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--- CXA5A03.A
---
--- Grant of Unlimited Rights
---
--- Under contracts F33600-87-D-0337, F33600-84-D-0280, MDA903-79-C-0687,
--- F08630-91-C-0015, and DCA100-97-D-0025, the U.S. Government obtained
--- unlimited rights in the software and documentation contained herein.
--- Unlimited rights are defined in DFAR 252.227-7013(a)(19). By making
--- this public release, the Government intends to confer upon all
--- recipients unlimited rights equal to those held by the Government.
--- These rights include rights to use, duplicate, release or disclose the
--- released technical data and computer software in whole or in part, in
--- any manner and for any purpose whatsoever, and to have or permit others
--- to do so.
---
--- DISCLAIMER
---
--- ALL MATERIALS OR INFORMATION HEREIN RELEASED, MADE AVAILABLE OR
--- DISCLOSED ARE AS IS. THE GOVERNMENT MAKES NO EXPRESS OR IMPLIED
--- WARRANTY AS TO ANY MATTER WHATSOEVER, INCLUDING THE CONDITIONS OF THE
--- SOFTWARE, DOCUMENTATION OR OTHER INFORMATION RELEASED, MADE AVAILABLE
--- OR DISCLOSED, OR THE OWNERSHIP, MERCHANTABILITY, OR FITNESS FOR A
--- PARTICULAR PURPOSE OF SAID MATERIAL.
---*
---
--- OBJECTIVE:
--- Check that the functions Tan, Tanh, and Arctanh provide correct
--- results.
---
--- TEST DESCRIPTION:
--- This test examines both the version of Tan, Tanh, and Arctanh
--- the instantiation of the Ada.Numerics.Generic_Elementary_Functions
--- with a type derived from type Float, as well as the preinstantiated
--- version of this package for type Float.
--- Prescribed results, including instances prescribed to raise
--- exceptions, are examined in the test cases. In addition,
--- certain evaluations are performed where the actual function result
--- is compared with the expected result (within an epsilon range of
--- accuracy).
---
--- TEST FILES:
--- The following files comprise this test:
---
--- FXA5A00.A (foundation code)
--- CXA5A03.A
---
---
--- CHANGE HISTORY:
--- 14 Mar 95 SAIC Initial prerelease version.
--- 06 Apr 95 SAIC Corrected errors in context clause references
--- and usage of Cycle parameter.
--- 13 Jun 95 SAIC Incorporated use of Dont_Optimize procedure, and
--- use of Result_Within_Range function overloaded for
--- FXA5A00.New_Float_Type.
--- 29 Jun 98 EDS Protected exception tests by first testing
--- for 'Machine_Overflows
---
---!
-
-with Ada.Numerics.Elementary_Functions;
-with Ada.Numerics.Generic_Elementary_Functions;
-with FXA5A00;
-with Report;
-
-procedure CXA5A03 is
-begin
-
- Report.Test ("CXA5A03", "Check that the functions Tan, Tanh, and " &
- "Arctanh provide correct results");
-
- Test_Block:
- declare
-
- use Ada.Numerics;
- use FXA5A00;
-
- package GEF is new Ada.Numerics.Generic_Elementary_Functions(New_Float);
- package EF renames Ada.Numerics.Elementary_Functions;
-
- The_Result : Float;
- New_Float_Result : New_Float;
-
- procedure Dont_Optimize_Float is new Dont_Optimize(Float);
- procedure Dont_Optimize_New_Float is new Dont_Optimize(New_Float);
-
- begin
-
- -- Testing of Tan Function, both instantiated and pre-instantiated
- -- version.
-
- -- Check that no exception occurs on computing the Tan with very
- -- large (positive and negative) input values.
-
- begin
- New_Float_Result := GEF.Tan (New_Float(FXA5A00.Large));
- Dont_Optimize_New_Float(New_Float_Result, 1);
- exception
- when others =>
- Report.Failed("Unexpected exception on GEF.Tan with large " &
- "positive value");
- end;
-
- begin
- The_Result := EF.Tan (FXA5A00.Minus_Large);
- Dont_Optimize_Float(The_Result, 2);
- exception
- when others =>
- Report.Failed("Unexpected exception on EF.Tan with large " &
- "negative value");
- end;
-
-
- -- Check that no exception occurs on computing the Tan with very
- -- small (positive and negative) input values.
-
- begin
- New_Float_Result := GEF.Tan (New_Float(FXA5A00.Small));
- Dont_Optimize_New_Float(New_Float_Result, 3);
- exception
- when others =>
- Report.Failed("Unexpected exception on GEF.Tan with small " &
- "positive value");
- end;
-
- begin
- The_Result := EF.Tan (-FXA5A00.Small);
- Dont_Optimize_Float(The_Result, 4);
- exception
- when others =>
- Report.Failed("Unexpected exception on EF.Tan with small " &
- "negative value");
- end;
-
-
- -- Check prescribed result from Tan function. When the parameter X
- -- has the value zero, the Tan function yields a result of zero.
-
- if GEF.Tan(0.0) /= 0.0 or
- EF.Tan(0.0) /= 0.0
- then
- Report.Failed("Incorrect result from Tan function with zero " &
- "value input parameter");
- end if;
-
-
- -- Check the results of the Tan function with various input parameters.
-
- if not (Result_Within_Range(GEF.Tan(0.7854), 1.0, 0.001) and
- Result_Within_Range(GEF.Tan(0.8436), 1.124, 0.001) and
- Result_Within_Range( EF.Tan(Pi), 0.0, 0.001) and
- Result_Within_Range( EF.Tan(-Pi), 0.0, 0.001) and
- Result_Within_Range(GEF.Tan(0.5381), 0.597, 0.001) and
- Result_Within_Range( EF.Tan(0.1978), 0.200, 0.001))
- then
- Report.Failed("Incorrect result from Tan function with various " &
- "input parameters");
- end if;
-
-
- -- Testing of Tan function with cycle parameter.
-
- -- Check that Constraint_Error is raised by the Tan function with
- -- specified cycle, when the value of the parameter X is an odd
- -- multiple of the quarter cycle.
-
- if New_Float'Machine_Overflows = True then
- begin
- New_Float_Result := GEF.Tan(270.0, 360.0);
- Report.Failed("Constraint_Error not raised by GEF.Tan on odd " &
- "multiple of the quarter cycle");
- Dont_Optimize_New_Float(New_Float_Result, 5);
- exception
- when Constraint_Error => null; -- OK, expected exception.
- when others =>
- Report.Failed("Unexpected exception raised by GEF.Tan on odd " &
- "multiple of the quarter cycle");
- end;
- end if;
-
- -- Check that the exception Numerics.Argument_Error is raised, when
- -- the value of the parameter Cycle is zero or negative.
-
- begin
- New_Float_Result := GEF.Tan(X => 1.0, Cycle => -360.0);
- Report.Failed("Argument_Error not raised by GEF.Tan when Cycle " &
- "parameter has negative value");
- Dont_Optimize_New_Float(New_Float_Result, 6);
- exception
- when Argument_Error => null; -- OK, expected exception.
- when others =>
- Report.Failed("Unexpected exception raised by GEF.Tan when Cycle " &
- "parameter has negative value");
- end;
-
- begin
- The_Result := EF.Tan(1.0, Cycle => 0.0);
- Report.Failed("Argument_Error not raised by GEF.Tan when Cycle " &
- "parameter has a zero value");
- Dont_Optimize_Float(The_Result, 7);
- exception
- when Argument_Error => null; -- OK, expected exception.
- when others =>
- Report.Failed("Unexpected exception raised by EF.Tan when Cycle " &
- "parameter has a zero value");
- end;
-
-
- -- Check that no exception occurs on computing the Tan with very
- -- large (positive and negative) input values.
-
- begin
- New_Float_Result := GEF.Tan (New_Float(FXA5A00.Large), 360.0);
- Dont_Optimize_New_Float(New_Float_Result, 8);
- exception
- when others =>
- Report.Failed("Unexpected exception on GEF.Tan with large " &
- "positive value");
- end;
-
- begin
- The_Result := EF.Tan (FXA5A00.Minus_Large, Cycle => 360.0);
- Dont_Optimize_Float(The_Result, 9);
- exception
- when others =>
- Report.Failed("Unexpected exception on EF.Tan with large " &
- "negative value");
- end;
-
-
- -- Check prescribed result from Tan function with Cycle parameter.
-
- if GEF.Tan(0.0, 360.0) /= 0.0 or
- EF.Tan(0.0, Cycle => 360.0) /= 0.0
- then
- Report.Failed("Incorrect result from Tan function with cycle " &
- "parameter, using a zero value input parameter");
- end if;
-
-
- -- Check the Tan function, with specified Cycle parameter, with a
- -- variety of input parameters.
-
- if not Result_Within_Range(GEF.Tan(30.0, 360.0), 0.577, 0.001) or
- not Result_Within_Range( EF.Tan(57.0, 360.0), 1.540, 0.001) or
- not Result_Within_Range(GEF.Tan(115.0, 360.0), -2.145, 0.001) or
- not Result_Within_Range( EF.Tan(299.0, 360.0), -1.804, 0.001) or
- not Result_Within_Range(GEF.Tan(390.0, 360.0), 0.577, 0.001) or
- not Result_Within_Range( EF.Tan(520.0, 360.0), -0.364, 0.001)
- then
- Report.Failed("Incorrect result from the Tan function with " &
- "cycle parameter, with various input parameter " &
- "values");
- end if;
-
-
-
- -- Testing of Tanh Function, both instantiated and pre-instantiated
- -- version.
-
- -- Check that no exception occurs on computing the Tan with very
- -- large (positive and negative) input values.
-
- begin
- New_Float_Result := GEF.Tanh (New_Float(FXA5A00.Large));
- Dont_Optimize_New_Float(New_Float_Result, 10);
- exception
- when others =>
- Report.Failed("Unexpected exception on GEF.Tanh with large " &
- "positive value");
- end;
-
- begin
- The_Result := EF.Tanh (FXA5A00.Minus_Large);
- Dont_Optimize_Float(The_Result, 11);
- exception
- when others =>
- Report.Failed("Unexpected exception on EF.Tanh with large " &
- "negative value");
- end;
-
-
- -- Check for prescribed result of Tanh with zero value input parameter.
-
- if GEF.Tanh (0.0) /= 0.0 or
- EF.Tanh (0.0) /= 0.0
- then
- Report.Failed("Incorrect result from Tanh with zero parameter");
- end if;
-
-
- -- Check the results of the Tanh function with various input
- -- parameters.
-
- if not (FXA5A00.Result_Within_Range(GEF.Tanh(2.99), 0.995, 0.001) and
- FXA5A00.Result_Within_Range(GEF.Tanh(0.130), 0.129, 0.001) and
- FXA5A00.Result_Within_Range( EF.Tanh(Pi), 0.996, 0.001) and
- FXA5A00.Result_Within_Range( EF.Tanh(-Pi), -0.996, 0.001) and
- FXA5A00.Result_Within_Range(GEF.Tanh(0.60), 0.537, 0.001) and
- FXA5A00.Result_Within_Range( EF.Tanh(1.04), 0.778, 0.001) and
- FXA5A00.Result_Within_Range(GEF.Tanh(1.55), 0.914, 0.001) and
- FXA5A00.Result_Within_Range( EF.Tanh(-2.14), -0.973, 0.001))
- then
- Report.Failed("Incorrect result from Tanh function with various " &
- "input parameters");
- end if;
-
-
-
- -- Testing of Arctanh Function, both instantiated and pre-instantiated
- -- version.
-
- -- Check that Constraint_Error is raised by the Arctanh function
- -- when the absolute value of the parameter X is one.
-
- if New_Float'Machine_Overflows = True then
- begin
- New_Float_Result := GEF.Arctanh(X => 1.0);
- Report.Failed("Constraint_Error not raised by Function Arctanh " &
- "when provided a parameter value of 1.0");
- Dont_Optimize_New_Float(New_Float_Result, 12);
- exception
- when Constraint_Error => null; -- OK, expected exception.
- when others =>
- Report.Failed("Unexpected exception raised by Function Arctanh "
- & "when provided a parameter value of 1.0");
- end;
- end if;
-
- if Float'Machine_Overflows = True then
- begin
- The_Result := EF.Arctanh(-1.0);
- Report.Failed("Constraint_Error not raised by Function Arctanh " &
- "when provided a parameter value of -1.0");
- Dont_Optimize_Float(The_Result, 13);
- exception
- when Constraint_Error => null; -- OK, expected exception.
- when others =>
- Report.Failed("Unexpected exception raised by Function Arctanh "
- & "when provided a parameter value of -1.0");
- end;
- end if;
-
- -- Check that Function Arctanh raises Argument_Error when the absolute
- -- value of the parameter X exceeds one.
-
- begin
- New_Float_Result := GEF.Arctanh(New_Float(FXA5A00.One_Plus_Delta));
- Report.Failed("Argument_Error not raised by Function Arctanh " &
- "when provided a parameter value greater than 1.0");
- Dont_Optimize_New_Float(New_Float_Result, 14);
- exception
- when Argument_Error => null; -- OK, expected exception.
- when others =>
- Report.Failed("Unexpected exception raised by Function Arctanh " &
- "when provided a parameter value greater than 1.0");
- end;
-
-
- begin
- The_Result := EF.Arctanh(FXA5A00.Minus_One_Minus_Delta);
- Report.Failed("Argument_Error not raised by Function Arctanh " &
- "when provided a parameter value less than -1.0");
- Dont_Optimize_Float(The_Result, 15);
- exception
- when Argument_Error => null; -- OK, expected exception.
- when others =>
- Report.Failed("Unexpected exception raised by Function Arctanh " &
- "when provided a parameter value less than -1.0");
- end;
-
-
- begin
- New_Float_Result := GEF.Arctanh(New_Float(FXA5A00.Large));
- Report.Failed("Argument_Error not raised by Function Arctanh " &
- "when provided a large positive parameter value");
- Dont_Optimize_New_Float(New_Float_Result, 16);
- exception
- when Argument_Error => null; -- OK, expected exception.
- when others =>
- Report.Failed("Unexpected exception raised by Function Arctanh " &
- "when provided a large positive parameter value");
- end;
-
-
- begin
- The_Result := EF.Arctanh(FXA5A00.Minus_Large);
- Report.Failed("Argument_Error not raised by Function Arctanh " &
- "when provided a large negative parameter value");
- Dont_Optimize_Float(The_Result, 17);
- exception
- when Argument_Error => null; -- OK, expected exception.
- when others =>
- Report.Failed("Unexpected exception raised by Function Arctanh " &
- "when provided a large negative parameter value");
- end;
-
-
- -- Prescribed results for Function Arctanh with zero input value.
-
- if GEF.Arctanh(0.0) /= 0.0 or
- EF.Arctanh(0.0) /= 0.0
- then
- Report.Failed("Incorrect result from Function Arctanh with a " &
- "parameter value of zero");
- end if;
-
-
- -- Check the results of the Arctanh function with various input
- -- parameters.
-
- if not (Result_Within_Range(GEF.Arctanh(0.15), 0.151, 0.001) and
- Result_Within_Range( EF.Arctanh(0.44), 0.472, 0.001) and
- Result_Within_Range(GEF.Arctanh(0.81), 1.127, 0.001) and
- Result_Within_Range( EF.Arctanh(0.99), 2.647, 0.001))
- then
- Report.Failed("Incorrect result from Arctanh function with " &
- "various input parameters");
- end if;
-
- exception
- when others => Report.Failed ("Exception raised in Test_Block");
- end Test_Block;
-
- Report.Result;
-
-end CXA5A03;