basic/BASIC.Runtime

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(***************************************************************************)
(*                                                                         *)
(*           Erste von drei Dateien des EUMEL-BASIC-Systems                *)
(*                                                                         *)
(*           Autor: Heiko Indenbirken                                      *)
(*           Überarbeitet von: Rudolf Ruland und Michael Overdick          *)
(*                                                                         *)
(*           Stand: 27.10.1987                                             *)
(*                                                                         *)
(***************************************************************************)

PACKET basic std DEFINES EQU, UEQ,            (* Autor: Heiko Indenbirken *)
                         LES, LEQ,            (* Stand: 23.10.1987/rr/mo  *)
                         GRE, GEQ,
                         EQV, IMP,
                         ^, swap,
                         val, asc, cdbl, chr,
                         cint, cvi, cvd, fre,
                         hex, inchars,
                         instr, ent, left,
                         mid, mki, mkd,
                         oct, right,
                         rnd, init rnd,
                         space, string,  
                         l set, r set,
                         int not, real not,
                         /, DIV, real mod,
                         time, timer,
                         arctan, cos, sin, tan,
                         exp, ln, floor,
                         sqrt:


INT CONST true := -1,
          false := 0;

LET real overflow = 6;


(*BASIC-Integervergleiche                                                *)
INT OP EQU (INT CONST a, b):
  IF a=b
  THEN true
  ELSE false FI
END OP EQU;

INT OP UEQ (INT CONST a, b):
  IF a=b
  THEN false
  ELSE true FI
END OP UEQ;

INT OP LES (INT CONST a, b):
  IF a<b
  THEN true
  ELSE false FI
END OP LES;

INT OP LEQ (INT CONST a, b):
  IF a<=b
  THEN true
  ELSE false FI
END OP LEQ;

INT OP GRE (INT CONST a, b):
  IF a>b
  THEN true
  ELSE false FI
END OP GRE;

INT OP GEQ (INT CONST a, b):
  IF a>=b
  THEN true
  ELSE false FI
END OP GEQ;

(*BASIC-Realvergleiche                                                   *)
INT OP EQU (REAL CONST a, b):
  IF a=b
  THEN true
  ELSE false FI
END OP EQU;

INT OP UEQ (REAL CONST a, b):
  IF a=b
  THEN false
  ELSE true FI
END OP UEQ;

INT OP LES (REAL CONST a, b):
  IF a<b
  THEN true
  ELSE false FI
END OP LES;

INT OP LEQ (REAL CONST a, b):
  IF a<=b
  THEN true
  ELSE false FI
END OP LEQ;

INT OP GRE (REAL CONST a, b):
  IF a>b
  THEN true
  ELSE false FI
END OP GRE;

INT OP GEQ (REAL CONST a, b):
  IF a>=b
  THEN true
  ELSE false FI
END OP GEQ;

(*BASIC-Tesxtvergleiche                                                  *)
INT OP EQU (TEXT CONST a, b):
  IF a=b
  THEN true
  ELSE false FI
END OP EQU;

INT OP UEQ (TEXT CONST a, b):
  IF a=b
  THEN false
  ELSE true FI
END OP UEQ;

INT OP LES (TEXT CONST a, b):
  IF a<b
  THEN true
  ELSE false FI
END OP LES;

INT OP LEQ (TEXT CONST a, b):
  IF a<=b
  THEN true
  ELSE false FI
END OP LEQ;

INT OP GRE (TEXT CONST a, b):
  IF a>b
  THEN true
  ELSE false FI
END OP GRE;

INT OP GEQ (TEXT CONST a, b):
  IF a>=b
  THEN true
  ELSE false FI
END OP GEQ;


(*BASIC         INTEGER / BOOL Operatoren                                *)
REAL PROC real not (REAL CONST a):          (* mo *)
  real (int (a) XOR -1)
END PROC real not;

INT PROC int not (INT CONST a):             (* mo *)
  a XOR -1
END PROC int not;

INT OP EQV (INT CONST l, r):
  int not (l XOR r)
END OP EQV;

INT OP IMP (INT CONST l, r):
  (l EQV r) OR r
END OP IMP;

LET smallest significant = 5.0e-12;
REAL OP ^ (REAL CONST x, y):                                  (* F22/rr *)
  IF   x > 0.0
       THEN x ** y
  ELIF x = 0.0
       THEN IF   y > 0.0
                 THEN 0.0
            ELIF y = 0.0
                 THEN 1.0
                 ELSE errorstop (real overflow, "");
                      max real
            FI
       ELSE REAL VAR floor y := floor (y + round value);            
            IF   (abs (y - floor y) > smallest significant)
                      COR (floor y = 0.0 AND y <> 0.0)
                 THEN errorstop (1005, "bei " + text (x) +
                                        " ^ " + text (y, 19) +
                                        " : neg. Basis, gebr. Exponent");
                      0.0
            ELIF (floor y MOD 2.0) = 0.0
                 THEN     (-x) ** floor y
                 ELSE - ( (-x) ** floor y )
            FI
  FI .

  round value : IF y >= 0.0 THEN 0.5 ELSE -0.5 FI .

END OP ^;

REAL OP ^ (INT CONST x, y):
  real (x) ** y
END OP ^;

REAL OP / (INT CONST l, r):                 (* mo *)
  real (l) / real (r)
END OP /;

INT OP DIV (REAL CONST l, r):               (* mo *)
  cint (l) DIV cint (r)
END OP DIV;

REAL PROC real mod (REAL CONST l, r):       (* mo *)
  round (l, 0) MOD round (r, 0)
END PROC real mod;

(*                            Basic Arithmetik                           *)
REAL VAR r swap;
PROC swap (REAL VAR left, right):
  r swap := left;
  left := right;
  right := r swap
END PROC swap;

INT VAR i swap;
PROC swap (INT VAR left, right):
  i swap := left;
  left := right;
  right := i swap
END PROC swap;

TEXT VAR t swap;
PROC swap (TEXT VAR left, right):
  t swap := left;
  left := right;
  right := t swap
END PROC swap;

(*Internkonvertierungen                                                  *)
INT PROC cvi (TEXT CONST v):
  v ISUB 1
END PROC cvi;

REAL PROC cvd (TEXT CONST v):
  v RSUB 1
END PROC cvd;

TEXT VAR i text :: 2*""0"", r text :: 8*""0"";
TEXT PROC mki (REAL CONST x):
  mki (cint (x))
END PROC mki;

TEXT PROC mki (INT CONST i):
  replace (i text, 1, i);
  i text
END PROC mki;

TEXT PROC mkd (INT CONST i):
  mkd (real (i))
END PROC mkd;

TEXT PROC mkd (REAL CONST r):
  replace (r text, 1, r);
  r text
END PROC mkd;

(*Textoperationen                                                        *)
PROC l set (TEXT VAR left, TEXT CONST right):
  replace (left, 1, right)
END PROC l set;

PROC r set (TEXT VAR left, TEXT CONST right):
  replace (left, length (left)-length (right)+1, right)
END PROC r set;

TEXT PROC left (TEXT CONST string, REAL CONST no):
  left (string, cint (no))
END PROC left;

TEXT PROC left (TEXT CONST string, INT CONST no):
  subtext (string, 1, no)
END PROC left;

TEXT PROC right (TEXT CONST string, REAL CONST no):
  right (string, cint (no))
END PROC right;

TEXT PROC right (TEXT CONST string, INT CONST no):
  subtext (string, length (string)-no+1)
END PROC right;

TEXT PROC mid (TEXT CONST source, REAL CONST from):
  mid (source, cint (from))
END PROC mid;

TEXT PROC mid (TEXT CONST source, INT CONST from):
  subtext (source, from)
END PROC mid;

TEXT PROC mid (TEXT CONST source, REAL CONST from, length):
  mid (source, cint (from), cint (length))
END PROC mid;

TEXT PROC mid (TEXT CONST source, INT CONST from, length):
  subtext (source, from, from+length-1)
END PROC mid;

TEXT PROC string (REAL CONST x, y):
  string (cint (x), cint (y))
END PROC string;

TEXT PROC string (INT CONST x, REAL CONST y):
  string (x, cint (y))
END PROC string;

TEXT PROC string (REAL CONST x, INT CONST y):
  string (cint (x), y)
END PROC string;

TEXT PROC string (INT CONST i, j):
  i * code (j)
END PROC string;

TEXT PROC string (REAL CONST i, TEXT CONST x):
  string (cint (i), x)
END PROC string;

TEXT PROC string (INT CONST i, TEXT CONST x):
  i * (x SUB 1)
END PROC string;

(*Konvertierungen                                                       *)

REAL PROC val (TEXT CONST text) :                               (* F18/rr *)

  TEXT VAR buffer := text;
  change (buffer, "d", "e");
  change (buffer, "D", "e");
  change (buffer, "E", "e");
  real (buffer)

END PROC val;

REAL PROC asc (TEXT CONST text):
  real (code (text SUB 1))
END PROC asc;

TEXT PROC chr (INT CONST n):
  code (n)
END PROC chr;

TEXT PROC chr (REAL CONST n):
  code (cint (n))
END PROC chr;

TEXT PROC hex (REAL CONST x):
  hex (cint (x))
END PROC hex;

TEXT PROC hex (INT CONST x):
  TEXT VAR value :: "12";
  replace (value, 1, x);
  high byte + low byte  .

low byte:
  hexdigit (code (value SUB 1) DIV 16) + hexdigit (code (value SUB 1) MOD 16)  .

high byte:
  IF (value SUB 2) = ""0""
  THEN ""
  ELSE hexdigit (code (value SUB 2) DIV 16) +
       hexdigit (code (value SUB 2) MOD 16) 
  FI  .

END PROC hex;

TEXT PROC oct (REAL CONST x):
  oct (cint (x))
END PROC oct;

TEXT PROC oct (INT CONST x):
  INT VAR number :: x AND maxint;
  generate oct number;
  IF x < 0
    THEN "1" + oct number
    ELSE subtext (oct number, pos (oct number, "1", "7", 1))
  FI.

generate oct number:
  TEXT VAR oct number :: "";
  INT VAR digit;
  FOR digit FROM 1 UPTO 5 REP
    oct number := hexdigit (number MOD 8) + oct number;
    number := number DIV 8
  PER.

END PROC oct;

TEXT PROC hexdigit (INT CONST digit):
  IF 0 <= digit AND digit <= 9
  THEN code (digit + 48)
  ELIF 10 <= digit AND digit <= 15
  THEN code (digit + 55)
  ELSE errorstop (1051, "Hexziffer außerhalb des gültigen Bereichs"); "" FI
END PROC hexdigit;

TEXT PROC inchars (REAL CONST n):
  inchars (cint (n))
END PROC inchars;

TEXT PROC inchars (INT CONST n):
  TEXT VAR buffer :: "", char;
  INT VAR i;
  FOR i FROM 1 UPTO n
  REP inchar (char);
      buffer CAT char
  PER;
  buffer

END PROC inchars;

(*Mathematische Prozeduren                                               *)
REAL PROC ent (INT CONST r):
  real (r)
END PROC ent;

REAL PROC ent (REAL CONST r):
  IF r >= 0.0 OR frac (r) = 0.0
  THEN floor (r)
  ELSE floor (r-1.0) FI
END PROC ent;

REAL PROC cdbl (INT CONST r):
  real (r)
END PROC cdbl;

REAL PROC cdbl (REAL CONST r):
  r
END PROC cdbl;

INT PROC cint (INT CONST r):
  r
END PROC cint;

INT PROC cint (REAL CONST r):
  IF r >= 0.0
  THEN int (r+0.5)
  ELSE int (r-0.5) FI
END PROC cint;

REAL VAR last rnd :: rnd (1.0);
REAL PROC rnd (INT CONST x):
  rnd (real (x))
END PROC rnd;

REAL PROC rnd (REAL CONST x):
  IF x > 0.0
  THEN last rnd := random;
       last rnd
  ELIF x = 0.0
  THEN last rnd
  ELSE init rnd (x);
       last rnd := random;
       last rnd
  FI

END PROC rnd;

REAL PROC rnd:
  rnd (1.0)
END PROC rnd;

PROC init rnd (REAL CONST init value) :

  REAL VAR init := init value;
  IF init <= -1.0 OR 1.0 <= init
     THEN set exp (- decimal exponent (init) - 1, init) FI; 
  initialize random (init) 

END PROC init rnd;


REAL PROC fre (TEXT CONST dummy):
  INT VAR f, u;
  collect heap garbage;
  storage (f, u);

  real (f - u) * 1024.0
END PROC fre;

REAL PROC fre (REAL CONST dummy):
  fre ("")
END PROC fre;

REAL PROC fre (INT CONST dummy):
  fre ("")
END PROC fre;

(*Inputroutinenen                                                        *)
INT PROC instr (TEXT CONST source, pattern):
  pos (source, pattern)
END PROC instr;

INT PROC instr (REAL CONST from, TEXT CONST source, pattern):
  instr (cint (from), source, pattern)
END PROC instr;

INT PROC instr (INT CONST from, TEXT CONST source, pattern):
  pos (source, pattern, from)
END PROC instr;

TEXT PROC space (REAL CONST len):
  space (cint (len))
END PROC space;

TEXT PROC space (INT CONST len):
  len * " "
END PROC space;

TEXT PROC time:                                        (* mo *)
  subtext (time (clock (1) MOD day), 1, 8)          (* hh:mm:ss *)
END PROC time;

REAL PROC timer:
  clock (0)
END PROC timer;

REAL PROC arctan (INT CONST x):
  arctan (real (x))
END PROC arctan;

REAL PROC cos (INT CONST x):
  cos (real (x))
END PROC cos;

REAL PROC sin (INT CONST x):
  sin (real (x))
END PROC sin;

REAL PROC tan (INT CONST x):
  tan (real (x))
END PROC tan;

REAL PROC exp (INT CONST x):
  exp (real (x))
END PROC exp;

REAL PROC ln (INT CONST x):
  ln (real (x))
END PROC ln;

REAL PROC floor (INT CONST x):
  real (x)
END PROC floor;

REAL PROC sqrt (INT CONST x):
  sqrt (real (x))
END PROC sqrt;

END PACKET basic std;

PACKET basic using DEFINES using,             (* Autor: Heiko Indenbirken *)
                           clear using,       (* Stand: 05.08.1987/rr/mo  *)
                           basic text:


LET exclamation point = "!",
    backslash         = "\",
    comercial and     = "&",
    numbersign        = "#",
    plus              = "+",
    minus             = "-",
    asterisk dollar   = "**$",
    asterisk          = "**",
    dollarsign        = "$$",
    comma             = ",",
    point             = ".",
    caret             = "^^^^",
    underscore        = "_",
    blank             = " ",
    nil               = "",

    number format chars = "#+-*$.^",
    format chars        = "!\&#+-$*.";

TEXT VAR result, using format :: "", pre format :: "";
INT VAR using pos :: 0;
BOOL VAR image used :: FALSE;

PROC using (TEXT CONST format):
  using format := format;
  using pos := 0;
  result := "";
  image used := TRUE

END PROC using;

PROC clear using:
  using format := "";
  image used := FALSE
END PROC clear using;

TEXT PROC next format:
  pre format := "";
  IF using pos = 0
  THEN ""
  ELSE search rest of format FI  .

search rest of format:
  WHILE using pos <= length (using format)
  REP IF at underscore
      THEN using pos INCR 1;
           pre format CAT akt char
      ELIF at format char
      THEN LEAVE next format WITH pre format
      ELSE pre format CAT akt char FI;
      using pos INCR 1
  PER;
  using pos := 0;
  pre format  .
 
at underscore:
  akt char = underscore  .

at format char:
  pos (format chars, akt char) > 0 CAND
  evtl double asterisk CAND
  evtl point with numbersign  .

evtl double asterisk:
  akt char <> asterisk COR next char = asterisk  .

evtl point with numbersign:
  akt char <> point COR next char = numbersign  .

akt char: using format SUB using pos  .
next char: using format SUB using pos+1  .
END PROC next format;

PROC init (TEXT VAR l result):
  IF using pos = 0
  THEN using pos := 1;
       l result := next format;
       IF using pos = 0
       THEN errorstop (1005, "USING: kein Format gefunden") FI
  ELSE l result := "" FI

END PROC init;

TEXT PROC basic text (TEXT CONST string):
  IF image used
  THEN using text
  ELSE string FI  .

using text:
  init (result);
  result CAT format string;
  using pos INCR 1;
  result CAT next format;
  result  .

format string:
  IF akt char = exclamation point
  THEN string SUB 1
  ELIF akt char = backslash
  THEN given length string
  ELIF akt char = comercial and
  THEN string
  ELSE errorstop (1005, "USING-Format fehlerhaft: " + using format); ""  FI  .

given length string:
  INT VAR len :: 2;
  FOR using pos FROM using pos+1 UPTO length (using format)
  REP IF akt char = "\"
      THEN LEAVE given length string WITH text (string, len) FI;
      len INCR 1
  UNTIL akt char <> " "PER;
  errorstop (1005, "USING-Format fehlerhaft: " + using format);
  ""  .

akt char: using format SUB using pos
END PROC basic text;
 
TEXT PROC basic text (INT CONST number):
  IF image used
  THEN basic text (real (number))
  ELSE sign + text (number) FI  .

sign:
  IF number >= 0
  THEN " "
  ELSE "" FI  .

END PROC basic text;

TEXT PROC basic text (REAL CONST number):
  IF image used
  THEN using text
  ELSE normal text FI  .

normal text:
(*   Bei Real Zahlen werden maximal 7 signifikante Stellen ausgegeben,   *)
(*          führende und nachfolgende Nullen werden unterdrückt,         *)
(*           der Dezimalpunkt wird im Normalformat unterdrückt           *)
  calculate sign;
  REAL VAR mantissa := round (abs (number), 6-decimal exponent (number));
  INT CONST exp :: decimal exponent (mantissa);

  IF mantissa = 0.0
  THEN result := " 0"
  ELIF exp > 6 OR exp < -7 OR (exp < 0 AND more than 7 signifikant digits)
  THEN scientific notation
  ELIF exp < 0
  THEN short negative notation
  ELSE short positive notation FI;
  result  .

more than 7 signifikant digits:
   REAL VAR signifikant := mantissa;
   set exp (7+exp, signifikant);
   frac (signifikant) <> 0.0  .

calculate sign:
  IF number >= 0.0
  THEN result := " "
  ELSE result := "-" FI  .

scientific notation:
  set exp (0, mantissa);
  result CAT non zero (text (mantissa, 8, 6));

  IF exp < 0
  THEN result CAT "E-"
  ELSE result CAT "E+" FI;

  IF abs (exp) > 9
  THEN result CAT text (abs (exp))
  ELSE result CAT "0";
       result CAT text (abs (exp))
  FI  .

short positive notation:
  result CAT non zero (text (mantissa, 8, 6-exp));
  IF (result SUB LENGTH result) = "."
  THEN delete char (result, LENGTH result) FI  .

short negative notation:
  result CAT non zero (subtext (text (abs (mantissa), 9, 7), 2)).(* F13/rr *)

using text:
  init (result);
  result CAT format number (subformat, number);
  result CAT next format;
  result  .

subformat:
  INT VAR from :: using pos, to :: last format char;
  subtext (using format, from, to)  .

last format char:
  FOR using pos FROM using pos+1 UPTO length (using format)
  REP IF non format char
      THEN LEAVE last format char WITH using pos-1 FI
  PER;
  using pos := 0;
  length (using format)  .

non format char:
  IF (using format SUB using pos) = comma
  THEN (using format SUB (using pos+1)) <> point
  ELSE pos (numberformat chars, using format SUB using pos) = 0  FI  .

END PROC basic text;

TEXT PROC non zero (TEXT CONST text):
  INT VAR i;
  FOR i FROM length (text) DOWNTO 2
  REP UNTIL (text SUB i) <> "0" PER;
  subtext (text, 1, i)
END PROC non zero;

TEXT PROC format number (TEXT CONST format, REAL CONST number):
  IF no digit char
  THEN errorstop (1005, "USING-Format fehlerhaft: " + using format);  ""
  ELIF exponent found
  THEN exponent format
  ELSE normal format FI  .

no digit char:
  pos (format, numbersign) = 0 AND
  pos (format, asterisk) = 0 AND
  pos (format, dollarsign) = 0  .

exponent found:
  INT CONST exponent pos := pos (format, caret);
  exponent pos > 0  .

exponent format:
  IF leading plus
  THEN plus or minus + exponent field (subtext (format, 2), number, exponent pos-1) 
  ELIF trailing plus
  THEN exponent field (format, number, exponent pos) + plus or minus 
  ELIF trailing minus
  THEN exponent field (format, number, exponent pos) + nil or minus 
  ELSE blank or minus + exponent field (subtext (format, 2), number, exponent pos-1) FI  .

normal format:
  IF leading numbersign
  THEN number field (format, number, "", " ")
  ELIF leading point
  THEN number field (format, number, "", " ")
  ELIF leading plus 
  THEN number field (format, abs (number), plus or minus, " ")
  ELIF leading asterisk dollar
  THEN number field (format, number, "$", "*")
  ELIF leading asterisk 
  THEN number field (format, number, "", "*")
  ELIF leading dollarsign
  THEN number field (format, number, "$", " ")
  ELSE errorstop (1005, "USING-Format fehlerhaft: " + using format); "" FI  . 
 
leading numbersign:      (format SUB 1) = numbersign  .
leading point:           (format SUB 1) = point  .
leading plus:            (format SUB 1) = plus  .
leading asterisk dollar: subtext (format, 1, 3) = asterisk dollar  .
leading asterisk:        subtext (format, 1, 2) = asterisk  .
leading dollarsign:      subtext (format, 1, 2) = dollarsign  .

trailing minus: (format SUB LENGTH format) = minus   .
trailing plus:  (format SUB LENGTH format) = plus  .

plus or minus:  IF number < 0.0 THEN minus ELSE plus FI  .
nil or minus:   IF number < 0.0 THEN minus ELSE nil FI  .
blank or minus: IF number < 0.0 THEN minus ELSE blank FI .

END PROC format number;

TEXT PROC exponent field (TEXT CONST format, REAL CONST value, INT CONST exponent pos):
  REAL VAR number := abs (value);
  INT CONST point pos := pos (format, point);
  calc leading and trailing;
  INT CONST new exponent :: decimal exponent (value) - leading + 1;
  IF abs (new exponent) >= 100
    THEN "%" + mantissa + "E" + null text (new exponent, 4)
    ELSE mantissa + exponent
  FI.

calc leading and trailing:
  INT VAR leading, trailing;
  IF point pos = 0
  THEN leading := exponent pos-1;
       trailing := 0
  ELSE leading := point pos-1;
       trailing := exponent pos-point pos-1
  FI  .

mantissa:
  set exp (leading - 1, number);
  IF point pos = 0
  THEN subtext (text (number, leading+1, 0), 1, leading)
  ELSE subtext (text (number, leading+trailing+2, trailing), 2) FI  .

exponent:
  "E" + null text (new exponent, 3)  .

END PROC exponent field;

TEXT PROC number field (TEXT CONST format, REAL CONST value,
                        TEXT CONST pretext, lead char):
  INT CONST point pos :: pos (format, point);
  calc fraction;
  calc digits;
  calc commata if necessary;
  fill with lead chars and sign  .

calc fraction:
  INT VAR fraction :: 0, i;
  FOR i FROM point pos+1 UPTO length (format)
  WHILE (format SUB i) = numbersign
  REP fraction INCR 1 PER  .

calc digits:
  TEXT VAR valuetext;
  IF point pos = 0
  THEN valuetext := digits (abs (value), 0, TRUE);
       delete char (valuetext, length (valuetext))
  ELSE valuetext := digits (abs (value), fraction, point pos <> 1) FI  .

calc commata if necessary:
  IF comma before point
  THEN insert commata FI  .

comma before point:
  point pos > 0 CAND (format SUB point pos-1) = comma   .

insert commata:
  i := pos (valuetext, point)-3;
  WHILE i > 1 CAND (valuetext SUB i) <> " "
  REP insert char (valuetext, ",", i);
      i DECR 3
  PER  .

fill with lead chars and sign:
  IF trailing minus
  THEN fillby (pretext + valuetext, length (format)-1, lead char) + nil or minus
  ELIF trailing plus
  THEN fillby (pretext + valuetext, length (format)-1, lead char) + plus or minus
  ELIF value < 0.0
  THEN fillby (pretext + minus + valuetext, length (format), lead char)
  ELSE fillby (pretext + valuetext, length (format), lead char) FI  .


plus or minus:  IF value < 0.0 THEN minus ELSE plus FI  .
nil or minus:   IF value < 0.0 THEN minus ELSE nil FI  .
trailing minus: (format SUB LENGTH format) = minus   .
trailing plus:  (format SUB LENGTH format) = plus  .
END PROC numberfield;

TEXT PROC null text (INT CONST n, digits):
  TEXT VAR l result := text (abs (n), digits);
  IF n < 0
  THEN replace (l result, 1, "-")
  ELSE replace (l result, 1, "+") FI;
  change all (l result, " ", "0");
  l result  .
END PROC null text;

TEXT PROC fillby (TEXT CONST source, INT CONST format, TEXT CONST with):
  IF differenz >= 0
  THEN differenz * with + source
  ELSE "%" + source FI  .

differenz:  format - length (source)  .
END PROC fillby;

TEXT PROC digits (REAL CONST value, INT CONST frac, BOOL CONST null):
  IF decimal exponent (value) < 0
  THEN TEXT VAR l result := text (value, frac+2, frac);

       IF null AND first char <> "0"
       THEN replace (l result, 1, "0");
            l result
       ELIF (NOT null AND first char = "0") OR first char = " "
       THEN subtext (l result, 2)
       ELSE l result FI
  ELSE text (value, decimal exponent (value)+frac+2, frac) FI  .

first char:
  (l result SUB 1)  .

END PROC digits;

TEXT PROC right (TEXT CONST msg, INT CONST len):
  IF length (msg) >= len
  THEN subtext (msg, 1, len)
  ELSE (len - length (msg)) * " " + msg FI

END PROC right;

END PACKET basic using;

PACKET basic output                          (* Autor: R. Ruland        *)
                                             (* Stand: 28.08.1987/rr/mo *)
       DEFINES basic page,
               width,           
               init output,     
               basic out,
               basic write,
               tab,
               next zone,
               next line,
               next page,
               cursor x pos,
               pos,
               csrlin,
               l pos,
               switch to printout file,
               switch back to old sysout state:

LET zone width = 16;  (*  sd.ddddddEsdddb  (s = sign, d = digit, b = blank) *)
LET printfile name = "BASIC LPRINT OUTPUT";

INT VAR screen width, x cursor, y cursor, line no;
BOOL VAR paging := FALSE, first time,
         in lprint;     (* mo *)
TEXT VAR buffer, output line, last sysout file, old sysout, char;

PROC basic page (BOOL CONST status):

  paging := status

END PROC basic page;

BOOL PROC basic page:  paging  END PROC basic page;


PROC width (INT CONST max):

  IF   max < 0
       THEN errorstop (1005, "WIDTH: negatives Angabe: " + text (max))
  ELIF max = 0
       THEN screen width := 1
       ELSE screen width := max
  FI;
  last sysout file := "";

END PROC width;

INT PROC width :  screen width  END PROC width;


PROC init output:

  clear using;
  width (max (1, x size));
  line no      := 1;
  output line  := "";
  first time   := TRUE;
  in lprint := FALSE

END PROC init output;


PROC basic out (INT  CONST i):   bas out (basic text (i) + " ")  END PROC basic out;
 
PROC basic out (REAL CONST r):   bas out (basic text (r) + " ")  END PROC basic out;
 
PROC basic out (TEXT CONST t):   bas out (basic text (t))        END PROC basic out;

PROC basic write (INT  CONST i): bas out (basic text (i))  END PROC basic write;

PROC basic write (REAL CONST r): bas out (basic text (r))  END PROC basic write;

PROC basic write (TEXT CONST t): bas out (basic text ("""" + t + """"))  END PROC basic write;

 
PROC bas out (TEXT CONST msg):

  get cursor;
  IF length (msg) > free
     THEN IF first time
             THEN first time := FALSE;
                  next line;
                  bas out (msg);
             ELSE buffer := subtext (msg, 1, free);
                  IF sysout = ""
                    THEN out (buffer)
                    ELSE sysout write (buffer)
                  FI;
                  next line;
                  buffer := subtext (msg, free + 1);
                  bas out (buffer);
          FI;
     ELSE first time := TRUE;
          IF sysout = ""
            THEN out (msg)
            ELSE sysout write (msg)
          FI;
  FI;

  . free : screen width - x cursor + 1

END PROC bas out;


PROC tab (INT CONST n):

  get cursor;
  IF   n <= 0
       THEN tab position out of range
  ELIF n > screen width
       THEN tab (n MOD screen width);
  ELIF x cursor > n
       THEN next line;
            tab (n);
  ELIF sysout = ""
       THEN cursor (n, y cursor);
       ELSE buffer := (n - x cursor) * " ";
            sysout write (buffer)
  FI;

  . tab position out of range :
      IF x cursor <> 1 THEN next line FI;
      write ("WARNUNG : TAB-Position <= 0");
      next line;

END PROC tab;


PROC next zone:

  get cursor;
  IF   x cursor > screen width - zone width
       THEN next line;
  ELIF sysout = ""
       THEN free TIMESOUT " ";
       ELSE buffer := free * " ";
            sysout write (buffer)
  FI;

  . free : ((x cursor - 1) DIV zone width + 1) * zone width - x cursor + 1

END PROC next zone;


PROC next line :

  IF sysout = ""
     THEN next line on screen
     ELSE line;
          write ("");              (* generates new record *)
          output line := "";
  FI;

  . next line on screen:
      line no INCR 1;
      IF paging CAND line no > y size
        THEN IF in last line
               THEN warte;
               ELSE out (""13""10"");
                    line no := y cursor + 1;
             FI;
      ELIF NOT paging
        THEN char := incharety;
             IF char <> ""
               THEN IF char = "+"
                      THEN paging := TRUE
                      ELSE type (char)
                    FI
             FI;
             out (""13""10"")
        ELSE out (""13""10"")
      FI

  . in last line :
      get cursor;
      y cursor = y size

  . warte :
      cursor (x size - 2, y size);
      out (">>");
      inchar (char);
      IF   char = ""13""
           THEN next page
      ELIF char = ""10""
           THEN out (""8""8"  "13""10"") 
      ELIF char = ""27""
           THEN clear editor buffer;
                errorstop (1, "")
      ELIF char = "-"
           THEN out (""8""8"  "13""10"");
                line no := 1;
                paging  := FALSE;
           ELSE out (""8""8"  "13""10"");
                line no := 1;
      FI;

      . clear editor buffer:
          REP UNTIL get charety = "" PER;

END PROC next line;


PROC next page:

  IF sysout = ""
    THEN out (""1""4"")
    ELSE line
  FI;
  clear using;
  line no     := 1;
  output line := "";

END PROC next page;


INT PROC pos (REAL CONST dummy):           (* mo *)

  cursor x pos

END PROC pos;


INT PROC pos (INT CONST dummy):            (* mo *)

  cursor x pos

END PROC pos;


INT PROC cursor x pos :

  get cursor;
  x cursor

END PROC cursor x pos;


INT PROC csrlin:                              (* mo *)

  get cursor;
  y cursor

END PROC csrlin;


PROC get cursor :

  IF sysout = ""
     THEN get cursor (x cursor, y cursor);
     ELSE x cursor := LENGTH output line + 1;
  FI;

END PROC get cursor;


INT PROC l pos (REAL CONST dummy):                   (* mo *)

  l pos (0)

END PROC l pos;


INT PROC l pos (INT CONST dummy):                    (* mo *)

  INT VAR lprint position :: 1;
  IF exists (printfile name)
    THEN disable stop;
         FILE VAR printfile :: sequential file (modify, printfile name);
         IF lines (printfile) > 0
           THEN to line (printfile, lines (printfile));
                lprint position := len (printfile) + 1
         FI;
         output (printfile)
  FI;
  lprint position

END PROC l pos;


PROC switch to printout file:                       (* mo *)

  in lprint := TRUE;
  old sysout := sysout;
  careful sysout (printfile name);

END PROC switch to printout file;


PROC switch back to old sysout state:               (* mo *)

  IF in lprint
    THEN careful sysout (old sysout);
         in lprint := FALSE
  FI

END PROC switch back to old sysout state;


PROC sysout write (TEXT CONST string):
  check sysout;
  write (string);
  output line CAT string.

check sysout:
  IF sysout <> last sysout file
    THEN careful sysout (sysout)
  FI.

END PROC sysout write;


PROC careful sysout (TEXT CONST new sysout):                  (* mo *)

IF new sysout <> ""
  THEN disable stop;
       FILE VAR outfile :: sequential file (modify, new sysout);
       max line length (outfile, screen width);
       last sysout file := sysout;
       IF lines (outfile) > 0
         THEN to line (outfile, lines (outfile));
              read record (outfile, output line);
              delete record (outfile)
         ELSE output line := ""
       FI;
       sysout (new sysout);
       write (output line);
  ELSE sysout ("")
FI

END PROC careful sysout;

END PACKET basic output;


PACKET basic input                              (* Autor: R. Ruland        *)
                                                (* Stand: 27.10.1987/rr/mo *)

       DEFINES init input,
               read input,       
               check input,
               assign input,
               assign input line,
               input ok,
               input eof:            


LET comma             = ",",
    quote             = """",

    wrong type        = 1,
    insufficient data = 2,
    too much data     = 3,
    overflow          = 4,

    int overflow      = 4,
    real overflow     = 6;

INT VAR input line pos, input error no;
BOOL VAR on terminal;
TEXT VAR input line :: "", previous input line := "", input value;

. first quote found : (input value SUB 1) = quote
.;

PROC init input :

  input error no      := 0;
  input line pos      := 0;
  input line          := "";
  previous input line := "";

END PROC init input;


PROC read input (BOOL CONST cr lf, TEXT CONST msg, BOOL CONST question mark):

  on terminal := sysout <> "" AND sysin = "";
  check input error;
  out string (msg);
  IF question mark THEN out string ("? ") FI;
  IF sysin <> ""
     THEN getline (input line);
     ELSE editget input line;
  FI;
  out string (input line);
  IF crlf THEN out line FI;
  input line pos := 0;
  input error no := 0;

  . check input error :
      IF input error no = 0
         THEN input line := "";
         ELSE IF sysin = ""
                 THEN BOOL CONST old basic page := basic page;
                      basic page (FALSE);
                      IF cursor x pos <> 1 THEN next line FI;
                      basic out ("?Eingabe wiederholen ! (" + error text + ")");
                      next line;
                      basic page (old basic page);
                 ELSE errorstop (1080,"INPUT-Fehler (" + error text +
                                               ") : >" + input line + "<");
              FI;
       FI;

       . error text :
           SELECT input error no OF
             CASE wrong type        : "falscher Typ"
             CASE insufficient data : "zu wenig Daten"
             CASE too much data     : "zu viele Daten"
             CASE overflow          : "Überlauf"
                          OTHERWISE : ""
           END SELECT

  . editget input line :
      TEXT VAR exit char;
      INT VAR x, y;
      get cursor (x, y);
      REP IF width - x < 1
            THEN out (""13""10"");
                 get cursor (x, y)
          FI;
          editget (input line, max text length, width - x, "", "k", exit char);
          cursor (x, y);
          IF exit char = ""27"k"
             THEN input line := previous input line;
             ELSE previous input line := input line;
                  LEAVE editget input line;
          FI;
      PER;
      
END PROC read input;


PROC out string (TEXT CONST string) :

  basic out (string);
  IF on terminal THEN out (string) FI;

END PROC out string;


PROC out line :

  next line;
  IF on terminal THEN out (""13""10"") FI;

END PROC out line;


BOOL PROC check input (INT CONST type) :

  get next input value;
  input value := compress (input value);
  set conversion (TRUE);
  SELECT type OF
    CASE 1 : check int input
    CASE 2 : check real input
    CASE 3 : check text input
  END SELECT;
  IF NOT last conversion ok THEN input error no := wrong type FI;
  input error no = 0

  . check int input :
      IF input value <> ""
         THEN disable stop;
              INT VAR help int value;
              help int value := int (input value);
              IF is error CAND error code = int overflow
                 THEN clear error;
                      input error no := overflow;
              FI;
              enable stop;
      FI;

  . check real input :
      IF input value <> ""
         THEN disable stop;
              REAL VAR help real value;
              help real value := val (input value);
              IF is error CAND (error code = real overflow
                                OR error code = int overflow) (* <-- Aufgrund eines Fehlers in 'real' *)
                 THEN clear error;
                      input error no := overflow;
              FI;
              enable stop;
        FI;

  . check text input :
      (* IF input value = "" THEN input error no := wrong type FI; *)
      IF NOT is quoted string CAND quote found
         THEN input error no := wrong type
      FI; 

      . is quoted string :
          first quote found CAND last quote found

          . last quote found :
              (input value SUB LENGTH input value) = quote

      . quote found :
          pos (input value, quote) > 0

END PROC check input;


PROC assign input (INT VAR int value) :

  get next input value;
  int value := int (input value);

END PROC assign input;

PROC assign input (REAL VAR real value) :

  get next input value;
  real value := val (input value);

END PROC assign input;

PROC assign input (TEXT VAR string value) :

  get next input value;
  input value := compress (input value);
  IF first quote found
     THEN string value := subtext (input value, 2, LENGTH input value -1)
     ELSE string value := input value
  FI;

END PROC assign input;

PROC assign input line (TEXT VAR string line) :

  string line := input line;

END PROC assign input line;


PROC get next input value :                                  (* F27/rr *)

  IF input line pos > LENGTH input line 
     THEN input value    := "";
          input error no := insufficient data;
     ELSE IF next non blank char = quote
             THEN get quoted string
             ELSE get unquoted string
          FI;
  FI;

  . next non blank char :
      INT CONST next non blank char pos := pos (input line, ""33"", ""255"", input line pos + 1);
      input line SUB next non blank char pos

  . get quoted string :
      INT CONST quote pos := pos (input line, quote, next non blank char pos + 1);
      IF quote pos = 0
         THEN input value    := subtext (input line, next non blank char pos);
              input line pos := LENGTH input line + 1;
              input error no := wrong type;
         ELSE input value    := subtext (input line, next non blank char pos, quote pos);
              input line pos := pos (input line, ""33"", ""255"", quote pos + 1);
              IF   input line pos = 0
                   THEN input line pos := LENGTH input line + 1;
              ELIF (input line SUB input line pos) <> comma
                   THEN input error no := wrong type;
                        input line pos DECR 1;
              FI;
      FI;

  . get unquoted string :
      INT VAR comma pos := pos (input line, comma, input line pos + 1);
      IF comma pos = 0
         THEN input value    := subtext (input line, input line pos + 1);
              input line pos := LENGTH input line + 1;
         ELSE input value    := subtext (input line, input line pos + 1, comma pos - 1);
              input line pos := comma pos;
      FI;

END PROC get next input value;


BOOL PROC input ok:

  IF input line pos <= LENGTH input line
     THEN input error no := too much data FI;
  input line pos := 0;
  input error no = 0

END PROC input ok;

BOOL PROC input eof:  input line = ""  END PROC input eof;


END PACKET basic input; 

PACKET basic std using io                         (* Autor: R. Ruland      *)
                                                  (* Stand: 26.10.87/rr/mo *)

       DEFINES init rnd:


PROC init rnd:

  REAL VAR init;
  REP read input (TRUE, "Startwert des Zufallszahlengenerators ? ", FALSE);
  UNTIL check input (2) CAND input ok PER;                      (* F24/rr *)
  assign input (init);
  init rnd (init);

END PROC init rnd;


END PACKET basic std using io;