N: Dedicated counting functions
In j-martineau/uj: Utilities by JAM
N R Documentation
Dedicated counting functions
Description
Dedicated counting functions
Usage
N()
n_check(x, .n = NULL, .min = NULL, .max = NULL, .eq = F)
n0(x)
n1(x)
n2(x)
n3(x)
n1p(x)
n2p(x)
n3p(x)
not_n0(x)
not_n1(x)
not_n2(x)
not_n3(x)
not_n1p(x)
not_n2p(x)
not_n3p(x)
nd()
ndots()
nd0(...)
nd1(...)
nd2(...)
nd3(...)
nd1p(...)
nd2p(...)
nd3p(...)
not_nd0(...)
not_nd1(...)
not_nd2(...)
not_nd3(...)
not_nd1p(...)
not_nd2p(...)
not_nd3p(...)
nu(x)
nunq(x)
nu0(x)
nu1(x)
nu2(x)
nu3(x)
nu1p(x)
nu2p(x)
nu3p(x)
not_nu0(x)
not_nu1(x)
not_nu2(x)
not_nu3(x)
not_nu1p(x)
not_nu2p(x)
not_nu3p(x)
nv(...)
nval(...)
nv0(...)
nv1(...)
nv2(...)
nv3(...)
nv1p(...)
nv2p(...)
nv3p(...)
not_nv0(...)
not_nv1(...)
not_nv2(...)
not_nv3(...)
not_nv1p(...)
not_nv2p(...)
not_nv3p(...)
nw(x)
nw0(x)
nw1(x)
nw2(x)
nw3(x)
nw1p(x)
nw2p(x)
nw3p(x)
not_nw0(x)
not_nw1(x)
not_nw2(x)
not_nw3(x)
not_nw1p(x)
not_nw2p(x)
not_nw3p(x)
neq(x, y)
ndif(x, y)
nr(x)
nr0(x)
nr1(x)
nr2(x)
nr3(x)
nr1p(x)
nr2p(x)
nr3p(x)
not_nr0(x)
not_nr1(x)
not_nr2(x)
not_nr3(x)
not_nr1p(x)
not_nr2p(x)
not_nr3p(x)
nc(x)
nc0(x)
nc1(x)
nc2(x)
nc3(x)
nc1p(x)
nc2p(x)
nc3p(x)
not_nc0(x)
not_nc1(x)
not_nc2(x)
not_nc3(x)
not_nc1p(x)
not_nc2p(x)
not_nc3p(x)
nrc(x)
nrc0(x)
nrc1(x)
nrc2(x)
nrc1p(x)
nrc2p(x)
not_nrc0(x)
not_nrc1(x)
not_nrc2p(x)
nr0_nc0(x)
nr0_nc1(x)
nr0_nc2(x)
nr0_nc3(x)
nr0_nc1p(x)
nr0_nc2p(x)
nr0_nc3p(x)
nr1_nc0(x)
nr1_nc1(x)
nr1_nc2(x)
nr1_nc3(x)
nr1_nc1p(x)
nr1_nc2p(x)
nr1_nc3p(x)
nr2_nc0(x)
nr2_nc1(x)
nr2_nc2(x)
nr2_nc3(x)
nr2_nc1p(x)
nr2_nc2p(x)
nr2_nc3p(x)
nr3_nc0(x)
nr3_nc1(x)
nr3_nc2(x)
nr3_nc3(x)
nr1p_nc0(x)
nr1p_nc1(x)
nr1p_nc2(x)
nr1p_nc3(x)
nr1p_nc1p(x)
nr1p_nc2p(x)
nr1p_nc3p(x)
nr2p_nc0(x)
nr2p_nc1(x)
nr2p_nc2(x)
nr2p_nc3(x)
nr2p_nc1p(x)
nr2p_nc2p(x)
nr2p_nc3p(x)
nr3p_nc0(x)
nr3p_nc1(x)
nr3p_nc2(x)
nr3p_nc3(x)
nr3p_nc1p(x)
nr3p_nc2p(x)
nr3p_nc3p(x)
not_nr0_nc0(x)
not_nr0_nc1(x)
not_nr0_nc2(x)
not_nr0_nc3(x)
not_nr0_nc1p(x)
not_nr0_nc2p(x)
not_nr0_nc3p(x)
not_nr1_nc0(x)
not_nr1_nc1(x)
not_nr1_nc2(x)
not_nr1_nc3(x)
not_nr1_nc1p(x)
not_nr1_nc2p(x)
not_nr1_nc3p(x)
not_nr2_nc0(x)
not_nr2_nc1(x)
not_nr2_nc2(x)
not_nr2_nc3(x)
not_nr2_nc1p(x)
not_nr2_nc2p(x)
not_nr2_nc3p(x)
not_nr3_nc0(x)
not_nr3_nc1(x)
not_nr3_nc2(x)
not_nr3_nc3(x)
not_nr3_nc1p(x)
not_nr3_nc2p(x)
not_nr3_nc3p(x)
not_nr1p_nc0(x)
not_nr1p_nc1(x)
not_nr1p_nc2(x)
not_nr1p_nc1p(x)
not_nr1p_nc2p(x)
not_nr1p_nc3p(x)
not_nr2p_nc0(x)
not_nr2p_nc1(x)
not_nr2p_nc2(x)
not_nr2p_nc1p(x)
not_nr2p_nc2p(x)
not_nr2p_nc3p(x)
not_nr3p_nc0(x)
not_nr3p_nc1(x)
not_nr3p_nc2(x)
not_nr3p_nc1p(x)
not_nr3p_nc2p(x)
not_nr3p_nc3p(x)
ndim(x)
ndim0(x)
ndim1(x)
ndim2(x)
ndim3(x)
ndim1p(x)
ndim2p(x)
ndim3p(x)
not_ndim0(x)
not_ndim1(x)
not_ndim2(x)
not_ndim3(x)
not_ndim1p(x)
not_ndim2p(x)
not_ndim3p(x)
nnav(x)
nnav0(x)
nnav1(x)
nnav2(x)
nnav3(x)
nnav1p(x)
nnav2p(x)
nnav3p(x)
not_nnav0(x)
not_nnav1(x)
not_nnav2(x)
not_nnav3(x)
not_nnav1p(x)
not_nnav2p(x)
not_nnav3p(x)
nokv(x)
nokv0(x)
nokv1(x)
nokv2(x)
nokv3(x)
nokv1p(x)
nokv2p(x)
nokv3p(x)
not_nokv0(x)
not_nokv1(x)
not_nokv2(x)
not_nokv3(x)
not_nokv1p(x)
not_nokv2p(x)
not_nokv3p(x)
ns(x)
ns0(x)
ns1(x)
ns2(x)
ns3(x)
ns1p(x)
ns2p(x)
ns3p(x)
not_ns0(x)
not_ns1(x)
not_ns2(x)
not_ns3(x)
not_ns1p(x)
not_ns2p(x)
not_ns3p(x)
...n(
...,
.n = NULL,
.min = NULL,
.max = NULL,
.eq = F,
.a = F,
.na = T,
.vals = NULL,
.lt = NULL,
.le = NULL,
.ge = NULL,
.gt = NULL
)
...n0(...)
...n1(...)
...n2(...)
...n3(...)
...n1p(...)
...n2p(...)
...n3p(...)
...not_n0(...)
...not_n1(...)
...not_n2(...)
...not_n3(...)
...not_n1p(...)
...not_n2p(...)
...not_n3p(...)
...ns(
...,
.n = NULL,
.min = NULL,
.max = NULL,
.na = T,
.vals = NULL,
.lt = NULL,
.le = NULL,
.ge = NULL,
.gt = NULL
)
...minn(
...,
.na = T,
.vals = NULL,
.lt = NULL,
.le = NULL,
.ge = NULL,
.gt = NULL
)
...maxn(
...,
.na = T,
.vals = NULL,
.lt = NULL,
.le = NULL,
.ge = NULL,
.gt = NULL
)
...neq(
...,
.min = NULL,
.max = NULL,
.na = T,
.vals = NULL,
.lt = NULL,
.le = NULL,
.ge = NULL,
.gt = NULL
)
...nw(..., .n = NULL, .min = NULL, .max = NULL, .eq = F, .na = F, .a = T)
...nt(..., .n = NULL, .min = NULL, .max = NULL, .eq = F, .na = F, .a = T)
...nf(..., .n = NULL, .min = NULL, .max = NULL, .eq = F, .na = F, .a = T)
...nu(..., .n = NULL, .min = NULL, .max = NULL, .eq = F, .na = T, .a = T)
...nr(..., .n = NULL, .min = NULL, .max = NULL, .eq = F)
...nc(..., .n = NULL, .min = NULL, .max = NULL, .eq = F)
...n_ch(..., .n = NULL, .min = NULL, .max = NULL, .eq = F, .na = F, .a = T)
...n_nav(..., .n = NULL, .min = NULL, .max = NULL, .eq = F, .a = T)
...n_okv(..., .n = NULL, .min = NULL, .max = NULL, .eq = F, .a = T)
...nv(..., .n = NULL, .min = NULL, .max = NULL, .eq = F, .a = T)
Arguments
x
For n_check(x), a non-negative whole-number object giving counts. Otherwise, an arbitrary object.
.n
Optional complete non-negative whole-number vec of valid element, row, or column counts.
.min
Optional complete non-negative whole-number scalar giving minimum valid element, row, or column counts.
.max
Optional complete non-negative whole-number scalar giving maximum valid element, row, or column counts.
.eq
Non-NA scalar indicating whether all counts must be equal.
...
One or more arguments to be examined for counts.
.a
Non-NA scalar indicating whether to atomize ... to create a single atomic vector before processing. If .a = F, each argument in ... is processed separately.
.na
Non-NA scalar whether NA values are allowed.
.vals
Optional atomic vec indicating specific values to be counted.
.lt
Optional complete sortable scalar indicating specific values elements of ... arguments must be less than in order to be counted.
.le
Optional complete sortable scalar indicating specific values elements of ... arguments must be less than or equal to in order to be counted
.ge
Optional complete sortable scalar indicating specific values elements of ... arguments must be greater than or equal to in order to be counted.
.gt
Optional complete sortable scalar indicating specific values elements of ... arguments must be greater than in order to be counted.
Details
The following functions are flexible, fully error-checked counting functions with optional count functionality driven by arguments:
n_check Do counts given in x meet criteria in c(N, .min, .max, .eq), if any? If none, returns x.
...n Length(s) of ... args with optional length validations.
...ns Lengths of ... args
...nv Length after atomizing.
...nch Number of characters in each element.
...nrc NROW(x) * NCOL(x)
...nnav Number of atomic NA values.
...nokv Number of atomic non-NA values.
...neq Are ... arg lengths all the same?
...ndif Are ... arg lengths not all the same?
...minn .min ... arg length.
...maxn .max ... arg length.
Functions evaluating length/count (in)equality
ndif Lengths of x and y are equal.
neq Lengths of x and y are different.
Functions getting counts/lengths
N length(x)
nd, ndots ...length()
...n ...length()
nc NCOL(x)
nr NROW(x)
ns lengths(x)
nu, nunq length(unique(atoms(...)))
nv, nval length(atoms(...))
nw length(which(x))
nrc NROW(x) * NCOL(x)
nnav length(which(is.na(atoms(x))))
nokv length(which(!is.na(atoms(x))))
ndim f0(null(x), 0, f0(is_vec(x), 1, N(dim(x))))
Functions checking for specific counts/lengths
The functions described in the previous table also have convenience functions for checking for specific counts/lengths and for negation. Those convenience functions are formed by appending the following to function names:
'0' N = 0
'1' N = 1
'2' N = 2
'1p' N = 1+
'2p' N = 2+
'3p' N = 3+
The negation functions are formed by prepending not_. All convenience functions are given in the following table:
Base N = 0 N = 1 N = 2 N ≥ 1 N ≥ 2 N ≥ 3
N n0 n1 n2 n1p n2p n3p
nd nd0 nd1 nd2 nd1p nd2p nd3p
...n ...n0 ...n1 ...n2 ...n1p ...n2p ...n3p
nc nc0 nc1 nc2 nc1p nc2p nc3p
nr nr0 nr1 nr2 nr1p nr2p nr3p
ns ns0 ns1 ns2 ns1p ns2p ns3p
nu nu0 nu1 nu2 nu1p nu2p nu3p
nv nv0 nv1 nv2 nv1p nv2p nv3p
nw nw0 nw1 nw2 nw1p nw2p nw3p
nrc nrc0 nrc1 — — nrc2p —
ndim ndim0 ndim1 ndim2 ndim1p ndim2p ndim3p
Base N ≠ 0 N ≠ 1 N ≠ 2 N < 1 N < 2 N < 3
not_n not_n0 not_n1 not_n2 not_n1p not_n2p not_n3p
not_nd not_nd0 not_nd1 not_nd2 not_nd1p not_nd2p not_nd3p
...not_n ...not_n0 ...not_n1 ...not_n2 ...not_n1p ...not_n2p ...not_n3p
not_nc not_nc0 not_nc1 not_nc2 not_nc1p not_nc2p not_nc3p
not_nr not_nr0 not_nr1 not_nr2 not_nr1p not_nr2p not_nr3p
not_ns not_ns0 not_ns1 not_ns2 not_ns1p not_ns2p not_ns3p
not_nu not_nu0 not_nu1 not_nu2 not_nu1p not_nu2p not_nu3p
not_nv not_nv0 not_nv1 not_nv2 not_nv1p not_nv2p not_nv3p
not_nw not_nw0 not_nw1 not_nw2 not_nw1p not_nw2p not_nw3p
not_nrc not_nrc0 not_nrc1 — — not_nrc2p —
not_ndim not_ndim0 not_ndim1 not_ndim2 not_ndim1p not_ndim2p not_ndim3p
nc = 0 nc = 1 nc = 2 nc = 3 nc ≥ 1 nc ≥ 2 nc ≥ 3
nr = 0 nr0_nc0 nr0_nc1 nr0_nc2 nr0_nc3 nr0_nc1p nr0_nc2p nr0_nc3p
nr = 1 nr1_nc0 nr1_nc1 nr1_nc2 nr1_nc3 nr1_nc1p nr1_nc2p nr1_nc3p
nr = 2 nr2_nc0 nr2_nc1 nr2_nc2 nr2_nc3 nr2_nc1p nr2_nc2p nr2_nc3p
nr = 3 nr3_nc0 nr3_nc1 nr3_nc2 nr3_nc3 nr3_nc1p nr3_nc2p nr3_nc3p
nr ≥ 1 nr1_pnc0 nr1p_nc1 nr1p_nc2 nr1p_nc3 nr1p_nc1p nr1p_nc2p nr1p_nc3p
nr ≥ 2 nr2p_nc0 nr2p_nc1 nr2p_nc2 nr2p_nc3 nr2p_nc1p nr2p_nc2p nr2p_nc3p
nr ≥ 3 nr3p_nc0 nr3p_nc1 nr3p_nc2 nr3p_nc3 nr3p_nc1p nr3p_nc2p nr3p_nc3p
nc ≠ 0 nc ≠ 1 nc ≠ 3 nc ≠ 2 nc < 1 nc < 2 nc < 3
nr ≠ 0 not_nr0_nc0 not_nr0_nc1 not_nr0_nc3 not_nr0_nc2 not_nr0_nc1p not_nr0_nc2p not_nr0_nc3p
nr ≠ 1 not_nr1_nc0 not_nr1_nc1 not_nr1_nc3 not_nr1_nc2 not_nr1_nc1p not_nr1_nc2p not_nr1_nc3p
nr ≠ 2 not_nr2_nc0 not_nr2_nc1 not_nr2_nc3 not_nr2_nc2 not_nr2_nc1p not_nr2_nc2p not_nr2_nc3p
nr ≠ 3 not_nr2_nc0 not_nr2_nc1 not_nr2_nc3 not_nr2_nc2 not_nr2_nc1p not_nr2_nc2p not_nr2_nc3p
nr < 1 not_nr1p_nc0 not_nr1p_nc1 not_nr1p_nc3 not_nr1p_nc2 not_nr1p_nc1p not_nr1p_nc2p not_nr1p_nc3p
nr < 2 not_nr2p_nc0 not_nr2p_nc1 not_nr2p_nc3 not_nr2p_nc2 not_nr2p_nc1p not_nr2p_nc2p not_nr2p_nc3p
nr < 3 not_nr3p_nc0 not_nr3p_nc1 not_nr3p_nc3 not_nr3p_nc2 not_nr3p_nc1p not_nr3p_nc2p not_nr3p_nc3p
Value
May be non-negative integer or a logical scalar or vector, depending the properties of primary argument(s) (i.e., x and ...) and optional arguments (i.e., all others).
See Also
Other counts:
maxnch()
Examples
##
## DEFINE INITIAL VARIABLE SET
##
vAa <- c(letters, LETTERS)
va <- letters
vA <- LETTERS
l0s <- c(0, 0, 0)
l0 <- NULL
l1 <- 0
l2 <- 0:1
l3 <- 0:2
l4 <- 0:3
l10 <- 0:9
l100 <- 0:99
l1000 <- sample(0:10, 1000, replace = T)
vList <- list(l0 = l0, l1 = l1, l2 = l2, va = va, vAa = vAa)
##
## DEMO [n_check] FUNCTION
##
n_check(length(va), .n = 26)
n_check(length(vA), .n = 52)
n_check(length(vAa), .n = 26:52)
n_check(l10, .min = 5, .max = 10)
n_check(l10, .min = 11, .max = 11)
n_check(l10, .eq = T)
n_check(l0s, .eq = T)
##
## DEMO [nX], [nXp], [not_nX] AND [not_nXp] FUNCTIONS
##
c(n0(l0), n0(l0s))
c(n1(l1), n1(l0))
c(n2(l1), n2(l2))
c(n3(l2), n3(l3))
c(n1p(l0), n1p(l1), n1p(l2))
c(n2p(l1), n2p(l2), n2p(l3))
c(n3p(l2), n3p(l3), n3p(l10))
c(not_n0(l0), n0(l0s))
c(not_n1(l1), n1(l0))
c(not_n2(l1), n2(l2))
c(not_n3(l2), n3(l3))
c(not_n1p(l0), not_n1p(l1), not_n1p(l2))
c(not_n2p(l1), not_n2p(l2), not_n2p(l3))
c(not_n3p(l2), not_n3p(l3), not_n3p(l10))
## DEMO [ndX], [ndXp], [not_ndX], and [not_ndXp] FUNCTIONS
c(nd0(), nd0(l0), nd0(l0, l1))
c(nd1(), nd1(l0), nd1(l0, l1))
c(nd2(l1), nd2(l1, l2), nd2(l1, l2, l3))
c(nd3(l1, l2), nd3(l1, l2, l3), nd3(l1, l2, l3, l4))
c(nd1p(), nd1p(l0), nd1p(l0, l1))
c(nd2p(l1), nd2p(l1, v2), nd2p(l1, l2, l3))
c(nd3p(l1, l2), nd3p(l1, l2, l3), nd3p(l1, l2, l3, l4))
c(not_nd0(), not_nd0(l0), not_nd0(l0, l1))
c(not_nd1(), not_nd1(l0), not_nd1(l0, l1))
c(not_nd2(l1), not_nd2(l1, l2), not_nd2(l1, l2, l3))
c(not_nd3(l1, l2), not_nd3(l1, l2, l3), not_nd3(l1, l2, l3, l4))
c(not_nd1p(), not_nd1p(l0), not_nd1p(l0, l1))
c(not_nd2p(l1), not_nd2p(l1, l2), not_nd2p(l1, l2, l3))
c(not_nd3p(l1, l2), not_nd3p(l1, l2, l3), not_nd3p(l1, l2, l3, l4))
##
## DEMO [nu], [nuX], [nuXp], [not_nuX], AND [not_nuXp] FUNCTIONS
##
c(nu(va), nu(vA), nu(vAa), nu(l0), nu(l10), nu(l100), nu(l1000))
c(nu0(l0), nu0(l1000))
c(nu1(l0), nu1(l1), nu2(l2))
c(nu2(l1), nu2(l2), nu2(l3))
c(nu3(l2), nu3(l3), nu3(l4))
c(nu1p(l0), nu1p(l1), nu2p(l2))
c(nu2p(l1), nu2p(l2), nu2p(l3))
c(nu3p(l2), nu3p(l3), nu3p(l4))
c(not_nu0(l0), not_nu0(l1000))
c(not_nu1(l0), not_nu1(l1), not_nu2(l2))
c(not_nu2(l1), not_nu2(l2), not_nu2(l3))
c(not_nu3(l2), not_nu3(l3), not_nu3(l4))
c(not_nu1p(l0), not_nu1p(l1), not_nu2p(l2))
c(not_nu2p(l1), not_nu2p(l2), not_nu2p(l3))
c(not_nu3p(l2), not_nu3p(l3), not_nu3p(l4))
##
## DEMO [nv], [nvX], [nvXp], [not_nvX], AND, [not_nvXp] FUNCTIONS
##
c(nv(l1000), nv(va), nv(vList))
c(nv0(l0), nv0(l0s))
c(nv1(l1), nv1(l0))
c(nv2(l1), nv2(l2))
c(nv3(l2), nv3(l3))
c(nv1p(l0), nv1p(l1), nv1p(l2))
c(nv2p(l1), nv2p(l2), nv2p(l3))
c(nv3p(l2), nv3p(l3), nv3p(l10))
c(not_nv0(l0), nv0(l0s))
c(not_nv1(l1), nv1(l0))
c(not_nv2(l1), nv2(l2))
c(not_nv3(l2), nv3(l3))
c(not_nv1p(l0), not_nv1p(l1), not_nv1p(l2))
c(not_nv2p(l1), not_nv2p(l2), not_nv2p(l3))
c(not_nv3p(l2), not_nv3p(l3), not_nv3p(l10))
##
## DEFINE TRUE/FALSE VARIABLE SET
##
vTF0 <- c()
vTF1 <- c(T, F)
vTF2 <- c(T, T, F, F)
vTF3 <- c(T, T, T, F, F, F)
vTF4 <- c(T, T, T, T, F, F, F, F)
vTFx <- sample(vTF1, 1000, replace = T)
##
## DEMO [nw], [nwX], [nwXp], [not_nwX], AND [not_nwXp] FUNCTIONS
##
c(nw(vTF1), nw(vTF2), nv(vTFx))
c(nw0(vTF0), nw0(vTF1))
c(nw1(vTF0), nw1(vTF1), nw1(vTF2))
c(nw2(vTF1), nw2(vTF2), nw2(vTF3))
c(nw3(vTF2), nw3(vTF3), nw3(vTF4))
c(nw1p(vTF0), nw1p(vTF1), nw1p(vTF2))
c(nw2p(vTF1), nw2p(vTF2), nw2p(vTF3))
c(nw3p(vTF2), nw3p(vTF3), nw3p(vTF4))
c(not_nw0(vTF0), not_nw0(vTF1))
c(not_nw1(vTF0), not_nw1(vTF1), not_nw1(vTF2))
c(not_nw2(vTF1), not_nw2(vTF2), not_nw2(vTF3))
c(not_nw3(vTF2), not_nw3(vTF3), not_nw3(vTF4))
c(not_nw1p(vTF0), not_nw1p(vTF1), not_nw1p(vTF2))
c(not_nw2p(vTF1), not_nw2p(vTF2), not_nw2p(vTF3))
c(not_nw3p(vTF2), not_nw3p(vTF3), not_nw3p(vTF4))
c(neq(l3, l3), neq(l3, l0s), neq(l1, l2))
c(ndif(l3, l3), ndif(l3, l0s), ndif(l1, l2))
##
## DEFINE MATRIX VARIABLE SET
##
m <- function(R, C) {matrix(1, nrow = R, ncol = C)}
m00 <- m(0, 0); m01 <- m(0, 1); m02 <- m(0, 2); m03 <- m(0, 3); m04 <- m(0, 4)
m10 <- m(1, 0); m11 <- m(1, 1); m12 <- m(1, 2); m13 <- m(1, 3); m14 <- m(1, 4)
m20 <- m(2, 0); m21 <- m(2, 1); m22 <- m(2, 2); m23 <- m(2, 3); m24 <- m(2, 4)
m30 <- m(3, 0); m31 <- m(3, 1); m32 <- m(3, 2); m33 <- m(3, 3); m34 <- m(3, 4)
m40 <- m(4, 0); m41 <- m(4, 1); m42 <- m(4, 2); m43 <- m(4, 3); m44 <- m(4, 4)
##
## DEMO [nr], [nc], AND [nrc] FUNCTIONS
##
c(nr(m00), nr(m10), nr(m20), nr(m30), nr(m40))
c(nc(m00), nc(m01), nc(m02), nc(m03), nc(m04))
c(nrc(m00), nrc(m11), nrc(m22), nrc(m33), nrc(m44))
##
## DEMO [ncX], [ncXp], [not_ncX], AND [not_ncXp] FUNCTIONS
##
c(nc0(m00), nc0(m01))
c(nc1(m00), nc1(m01), nc1(m02))
c(nc2(m01), nc2(m02), nc2(m03))
c(nc3(m02), nc3(m03), nc3(m04))
c(nc1p(m00), nc1p(m01), nc1p(m02))
c(nc2p(m01), nc2p(m02), nc2p(m03))
c(nc3p(m02), nc3p(m03), nc3p(m04))
c(not_nc0(m00), not_nc0(m01))
c(not_nc1(m00), not_nc1(m01), not_nc1(m02))
c(not_nc2(m01), not_nc2(m02), not_nc2(m03))
c(not_nc3(m02), not_nc3(m03), not_nc3(m04))
c(not_nc1p(m00), not_nc1p(m01), not_nc1p(m02))
c(not_nc2p(m01), not_nc2p(m02), not_nc2p(m03))
c(not_nc3p(m02), not_nc3p(m03), not_nc3p(m04))
##
## DEMO [nrX], [nrXp], [not_nrX], AND [not_nrXp] FUNCTIONS
##
c(nr0(m00), nr0(m10))
c(nr1(m00), nr1(m10), nr1(m20))
c(nr2(m10), nr2(m20), nr2(m30))
c(nr3(m20), nr3(m30), nr3(m40))
c(nr1p(m00), nr1p(m10), nr1p(m20))
c(nr2p(m10), nr2p(m20), nr2p(m30))
c(nr3p(m20), nr3p(m30), nr3p(m40))
c(not_nr0(m00), not_nr0(m10))
c(not_nr1(m00), not_nr1(m10), not_nr1(m20))
c(not_nr2(m10), not_nr2(m20), not_nr2(m30))
c(not_nr3(m20), not_nr3(m30), not_nr3(m40))
c(not_nr1p(m00), not_nr1p(m10), not_nr1p(m20))
c(not_nr2p(m10), not_nr2p(m20), not_nr2p(m30))
c(not_nr3p(m20), not_nr3p(m30), not_nr3p(m40))
##
## DEMO [nrcX], [nrcXp], [not_nrcX], AND [not_nrcXp] FUNCTIONS
##
c(nrc0(m00), nrc0(m01), nrc0(m10), nrc0(m11))
c(nrc1(m00), nrc1(m10), nrc1(m11), nrc1(m21))
c(nrc2(m11), nrc2(m12), nrc2(m21), nrc2(m22))
c(nrc1p(m00), nrc1p(m10), nrc1p(m11), nrc1p(m21))
c(nrc2p(m11), nrc2p(m12), nrc2p(m21), nrc2p(m22))
c(nr0_nc0(m00), nr0_nc0(m01), nr0_nc0(m02), nr0_nc0(m03), nr0_nc0(m04))
c(nr0_nc0(m10), nr0_nc0(m11), nr0_nc0(m12), nr0_nc0(m13), nr0_nc0(m14))
c(nr0_nc0(m20), nr0_nc0(m21), nr0_nc0(m22), nr0_nc0(m23), nr0_nc0(m24))
c(nr0_nc0(m30), nr0_nc0(m31), nr0_nc0(m32), nr0_nc0(m33), nr0_nc0(m34))
c(nr0_nc0(m40), nr0_nc0(m41), nr0_nc0(m42), nr0_nc0(m43), nr0_nc0(m44))
c(nr0_nc1(m00), nr0_nc1(m01), nr0_nc1(m02), nr0_nc1(m03), nr0_nc1(m04))
c(nr0_nc1(m10), nr0_nc1(m11), nr0_nc1(m12), nr0_nc1(m13), nr0_nc1(m14))
c(nr0_nc1(m20), nr0_nc1(m21), nr0_nc1(m22), nr0_nc1(m23), nr0_nc1(m24))
c(nr0_nc1(m30), nr0_nc1(m31), nr0_nc1(m32), nr0_nc1(m33), nr0_nc1(m34))
c(nr0_nc1(m40), nr0_nc1(m41), nr0_nc1(m42), nr0_nc1(m43), nr0_nc1(m44))
c(nr0_nc2(m00), nr0_nc2(m01), nr0_nc2(m02), nr0_nc2(m03), nr0_nc2(m04))
c(nr0_nc2(m10), nr0_nc2(m11), nr0_nc2(m12), nr0_nc2(m13), nr0_nc2(m14))
c(nr0_nc2(m20), nr0_nc2(m21), nr0_nc2(m22), nr0_nc2(m23), nr0_nc2(m24))
c(nr0_nc2(m30), nr0_nc2(m31), nr0_nc2(m32), nr0_nc2(m33), nr0_nc2(m34))
c(nr0_nc2(m40), nr0_nc2(m41), nr0_nc2(m42), nr0_nc2(m43), nr0_nc2(m44))
c(nr0_nc3(m00), nr0_nc3(m01), nr0_nc3(m02), nr0_nc3(m03), nr0_nc3(m04))
c(nr0_nc3(m10), nr0_nc3(m11), nr0_nc3(m12), nr0_nc3(m13), nr0_nc3(m14))
c(nr0_nc3(m20), nr0_nc3(m21), nr0_nc3(m22), nr0_nc3(m23), nr0_nc3(m24))
c(nr0_nc3(m30), nr0_nc3(m31), nr0_nc3(m32), nr0_nc3(m33), nr0_nc3(m34))
c(nr0_nc3(m40), nr0_nc3(m41), nr0_nc3(m42), nr0_nc3(m43), nr0_nc3(m44))
c(nr1_nc0(m00), nr1_nc0(m01), nr1_nc0(m02), nr1_nc0(m03), nr1_nc0(m04))
c(nr1_nc0(m10), nr1_nc0(m11), nr1_nc0(m12), nr1_nc0(m13), nr1_nc0(m14))
c(nr1_nc0(m20), nr1_nc0(m21), nr1_nc0(m22), nr1_nc0(m23), nr1_nc0(m24))
c(nr1_nc0(m30), nr1_nc0(m31), nr1_nc0(m32), nr1_nc0(m33), nr1_nc0(m34))
c(nr1_nc0(m40), nr1_nc0(m41), nr1_nc0(m42), nr1_nc0(m43), nr1_nc0(m44))
c(nr2_nc0(m00), nr2_nc0(m01), nr2_nc0(m02), nr2_nc0(m03), nr2_nc0(m04))
c(nr2_nc0(m10), nr2_nc0(m11), nr2_nc0(m12), nr2_nc0(m13), nr2_nc0(m14))
c(nr2_nc0(m20), nr2_nc0(m21), nr2_nc0(m22), nr2_nc0(m23), nr2_nc0(m24))
c(nr2_nc0(m30), nr2_nc0(m31), nr2_nc0(m32), nr2_nc0(m33), nr2_nc0(m34))
c(nr2_nc0(m40), nr2_nc0(m41), nr2_nc0(m42), nr2_nc0(m43), nr2_nc0(m44))
c(nr3_nc0(m00), nr3_nc0(m01), nr3_nc0(m02), nr3_nc0(m03), nr3_nc0(m04))
c(nr3_nc0(m10), nr3_nc0(m11), nr3_nc0(m12), nr3_nc0(m13), nr3_nc0(m14))
c(nr3_nc0(m20), nr3_nc0(m21), nr3_nc0(m22), nr3_nc0(m23), nr3_nc0(m24))
c(nr3_nc0(m30), nr3_nc0(m31), nr3_nc0(m32), nr3_nc0(m33), nr3_nc0(m34))
c(nr3_nc0(m40), nr3_nc0(m41), nr3_nc0(m42), nr3_nc0(m43), nr3_nc0(m44))
c(nr1_nc1(m00), nr1_nc1(m01), nr1_nc1(m02), nr1_nc1(m03), nr1_nc1(m04))
c(nr1_nc1(m10), nr1_nc1(m11), nr1_nc1(m12), nr1_nc1(m13), nr1_nc1(m14))
c(nr1_nc1(m20), nr1_nc1(m21), nr1_nc1(m22), nr1_nc1(m23), nr1_nc1(m24))
c(nr1_nc1(m30), nr1_nc1(m31), nr1_nc1(m32), nr1_nc1(m33), nr1_nc1(m34))
c(nr1_nc1(m40), nr1_nc1(m41), nr1_nc1(m42), nr1_nc1(m43), nr1_nc1(m44))
c(nr1_nc2(m00), nr1_nc2(m01), nr1_nc2(m02), nr1_nc2(m03), nr1_nc2(m04))
c(nr1_nc2(m10), nr1_nc2(m11), nr1_nc2(m12), nr1_nc2(m13), nr1_nc2(m14))
c(nr1_nc2(m20), nr1_nc2(m21), nr1_nc2(m22), nr1_nc2(m23), nr1_nc2(m24))
c(nr1_nc2(m30), nr1_nc2(m31), nr1_nc2(m32), nr1_nc2(m33), nr1_nc2(m34))
c(nr1_nc2(m40), nr1_nc2(m41), nr1_nc2(m42), nr1_nc2(m43), nr1_nc2(m44))
c(nr1_nc3(m00), nr1_nc3(m01), nr1_nc3(m02), nr1_nc3(m03), nr1_nc3(m04))
c(nr1_nc3(m10), nr1_nc3(m11), nr1_nc3(m12), nr1_nc3(m13), nr1_nc3(m14))
c(nr1_nc3(m20), nr1_nc3(m21), nr1_nc3(m22), nr1_nc3(m23), nr1_nc3(m24))
c(nr1_nc3(m30), nr1_nc3(m31), nr1_nc3(m32), nr1_nc3(m33), nr1_nc3(m34))
c(nr1_nc3(m40), nr1_nc3(m41), nr1_nc3(m42), nr1_nc3(m43), nr1_nc3(m44))
c(nr2_nc1(m00), nr2_nc1(m01), nr2_nc1(m02), nr2_nc1(m03), nr2_nc1(m04))
c(nr2_nc1(m10), nr2_nc1(m11), nr2_nc1(m12), nr2_nc1(m13), nr2_nc1(m14))
c(nr2_nc1(m20), nr2_nc1(m21), nr2_nc1(m22), nr2_nc1(m23), nr2_nc1(m24))
c(nr2_nc1(m30), nr2_nc1(m31), nr2_nc1(m32), nr2_nc1(m33), nr2_nc1(m34))
c(nr2_nc1(m40), nr2_nc1(m41), nr2_nc1(m42), nr2_nc1(m43), nr2_nc1(m44))
c(nr2_nc2(m00), nr2_nc2(m01), nr2_nc2(m02), nr2_nc2(m03), nr2_nc2(m04))
c(nr2_nc2(m10), nr2_nc2(m11), nr2_nc2(m12), nr2_nc2(m13), nr2_nc2(m14))
c(nr2_nc2(m20), nr2_nc2(m21), nr2_nc2(m22), nr2_nc2(m23), nr2_nc2(m24))
c(nr2_nc2(m30), nr2_nc2(m31), nr2_nc2(m32), nr2_nc2(m33), nr2_nc2(m34))
c(nr2_nc2(m40), nr2_nc2(m41), nr2_nc2(m42), nr2_nc2(m43), nr2_nc2(m44))
c(nr2_nc3(m00), nr2_nc3(m01), nr2_nc3(m02), nr2_nc3(m03), nr2_nc3(m04))
c(nr2_nc3(m10), nr2_nc3(m11), nr2_nc3(m12), nr2_nc3(m13), nr2_nc3(m14))
c(nr2_nc3(m20), nr2_nc3(m21), nr2_nc3(m22), nr2_nc3(m23), nr2_nc3(m24))
c(nr2_nc3(m30), nr2_nc3(m31), nr2_nc3(m32), nr2_nc3(m33), nr2_nc3(m34))
c(nr2_nc3(m40), nr2_nc3(m41), nr2_nc3(m42), nr2_nc3(m43), nr2_nc3(m44))
c(nr3_nc1(m00), nr3_nc1(m01), nr3_nc1(m02), nr3_nc1(m03), nr3_nc1(m04))
c(nr3_nc1(m10), nr3_nc1(m11), nr3_nc1(m12), nr3_nc1(m13), nr3_nc1(m14))
c(nr3_nc1(m20), nr3_nc1(m21), nr3_nc1(m22), nr3_nc1(m23), nr3_nc1(m24))
c(nr3_nc1(m30), nr3_nc1(m31), nr3_nc1(m32), nr3_nc1(m33), nr3_nc1(m34))
c(nr3_nc1(m40), nr3_nc1(m41), nr3_nc1(m42), nr3_nc1(m43), nr3_nc1(m44))
c(nr3_nc2(m00), nr3_nc2(m01), nr3_nc2(m02), nr3_nc2(m03), nr3_nc2(m04))
c(nr3_nc2(m10), nr3_nc2(m11), nr3_nc2(m12), nr3_nc2(m13), nr3_nc2(m14))
c(nr3_nc2(m20), nr3_nc2(m21), nr3_nc2(m22), nr3_nc2(m23), nr3_nc2(m24))
c(nr3_nc2(m30), nr3_nc2(m31), nr3_nc2(m32), nr3_nc2(m33), nr3_nc2(m34))
c(nr3_nc2(m40), nr3_nc2(m41), nr3_nc2(m42), nr3_nc2(m43), nr3_nc2(m44))
c(nr3_nc3(m00), nr3_nc3(m01), nr3_nc3(m02), nr3_nc3(m03), nr3_nc3(m04))
c(nr3_nc3(m10), nr3_nc3(m11), nr3_nc3(m12), nr3_nc3(m13), nr3_nc3(m14))
c(nr3_nc3(m20), nr3_nc3(m21), nr3_nc3(m22), nr3_nc3(m23), nr3_nc3(m24))
c(nr3_nc3(m30), nr3_nc3(m31), nr3_nc3(m32), nr3_nc3(m33), nr3_nc3(m34))
c(nr3_nc3(m40), nr3_nc3(m41), nr3_nc3(m42), nr3_nc3(m43), nr3_nc3(m44))
c(nr0_nc1p(m00), nr0_nc1p(m01), nr0_nc1p(m02), nr0_nc1p(m03), nr0_nc1p(m04))
c(nr0_nc1p(m10), nr0_nc1p(m11), nr0_nc1p(m12), nr0_nc1p(m13), nr0_nc1p(m14))
c(nr0_nc1p(m20), nr0_nc1p(m21), nr0_nc1p(m22), nr0_nc1p(m23), nr0_nc1p(m24))
c(nr0_nc1p(m30), nr0_nc1p(m31), nr0_nc1p(m32), nr0_nc1p(m33), nr0_nc1p(m34))
c(nr0_nc1p(m40), nr0_nc1p(m41), nr0_nc1p(m42), nr0_nc1p(m43), nr0_nc1p(m44))
c(nr0_nc2p(m00), nr0_nc2p(m01), nr0_nc2p(m02), nr0_nc2p(m03), nr0_nc2p(m04))
c(nr0_nc2p(m10), nr0_nc2p(m11), nr0_nc2p(m12), nr0_nc2p(m13), nr0_nc2p(m14))
c(nr0_nc2p(m20), nr0_nc2p(m21), nr0_nc2p(m22), nr0_nc2p(m23), nr0_nc2p(m24))
c(nr0_nc2p(m30), nr0_nc2p(m31), nr0_nc2p(m32), nr0_nc2p(m33), nr0_nc2p(m34))
c(nr0_nc2p(m40), nr0_nc2p(m41), nr0_nc2p(m42), nr0_nc2p(m43), nr0_nc2p(m44))
c(nr0_nc3p(m00), nr0_nc3p(m01), nr0_nc3p(m02), nr0_nc3p(m03), nr0_nc3p(m04))
c(nr0_nc3p(m10), nr0_nc3p(m11), nr0_nc3p(m12), nr0_nc3p(m13), nr0_nc3p(m14))
c(nr0_nc3p(m20), nr0_nc3p(m21), nr0_nc3p(m22), nr0_nc3p(m23), nr0_nc3p(m24))
c(nr0_nc3p(m30), nr0_nc3p(m31), nr0_nc3p(m32), nr0_nc3p(m33), nr0_nc3p(m34))
c(nr0_nc3p(m40), nr0_nc3p(m41), nr0_nc3p(m42), nr0_nc3p(m43), nr0_nc3p(m44))
c(nr1p_nc0(m00), nr1p_nc0(m01), nr1p_nc0(m02), nr1p_nc0(m03), nr1p_nc0(m04))
c(nr1p_nc0(m10), nr1p_nc0(m11), nr1p_nc0(m12), nr1p_nc0(m13), nr1p_nc0(m14))
c(nr1p_nc0(m20), nr1p_nc0(m21), nr1p_nc0(m22), nr1p_nc0(m23), nr1p_nc0(m24))
c(nr1p_nc0(m30), nr1p_nc0(m31), nr1p_nc0(m32), nr1p_nc0(m33), nr1p_nc0(m34))
c(nr1p_nc0(m40), nr1p_nc0(m41), nr1p_nc0(m42), nr1p_nc0(m43), nr1p_nc0(m44))
c(nr2p_nc0(m00), nr2p_nc0(m01), nr2p_nc0(m02), nr2p_nc0(m03), nr2p_nc0(m04))
c(nr2p_nc0(m10), nr2p_nc0(m11), nr2p_nc0(m12), nr2p_nc0(m13), nr2p_nc0(m14))
c(nr2p_nc0(m20), nr2p_nc0(m21), nr2p_nc0(m22), nr2p_nc0(m23), nr2p_nc0(m24))
c(nr2p_nc0(m30), nr2p_nc0(m31), nr2p_nc0(m32), nr2p_nc0(m33), nr2p_nc0(m34))
c(nr2p_nc0(m40), nr2p_nc0(m41), nr2p_nc0(m42), nr2p_nc0(m43), nr2p_nc0(m44))
c(nr3p_nc0(m00), nr3p_nc0(m01), nr3p_nc0(m02), nr3p_nc0(m03), nr3p_nc0(m04))
c(nr3p_nc0(m10), nr3p_nc0(m11), nr3p_nc0(m12), nr3p_nc0(m13), nr3p_nc0(m14))
c(nr3p_nc0(m20), nr3p_nc0(m21), nr3p_nc0(m22), nr3p_nc0(m23), nr3p_nc0(m24))
c(nr3p_nc0(m30), nr3p_nc0(m31), nr3p_nc0(m32), nr3p_nc0(m33), nr3p_nc0(m34))
c(nr3p_nc0(m40), nr3p_nc0(m41), nr3p_nc0(m42), nr3p_nc0(m43), nr3p_nc0(m44))
c(nr1p_nc1p(m00), nr1p_nc1p(m01), nr1p_nc1p(m02), nr1p_nc1p(m03), nr1p_nc1p(m04))
c(nr1p_nc1p(m10), nr1p_nc1p(m11), nr1p_nc1p(m12), nr1p_nc1p(m13), nr1p_nc1p(m14))
c(nr1p_nc1p(m20), nr1p_nc1p(m21), nr1p_nc1p(m22), nr1p_nc1p(m23), nr1p_nc1p(m24))
c(nr1p_nc1p(m30), nr1p_nc1p(m31), nr1p_nc1p(m32), nr1p_nc1p(m33), nr1p_nc1p(m34))
c(nr1p_nc1p(m40), nr1p_nc1p(m41), nr1p_nc1p(m42), nr1p_nc1p(m43), nr1p_nc1p(m44))
c(nr1p_nc2p(m00), nr1p_nc2p(m01), nr1p_nc2p(m02), nr1p_nc2p(m03), nr1p_nc2p(m04))
c(nr1p_nc2p(m10), nr1p_nc2p(m11), nr1p_nc2p(m12), nr1p_nc2p(m13), nr1p_nc2p(m14))
c(nr1p_nc2p(m20), nr1p_nc2p(m21), nr1p_nc2p(m22), nr1p_nc2p(m23), nr1p_nc2p(m24))
c(nr1p_nc2p(m30), nr1p_nc2p(m31), nr1p_nc2p(m32), nr1p_nc2p(m33), nr1p_nc2p(m34))
c(nr1p_nc2p(m40), nr1p_nc2p(m41), nr1p_nc2p(m42), nr1p_nc2p(m43), nr1p_nc2p(m44))
c(nr1p_nc3p(m00), nr1p_nc3p(m01), nr1p_nc3p(m02), nr1p_nc3p(m03), nr1p_nc3p(m04))
c(nr1p_nc3p(m10), nr1p_nc3p(m11), nr1p_nc3p(m12), nr1p_nc3p(m13), nr1p_nc3p(m14))
c(nr1p_nc3p(m20), nr1p_nc3p(m21), nr1p_nc3p(m22), nr1p_nc3p(m23), nr1p_nc3p(m24))
c(nr1p_nc3p(m30), nr1p_nc3p(m31), nr1p_nc3p(m32), nr1p_nc3p(m33), nr1p_nc3p(m34))
c(nr1p_nc3p(m40), nr1p_nc3p(m41), nr1p_nc3p(m42), nr1p_nc3p(m43), nr1p_nc3p(m44))
c(nr2p_nc1p(m00), nr2p_nc1p(m01), nr2p_nc1p(m02), nr2p_nc1p(m03), nr2p_nc1p(m04))
c(nr2p_nc1p(m10), nr2p_nc1p(m11), nr2p_nc1p(m12), nr2p_nc1p(m13), nr2p_nc1p(m14))
c(nr2p_nc1p(m20), nr2p_nc1p(m21), nr2p_nc1p(m22), nr2p_nc1p(m23), nr2p_nc1p(m24))
c(nr2p_nc1p(m30), nr2p_nc1p(m31), nr2p_nc1p(m32), nr2p_nc1p(m33), nr2p_nc1p(m34))
c(nr2p_nc1p(m40), nr2p_nc1p(m41), nr2p_nc1p(m42), nr2p_nc1p(m43), nr2p_nc1p(m44))
c(nr2p_nc2p(m00), nr2p_nc2p(m01), nr2p_nc2p(m02), nr2p_nc2p(m03), nr2p_nc2p(m04))
c(nr2p_nc2p(m10), nr2p_nc2p(m11), nr2p_nc2p(m12), nr2p_nc2p(m13), nr2p_nc2p(m14))
c(nr2p_nc2p(m20), nr2p_nc2p(m21), nr2p_nc2p(m22), nr2p_nc2p(m23), nr2p_nc2p(m24))
c(nr2p_nc2p(m30), nr2p_nc2p(m31), nr2p_nc2p(m32), nr2p_nc2p(m33), nr2p_nc2p(m34))
c(nr2p_nc2p(m40), nr2p_nc2p(m41), nr2p_nc2p(m42), nr2p_nc2p(m43), nr2p_nc2p(m44))
c(nr2p_nc3p(m00), nr2p_nc3p(m01), nr2p_nc3p(m02), nr2p_nc3p(m03), nr2p_nc3p(m04))
c(nr2p_nc3p(m10), nr2p_nc3p(m11), nr2p_nc3p(m12), nr2p_nc3p(m13), nr2p_nc3p(m14))
c(nr2p_nc3p(m20), nr2p_nc3p(m21), nr2p_nc3p(m22), nr2p_nc3p(m23), nr2p_nc3p(m24))
c(nr2p_nc3p(m30), nr2p_nc3p(m31), nr2p_nc3p(m32), nr2p_nc3p(m33), nr2p_nc3p(m34))
c(nr2p_nc3p(m40), nr2p_nc3p(m41), nr2p_nc3p(m42), nr2p_nc3p(m43), nr2p_nc3p(m44))
c(nr3p_nc1p(m00), nr3p_nc1p(m01), nr3p_nc1p(m02), nr3p_nc1p(m03), nr3p_nc1p(m04))
c(nr3p_nc1p(m10), nr3p_nc1p(m11), nr3p_nc1p(m12), nr3p_nc1p(m13), nr3p_nc1p(m14))
c(nr3p_nc1p(m20), nr3p_nc1p(m21), nr3p_nc1p(m22), nr3p_nc1p(m23), nr3p_nc1p(m24))
c(nr3p_nc1p(m30), nr3p_nc1p(m31), nr3p_nc1p(m32), nr3p_nc1p(m33), nr3p_nc1p(m34))
c(nr3p_nc1p(m40), nr3p_nc1p(m41), nr3p_nc1p(m42), nr3p_nc1p(m43), nr3p_nc1p(m44))
c(nr3p_nc2p(m00), nr3p_nc2p(m01), nr3p_nc2p(m02), nr3p_nc2p(m03), nr3p_nc2p(m04))
c(nr3p_nc2p(m10), nr3p_nc2p(m11), nr3p_nc2p(m12), nr3p_nc2p(m13), nr3p_nc2p(m14))
c(nr3p_nc2p(m20), nr3p_nc2p(m21), nr3p_nc2p(m22), nr3p_nc2p(m23), nr3p_nc2p(m24))
c(nr3p_nc2p(m30), nr3p_nc2p(m31), nr3p_nc2p(m32), nr3p_nc2p(m33), nr3p_nc2p(m34))
c(nr3p_nc2p(m40), nr3p_nc2p(m41), nr3p_nc2p(m42), nr3p_nc2p(m43), nr3p_nc2p(m44))
c(nr3p_nc3p(m00), nr3p_nc3p(m01), nr3p_nc3p(m02), nr3p_nc3p(m03), nr3p_nc3p(m04))
c(nr3p_nc3p(m10), nr3p_nc3p(m11), nr3p_nc3p(m12), nr3p_nc3p(m13), nr3p_nc3p(m14))
c(nr3p_nc3p(m20), nr3p_nc3p(m21), nr3p_nc3p(m22), nr3p_nc3p(m23), nr3p_nc3p(m24))
c(nr3p_nc3p(m30), nr3p_nc3p(m31), nr3p_nc3p(m32), nr3p_nc3p(m33), nr3p_nc3p(m34))
c(nr3p_nc3p(m40), nr3p_nc3p(m41), nr3p_nc3p(m42), nr3p_nc3p(m43), nr3p_nc3p(m44))
c(not_nr0_nc0(m00), not_nr0_nc0(m01), not_nr0_nc0(m02), not_nr0_nc0(m03), not_nr0_nc0(m04))
c(not_nr0_nc0(m10), not_nr0_nc0(m11), not_nr0_nc0(m12), not_nr0_nc0(m13), not_nr0_nc0(m14))
c(not_nr0_nc0(m20), not_nr0_nc0(m21), not_nr0_nc0(m22), not_nr0_nc0(m23), not_nr0_nc0(m24))
c(not_nr0_nc0(m30), not_nr0_nc0(m31), not_nr0_nc0(m32), not_nr0_nc0(m33), not_nr0_nc0(m34))
c(not_nr0_nc0(m40), not_nr0_nc0(m41), not_nr0_nc0(m42), not_nr0_nc0(m43), not_nr0_nc0(m44))
c(not_nr0_nc1(m00), not_nr0_nc1(m01), not_nr0_nc1(m02), not_nr0_nc1(m03), not_nr0_nc1(m04))
c(not_nr0_nc1(m10), not_nr0_nc1(m11), not_nr0_nc1(m12), not_nr0_nc1(m13), not_nr0_nc1(m14))
c(not_nr0_nc1(m20), not_nr0_nc1(m21), not_nr0_nc1(m22), not_nr0_nc1(m23), not_nr0_nc1(m24))
c(not_nr0_nc1(m30), not_nr0_nc1(m31), not_nr0_nc1(m32), not_nr0_nc1(m33), not_nr0_nc1(m34))
c(not_nr0_nc1(m40), not_nr0_nc1(m41), not_nr0_nc1(m42), not_nr0_nc1(m43), not_nr0_nc1(m44))
c(not_nr0_nc2(m00), not_nr0_nc2(m01), not_nr0_nc2(m02), not_nr0_nc2(m03), not_nr0_nc2(m04))
c(not_nr0_nc2(m10), not_nr0_nc2(m11), not_nr0_nc2(m12), not_nr0_nc2(m13), not_nr0_nc2(m14))
c(not_nr0_nc2(m20), not_nr0_nc2(m21), not_nr0_nc2(m22), not_nr0_nc2(m23), not_nr0_nc2(m24))
c(not_nr0_nc2(m30), not_nr0_nc2(m31), not_nr0_nc2(m32), not_nr0_nc2(m33), not_nr0_nc2(m34))
c(not_nr0_nc2(m40), not_nr0_nc2(m41), not_nr0_nc2(m42), not_nr0_nc2(m43), not_nr0_nc2(m44))
c(not_nr0_nc3(m00), not_nr0_nc3(m01), not_nr0_nc3(m02), not_nr0_nc3(m03), not_nr0_nc3(m04))
c(not_nr0_nc3(m10), not_nr0_nc3(m11), not_nr0_nc3(m12), not_nr0_nc3(m13), not_nr0_nc3(m14))
c(not_nr0_nc3(m20), not_nr0_nc3(m21), not_nr0_nc3(m22), not_nr0_nc3(m23), not_nr0_nc3(m24))
c(not_nr0_nc3(m30), not_nr0_nc3(m31), not_nr0_nc3(m32), not_nr0_nc3(m33), not_nr0_nc3(m34))
c(not_nr0_nc3(m40), not_nr0_nc3(m41), not_nr0_nc3(m42), not_nr0_nc3(m43), not_nr0_nc3(m44))
c(not_nr1_nc0(m00), not_nr1_nc0(m01), not_nr1_nc0(m02), not_nr1_nc0(m03), not_nr1_nc0(m04))
c(not_nr1_nc0(m10), not_nr1_nc0(m11), not_nr1_nc0(m12), not_nr1_nc0(m13), not_nr1_nc0(m14))
c(not_nr1_nc0(m20), not_nr1_nc0(m21), not_nr1_nc0(m22), not_nr1_nc0(m23), not_nr1_nc0(m24))
c(not_nr1_nc0(m30), not_nr1_nc0(m31), not_nr1_nc0(m32), not_nr1_nc0(m33), not_nr1_nc0(m34))
c(not_nr1_nc0(m40), not_nr1_nc0(m41), not_nr1_nc0(m42), not_nr1_nc0(m43), not_nr1_nc0(m44))
c(not_nr2_nc0(m00), not_nr2_nc0(m01), not_nr2_nc0(m02), not_nr2_nc0(m03), not_nr2_nc0(m04))
c(not_nr2_nc0(m10), not_nr2_nc0(m11), not_nr2_nc0(m12), not_nr2_nc0(m13), not_nr2_nc0(m14))
c(not_nr2_nc0(m20), not_nr2_nc0(m21), not_nr2_nc0(m22), not_nr2_nc0(m23), not_nr2_nc0(m24))
c(not_nr2_nc0(m30), not_nr2_nc0(m31), not_nr2_nc0(m32), not_nr2_nc0(m33), not_nr2_nc0(m34))
c(not_nr2_nc0(m40), not_nr2_nc0(m41), not_nr2_nc0(m42), not_nr2_nc0(m43), not_nr2_nc0(m44))
c(not_nr3_nc0(m00), not_nr3_nc0(m01), not_nr3_nc0(m02), not_nr3_nc0(m03), not_nr3_nc0(m04))
c(not_nr3_nc0(m10), not_nr3_nc0(m11), not_nr3_nc0(m12), not_nr3_nc0(m13), not_nr3_nc0(m14))
c(not_nr3_nc0(m20), not_nr3_nc0(m21), not_nr3_nc0(m22), not_nr3_nc0(m23), not_nr3_nc0(m24))
c(not_nr3_nc0(m30), not_nr3_nc0(m31), not_nr3_nc0(m32), not_nr3_nc0(m33), not_nr3_nc0(m34))
c(not_nr3_nc0(m40), not_nr3_nc0(m41), not_nr3_nc0(m42), not_nr3_nc0(m43), not_nr3_nc0(m44))
c(not_nr1_nc1(m00), not_nr1_nc1(m01), not_nr1_nc1(m02), not_nr1_nc1(m03), not_nr1_nc1(m04))
c(not_nr1_nc1(m10), not_nr1_nc1(m11), not_nr1_nc1(m12), not_nr1_nc1(m13), not_nr1_nc1(m14))
c(not_nr1_nc1(m20), not_nr1_nc1(m21), not_nr1_nc1(m22), not_nr1_nc1(m23), not_nr1_nc1(m24))
c(not_nr1_nc1(m30), not_nr1_nc1(m31), not_nr1_nc1(m32), not_nr1_nc1(m33), not_nr1_nc1(m34))
c(not_nr1_nc1(m40), not_nr1_nc1(m41), not_nr1_nc1(m42), not_nr1_nc1(m43), not_nr1_nc1(m44))
c(not_nr1_nc2(m00), not_nr1_nc2(m01), not_nr1_nc2(m02), not_nr1_nc2(m03), not_nr1_nc2(m04))
c(not_nr1_nc2(m10), not_nr1_nc2(m11), not_nr1_nc2(m12), not_nr1_nc2(m13), not_nr1_nc2(m14))
c(not_nr1_nc2(m20), not_nr1_nc2(m21), not_nr1_nc2(m22), not_nr1_nc2(m23), not_nr1_nc2(m24))
c(not_nr1_nc2(m30), not_nr1_nc2(m31), not_nr1_nc2(m32), not_nr1_nc2(m33), not_nr1_nc2(m34))
c(not_nr1_nc2(m40), not_nr1_nc2(m41), not_nr1_nc2(m42), not_nr1_nc2(m43), not_nr1_nc2(m44))
c(not_nr1_nc3(m00), not_nr1_nc3(m01), not_nr1_nc3(m02), not_nr1_nc3(m03), not_nr1_nc3(m04))
c(not_nr1_nc3(m10), not_nr1_nc3(m11), not_nr1_nc3(m12), not_nr1_nc3(m13), not_nr1_nc3(m14))
c(not_nr1_nc3(m20), not_nr1_nc3(m21), not_nr1_nc3(m22), not_nr1_nc3(m23), not_nr1_nc3(m24))
c(not_nr1_nc3(m30), not_nr1_nc3(m31), not_nr1_nc3(m32), not_nr1_nc3(m33), not_nr1_nc3(m34))
c(not_nr1_nc3(m40), not_nr1_nc3(m41), not_nr1_nc3(m42), not_nr1_nc3(m43), not_nr1_nc3(m44))
c(not_nr2_nc1(m00), not_nr2_nc1(m01), not_nr2_nc1(m02), not_nr2_nc1(m03), not_nr2_nc1(m04))
c(not_nr2_nc1(m10), not_nr2_nc1(m11), not_nr2_nc1(m12), not_nr2_nc1(m13), not_nr2_nc1(m14))
c(not_nr2_nc1(m20), not_nr2_nc1(m21), not_nr2_nc1(m22), not_nr2_nc1(m23), not_nr2_nc1(m24))
c(not_nr2_nc1(m30), not_nr2_nc1(m31), not_nr2_nc1(m32), not_nr2_nc1(m33), not_nr2_nc1(m34))
c(not_nr2_nc1(m40), not_nr2_nc1(m41), not_nr2_nc1(m42), not_nr2_nc1(m43), not_nr2_nc1(m44))
c(not_nr2_nc2(m00), not_nr2_nc2(m01), not_nr2_nc2(m02), not_nr2_nc2(m03), not_nr2_nc2(m04))
c(not_nr2_nc2(m10), not_nr2_nc2(m11), not_nr2_nc2(m12), not_nr2_nc2(m13), not_nr2_nc2(m14))
c(not_nr2_nc2(m20), not_nr2_nc2(m21), not_nr2_nc2(m22), not_nr2_nc2(m23), not_nr2_nc2(m24))
c(not_nr2_nc2(m30), not_nr2_nc2(m31), not_nr2_nc2(m32), not_nr2_nc2(m33), not_nr2_nc2(m34))
c(not_nr2_nc2(m40), not_nr2_nc2(m41), not_nr2_nc2(m42), not_nr2_nc2(m43), not_nr2_nc2(m44))
c(not_nr2_nc3(m00), not_nr2_nc3(m01), not_nr2_nc3(m02), not_nr2_nc3(m03), not_nr2_nc3(m04))
c(not_nr2_nc3(m10), not_nr2_nc3(m11), not_nr2_nc3(m12), not_nr2_nc3(m13), not_nr2_nc3(m14))
c(not_nr2_nc3(m20), not_nr2_nc3(m21), not_nr2_nc3(m22), not_nr2_nc3(m23), not_nr2_nc3(m24))
c(not_nr2_nc3(m30), not_nr2_nc3(m31), not_nr2_nc3(m32), not_nr2_nc3(m33), not_nr2_nc3(m34))
c(not_nr2_nc3(m40), not_nr2_nc3(m41), not_nr2_nc3(m42), not_nr2_nc3(m43), not_nr2_nc3(m44))
c(not_nr3_nc1(m00), not_nr3_nc1(m11), not_nr3_nc1(m12), not_nr3_nc1(m13), not_nr3_nc1(m14))
c(not_nr3_nc1(m20), not_nr3_nc1(m21), not_nr3_nc1(m22), not_nr3_nc1(m23), not_nr3_nc1(m24))
c(not_nr3_nc1(m30), not_nr3_nc1(m31), not_nr3_nc1(m32), not_nr3_nc1(m33), not_nr3_nc1(m34))
c(not_nr3_nc1(m40), not_nr3_nc1(m41), not_nr3_nc1(m42), not_nr3_nc1(m43), not_nr3_nc1(m44))
c(not_nr3_nc2(m00), not_nr3_nc2(m01), not_nr3_nc2(m02), not_nr3_nc2(m03), not_nr3_nc2(m04))
c(not_nr3_nc2(m10), not_nr3_nc2(m11), not_nr3_nc2(m12), not_nr3_nc2(m13), not_nr3_nc2(m14))
c(not_nr3_nc2(m20), not_nr3_nc2(m21), not_nr3_nc2(m22), not_nr3_nc2(m23), not_nr3_nc2(m24))
c(not_nr3_nc2(m30), not_nr3_nc2(m31), not_nr3_nc2(m32), not_nr3_nc2(m33), not_nr3_nc2(m34))
c(not_nr3_nc2(m40), not_nr3_nc2(m41), not_nr3_nc2(m42), not_nr3_nc2(m43), not_nr3_nc2(m44))
c(not_nr3_nc3(m00), not_nr3_nc3(m01), not_nr3_nc3(m02), not_nr3_nc3(m03), not_nr3_nc3(m04))
c(not_nr3_nc3(m10), not_nr3_nc3(m11), not_nr3_nc3(m12), not_nr3_nc3(m13), not_nr3_nc3(m14))
c(not_nr3_nc3(m20), not_nr3_nc3(m21), not_nr3_nc3(m22), not_nr3_nc3(m23), not_nr3_nc3(m24))
c(not_nr3_nc3(m30), not_nr3_nc3(m31), not_nr3_nc3(m32), not_nr3_nc3(m33), not_nr3_nc3(m34))
c(not_nr3_nc3(m40), not_nr3_nc3(m41), not_nr3_nc3(m42), not_nr3_nc3(m43), not_nr3_nc3(m44))
c(not_nr0_nc1p(m00), not_nr0_nc1p(m01), not_nr0_nc1p(m02), not_nr0_nc1p(m03), not_nr0_nc1p(m04))
c(not_nr0_nc1p(m10), not_nr0_nc1p(m11), not_nr0_nc1p(m12), not_nr0_nc1p(m13), not_nr0_nc1p(m14))
c(not_nr0_nc1p(m20), not_nr0_nc1p(m21), not_nr0_nc1p(m22), not_nr0_nc1p(m23), not_nr0_nc1p(m24))
c(not_nr0_nc1p(m30), not_nr0_nc1p(m31), not_nr0_nc1p(m32), not_nr0_nc1p(m33), not_nr0_nc1p(m34))
c(not_nr0_nc1p(m40), not_nr0_nc1p(m41), not_nr0_nc1p(m42), not_nr0_nc1p(m43), not_nr0_nc1p(m44))
c(not_nr0_nc2p(m00), not_nr0_nc2p(m01), not_nr0_nc2p(m02), not_nr0_nc2p(m03), not_nr0_nc2p(m04))
c(not_nr0_nc2p(m10), not_nr0_nc2p(m11), not_nr0_nc2p(m12), not_nr0_nc2p(m13), not_nr0_nc2p(m14))
c(not_nr0_nc2p(m20), not_nr0_nc2p(m21), not_nr0_nc2p(m22), not_nr0_nc2p(m23), not_nr0_nc2p(m24))
c(not_nr0_nc2p(m30), not_nr0_nc2p(m31), not_nr0_nc2p(m32), not_nr0_nc2p(m33), not_nr0_nc2p(m34))
c(not_nr0_nc2p(m40), not_nr0_nc2p(m41), not_nr0_nc2p(m42), not_nr0_nc2p(m43), not_nr0_nc2p(m44))
c(not_nr0_nc3p(m00), not_nr0_nc3p(m01), not_nr0_nc3p(m02), not_nr0_nc3p(m03), not_nr0_nc3p(m04))
c(not_nr0_nc3p(m10), not_nr0_nc3p(m11), not_nr0_nc3p(m12), not_nr0_nc3p(m13), not_nr0_nc3p(m14))
c(not_nr0_nc3p(m20), not_nr0_nc3p(m21), not_nr0_nc3p(m22), not_nr0_nc3p(m23), not_nr0_nc3p(m24))
c(not_nr0_nc3p(m30), not_nr0_nc3p(m31), not_nr0_nc3p(m32), not_nr0_nc3p(m33), not_nr0_nc3p(m34))
c(not_nr0_nc3p(m40), not_nr0_nc3p(m41), not_nr0_nc3p(m42), not_nr0_nc3p(m43), not_nr0_nc3p(m44))
c(not_nr1p_nc0(m00), not_nr1p_nc0(m01), not_nr1p_nc0(m02), not_nr1p_nc0(m03), not_nr1p_nc0(m04))
c(not_nr1p_nc0(m10), not_nr1p_nc0(m11), not_nr1p_nc0(m12), not_nr1p_nc0(m13), not_nr1p_nc0(m14))
c(not_nr1p_nc0(m20), not_nr1p_nc0(m21), not_nr1p_nc0(m22), not_nr1p_nc0(m23), not_nr1p_nc0(m24))
c(not_nr1p_nc0(m30), not_nr1p_nc0(m31), not_nr1p_nc0(m32), not_nr1p_nc0(m33), not_nr1p_nc0(m34))
c(not_nr1p_nc0(m40), not_nr1p_nc0(m41), not_nr1p_nc0(m42), not_nr1p_nc0(m43), not_nr1p_nc0(m44))
c(not_nr2p_nc0(m00), not_nr2p_nc0(m01), not_nr2p_nc0(m02), not_nr2p_nc0(m03), not_nr2p_nc0(m04))
c(not_nr2p_nc0(m10), not_nr2p_nc0(m11), not_nr2p_nc0(m12), not_nr2p_nc0(m13), not_nr2p_nc0(m14))
c(not_nr2p_nc0(m20), not_nr2p_nc0(m21), not_nr2p_nc0(m22), not_nr2p_nc0(m23), not_nr2p_nc0(m24))
c(not_nr2p_nc0(m30), not_nr2p_nc0(m31), not_nr2p_nc0(m32), not_nr2p_nc0(m33), not_nr2p_nc0(m34))
c(not_nr2p_nc0(m40), not_nr2p_nc0(m41), not_nr2p_nc0(m42), not_nr2p_nc0(m43), not_nr2p_nc0(m44))
c(not_nr3p_nc0(m00), not_nr3p_nc0(m01), not_nr3p_nc0(m02), not_nr3p_nc0(m03), not_nr3p_nc0(m04))
c(not_nr3p_nc0(m10), not_nr3p_nc0(m11), not_nr3p_nc0(m12), not_nr3p_nc0(m13), not_nr3p_nc0(m14))
c(not_nr3p_nc0(m20), not_nr3p_nc0(m21), not_nr3p_nc0(m22), not_nr3p_nc0(m23), not_nr3p_nc0(m24))
c(not_nr3p_nc0(m30), not_nr3p_nc0(m31), not_nr3p_nc0(m32), not_nr3p_nc0(m33), not_nr3p_nc0(m34))
c(not_nr3p_nc0(m40), not_nr3p_nc0(m41), not_nr3p_nc0(m42), not_nr3p_nc0(m43), not_nr3p_nc0(m44))
c(not_nr1p_nc1p(m00), not_nr1p_nc1p(m01), not_nr1p_nc1p(m02), not_nr1p_nc1p(m03), not_nr1p_nc1p(m04))
c(not_nr1p_nc1p(m10), not_nr1p_nc1p(m11), not_nr1p_nc1p(m12), not_nr1p_nc1p(m13), not_nr1p_nc1p(m14))
c(not_nr1p_nc1p(m20), not_nr1p_nc1p(m21), not_nr1p_nc1p(m22), not_nr1p_nc1p(m23), not_nr1p_nc1p(m24))
c(not_nr1p_nc1p(m30), not_nr1p_nc1p(m31), not_nr1p_nc1p(m32), not_nr1p_nc1p(m33), not_nr1p_nc1p(m34))
c(not_nr1p_nc1p(m40), not_nr1p_nc1p(m41), not_nr1p_nc1p(m42), not_nr1p_nc1p(m43), not_nr1p_nc1p(m44))
c(not_nr1p_nc2p(m00), not_nr1p_nc2p(m01), not_nr1p_nc2p(m02), not_nr1p_nc2p(m03), not_nr1p_nc2p(m04))
c(not_nr1p_nc2p(m10), not_nr1p_nc2p(m11), not_nr1p_nc2p(m12), not_nr1p_nc2p(m13), not_nr1p_nc2p(m14))
c(not_nr1p_nc2p(m20), not_nr1p_nc2p(m21), not_nr1p_nc2p(m22), not_nr1p_nc2p(m23), not_nr1p_nc2p(m24))
c(not_nr1p_nc2p(m30), not_nr1p_nc2p(m31), not_nr1p_nc2p(m32), not_nr1p_nc2p(m33), not_nr1p_nc2p(m34))
c(not_nr1p_nc2p(m40), not_nr1p_nc2p(m41), not_nr1p_nc2p(m42), not_nr1p_nc2p(m43), not_nr1p_nc2p(m44))
c(not_nr1p_nc3p(m00), not_nr1p_nc3p(m01), not_nr1p_nc3p(m02), not_nr1p_nc3p(m03), not_nr1p_nc3p(m04))
c(not_nr1p_nc3p(m10), not_nr1p_nc3p(m11), not_nr1p_nc3p(m12), not_nr1p_nc3p(m13), not_nr1p_nc3p(m14))
c(not_nr1p_nc3p(m20), not_nr1p_nc3p(m21), not_nr1p_nc3p(m22), not_nr1p_nc3p(m23), not_nr1p_nc3p(m24))
c(not_nr1p_nc3p(m30), not_nr1p_nc3p(m31), not_nr1p_nc3p(m32), not_nr1p_nc3p(m33), not_nr1p_nc3p(m34))
c(not_nr1p_nc3p(m40), not_nr1p_nc3p(m41), not_nr1p_nc3p(m42), not_nr1p_nc3p(m43), not_nr1p_nc3p(m44))
c(not_nr2p_nc1p(m00), not_nr2p_nc1p(m01), not_nr2p_nc1p(m02), not_nr2p_nc1p(m03), not_nr2p_nc1p(m04))
c(not_nr2p_nc1p(m10), not_nr2p_nc1p(m11), not_nr2p_nc1p(m12), not_nr2p_nc1p(m13), not_nr2p_nc1p(m14))
c(not_nr2p_nc1p(m20), not_nr2p_nc1p(m21), not_nr2p_nc1p(m22), not_nr2p_nc1p(m23), not_nr2p_nc1p(m24))
c(not_nr2p_nc1p(m30), not_nr2p_nc1p(m31), not_nr2p_nc1p(m32), not_nr2p_nc1p(m33), not_nr2p_nc1p(m34))
c(not_nr2p_nc1p(m40), not_nr2p_nc1p(m41), not_nr2p_nc1p(m42), not_nr2p_nc1p(m43), not_nr2p_nc1p(m44))
c(not_nr2p_nc2p(m00), not_nr2p_nc2p(m01), not_nr2p_nc2p(m02), not_nr2p_nc2p(m03), not_nr2p_nc2p(m04))
c(not_nr2p_nc2p(m10), not_nr2p_nc2p(m11), not_nr2p_nc2p(m12), not_nr2p_nc2p(m13), not_nr2p_nc2p(m14))
c(not_nr2p_nc2p(m20), not_nr2p_nc2p(m21), not_nr2p_nc2p(m22), not_nr2p_nc2p(m23), not_nr2p_nc2p(m24))
c(not_nr2p_nc2p(m30), not_nr2p_nc2p(m31), not_nr2p_nc2p(m32), not_nr2p_nc2p(m33), not_nr2p_nc2p(m34))
c(not_nr2p_nc2p(m40), not_nr2p_nc2p(m41), not_nr2p_nc2p(m42), not_nr2p_nc2p(m43), not_nr2p_nc2p(m44))
c(not_nr2p_nc3p(m00), not_nr2p_nc3p(m01), not_nr2p_nc3p(m02), not_nr2p_nc3p(m03), not_nr2p_nc3p(m04))
c(not_nr2p_nc3p(m10), not_nr2p_nc3p(m11), not_nr2p_nc3p(m12), not_nr2p_nc3p(m13), not_nr2p_nc3p(m14))
c(not_nr2p_nc3p(m20), not_nr2p_nc3p(m21), not_nr2p_nc3p(m22), not_nr2p_nc3p(m23), not_nr2p_nc3p(m24))
c(not_nr2p_nc3p(m30), not_nr2p_nc3p(m31), not_nr2p_nc3p(m32), not_nr2p_nc3p(m33), not_nr2p_nc3p(m34))
c(not_nr2p_nc3p(m40), not_nr2p_nc3p(m41), not_nr2p_nc3p(m42), not_nr2p_nc3p(m43), not_nr2p_nc3p(m44))
c(not_nr3p_nc1p(m00), not_nr3p_nc1p(m01), not_nr3p_nc1p(m02), not_nr3p_nc1p(m03), not_nr3p_nc1p(m04))
c(not_nr3p_nc1p(m10), not_nr3p_nc1p(m11), not_nr3p_nc1p(m12), not_nr3p_nc1p(m13), not_nr3p_nc1p(m14))
c(not_nr3p_nc1p(m20), not_nr3p_nc1p(m21), not_nr3p_nc1p(m22), not_nr3p_nc1p(m23), not_nr3p_nc1p(m24))
c(not_nr3p_nc1p(m30), not_nr3p_nc1p(m31), not_nr3p_nc1p(m32), not_nr3p_nc1p(m33), not_nr3p_nc1p(m34))
c(not_nr3p_nc1p(m40), not_nr3p_nc1p(m41), not_nr3p_nc1p(m42), not_nr3p_nc1p(m43), not_nr3p_nc1p(m44))
c(not_nr3p_nc2p(m00), not_nr3p_nc2p(m01), not_nr3p_nc2p(m02), not_nr3p_nc2p(m03), not_nr3p_nc2p(m04))
c(not_nr3p_nc2p(m10), not_nr3p_nc2p(m11), not_nr3p_nc2p(m12), not_nr3p_nc2p(m13), not_nr3p_nc2p(m14))
c(not_nr3p_nc2p(m20), not_nr3p_nc2p(m21), not_nr3p_nc2p(m22), not_nr3p_nc2p(m23), not_nr3p_nc2p(m24))
c(not_nr3p_nc2p(m30), not_nr3p_nc2p(m31), not_nr3p_nc2p(m32), not_nr3p_nc2p(m33), not_nr3p_nc2p(m34))
c(not_nr3p_nc2p(m40), not_nr3p_nc2p(m41), not_nr3p_nc2p(m42), not_nr3p_nc2p(m43), not_nr3p_nc2p(m44))
c(not_nr3p_nc3p(m00), not_nr3p_nc3p(m01), not_nr3p_nc3p(m02), not_nr3p_nc3p(m03), not_nr3p_nc3p(m04))
c(not_nr3p_nc3p(m10), not_nr3p_nc3p(m11), not_nr3p_nc3p(m12), not_nr3p_nc3p(m13), not_nr3p_nc3p(m14))
c(not_nr3p_nc3p(m20), not_nr3p_nc3p(m21), not_nr3p_nc3p(m22), not_nr3p_nc3p(m23), not_nr3p_nc3p(m24))
c(not_nr3p_nc3p(m30), not_nr3p_nc3p(m31), not_nr3p_nc3p(m32), not_nr3p_nc3p(m33), not_nr3p_nc3p(m34))
c(not_nr3p_nc3p(m40), not_nr3p_nc3p(m41), not_nr3p_nc3p(m42), not_nr3p_nc3p(m43), not_nr3p_nc3p(m44))
##
## DEFINE ARRAY VARIABLE SET
##
a <- function(...) {array(1, dim = unlist(list(...), use.names = F))}
a0 <- NULL
a1 <- a(1)
a11 <- a(1, 1)
a111 <- a(1, 1, 1)
a1111 <- a(1, 1, 1, 1)
##
## DEMO [ndim], [ndimX], [ndimXp], [not_ndimX], AND [not_ndimXp] FUNCTIONS
##
c(ndim(a0), ndim(a1), ndim(a11), ndim(a111), ndim(a1111))
c(ndim0(a0), ndim0(a1), ndim0(a11), ndim0(a111), ndim0(a1111))
c(ndim1(a0), ndim1(a1), ndim1(a11), ndim1(a111), ndim1(a1111))
c(ndim2(a0), ndim2(a1), ndim2(a11), ndim2(a111), ndim2(a1111))
c(ndim3(a0), ndim3(a1), ndim3(a11), ndim3(a111), ndim3(a1111))
c(ndim1p(a0), ndim1p(a1), ndim1p(a11), ndim1p(a111), ndim1p(a1111))
c(ndim2p(a0), ndim2p(a1), ndim2p(a11), ndim2p(a111), ndim2p(a1111))
c(ndim3p(a0), ndim3p(a1), ndim3p(a11), ndim3p(a111), ndim3p(a1111))
c(not_ndim0(a0), not_ndim0(a1), not_ndim0(a11), not_ndim0(a111), not_ndim0(a1111))
c(not_ndim1(a0), not_ndim1(a1), not_ndim1(a11), not_ndim1(a111), not_ndim1(a1111))
c(not_ndim2(a0), not_ndim2(a1), not_ndim2(a11), not_ndim2(a111), not_ndim2(a1111))
c(not_ndim3(a0), not_ndim3(a1), not_ndim3(a11), not_ndim3(a111), not_ndim3(a1111))
c(not_ndim1p(a0), not_ndim1p(a1), not_ndim1p(a11), not_ndim1p(a111), not_ndim1p(a1111))
c(not_ndim2p(a0), not_ndim2p(a1), not_ndim2p(a11), not_ndim2p(a111), not_ndim2p(a1111))
c(not_ndim3p(a0), not_ndim3p(a1), not_ndim3p(a11), not_ndim3p(a111), not_ndim3p(a1111))
##
## DEFINE [NA] VARIABLE SET
##
na0 <- na1 <- na2 <- na3 <- na4 <- letters
na1[5] <- NA
na2[c(5, 10)] <- NA
na3[c(5, 10, 15)] <- NA
na4[c(5, 10, 15, 25)] <- NA
##
## DEMO [nnav], [nnavX], [nnavXp], [not_nnavX], AND [not_nnavXp] FUNCTIONS
##
c(nnav(na0), nnav(na1), nnav(na2), nnav(na3), nnav(na4))
c(nnav0(na0), nnav0(na1), nnav0(na2), nnav0(na3), nnav0(na4))
c(nnav1(na0), nnav1(na1), nnav1(na2), nnav1(na3), nnav1(na4))
c(nnav2(na0), nnav2(na1), nnav2(na2), nnav2(na3), nnav2(na4))
c(nnav3(na0), nnav3(na1), nnav3(na2), nnav3(na3), nnav3(na4))
c(nnav1p(na0), nnav1p(na1), nnav1p(na2), nnav1p(na3), nnav1p(na4))
c(nnav2p(na0), nnav2p(na1), nnav2p(na2), nnav2p(na3), nnav2p(na4))
c(nnav3p(na0), nnav3p(na1), nnav3p(na2), nnav3p(na3), nnav3p(na4))
c(not_nnav0(na0), not_nnav0(na1), not_nnav0(na2), not_nnav0(na3), not_nnav0(na4))
c(not_nnav1(na0), not_nnav1(na1), not_nnav1(na2), not_nnav1(na3), not_nnav1(na4))
c(not_nnav2(na0), not_nnav2(na1), not_nnav2(na2), not_nnav2(na3), not_nnav2(na4))
c(not_nnav3(na0), not_nnav3(na1), not_nnav3(na2), not_nnav3(na3), not_nnav3(na4))
c(not_nnav1p(na0), not_nnav1p(na1), not_nnav1p(na2), not_nnav1p(na3), not_nnav1p(na4))
c(not_nnav2p(na0), not_nnav2p(na1), not_nnav2p(na2), not_nnav2p(na3), not_nnav2p(na4))
c(not_nnav3p(na0), not_nnav3p(na1), not_nnav3p(na2), not_nnav3p(na3), not_nnav3p(na4))
##
## DEFINE [OK] VARIABLE SET
##
ok0 <- ok1 <- ok2 <- ok3 <- ok4 <- 0:9
ok0[1:10] <- NA
ok1[1:9] <- NA
ok2[1:8] <- NA
ok3[1:7] <- NA
ok4[1:6] <- NA
##
## DEMO [nokv], [nokvX], [nokvXp], [not_nokvX], AND [not_nokvXp] FUNCTIONS
##
c(nokv(ok0), nokv(ok1), nokv(ok2), nokv(ok3), nokv(ok4))
c(nokv0(ok0), nokv0(ok1), nokv0(ok2), nokv0(ok3), nokv0(ok4))
c(nokv1(ok0), nokv1(ok1), nokv1(ok2), nokv1(ok3), nokv1(ok4))
c(nokv2(ok0), nokv2(ok1), nokv2(ok2), nokv2(ok3), nokv2(ok4))
c(nokv3(ok0), nokv3(ok1), nokv3(ok2), nokv3(ok3), nokv3(ok4))
c(nokv1p(ok0), nokv1p(ok1), nokv1p(ok2), nokv1p(ok3), nokv1p(ok4))
c(nokv2p(ok0), nokv2p(ok1), nokv2p(ok2), nokv2p(ok3), nokv2p(ok4))
c(nokv3p(ok0), nokv3p(ok1), nokv3p(ok2), nokv3p(ok3), nokv3p(ok4))
c(not_nokv0(ok0), not_nokv0(ok1), not_nokv0(ok2), not_nokv0(ok3), not_nokv0(ok4))
c(not_nokv1(ok0), not_nokv1(ok1), not_nokv1(ok2), not_nokv1(ok3), not_nokv1(ok4))
c(not_nokv2(ok0), not_nokv2(ok1), not_nokv2(ok2), not_nokv2(ok3), not_nokv2(ok4))
c(not_nokv3(ok0), not_nokv3(ok1), not_nokv3(ok2), not_nokv3(ok3), not_nokv3(ok4))
c(not_nokv1p(ok0), not_nokv1p(ok1), not_nokv1p(ok2), not_nokv1p(ok3), not_nokv1p(ok4))
c(not_nokv2p(ok0), not_nokv2p(ok1), not_nokv2p(ok2), not_nokv2p(ok3), not_nokv2p(ok4))
c(not_nokv3p(ok0), not_nokv3p(ok1), not_nokv3p(ok2), not_nokv3p(ok3), not_nokv3p(ok4))
##
## DEFINE LIST VARIABLE SET
##
NS0 <- list(a = NULL, b = NULL)
NS1 <- list(a = 1, b = 2)
NS2 <- list(a = 1:2, b = 3:4)
NS3 <- list(a = 1:3, b = 4:6)
NS4 <- list(a = 1:4, b = 5:8)
NSx <- list(a = 1, b = 2:3)
##
## DEMO [ns], [nsX], [nxXp], [not_nsX], AND [not_nsXp] FUNCTIONS
##
list(NS0 = ns(NS0), NS1 = ns(NS1), NS2 = ns(NS2), NS3 = ns(NS3), NS4 = ns(NS4), NSx = ns(NSx))
c(ns0(NS0), ns0(NS1), ns0(NS2), ns0(NS3), ns0(NS4), ns0(NSx))
c(ns1(NS0), ns1(NS1), ns1(NS2), ns1(NS3), ns1(NS4), ns1(NSx))
c(ns2(NS0), ns2(NS1), ns2(NS2), ns2(NS3), ns2(NS4), ns2(NSx))
c(ns3(NS0), ns3(NS1), ns3(NS2), ns3(NS3), ns3(NS4), ns3(NSx))
c(ns1p(NS0), ns1p(NS1), ns1p(NS2), ns1p(NS3), ns1p(NS4), ns1p(NSx))
c(ns2p(NS0), ns2p(NS1), ns2p(NS2), ns2p(NS3), ns2p(NS4), ns2p(NSx))
c(ns3p(NS0), ns3p(NS1), ns3p(NS2), ns3p(NS3), ns3p(NS4), ns3p(NSx))
c(not_ns0(NS0), not_ns0(NS1), not_ns0(NS2), not_ns0(NS3), not_ns0(NS4), not_ns0(NSx))
c(not_ns1(NS0), not_ns1(NS1), not_ns1(NS2), not_ns1(NS3), not_ns1(NS4), not_ns1(NSx))
c(not_ns2(NS0), not_ns2(NS1), not_ns2(NS2), not_ns2(NS3), not_ns2(NS4), not_ns2(NSx))
c(not_ns3(NS0), not_ns3(NS1), not_ns3(NS2), not_ns3(NS3), not_ns3(NS4), not_ns3(NSx))
c(not_ns1p(NS0), not_ns1p(NS1), not_ns1p(NS2), not_ns1p(NS3), not_ns1p(NS4), not_ns1p(NSx))
c(not_ns2p(NS0), not_ns2p(NS1), not_ns2p(NS2), not_ns2p(NS3), not_ns2p(NS4), not_ns2p(NSx))
c(not_ns3p(NS0), not_ns3p(NS1), not_ns3p(NS2), not_ns3p(NS3), not_ns3p(NS4), not_ns3p(NSx))
j-martineau/uj documentation built on Sept. 14, 2024, 4:40 a.m.
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| N | R Documentation |
Dedicated counting functions
Description
Dedicated counting functions
Usage
N()
n_check(x, .n = NULL, .min = NULL, .max = NULL, .eq = F)
n0(x)
n1(x)
n2(x)
n3(x)
n1p(x)
n2p(x)
n3p(x)
not_n0(x)
not_n1(x)
not_n2(x)
not_n3(x)
not_n1p(x)
not_n2p(x)
not_n3p(x)
nd()
ndots()
nd0(...)
nd1(...)
nd2(...)
nd3(...)
nd1p(...)
nd2p(...)
nd3p(...)
not_nd0(...)
not_nd1(...)
not_nd2(...)
not_nd3(...)
not_nd1p(...)
not_nd2p(...)
not_nd3p(...)
nu(x)
nunq(x)
nu0(x)
nu1(x)
nu2(x)
nu3(x)
nu1p(x)
nu2p(x)
nu3p(x)
not_nu0(x)
not_nu1(x)
not_nu2(x)
not_nu3(x)
not_nu1p(x)
not_nu2p(x)
not_nu3p(x)
nv(...)
nval(...)
nv0(...)
nv1(...)
nv2(...)
nv3(...)
nv1p(...)
nv2p(...)
nv3p(...)
not_nv0(...)
not_nv1(...)
not_nv2(...)
not_nv3(...)
not_nv1p(...)
not_nv2p(...)
not_nv3p(...)
nw(x)
nw0(x)
nw1(x)
nw2(x)
nw3(x)
nw1p(x)
nw2p(x)
nw3p(x)
not_nw0(x)
not_nw1(x)
not_nw2(x)
not_nw3(x)
not_nw1p(x)
not_nw2p(x)
not_nw3p(x)
neq(x, y)
ndif(x, y)
nr(x)
nr0(x)
nr1(x)
nr2(x)
nr3(x)
nr1p(x)
nr2p(x)
nr3p(x)
not_nr0(x)
not_nr1(x)
not_nr2(x)
not_nr3(x)
not_nr1p(x)
not_nr2p(x)
not_nr3p(x)
nc(x)
nc0(x)
nc1(x)
nc2(x)
nc3(x)
nc1p(x)
nc2p(x)
nc3p(x)
not_nc0(x)
not_nc1(x)
not_nc2(x)
not_nc3(x)
not_nc1p(x)
not_nc2p(x)
not_nc3p(x)
nrc(x)
nrc0(x)
nrc1(x)
nrc2(x)
nrc1p(x)
nrc2p(x)
not_nrc0(x)
not_nrc1(x)
not_nrc2p(x)
nr0_nc0(x)
nr0_nc1(x)
nr0_nc2(x)
nr0_nc3(x)
nr0_nc1p(x)
nr0_nc2p(x)
nr0_nc3p(x)
nr1_nc0(x)
nr1_nc1(x)
nr1_nc2(x)
nr1_nc3(x)
nr1_nc1p(x)
nr1_nc2p(x)
nr1_nc3p(x)
nr2_nc0(x)
nr2_nc1(x)
nr2_nc2(x)
nr2_nc3(x)
nr2_nc1p(x)
nr2_nc2p(x)
nr2_nc3p(x)
nr3_nc0(x)
nr3_nc1(x)
nr3_nc2(x)
nr3_nc3(x)
nr1p_nc0(x)
nr1p_nc1(x)
nr1p_nc2(x)
nr1p_nc3(x)
nr1p_nc1p(x)
nr1p_nc2p(x)
nr1p_nc3p(x)
nr2p_nc0(x)
nr2p_nc1(x)
nr2p_nc2(x)
nr2p_nc3(x)
nr2p_nc1p(x)
nr2p_nc2p(x)
nr2p_nc3p(x)
nr3p_nc0(x)
nr3p_nc1(x)
nr3p_nc2(x)
nr3p_nc3(x)
nr3p_nc1p(x)
nr3p_nc2p(x)
nr3p_nc3p(x)
not_nr0_nc0(x)
not_nr0_nc1(x)
not_nr0_nc2(x)
not_nr0_nc3(x)
not_nr0_nc1p(x)
not_nr0_nc2p(x)
not_nr0_nc3p(x)
not_nr1_nc0(x)
not_nr1_nc1(x)
not_nr1_nc2(x)
not_nr1_nc3(x)
not_nr1_nc1p(x)
not_nr1_nc2p(x)
not_nr1_nc3p(x)
not_nr2_nc0(x)
not_nr2_nc1(x)
not_nr2_nc2(x)
not_nr2_nc3(x)
not_nr2_nc1p(x)
not_nr2_nc2p(x)
not_nr2_nc3p(x)
not_nr3_nc0(x)
not_nr3_nc1(x)
not_nr3_nc2(x)
not_nr3_nc3(x)
not_nr3_nc1p(x)
not_nr3_nc2p(x)
not_nr3_nc3p(x)
not_nr1p_nc0(x)
not_nr1p_nc1(x)
not_nr1p_nc2(x)
not_nr1p_nc1p(x)
not_nr1p_nc2p(x)
not_nr1p_nc3p(x)
not_nr2p_nc0(x)
not_nr2p_nc1(x)
not_nr2p_nc2(x)
not_nr2p_nc1p(x)
not_nr2p_nc2p(x)
not_nr2p_nc3p(x)
not_nr3p_nc0(x)
not_nr3p_nc1(x)
not_nr3p_nc2(x)
not_nr3p_nc1p(x)
not_nr3p_nc2p(x)
not_nr3p_nc3p(x)
ndim(x)
ndim0(x)
ndim1(x)
ndim2(x)
ndim3(x)
ndim1p(x)
ndim2p(x)
ndim3p(x)
not_ndim0(x)
not_ndim1(x)
not_ndim2(x)
not_ndim3(x)
not_ndim1p(x)
not_ndim2p(x)
not_ndim3p(x)
nnav(x)
nnav0(x)
nnav1(x)
nnav2(x)
nnav3(x)
nnav1p(x)
nnav2p(x)
nnav3p(x)
not_nnav0(x)
not_nnav1(x)
not_nnav2(x)
not_nnav3(x)
not_nnav1p(x)
not_nnav2p(x)
not_nnav3p(x)
nokv(x)
nokv0(x)
nokv1(x)
nokv2(x)
nokv3(x)
nokv1p(x)
nokv2p(x)
nokv3p(x)
not_nokv0(x)
not_nokv1(x)
not_nokv2(x)
not_nokv3(x)
not_nokv1p(x)
not_nokv2p(x)
not_nokv3p(x)
ns(x)
ns0(x)
ns1(x)
ns2(x)
ns3(x)
ns1p(x)
ns2p(x)
ns3p(x)
not_ns0(x)
not_ns1(x)
not_ns2(x)
not_ns3(x)
not_ns1p(x)
not_ns2p(x)
not_ns3p(x)
...n(
...,
.n = NULL,
.min = NULL,
.max = NULL,
.eq = F,
.a = F,
.na = T,
.vals = NULL,
.lt = NULL,
.le = NULL,
.ge = NULL,
.gt = NULL
)
...n0(...)
...n1(...)
...n2(...)
...n3(...)
...n1p(...)
...n2p(...)
...n3p(...)
...not_n0(...)
...not_n1(...)
...not_n2(...)
...not_n3(...)
...not_n1p(...)
...not_n2p(...)
...not_n3p(...)
...ns(
...,
.n = NULL,
.min = NULL,
.max = NULL,
.na = T,
.vals = NULL,
.lt = NULL,
.le = NULL,
.ge = NULL,
.gt = NULL
)
...minn(
...,
.na = T,
.vals = NULL,
.lt = NULL,
.le = NULL,
.ge = NULL,
.gt = NULL
)
...maxn(
...,
.na = T,
.vals = NULL,
.lt = NULL,
.le = NULL,
.ge = NULL,
.gt = NULL
)
...neq(
...,
.min = NULL,
.max = NULL,
.na = T,
.vals = NULL,
.lt = NULL,
.le = NULL,
.ge = NULL,
.gt = NULL
)
...nw(..., .n = NULL, .min = NULL, .max = NULL, .eq = F, .na = F, .a = T)
...nt(..., .n = NULL, .min = NULL, .max = NULL, .eq = F, .na = F, .a = T)
...nf(..., .n = NULL, .min = NULL, .max = NULL, .eq = F, .na = F, .a = T)
...nu(..., .n = NULL, .min = NULL, .max = NULL, .eq = F, .na = T, .a = T)
...nr(..., .n = NULL, .min = NULL, .max = NULL, .eq = F)
...nc(..., .n = NULL, .min = NULL, .max = NULL, .eq = F)
...n_ch(..., .n = NULL, .min = NULL, .max = NULL, .eq = F, .na = F, .a = T)
...n_nav(..., .n = NULL, .min = NULL, .max = NULL, .eq = F, .a = T)
...n_okv(..., .n = NULL, .min = NULL, .max = NULL, .eq = F, .a = T)
...nv(..., .n = NULL, .min = NULL, .max = NULL, .eq = F, .a = T)
Arguments
x |
For |
.n |
Optional complete non-negative whole-number vec of valid element, row, or column counts. |
.min |
Optional complete non-negative whole-number scalar giving minimum valid element, row, or column counts. |
.max |
Optional complete non-negative whole-number scalar giving maximum valid element, row, or column counts. |
.eq |
Non- |
... |
One or more arguments to be examined for counts. |
.a |
Non- |
.na |
Non- |
.vals |
Optional atomic vec indicating specific values to be counted. |
.lt |
Optional complete sortable scalar indicating specific values elements of |
.le |
Optional complete sortable scalar indicating specific values elements of |
.ge |
Optional complete sortable scalar indicating specific values elements of |
.gt |
Optional complete sortable scalar indicating specific values elements of |
Details
The following functions are flexible, fully error-checked counting functions with optional count functionality driven by arguments:
n_check | Do counts given in x meet criteria in c(N, .min, .max, .eq), if any? If none, returns x. |
...n | Length(s) of ... args with optional length validations. |
...ns | Lengths of ... args |
...nv | Length after atomizing. |
...nch | Number of characters in each element. |
...nrc | NROW(x) * NCOL(x) |
...nnav | Number of atomic NA values. |
...nokv | Number of atomic non-NA values. |
...neq | Are ... arg lengths all the same? |
...ndif | Are ... arg lengths not all the same? |
...minn | .min ... arg length. |
...maxn | .max ... arg length. |
Functions evaluating length/count (in)equality
ndif | Lengths of x and y are equal. |
neq | Lengths of x and y are different. |
Functions getting counts/lengths
N | length(x) |
nd, ndots | ...length() |
...n | ...length() |
nc | NCOL(x) |
nr | NROW(x) |
ns | lengths(x) |
nu, nunq | length(unique(atoms(...))) |
nv, nval | length(atoms(...)) |
nw | length(which(x)) |
nrc | NROW(x) * NCOL(x) |
nnav | length(which(is.na(atoms(x)))) |
nokv | length(which(!is.na(atoms(x)))) |
ndim | f0(null(x), 0, f0(is_vec(x), 1, N(dim(x)))) |
Functions checking for specific counts/lengths
The functions described in the previous table also have convenience functions for checking for specific counts/lengths and for negation. Those convenience functions are formed by appending the following to function names:
'0' | N = 0 |
'1' | N = 1 |
'2' | N = 2 |
'1p' | N = 1+ |
'2p' | N = 2+ |
'3p' | N = 3+ |
The negation functions are formed by prepending not_. All convenience functions are given in the following table:
| Base | N = 0 | N = 1 | N = 2 | N ≥ 1 | N ≥ 2 | N ≥ 3 |
N | n0 | n1 | n2 | n1p | n2p | n3p |
nd | nd0 | nd1 | nd2 | nd1p | nd2p | nd3p |
...n | ...n0 | ...n1 | ...n2 | ...n1p | ...n2p | ...n3p |
nc | nc0 | nc1 | nc2 | nc1p | nc2p | nc3p |
nr | nr0 | nr1 | nr2 | nr1p | nr2p | nr3p |
ns | ns0 | ns1 | ns2 | ns1p | ns2p | ns3p |
nu | nu0 | nu1 | nu2 | nu1p | nu2p | nu3p |
nv | nv0 | nv1 | nv2 | nv1p | nv2p | nv3p |
nw | nw0 | nw1 | nw2 | nw1p | nw2p | nw3p |
nrc | nrc0 | nrc1 | — | — | nrc2p | — |
ndim | ndim0 | ndim1 | ndim2 | ndim1p | ndim2p | ndim3p |
| Base | N ≠ 0 | N ≠ 1 | N ≠ 2 | N < 1 | N < 2 | N < 3 |
not_n | not_n0 | not_n1 | not_n2 | not_n1p | not_n2p | not_n3p |
not_nd | not_nd0 | not_nd1 | not_nd2 | not_nd1p | not_nd2p | not_nd3p |
...not_n | ...not_n0 | ...not_n1 | ...not_n2 | ...not_n1p | ...not_n2p | ...not_n3p |
not_nc | not_nc0 | not_nc1 | not_nc2 | not_nc1p | not_nc2p | not_nc3p |
not_nr | not_nr0 | not_nr1 | not_nr2 | not_nr1p | not_nr2p | not_nr3p |
not_ns | not_ns0 | not_ns1 | not_ns2 | not_ns1p | not_ns2p | not_ns3p |
not_nu | not_nu0 | not_nu1 | not_nu2 | not_nu1p | not_nu2p | not_nu3p |
not_nv | not_nv0 | not_nv1 | not_nv2 | not_nv1p | not_nv2p | not_nv3p |
not_nw | not_nw0 | not_nw1 | not_nw2 | not_nw1p | not_nw2p | not_nw3p |
not_nrc | not_nrc0 | not_nrc1 | — | — | not_nrc2p | — |
not_ndim | not_ndim0 | not_ndim1 | not_ndim2 | not_ndim1p | not_ndim2p | not_ndim3p |
nc = 0 | nc = 1 | nc = 2 | nc = 3 | nc ≥ 1 | nc ≥ 2 | nc ≥ 3 |
|
nr = 0 | nr0_nc0 | nr0_nc1 | nr0_nc2 | nr0_nc3 | nr0_nc1p | nr0_nc2p | nr0_nc3p |
nr = 1 | nr1_nc0 | nr1_nc1 | nr1_nc2 | nr1_nc3 | nr1_nc1p | nr1_nc2p | nr1_nc3p |
nr = 2 | nr2_nc0 | nr2_nc1 | nr2_nc2 | nr2_nc3 | nr2_nc1p | nr2_nc2p | nr2_nc3p |
nr = 3 | nr3_nc0 | nr3_nc1 | nr3_nc2 | nr3_nc3 | nr3_nc1p | nr3_nc2p | nr3_nc3p |
nr ≥ 1 | nr1_pnc0 | nr1p_nc1 | nr1p_nc2 | nr1p_nc3 | nr1p_nc1p | nr1p_nc2p | nr1p_nc3p |
nr ≥ 2 | nr2p_nc0 | nr2p_nc1 | nr2p_nc2 | nr2p_nc3 | nr2p_nc1p | nr2p_nc2p | nr2p_nc3p |
nr ≥ 3 | nr3p_nc0 | nr3p_nc1 | nr3p_nc2 | nr3p_nc3 | nr3p_nc1p | nr3p_nc2p | nr3p_nc3p |
nc ≠ 0 | nc ≠ 1 | nc ≠ 3 | nc ≠ 2 | nc < 1 | nc < 2 | nc < 3 |
|
nr ≠ 0 | not_nr0_nc0 | not_nr0_nc1 | not_nr0_nc3 | not_nr0_nc2 | not_nr0_nc1p | not_nr0_nc2p | not_nr0_nc3p |
nr ≠ 1 | not_nr1_nc0 | not_nr1_nc1 | not_nr1_nc3 | not_nr1_nc2 | not_nr1_nc1p | not_nr1_nc2p | not_nr1_nc3p |
nr ≠ 2 | not_nr2_nc0 | not_nr2_nc1 | not_nr2_nc3 | not_nr2_nc2 | not_nr2_nc1p | not_nr2_nc2p | not_nr2_nc3p |
nr ≠ 3 | not_nr2_nc0 | not_nr2_nc1 | not_nr2_nc3 | not_nr2_nc2 | not_nr2_nc1p | not_nr2_nc2p | not_nr2_nc3p |
nr < 1 | not_nr1p_nc0 | not_nr1p_nc1 | not_nr1p_nc3 | not_nr1p_nc2 | not_nr1p_nc1p | not_nr1p_nc2p | not_nr1p_nc3p |
nr < 2 | not_nr2p_nc0 | not_nr2p_nc1 | not_nr2p_nc3 | not_nr2p_nc2 | not_nr2p_nc1p | not_nr2p_nc2p | not_nr2p_nc3p |
nr < 3 | not_nr3p_nc0 | not_nr3p_nc1 | not_nr3p_nc3 | not_nr3p_nc2 | not_nr3p_nc1p | not_nr3p_nc2p | not_nr3p_nc3p |
Value
May be non-negative integer or a logical scalar or vector, depending the properties of primary argument(s) (i.e., x and ...) and optional arguments (i.e., all others).
See Also
Other counts:
maxnch()
Examples
##
## DEFINE INITIAL VARIABLE SET
##
vAa <- c(letters, LETTERS)
va <- letters
vA <- LETTERS
l0s <- c(0, 0, 0)
l0 <- NULL
l1 <- 0
l2 <- 0:1
l3 <- 0:2
l4 <- 0:3
l10 <- 0:9
l100 <- 0:99
l1000 <- sample(0:10, 1000, replace = T)
vList <- list(l0 = l0, l1 = l1, l2 = l2, va = va, vAa = vAa)
##
## DEMO [n_check] FUNCTION
##
n_check(length(va), .n = 26)
n_check(length(vA), .n = 52)
n_check(length(vAa), .n = 26:52)
n_check(l10, .min = 5, .max = 10)
n_check(l10, .min = 11, .max = 11)
n_check(l10, .eq = T)
n_check(l0s, .eq = T)
##
## DEMO [nX], [nXp], [not_nX] AND [not_nXp] FUNCTIONS
##
c(n0(l0), n0(l0s))
c(n1(l1), n1(l0))
c(n2(l1), n2(l2))
c(n3(l2), n3(l3))
c(n1p(l0), n1p(l1), n1p(l2))
c(n2p(l1), n2p(l2), n2p(l3))
c(n3p(l2), n3p(l3), n3p(l10))
c(not_n0(l0), n0(l0s))
c(not_n1(l1), n1(l0))
c(not_n2(l1), n2(l2))
c(not_n3(l2), n3(l3))
c(not_n1p(l0), not_n1p(l1), not_n1p(l2))
c(not_n2p(l1), not_n2p(l2), not_n2p(l3))
c(not_n3p(l2), not_n3p(l3), not_n3p(l10))
## DEMO [ndX], [ndXp], [not_ndX], and [not_ndXp] FUNCTIONS
c(nd0(), nd0(l0), nd0(l0, l1))
c(nd1(), nd1(l0), nd1(l0, l1))
c(nd2(l1), nd2(l1, l2), nd2(l1, l2, l3))
c(nd3(l1, l2), nd3(l1, l2, l3), nd3(l1, l2, l3, l4))
c(nd1p(), nd1p(l0), nd1p(l0, l1))
c(nd2p(l1), nd2p(l1, v2), nd2p(l1, l2, l3))
c(nd3p(l1, l2), nd3p(l1, l2, l3), nd3p(l1, l2, l3, l4))
c(not_nd0(), not_nd0(l0), not_nd0(l0, l1))
c(not_nd1(), not_nd1(l0), not_nd1(l0, l1))
c(not_nd2(l1), not_nd2(l1, l2), not_nd2(l1, l2, l3))
c(not_nd3(l1, l2), not_nd3(l1, l2, l3), not_nd3(l1, l2, l3, l4))
c(not_nd1p(), not_nd1p(l0), not_nd1p(l0, l1))
c(not_nd2p(l1), not_nd2p(l1, l2), not_nd2p(l1, l2, l3))
c(not_nd3p(l1, l2), not_nd3p(l1, l2, l3), not_nd3p(l1, l2, l3, l4))
##
## DEMO [nu], [nuX], [nuXp], [not_nuX], AND [not_nuXp] FUNCTIONS
##
c(nu(va), nu(vA), nu(vAa), nu(l0), nu(l10), nu(l100), nu(l1000))
c(nu0(l0), nu0(l1000))
c(nu1(l0), nu1(l1), nu2(l2))
c(nu2(l1), nu2(l2), nu2(l3))
c(nu3(l2), nu3(l3), nu3(l4))
c(nu1p(l0), nu1p(l1), nu2p(l2))
c(nu2p(l1), nu2p(l2), nu2p(l3))
c(nu3p(l2), nu3p(l3), nu3p(l4))
c(not_nu0(l0), not_nu0(l1000))
c(not_nu1(l0), not_nu1(l1), not_nu2(l2))
c(not_nu2(l1), not_nu2(l2), not_nu2(l3))
c(not_nu3(l2), not_nu3(l3), not_nu3(l4))
c(not_nu1p(l0), not_nu1p(l1), not_nu2p(l2))
c(not_nu2p(l1), not_nu2p(l2), not_nu2p(l3))
c(not_nu3p(l2), not_nu3p(l3), not_nu3p(l4))
##
## DEMO [nv], [nvX], [nvXp], [not_nvX], AND, [not_nvXp] FUNCTIONS
##
c(nv(l1000), nv(va), nv(vList))
c(nv0(l0), nv0(l0s))
c(nv1(l1), nv1(l0))
c(nv2(l1), nv2(l2))
c(nv3(l2), nv3(l3))
c(nv1p(l0), nv1p(l1), nv1p(l2))
c(nv2p(l1), nv2p(l2), nv2p(l3))
c(nv3p(l2), nv3p(l3), nv3p(l10))
c(not_nv0(l0), nv0(l0s))
c(not_nv1(l1), nv1(l0))
c(not_nv2(l1), nv2(l2))
c(not_nv3(l2), nv3(l3))
c(not_nv1p(l0), not_nv1p(l1), not_nv1p(l2))
c(not_nv2p(l1), not_nv2p(l2), not_nv2p(l3))
c(not_nv3p(l2), not_nv3p(l3), not_nv3p(l10))
##
## DEFINE TRUE/FALSE VARIABLE SET
##
vTF0 <- c()
vTF1 <- c(T, F)
vTF2 <- c(T, T, F, F)
vTF3 <- c(T, T, T, F, F, F)
vTF4 <- c(T, T, T, T, F, F, F, F)
vTFx <- sample(vTF1, 1000, replace = T)
##
## DEMO [nw], [nwX], [nwXp], [not_nwX], AND [not_nwXp] FUNCTIONS
##
c(nw(vTF1), nw(vTF2), nv(vTFx))
c(nw0(vTF0), nw0(vTF1))
c(nw1(vTF0), nw1(vTF1), nw1(vTF2))
c(nw2(vTF1), nw2(vTF2), nw2(vTF3))
c(nw3(vTF2), nw3(vTF3), nw3(vTF4))
c(nw1p(vTF0), nw1p(vTF1), nw1p(vTF2))
c(nw2p(vTF1), nw2p(vTF2), nw2p(vTF3))
c(nw3p(vTF2), nw3p(vTF3), nw3p(vTF4))
c(not_nw0(vTF0), not_nw0(vTF1))
c(not_nw1(vTF0), not_nw1(vTF1), not_nw1(vTF2))
c(not_nw2(vTF1), not_nw2(vTF2), not_nw2(vTF3))
c(not_nw3(vTF2), not_nw3(vTF3), not_nw3(vTF4))
c(not_nw1p(vTF0), not_nw1p(vTF1), not_nw1p(vTF2))
c(not_nw2p(vTF1), not_nw2p(vTF2), not_nw2p(vTF3))
c(not_nw3p(vTF2), not_nw3p(vTF3), not_nw3p(vTF4))
c(neq(l3, l3), neq(l3, l0s), neq(l1, l2))
c(ndif(l3, l3), ndif(l3, l0s), ndif(l1, l2))
##
## DEFINE MATRIX VARIABLE SET
##
m <- function(R, C) {matrix(1, nrow = R, ncol = C)}
m00 <- m(0, 0); m01 <- m(0, 1); m02 <- m(0, 2); m03 <- m(0, 3); m04 <- m(0, 4)
m10 <- m(1, 0); m11 <- m(1, 1); m12 <- m(1, 2); m13 <- m(1, 3); m14 <- m(1, 4)
m20 <- m(2, 0); m21 <- m(2, 1); m22 <- m(2, 2); m23 <- m(2, 3); m24 <- m(2, 4)
m30 <- m(3, 0); m31 <- m(3, 1); m32 <- m(3, 2); m33 <- m(3, 3); m34 <- m(3, 4)
m40 <- m(4, 0); m41 <- m(4, 1); m42 <- m(4, 2); m43 <- m(4, 3); m44 <- m(4, 4)
##
## DEMO [nr], [nc], AND [nrc] FUNCTIONS
##
c(nr(m00), nr(m10), nr(m20), nr(m30), nr(m40))
c(nc(m00), nc(m01), nc(m02), nc(m03), nc(m04))
c(nrc(m00), nrc(m11), nrc(m22), nrc(m33), nrc(m44))
##
## DEMO [ncX], [ncXp], [not_ncX], AND [not_ncXp] FUNCTIONS
##
c(nc0(m00), nc0(m01))
c(nc1(m00), nc1(m01), nc1(m02))
c(nc2(m01), nc2(m02), nc2(m03))
c(nc3(m02), nc3(m03), nc3(m04))
c(nc1p(m00), nc1p(m01), nc1p(m02))
c(nc2p(m01), nc2p(m02), nc2p(m03))
c(nc3p(m02), nc3p(m03), nc3p(m04))
c(not_nc0(m00), not_nc0(m01))
c(not_nc1(m00), not_nc1(m01), not_nc1(m02))
c(not_nc2(m01), not_nc2(m02), not_nc2(m03))
c(not_nc3(m02), not_nc3(m03), not_nc3(m04))
c(not_nc1p(m00), not_nc1p(m01), not_nc1p(m02))
c(not_nc2p(m01), not_nc2p(m02), not_nc2p(m03))
c(not_nc3p(m02), not_nc3p(m03), not_nc3p(m04))
##
## DEMO [nrX], [nrXp], [not_nrX], AND [not_nrXp] FUNCTIONS
##
c(nr0(m00), nr0(m10))
c(nr1(m00), nr1(m10), nr1(m20))
c(nr2(m10), nr2(m20), nr2(m30))
c(nr3(m20), nr3(m30), nr3(m40))
c(nr1p(m00), nr1p(m10), nr1p(m20))
c(nr2p(m10), nr2p(m20), nr2p(m30))
c(nr3p(m20), nr3p(m30), nr3p(m40))
c(not_nr0(m00), not_nr0(m10))
c(not_nr1(m00), not_nr1(m10), not_nr1(m20))
c(not_nr2(m10), not_nr2(m20), not_nr2(m30))
c(not_nr3(m20), not_nr3(m30), not_nr3(m40))
c(not_nr1p(m00), not_nr1p(m10), not_nr1p(m20))
c(not_nr2p(m10), not_nr2p(m20), not_nr2p(m30))
c(not_nr3p(m20), not_nr3p(m30), not_nr3p(m40))
##
## DEMO [nrcX], [nrcXp], [not_nrcX], AND [not_nrcXp] FUNCTIONS
##
c(nrc0(m00), nrc0(m01), nrc0(m10), nrc0(m11))
c(nrc1(m00), nrc1(m10), nrc1(m11), nrc1(m21))
c(nrc2(m11), nrc2(m12), nrc2(m21), nrc2(m22))
c(nrc1p(m00), nrc1p(m10), nrc1p(m11), nrc1p(m21))
c(nrc2p(m11), nrc2p(m12), nrc2p(m21), nrc2p(m22))
c(nr0_nc0(m00), nr0_nc0(m01), nr0_nc0(m02), nr0_nc0(m03), nr0_nc0(m04))
c(nr0_nc0(m10), nr0_nc0(m11), nr0_nc0(m12), nr0_nc0(m13), nr0_nc0(m14))
c(nr0_nc0(m20), nr0_nc0(m21), nr0_nc0(m22), nr0_nc0(m23), nr0_nc0(m24))
c(nr0_nc0(m30), nr0_nc0(m31), nr0_nc0(m32), nr0_nc0(m33), nr0_nc0(m34))
c(nr0_nc0(m40), nr0_nc0(m41), nr0_nc0(m42), nr0_nc0(m43), nr0_nc0(m44))
c(nr0_nc1(m00), nr0_nc1(m01), nr0_nc1(m02), nr0_nc1(m03), nr0_nc1(m04))
c(nr0_nc1(m10), nr0_nc1(m11), nr0_nc1(m12), nr0_nc1(m13), nr0_nc1(m14))
c(nr0_nc1(m20), nr0_nc1(m21), nr0_nc1(m22), nr0_nc1(m23), nr0_nc1(m24))
c(nr0_nc1(m30), nr0_nc1(m31), nr0_nc1(m32), nr0_nc1(m33), nr0_nc1(m34))
c(nr0_nc1(m40), nr0_nc1(m41), nr0_nc1(m42), nr0_nc1(m43), nr0_nc1(m44))
c(nr0_nc2(m00), nr0_nc2(m01), nr0_nc2(m02), nr0_nc2(m03), nr0_nc2(m04))
c(nr0_nc2(m10), nr0_nc2(m11), nr0_nc2(m12), nr0_nc2(m13), nr0_nc2(m14))
c(nr0_nc2(m20), nr0_nc2(m21), nr0_nc2(m22), nr0_nc2(m23), nr0_nc2(m24))
c(nr0_nc2(m30), nr0_nc2(m31), nr0_nc2(m32), nr0_nc2(m33), nr0_nc2(m34))
c(nr0_nc2(m40), nr0_nc2(m41), nr0_nc2(m42), nr0_nc2(m43), nr0_nc2(m44))
c(nr0_nc3(m00), nr0_nc3(m01), nr0_nc3(m02), nr0_nc3(m03), nr0_nc3(m04))
c(nr0_nc3(m10), nr0_nc3(m11), nr0_nc3(m12), nr0_nc3(m13), nr0_nc3(m14))
c(nr0_nc3(m20), nr0_nc3(m21), nr0_nc3(m22), nr0_nc3(m23), nr0_nc3(m24))
c(nr0_nc3(m30), nr0_nc3(m31), nr0_nc3(m32), nr0_nc3(m33), nr0_nc3(m34))
c(nr0_nc3(m40), nr0_nc3(m41), nr0_nc3(m42), nr0_nc3(m43), nr0_nc3(m44))
c(nr1_nc0(m00), nr1_nc0(m01), nr1_nc0(m02), nr1_nc0(m03), nr1_nc0(m04))
c(nr1_nc0(m10), nr1_nc0(m11), nr1_nc0(m12), nr1_nc0(m13), nr1_nc0(m14))
c(nr1_nc0(m20), nr1_nc0(m21), nr1_nc0(m22), nr1_nc0(m23), nr1_nc0(m24))
c(nr1_nc0(m30), nr1_nc0(m31), nr1_nc0(m32), nr1_nc0(m33), nr1_nc0(m34))
c(nr1_nc0(m40), nr1_nc0(m41), nr1_nc0(m42), nr1_nc0(m43), nr1_nc0(m44))
c(nr2_nc0(m00), nr2_nc0(m01), nr2_nc0(m02), nr2_nc0(m03), nr2_nc0(m04))
c(nr2_nc0(m10), nr2_nc0(m11), nr2_nc0(m12), nr2_nc0(m13), nr2_nc0(m14))
c(nr2_nc0(m20), nr2_nc0(m21), nr2_nc0(m22), nr2_nc0(m23), nr2_nc0(m24))
c(nr2_nc0(m30), nr2_nc0(m31), nr2_nc0(m32), nr2_nc0(m33), nr2_nc0(m34))
c(nr2_nc0(m40), nr2_nc0(m41), nr2_nc0(m42), nr2_nc0(m43), nr2_nc0(m44))
c(nr3_nc0(m00), nr3_nc0(m01), nr3_nc0(m02), nr3_nc0(m03), nr3_nc0(m04))
c(nr3_nc0(m10), nr3_nc0(m11), nr3_nc0(m12), nr3_nc0(m13), nr3_nc0(m14))
c(nr3_nc0(m20), nr3_nc0(m21), nr3_nc0(m22), nr3_nc0(m23), nr3_nc0(m24))
c(nr3_nc0(m30), nr3_nc0(m31), nr3_nc0(m32), nr3_nc0(m33), nr3_nc0(m34))
c(nr3_nc0(m40), nr3_nc0(m41), nr3_nc0(m42), nr3_nc0(m43), nr3_nc0(m44))
c(nr1_nc1(m00), nr1_nc1(m01), nr1_nc1(m02), nr1_nc1(m03), nr1_nc1(m04))
c(nr1_nc1(m10), nr1_nc1(m11), nr1_nc1(m12), nr1_nc1(m13), nr1_nc1(m14))
c(nr1_nc1(m20), nr1_nc1(m21), nr1_nc1(m22), nr1_nc1(m23), nr1_nc1(m24))
c(nr1_nc1(m30), nr1_nc1(m31), nr1_nc1(m32), nr1_nc1(m33), nr1_nc1(m34))
c(nr1_nc1(m40), nr1_nc1(m41), nr1_nc1(m42), nr1_nc1(m43), nr1_nc1(m44))
c(nr1_nc2(m00), nr1_nc2(m01), nr1_nc2(m02), nr1_nc2(m03), nr1_nc2(m04))
c(nr1_nc2(m10), nr1_nc2(m11), nr1_nc2(m12), nr1_nc2(m13), nr1_nc2(m14))
c(nr1_nc2(m20), nr1_nc2(m21), nr1_nc2(m22), nr1_nc2(m23), nr1_nc2(m24))
c(nr1_nc2(m30), nr1_nc2(m31), nr1_nc2(m32), nr1_nc2(m33), nr1_nc2(m34))
c(nr1_nc2(m40), nr1_nc2(m41), nr1_nc2(m42), nr1_nc2(m43), nr1_nc2(m44))
c(nr1_nc3(m00), nr1_nc3(m01), nr1_nc3(m02), nr1_nc3(m03), nr1_nc3(m04))
c(nr1_nc3(m10), nr1_nc3(m11), nr1_nc3(m12), nr1_nc3(m13), nr1_nc3(m14))
c(nr1_nc3(m20), nr1_nc3(m21), nr1_nc3(m22), nr1_nc3(m23), nr1_nc3(m24))
c(nr1_nc3(m30), nr1_nc3(m31), nr1_nc3(m32), nr1_nc3(m33), nr1_nc3(m34))
c(nr1_nc3(m40), nr1_nc3(m41), nr1_nc3(m42), nr1_nc3(m43), nr1_nc3(m44))
c(nr2_nc1(m00), nr2_nc1(m01), nr2_nc1(m02), nr2_nc1(m03), nr2_nc1(m04))
c(nr2_nc1(m10), nr2_nc1(m11), nr2_nc1(m12), nr2_nc1(m13), nr2_nc1(m14))
c(nr2_nc1(m20), nr2_nc1(m21), nr2_nc1(m22), nr2_nc1(m23), nr2_nc1(m24))
c(nr2_nc1(m30), nr2_nc1(m31), nr2_nc1(m32), nr2_nc1(m33), nr2_nc1(m34))
c(nr2_nc1(m40), nr2_nc1(m41), nr2_nc1(m42), nr2_nc1(m43), nr2_nc1(m44))
c(nr2_nc2(m00), nr2_nc2(m01), nr2_nc2(m02), nr2_nc2(m03), nr2_nc2(m04))
c(nr2_nc2(m10), nr2_nc2(m11), nr2_nc2(m12), nr2_nc2(m13), nr2_nc2(m14))
c(nr2_nc2(m20), nr2_nc2(m21), nr2_nc2(m22), nr2_nc2(m23), nr2_nc2(m24))
c(nr2_nc2(m30), nr2_nc2(m31), nr2_nc2(m32), nr2_nc2(m33), nr2_nc2(m34))
c(nr2_nc2(m40), nr2_nc2(m41), nr2_nc2(m42), nr2_nc2(m43), nr2_nc2(m44))
c(nr2_nc3(m00), nr2_nc3(m01), nr2_nc3(m02), nr2_nc3(m03), nr2_nc3(m04))
c(nr2_nc3(m10), nr2_nc3(m11), nr2_nc3(m12), nr2_nc3(m13), nr2_nc3(m14))
c(nr2_nc3(m20), nr2_nc3(m21), nr2_nc3(m22), nr2_nc3(m23), nr2_nc3(m24))
c(nr2_nc3(m30), nr2_nc3(m31), nr2_nc3(m32), nr2_nc3(m33), nr2_nc3(m34))
c(nr2_nc3(m40), nr2_nc3(m41), nr2_nc3(m42), nr2_nc3(m43), nr2_nc3(m44))
c(nr3_nc1(m00), nr3_nc1(m01), nr3_nc1(m02), nr3_nc1(m03), nr3_nc1(m04))
c(nr3_nc1(m10), nr3_nc1(m11), nr3_nc1(m12), nr3_nc1(m13), nr3_nc1(m14))
c(nr3_nc1(m20), nr3_nc1(m21), nr3_nc1(m22), nr3_nc1(m23), nr3_nc1(m24))
c(nr3_nc1(m30), nr3_nc1(m31), nr3_nc1(m32), nr3_nc1(m33), nr3_nc1(m34))
c(nr3_nc1(m40), nr3_nc1(m41), nr3_nc1(m42), nr3_nc1(m43), nr3_nc1(m44))
c(nr3_nc2(m00), nr3_nc2(m01), nr3_nc2(m02), nr3_nc2(m03), nr3_nc2(m04))
c(nr3_nc2(m10), nr3_nc2(m11), nr3_nc2(m12), nr3_nc2(m13), nr3_nc2(m14))
c(nr3_nc2(m20), nr3_nc2(m21), nr3_nc2(m22), nr3_nc2(m23), nr3_nc2(m24))
c(nr3_nc2(m30), nr3_nc2(m31), nr3_nc2(m32), nr3_nc2(m33), nr3_nc2(m34))
c(nr3_nc2(m40), nr3_nc2(m41), nr3_nc2(m42), nr3_nc2(m43), nr3_nc2(m44))
c(nr3_nc3(m00), nr3_nc3(m01), nr3_nc3(m02), nr3_nc3(m03), nr3_nc3(m04))
c(nr3_nc3(m10), nr3_nc3(m11), nr3_nc3(m12), nr3_nc3(m13), nr3_nc3(m14))
c(nr3_nc3(m20), nr3_nc3(m21), nr3_nc3(m22), nr3_nc3(m23), nr3_nc3(m24))
c(nr3_nc3(m30), nr3_nc3(m31), nr3_nc3(m32), nr3_nc3(m33), nr3_nc3(m34))
c(nr3_nc3(m40), nr3_nc3(m41), nr3_nc3(m42), nr3_nc3(m43), nr3_nc3(m44))
c(nr0_nc1p(m00), nr0_nc1p(m01), nr0_nc1p(m02), nr0_nc1p(m03), nr0_nc1p(m04))
c(nr0_nc1p(m10), nr0_nc1p(m11), nr0_nc1p(m12), nr0_nc1p(m13), nr0_nc1p(m14))
c(nr0_nc1p(m20), nr0_nc1p(m21), nr0_nc1p(m22), nr0_nc1p(m23), nr0_nc1p(m24))
c(nr0_nc1p(m30), nr0_nc1p(m31), nr0_nc1p(m32), nr0_nc1p(m33), nr0_nc1p(m34))
c(nr0_nc1p(m40), nr0_nc1p(m41), nr0_nc1p(m42), nr0_nc1p(m43), nr0_nc1p(m44))
c(nr0_nc2p(m00), nr0_nc2p(m01), nr0_nc2p(m02), nr0_nc2p(m03), nr0_nc2p(m04))
c(nr0_nc2p(m10), nr0_nc2p(m11), nr0_nc2p(m12), nr0_nc2p(m13), nr0_nc2p(m14))
c(nr0_nc2p(m20), nr0_nc2p(m21), nr0_nc2p(m22), nr0_nc2p(m23), nr0_nc2p(m24))
c(nr0_nc2p(m30), nr0_nc2p(m31), nr0_nc2p(m32), nr0_nc2p(m33), nr0_nc2p(m34))
c(nr0_nc2p(m40), nr0_nc2p(m41), nr0_nc2p(m42), nr0_nc2p(m43), nr0_nc2p(m44))
c(nr0_nc3p(m00), nr0_nc3p(m01), nr0_nc3p(m02), nr0_nc3p(m03), nr0_nc3p(m04))
c(nr0_nc3p(m10), nr0_nc3p(m11), nr0_nc3p(m12), nr0_nc3p(m13), nr0_nc3p(m14))
c(nr0_nc3p(m20), nr0_nc3p(m21), nr0_nc3p(m22), nr0_nc3p(m23), nr0_nc3p(m24))
c(nr0_nc3p(m30), nr0_nc3p(m31), nr0_nc3p(m32), nr0_nc3p(m33), nr0_nc3p(m34))
c(nr0_nc3p(m40), nr0_nc3p(m41), nr0_nc3p(m42), nr0_nc3p(m43), nr0_nc3p(m44))
c(nr1p_nc0(m00), nr1p_nc0(m01), nr1p_nc0(m02), nr1p_nc0(m03), nr1p_nc0(m04))
c(nr1p_nc0(m10), nr1p_nc0(m11), nr1p_nc0(m12), nr1p_nc0(m13), nr1p_nc0(m14))
c(nr1p_nc0(m20), nr1p_nc0(m21), nr1p_nc0(m22), nr1p_nc0(m23), nr1p_nc0(m24))
c(nr1p_nc0(m30), nr1p_nc0(m31), nr1p_nc0(m32), nr1p_nc0(m33), nr1p_nc0(m34))
c(nr1p_nc0(m40), nr1p_nc0(m41), nr1p_nc0(m42), nr1p_nc0(m43), nr1p_nc0(m44))
c(nr2p_nc0(m00), nr2p_nc0(m01), nr2p_nc0(m02), nr2p_nc0(m03), nr2p_nc0(m04))
c(nr2p_nc0(m10), nr2p_nc0(m11), nr2p_nc0(m12), nr2p_nc0(m13), nr2p_nc0(m14))
c(nr2p_nc0(m20), nr2p_nc0(m21), nr2p_nc0(m22), nr2p_nc0(m23), nr2p_nc0(m24))
c(nr2p_nc0(m30), nr2p_nc0(m31), nr2p_nc0(m32), nr2p_nc0(m33), nr2p_nc0(m34))
c(nr2p_nc0(m40), nr2p_nc0(m41), nr2p_nc0(m42), nr2p_nc0(m43), nr2p_nc0(m44))
c(nr3p_nc0(m00), nr3p_nc0(m01), nr3p_nc0(m02), nr3p_nc0(m03), nr3p_nc0(m04))
c(nr3p_nc0(m10), nr3p_nc0(m11), nr3p_nc0(m12), nr3p_nc0(m13), nr3p_nc0(m14))
c(nr3p_nc0(m20), nr3p_nc0(m21), nr3p_nc0(m22), nr3p_nc0(m23), nr3p_nc0(m24))
c(nr3p_nc0(m30), nr3p_nc0(m31), nr3p_nc0(m32), nr3p_nc0(m33), nr3p_nc0(m34))
c(nr3p_nc0(m40), nr3p_nc0(m41), nr3p_nc0(m42), nr3p_nc0(m43), nr3p_nc0(m44))
c(nr1p_nc1p(m00), nr1p_nc1p(m01), nr1p_nc1p(m02), nr1p_nc1p(m03), nr1p_nc1p(m04))
c(nr1p_nc1p(m10), nr1p_nc1p(m11), nr1p_nc1p(m12), nr1p_nc1p(m13), nr1p_nc1p(m14))
c(nr1p_nc1p(m20), nr1p_nc1p(m21), nr1p_nc1p(m22), nr1p_nc1p(m23), nr1p_nc1p(m24))
c(nr1p_nc1p(m30), nr1p_nc1p(m31), nr1p_nc1p(m32), nr1p_nc1p(m33), nr1p_nc1p(m34))
c(nr1p_nc1p(m40), nr1p_nc1p(m41), nr1p_nc1p(m42), nr1p_nc1p(m43), nr1p_nc1p(m44))
c(nr1p_nc2p(m00), nr1p_nc2p(m01), nr1p_nc2p(m02), nr1p_nc2p(m03), nr1p_nc2p(m04))
c(nr1p_nc2p(m10), nr1p_nc2p(m11), nr1p_nc2p(m12), nr1p_nc2p(m13), nr1p_nc2p(m14))
c(nr1p_nc2p(m20), nr1p_nc2p(m21), nr1p_nc2p(m22), nr1p_nc2p(m23), nr1p_nc2p(m24))
c(nr1p_nc2p(m30), nr1p_nc2p(m31), nr1p_nc2p(m32), nr1p_nc2p(m33), nr1p_nc2p(m34))
c(nr1p_nc2p(m40), nr1p_nc2p(m41), nr1p_nc2p(m42), nr1p_nc2p(m43), nr1p_nc2p(m44))
c(nr1p_nc3p(m00), nr1p_nc3p(m01), nr1p_nc3p(m02), nr1p_nc3p(m03), nr1p_nc3p(m04))
c(nr1p_nc3p(m10), nr1p_nc3p(m11), nr1p_nc3p(m12), nr1p_nc3p(m13), nr1p_nc3p(m14))
c(nr1p_nc3p(m20), nr1p_nc3p(m21), nr1p_nc3p(m22), nr1p_nc3p(m23), nr1p_nc3p(m24))
c(nr1p_nc3p(m30), nr1p_nc3p(m31), nr1p_nc3p(m32), nr1p_nc3p(m33), nr1p_nc3p(m34))
c(nr1p_nc3p(m40), nr1p_nc3p(m41), nr1p_nc3p(m42), nr1p_nc3p(m43), nr1p_nc3p(m44))
c(nr2p_nc1p(m00), nr2p_nc1p(m01), nr2p_nc1p(m02), nr2p_nc1p(m03), nr2p_nc1p(m04))
c(nr2p_nc1p(m10), nr2p_nc1p(m11), nr2p_nc1p(m12), nr2p_nc1p(m13), nr2p_nc1p(m14))
c(nr2p_nc1p(m20), nr2p_nc1p(m21), nr2p_nc1p(m22), nr2p_nc1p(m23), nr2p_nc1p(m24))
c(nr2p_nc1p(m30), nr2p_nc1p(m31), nr2p_nc1p(m32), nr2p_nc1p(m33), nr2p_nc1p(m34))
c(nr2p_nc1p(m40), nr2p_nc1p(m41), nr2p_nc1p(m42), nr2p_nc1p(m43), nr2p_nc1p(m44))
c(nr2p_nc2p(m00), nr2p_nc2p(m01), nr2p_nc2p(m02), nr2p_nc2p(m03), nr2p_nc2p(m04))
c(nr2p_nc2p(m10), nr2p_nc2p(m11), nr2p_nc2p(m12), nr2p_nc2p(m13), nr2p_nc2p(m14))
c(nr2p_nc2p(m20), nr2p_nc2p(m21), nr2p_nc2p(m22), nr2p_nc2p(m23), nr2p_nc2p(m24))
c(nr2p_nc2p(m30), nr2p_nc2p(m31), nr2p_nc2p(m32), nr2p_nc2p(m33), nr2p_nc2p(m34))
c(nr2p_nc2p(m40), nr2p_nc2p(m41), nr2p_nc2p(m42), nr2p_nc2p(m43), nr2p_nc2p(m44))
c(nr2p_nc3p(m00), nr2p_nc3p(m01), nr2p_nc3p(m02), nr2p_nc3p(m03), nr2p_nc3p(m04))
c(nr2p_nc3p(m10), nr2p_nc3p(m11), nr2p_nc3p(m12), nr2p_nc3p(m13), nr2p_nc3p(m14))
c(nr2p_nc3p(m20), nr2p_nc3p(m21), nr2p_nc3p(m22), nr2p_nc3p(m23), nr2p_nc3p(m24))
c(nr2p_nc3p(m30), nr2p_nc3p(m31), nr2p_nc3p(m32), nr2p_nc3p(m33), nr2p_nc3p(m34))
c(nr2p_nc3p(m40), nr2p_nc3p(m41), nr2p_nc3p(m42), nr2p_nc3p(m43), nr2p_nc3p(m44))
c(nr3p_nc1p(m00), nr3p_nc1p(m01), nr3p_nc1p(m02), nr3p_nc1p(m03), nr3p_nc1p(m04))
c(nr3p_nc1p(m10), nr3p_nc1p(m11), nr3p_nc1p(m12), nr3p_nc1p(m13), nr3p_nc1p(m14))
c(nr3p_nc1p(m20), nr3p_nc1p(m21), nr3p_nc1p(m22), nr3p_nc1p(m23), nr3p_nc1p(m24))
c(nr3p_nc1p(m30), nr3p_nc1p(m31), nr3p_nc1p(m32), nr3p_nc1p(m33), nr3p_nc1p(m34))
c(nr3p_nc1p(m40), nr3p_nc1p(m41), nr3p_nc1p(m42), nr3p_nc1p(m43), nr3p_nc1p(m44))
c(nr3p_nc2p(m00), nr3p_nc2p(m01), nr3p_nc2p(m02), nr3p_nc2p(m03), nr3p_nc2p(m04))
c(nr3p_nc2p(m10), nr3p_nc2p(m11), nr3p_nc2p(m12), nr3p_nc2p(m13), nr3p_nc2p(m14))
c(nr3p_nc2p(m20), nr3p_nc2p(m21), nr3p_nc2p(m22), nr3p_nc2p(m23), nr3p_nc2p(m24))
c(nr3p_nc2p(m30), nr3p_nc2p(m31), nr3p_nc2p(m32), nr3p_nc2p(m33), nr3p_nc2p(m34))
c(nr3p_nc2p(m40), nr3p_nc2p(m41), nr3p_nc2p(m42), nr3p_nc2p(m43), nr3p_nc2p(m44))
c(nr3p_nc3p(m00), nr3p_nc3p(m01), nr3p_nc3p(m02), nr3p_nc3p(m03), nr3p_nc3p(m04))
c(nr3p_nc3p(m10), nr3p_nc3p(m11), nr3p_nc3p(m12), nr3p_nc3p(m13), nr3p_nc3p(m14))
c(nr3p_nc3p(m20), nr3p_nc3p(m21), nr3p_nc3p(m22), nr3p_nc3p(m23), nr3p_nc3p(m24))
c(nr3p_nc3p(m30), nr3p_nc3p(m31), nr3p_nc3p(m32), nr3p_nc3p(m33), nr3p_nc3p(m34))
c(nr3p_nc3p(m40), nr3p_nc3p(m41), nr3p_nc3p(m42), nr3p_nc3p(m43), nr3p_nc3p(m44))
c(not_nr0_nc0(m00), not_nr0_nc0(m01), not_nr0_nc0(m02), not_nr0_nc0(m03), not_nr0_nc0(m04))
c(not_nr0_nc0(m10), not_nr0_nc0(m11), not_nr0_nc0(m12), not_nr0_nc0(m13), not_nr0_nc0(m14))
c(not_nr0_nc0(m20), not_nr0_nc0(m21), not_nr0_nc0(m22), not_nr0_nc0(m23), not_nr0_nc0(m24))
c(not_nr0_nc0(m30), not_nr0_nc0(m31), not_nr0_nc0(m32), not_nr0_nc0(m33), not_nr0_nc0(m34))
c(not_nr0_nc0(m40), not_nr0_nc0(m41), not_nr0_nc0(m42), not_nr0_nc0(m43), not_nr0_nc0(m44))
c(not_nr0_nc1(m00), not_nr0_nc1(m01), not_nr0_nc1(m02), not_nr0_nc1(m03), not_nr0_nc1(m04))
c(not_nr0_nc1(m10), not_nr0_nc1(m11), not_nr0_nc1(m12), not_nr0_nc1(m13), not_nr0_nc1(m14))
c(not_nr0_nc1(m20), not_nr0_nc1(m21), not_nr0_nc1(m22), not_nr0_nc1(m23), not_nr0_nc1(m24))
c(not_nr0_nc1(m30), not_nr0_nc1(m31), not_nr0_nc1(m32), not_nr0_nc1(m33), not_nr0_nc1(m34))
c(not_nr0_nc1(m40), not_nr0_nc1(m41), not_nr0_nc1(m42), not_nr0_nc1(m43), not_nr0_nc1(m44))
c(not_nr0_nc2(m00), not_nr0_nc2(m01), not_nr0_nc2(m02), not_nr0_nc2(m03), not_nr0_nc2(m04))
c(not_nr0_nc2(m10), not_nr0_nc2(m11), not_nr0_nc2(m12), not_nr0_nc2(m13), not_nr0_nc2(m14))
c(not_nr0_nc2(m20), not_nr0_nc2(m21), not_nr0_nc2(m22), not_nr0_nc2(m23), not_nr0_nc2(m24))
c(not_nr0_nc2(m30), not_nr0_nc2(m31), not_nr0_nc2(m32), not_nr0_nc2(m33), not_nr0_nc2(m34))
c(not_nr0_nc2(m40), not_nr0_nc2(m41), not_nr0_nc2(m42), not_nr0_nc2(m43), not_nr0_nc2(m44))
c(not_nr0_nc3(m00), not_nr0_nc3(m01), not_nr0_nc3(m02), not_nr0_nc3(m03), not_nr0_nc3(m04))
c(not_nr0_nc3(m10), not_nr0_nc3(m11), not_nr0_nc3(m12), not_nr0_nc3(m13), not_nr0_nc3(m14))
c(not_nr0_nc3(m20), not_nr0_nc3(m21), not_nr0_nc3(m22), not_nr0_nc3(m23), not_nr0_nc3(m24))
c(not_nr0_nc3(m30), not_nr0_nc3(m31), not_nr0_nc3(m32), not_nr0_nc3(m33), not_nr0_nc3(m34))
c(not_nr0_nc3(m40), not_nr0_nc3(m41), not_nr0_nc3(m42), not_nr0_nc3(m43), not_nr0_nc3(m44))
c(not_nr1_nc0(m00), not_nr1_nc0(m01), not_nr1_nc0(m02), not_nr1_nc0(m03), not_nr1_nc0(m04))
c(not_nr1_nc0(m10), not_nr1_nc0(m11), not_nr1_nc0(m12), not_nr1_nc0(m13), not_nr1_nc0(m14))
c(not_nr1_nc0(m20), not_nr1_nc0(m21), not_nr1_nc0(m22), not_nr1_nc0(m23), not_nr1_nc0(m24))
c(not_nr1_nc0(m30), not_nr1_nc0(m31), not_nr1_nc0(m32), not_nr1_nc0(m33), not_nr1_nc0(m34))
c(not_nr1_nc0(m40), not_nr1_nc0(m41), not_nr1_nc0(m42), not_nr1_nc0(m43), not_nr1_nc0(m44))
c(not_nr2_nc0(m00), not_nr2_nc0(m01), not_nr2_nc0(m02), not_nr2_nc0(m03), not_nr2_nc0(m04))
c(not_nr2_nc0(m10), not_nr2_nc0(m11), not_nr2_nc0(m12), not_nr2_nc0(m13), not_nr2_nc0(m14))
c(not_nr2_nc0(m20), not_nr2_nc0(m21), not_nr2_nc0(m22), not_nr2_nc0(m23), not_nr2_nc0(m24))
c(not_nr2_nc0(m30), not_nr2_nc0(m31), not_nr2_nc0(m32), not_nr2_nc0(m33), not_nr2_nc0(m34))
c(not_nr2_nc0(m40), not_nr2_nc0(m41), not_nr2_nc0(m42), not_nr2_nc0(m43), not_nr2_nc0(m44))
c(not_nr3_nc0(m00), not_nr3_nc0(m01), not_nr3_nc0(m02), not_nr3_nc0(m03), not_nr3_nc0(m04))
c(not_nr3_nc0(m10), not_nr3_nc0(m11), not_nr3_nc0(m12), not_nr3_nc0(m13), not_nr3_nc0(m14))
c(not_nr3_nc0(m20), not_nr3_nc0(m21), not_nr3_nc0(m22), not_nr3_nc0(m23), not_nr3_nc0(m24))
c(not_nr3_nc0(m30), not_nr3_nc0(m31), not_nr3_nc0(m32), not_nr3_nc0(m33), not_nr3_nc0(m34))
c(not_nr3_nc0(m40), not_nr3_nc0(m41), not_nr3_nc0(m42), not_nr3_nc0(m43), not_nr3_nc0(m44))
c(not_nr1_nc1(m00), not_nr1_nc1(m01), not_nr1_nc1(m02), not_nr1_nc1(m03), not_nr1_nc1(m04))
c(not_nr1_nc1(m10), not_nr1_nc1(m11), not_nr1_nc1(m12), not_nr1_nc1(m13), not_nr1_nc1(m14))
c(not_nr1_nc1(m20), not_nr1_nc1(m21), not_nr1_nc1(m22), not_nr1_nc1(m23), not_nr1_nc1(m24))
c(not_nr1_nc1(m30), not_nr1_nc1(m31), not_nr1_nc1(m32), not_nr1_nc1(m33), not_nr1_nc1(m34))
c(not_nr1_nc1(m40), not_nr1_nc1(m41), not_nr1_nc1(m42), not_nr1_nc1(m43), not_nr1_nc1(m44))
c(not_nr1_nc2(m00), not_nr1_nc2(m01), not_nr1_nc2(m02), not_nr1_nc2(m03), not_nr1_nc2(m04))
c(not_nr1_nc2(m10), not_nr1_nc2(m11), not_nr1_nc2(m12), not_nr1_nc2(m13), not_nr1_nc2(m14))
c(not_nr1_nc2(m20), not_nr1_nc2(m21), not_nr1_nc2(m22), not_nr1_nc2(m23), not_nr1_nc2(m24))
c(not_nr1_nc2(m30), not_nr1_nc2(m31), not_nr1_nc2(m32), not_nr1_nc2(m33), not_nr1_nc2(m34))
c(not_nr1_nc2(m40), not_nr1_nc2(m41), not_nr1_nc2(m42), not_nr1_nc2(m43), not_nr1_nc2(m44))
c(not_nr1_nc3(m00), not_nr1_nc3(m01), not_nr1_nc3(m02), not_nr1_nc3(m03), not_nr1_nc3(m04))
c(not_nr1_nc3(m10), not_nr1_nc3(m11), not_nr1_nc3(m12), not_nr1_nc3(m13), not_nr1_nc3(m14))
c(not_nr1_nc3(m20), not_nr1_nc3(m21), not_nr1_nc3(m22), not_nr1_nc3(m23), not_nr1_nc3(m24))
c(not_nr1_nc3(m30), not_nr1_nc3(m31), not_nr1_nc3(m32), not_nr1_nc3(m33), not_nr1_nc3(m34))
c(not_nr1_nc3(m40), not_nr1_nc3(m41), not_nr1_nc3(m42), not_nr1_nc3(m43), not_nr1_nc3(m44))
c(not_nr2_nc1(m00), not_nr2_nc1(m01), not_nr2_nc1(m02), not_nr2_nc1(m03), not_nr2_nc1(m04))
c(not_nr2_nc1(m10), not_nr2_nc1(m11), not_nr2_nc1(m12), not_nr2_nc1(m13), not_nr2_nc1(m14))
c(not_nr2_nc1(m20), not_nr2_nc1(m21), not_nr2_nc1(m22), not_nr2_nc1(m23), not_nr2_nc1(m24))
c(not_nr2_nc1(m30), not_nr2_nc1(m31), not_nr2_nc1(m32), not_nr2_nc1(m33), not_nr2_nc1(m34))
c(not_nr2_nc1(m40), not_nr2_nc1(m41), not_nr2_nc1(m42), not_nr2_nc1(m43), not_nr2_nc1(m44))
c(not_nr2_nc2(m00), not_nr2_nc2(m01), not_nr2_nc2(m02), not_nr2_nc2(m03), not_nr2_nc2(m04))
c(not_nr2_nc2(m10), not_nr2_nc2(m11), not_nr2_nc2(m12), not_nr2_nc2(m13), not_nr2_nc2(m14))
c(not_nr2_nc2(m20), not_nr2_nc2(m21), not_nr2_nc2(m22), not_nr2_nc2(m23), not_nr2_nc2(m24))
c(not_nr2_nc2(m30), not_nr2_nc2(m31), not_nr2_nc2(m32), not_nr2_nc2(m33), not_nr2_nc2(m34))
c(not_nr2_nc2(m40), not_nr2_nc2(m41), not_nr2_nc2(m42), not_nr2_nc2(m43), not_nr2_nc2(m44))
c(not_nr2_nc3(m00), not_nr2_nc3(m01), not_nr2_nc3(m02), not_nr2_nc3(m03), not_nr2_nc3(m04))
c(not_nr2_nc3(m10), not_nr2_nc3(m11), not_nr2_nc3(m12), not_nr2_nc3(m13), not_nr2_nc3(m14))
c(not_nr2_nc3(m20), not_nr2_nc3(m21), not_nr2_nc3(m22), not_nr2_nc3(m23), not_nr2_nc3(m24))
c(not_nr2_nc3(m30), not_nr2_nc3(m31), not_nr2_nc3(m32), not_nr2_nc3(m33), not_nr2_nc3(m34))
c(not_nr2_nc3(m40), not_nr2_nc3(m41), not_nr2_nc3(m42), not_nr2_nc3(m43), not_nr2_nc3(m44))
c(not_nr3_nc1(m00), not_nr3_nc1(m11), not_nr3_nc1(m12), not_nr3_nc1(m13), not_nr3_nc1(m14))
c(not_nr3_nc1(m20), not_nr3_nc1(m21), not_nr3_nc1(m22), not_nr3_nc1(m23), not_nr3_nc1(m24))
c(not_nr3_nc1(m30), not_nr3_nc1(m31), not_nr3_nc1(m32), not_nr3_nc1(m33), not_nr3_nc1(m34))
c(not_nr3_nc1(m40), not_nr3_nc1(m41), not_nr3_nc1(m42), not_nr3_nc1(m43), not_nr3_nc1(m44))
c(not_nr3_nc2(m00), not_nr3_nc2(m01), not_nr3_nc2(m02), not_nr3_nc2(m03), not_nr3_nc2(m04))
c(not_nr3_nc2(m10), not_nr3_nc2(m11), not_nr3_nc2(m12), not_nr3_nc2(m13), not_nr3_nc2(m14))
c(not_nr3_nc2(m20), not_nr3_nc2(m21), not_nr3_nc2(m22), not_nr3_nc2(m23), not_nr3_nc2(m24))
c(not_nr3_nc2(m30), not_nr3_nc2(m31), not_nr3_nc2(m32), not_nr3_nc2(m33), not_nr3_nc2(m34))
c(not_nr3_nc2(m40), not_nr3_nc2(m41), not_nr3_nc2(m42), not_nr3_nc2(m43), not_nr3_nc2(m44))
c(not_nr3_nc3(m00), not_nr3_nc3(m01), not_nr3_nc3(m02), not_nr3_nc3(m03), not_nr3_nc3(m04))
c(not_nr3_nc3(m10), not_nr3_nc3(m11), not_nr3_nc3(m12), not_nr3_nc3(m13), not_nr3_nc3(m14))
c(not_nr3_nc3(m20), not_nr3_nc3(m21), not_nr3_nc3(m22), not_nr3_nc3(m23), not_nr3_nc3(m24))
c(not_nr3_nc3(m30), not_nr3_nc3(m31), not_nr3_nc3(m32), not_nr3_nc3(m33), not_nr3_nc3(m34))
c(not_nr3_nc3(m40), not_nr3_nc3(m41), not_nr3_nc3(m42), not_nr3_nc3(m43), not_nr3_nc3(m44))
c(not_nr0_nc1p(m00), not_nr0_nc1p(m01), not_nr0_nc1p(m02), not_nr0_nc1p(m03), not_nr0_nc1p(m04))
c(not_nr0_nc1p(m10), not_nr0_nc1p(m11), not_nr0_nc1p(m12), not_nr0_nc1p(m13), not_nr0_nc1p(m14))
c(not_nr0_nc1p(m20), not_nr0_nc1p(m21), not_nr0_nc1p(m22), not_nr0_nc1p(m23), not_nr0_nc1p(m24))
c(not_nr0_nc1p(m30), not_nr0_nc1p(m31), not_nr0_nc1p(m32), not_nr0_nc1p(m33), not_nr0_nc1p(m34))
c(not_nr0_nc1p(m40), not_nr0_nc1p(m41), not_nr0_nc1p(m42), not_nr0_nc1p(m43), not_nr0_nc1p(m44))
c(not_nr0_nc2p(m00), not_nr0_nc2p(m01), not_nr0_nc2p(m02), not_nr0_nc2p(m03), not_nr0_nc2p(m04))
c(not_nr0_nc2p(m10), not_nr0_nc2p(m11), not_nr0_nc2p(m12), not_nr0_nc2p(m13), not_nr0_nc2p(m14))
c(not_nr0_nc2p(m20), not_nr0_nc2p(m21), not_nr0_nc2p(m22), not_nr0_nc2p(m23), not_nr0_nc2p(m24))
c(not_nr0_nc2p(m30), not_nr0_nc2p(m31), not_nr0_nc2p(m32), not_nr0_nc2p(m33), not_nr0_nc2p(m34))
c(not_nr0_nc2p(m40), not_nr0_nc2p(m41), not_nr0_nc2p(m42), not_nr0_nc2p(m43), not_nr0_nc2p(m44))
c(not_nr0_nc3p(m00), not_nr0_nc3p(m01), not_nr0_nc3p(m02), not_nr0_nc3p(m03), not_nr0_nc3p(m04))
c(not_nr0_nc3p(m10), not_nr0_nc3p(m11), not_nr0_nc3p(m12), not_nr0_nc3p(m13), not_nr0_nc3p(m14))
c(not_nr0_nc3p(m20), not_nr0_nc3p(m21), not_nr0_nc3p(m22), not_nr0_nc3p(m23), not_nr0_nc3p(m24))
c(not_nr0_nc3p(m30), not_nr0_nc3p(m31), not_nr0_nc3p(m32), not_nr0_nc3p(m33), not_nr0_nc3p(m34))
c(not_nr0_nc3p(m40), not_nr0_nc3p(m41), not_nr0_nc3p(m42), not_nr0_nc3p(m43), not_nr0_nc3p(m44))
c(not_nr1p_nc0(m00), not_nr1p_nc0(m01), not_nr1p_nc0(m02), not_nr1p_nc0(m03), not_nr1p_nc0(m04))
c(not_nr1p_nc0(m10), not_nr1p_nc0(m11), not_nr1p_nc0(m12), not_nr1p_nc0(m13), not_nr1p_nc0(m14))
c(not_nr1p_nc0(m20), not_nr1p_nc0(m21), not_nr1p_nc0(m22), not_nr1p_nc0(m23), not_nr1p_nc0(m24))
c(not_nr1p_nc0(m30), not_nr1p_nc0(m31), not_nr1p_nc0(m32), not_nr1p_nc0(m33), not_nr1p_nc0(m34))
c(not_nr1p_nc0(m40), not_nr1p_nc0(m41), not_nr1p_nc0(m42), not_nr1p_nc0(m43), not_nr1p_nc0(m44))
c(not_nr2p_nc0(m00), not_nr2p_nc0(m01), not_nr2p_nc0(m02), not_nr2p_nc0(m03), not_nr2p_nc0(m04))
c(not_nr2p_nc0(m10), not_nr2p_nc0(m11), not_nr2p_nc0(m12), not_nr2p_nc0(m13), not_nr2p_nc0(m14))
c(not_nr2p_nc0(m20), not_nr2p_nc0(m21), not_nr2p_nc0(m22), not_nr2p_nc0(m23), not_nr2p_nc0(m24))
c(not_nr2p_nc0(m30), not_nr2p_nc0(m31), not_nr2p_nc0(m32), not_nr2p_nc0(m33), not_nr2p_nc0(m34))
c(not_nr2p_nc0(m40), not_nr2p_nc0(m41), not_nr2p_nc0(m42), not_nr2p_nc0(m43), not_nr2p_nc0(m44))
c(not_nr3p_nc0(m00), not_nr3p_nc0(m01), not_nr3p_nc0(m02), not_nr3p_nc0(m03), not_nr3p_nc0(m04))
c(not_nr3p_nc0(m10), not_nr3p_nc0(m11), not_nr3p_nc0(m12), not_nr3p_nc0(m13), not_nr3p_nc0(m14))
c(not_nr3p_nc0(m20), not_nr3p_nc0(m21), not_nr3p_nc0(m22), not_nr3p_nc0(m23), not_nr3p_nc0(m24))
c(not_nr3p_nc0(m30), not_nr3p_nc0(m31), not_nr3p_nc0(m32), not_nr3p_nc0(m33), not_nr3p_nc0(m34))
c(not_nr3p_nc0(m40), not_nr3p_nc0(m41), not_nr3p_nc0(m42), not_nr3p_nc0(m43), not_nr3p_nc0(m44))
c(not_nr1p_nc1p(m00), not_nr1p_nc1p(m01), not_nr1p_nc1p(m02), not_nr1p_nc1p(m03), not_nr1p_nc1p(m04))
c(not_nr1p_nc1p(m10), not_nr1p_nc1p(m11), not_nr1p_nc1p(m12), not_nr1p_nc1p(m13), not_nr1p_nc1p(m14))
c(not_nr1p_nc1p(m20), not_nr1p_nc1p(m21), not_nr1p_nc1p(m22), not_nr1p_nc1p(m23), not_nr1p_nc1p(m24))
c(not_nr1p_nc1p(m30), not_nr1p_nc1p(m31), not_nr1p_nc1p(m32), not_nr1p_nc1p(m33), not_nr1p_nc1p(m34))
c(not_nr1p_nc1p(m40), not_nr1p_nc1p(m41), not_nr1p_nc1p(m42), not_nr1p_nc1p(m43), not_nr1p_nc1p(m44))
c(not_nr1p_nc2p(m00), not_nr1p_nc2p(m01), not_nr1p_nc2p(m02), not_nr1p_nc2p(m03), not_nr1p_nc2p(m04))
c(not_nr1p_nc2p(m10), not_nr1p_nc2p(m11), not_nr1p_nc2p(m12), not_nr1p_nc2p(m13), not_nr1p_nc2p(m14))
c(not_nr1p_nc2p(m20), not_nr1p_nc2p(m21), not_nr1p_nc2p(m22), not_nr1p_nc2p(m23), not_nr1p_nc2p(m24))
c(not_nr1p_nc2p(m30), not_nr1p_nc2p(m31), not_nr1p_nc2p(m32), not_nr1p_nc2p(m33), not_nr1p_nc2p(m34))
c(not_nr1p_nc2p(m40), not_nr1p_nc2p(m41), not_nr1p_nc2p(m42), not_nr1p_nc2p(m43), not_nr1p_nc2p(m44))
c(not_nr1p_nc3p(m00), not_nr1p_nc3p(m01), not_nr1p_nc3p(m02), not_nr1p_nc3p(m03), not_nr1p_nc3p(m04))
c(not_nr1p_nc3p(m10), not_nr1p_nc3p(m11), not_nr1p_nc3p(m12), not_nr1p_nc3p(m13), not_nr1p_nc3p(m14))
c(not_nr1p_nc3p(m20), not_nr1p_nc3p(m21), not_nr1p_nc3p(m22), not_nr1p_nc3p(m23), not_nr1p_nc3p(m24))
c(not_nr1p_nc3p(m30), not_nr1p_nc3p(m31), not_nr1p_nc3p(m32), not_nr1p_nc3p(m33), not_nr1p_nc3p(m34))
c(not_nr1p_nc3p(m40), not_nr1p_nc3p(m41), not_nr1p_nc3p(m42), not_nr1p_nc3p(m43), not_nr1p_nc3p(m44))
c(not_nr2p_nc1p(m00), not_nr2p_nc1p(m01), not_nr2p_nc1p(m02), not_nr2p_nc1p(m03), not_nr2p_nc1p(m04))
c(not_nr2p_nc1p(m10), not_nr2p_nc1p(m11), not_nr2p_nc1p(m12), not_nr2p_nc1p(m13), not_nr2p_nc1p(m14))
c(not_nr2p_nc1p(m20), not_nr2p_nc1p(m21), not_nr2p_nc1p(m22), not_nr2p_nc1p(m23), not_nr2p_nc1p(m24))
c(not_nr2p_nc1p(m30), not_nr2p_nc1p(m31), not_nr2p_nc1p(m32), not_nr2p_nc1p(m33), not_nr2p_nc1p(m34))
c(not_nr2p_nc1p(m40), not_nr2p_nc1p(m41), not_nr2p_nc1p(m42), not_nr2p_nc1p(m43), not_nr2p_nc1p(m44))
c(not_nr2p_nc2p(m00), not_nr2p_nc2p(m01), not_nr2p_nc2p(m02), not_nr2p_nc2p(m03), not_nr2p_nc2p(m04))
c(not_nr2p_nc2p(m10), not_nr2p_nc2p(m11), not_nr2p_nc2p(m12), not_nr2p_nc2p(m13), not_nr2p_nc2p(m14))
c(not_nr2p_nc2p(m20), not_nr2p_nc2p(m21), not_nr2p_nc2p(m22), not_nr2p_nc2p(m23), not_nr2p_nc2p(m24))
c(not_nr2p_nc2p(m30), not_nr2p_nc2p(m31), not_nr2p_nc2p(m32), not_nr2p_nc2p(m33), not_nr2p_nc2p(m34))
c(not_nr2p_nc2p(m40), not_nr2p_nc2p(m41), not_nr2p_nc2p(m42), not_nr2p_nc2p(m43), not_nr2p_nc2p(m44))
c(not_nr2p_nc3p(m00), not_nr2p_nc3p(m01), not_nr2p_nc3p(m02), not_nr2p_nc3p(m03), not_nr2p_nc3p(m04))
c(not_nr2p_nc3p(m10), not_nr2p_nc3p(m11), not_nr2p_nc3p(m12), not_nr2p_nc3p(m13), not_nr2p_nc3p(m14))
c(not_nr2p_nc3p(m20), not_nr2p_nc3p(m21), not_nr2p_nc3p(m22), not_nr2p_nc3p(m23), not_nr2p_nc3p(m24))
c(not_nr2p_nc3p(m30), not_nr2p_nc3p(m31), not_nr2p_nc3p(m32), not_nr2p_nc3p(m33), not_nr2p_nc3p(m34))
c(not_nr2p_nc3p(m40), not_nr2p_nc3p(m41), not_nr2p_nc3p(m42), not_nr2p_nc3p(m43), not_nr2p_nc3p(m44))
c(not_nr3p_nc1p(m00), not_nr3p_nc1p(m01), not_nr3p_nc1p(m02), not_nr3p_nc1p(m03), not_nr3p_nc1p(m04))
c(not_nr3p_nc1p(m10), not_nr3p_nc1p(m11), not_nr3p_nc1p(m12), not_nr3p_nc1p(m13), not_nr3p_nc1p(m14))
c(not_nr3p_nc1p(m20), not_nr3p_nc1p(m21), not_nr3p_nc1p(m22), not_nr3p_nc1p(m23), not_nr3p_nc1p(m24))
c(not_nr3p_nc1p(m30), not_nr3p_nc1p(m31), not_nr3p_nc1p(m32), not_nr3p_nc1p(m33), not_nr3p_nc1p(m34))
c(not_nr3p_nc1p(m40), not_nr3p_nc1p(m41), not_nr3p_nc1p(m42), not_nr3p_nc1p(m43), not_nr3p_nc1p(m44))
c(not_nr3p_nc2p(m00), not_nr3p_nc2p(m01), not_nr3p_nc2p(m02), not_nr3p_nc2p(m03), not_nr3p_nc2p(m04))
c(not_nr3p_nc2p(m10), not_nr3p_nc2p(m11), not_nr3p_nc2p(m12), not_nr3p_nc2p(m13), not_nr3p_nc2p(m14))
c(not_nr3p_nc2p(m20), not_nr3p_nc2p(m21), not_nr3p_nc2p(m22), not_nr3p_nc2p(m23), not_nr3p_nc2p(m24))
c(not_nr3p_nc2p(m30), not_nr3p_nc2p(m31), not_nr3p_nc2p(m32), not_nr3p_nc2p(m33), not_nr3p_nc2p(m34))
c(not_nr3p_nc2p(m40), not_nr3p_nc2p(m41), not_nr3p_nc2p(m42), not_nr3p_nc2p(m43), not_nr3p_nc2p(m44))
c(not_nr3p_nc3p(m00), not_nr3p_nc3p(m01), not_nr3p_nc3p(m02), not_nr3p_nc3p(m03), not_nr3p_nc3p(m04))
c(not_nr3p_nc3p(m10), not_nr3p_nc3p(m11), not_nr3p_nc3p(m12), not_nr3p_nc3p(m13), not_nr3p_nc3p(m14))
c(not_nr3p_nc3p(m20), not_nr3p_nc3p(m21), not_nr3p_nc3p(m22), not_nr3p_nc3p(m23), not_nr3p_nc3p(m24))
c(not_nr3p_nc3p(m30), not_nr3p_nc3p(m31), not_nr3p_nc3p(m32), not_nr3p_nc3p(m33), not_nr3p_nc3p(m34))
c(not_nr3p_nc3p(m40), not_nr3p_nc3p(m41), not_nr3p_nc3p(m42), not_nr3p_nc3p(m43), not_nr3p_nc3p(m44))
##
## DEFINE ARRAY VARIABLE SET
##
a <- function(...) {array(1, dim = unlist(list(...), use.names = F))}
a0 <- NULL
a1 <- a(1)
a11 <- a(1, 1)
a111 <- a(1, 1, 1)
a1111 <- a(1, 1, 1, 1)
##
## DEMO [ndim], [ndimX], [ndimXp], [not_ndimX], AND [not_ndimXp] FUNCTIONS
##
c(ndim(a0), ndim(a1), ndim(a11), ndim(a111), ndim(a1111))
c(ndim0(a0), ndim0(a1), ndim0(a11), ndim0(a111), ndim0(a1111))
c(ndim1(a0), ndim1(a1), ndim1(a11), ndim1(a111), ndim1(a1111))
c(ndim2(a0), ndim2(a1), ndim2(a11), ndim2(a111), ndim2(a1111))
c(ndim3(a0), ndim3(a1), ndim3(a11), ndim3(a111), ndim3(a1111))
c(ndim1p(a0), ndim1p(a1), ndim1p(a11), ndim1p(a111), ndim1p(a1111))
c(ndim2p(a0), ndim2p(a1), ndim2p(a11), ndim2p(a111), ndim2p(a1111))
c(ndim3p(a0), ndim3p(a1), ndim3p(a11), ndim3p(a111), ndim3p(a1111))
c(not_ndim0(a0), not_ndim0(a1), not_ndim0(a11), not_ndim0(a111), not_ndim0(a1111))
c(not_ndim1(a0), not_ndim1(a1), not_ndim1(a11), not_ndim1(a111), not_ndim1(a1111))
c(not_ndim2(a0), not_ndim2(a1), not_ndim2(a11), not_ndim2(a111), not_ndim2(a1111))
c(not_ndim3(a0), not_ndim3(a1), not_ndim3(a11), not_ndim3(a111), not_ndim3(a1111))
c(not_ndim1p(a0), not_ndim1p(a1), not_ndim1p(a11), not_ndim1p(a111), not_ndim1p(a1111))
c(not_ndim2p(a0), not_ndim2p(a1), not_ndim2p(a11), not_ndim2p(a111), not_ndim2p(a1111))
c(not_ndim3p(a0), not_ndim3p(a1), not_ndim3p(a11), not_ndim3p(a111), not_ndim3p(a1111))
##
## DEFINE [NA] VARIABLE SET
##
na0 <- na1 <- na2 <- na3 <- na4 <- letters
na1[5] <- NA
na2[c(5, 10)] <- NA
na3[c(5, 10, 15)] <- NA
na4[c(5, 10, 15, 25)] <- NA
##
## DEMO [nnav], [nnavX], [nnavXp], [not_nnavX], AND [not_nnavXp] FUNCTIONS
##
c(nnav(na0), nnav(na1), nnav(na2), nnav(na3), nnav(na4))
c(nnav0(na0), nnav0(na1), nnav0(na2), nnav0(na3), nnav0(na4))
c(nnav1(na0), nnav1(na1), nnav1(na2), nnav1(na3), nnav1(na4))
c(nnav2(na0), nnav2(na1), nnav2(na2), nnav2(na3), nnav2(na4))
c(nnav3(na0), nnav3(na1), nnav3(na2), nnav3(na3), nnav3(na4))
c(nnav1p(na0), nnav1p(na1), nnav1p(na2), nnav1p(na3), nnav1p(na4))
c(nnav2p(na0), nnav2p(na1), nnav2p(na2), nnav2p(na3), nnav2p(na4))
c(nnav3p(na0), nnav3p(na1), nnav3p(na2), nnav3p(na3), nnav3p(na4))
c(not_nnav0(na0), not_nnav0(na1), not_nnav0(na2), not_nnav0(na3), not_nnav0(na4))
c(not_nnav1(na0), not_nnav1(na1), not_nnav1(na2), not_nnav1(na3), not_nnav1(na4))
c(not_nnav2(na0), not_nnav2(na1), not_nnav2(na2), not_nnav2(na3), not_nnav2(na4))
c(not_nnav3(na0), not_nnav3(na1), not_nnav3(na2), not_nnav3(na3), not_nnav3(na4))
c(not_nnav1p(na0), not_nnav1p(na1), not_nnav1p(na2), not_nnav1p(na3), not_nnav1p(na4))
c(not_nnav2p(na0), not_nnav2p(na1), not_nnav2p(na2), not_nnav2p(na3), not_nnav2p(na4))
c(not_nnav3p(na0), not_nnav3p(na1), not_nnav3p(na2), not_nnav3p(na3), not_nnav3p(na4))
##
## DEFINE [OK] VARIABLE SET
##
ok0 <- ok1 <- ok2 <- ok3 <- ok4 <- 0:9
ok0[1:10] <- NA
ok1[1:9] <- NA
ok2[1:8] <- NA
ok3[1:7] <- NA
ok4[1:6] <- NA
##
## DEMO [nokv], [nokvX], [nokvXp], [not_nokvX], AND [not_nokvXp] FUNCTIONS
##
c(nokv(ok0), nokv(ok1), nokv(ok2), nokv(ok3), nokv(ok4))
c(nokv0(ok0), nokv0(ok1), nokv0(ok2), nokv0(ok3), nokv0(ok4))
c(nokv1(ok0), nokv1(ok1), nokv1(ok2), nokv1(ok3), nokv1(ok4))
c(nokv2(ok0), nokv2(ok1), nokv2(ok2), nokv2(ok3), nokv2(ok4))
c(nokv3(ok0), nokv3(ok1), nokv3(ok2), nokv3(ok3), nokv3(ok4))
c(nokv1p(ok0), nokv1p(ok1), nokv1p(ok2), nokv1p(ok3), nokv1p(ok4))
c(nokv2p(ok0), nokv2p(ok1), nokv2p(ok2), nokv2p(ok3), nokv2p(ok4))
c(nokv3p(ok0), nokv3p(ok1), nokv3p(ok2), nokv3p(ok3), nokv3p(ok4))
c(not_nokv0(ok0), not_nokv0(ok1), not_nokv0(ok2), not_nokv0(ok3), not_nokv0(ok4))
c(not_nokv1(ok0), not_nokv1(ok1), not_nokv1(ok2), not_nokv1(ok3), not_nokv1(ok4))
c(not_nokv2(ok0), not_nokv2(ok1), not_nokv2(ok2), not_nokv2(ok3), not_nokv2(ok4))
c(not_nokv3(ok0), not_nokv3(ok1), not_nokv3(ok2), not_nokv3(ok3), not_nokv3(ok4))
c(not_nokv1p(ok0), not_nokv1p(ok1), not_nokv1p(ok2), not_nokv1p(ok3), not_nokv1p(ok4))
c(not_nokv2p(ok0), not_nokv2p(ok1), not_nokv2p(ok2), not_nokv2p(ok3), not_nokv2p(ok4))
c(not_nokv3p(ok0), not_nokv3p(ok1), not_nokv3p(ok2), not_nokv3p(ok3), not_nokv3p(ok4))
##
## DEFINE LIST VARIABLE SET
##
NS0 <- list(a = NULL, b = NULL)
NS1 <- list(a = 1, b = 2)
NS2 <- list(a = 1:2, b = 3:4)
NS3 <- list(a = 1:3, b = 4:6)
NS4 <- list(a = 1:4, b = 5:8)
NSx <- list(a = 1, b = 2:3)
##
## DEMO [ns], [nsX], [nxXp], [not_nsX], AND [not_nsXp] FUNCTIONS
##
list(NS0 = ns(NS0), NS1 = ns(NS1), NS2 = ns(NS2), NS3 = ns(NS3), NS4 = ns(NS4), NSx = ns(NSx))
c(ns0(NS0), ns0(NS1), ns0(NS2), ns0(NS3), ns0(NS4), ns0(NSx))
c(ns1(NS0), ns1(NS1), ns1(NS2), ns1(NS3), ns1(NS4), ns1(NSx))
c(ns2(NS0), ns2(NS1), ns2(NS2), ns2(NS3), ns2(NS4), ns2(NSx))
c(ns3(NS0), ns3(NS1), ns3(NS2), ns3(NS3), ns3(NS4), ns3(NSx))
c(ns1p(NS0), ns1p(NS1), ns1p(NS2), ns1p(NS3), ns1p(NS4), ns1p(NSx))
c(ns2p(NS0), ns2p(NS1), ns2p(NS2), ns2p(NS3), ns2p(NS4), ns2p(NSx))
c(ns3p(NS0), ns3p(NS1), ns3p(NS2), ns3p(NS3), ns3p(NS4), ns3p(NSx))
c(not_ns0(NS0), not_ns0(NS1), not_ns0(NS2), not_ns0(NS3), not_ns0(NS4), not_ns0(NSx))
c(not_ns1(NS0), not_ns1(NS1), not_ns1(NS2), not_ns1(NS3), not_ns1(NS4), not_ns1(NSx))
c(not_ns2(NS0), not_ns2(NS1), not_ns2(NS2), not_ns2(NS3), not_ns2(NS4), not_ns2(NSx))
c(not_ns3(NS0), not_ns3(NS1), not_ns3(NS2), not_ns3(NS3), not_ns3(NS4), not_ns3(NSx))
c(not_ns1p(NS0), not_ns1p(NS1), not_ns1p(NS2), not_ns1p(NS3), not_ns1p(NS4), not_ns1p(NSx))
c(not_ns2p(NS0), not_ns2p(NS1), not_ns2p(NS2), not_ns2p(NS3), not_ns2p(NS4), not_ns2p(NSx))
c(not_ns3p(NS0), not_ns3p(NS1), not_ns3p(NS2), not_ns3p(NS3), not_ns3p(NS4), not_ns3p(NSx))
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