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FUN1_TST.PAS
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Pascal/Delphi Source File
|
1992-05-01
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7KB
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242 lines
PROGRAM Fun1_Test; { Copyright (c) 1990-1992 Norbert Juffa }
{$A+,B-,D+,E+,F-,I-,L-,N+,O-,R-,S-,V-}
{$M 16384,0,655360}
USES Math, Fun1_TP6;
VAR RandomNr: ARRAY [0..10760] OF REAL;
R, R2: REAL;
X, Y,
MaxY: EXTENDED;
I, J, L,
ErrCountY: LONGINT;
CONST
{$IFDEF VER40}
Ver = '4.0';
{$ENDIF}
{$IFDEF VER50}
Ver = '5.0';
{$ENDIF}
{$IFDEF VER55}
Ver = '5.5';
{$ENDIF}
{$IFDEF VER60}
Ver = '6.0';
{$ENDIF}
BEGIN
WriteLn;
WriteLn ('Testing for errors in the basic arithmetic operations of TP '+Ver);
WriteLn;
WriteLn ('There should be no errors reported and relative error should be below');
WriteLn (PowerOfTwo (-40), ' for all functions that are tested. The test ');
WriteLn ('will take some time to complete, especially when using the emulator.');
WriteLn ('─────────────────────────────────────────────────────────────────────');
RandSeed := 12345;
FOR L := 0 TO 10760 DO BEGIN
RandomNr [L] := Exp (Random * 87);
END;
ErrCountY := 0;
MaxY := 0;
FOR L := 1 TO 100000 DO BEGIN
X := RandomNr [L MOD 10739] + RandomNr [(L + 101) MOD 10753];
Y := Add_TP60 (RandomNr [L MOD 10739], RandomNr [(L + 101) MOD 10753]);
R := X;
R2:= Y;
IF (X <> Y) THEN BEGIN
IF Abs ((Y-X) / X) > MaxY THEN
MaxY := Abs ((Y-X) / X);
IF (R <> R2) THEN
Inc (ErrCountY);
END;
END;
WriteLn ('errors in addition:');
WriteLn;
Write ('Turbo-Pascal '+Ver+': ', ErrCountY / 1000.0:5:4, '% ');
WriteLn ('(max. relative error: ', MaxY:18, ')');
WriteLn;
WriteLn;
MaxY := 0;
ErrCountY := 0;
FOR L := 1 TO 100000 DO BEGIN
X := RandomNr [L MOD 10739] - RandomNr [(L + 101) MOD 10753];
Y := Sub_TP60 (RandomNr [L MOD 10739], RandomNr [(L + 101) MOD 10753]);
R := X;
R2:= Y;
IF (X <> Y) THEN BEGIN
IF Abs ((Y-X) / X) > MaxY THEN
MaxY := Abs ((Y-X) / X);
IF (R <> R2) THEN
Inc (ErrCountY);
END;
END;
WriteLn ('errors in subtraction: ');
WriteLn;
Write ('Turbo-Pascal '+Ver+': ', ErrCountY / 1000.0:5:4, '% ');
WriteLn ('(max. relative error: ', MaxY:18, ')');
WriteLn;
WriteLn;
FOR L := 0 TO 10760 DO BEGIN
RandomNr [L] := Exp (Random * 43) * (Random - 1);
IF RandomNr [L] = 0 THEN
RandomNr[L] := 0.1;
END;
MaxY := 0;
ErrCountY := 0;
FOR L := 1 TO 100000 DO BEGIN
X := RandomNr [L MOD 10739] * RandomNr [(L + 101) MOD 10753];
Y := Mul_TP60 (RandomNr [L MOD 10739], RandomNr [(L + 101) MOD 10753]);
R := X;
R2:= Y;
IF (X <> Y) THEN BEGIN
IF Abs ((Y-X) / X) > MaxY THEN
MaxY := Abs ((Y-X) / X);
IF (R <> R2) THEN
Inc (ErrCountY);
END;
END;
WriteLn ('errors in multiplication: ');
WriteLn;
Write ('Turbo-Pascal '+Ver+': ', ErrCountY / 1000.0:5:4, '% ');
WriteLn ('(max. relative error: ', MaxY:18, ')');
WriteLn;
WriteLn;
MaxY := 0;
ErrCountY := 0;
FOR L := 1 TO 10760 DO BEGIN
X := Sqr (RandomNr [L]);
Y := Sqr_TP60 (RandomNr [L]);
R := X;
R2:= Y;
IF (X <> Y) THEN BEGIN
IF Abs ((Y-X) / X) > MaxY THEN
MaxY := Abs ((Y-X) / X);
IF (R <> R2) THEN
Inc (ErrCountY);
END;
END;
WriteLn ('errors in squaring: ');
WriteLn;
Write ('Turbo-Pascal '+Ver+': ', ErrCountY / 107.6:5:4, '% ');
WriteLn ('(max. relative error: ', MaxY:18, ')');
WriteLn;
WriteLn;
MaxY := 0;
ErrCountY := 0;
FOR L := 1 TO 50000 DO BEGIN
X := RandomNr [L MOD 10739] * Trunc (RandomNr [(L + 101) MOD 10753] / 8e13);
Y := Mul_TP60 (RandomNr [L MOD 10739], Trunc (RandomNr [(L + 101) MOD 10753]/8e13));
R := X;
R2:= Y;
IF (X <> Y) THEN BEGIN
IF Abs ((Y-X) / X) > MaxY THEN
MaxY := Abs ((Y-X) / X);
IF (R <> R2) THEN
Inc (ErrCountY);
END;
END;
FOR L := 1 TO 50000 DO BEGIN
X := Trunc (RandomNr [(L + 101) MOD 10739] / 8e13) *RandomNr [L MOD 10753];
Y := Mul_TP60 (Trunc (RandomNr [(L + 101) MOD 10739]/8e13),RandomNr [L MOD 10753]);
R := X;
R2:= Y;
IF (X <> Y) THEN BEGIN
IF Abs ((Y-X) / X) > MaxY THEN
MaxY := Abs ((Y-X) / X);
IF (R <> R2) THEN
Inc (ErrCountY);
END;
END;
WriteLn ('errors in SHORT-multiplication: ');
WriteLn;
Write ('Turbo-Pascal '+Ver+': ', ErrCountY / 1000.0:5:4, '% ');
WriteLn ('(max. relative error: ', MaxY:18, ')');
WriteLn;
WriteLn;
MaxY := 0;
ErrCountY := 0;
FOR L := 1 TO 10760 DO BEGIN
X := Sqr (1.0*Trunc(RandomNr [L] / 8e13+1));
Y := Sqr_TP60 (Trunc(RandomNr [L] / 8e13+1));
R := X;
R2:= Y;
IF (X <> Y) and (X <> 0) THEN BEGIN
IF Abs ((Y-X) / X) > MaxY THEN
MaxY := Abs ((Y-X) / X);
IF (R <> R2) THEN
Inc (ErrCountY);
END;
END;
WriteLn ('errors in squaring (Short): ');
WriteLn;
Write ('Turbo-Pascal '+Ver+': ', ErrCountY / 107.6:5:4, '% ');
WriteLn ('(max. relative error: ', MaxY:18, ')');
WriteLn;
WriteLn;
MaxY := 0;
ErrCountY := 0;
FOR L := 1 TO 100000 DO BEGIN
X := RandomNr [L MOD 10739] / RandomNr [(L + 101) MOD 10753];
Y := Div_TP60 (RandomNr [L MOD 10739], RandomNr [(L + 101) MOD 10753]);
R := X;
R2:= Y;
IF (X <> Y) THEN BEGIN
IF Abs ((Y-X) / X) > MaxY THEN
MaxY := Abs ((Y-X) / X);
IF (R <> R2) THEN
Inc (ErrCountY);
END;
END;
WriteLn ('errors in division: ');
WriteLn;
Write ('Turbo-Pascal '+Ver+': ', ErrCountY / 1000.0:5:4, '% ');
WriteLn ('(max. relative error: ', MaxY:18, ')');
WriteLn;
WriteLn;
MaxY := 0;
ErrCountY := 0;
FOR L := 1 TO 10760 DO BEGIN
X := Int (RandomNr [L]) + Frac (RandomNr [L]);
Y := Int_TP60 (RandomNr [L]) + Frac_TP60 (RandomNr [L]);
R := X;
R2:= Y;
IF (X <> Y) THEN BEGIN
IF Abs ((Y-X) / X) > MaxY THEN
MaxY := Abs ((Y-X) / X);
IF (R <> R2) THEN
Inc (ErrCountY);
END;
END;
WriteLn ('errors in Int / Frac: ');
WriteLn;
Write ('Turbo-Pascal '+Ver+': ', ErrCountY / 107.6:5:4, '% ');
WriteLn ('(max. relative error: ', MaxY:18, ')');
WriteLn;
WriteLn;
MaxY := 0;
ErrCountY := 0;
FOR L := 1 TO 10760 DO BEGIN
RandomNr [L] := RandomNr [L] /2.5e9;
X := Trunc (RandomNr [L]);
Y := Float_TP60 (Trunc_TP60 (RandomNr [L]));
R := X;
R2:= Y;
IF (X <> Y) THEN BEGIN
IF Abs ((Y-X) / X) > MaxY THEN
MaxY := Abs ((Y-X) / X);
IF (R <> R2) THEN
Inc (ErrCountY);
END;
END;
WriteLn ('errors in Trunc / Float: ');
WriteLn;
Write ('Turbo-Pascal '+Ver+': ', ErrCountY / 107.6:5:4, '% ');
WriteLn ('(max. relative error: ', MaxY:18, ')');
WriteLn;
END. { Fun1_Test }