Data commit

Task/Conjugate-transpose/Ada/conjugate-transpose.ada

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+with Ada.Text_IO; use Ada.Text_IO;
+with Ada.Complex_Text_IO; use Ada.Complex_Text_IO;
+with Ada.Numerics.Complex_Types; use Ada.Numerics.Complex_Types;
+with Ada.Numerics.Complex_Arrays; use Ada.Numerics.Complex_Arrays;
+procedure ConTrans is
+   subtype CM is Complex_Matrix;
+   S2O2 : constant Float := 0.7071067811865;
+
+   procedure Print (mat : CM) is begin
+      for row in mat'Range(1) loop for col in mat'Range(2) loop
+         Put(mat(row,col), Exp=>0, Aft=>4);
+      end loop; New_Line; end loop;
+   end Print;
+
+   function almostzero(mat : CM; tol : Float) return Boolean is begin
+      for row in mat'Range(1) loop for col in mat'Range(2) loop
+         if abs(mat(row,col)) > tol then return False; end if;
+      end loop; end loop;
+      return True;
+   end almostzero;
+
+   procedure Examine (mat : CM) is
+      CT : CM := Conjugate (Transpose(mat));
+      isherm, isnorm, isunit : Boolean;
+   begin
+      isherm := almostzero(mat-CT, 1.0e-6);
+      isnorm := almostzero(mat*CT-CT*mat, 1.0e-6);
+      isunit := almostzero(CT-Inverse(mat), 1.0e-6);
+      Print(mat);
+      Put_Line("Conjugate transpose:"); Print(CT);
+      Put_Line("Hermitian?: " & isherm'Img);
+      Put_Line("Normal?: " & isnorm'Img);
+      Put_Line("Unitary?: " & isunit'Img);
+   end Examine;
+
+   hmat : CM := ((3.0+0.0*i, 2.0+1.0*i), (2.0-1.0*i, 1.0+0.0*i));
+   nmat : CM := ((1.0+0.0*i, 1.0+0.0*i, 0.0+0.0*i),
+                 (0.0+0.0*i, 1.0+0.0*i, 1.0+0.0*i),
+                 (1.0+0.0*i, 0.0+0.0*i, 1.0+0.0*i));
+   umat : CM := ((S2O2+0.0*i, S2O2+0.0*i, 0.0+0.0*i),
+                 (0.0+S2O2*i, 0.0-S2O2*i, 0.0+0.0*i),
+                 (0.0+0.0*i, 0.0+0.0*i, 0.0+1.0*i));
+begin
+   Put_Line("hmat:"); Examine(hmat); New_Line;
+   Put_Line("nmat:"); Examine(nmat); New_Line;
+   Put_Line("umat:"); Examine(umat);
+end ConTrans;