Initial data commit

Task/Van-der-Corput-sequence/Pascal/van-der-corput-sequence.pas

@@ -0,0 +1,88 @@
+Program VanDerCorput;
+{$IFDEF FPC}
+  {$MODE DELPHI}
+{$ELSE}
+  {$APPTYPE CONSOLE}
+{$ENDIF}
+
+type
+  tvdrCallback = procedure (nom,denom: NativeInt);
+
+{ Base=2
+function rev2(n,Pot:NativeUint):NativeUint;
+var
+  r : Nativeint;
+begin
+  r := 0;
+  while Pot > 0 do
+  Begin
+    r := r shl 1 OR (n AND 1);
+    n := n shr 1;
+    dec(Pot);
+  end;
+  rev2 := r;
+end;
+}
+
+function reverse(n,base,Pot:NativeUint):NativeUint;
+var
+  r,c : Nativeint;
+begin
+  r := 0;
+//No need to test n> 0 in this special case, n starting in upper half
+  while Pot > 0 do
+  Begin
+    c := n div base;
+    r := n+(r-c)*base;
+    n := c;
+    dec(Pot);
+  end;
+  reverse := r;
+end;
+
+procedure VanDerCorput(base,count:NativeUint;f:tvdrCallback);
+//calculates count nominater and denominater of Van der Corput sequence
+// to base
+var
+ Pot,
+ denom,nom,
+ i : NativeUint;
+Begin
+  denom := 1;
+  Pot := 0;
+  while count > 0 do
+  Begin
+    IF Pot = 0 then
+      f(0,1);
+    //start in upper half
+    i := denom;
+    inc(Pot);
+    denom := denom *base;
+
+    repeat
+      nom := reverse(i,base,Pot);
+      IF count > 0 then
+        f(nom,denom)
+      else
+        break;
+      inc(i);
+      dec(count);
+    until i >= denom;
+  end;
+end;
+
+procedure vdrOutPut(nom,denom: NativeInt);
+Begin
+  write(nom,'/',denom,'  ');
+end;
+
+var
+ i : NativeUint;
+Begin
+  For i := 2 to 5 do
+  Begin
+    write(' Base ',i:2,' :');
+    VanDerCorput(i,9,@vdrOutPut);
+    writeln;
+  end;
+end.