program test03; uses {$IFDEF CPU86} CMem, {$ENDIF} SysUtils,Math; const dim = 36; MaxFloat = 1.1000000000000000E+4932; // from dcc sinus : array[1..dim] of double = ( 1.7364817766693035E-0001, 3.4202014332566873E-0001, 5.0000000000000000E-0001, 6.4278760968653933E-0001, 7.6604444311897804E-0001, 8.6602540378443865E-0001, 9.3969262078590838E-0001, 9.8480775301220806E-0001, 1.0000000000000000E+0000, 9.8480775301220806E-0001, 9.3969262078590838E-0001, 8.6602540378443865E-0001, 7.6604444311897804E-0001, 6.4278760968653933E-0001, 5.0000000000000000E-0001, 3.4202014332566873E-0001, 1.7364817766693035E-0001,-5.4210108624275222E-0020,-1.7364817766693035E-0001,-3.4202014332566873E-0001, -5.0000000000000000E-0001,-6.4278760968653933E-0001,-7.6604444311897804E-0001,-8.6602540378443865E-0001, -9.3969262078590838E-0001,-9.8480775301220806E-0001,-1.0000000000000000E+0000,-9.8480775301220806E-0001, -9.3969262078590838E-0001,-8.6602540378443865E-0001,-7.6604444311897804E-0001,-6.4278760968653933E-0001, -5.0000000000000000E-0001,-3.4202014332566873E-0001,-1.7364817766693035E-0001, 1.0842021724855044E-0019 ); var i : integer; Delta,Ref,Value : Double; Ref2,Value2,Dummy : Float; begin for i:=1 to dim do begin // Generate constant array above output write(sin(i*10/float(180.0)*pi),','); if i mod 4 = 0 then writeln; end; writeln('Testing SIN'); for i:=1 to dim do begin Ref:=sinus[i]; Value:=sin(i*10/float(180.0)*pi); Delta := Value - Ref; if Abs(Delta) > 1E-15 then begin writeln(' Error for Sin(',i*10,') was:',Value,' should be:',Ref) ; halt(1); end; end; writeln('Testing COS'); for i:=1 to dim do begin Ref := sin(pi/2-i*10/float(180)*pi); Value := cos(i*10/float(180)*pi); Delta := Value - Ref; if Abs(Delta) > 1E-15 then begin writeln(' Error for Cos(',i*10,') was:',Value,' should be:',Ref) ; halt(1); end; end; writeln('Testing TAN'); for i:=1 to dim do begin { if i=9 then Ref := MaxFloat else if i=27 then Ref := -Maxfloat else } Ref:=sin(i*10/float(180)*pi)/cos(i*10/float(180)*pi); Value := tan(i*10/float(180)*pi); Delta := Value - Ref; if Abs(Delta) > 1E-15 then begin writeln(' Error for Tan(',i*10,') was:',Value,' should be:',Ref) ; halt(1); end; end; writeln('Testing ARCTAN...'); for i:=1 to 8 do begin Ref := i*10; Value := arctan(tan(i*10/float(180)*pi))/pi*float(180); Delta := Value - Ref; if Abs(Delta) > {$ifdef cpuarm} 1E-13 {$else} 1E-14 {$endif} then begin writeln(' Error for ArcTan(',i*10,') was:',Value,' should be:',Ref); halt(1); end; end; for i:=-1 downto -8 do begin Ref := i*10; Value := arctan(tan(i*10/float(180)*pi))/pi*float(180); Delta := Value - Ref; if Abs(Delta) > {$ifdef cpuarm} 1E-13 {$else} 1E-14 {$endif} then begin writeln(' Error for ArcTan(',i*10,') was:',Value,' should be:',Ref); halt(1); end; end; writeln('Testing SINCOS'); for i:=1 to dim do begin sincos(pi/2-i*10/float(180)*pi,Ref2,Dummy); sincos(i*10/float(180)*pi,Dummy,Value2); Delta := Value2 - Ref2; if Abs(Delta) > 1E-15 then begin writeln(' Error for Cos(',i*10,') was:',Value2,' should be:',Ref2) ; halt(1); end; end; writeln('Tan +/- 90 deg test:'); writeln('tan(89.999):',tan(89.999/float(180)*pi)); writeln('tan(90.000):',tan(90.000/float(180)*pi)); writeln('tan(-89.999):',tan(-89.999/float(180)*pi)); writeln('tan(-90.000):',tan(-90.000/float(180)*pi)); writeln('ArcTan2 kwadrants:'); writeln('Kwadrant 1 ( 1, 1):',arctan2( 1, 1)/pi*float(180):5:1,' deg'); writeln('Kwadrant 2 (-1, 1):',arctan2( 1,-1)/pi*float(180):5:1,' deg'); writeln('Kwadrant 3 (-1,-1):',arctan2(-1,-1)/pi*float(180):5:1,' deg'); writeln('Kwadrant 4 ( 1,-1):',arctan2(-1, 1)/pi*float(180):5:1,' deg'); writeln('ArcTan2 special cases:'); writeln('Kwadrant X ( 0, 0):',arctan2( 0, 0)/pi*float(180):5:1,' deg'); writeln('Kwadrant 1 ( 1, 0):',arctan2( 0, 1)/pi*float(180):5:1,' deg'); writeln('Kwadrant 2 ( 0, 1):',arctan2( 1, 0)/pi*float(180):5:1,' deg'); writeln('Kwadrant 3 (-1, 0):',arctan2( 0,-1)/pi*float(180):5:1,' deg'); writeln('Kwadrant 4 ( 0,-1):',arctan2(-1, 0)/pi*float(180):5:1,' deg'); end.