RosettaCodeData/Task/Average-loop-length/Simula/average-loop-length.simula

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BEGIN
REAL PROCEDURE FACTORIAL(N); INTEGER N;
BEGIN
REAL RESULT;
INTEGER I;
RESULT := 1.0;
FOR I := 2 STEP 1 UNTIL N DO
RESULT := RESULT * I;
FACTORIAL := RESULT;
END FACTORIAL;
REAL PROCEDURE ANALYTICAL (N); INTEGER N;
BEGIN
REAL SUM, RN;
INTEGER I;
RN := N;
FOR I := 1 STEP 1 UNTIL N DO
BEGIN
SUM := SUM + FACTORIAL(N) / FACTORIAL(N - I) / RN ** I;
END;
ANALYTICAL := SUM;
END ANALYTICAL;
REAL PROCEDURE EXPERIMENTAL(N); INTEGER N;
BEGIN
INTEGER NUM;
INTEGER COUNT;
INTEGER RUN;
FOR RUN := 1 STEP 1 UNTIL TESTS DO
BEGIN
BOOLEAN ARRAY BITS(1:N);
INTEGER I;
FOR I := 1 STEP 1 UNTIL N DO
BEGIN
NUM := RANDINT(1,N,SEED);
IF BITS(NUM) THEN GOTO L;
BITS(NUM) := TRUE;
COUNT := COUNT + 1;
END FOR I;
L:
END FOR RUN;
EXPERIMENTAL := COUNT / TESTS;
END EXPERIMENTAL;
INTEGER SEED, TESTS;
SEED := ININT;
TESTS := 1000000;
BEGIN
REAL A, E, ERR;
INTEGER I;
OUTTEXT(" N AVG CALC %DIFF"); OUTIMAGE;
FOR I := 1 STEP 1 UNTIL 20 DO
BEGIN
A := ANALYTICAL(I);
E := EXPERIMENTAL(I);
ERR := (ABS(E-A)/A)*100.0;
OUTINT(I, 2);
OUTFIX(E, 4, 7);
OUTFIX(A, 4, 10);
OUTFIX(ERR, 4, 10);
OUTIMAGE;
END FOR I;
END;
END