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florian 20 ani în urmă
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a433f722be
1 a modificat fișierele cu 132 adăugiri și 0 ștergeri
  1. 132 0
      tests/test/units/math/ttrig1.pp

+ 132 - 0
tests/test/units/math/ttrig1.pp

@@ -0,0 +1,132 @@
+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;
+
+begin
+for i:=1 to dim do
+  begin
+  // Generate constant array above output
+  write(sin(i*10/180.0*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*10/180.0*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*10/180*pi);
+  Value := cos(i*10/180*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*10/180*pi)/cos(i*10/180*pi);
+    Value := tan(i*10/180*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*10/180*pi))/pi*180;
+  Delta := Value - Ref;
+  if Abs(Delta) > 1E-14 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*10/180*pi))/pi*180;
+  Delta := Value - Ref;
+  if Abs(Delta) > 1E-14 then
+    begin
+      writeln('  Error for ArcTan(',i*10,') was:',Value,' should be:',Ref);
+      halt(1);
+    end;
+  end;
+
+writeln('Tan +/- 90 deg test:');
+writeln('tan(89.999):',tan(89.999/180*pi));
+writeln('tan(90.000):',tan(90.000/180*pi));
+
+writeln('tan(-89.999):',tan(-89.999/180*pi));
+writeln('tan(-90.000):',tan(-90.000/180*pi));
+
+writeln('ArcTan2 kwadrants:');
+writeln('Kwadrant 1 ( 1, 1):',arctan2( 1, 1)/pi*180:5:1,' deg');
+writeln('Kwadrant 2 (-1, 1):',arctan2( 1,-1)/pi*180:5:1,' deg');
+writeln('Kwadrant 3 (-1,-1):',arctan2(-1,-1)/pi*180:5:1,' deg');
+writeln('Kwadrant 4 ( 1,-1):',arctan2(-1, 1)/pi*180:5:1,' deg');
+
+writeln('ArcTan2 special cases:');
+writeln('Kwadrant X ( 0, 0):',arctan2( 0, 0)/pi*180:5:1,' deg');
+writeln('Kwadrant 1 ( 1, 0):',arctan2( 0, 1)/pi*180:5:1,' deg');
+writeln('Kwadrant 2 ( 0, 1):',arctan2( 1, 0)/pi*180:5:1,' deg');
+writeln('Kwadrant 3 (-1, 0):',arctan2( 0,-1)/pi*180:5:1,' deg');
+writeln('Kwadrant 4 ( 0,-1):',arctan2(-1, 0)/pi*180:5:1,' deg');
+
+
+
+end.