vdot3()

subroutine, public math::vdot3 ( real(kind=rp), dimension(n), intent(out dot,
real(kind=rp), dimension(n), intent(in u1,
real(kind=rp), dimension(n), intent(in u2,
real(kind=rp), dimension(n), intent(in u3,
real(kind=rp), dimension(n), intent(in v1,
real(kind=rp), dimension(n), intent(in v2,
real(kind=rp), dimension(n), intent(in v3,
integer, intent(in n 
)

Definition at line 689 of file math.f90.

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◆ vlmax()

real(kind=rp) function, public math::vlmax ( real(kind=rp), dimension(n), intent(in vec,
integer  n 
)

Definition at line 596 of file math.f90.

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◆ vlmin()

real(kind=rp) function, public math::vlmin ( real(kind=rp), dimension(n), intent(in vec,
integer, intent(in n 
)

Definition at line 607 of file math.f90.

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◆ vlsc2()

real(kind=rp) function, public math::vlsc2 ( real(kind=rp), dimension(n), intent(in u,
real(kind=rp), dimension(n), intent(in v,
integer, intent(in n 
)

Definition at line 717 of file math.f90.

◆ vlsc3()

real(kind=rp) function, public math::vlsc3 ( real(kind=rp), dimension(n), intent(in u,
real(kind=rp), dimension(n), intent(in v,
real(kind=rp), dimension(n), intent(in w,
integer, intent(in n 
)

Definition at line 703 of file math.f90.

◆ x_update()

subroutine, public math::x_update ( real(kind=rp), dimension(n), intent(inout a,
real(kind=rp), dimension(n), intent(in b,
real(kind=rp), dimension(n), intent(in c,
real(kind=rp), intent(in c1,
real(kind=rp), intent(in c2,
integer, intent(in n 
)

Definition at line 991 of file math.f90.

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Variable Documentation

◆ neko_eps

real(kind=rp), parameter, public math::neko_eps = epsilon(1.0_rp)

Definition at line 69 of file math.f90.

◆ neko_m_ln2

real(kind=rp), parameter, public math::neko_m_ln2 = log(2.0_rp)

Definition at line 72 of file math.f90.

◆ pi

real(kind=rp), parameter, public math::pi = 4._rp*atan(1._rp)

Definition at line 75 of file math.f90.