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PACKET vector DEFINES VECTOR, :=, vector, (* Autor : H.Indenbirken *)
SUB, LENGTH, length, norm, (* Stand : 21.10.83 *)
nilvector, replace, =, <>,
+, -, *, /,
get, put :
LET n = 4000;
TYPE VECTOR = STRUCT (INT lng, TEXT elem);
TYPE INITVECTOR = STRUCT (INT lng, REAL value);
INT VAR i;
TEXT VAR t :: "12345678";
VECTOR VAR v :: nilvector;
(****************************************************************************
PROC dump (VECTOR CONST v) :
put line (text (v.lng) + " Elemente :");
FOR i FROM 1 UPTO v.lng
REP put line (text (i) + ": " + text (element i)) PER .
element i :
v.elem RSUB i .
END PROC dump;
****************************************************************************)
OP := (VECTOR VAR l, VECTOR CONST r) :
l.lng := r.lng;
l.elem := r.elem
END OP :=;
OP := (VECTOR VAR l, INITVECTOR CONST r) :
l.lng := r.lng;
replace (t, 1, r.value);
l.elem := r.lng * t
END OP :=;
INITVECTOR PROC nilvector :
vector (1, 0.0)
END PROC nilvector;
INITVECTOR PROC vector (INT CONST lng, REAL CONST value) :
IF lng <= 0
THEN errorstop ("PROC vector : lng <= 0") FI;
INITVECTOR : (lng, value)
END PROC vector;
INITVECTOR PROC vector (INT CONST lng) :
vector (lng, 0.0)
END PROC vector;
REAL OP SUB (VECTOR CONST v, INT CONST i) :
test ("REAL OP SUB : ", v, i);
v.elem RSUB i
END OP SUB;
INT OP LENGTH (VECTOR CONST v) :
v.lng
END OP LENGTH;
INT PROC length (VECTOR CONST v) :
v.lng
END PROC length;
REAL PROC norm (VECTOR CONST v) :
REAL VAR result :: 0.0;
FOR i FROM 1 UPTO v.lng
REP result INCR ((v.elem RSUB i)**2) PER;
sqrt (result) .
END PROC norm;
PROC replace (VECTOR VAR v, INT CONST i, REAL CONST r) :
test ("PROC replace : ", v, i);
replace (v.elem, i, r)
END PROC replace;
BOOL OP = (VECTOR CONST l, r) :
l.elem = r.elem
END OP =;
BOOL OP <> (VECTOR CONST l, r) :
l.elem <> r.elem
END OP <>;
VECTOR OP + (VECTOR CONST v) :
v
END OP +;
VECTOR OP + (VECTOR CONST l, r) :
test ("VECTOR OP + : ", l, r);
v := l;
FOR i FROM 1 UPTO v.lng
REP replace (v.elem, i, (l.elem RSUB i) + (r.elem RSUB i)) PER;
v
END OP +;
VECTOR OP - (VECTOR CONST a) :
v := a;
FOR i FROM 1 UPTO v.lng
REP replace (v.elem, i, - (a.elem RSUB i)) PER;
v
END OP -;
VECTOR OP - (VECTOR CONST l, r) :
test ("VECTOR OP - : ", l, r);
v := l;
FOR i FROM 1 UPTO v.lng
REP replace (v.elem, i, (l.elem RSUB i) - (r.elem RSUB i)) PER;
v
END OP -;
REAL OP * (VECTOR CONST l, r) :
test ("REAL OP * : ", l, r);
REAL VAR x :: 0.0;
FOR i FROM 1 UPTO l.lng
REP x INCR ((l.elem RSUB i) * (r.elem RSUB i)) PER;
x
END OP *;
VECTOR OP * (VECTOR CONST v, REAL CONST r) :
r*v
END OP *;
VECTOR OP * (REAL CONST r, VECTOR CONST a) :
v := a;
FOR i FROM 1 UPTO v.lng
REP replace (v.elem, i, r*(a.elem RSUB i)) PER;
v
END OP *;
VECTOR OP / (VECTOR CONST a, REAL CONST r) :
v := a;
FOR i FROM 1 UPTO v.lng
REP replace (v.elem, i, (a.elem RSUB i)/r) PER;
v
END OP /;
TEXT VAR error :: "";
PROC test (TEXT CONST proc, VECTOR CONST v, INT CONST i) :
IF i > v.lng
THEN error := proc;
error CAT "subscript overflow (LENGTH v=";
error CAT text (v.lng);
error CAT ", i=";
error CAT text (i);
error CAT ")";
errorstop (error)
ELIF i < 1
THEN error := proc;
error CAT "subscript underflow (i = ";
error CAT text (i);
error CAT ")";
errorstop (error)
FI .
END PROC test;
PROC test (TEXT CONST proc, VECTOR CONST a, b) :
IF a.lng <> b.lng
THEN error := proc;
error CAT "LENGTH a (";
IF a.lng <= 0
THEN error CAT "undefined"
ELSE error CAT text (a.lng) FI;
error CAT ") <> LENGTH b (";
error CAT text (b.lng);
error CAT ")";
errorstop (error)
FI
END PROC test;
PROC get (VECTOR VAR v, INT CONST lng) :
v.lng := lng;
v.elem := lng * "12345678";
REAL VAR x;
FOR i FROM 1 UPTO lng
REP get (x);
replace (v.elem, i, x)
PER .
END PROC get;
PROC put (VECTOR CONST v, INT CONST length, fracs) :
FOR i FROM 1 UPTO v.lng
REP put (text (v.elem RSUB i, length, fracs)) PER
END PROC put;
PROC put (VECTOR CONST v) :
FOR i FROM 1 UPTO v.lng
REP put (text (v.elem RSUB i)) PER
END PROC put;
END PACKET vector;
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