94 lines
1.8 KiB
Plaintext
94 lines
1.8 KiB
Plaintext
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/*
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**********************************************************************
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*
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* CLP(R) Version 2.0 (Example Programs Release)
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* (C) Copyright, March 1986, Monash University
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*
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**********************************************************************
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*/
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%
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% Matrix inversion package. The goal ?- go
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% invers a matrix, prints the inverse, then multiplies the two,
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% getting the identity matrix, and prints that.
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%
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sizemat(M,R,C):-
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mylength(M,R),
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allvec(M,C).
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allvec([],C).
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allvec([H|T],C):-
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mylength(H,C),
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allvec(T,C).
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mylength([],0). % length->mylength by ch
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mylength([H],1). % to avoid name clash
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mylength([H|T],L+1):-
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mylength(T,L).
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matmul([H|T],B,[H1|T1]):-
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rowmul(H,B,H1),
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matmul(T,B,T1).
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matmul([],_,[]).
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rowmul(AV,[H|T],[H1|T1]):-
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vecmul(AV,H,0,H1),
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rowmul(AV,T,T1).
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rowmul(_,[],[]).
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vecmul([H1|T1],[H2|T2],IN,OUT):-
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TMP = IN + H1 * H2,
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vecmul(T1,T2,TMP,OUT).
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vecmul([],[],S,S).
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rowtocol(A,[H|T]):-
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stripfirst(A,H,REST),
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rowtocol(REST,T).
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rowtocol(A,[]).
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stripfirst([H|T],[H1|T1],[H2|T2]):-
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stripvec(H,H1,H2),
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stripfirst(T,T1,T2).
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stripfirst([],[],[]).
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stripvec([H|T],H,T).
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putmat([H|T]):-
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putvec(H),
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putmat(T).
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putmat([]).
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putvec([H|T]):-
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printf(" %9.4f ",[H]),
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putvec(T).
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putvec([]):-
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nl.
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go:- M = [ [4,5,6], [1,5,3], [1,8,9] ],
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I = [ [1,0,0], [0,1,0], [0,0,1] ],
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sizemat(N,3,3),
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sizemat(NR,3,3),
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sizemat(T,3,3),
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matmul(M,N,I),
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rowtocol(NR,N),
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matmul(M,N,T),
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printf(" NR = \n",[]),
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putmat(NR),
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printf(" T = \n",[]),
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putmat(T).
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% Output:
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% NR =
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% 0.2917 0.0417 -0.2083
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% -0.0833 0.4167 -0.0833
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% 0.0417 -0.3750 0.2083
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% T =
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% 1.0000 0.0000 0.0000
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% 0.0000 1.0000 0.0000
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% 0.0000 0.0000 1.0000
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?- printf("\n>>> Sample goal: go/0\n", []).
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