HP 3000 Manuals HP 3000 Manuals
MAT =
The MAT = statement assigns the value of an expression to an array. Some
forms of the MAT statement can redimension the array before the
assignment.
Syntax
The numbers preceding these syntax specifications are referenced in Table
4-5. They are not part of the MAT statement syntax.
(1) MAT num_array1 = num_array2
(2) MAT num_array1 = (num_expr)
(3a) MAT num_array1 = num_array2 op (num_expr)
(3b) MAT num_array1 = (num_expr) op num_array2
(4) MAT num_array1 = num_array2 op num_array3
{CON}
(5) MAT num_array1 = {ZER} [(dims)]
{IDN}
(6) MAT num_array1 = s_or_a_function (num_array2)
(7) MAT num_array1 = array_function (num_array2)
(8) MAT num_array1 = MUL (num_array2, num_array3)
Parameters
op +, -, *, /, <, <=, =,>=, <>, or #
num_array1 In equation (4), num_array1 must have the same number
of dimensions as num_array2 and num_array3. It must
have at least as many elements as each of num_array2
and num_array3.
num_array3 In equation (4), num_array3 must have the same number
of dimensions as num_array2. Each dimension of
num_array3 must have the same number of elements as
the corresponding dimension of num_array2. However,
corresponding dimensions of num_array3 and num_array2
can have different bounds (for example, num_array2
can be declared "DIM A(1:2,1:4)" and num_array3 can
be declared "DIM B(2:3,2:5)").
In equation (8), num_array2 and num_array3 can both
be matrices, or one can be a matrix and one can be a
vector. The dimensions of num_array2 and num_array3
are subject to the restrictions in Table 4-6.
CON Sets each element of array to one.
ZER Sets each element of array to zero.
IDN Makes array an identity matrix. If dims is
specified, it must specify a square matrix. If dims
is not specified, array must be a square matrix.
dims If specified, the statement redimensions num_array1
before assigning values to its elements.
s_or_a_function A scalar or array function; one of the following:
ABS ACS ASN ATN CEIL LGT
DECIMAL EXP FRACT INT INTEGER LOG
REAL SDECIMAL SGN SIN SINTEGER SQR
SREAL TAN TRUNC COS
See chapter 5 for more information about these
functions.
array_function See chapter 5 and Table 4-6 for more information
about these functions.
CSUM Stores column sums of matrix in
vector.
RSUM Stores row sums of matrix in
vector.
TRN Transposes rows and columns of
matrix.
INV Inverts square matrix.
MUL Multiplies two matrices or a
vector and a matrix.
Table 4-5 through Table 4-6 give more information about the MAT =
statement.
Table 4-5 Gives the new dimensions of and value of num_array1 for
each form of the MAT = statement.
Table 4-6 Shows how the dimensions of num_array2 and num_array3
determine the new dimensions of num_array1.
Table 4-5. Forms of MAT = Statement
-----------------------------------------------------------------------------------------------
| | | |
| Form | Redimensions num_array1 | Where num_array1(i) and num_array2(i) |
| | to Dimension of: | are Corresponding Elements: num_array1(i)= |
| | | |
-----------------------------------------------------------------------------------------------
| | | |
| 1 | num_array2 | num_array2(i) |
| | | |
-----------------------------------------------------------------------------------------------
| | | |
| 2 | Does not redimension | num_expr |
| | | |
| | num_array1 | |
| | | |
-----------------------------------------------------------------------------------------------
| | | |
| 3a | num_array2 | num_array2(i) op num_expr |
| | | |
-----------------------------------------------------------------------------------------------
| | | |
| 3b | num_array2 | num_expr op num_array2(i) |
| | | |
-----------------------------------------------------------------------------------------------
| | | |
| 4 | num_array2, | num_array2(i) op num_array3(i) |
| | | |
| | num_array3 | |
| | (same) | |
| | | |
-----------------------------------------------------------------------------------------------
| | | |
| 5 | Specified dimensions, if any | ZER: 0 |
| | | CON: 1 |
| | | IDN: 1 if it is on the top-left-to-bottom-ri|ht
| | | diagonal; 0 otherwise |
| | | |
-----------------------------------------------------------------------------------------------
| | | |
| 6 | num_array2 | scalar_or_array_function (num_array2) |
| | | |
-----------------------------------------------------------------------------------------------
| | | |
| 7 | See Table 4-6 | See Table 4-6 |
| | | |
| 8 | | |
| | | |
-----------------------------------------------------------------------------------------------
Table 4-6. Dimensions of Array Function Arguments and Results
-------------------------------------------------------------------------------------------------
| | | | |
| Array | Dimensions of | Dimensions of | Dimensions of |
| Function | num_array2 | num_array3 | num_array1 (result) |
| | | | |
-------------------------------------------------------------------------------------------------
| | | | |
| CSUM | (m,n) | Not applicable | (n) |
| | | | |
-------------------------------------------------------------------------------------------------
| | | | |
| RSUM | (m,n) | Not applicable | (m) |
| | | | |
-------------------------------------------------------------------------------------------------
| | | | |
| TRN | (m,n) | Not applicable | (n,m) |
| | | | |
-------------------------------------------------------------------------------------------------
| | | | |
| INV | (m,m) | Not applicable | (m,m) |
| | | | |
-------------------------------------------------------------------------------------------------
| | | | |
| MUL | (m,n) | (n,p) | (m,p) |
| | | | |
-------------------------------------------------------------------------------------------------
| | | | |
| MUL | (m,n) | (n) | (m) |
| | | | |
-------------------------------------------------------------------------------------------------
| | | | |
| MUL | (m) | (m,p) | (p) |
| | | | |
-------------------------------------------------------------------------------------------------
Examples
10 DIM A(4),B(4),C(4),D(4),E(2,4),F(2)
20 READ (FOR I=1 TO 4,A(I))
30 READ (FOR I=1 TO 2,(FOR J=1 TO 4,E(I,J)))
40 !
50 ! Form 1:
60 MAT B=A !B has the same elements as A, B(1) = A(1), etc
70 !
80 ! Form 2:
90 MAT C=(2+3) !All elements of C have the value of 5
100 !
110 ! Form 3:
120 MAT D=(2)*B ! All elements of D are worth 2 * B, D(1) =20 ,etc
130 MAT D=B*(2) !Alternate form 3b, results are the same as line 61
140 !
150 ! Form 4:
160 MAT C=A+B !Each element, I of C is the total of A(I) + B(I)
170 !
180 ! Form 5:
190 MAT B=CON ! Each element of B is now 1
200 !
210 ! Form 6:
220 MAT D=SQR(A) ! Each element, I of D is now the square root of A(I)
230 !
240 ! Form 7:
250 MAT C=CSUM(E) ! Each element, I of C is now the sum of the entries
260 ! in column I of E
270 !
280 ! Form 8:
290 MAT F=MUL(E,A) ! Array F contains the result of the matrix
300 ! multiplication of E and A
310 !
320 !
330 DATA 10,20,30,40
340 DATA 1,2,3,4,5,6,7,8
999 END