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PDP-10 Archives
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decuslib10-02
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43,50145/pdiv.ssp
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C PDIV 10
C ..................................................................PDIV 20
C PDIV 30
C SUBROUTINE PDIV PDIV 40
C PDIV 50
C PURPOSE PDIV 60
C DIVIDE ONE POLYNOMIAL BY ANOTHER PDIV 70
C PDIV 80
C USAGE PDIV 90
C CALL PDIV(P,IDIMP,X,IDIMX,Y,IDIMY,TOL,IER) PDIV 100
C PDIV 110
C DESCRIPTION OF PARAMETERS PDIV 120
C P - RESULTANT VECTOR OF INTEGRAL PART PDIV 130
C IDIMP - DIMENSION OF P PDIV 140
C X - VECTOR OF COEFFICIENTS FOR DIVIDEND POLYNOMIAL, PDIV 150
C ORDERED FROM SMALLEST TO LARGEST POWER. IT IS PDIV 160
C REPLACED BY REMAINDER AFTER DIVISION. PDIV 170
C IDIMX - DIMENSION OF X PDIV 180
C Y - VECTOR OF COEFFICIENTS FOR DIVISOR POLYNOMIAL, PDIV 190
C ORDERED FROM SMALLEST TO LARGEST POWER PDIV 200
C IDIMY - DIMENSION OF Y PDIV 210
C TOL - TOLERANCE VALUE BELOW WHICH COEFFICIENTS ARE PDIV 220
C ELIMINATED DURING NORMALIZATION PDIV 230
C IER - ERROR CODE. 0 IS NORMAL, 1 IS FOR ZERO DIVISOR PDIV 240
C PDIV 250
C REMARKS PDIV 260
C THE REMAINDER R REPLACES X. PDIV 270
C THE DIVISOR Y REMAINS UNCHANGED. PDIV 280
C IF DIMENSION OF Y EXCEEDS DIMENSION OF X, IDIMP IS SET TO PDIV 290
C ZERO AND CALCULATION IS BYPASSED PDIV 300
C PDIV 310
C SUBROUTINES AND FUNCTION SUBPROGRAMS REQUIRED PDIV 320
C PNORM PDIV 330
C PDIV 340
C METHOD PDIV 350
C POLYNOMIAL X IS DIVIDED BY POLYNOMIAL Y GIVING INTEGER PART PDIV 360
C P AND REMAINDER R SUCH THAT X = P*Y + R. PDIV 370
C DIVISOR Y AND REMAINDER VECTOR GET NORMALIZED. PDIV 380
C PDIV 390
C ..................................................................PDIV 400
C PDIV 410
SUBROUTINE PDIV(P,IDIMP,X,IDIMX,Y,IDIMY,TOL,IER) PDIV 420
DIMENSION P(1),X(1),Y(1) PDIV 430
C PDIV 440
CALL PNORM (Y,IDIMY,TOL) PDIV 450
IF(IDIMY) 50,50,10 PDIV 460
10 IDIMP=IDIMX-IDIMY+1 PDIV 470
IF(IDIMP) 20,30,60 PDIV 480
C PDIV 490
C DEGREE OF DIVISOR WAS GREATER THAN DEGREE OF DIVIDEND PDIV 500
C PDIV 510
20 IDIMP=0 PDIV 520
30 IER=0 PDIV 530
40 RETURN PDIV 540
C PDIV 550
C Y IS ZERO POLYNOMIAL PDIV 560
C PDIV 570
50 IER=1 PDIV 580
GO TO 40 PDIV 590
C PDIV 600
C START REDUCTION PDIV 610
C PDIV 620
60 IDIMX=IDIMY-1 PDIV 630
I=IDIMP PDIV 640
70 II=I+IDIMX PDIV 650
P(I)=X(II)/Y(IDIMY) PDIV 660
C PDIV 670
C SUBTRACT MULTIPLE OF DIVISOR PDIV 680
C PDIV 690
DO 80 K=1,IDIMX PDIV 700
J=K-1+I PDIV 710
X(J)=X(J)-P(I)*Y(K) PDIV 720
80 CONTINUE PDIV 730
I=I-1 PDIV 740
IF(I) 90,90,70 PDIV 750
C PDIV 760
C NORMALIZE REMAINDER POLYNOMIAL PDIV 770
C PDIV 780
90 CALL PNORM(X,IDIMX,TOL) PDIV 790
GO TO 30 PDIV 800
END PDIV 810