math Module Reference

Data Types
interface	abscmp
interface	sort
interface	swap
interface	reord
interface	flipv
interface	relcmp

Functions/Subroutines
pure logical function	sabscmp (x, y)
	Return single precision absolute comparison \( | x - y | < \epsilon \). More...
pure logical function	dabscmp (x, y)
	Return double precision absolute comparison \( | x - y | < \epsilon \). More...
pure logical function	qabscmp (x, y)
	Return double precision absolute comparison \( | x - y | < \epsilon \). More...
pure logical function	srelcmp (x, y, eps)
	Return single precision relative comparison \( | x - y |<= \epsilon*|y| \). More...
pure logical function	drelcmp (x, y, eps)
	Return double precision relative comparison \( | x - y |/|y| < \epsilon \). More...
pure logical function	qrelcmp (x, y, eps)
	Return quad precision relative comparison \( | x - y |/|y| < \epsilon \). More...
subroutine, public	rzero (a, n)
	Zero a real vector. More...
subroutine, public	izero (a, n)
	Zero an integer vector. More...
subroutine, public	row_zero (a, m, n, e)
	Sets row e to 0 in matrix a. More...
subroutine, public	rone (a, n)
	Set all elements to one. More...
subroutine, public	copy (a, b, n)
	Copy a vector \( a = b \). More...
subroutine, public	masked_copy (a, b, mask, n, m)
	Copy a masked vector \( a(mask) = b(mask) \). More...
subroutine, public	cfill_mask (a, c, size, mask, mask_size)
	Fill a constant to a masked vector. \( a_i = c, for i in mask \). More...
subroutine, public	cmult (a, c, n)
	Multiplication by constant c \( a = c \cdot a \). More...
subroutine, public	cadd (a, s, n)
	Add a scalar to vector \( a_i = a_i + s \). More...
subroutine, public	cadd2 (a, b, s, n)
	Add a scalar to vector \( a_i = b_i + s \). More...
subroutine, public	cfill (a, c, n)
	Set all elements to a constant c \( a = c \). More...
real(kind=rp) function, public	glsum (a, n)
	Sum a vector of length n. More...
real(kind=rp) function, public	glmax (a, n)
	Max of a vector of length n. More...
integer function, public	glimax (a, n)
	Max of an integer vector of length n. More...
real(kind=rp) function, public	glmin (a, n)
	Min of a vector of length n. More...
integer function, public	glimin (a, n)
	Min of an integer vector of length n. More...
subroutine, public	chsign (a, n)
	Change sign of vector \( a = -a \). More...
real(kind=rp) function, public	vlmax (vec, n)
	maximum value of a vector of length n More...
real(kind=rp) function, public	vlmin (vec, n)
	minimun value of a vector of length n More...
subroutine, public	invcol1 (a, n)
	Invert a vector \( a = 1 / a \). More...
subroutine, public	invcol3 (a, b, c, n)
	Invert a vector \( a = b / c \). More...
subroutine, public	invers2 (a, b, n)
	Compute inverted vector \( a = 1 / b \). More...
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. More...
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. More...
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. More...
real(kind=rp) function, public	vlsc3 (u, v, w, n)
	Compute multiplication sum \( dot = u \cdot v \cdot w \). More...
real(kind=rp) function, public	vlsc2 (u, v, n)
	Compute multiplication sum \( dot = u \cdot v \cdot w \). More...
subroutine, public	add2 (a, b, n)
	Vector addition \( a = a + b \). More...
subroutine, public	add3 (a, b, c, n)
	Vector addition \( a = b + c \). More...
subroutine, public	add4 (a, b, c, d, n)
	Vector addition \( a = b + c + d\). More...
subroutine, public	sub2 (a, b, n)
	Vector substraction \( a = a - b \). More...
subroutine, public	sub3 (a, b, c, n)
	Vector subtraction \( a = b - c \). More...
subroutine, public	add2s1 (a, b, c1, n)
	Vector addition with scalar multiplication \( a = c_1 a + b \) (multiplication on first argument) More...
subroutine, public	add2s2 (a, b, c1, n)
	Vector addition with scalar multiplication \( a = a + c_1 b \) (multiplication on second argument) More...
subroutine, public	addsqr2s2 (a, b, c1, n)
	Returns \( a = a + c1 * (b * b )\). More...
subroutine, public	cmult2 (a, b, c, n)
	Multiplication by constant c \( a = c \cdot b \). More...
subroutine, public	invcol2 (a, b, n)
	Vector division \( a = a / b \). More...
subroutine, public	col2 (a, b, n)
	Vector multiplication \( a = a \cdot b \). More...
subroutine, public	col3 (a, b, c, n)
	Vector multiplication with 3 vectors \( a = b \cdot c \). More...
subroutine, public	subcol3 (a, b, c, n)
	Returns \( a = a - b*c \). More...
subroutine, public	add3s2 (a, b, c, c1, c2, n)
	Returns \( a = c1 * b + c2 * c \). More...
subroutine, public	subcol4 (a, b, c, d, n)
	Returns \( a = a - b*c*d \). More...
subroutine, public	addcol3 (a, b, c, n)
	Returns \( a = a + b*c \). More...
subroutine, public	addcol4 (a, b, c, d, n)
	Returns \( a = a + b*c*d \). More...
subroutine, public	ascol5 (a, b, c, d, e, n)
	Returns \( a = b \dot c - d \cdot e \). More...
subroutine, public	p_update (a, b, c, c1, c2, n)
	Returns \( a = b \dot c1 ( a - c2 \cdot c )\). More...
subroutine, public	x_update (a, b, c, c1, c2, n)
	Returns \( a = b \dot c1 ( a - c2 \cdot c )\). More...
real(kind=rp) function, public	glsc2 (a, b, n)
	Weighted inner product \( a^T b \). More...
real(kind=rp) function, public	glsc3 (a, b, c, n)
	Weighted inner product \( a^T b c \). More...
real(kind=rp) function, public	glsc4 (a, b, c, d, n)
subroutine	sortrp (a, ind, n)
	Heap Sort for double precision arrays. More...
subroutine	sorti4 (a, ind, n)
	Heap Sort for single integer arrays. More...
subroutine	swapdp (b, ind, n)
	sort double precision array acording to ind vector More...
subroutine	swapi4 (b, ind, n)
	sort single integer array acording to ind vector More...
subroutine	reorddp (b, ind, n)
	reorder double precision array - inverse of swap More...
subroutine	reordi4 (b, ind, n)
	reorder single integer array - inverse of swap More...
subroutine	flipvdp (b, ind, n)
	Flip double precision vector b and ind. More...
subroutine	flipvi4 (b, ind, n)
	Flip single integer vector b and ind. More...

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

Function/Subroutine Documentation

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 546 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 617 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(inout)	b,
		real(kind=rp), intent(in)	c1,
		integer, intent(in)	n
	)

Definition at line 632 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 559 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 729 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(inout)	b,
		real(kind=rp), dimension(n), intent(inout)	c,
		real(kind=rp), dimension(n), intent(inout)	d,
		integer, intent(in)	n
	)

Definition at line 573 of file math.f90.

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 760 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 774 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 646 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 789 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 288 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 300 of file math.f90.

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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 313 of file math.f90.

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cfill_mask()

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

Definition at line 262 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 399 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 276 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 660 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 688 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 701 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 227 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  )

private

Definition at line 120 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 154 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]	b	vector to be reordered
[in,out]	ind	permutation array
[in]	n	array size

Definition at line 1088 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]	b	vector to be reordered
[in,out]	ind	permutation array
[in]	n	array size

Definition at line 1111 of file math.f90.

glimax()

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

Definition at line 354 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 382 of file math.f90.

glmax()

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

Definition at line 340 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 368 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 835 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 853 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 870 of file math.f90.

glsum()

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

Definition at line 325 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 434 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 674 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 446 of file math.f90.

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 459 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 194 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(0:m)	mask,
		integer, intent(in)	n,
		integer, intent(in)	m
	)

Parameters

a	Destination array of size n.
b	Source array of size n.
mask	Mask array of length m+1, where mask(0) =m the length of the mask array.
n	Size of the arrays a and b.
m	Size of the mask array mask.

Definition at line 246 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 805 of file math.f90.

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qabscmp()

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

private

Definition at line 130 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 169 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]	b	vector to be reordered
[in]	ind	permutation array
[in]	n	array size

Definition at line 1048 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]	b	vector to be reordered
[in]	ind	permutation array
[in]	n	array size

Definition at line 1068 of file math.f90.

rone()

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

Definition at line 216 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 205 of file math.f90.

rzero()

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

Definition at line 183 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  )

private

Definition at line 110 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]	a	vector to be sorted
[out]	ind	permutation array
[in]	n	array size

Definition at line 952 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]	a	vector to be sorted
[out]	ind	permutation array
[in]	n	array size

Definition at line 894 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 140 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 588 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 601 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 715 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 745 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]	b	vector to be reordered
[in]	ind	permutation array
[in]	n	array size

Definition at line 1008 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]	b	vector to be reordered
[in]	ind	permutation array
[in]	n	array size

Definition at line 1028 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 473 of file math.f90.

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 490 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 504 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 411 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 422 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 532 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 518 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 820 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 67 of file math.f90.

neko_m_ln2

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

Definition at line 70 of file math.f90.

pi

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

Definition at line 73 of file math.f90.