| 1 | #*------------------------------------------------------------------- |
|---|
| 2 | * EMSO Model Library (EML) Copyright (C) 2004 - 2007 ALSOC. |
|---|
| 3 | * |
|---|
| 4 | * This LIBRARY is free software; you can distribute it and/or modify |
|---|
| 5 | * it under the therms of the ALSOC FREE LICENSE as available at |
|---|
| 6 | * http://www.enq.ufrgs.br/alsoc. |
|---|
| 7 | * |
|---|
| 8 | * EMSO Copyright (C) 2004 - 2007 ALSOC, original code |
|---|
| 9 | * from http://www.rps.eng.br Copyright (C) 2002-2004. |
|---|
| 10 | * All rights reserved. |
|---|
| 11 | * |
|---|
| 12 | * EMSO is distributed under the therms of the ALSOC LICENSE as |
|---|
| 13 | * available at http://www.enq.ufrgs.br/alsoc. |
|---|
| 14 | * |
|---|
| 15 | *-------------------------------------------------------------------- |
|---|
| 16 | * Sample file for matrix functions. |
|---|
| 17 | *-------------------------------------------------------------------- |
|---|
| 18 | * Author: Rodolfo Rodrigues |
|---|
| 19 | * $Id: Matrix_Function.mso 89 2006-12-14 20:29:34Z bicca $ |
|---|
| 20 | *------------------------------------------------------------------*# |
|---|
| 21 | # |
|---|
| 22 | # EMSO sample file of matrix functions |
|---|
| 23 | # |
|---|
| 24 | # -------------------------------------------------------- |
|---|
| 25 | # Function | EMSO Built-In |
|---|
| 26 | # -------------------------------------------------------- |
|---|
| 27 | # Sum matrix elements | sum |
|---|
| 28 | # product matrix elements | prod |
|---|
| 29 | # Sum transpose matrix elements | sumt |
|---|
| 30 | # product transpose matrix elements | prodt |
|---|
| 31 | # transpose matrix |transp |
|---|
| 32 | # |
|---|
| 33 | #++++++++++++++++++++++++++++++++++++++++++++++++++++ |
|---|
| 34 | |
|---|
| 35 | #*--------------------------------------------------- |
|---|
| 36 | * |
|---|
| 37 | * Given the matrix A: |
|---|
| 38 | * |
|---|
| 39 | * |-2 3 1 0| |
|---|
| 40 | * |-1 -1 0 2| |
|---|
| 41 | * | 0 5 1 0| |
|---|
| 42 | * |
|---|
| 43 | *--------------------------------------------------*# |
|---|
| 44 | |
|---|
| 45 | FlowSheet Matrix_Function |
|---|
| 46 | PARAMETERS |
|---|
| 47 | M as Integer; |
|---|
| 48 | N as Integer; |
|---|
| 49 | A(M,N) as Real; |
|---|
| 50 | |
|---|
| 51 | |
|---|
| 52 | VARIABLES |
|---|
| 53 | Sumt_(M) as Real; |
|---|
| 54 | Sum_(N) as Real; |
|---|
| 55 | |
|---|
| 56 | Prodt_(M) as Real; |
|---|
| 57 | Prod_(N) as Real; |
|---|
| 58 | |
|---|
| 59 | Transp_(N,M)as Real; |
|---|
| 60 | |
|---|
| 61 | |
|---|
| 62 | SET |
|---|
| 63 | M = 3; # rows |
|---|
| 64 | N = 4; # columns |
|---|
| 65 | |
|---|
| 66 | A(:,1) = [-2, -1, 0]; |
|---|
| 67 | A(:,2) = [ 3, -1, 5]; |
|---|
| 68 | A(:,3) = [ 1, 0, 1]; |
|---|
| 69 | A(:,4) = [ 0, 2, 0]; |
|---|
| 70 | |
|---|
| 71 | |
|---|
| 72 | EQUATIONS |
|---|
| 73 | #*--------------------------------------------------- |
|---|
| 74 | * |
|---|
| 75 | * |-2 3 1 0| |
|---|
| 76 | * sum|-1 -1 0 2| = |-3 7 2 2| |
|---|
| 77 | * | 0 5 1 0| |
|---|
| 78 | * |
|---|
| 79 | *---------------------------------------------------*# |
|---|
| 80 | "Function sum" |
|---|
| 81 | Sum_ = sum(A); |
|---|
| 82 | |
|---|
| 83 | |
|---|
| 84 | #*--------------------------------------------------- |
|---|
| 85 | * |
|---|
| 86 | * |-2 3 1 0| | 2| |
|---|
| 87 | * sumt|-1 -1 0 2| = | 0| |
|---|
| 88 | * | 0 5 1 0| | 6| |
|---|
| 89 | * |
|---|
| 90 | *---------------------------------------------------*# |
|---|
| 91 | "Function sumt" |
|---|
| 92 | Sumt_ = sumt(A); |
|---|
| 93 | |
|---|
| 94 | |
|---|
| 95 | #*--------------------------------------------------- |
|---|
| 96 | * |
|---|
| 97 | * |-2 3 1 0| |
|---|
| 98 | * prod|-1 -1 0 2| = | 0 -15 0 0| |
|---|
| 99 | * | 0 5 1 0| |
|---|
| 100 | * |
|---|
| 101 | *---------------------------------------------------*# |
|---|
| 102 | "Function prod" |
|---|
| 103 | Prod_ = prod(A); |
|---|
| 104 | |
|---|
| 105 | |
|---|
| 106 | #*--------------------------------------------------- |
|---|
| 107 | * |
|---|
| 108 | * |-2 3 1 0| | 0| |
|---|
| 109 | * prodt|-1 -1 0 2| = | 0| |
|---|
| 110 | * | 0 5 1 0| | 0| |
|---|
| 111 | * |
|---|
| 112 | *---------------------------------------------------*# |
|---|
| 113 | "Function prod" |
|---|
| 114 | Prodt_ = prodt(A); |
|---|
| 115 | |
|---|
| 116 | |
|---|
| 117 | #*--------------------------------------------------- |
|---|
| 118 | * |
|---|
| 119 | * |-2 3 1 0| |-2 -1 0| |
|---|
| 120 | * transp|-1 -1 0 2| = | 3 -1 5| |
|---|
| 121 | * | 0 5 1 0| | 1 0 1| |
|---|
| 122 | * | 0 2 0| |
|---|
| 123 | * |
|---|
| 124 | *---------------------------------------------------*# |
|---|
| 125 | "Function transp" |
|---|
| 126 | Transp_ = transp(A); |
|---|
| 127 | |
|---|
| 128 | |
|---|
| 129 | OPTIONS |
|---|
| 130 | Dynamic = false; |
|---|
| 131 | end |
|---|
