[9] | 1 | (*
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| 2 | (c) copyright 1988 by the Vrije Universiteit, Amsterdam, The Netherlands.
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| 3 | See the copyright notice in the ACK home directory, in the file "Copyright".
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| 4 | *)
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| 5 |
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| 6 | (*$R-*)
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| 7 | IMPLEMENTATION MODULE RealConversions;
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| 8 | (*
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| 9 | Module: string-to-real and real-to-string conversions
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| 10 | Author: Ceriel J.H. Jacobs
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| 11 | Version: $Header: /cvsup/minix/src/lib/ack/libm2/RealConver.mod,v 1.1 2005/10/10 15:27:46 beng Exp $
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| 12 | *)
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| 13 |
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| 14 |
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| 15 | PROCEDURE RealToString(arg: REAL;
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| 16 | width, digits: INTEGER;
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| 17 | VAR str: ARRAY OF CHAR;
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| 18 | VAR ok: BOOLEAN);
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| 19 | BEGIN
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| 20 | LongRealToString(LONG(arg), width, digits, str, ok);
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| 21 | END RealToString;
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| 22 |
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| 23 | TYPE
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| 24 | Powers = RECORD
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| 25 | pval: LONGREAL;
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| 26 | rpval: LONGREAL;
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| 27 | exp: INTEGER
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| 28 | END;
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| 29 |
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| 30 | VAR Powers10: ARRAY[1..6] OF Powers;
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| 31 |
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| 32 | PROCEDURE LongRealToString(arg: LONGREAL;
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| 33 | width, digits: INTEGER;
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| 34 | VAR str: ARRAY OF CHAR;
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| 35 | VAR ok: BOOLEAN);
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| 36 | VAR pointpos: INTEGER;
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| 37 | i: CARDINAL;
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| 38 | ecvtflag: BOOLEAN;
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| 39 | r: LONGREAL;
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| 40 | ind1, ind2 : CARDINAL;
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| 41 | sign: BOOLEAN;
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| 42 | ndigits: CARDINAL;
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| 43 |
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| 44 | BEGIN
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| 45 | r := arg;
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| 46 | IF digits < 0 THEN
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| 47 | ecvtflag := TRUE;
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| 48 | ndigits := -digits;
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| 49 | ELSE
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| 50 | ecvtflag := FALSE;
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| 51 | ndigits := digits;
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| 52 | END;
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| 53 | IF (HIGH(str) < ndigits + 3) THEN
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| 54 | str[0] := 0C; ok := FALSE; RETURN
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| 55 | END;
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| 56 | pointpos := 0;
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| 57 | sign := r < 0.0D;
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| 58 | IF sign THEN r := -r END;
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| 59 | ok := TRUE;
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| 60 | IF NOT (r / 10.0D < r) THEN
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| 61 | (* assume Nan or Infinity *)
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| 62 | r := 0.0D;
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| 63 | ok := FALSE;
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| 64 | END;
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| 65 | IF r # 0.0D THEN
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| 66 | IF r >= 10.0D THEN
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| 67 | FOR i := 1 TO 6 DO
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| 68 | WITH Powers10[i] DO
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| 69 | WHILE r >= pval DO
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| 70 | r := r * rpval;
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| 71 | INC(pointpos, exp)
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| 72 | END;
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| 73 | END;
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| 74 | END;
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| 75 | END;
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| 76 | IF r < 1.0D THEN
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| 77 | FOR i := 1 TO 6 DO
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| 78 | WITH Powers10[i] DO
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| 79 | WHILE r*pval < 10.0D DO
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| 80 | r := r * pval;
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| 81 | DEC(pointpos, exp)
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| 82 | END;
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| 83 | END;
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| 84 | END;
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| 85 | END;
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| 86 | (* Now, we have r in [1.0, 10.0) *)
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| 87 | INC(pointpos);
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| 88 | END;
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| 89 | ind1 := 0;
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| 90 | ind2 := ndigits+1;
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| 91 |
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| 92 | IF NOT ecvtflag THEN
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| 93 | IF INTEGER(ind2) + pointpos <= 0 THEN
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| 94 | ind2 := 1;
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| 95 | ELSE
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| 96 | ind2 := INTEGER(ind2) + pointpos
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| 97 | END;
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| 98 | END;
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| 99 | IF ind2 > HIGH(str) THEN
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| 100 | ok := FALSE;
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| 101 | str[0] := 0C;
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| 102 | RETURN;
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| 103 | END;
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| 104 | WHILE ind1 < ind2 DO
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| 105 | str[ind1] := CHR(TRUNC(r)+ORD('0'));
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| 106 | r := 10.0D * (r - FLOATD(TRUNC(r)));
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| 107 | INC(ind1);
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| 108 | END;
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| 109 | IF ind2 > 0 THEN
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| 110 | DEC(ind2);
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| 111 | ind1 := ind2;
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| 112 | str[ind2] := CHR(ORD(str[ind2])+5);
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| 113 | WHILE str[ind2] > '9' DO
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| 114 | str[ind2] := '0';
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| 115 | IF ind2 > 0 THEN
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| 116 | DEC(ind2);
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| 117 | str[ind2] := CHR(ORD(str[ind2])+1);
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| 118 | ELSE
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| 119 | str[ind2] := '1';
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| 120 | INC(pointpos);
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| 121 | IF NOT ecvtflag THEN
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| 122 | IF ind1 > 0 THEN str[ind1] := '0'; END;
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| 123 | INC(ind1);
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| 124 | END;
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| 125 | END;
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| 126 | END;
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| 127 | IF (NOT ecvtflag) AND (ind1 = 0) THEN
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| 128 | str[0] := CHR(ORD(str[0])-5);
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| 129 | INC(ind1);
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| 130 | END;
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| 131 | END;
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| 132 | IF ecvtflag THEN
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| 133 | FOR i := ind1 TO 2 BY -1 DO
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| 134 | str[i] := str[i-1];
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| 135 | END;
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| 136 | str[1] := '.';
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| 137 | INC(ind1);
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| 138 | IF sign THEN
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| 139 | FOR i := ind1 TO 1 BY -1 DO
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| 140 | str[i] := str[i-1];
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| 141 | END;
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| 142 | INC(ind1);
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| 143 | str[0] := '-';
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| 144 | END;
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| 145 | IF (ind1 + 4) > HIGH(str) THEN
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| 146 | str[0] := 0C;
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| 147 | ok := FALSE;
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| 148 | RETURN;
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| 149 | END;
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| 150 | str[ind1] := 'E'; INC(ind1);
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| 151 | IF arg # 0.0D THEN DEC(pointpos); END;
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| 152 | IF pointpos < 0 THEN
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| 153 | pointpos := -pointpos;
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| 154 | str[ind1] := '-';
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| 155 | ELSE
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| 156 | str[ind1] := '+';
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| 157 | END;
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| 158 | INC(ind1);
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| 159 | str[ind1] := CHR(ORD('0') + CARDINAL(pointpos DIV 100));
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| 160 | pointpos := pointpos MOD 100;
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| 161 | INC(ind1);
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| 162 | str[ind1] := CHR(ORD('0') + CARDINAL(pointpos DIV 10));
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| 163 | INC(ind1);
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| 164 | str[ind1] := CHR(ORD('0') + CARDINAL(pointpos MOD 10));
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| 165 | ELSE
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| 166 | IF pointpos <= 0 THEN
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| 167 | FOR i := ind1 TO 1 BY -1 DO
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| 168 | str[i+CARDINAL(-pointpos)] := str[i-1];
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| 169 | END;
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| 170 | FOR i := 0 TO CARDINAL(-pointpos) DO
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| 171 | str[i] := '0';
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| 172 | END;
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| 173 | ind1 := ind1 + CARDINAL(1 - pointpos);
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| 174 | pointpos := 1;
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| 175 | END;
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| 176 | FOR i := ind1 TO CARDINAL(pointpos+1) BY -1 DO
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| 177 | str[i] := str[i-1];
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| 178 | END;
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| 179 | IF ndigits = 0 THEN
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| 180 | str[pointpos] := 0C;
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| 181 | ind1 := pointpos - 1;
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| 182 | ELSE
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| 183 | str[pointpos] := '.';
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| 184 | IF INTEGER(ind1) > pointpos+INTEGER(ndigits) THEN
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| 185 | ind1 := pointpos+INTEGER(ndigits);
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| 186 | END;
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| 187 | str[pointpos+INTEGER(ndigits)+1] := 0C;
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| 188 | END;
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| 189 | IF sign THEN
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| 190 | FOR i := ind1 TO 0 BY -1 DO
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| 191 | str[i+1] := str[i];
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| 192 | END;
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| 193 | str[0] := '-';
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| 194 | INC(ind1);
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| 195 | END;
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| 196 | END;
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| 197 | IF (ind1+1) <= HIGH(str) THEN str[ind1+1] := 0C; END;
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| 198 | IF ind1 >= CARDINAL(width) THEN
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| 199 | ok := FALSE;
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| 200 | RETURN;
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| 201 | END;
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| 202 | IF width > 0 THEN
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| 203 | DEC(width);
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| 204 | END;
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| 205 | IF (width > 0) AND (ind1 < CARDINAL(width)) THEN
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| 206 | FOR i := ind1 TO 0 BY -1 DO
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| 207 | str[i + CARDINAL(width) - ind1] := str[i];
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| 208 | END;
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| 209 | FOR i := 0 TO CARDINAL(width)-(ind1+1) DO
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| 210 | str[i] := ' ';
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| 211 | END;
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| 212 | ind1 := CARDINAL(width);
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| 213 | IF (ind1+1) <= HIGH(str) THEN
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| 214 | FOR ind1 := ind1+1 TO HIGH(str) DO
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| 215 | str[ind1] := 0C;
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| 216 | END;
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| 217 | END;
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| 218 | END;
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| 219 |
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| 220 | END LongRealToString;
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| 221 |
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| 222 |
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| 223 | PROCEDURE StringToReal(str: ARRAY OF CHAR;
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| 224 | VAR r: REAL; VAR ok: BOOLEAN);
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| 225 | VAR x: LONGREAL;
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| 226 | BEGIN
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| 227 | StringToLongReal(str, x, ok);
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| 228 | IF ok THEN
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| 229 | r := x;
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| 230 | END;
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| 231 | END StringToReal;
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| 232 |
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| 233 | PROCEDURE StringToLongReal(str: ARRAY OF CHAR;
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| 234 | VAR r: LONGREAL; VAR ok: BOOLEAN);
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| 235 | CONST BIG = 1.0D17;
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| 236 | TYPE SETOFCHAR = SET OF CHAR;
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| 237 | VAR pow10 : INTEGER;
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| 238 | i : INTEGER;
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| 239 | e : LONGREAL;
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| 240 | ch : CHAR;
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| 241 | signed: BOOLEAN;
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| 242 | signedexp: BOOLEAN;
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| 243 | iB: CARDINAL;
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| 244 |
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| 245 | BEGIN
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| 246 | r := 0.0D;
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| 247 | pow10 := 0;
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| 248 | iB := 0;
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| 249 | ok := TRUE;
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| 250 | signed := FALSE;
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| 251 | WHILE (str[iB] = ' ') OR (str[iB] = CHR(9)) DO
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| 252 | INC(iB);
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| 253 | IF iB > HIGH(str) THEN
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| 254 | ok := FALSE;
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| 255 | RETURN;
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| 256 | END;
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| 257 | END;
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| 258 | IF str[iB] = '-' THEN signed := TRUE; INC(iB)
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| 259 | ELSIF str[iB] = '+' THEN INC(iB)
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| 260 | END;
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| 261 | ch := str[iB]; INC(iB);
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| 262 | IF NOT (ch IN SETOFCHAR{'0'..'9'}) THEN ok := FALSE; RETURN END;
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| 263 | REPEAT
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| 264 | IF r>BIG THEN INC(pow10) ELSE r:= 10.0D*r+FLOATD(ORD(ch)-ORD('0')) END;
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| 265 | IF iB <= HIGH(str) THEN
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| 266 | ch := str[iB]; INC(iB);
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| 267 | END;
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| 268 | UNTIL (iB > HIGH(str)) OR NOT (ch IN SETOFCHAR{'0'..'9'});
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| 269 | IF (ch = '.') AND (iB <= HIGH(str)) THEN
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| 270 | ch := str[iB]; INC(iB);
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| 271 | IF NOT (ch IN SETOFCHAR{'0'..'9'}) THEN ok := FALSE; RETURN END;
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| 272 | REPEAT
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| 273 | IF r < BIG THEN
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| 274 | r := 10.0D * r + FLOATD(ORD(ch)-ORD('0'));
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| 275 | DEC(pow10);
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| 276 | END;
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| 277 | IF iB <= HIGH(str) THEN
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| 278 | ch := str[iB]; INC(iB);
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| 279 | END;
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| 280 | UNTIL (iB > HIGH(str)) OR NOT (ch IN SETOFCHAR{'0'..'9'});
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| 281 | END;
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| 282 | IF (ch = 'E') THEN
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| 283 | IF iB > HIGH(str) THEN
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| 284 | ok := FALSE;
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| 285 | RETURN;
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| 286 | ELSE
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| 287 | ch := str[iB]; INC(iB);
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| 288 | END;
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| 289 | i := 0;
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| 290 | signedexp := FALSE;
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| 291 | IF (ch = '-') OR (ch = '+') THEN
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| 292 | signedexp := ch = '-';
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| 293 | IF iB > HIGH(str) THEN
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| 294 | ok := FALSE;
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| 295 | RETURN;
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| 296 | ELSE
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| 297 | ch := str[iB]; INC(iB);
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| 298 | END;
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| 299 | END;
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| 300 | IF NOT (ch IN SETOFCHAR{'0'..'9'}) THEN ok := FALSE; RETURN END;
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| 301 | REPEAT
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| 302 | i := i*10 + INTEGER(ORD(ch) - ORD('0'));
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| 303 | IF iB <= HIGH(str) THEN
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| 304 | ch := str[iB]; INC(iB);
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| 305 | END;
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| 306 | UNTIL (iB > HIGH(str)) OR NOT (ch IN SETOFCHAR{'0'..'9'});
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| 307 | IF signedexp THEN i := -i END;
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| 308 | pow10 := pow10 + i;
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| 309 | END;
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| 310 | IF pow10 < 0 THEN i := -pow10; ELSE i := pow10; END;
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| 311 | e := 1.0D;
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| 312 | DEC(i);
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| 313 | WHILE i >= 10 DO
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| 314 | e := e * 10000000000.0D;
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| 315 | DEC(i,10);
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| 316 | END;
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| 317 | WHILE i >= 0 DO
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| 318 | e := e * 10.0D;
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| 319 | DEC(i)
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| 320 | END;
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| 321 | IF pow10<0 THEN
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| 322 | r := r / e;
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| 323 | ELSE
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| 324 | r := r * e;
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| 325 | END;
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| 326 | IF signed THEN r := -r; END;
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| 327 | IF (iB <= HIGH(str)) AND (ORD(ch) > ORD(' ')) THEN ok := FALSE; END
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| 328 | END StringToLongReal;
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| 329 |
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| 330 | BEGIN
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| 331 | WITH Powers10[1] DO pval := 1.0D32; rpval := 1.0D-32; exp := 32 END;
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| 332 | WITH Powers10[2] DO pval := 1.0D16; rpval := 1.0D-16; exp := 16 END;
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| 333 | WITH Powers10[3] DO pval := 1.0D8; rpval := 1.0D-8; exp := 8 END;
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| 334 | WITH Powers10[4] DO pval := 1.0D4; rpval := 1.0D-4; exp := 4 END;
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| 335 | WITH Powers10[5] DO pval := 1.0D2; rpval := 1.0D-2; exp := 2 END;
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| 336 | WITH Powers10[6] DO pval := 1.0D1; rpval := 1.0D-1; exp := 1 END;
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| 337 | END RealConversions.
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