/TABLE/0

Block Format Keyword Defines a table with up to four dimensions using data points.

Format

(1)	(2)	(3)	(4)	(5)
/TABLE/0/`table_ID`
`table_title`
`dimension`	`n`₁	`n`₂	`n`₃	`n`₄

If dimension = 1, fill the values of the first entry

(1)	(3)	(5)
`X`₁	`X`₂	etc
etc
	etc	`X`_n1

If dimension = 2, fill additional values of the second entry

(1)	(3)	(5)
`Y`₁	`Y`₂	etc
etc
	etc	`Y`_n2

If dimension = 3, fill additional values of the third entry

(1)	(3)	(5)
`Z`₁	`Z`₂	etc
etc
	etc	`Z`_n3

If dimension = 4, fill additional values of the fourth entry

(1)	(3)	(5)
`W`₁	`W`₂	etc
etc
	etc	`W`_n4

Fill the values of the table T(X_i, Y_j, Z_k, and W_l)

(1)	(3)	(5)	(9)
`T`₁	`T`₂	etc
etc
etc
			$T_{k}$

Definitions

Field	Contents	SI Unit Example
`table_ID`	Table identifier. (Integer, maximum 10 digits)
`table_title`	Table title. (Character, maximum 100 characters)
`dimension`	Total number of entries. (Integer ≤ 4)
`n`₁, ..., `n`_dimension	Number of values for entry n₁, ..., `n`_dimension. (Integer)
`X`_i	`i`^th value of first entry (1 ≤ i ≤ n₁). (Real)
`Y`_j	`i`^th value of second entry (1 ≤ i ≤ n₂). (Real)
`Z`_k	`i`^th value of third entry (1 ≤ i ≤ n₃). (Real)
`W`_l	`i`^th value of fourth entry (1 ≤ i ≤ n₄). (Real)
`T`_k	`k`^th value of the table ( $1 \leq k \leq n_{1} \cdot n_{1} \cdot \cdot \cdot n_{d i m e n s i o n}$ ). (Real)

Example

For dimension=1, the number of table value T is

n_{1} = 4

, and the table value are:

$T (X = 1.1) = 4$
$T (X = 1.2) = 5$
$T (X = 1.3) = 6$
$T (X = 1.4) = 7$

For dimension=2, the number of table value T is

n_{1} \cdot n_{2} = 4 \times 4 = 16

, and some of the table value are:

$T (X = 1.1, Y = 2.1) = 9$	$T (X = 1.1, Y = 2.2) = 13$
$T (X = 1.2, Y = 2.1) = 10$	$T (X = 1.2, Y = 2.2) = 14$
$T (X = 1.3, Y = 2.1) = 11$	$T (X = 1.3, Y = 2.2) = 15$
$T (X = 1.4, Y = 2.1) = 12$	$T (X = 1.4, Y = 2.2) = 16$

#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
/TABLE/0/1003
table type 0 with dimension 1
#dimension        n1        n2        n3        n4
         1         4         0         0         0
#                  X
                 1.1                 1.2                 1.3                 1.4
#                  T
                   4                   5                   6                   7
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
/TABLE/0/1004
table type 0 with dimension 2
#dimension        n1        n2        n3        n4
         2         4         4         0         0
#                  X
                 1.1                 1.2                 1.3                 1.4
#                  Y
                 2.1                 2.2                 2.3                 2.4
#                  T
                   9                  10                  11                  12                  13
                  14                  15                  16                  17                  18
                  19                  20                  21                  22                  23
                  24
#---1----|----2----|----3----|----4----|----5----|----6----|----7----|----8----|----9----|---10----|
#enddata

Comments

A function and a table cannot share the same identifier.
The full grid is input. N₁, ... N_dimension is mandatory. If the dimension =1, N₁, is mandatory; if the dimension=2, N₁ and N₂ are mandatory, etc.
The dimension of a table is the same as the number of input entries.
The input values of the entry must be strictly increasing, let
$X_{1} < X_{2} < \cdot \cdot \cdot < X_{n}$

$Y_{1} < Y_{2} < \cdot \cdot \cdot < Y_{n}$

$Z_{1} < Z_{2} < \cdot \cdot \cdot < Z_{n}$

$W_{1} < W_{2} < \cdot \cdot \cdot < W_{n}$
The values of the table must be given in the following order:
- first entry varies first
- second entry varies as the second one
- dimension entry varies as the last one
As an example, let a 3-dimension table and let the four entries be denoted X, Y, and Z: the values of the table must be given in the following order:

$T (X_{1}, Y_{1}, Z_{1})$ , $T (X_{2}, Y_{1}, Z_{1})$ , …, $T (X_{n 1}, Y_{1}, Z_{1})$

$T (X_{1}, Y_{2}, Z_{1})$ , $T (X_{2}, Y_{2}, Z_{1})$ , …, $T (X_{n 1}, Y_{n 2}, Z_{1})$

$T (X_{1}, Y_{1}, Z_{2})$ , $T (X_{2}, Y_{1}, Z_{2})$ , …, $T (X_{n 1}, Y_{1}, Z_{2})$

$T (X_{1}, Y_{2}, Z_{2})$ , …, $T (X_{n 1}, Y_{2}, Z_{2})$ , …, $T (X_{n 1}, Y_{n 2}, Z_{2})$ , …., $T (X_{n 1}, Y_{n 2}, Z_{n 3})$