Topspeed_JPI/TS-V3/REP16/NUMBERS.LST

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    1  IMPLEMENTATION MODULE Numbers;
    2  (*
    3   *  REPERTOIRE
    4   *  Release 1.6
    5   *  By Charles Bradford and Cole Brecheen
    6   *  (c) Copyright 1985-1992 PMI
    7   *  Green Bay, Wisconsin
    8   *  All rights reserved
    9   *  (414) 468-6040
   10   *
   11   *  $Header:   D:/logfiles/mods/numbers.mov   1.5   10 Mar 1991 15:31:10   coleb  $
   12   *
   13   *)
   14  
   15  
   16  IMPORT NumTypes;
   17  
   18  VAR
   19    Initialized : BOOLEAN;
   20  
   21    PROCEDURE Init();
   22      BEGIN
   23        IF Initialized THEN
   24          RETURN;
   25        ELSE
   26          Initialized := TRUE;
   27        END;
   28        NumTypes.Init();
*****        ^ not supported yet
*****                 ^ not supported yet
*****                      ^ not supported yet
   29      END Init;
*****          ^ not supported yet
   30  
   31  TYPE
   32    LongConverter =
   33      RECORD
   34        CASE : BOOLEAN OF
*****        ^ not supported yet
*****                       ^ 'POINTER' expected
   35          TRUE: long: LONGINT;
   36        | FALSE: locard, hicard: CARDINAL;
   37        END;
   38      END;
   39  
   40  
   41    PROCEDURE Between(min, x, max : CARDINAL) : CARDINAL;
   42      BEGIN
   43        IF min > max THEN
   44          max := min;
   45        END;
   46        IF x > max THEN
   47          RETURN max;
   48        ELSIF x < min THEN
   49          RETURN min;
   50        ELSE
   51          RETURN x;
   52        END;
   53      END Between;
   54  
   55  
   56    PROCEDURE C( num: LONGINT ): CARDINAL;
   57      BEGIN
   58        RETURN VAL( CARDINAL, num );
   59      END C;
   60  
   61    PROCEDURE I( num: LONGINT ): INTEGER;
   62      BEGIN
   63        RETURN VAL( INTEGER, num );
   64      END I;
   65  
   66    PROCEDURE CardIsBetween(min, x, max: CARDINAL): BOOLEAN;
   67      BEGIN
   68        RETURN (x >= min) AND (x <= max);
   69      END CardIsBetween;
   70  
   71    PROCEDURE CardSqrt( n: CARDINAL ): CARDINAL;
   72      VAR a2,b2,ab,t: CARDINAL;
   73      BEGIN
   74        a2 := 0;
   75        ab :=0;
   76        b2 := 1;
   77        WHILE b2 <= n DO
   78          b2 := 4*b2
   79        END;
   80        WHILE b2 # 1 DO
   81          ab := ab DIV 2;
   82          b2 := b2 DIV 4;
   83          t := a2 + 2*ab + b2;
   84          IF t <= n THEN
   85            a2 := t;
   86            ab := ab+b2;
   87          END
   88        END;
   89        RETURN ab;
   90      END CardSqrt;
   91  
   92  
   93    PROCEDURE IntIsBetween(min, x, max: INTEGER): BOOLEAN;
   94      BEGIN
   95        RETURN (x >= min) AND (x <= max);
   96      END IntIsBetween;
   97  
   98  
   99    PROCEDURE IntMin(first, second : INTEGER) : INTEGER;
  100      BEGIN
  101        IF first<second THEN
  102          RETURN (first);
  103        ELSE
  104          RETURN (second);
  105        END;
  106      END IntMin;
  107  
  108    PROCEDURE IntMax(first, second : INTEGER) : INTEGER;
  109      BEGIN
  110        IF first>second THEN
  111          RETURN (first);
  112        ELSE
  113          RETURN (second);
  114        END;
  115      END IntMax;
  116  
  117  
  118    PROCEDURE Lc( num: CARDINAL ): LONGINT;
  119      BEGIN
  120        RETURN VAL( LONGINT, num );
  121      END Lc;
  122  
  123    PROCEDURE Li( num: INTEGER ): LONGINT;
  124      BEGIN
  125        RETURN VAL( LONGINT, num );
  126      END Li;
  127  
  128    PROCEDURE LowestCommonDenom(n1, n2 : INTEGER) : INTEGER;
  129      BEGIN
  130        n1 := ABS(n1);
  131        n2 := ABS(n2);
  132        WHILE n1#n2 DO
  133          IF n1 > n2 THEN
  134            n1 := n1-n2;
  135          ELSE
  136            n2 := n2-n1;
  137          END;
  138        END;
  139        RETURN n1;
  140      END LowestCommonDenom;
  141  
  142  
  143    PROCEDURE Min(first, second : CARDINAL) : CARDINAL;
  144      BEGIN
  145        IF first<second THEN
  146          RETURN (first);
  147        ELSE
  148          RETURN (second);
  149        END;
  150      END Min;
  151  
  152    PROCEDURE Max(first, second : CARDINAL) : CARDINAL;
  153      BEGIN
  154        IF first>second THEN
  155          RETURN (first);
  156        ELSE
  157          RETURN (second);
  158        END;
  159      END Max;
  160  
  161    PROCEDURE Power(x, n : CARDINAL) : CARDINAL;
  162        (*Returns x raised to the nth power.*)
  163      VAR
  164        w, z, i : CARDINAL;
  165      BEGIN
  166        w := x;
  167        i := n;
  168        z := 1;
  169        WHILE i<>0 DO
  170          IF ODD(i) THEN
  171            z := z*w;
  172          END;
  173          i := i DIV 2;
  174          IF i<>0 THEN
  175            w := w*w;
  176          END;
  177        END;
  178        RETURN (z);
  179      END Power;
  180  
  181  
  182  
  183  (*These two procedures look stupid, but the compilers are
  184    inconsistent about whether you can use VAL, TRUNC, and FLOAT to
  185    convert between reals, integers and longints.  This conversion method
  186    works with all M2 compilers.*)
  187  
  188    PROCEDURE R8ToL( x: NumTypes.Real8 ): LONGINT;
  189      BEGIN
  190        IF x <= 65535.0 THEN
  191          RETURN Lc( TRUNC(x) );
  192        ELSE
  193          RETURN Lc(TRUNC(x / 65535.0)) * NumTypes.L65535;
  194        END
  195      END R8ToL;
  196  
  197    PROCEDURE LToR8( TheLong: LONGINT ): NumTypes.Real8;
  198      VAR
  199        tmpreal: REAL;
  200        tmpr8: NumTypes.Real8;
  201      BEGIN
  202        IF TheLong <= NumTypes.L65535 THEN
  203          tmpreal := FLOAT( C(TheLong) );
  204        ELSE
  205          TheLong := TheLong DIV NumTypes.L65535;
  206          tmpreal := FLOAT( C(TheLong) ) * 65535.0;
  207        END;
  208        tmpr8 := NumTypes.REALToReal8(tmpreal);
  209        RETURN tmpr8;
  210      END LToR8;
  211  
  212    PROCEDURE R8ToInt( x: NumTypes.Real8 ): INTEGER;
  213      BEGIN
  214        (*Let the RTS worry about errors here.*)
  215        RETURN TRUNC(x);
  216      END R8ToInt;
  217  
  218    PROCEDURE IntToR8( TheInt: INTEGER ): NumTypes.Real8;
  219      VAR
  220        tmpreal: REAL;
  221        tmpr8: NumTypes.Real8;
  222      BEGIN
  223        tmpreal := FLOAT( TheInt );
  224        tmpr8 := NumTypes.REALToReal8(tmpreal);
  225        RETURN tmpr8;
  226      END IntToR8;
  227  
  228  
  229  BEGIN
  230    Initialized := FALSE;
  231    Init();
  232  END Numbers.

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