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Paul Kimpel 2d06034237 Commit latest BALGOL compiler debugging and examples.
1. Supply runnable examples for all five sample programs in the BALGOL
reference manual.
2. Regenerate the Generator and Compiler listings and tape images.
3. Fix assembler bugs with "S" format code on input.
4. Fix BAC-Assembler bug generating a machine-language deck for the
LABEL intrinsic.
5. Note that some of these changes require retro-220 version 0.08 in
order to work properly.
2018-07-08 18:48:05 -07:00

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2 COMMENT THIRD EXAMPLE PROGRAM FROM BALGOL MANUAL, MARCH 1963.
2
2 THE SHORT PROGRAM WHICH FOLLOWS IS FOR A REDUCTION OF A SQUARE MATRIX
2 TO TRIDIAGONAL FORM, USING THE METHOD OF HOUSEHOLDER;
2
2 COMMENT HOUSEHOLDER REDUCTION TO TRIDIAGONAL FORM;
2 INTEGER I, J, K, L, R, N;
2 ARRAY A(50,50), X(50), P(50);
2 INPUT
2 ELEMENT (I, J, Q);
2 OUTPUT
2 AOUT (A(R,R)),
2 BOUT (-0.5/S);
2 FORMAT
2 AF (B10, X10.5, W),
2 BF (B40, X10.5, W);
2
2 N = 5;
2 IN..
2 READ (;; ELEMENT);
2 IF I NEQ 0;
2 BEGIN
2 A(I,J) = Q;
2 GO TO IN
2 END;
2
2 FOR R = (1,1,N-1);
2 BEGIN
2 WRITE (;; AOUT, AF);
2 L = R+1;
2 S = 0;
2 FOR J = (L,1,N);
2 S = S + A(R,J)*2;
2
2 S = SIGN(A(R,L))/2SQRT(S);
2 WRITE (;; BOUT, BF);
2 X(L) = SQRT(0.5 + A(R,L).S);
2 S = S/X(L);
2 FOR J = (R+2,1,N);
2 X(J) = S.A(R,J);
2 FOR J = (R,1,N);
2 BEGIN
2 S = 0;
2 FOR K = (L,1,N);
2 S = S + A(MIN(J,K), MAX(J,K)).X(K);
2 P(J) = S
2 END;
2
2 S = 0;
2 FOR J = (L,1,N);
2 S = S + X(J).P(J); * X(J) WAS K(J)
2 FOR J = (L,1,N);
2 P(J) = P(J) - S.X(J);
2 FOR J = (L,1,N);
2 FOR K = (J,1,N);
2 A(J,K) = A(J,K) - 2(X(J).P(K) + X(K).P(J))
2 END;
2
2 WRITE (;; AOUT, AF);
2 STOP;
2 GO TO IN;
2 FINISH;
5 1 1 4.0
5 1 2 1.0
5 1 3 -2.0
5 1 4 2.0
5 1 5 1.0
5 2 1 1.0
5 2 2 2.0
5 2 3 0.0
5 2 4 1.0
5 2 5 1.0
5 3 1 -2.0
5 3 2 0.0
5 3 3 3.0
5 3 4 -2.0
5 3 5 1.0
5 4 1 2.0
5 4 2 1.0
5 4 3 -2.0
5 4 4 -1.0
5 4 5 1.0
5 5 1 1.0
5 5 2 1.0
5 5 3 1.0
5 5 4 1.0
5 5 5 1.0
5 0 0 0.0