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lspmath.pas
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(*----------------------------------------------------------------------------*)
(* Author: Joachim Pimiskern, 1994-2004 *)
(*----------------------------------------------------------------------------*)
unit lspmath;
{$O+,F+,E+,N+}
interface
uses
lspglobl;
function LspPlus (p1, p2: pNode): pNode;
function LspMinus (p1, p2: pNode): pNode;
function LspTimes (p1, p2: pNode): pNode;
function LspDivided (p1, p2: pNode): pNode;
function LspEinsMinus (p: pNode) : pNode;
function LspEinsPlus (p: pNode) : pNode;
function LspExp (p: pNode) : pNode;
function LspLn (p: pNode) : pNode;
function LspSqr (p: pNode) : pNode;
function LspSqrt (p: pNode) : pNode;
function LspMathEqual (p1, p2: pNode): pNode;
function LspMathNotEqual (p1, p2: pNode): pNode;
function LspLess (p1, p2: pNode): pNode;
function LspGreater (p1, p2: pNode): pNode;
function LspGreaterOrEqual(p1, p2: pNode): pNode;
function LspLessOrEqual (p1, p2: pNode): pNode;
function LspRandomize : pNode;
function LspRandom (p: pNode) : pNode;
function LspGetIntegerVal(p: pNode): longint;
function LspGetFloatVal(p: pNode): double;
implementation
uses
lsppredi, lsperr, lspcreat;
function LspPlus(p1, p2: pNode): pNode;
var L1,L2: longint;
D1,D2: double;
B1,B2: boolean;
begin
result := nil;
if (not LspNumberp(p1)) then
raise ELispException.Create('ErrNumberExpected','First argument wrong');
if (not LspNumberp(p2)) then
raise ELispException.Create('ErrNumberExpected','Second argument wrong');
if (p1^.Typ = cLspInteger) then
begin
L1 := p1^.IntegerVal;
D1 := 0.0;
B1 := false;
end
else
begin
L1 := 0;
D1 := p1^.FloatVal;
B1 := true;
end;
if (p2^.Typ = cLspInteger) then
begin
L2 := p2^.IntegerVal;
D2 := 0.0;
B2 := false;
end
else
begin
L2 := 0;
D2 := p2^.FloatVal;
B2 := true;
end;
if (not B1 and not B2) then result := LspMakeInteger(L1 + L2)
else
if (not B1 and B2) then result := LspMakeFloat (L1 + D2)
else
if ( B1 and not B2) then result := LspMakeFloat (D1 + L2)
else
if ( B1 and B2) then result := LspMakeFloat (D1 + D2);
end;
function LspMinus(p1, p2: pNode): pNode;
var L1,L2: longint;
D1,D2: double;
B1,B2: boolean;
begin
result := nil;
if (not LspNumberp(p1)) then
raise ELispException.Create('ErrNumberExpected','First argument wrong');
if (not LspNumberp(p2)) then
raise ELispException.Create('ErrNumberExpected','Second argument wrong');
if (p1^.Typ = cLspInteger) then
begin
L1 := p1^.IntegerVal;
D1 := 0.0;
B1 := false;
end
else
begin
L1 := 0;
D1 := p1^.FloatVal;
B1 := true;
end;
if (p2^.Typ = cLspInteger) then
begin
L2 := p2^.IntegerVal;
D2 := 0.0;
B2 := false;
end
else
begin
L2 := 0;
D2 := p2^.FloatVal;
B2 := true;
end;
if (not B1 and not B2) then LspMinus := LspMakeInteger(L1 - L2)
else
if (not B1 and B2) then LspMinus := LspMakeFloat (L1 - D2)
else
if ( B1 and not B2) then LspMinus := LspMakeFloat (D1 - L2)
else
if ( B1 and B2) then LspMinus := LspMakeFloat (D1 - D2);
end;
function LspTimes(p1, p2: pNode): pNode;
var L1,L2: longint;
D1,D2: double;
B1,B2: boolean;
begin
result := nil;
if (not LspNumberp(p1)) then
raise ELispException.Create('ErrNumberExpected','First argument wrong');
if (not LspNumberp(p2)) then
raise ELispException.Create('ErrNumberExpected','Second argument wrong');
if (p1^.Typ = cLspInteger) then
begin
L1 := p1^.IntegerVal;
D1 := 0.0;
B1 := false;
end
else
begin
L1 := 0;
D1 := p1^.FloatVal;
B1 := true;
end;
if (p2^.Typ = cLspInteger) then
begin
L2 := p2^.IntegerVal;
D2 := 0.0;
B2 := false;
end
else
begin
L2 := 0;
D2 := p2^.FloatVal;
B2 := true;
end;
if (not B1 and not B2) then result := LspMakeInteger(L1 * L2)
else
if (not B1 and B2) then result := LspMakeFloat (L1 * D2)
else
if ( B1 and not B2) then result := LspMakeFloat (D1 * L2)
else
if ( B1 and B2) then result := LspMakeFloat (D1 * D2);
end;
function LspDivided(p1, p2: pNode): pNode;
var L1,L2: longint;
D1,D2: double;
B1,B2: boolean;
begin
result := nil;
if (not LspNumberp(p1)) then
raise ELispException.Create('ErrNumberExpected','First argument wrong');
if (not LspNumberp(p2)) then
raise ELispException.Create('ErrNumberExpected','Second argument wrong');
if (p1^.Typ = cLspInteger) then
begin
L1 := p1^.IntegerVal;
D1 := 0.0;
B1 := false;
end
else
begin
L1 := 0;
D1 := p1^.FloatVal;
B1 := true;
end;
if (p2^.Typ = cLspInteger) then
begin
L2 := p2^.IntegerVal;
D2 := 0.0;
B2 := false;
end
else
begin
L2 := 0;
D2 := p2^.FloatVal;
B2 := true;
end;
if (not B1 and not B2) then result := LspMakeInteger(L1 div L2)
else
if (not B1 and B2) then result := LspMakeFloat (L1 / D2)
else
if ( B1 and not B2) then result := LspMakeFloat (D1 / L2)
else
if ( B1 and B2) then result := LspMakeFloat (D1 / D2);
end;
function LspEinsPlus(p: pNode): pNode;
var L1: longint;
D1: double;
B1: boolean;
begin
if (not LspNumberp(p)) then
raise ELispException.Create('ErrNumberExpected','Argument wrong');
if (p^.Typ = cLspInteger) then
begin
L1 := p^.IntegerVal;
D1 := 0.0;
B1 := false;
end
else
begin
L1 := 0;
D1 := p^.FloatVal;
B1 := true;
end;
if (not B1) then
result := LspMakeInteger(L1 + 1)
else
result := LspMakeFloat(D1 + 1.0);
end;
function LspEinsMinus(p: pNode): pNode;
var L1: longint;
D1: double;
B1: boolean;
begin
if (not LspNumberp(p)) then
raise ELispException.Create('ErrNumberExpected','Argument wrong');
if (p^.Typ = cLspInteger) then
begin
L1 := p^.IntegerVal;
D1 := 0.0;
B1 := false;
end
else
begin
L1 := 0;
D1 := p^.FloatVal;
B1 := true;
end;
if (not B1) then
result := LspMakeInteger(L1 - 1)
else
result := LspMakeFloat(D1 - 1.0);
end;
(*----------------------------------------------------------------------------*)
(* Die Exponentialfunktion *)
(*----------------------------------------------------------------------------*)
function LspExp(p: pNode): pNode;
begin
if (not LspNumberp(p)) then
raise ELispException.Create('ErrNumberExpected','Argument wrong');
result := LspMakeFloat(exp(LspGetFloatVal(p)));
end;
(*----------------------------------------------------------------------------*)
(* Der Logarithmus zur Basis e *)
(*----------------------------------------------------------------------------*)
function LspLn(p: pNode): pNode;
begin
if (not LspNumberp(p)) then
raise ELispException.Create('ErrNumberExpected','Argument wrong');
result := LspMakeFloat(ln(LspGetFloatVal(p)));
end;
(*----------------------------------------------------------------------------*)
(* Das Quadrat einer Ziel *)
(*----------------------------------------------------------------------------*)
function LspSqr(p: pNode): pNode;
begin
if (not LspNumberp(p)) then
raise ELispException.Create('ErrNumberExpected','Argument wrong');
result := LspMakeFloat(sqr(LspGetFloatVal(p)));
end;
(*----------------------------------------------------------------------------*)
(* Die Quadratwurzel einer Ziel *)
(*----------------------------------------------------------------------------*)
function LspSqrt(p: pNode): pNode;
begin
if (not LspNumberp(p)) then
raise ELispException.Create('ErrNumberExpected','First argument wrong');
result := LspMakeFloat(sqrt(LspGetFloatVal(p)));
end;
(*----------------------------------------------------------------------------*)
(*----------------------------------------------------------------------------*)
(* Basis-Vergleichsfunktion. <,>,<=,>=,<> werden darauf zurueckgefuehrt. *)
(*----------------------------------------------------------------------------*)
function cmpNodes(p1, p2: pNode): integer;
begin
result := 0;
if (p1 = nil) then
raise ELispException.Create('ErrComparison','First argument must be non-nil');
if (p2 = nil) then
raise ELispException.Create('ErrComparison','Second argument must be non-nil');
if ((p1^.Typ = cLspInteger) and (p2^.Typ = cLspInteger)) then
begin
if (p1^.IntegerVal < p2^.IntegerVal) then
result := -1
else
if (p1^.IntegerVal > p2^.IntegerVal) then
result := 1;
end
else
if ((p1^.Typ = cLspFloat) and (p2^.Typ = cLspFloat)) then
begin
if (p1^.FloatVal < p2^.FloatVal) then
result := -1
else
if (p1^.FloatVal > p2^.FloatVal) then
result := 1;
end
else
if ((p1^.Typ = cLspInteger) and (p2^.Typ = cLspFloat)) then
begin
if (p1^.IntegerVal < p2^.FloatVal) then
result := -1
else
if (p1^.IntegerVal > p2^.FloatVal) then
result := 1;
end
else
if ((p1^.Typ = cLspFloat) and (p2^.Typ = cLspInteger)) then
begin
if (p1^.FloatVal < p2^.IntegerVal) then
result := -1
else
if (p1^.FloatVal > p2^.IntegerVal) then
result := 1;
end
else
if ((p1^.Typ = cLspString) and (p2^.Typ = cLspString)) then
begin
if (p1^.StringVal^ < p2^.StringVal^) then
result := -1
else
if (p1^.StringVal^ > p2^.StringVal^) then
result := 1;
end
else
raise ELispException.Create('ErrComparison','Arguments must be number or string');
end;
function LspMathEqual(p1, p2: pNode): pNode;
begin
result := BoolToNode(cmpNodes(p1,p2) = 0);
end;
function LspMathNotEqual(p1, p2: pNode): pNode;
begin
result := BoolToNode(cmpNodes(p1,p2) <> 0);
end;
function LspLess(p1, p2: pNode): pNode;
begin
result := BoolToNode(cmpNodes(p1,p2) < 0);
end;
function LspGreater(p1, p2: pNode): pNode;
begin
result := BoolToNode(cmpNodes(p1,p2) > 0);
end;
function LspGreaterOrEqual(p1, p2: pNode): pNode;
begin
result := BoolToNode(cmpNodes(p1,p2) >= 0);
end;
function LspLessOrEqual(p1, p2: pNode): pNode;
begin
result := BoolToNode(cmpNodes(p1,p2) <= 0);
end;
(*----------------------------------------------------------------------------*)
(* Zufallszahlengenerator initialisieren *)
(*----------------------------------------------------------------------------*)
function LspRandomize: pNode;
begin
result := nil;
randomize;
end;
(*----------------------------------------------------------------------------*)
(* Zufallszahl liefern. Argument ? Falls ja, dann Integerzahl zw. 0 und A - 1 *)
(* Falls kein Argument, dann Doublezahl zw. 0 und 1 liefern. *)
(*----------------------------------------------------------------------------*)
function LspRandom(p: pNode): pNode;
begin
if (p = nil) then
result := LspMakeFloat(random)
else
begin
if (p^.Typ = cLspInteger) then
result := LspMakeInteger(random(p^.IntegerVal))
else
if (p^.Typ = cLspFloat) then
result := LspMakeInteger(random(trunc(p^.FloatVal)))
else
raise ELispException.Create('ErrNumberExpected','Argument must be number');
end;
end;
(*----------------------------------------------------------------------------*)
(* Den Integerwert eines numerischen Knotens liefern. Falls Float, so wird *)
(* trunc davon zurueckgegeben *)
(*----------------------------------------------------------------------------*)
function LspGetIntegerVal(p: pNode): longint;
begin
result := 0;
if (not LspNumberp(p)) then
raise ELispException.Create('ErrNumberExpected','Argument wrong');
if (p^.Typ = cLspInteger) then
result := p^.IntegerVal
else
if (p^.Typ = cLspFloat) then
result := trunc(p^.FloatVal);
end;
(*----------------------------------------------------------------------------*)
(* Den Floatwert eines numerischen Knotens liefern. *)
(*----------------------------------------------------------------------------*)
function LspGetFloatVal(p: pNode): double;
begin
result := 0.0;
if (not LspNumberp(p)) then
raise ELispException.Create('ErrNumberExpected','Argument wrong');
if (p^.Typ = cLspInteger) then
result := p^.IntegerVal
else
if (p^.Typ = cLspFloat) then
result := p^.FloatVal;
end;
end.