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Escalonando Matrizes em APL: Código
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∇R←IDENTITY N | |
R←(N N)⍴(1,N⍴0) | |
∇ | |
∇R←EXTENDBOTTOM MAT | |
R←(((↑⍴MAT)⍴1),0)\[1]MAT | |
∇ | |
∇R←EXTENDRIGHT MAT | |
R←(((2⌷⍴MAT)⍴1),0)\MAT | |
∇ | |
∇R←N PIVOT MAT;LST;IDX | |
LST←N⌷[1]MAT | |
IDX←(0≠LST)⍳1 | |
→(IDX>⍴LST)/0 | |
R←IDX⌷LST | |
∇ | |
∇R←A GCD B | |
→(B=0)/END | |
(A B)←(B (|B | A)) | |
→1 | |
END: R←A | |
∇ | |
∇R←SIMPVEC VEC;SIMPL | |
SIMPL←VEC÷GCD/⌊|VEC[⍒|VEC] | |
→(×+/0<SIMPL-⌊SIMPL)/DONTSIMPL | |
R←SIMPL | |
→0 | |
DONTSIMPL:R←VEC | |
∇ | |
∇R←L GAUSSELIM A;ZEROLNS | |
→(0=+/|A[L;])/END | |
A[L;]←(×L PIVOT A)×SIMPVEC A[L;] | |
ZEROLNS←(~L=ZEROLNS)/ZEROLNS←⍳↑⍴A | |
R←{A[⍵;]←((L PIVOT A)×A[⍵;])-(A[⍵;L]×A[L;])}¨ZEROLNS | |
END:R←A | |
∇ | |
∇R←GAUSSJORDAN MAT | |
R←{MAT←⍵ GAUSSELIM MAT}¨⍳↑⍴MAT | |
R←{MAT[⍵;]←SIMPVEC MAT[⍵;]}¨⍳↑⍴MAT | |
R←MAT | |
∇ |
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