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--- CXA5A10.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 Exp and Sqrt, and the exponentiation
--- operator "**" provide correct results.
---
--- TEST DESCRIPTION:
--- This test examines both the versions of Exp, Sqrt, and "**"
--- resulting from 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 (stated as such in the reference manual),
--- including instances prescribed to raise exceptions, are examined
--- in the test cases. In addition, certain evaluations are performed
--- for the preinstantiated package 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)
--- CXA5A10.A
---
---
--- CHANGE HISTORY:
--- 17 Apr 95 SAIC Initial prerelease version.
--- 13 Jun 95 SAIC Incorporated use of Dont_Optimize procedure, and
--- use of Result_Within_Range function overloaded for
--- FXA5A00.New_Float_Type.
--- 18 Apr 96 SAIC Incorporated reviewer comments for ACVC 2.1.
--- 01 Oct 01 RLB Protected Constraint_Error exception tests by
--- first testing for 'Machine_Overflows.
---
---!
-
-with Ada.Exceptions;
-with Ada.Numerics.Elementary_Functions;
-with Ada.Numerics.Generic_Elementary_Functions;
-with FXA5A00;
-with Report;
-
-procedure CXA5A10 is
-begin
-
- Report.Test ("CXA5A10", "Check that Exp, Sqrt, and the ""**"" operator " &
- "provide correct results");
-
- Test_Block:
- declare
-
- use FXA5A00, Ada.Numerics;
- use Ada.Exceptions;
-
- package GEF is new Ada.Numerics.Generic_Elementary_Functions(New_Float);
- package EF renames Ada.Numerics.Elementary_Functions;
-
- use GEF, EF;
-
- Arg,
- Float_Result : Float;
- New_Float_Result : New_Float;
-
- Flag_1, Flag_2, Flag_3, Flag_4,
- Incorrect_Inverse_Base_e,
- Incorrect_Inverse_Base_2,
- Incorrect_Inverse_Base_8,
- Incorrect_Inverse_Base_10,
- Incorrect_Inverse_Base_16 : Boolean := False;
-
- procedure Dont_Optimize_Float is new Dont_Optimize(Float);
- procedure Dont_Optimize_New_Float is new Dont_Optimize(New_Float);
-
- begin
-
- -- Testing of the "**" operator, both instantiated and pre-instantiated
- -- version.
-
- -- Check that Argument_Error is raised by the exponentiation operator
- -- when the value of the Left parameter (operand) is negative.
-
- begin
- New_Float_Result := GEF."**"(Left => -10.0,
- Right => 2.0);
- Report.Failed("Argument_Error not raised by the instantiated " &
- "version of the exponentiation operator when the " &
- "value of the Left parameter is negative");
- Dont_Optimize_New_Float(New_Float_Result, 1);
- exception
- when Argument_Error => null; -- OK, expected exception.
- when others =>
- Report.Failed("Unexpected exception raised by the " &
- "instantiated version of the exponentiation " &
- "operator when the value of the Left parameter " &
- "is negative");
- end;
-
- begin
- Float_Result := (-FXA5A00.Small) ** 4.0;
- Report.Failed("Argument_Error not raised by the preinstantiated " &
- "version of the exponentiation operator when the " &
- "value of the Left parameter is negative");
- Dont_Optimize_Float(Float_Result, 2);
- exception
- when Argument_Error => null; -- OK, expected exception.
- when others =>
- Report.Failed("Unexpected exception raised by the " &
- "preinstantiated version of the exponentiation " &
- "operator when the value of the Left parameter " &
- "is negative");
- end;
-
-
- -- Check that Argument_Error is raised by the exponentiation operator
- -- when both parameters (operands) have the value 0.0.
-
- begin
- New_Float_Result := GEF."**"(0.0, Right => 0.0);
- Report.Failed("Argument_Error not raised by the instantiated " &
- "version of the exponentiation operator when " &
- "both operands are zero");
- Dont_Optimize_New_Float(New_Float_Result, 3);
- exception
- when Argument_Error => null; -- OK, expected exception.
- when others =>
- Report.Failed("Unexpected exception raised by the " &
- "instantiated version of the exponentiation " &
- "operator when both operands are zero");
- end;
-
- begin
- Float_Result := 0.0**0.0;
- Report.Failed("Argument_Error not raised by the preinstantiated " &
- "version of the exponentiation operator when both " &
- "operands are zero");
- Dont_Optimize_Float(Float_Result, 4);
- exception
- when Argument_Error => null; -- OK, expected exception.
- when others =>
- Report.Failed("Unexpected exception raised by the " &
- "preinstantiated version of the exponentiation " &
- "operator when both operands are zero");
- end;
-
-
- -- Check that Constraint_Error is raised by the exponentiation
- -- operator when the value of the left parameter (operand) is zero,
- -- and the value of the right parameter (exponent) is negative.
- -- This check applies only if Machine_Overflows is true [A.5.1(28, 30)].
-
- if New_Float'Machine_Overflows = True then
- begin
- New_Float_Result := GEF."**"(0.0, Right => -2.0);
- Report.Failed("Constraint_Error not raised by the instantiated " &
- "version of the exponentiation operator when " &
- "the left parameter is 0.0, and the right " &
- "parameter is negative");
- Dont_Optimize_New_Float(New_Float_Result, 5);
- exception
- when Constraint_Error => null; -- OK, expected exception.
- when others =>
- Report.Failed("Unexpected exception raised by the " &
- "instantiated version of the exponentiation " &
- "operator when the left parameter is 0.0, " &
- "and the right parameter is negative");
- end;
- end if;
-
- if Float'Machine_Overflows = True then
- begin
- Float_Result := 0.0 ** (-FXA5A00.Small);
- Report.Failed("Constraint_Error not raised by the " &
- "preinstantiated version of the exponentiation " &
- "operator when the left parameter is 0.0, and the " &
- "right parameter is negative");
- Dont_Optimize_Float(Float_Result, 6);
- exception
- when Constraint_Error => null; -- OK, expected exception.
- when others =>
- Report.Failed("Unexpected exception raised by the " &
- "preinstantiated version of the exponentiation " &
- "operator when the left parameter is 0.0, and " &
- "the right parameter is negative");
- end;
- end if;
-
- -- Prescribed results.
- -- Check that exponentiation by a 0.0 exponent yields the value one.
-
- if GEF."**"(Left => 10.0, Right => 0.0) /= 1.0 or
- EF."**"(FXA5A00.Large, Right => 0.0) /= 1.0 or
- GEF."**"(3.0, 0.0) /= 1.0 or
- FXA5A00.Small ** 0.0 /= 1.0
- then
- Report.Failed("Incorrect results returned from the ""**"" " &
- "operator when the value of the exponent is 0.0");
- end if;
-
-
- -- Check that exponentiation by a unit exponent yields the value
- -- of the left operand.
-
- if GEF."**"(Left => 50.0, Right => 1.0) /= 50.0 or
- EF."**"(FXA5A00.Large, Right => 1.0) /= FXA5A00.Large or
- GEF."**"(6.0, 1.0) /= 6.0 or
- FXA5A00.Small ** 1.0 /= FXA5A00.Small
- then
- Report.Failed("Incorrect results returned from the ""**"" " &
- "operator when the value of the exponent is 1.0");
- end if;
-
-
- -- Check that exponentiation of the value 1.0 yields the value 1.0.
-
- if GEF."**"(Left => 1.0, Right => 16.0) /= 1.0 or
- EF."**"(1.0, Right => FXA5A00.Large) /= 1.0 or
- GEF."**"(1.0, 3.0) /= 1.0 or
- 1.0 ** FXA5A00.Small /= 1.0
- then
- Report.Failed("Incorrect results returned from the ""**"" " &
- "operator when the value of the operand is 1.0");
- end if;
-
-
- -- Check that exponentiation of the value 0.0 yields the value 0.0.
-
- if GEF."**"(Left => 0.0, Right => 10.0) /= 0.0 or
- EF."**"(0.0, Right => FXA5A00.Large) /= 0.0 or
- GEF."**"(0.0, 4.0) /= 0.0 or
- 0.0 ** FXA5A00.Small /= 0.0
- then
- Report.Failed("Incorrect results returned from the ""**"" " &
- "operator when the value of the operand is 0.0");
- end if;
-
-
- -- Check that exponentiation of various operands with a variety of
- -- of exponent values yield correct results.
-
- if not Result_Within_Range(GEF."**"(5.0, 2.0), 25.0, 0.01) or
- not Result_Within_Range(GEF."**"(1.225, 1.5), 1.36, 0.01) or
- not Result_Within_Range(GEF."**"(0.26, 2.0), 0.068, 0.001) or
- not Result_Within_Range( EF."**"(e, 5.0), 148.4, 0.1) or
- not Result_Within_Range( EF."**"(10.0, e), 522.7, 0.1) or
- not Result_Within_Range( EF."**"(e, (-3.0)), 0.050, 0.001) or
- not Result_Within_Range(GEF."**"(10.0,(-2.0)), 0.010, 0.001)
- then
- Report.Failed("Incorrect results returned from the ""**"" " &
- "operator with a variety of operand and exponent " &
- "values");
- end if;
-
-
- -- Use the following loops to check for internal consistency between
- -- inverse functions.
-
- declare
- -- Use the relative error value to account for non-exact
- -- computations.
- TC_Relative_Error: Float := 0.005;
- begin
- for i in 1..5 loop
- for j in 0..5 loop
- if not Incorrect_Inverse_Base_e and
- not FXA5A00.Result_Within_Range
- (Float(i)**Float(j),
- e**(Float(j)*EF.Log(Float(i))),
- TC_Relative_Error)
- then
- Incorrect_Inverse_Base_e := True;
- Report.Failed("Incorrect Log-** Inverse calc for Base e " &
- "with i= " & Integer'Image(i) & " and j= " &
- Integer'Image(j));
- end if;
- if not Incorrect_Inverse_Base_2 and
- not FXA5A00.Result_Within_Range
- (Float(i)**Float(j),
- 2.0**(Float(j)*EF.Log(Float(i),2.0)),
- TC_Relative_Error)
- then
- Incorrect_Inverse_Base_2 := True;
- Report.Failed("Incorrect Log-** Inverse calc for Base 2 " &
- "with i= " & Integer'Image(i) & " and j= " &
- Integer'Image(j));
- end if;
- if not Incorrect_Inverse_Base_8 and
- not FXA5A00.Result_Within_Range
- (Float(i)**Float(j),
- 8.0**(Float(j)*EF.Log(Float(i),8.0)),
- TC_Relative_Error)
- then
- Incorrect_Inverse_Base_8 := True;
- Report.Failed("Incorrect Log-** Inverse calc for Base 8 " &
- "with i= " & Integer'Image(i) & " and j= " &
- Integer'Image(j));
- end if;
- if not Incorrect_Inverse_Base_10 and
- not FXA5A00.Result_Within_Range
- (Float(i)**Float(j),
- 10.0**(Float(j)*EF.Log(Float(i),10.0)),
- TC_Relative_Error)
- then
- Incorrect_Inverse_Base_10 := True;
- Report.Failed("Incorrect Log-** Inverse calc for Base 10 " &
- "with i= " & Integer'Image(i) & " and j= " &
- Integer'Image(j));
- end if;
- if not Incorrect_Inverse_Base_16 and
- not FXA5A00.Result_Within_Range
- (Float(i)**Float(j),
- 16.0**(Float(j)*EF.Log(Float(i),16.0)),
- TC_Relative_Error)
- then
- Incorrect_Inverse_Base_16 := True;
- Report.Failed("Incorrect Log-** Inverse calc for Base 16 " &
- "with i= " & Integer'Image(i) & " and j= " &
- Integer'Image(j));
- end if;
- end loop;
- end loop;
- end;
-
- -- Reset Flags.
- Incorrect_Inverse_Base_e := False;
- Incorrect_Inverse_Base_2 := False;
- Incorrect_Inverse_Base_8 := False;
- Incorrect_Inverse_Base_10 := False;
- Incorrect_Inverse_Base_16 := False;
-
-
- -- Testing of Exp Function, both instantiated and pre-instantiated
- -- version.
-
- -- Check that the result of the Exp Function, when provided an X
- -- parameter value of 0.0, is 1.0.
-
- if GEF.Exp(X => 0.0) /= 1.0 or
- EF.Exp(0.0) /= 1.0
- then
- Report.Failed("Incorrect result returned by Function Exp when " &
- "given a parameter value of 0.0");
- end if;
-
-
- -- Check that the Exp Function provides correct results when provided
- -- a variety of input parameter values.
-
- if not Result_Within_Range(GEF.Exp(0.001), 1.01, 0.01) or
- not Result_Within_Range( EF.Exp(0.1), 1.11, 0.01) or
- not Result_Within_Range(GEF.Exp(1.2697), 3.56, 0.01) or
- not Result_Within_Range( EF.Exp(3.2525), 25.9, 0.1) or
- not Result_Within_Range(GEF.Exp(-0.2198), 0.803, 0.001) or
- not Result_Within_Range( EF.Exp(-1.6621), 0.190, 0.001) or
- not Result_Within_Range(GEF.Exp(-2.3888), 0.092, 0.001) or
- not Result_Within_Range( EF.Exp(-5.4415), 0.004, 0.001)
- then
- Report.Failed("Incorrect result from Function Exp when provided " &
- "a variety of input parameter values");
- end if;
-
- -- Use the following loops to check for internal consistency between
- -- inverse functions.
-
- Arg := 0.01;
- while Arg < 10.0 loop
- if not Incorrect_Inverse_Base_e and
- FXA5A00.Result_Within_Range(EF.Exp(Arg),
- e**(Arg*EF.Log(Arg)),
- 0.001)
- then
- Incorrect_Inverse_Base_e := True;
- Report.Failed("Incorrect Exp-** Inverse calc for Base e");
- end if;
- if not Incorrect_Inverse_Base_2 and
- FXA5A00.Result_Within_Range(EF.Exp(Arg),
- 2.0**(Arg*EF.Log(Arg,2.0)),
- 0.001)
- then
- Incorrect_Inverse_Base_2 := True;
- Report.Failed("Incorrect Exp-** Inverse calc for Base 2");
- end if;
- if not Incorrect_Inverse_Base_8 and
- FXA5A00.Result_Within_Range(EF.Exp(Arg),
- 8.0**(Arg*EF.Log(Arg,8.0)),
- 0.001)
- then
- Incorrect_Inverse_Base_8 := True;
- Report.Failed("Incorrect Exp-** Inverse calc for Base 8");
- end if;
- if not Incorrect_Inverse_Base_10 and
- FXA5A00.Result_Within_Range(EF.Exp(Arg),
- 10.0**(Arg*EF.Log(Arg,10.0)),
- 0.001)
- then
- Incorrect_Inverse_Base_10 := True;
- Report.Failed("Incorrect Exp-** Inverse calc for Base 10");
- end if;
- if not Incorrect_Inverse_Base_16 and
- FXA5A00.Result_Within_Range(EF.Exp(Arg),
- 16.0**(Arg*EF.Log(Arg,16.0)),
- 0.001)
- then
- Incorrect_Inverse_Base_16 := True;
- Report.Failed("Incorrect Exp-** Inverse calc for Base 16");
- end if;
- Arg := Arg + 0.01;
- end loop;
-
-
- -- Testing of Sqrt Function, both instantiated and pre-instantiated
- -- version.
-
- -- Check that Argument_Error is raised by the Sqrt Function when
- -- the value of the input parameter X is negative.
-
- begin
- Float_Result := EF.Sqrt(X => -FXA5A00.Small);
- Report.Failed("Argument_Error not raised by Function Sqrt " &
- "when provided a small negative input parameter " &
- "value");
- Dont_Optimize_Float(Float_Result, 7);
- exception
- when Argument_Error => null; -- OK, expected exception.
- when others =>
- Report.Failed("Unexpected exception raised by Function Sqrt " &
- "when provided a small negative input parameter " &
- "value");
- end;
-
- begin
- New_Float_Result := GEF.Sqrt(X => -64.0);
- Report.Failed("Argument_Error not raised by Function Sqrt " &
- "when provided a large negative input parameter " &
- "value");
- Dont_Optimize_New_Float(New_Float_Result, 8);
- exception
- when Argument_Error => null; -- OK, expected exception.
- when others =>
- Report.Failed("Unexpected exception raised by Function Sqrt " &
- "when provided a large negative input parameter " &
- "value");
- end;
-
-
- -- Check that the Sqrt Function, when given an X parameter value of 0.0,
- -- returns a result of 0.0.
-
- if GEF.Sqrt(X => 0.0) /= 0.0 or
- EF.Sqrt(0.0) /= 0.0
- then
- Report.Failed("Incorrect result from Function Sqrt when provided " &
- "an input parameter value of 0.0");
- end if;
-
-
- -- Check that the Sqrt Function, when given an X parameter input value
- -- of 1.0, returns a result of 1.0.
-
- if GEF.Sqrt(X => 1.0) /= 1.0 or
- EF.Sqrt(1.0) /= 1.0
- then
- Report.Failed("Incorrect result from Function Sqrt when provided " &
- "an input parameter value of 1.0");
- end if;
-
-
- -- Check that the Sqrt Function provides correct results when provided
- -- a variety of input parameter values.
-
- if not FXA5A00.Result_Within_Range(GEF.Sqrt(0.0327), 0.181, 0.001) or
- not FXA5A00.Result_Within_Range( EF.Sqrt(0.1808), 0.425, 0.001) or
- not FXA5A00.Result_Within_Range(GEF.Sqrt(1.0556), 1.03, 0.01) or
- not FXA5A00.Result_Within_Range( EF.Sqrt(32.8208), 5.73, 0.01) or
- not FXA5A00.Result_Within_Range( EF.Sqrt(27851.0), 166.9, 0.1) or
- not FXA5A00.Result_Within_Range( EF.Sqrt(61203.4), 247.4, 0.1) or
- not FXA5A00.Result_Within_Range( EF.Sqrt(655891.0), 809.9, 0.1)
- then
- Report.Failed("Incorrect result from Function Sqrt when provided " &
- "a variety of input parameter values");
- end if;
-
- -- Check internal consistency between functions.
-
- Arg := 0.01;
- while Arg < 10.0 loop
- if not Flag_1 and
- not FXA5A00.Result_Within_Range(Arg,
- EF.Sqrt(Arg)*EF.Sqrt(Arg),
- 0.01)
- then
- Report.Failed("Inconsistency found in Case 1");
- Flag_1 := True;
- end if;
- if not Flag_2 and
- not FXA5A00.Result_Within_Range(Arg, EF.Sqrt(Arg)**2.0, 0.01)
- then
- Report.Failed("Inconsistency found in Case 2");
- Flag_2 := True;
- end if;
- if not Flag_3 and
- not FXA5A00.Result_Within_Range(EF.Log(Arg),
- EF.Log(Sqrt(Arg)**2.0), 0.01)
- then
- Report.Failed("Inconsistency found in Case 3");
- Flag_3 := True;
- end if;
- if not Flag_4 and
- not FXA5A00.Result_Within_Range(EF.Log(Arg),
- 2.00*EF.Log(EF.Sqrt(Arg)),
- 0.01)
- then
- Report.Failed("Inconsistency found in Case 4");
- Flag_4 := True;
- end if;
- Arg := Arg + 1.0;
- end loop;
-
-
- exception
- when The_Error : others =>
- Report.Failed ("The following exception was raised in the " &
- "Test_Block: " & Exception_Name(The_Error));
- end Test_Block;
-
- Report.Result;
-
-end CXA5A10;