-- CXG2018.A
|
-- CXG2018.A
|
--
|
--
|
-- Grant of Unlimited Rights
|
-- Grant of Unlimited Rights
|
--
|
--
|
-- Under contracts F33600-87-D-0337, F33600-84-D-0280, MDA903-79-C-0687,
|
-- 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
|
-- 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 in the software and documentation contained herein.
|
-- Unlimited rights are defined in DFAR 252.227-7013(a)(19). By making
|
-- Unlimited rights are defined in DFAR 252.227-7013(a)(19). By making
|
-- this public release, the Government intends to confer upon all
|
-- this public release, the Government intends to confer upon all
|
-- recipients unlimited rights equal to those held by the Government.
|
-- recipients unlimited rights equal to those held by the Government.
|
-- These rights include rights to use, duplicate, release or disclose the
|
-- These rights include rights to use, duplicate, release or disclose the
|
-- released technical data and computer software in whole or in part, in
|
-- 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
|
-- any manner and for any purpose whatsoever, and to have or permit others
|
-- to do so.
|
-- to do so.
|
--
|
--
|
-- DISCLAIMER
|
-- DISCLAIMER
|
--
|
--
|
-- ALL MATERIALS OR INFORMATION HEREIN RELEASED, MADE AVAILABLE OR
|
-- ALL MATERIALS OR INFORMATION HEREIN RELEASED, MADE AVAILABLE OR
|
-- DISCLOSED ARE AS IS. THE GOVERNMENT MAKES NO EXPRESS OR IMPLIED
|
-- DISCLOSED ARE AS IS. THE GOVERNMENT MAKES NO EXPRESS OR IMPLIED
|
-- WARRANTY AS TO ANY MATTER WHATSOEVER, INCLUDING THE CONDITIONS OF THE
|
-- WARRANTY AS TO ANY MATTER WHATSOEVER, INCLUDING THE CONDITIONS OF THE
|
-- SOFTWARE, DOCUMENTATION OR OTHER INFORMATION RELEASED, MADE AVAILABLE
|
-- SOFTWARE, DOCUMENTATION OR OTHER INFORMATION RELEASED, MADE AVAILABLE
|
-- OR DISCLOSED, OR THE OWNERSHIP, MERCHANTABILITY, OR FITNESS FOR A
|
-- OR DISCLOSED, OR THE OWNERSHIP, MERCHANTABILITY, OR FITNESS FOR A
|
-- PARTICULAR PURPOSE OF SAID MATERIAL.
|
-- PARTICULAR PURPOSE OF SAID MATERIAL.
|
--*
|
--*
|
--
|
--
|
-- OBJECTIVE:
|
-- OBJECTIVE:
|
-- Check that the complex EXP function returns
|
-- Check that the complex EXP function returns
|
-- a result that is within the error bound allowed.
|
-- a result that is within the error bound allowed.
|
--
|
--
|
-- TEST DESCRIPTION:
|
-- TEST DESCRIPTION:
|
-- This test consists of a generic package that is
|
-- This test consists of a generic package that is
|
-- instantiated to check complex numbers based upon
|
-- instantiated to check complex numbers based upon
|
-- both Float and a long float type.
|
-- both Float and a long float type.
|
-- The test for each floating point type is divided into
|
-- The test for each floating point type is divided into
|
-- several parts:
|
-- several parts:
|
-- Special value checks where the result is a known constant.
|
-- Special value checks where the result is a known constant.
|
-- Checks that use an identity for determining the result.
|
-- Checks that use an identity for determining the result.
|
--
|
--
|
-- SPECIAL REQUIREMENTS
|
-- SPECIAL REQUIREMENTS
|
-- The Strict Mode for the numerical accuracy must be
|
-- The Strict Mode for the numerical accuracy must be
|
-- selected. The method by which this mode is selected
|
-- selected. The method by which this mode is selected
|
-- is implementation dependent.
|
-- is implementation dependent.
|
--
|
--
|
-- APPLICABILITY CRITERIA:
|
-- APPLICABILITY CRITERIA:
|
-- This test applies only to implementations supporting the
|
-- This test applies only to implementations supporting the
|
-- Numerics Annex.
|
-- Numerics Annex.
|
-- This test only applies to the Strict Mode for numerical
|
-- This test only applies to the Strict Mode for numerical
|
-- accuracy.
|
-- accuracy.
|
--
|
--
|
--
|
--
|
-- CHANGE HISTORY:
|
-- CHANGE HISTORY:
|
-- 21 Mar 96 SAIC Initial release for 2.1
|
-- 21 Mar 96 SAIC Initial release for 2.1
|
-- 17 Aug 96 SAIC Incorporated reviewer comments.
|
-- 17 Aug 96 SAIC Incorporated reviewer comments.
|
-- 27 Aug 99 RLB Repair on the error result of checks.
|
-- 27 Aug 99 RLB Repair on the error result of checks.
|
-- 02 Apr 03 RLB Added code to discard excess precision in the
|
-- 02 Apr 03 RLB Added code to discard excess precision in the
|
-- construction of the test value for the
|
-- construction of the test value for the
|
-- Identity_Test.
|
-- Identity_Test.
|
--
|
--
|
--!
|
--!
|
|
|
--
|
--
|
-- References:
|
-- References:
|
--
|
--
|
-- W. J. Cody
|
-- W. J. Cody
|
-- CELEFUNT: A Portable Test Package for Complex Elementary Functions
|
-- CELEFUNT: A Portable Test Package for Complex Elementary Functions
|
-- Algorithm 714, Collected Algorithms from ACM.
|
-- Algorithm 714, Collected Algorithms from ACM.
|
-- Published in Transactions On Mathematical Software,
|
-- Published in Transactions On Mathematical Software,
|
-- Vol. 19, No. 1, March, 1993, pp. 1-21.
|
-- Vol. 19, No. 1, March, 1993, pp. 1-21.
|
--
|
--
|
-- CRC Standard Mathematical Tables
|
-- CRC Standard Mathematical Tables
|
-- 23rd Edition
|
-- 23rd Edition
|
--
|
--
|
|
|
with System;
|
with System;
|
with Report;
|
with Report;
|
with Ada.Numerics.Generic_Complex_Types;
|
with Ada.Numerics.Generic_Complex_Types;
|
with Ada.Numerics.Generic_Complex_Elementary_Functions;
|
with Ada.Numerics.Generic_Complex_Elementary_Functions;
|
procedure CXG2018 is
|
procedure CXG2018 is
|
Verbose : constant Boolean := False;
|
Verbose : constant Boolean := False;
|
-- Note that Max_Samples is the number of samples taken in
|
-- Note that Max_Samples is the number of samples taken in
|
-- both the real and imaginary directions. Thus, for Max_Samples
|
-- both the real and imaginary directions. Thus, for Max_Samples
|
-- of 100 the number of values checked is 10000.
|
-- of 100 the number of values checked is 10000.
|
Max_Samples : constant := 100;
|
Max_Samples : constant := 100;
|
|
|
E : constant := Ada.Numerics.E;
|
E : constant := Ada.Numerics.E;
|
Pi : constant := Ada.Numerics.Pi;
|
Pi : constant := Ada.Numerics.Pi;
|
|
|
generic
|
generic
|
type Real is digits <>;
|
type Real is digits <>;
|
package Generic_Check is
|
package Generic_Check is
|
procedure Do_Test;
|
procedure Do_Test;
|
end Generic_Check;
|
end Generic_Check;
|
|
|
package body Generic_Check is
|
package body Generic_Check is
|
package Complex_Type is new
|
package Complex_Type is new
|
Ada.Numerics.Generic_Complex_Types (Real);
|
Ada.Numerics.Generic_Complex_Types (Real);
|
use Complex_Type;
|
use Complex_Type;
|
|
|
package CEF is new
|
package CEF is new
|
Ada.Numerics.Generic_Complex_Elementary_Functions (Complex_Type);
|
Ada.Numerics.Generic_Complex_Elementary_Functions (Complex_Type);
|
|
|
function Exp (X : Complex) return Complex renames CEF.Exp;
|
function Exp (X : Complex) return Complex renames CEF.Exp;
|
function Exp (X : Imaginary) return Complex renames CEF.Exp;
|
function Exp (X : Imaginary) return Complex renames CEF.Exp;
|
|
|
-- flag used to terminate some tests early
|
-- flag used to terminate some tests early
|
Accuracy_Error_Reported : Boolean := False;
|
Accuracy_Error_Reported : Boolean := False;
|
|
|
|
|
-- The following value is a lower bound on the accuracy
|
-- The following value is a lower bound on the accuracy
|
-- required. It is normally 0.0 so that the lower bound
|
-- required. It is normally 0.0 so that the lower bound
|
-- is computed from Model_Epsilon. However, for tests
|
-- is computed from Model_Epsilon. However, for tests
|
-- where the expected result is only known to a certain
|
-- where the expected result is only known to a certain
|
-- amount of precision this bound takes on a non-zero
|
-- amount of precision this bound takes on a non-zero
|
-- value to account for that level of precision.
|
-- value to account for that level of precision.
|
Error_Low_Bound : Real := 0.0;
|
Error_Low_Bound : Real := 0.0;
|
|
|
procedure Check (Actual, Expected : Real;
|
procedure Check (Actual, Expected : Real;
|
Test_Name : String;
|
Test_Name : String;
|
MRE : Real) is
|
MRE : Real) is
|
Max_Error : Real;
|
Max_Error : Real;
|
Rel_Error : Real;
|
Rel_Error : Real;
|
Abs_Error : Real;
|
Abs_Error : Real;
|
begin
|
begin
|
-- In the case where the expected result is very small or 0
|
-- In the case where the expected result is very small or 0
|
-- we compute the maximum error as a multiple of Model_Small instead
|
-- we compute the maximum error as a multiple of Model_Small instead
|
-- of Model_Epsilon and Expected.
|
-- of Model_Epsilon and Expected.
|
Rel_Error := MRE * abs Expected * Real'Model_Epsilon;
|
Rel_Error := MRE * abs Expected * Real'Model_Epsilon;
|
Abs_Error := MRE * Real'Model_Small;
|
Abs_Error := MRE * Real'Model_Small;
|
if Rel_Error > Abs_Error then
|
if Rel_Error > Abs_Error then
|
Max_Error := Rel_Error;
|
Max_Error := Rel_Error;
|
else
|
else
|
Max_Error := Abs_Error;
|
Max_Error := Abs_Error;
|
end if;
|
end if;
|
|
|
-- take into account the low bound on the error
|
-- take into account the low bound on the error
|
if Max_Error < Error_Low_Bound then
|
if Max_Error < Error_Low_Bound then
|
Max_Error := Error_Low_Bound;
|
Max_Error := Error_Low_Bound;
|
end if;
|
end if;
|
|
|
if abs (Actual - Expected) > Max_Error then
|
if abs (Actual - Expected) > Max_Error then
|
Accuracy_Error_Reported := True;
|
Accuracy_Error_Reported := True;
|
Report.Failed (Test_Name &
|
Report.Failed (Test_Name &
|
" actual: " & Real'Image (Actual) &
|
" actual: " & Real'Image (Actual) &
|
" expected: " & Real'Image (Expected) &
|
" expected: " & Real'Image (Expected) &
|
" difference: " & Real'Image (Actual - Expected) &
|
" difference: " & Real'Image (Actual - Expected) &
|
" max err:" & Real'Image (Max_Error) );
|
" max err:" & Real'Image (Max_Error) );
|
elsif Verbose then
|
elsif Verbose then
|
if Actual = Expected then
|
if Actual = Expected then
|
Report.Comment (Test_Name & " exact result");
|
Report.Comment (Test_Name & " exact result");
|
else
|
else
|
Report.Comment (Test_Name & " passed");
|
Report.Comment (Test_Name & " passed");
|
end if;
|
end if;
|
end if;
|
end if;
|
end Check;
|
end Check;
|
|
|
|
|
procedure Check (Actual, Expected : Complex;
|
procedure Check (Actual, Expected : Complex;
|
Test_Name : String;
|
Test_Name : String;
|
MRE : Real) is
|
MRE : Real) is
|
begin
|
begin
|
Check (Actual.Re, Expected.Re, Test_Name & " real part", MRE);
|
Check (Actual.Re, Expected.Re, Test_Name & " real part", MRE);
|
Check (Actual.Im, Expected.Im, Test_Name & " imaginary part", MRE);
|
Check (Actual.Im, Expected.Im, Test_Name & " imaginary part", MRE);
|
end Check;
|
end Check;
|
|
|
|
|
procedure Special_Value_Test is
|
procedure Special_Value_Test is
|
-- In the following tests the expected result is accurate
|
-- In the following tests the expected result is accurate
|
-- to the machine precision so the minimum guaranteed error
|
-- to the machine precision so the minimum guaranteed error
|
-- bound can be used.
|
-- bound can be used.
|
--
|
--
|
-- The error bounds given assumed z is exact. When using
|
-- The error bounds given assumed z is exact. When using
|
-- pi there is an extra error of 1.0ME.
|
-- pi there is an extra error of 1.0ME.
|
-- The pi inside the exp call requires that the complex
|
-- The pi inside the exp call requires that the complex
|
-- component have an extra error allowance of 1.0*angle*ME.
|
-- component have an extra error allowance of 1.0*angle*ME.
|
-- Thus for pi/2,the Minimum_Error_I is
|
-- Thus for pi/2,the Minimum_Error_I is
|
-- (2.0 + 1.0(pi/2))ME <= 3.6ME.
|
-- (2.0 + 1.0(pi/2))ME <= 3.6ME.
|
-- For pi, it is (2.0 + 1.0*pi)ME <= 5.2ME,
|
-- For pi, it is (2.0 + 1.0*pi)ME <= 5.2ME,
|
-- and for 2pi, it is (2.0 + 1.0(2pi))ME <= 8.3ME.
|
-- and for 2pi, it is (2.0 + 1.0(2pi))ME <= 8.3ME.
|
|
|
-- The addition of 1 or i to a result is so that neither of
|
-- The addition of 1 or i to a result is so that neither of
|
-- the components of an expected result is 0. This is so
|
-- the components of an expected result is 0. This is so
|
-- that a reasonable relative error is allowed.
|
-- that a reasonable relative error is allowed.
|
Minimum_Error_C : constant := 7.0; -- for exp(Complex)
|
Minimum_Error_C : constant := 7.0; -- for exp(Complex)
|
Minimum_Error_I : constant := 2.0; -- for exp(Imaginary)
|
Minimum_Error_I : constant := 2.0; -- for exp(Imaginary)
|
begin
|
begin
|
Check (Exp (1.0 + 0.0*i) + i,
|
Check (Exp (1.0 + 0.0*i) + i,
|
E + i,
|
E + i,
|
"exp(1+0i)",
|
"exp(1+0i)",
|
Minimum_Error_C);
|
Minimum_Error_C);
|
Check (Exp ((Pi / 2.0) * i) + 1.0,
|
Check (Exp ((Pi / 2.0) * i) + 1.0,
|
1.0 + 1.0*i,
|
1.0 + 1.0*i,
|
"exp(pi/2*i)",
|
"exp(pi/2*i)",
|
3.6);
|
3.6);
|
Check (Exp (Pi * i) + i,
|
Check (Exp (Pi * i) + i,
|
-1.0 + 1.0*i,
|
-1.0 + 1.0*i,
|
"exp(pi*i)",
|
"exp(pi*i)",
|
5.2);
|
5.2);
|
Check (Exp (Pi * 2.0 * i) + i,
|
Check (Exp (Pi * 2.0 * i) + i,
|
1.0 + i,
|
1.0 + i,
|
"exp(2pi*i)",
|
"exp(2pi*i)",
|
8.3);
|
8.3);
|
exception
|
exception
|
when Constraint_Error =>
|
when Constraint_Error =>
|
Report.Failed ("Constraint_Error raised in special value test");
|
Report.Failed ("Constraint_Error raised in special value test");
|
when others =>
|
when others =>
|
Report.Failed ("exception in special value test");
|
Report.Failed ("exception in special value test");
|
end Special_Value_Test;
|
end Special_Value_Test;
|
|
|
|
|
|
|
procedure Exact_Result_Test is
|
procedure Exact_Result_Test is
|
No_Error : constant := 0.0;
|
No_Error : constant := 0.0;
|
begin
|
begin
|
-- G.1.2(36);6.0
|
-- G.1.2(36);6.0
|
Check (Exp(0.0 + 0.0*i), 1.0 + 0.0 * i, "exp(0+0i)", No_Error);
|
Check (Exp(0.0 + 0.0*i), 1.0 + 0.0 * i, "exp(0+0i)", No_Error);
|
Check (Exp( 0.0*i), 1.0 + 0.0 * i, "exp(0i)", No_Error);
|
Check (Exp( 0.0*i), 1.0 + 0.0 * i, "exp(0i)", No_Error);
|
exception
|
exception
|
when Constraint_Error =>
|
when Constraint_Error =>
|
Report.Failed ("Constraint_Error raised in Exact_Result Test");
|
Report.Failed ("Constraint_Error raised in Exact_Result Test");
|
when others =>
|
when others =>
|
Report.Failed ("exception in Exact_Result Test");
|
Report.Failed ("exception in Exact_Result Test");
|
end Exact_Result_Test;
|
end Exact_Result_Test;
|
|
|
|
|
procedure Identity_Test (A, B : Real) is
|
procedure Identity_Test (A, B : Real) is
|
-- For this test we use the identity
|
-- For this test we use the identity
|
-- Exp(Z) = Exp(Z-W) * Exp (W)
|
-- Exp(Z) = Exp(Z-W) * Exp (W)
|
-- where W = (1+i)/16
|
-- where W = (1+i)/16
|
--
|
--
|
-- The second part of this test checks the identity
|
-- The second part of this test checks the identity
|
-- Exp(Z) * Exp(-Z) = 1
|
-- Exp(Z) * Exp(-Z) = 1
|
--
|
--
|
|
|
X, Y : Complex;
|
X, Y : Complex;
|
Actual1, Actual2 : Complex;
|
Actual1, Actual2 : Complex;
|
W : constant Complex := (0.0625, 0.0625);
|
W : constant Complex := (0.0625, 0.0625);
|
-- the following constant was taken from the CELEFUNC EXP test.
|
-- the following constant was taken from the CELEFUNC EXP test.
|
-- This is the value EXP(W) - 1
|
-- This is the value EXP(W) - 1
|
C : constant Complex := (6.2416044877018563681e-2,
|
C : constant Complex := (6.2416044877018563681e-2,
|
6.6487597751003112768e-2);
|
6.6487597751003112768e-2);
|
begin
|
begin
|
if Real'Digits > 20 then
|
if Real'Digits > 20 then
|
-- constant ExpW is accurate to 20 digits.
|
-- constant ExpW is accurate to 20 digits.
|
-- The low bound is 19 * 10**-20
|
-- The low bound is 19 * 10**-20
|
Error_Low_Bound := 0.00000_00000_00019;
|
Error_Low_Bound := 0.00000_00000_00019;
|
Report.Comment ("complex exp accuracy checked to 20 digits");
|
Report.Comment ("complex exp accuracy checked to 20 digits");
|
end if;
|
end if;
|
|
|
Accuracy_Error_Reported := False; -- reset
|
Accuracy_Error_Reported := False; -- reset
|
for II in 1..Max_Samples loop
|
for II in 1..Max_Samples loop
|
X.Re := Real'Machine ((B - A) * Real (II) / Real (Max_Samples)
|
X.Re := Real'Machine ((B - A) * Real (II) / Real (Max_Samples)
|
+ A);
|
+ A);
|
for J in 1..Max_Samples loop
|
for J in 1..Max_Samples loop
|
X.Im := Real'Machine ((B - A) * Real (J) / Real (Max_Samples)
|
X.Im := Real'Machine ((B - A) * Real (J) / Real (Max_Samples)
|
+ A);
|
+ A);
|
|
|
Actual1 := Exp(X);
|
Actual1 := Exp(X);
|
|
|
-- Exp(X) = Exp(X-W) * Exp (W)
|
-- Exp(X) = Exp(X-W) * Exp (W)
|
-- = Exp(X-W) * (1 - (1-Exp(W))
|
-- = Exp(X-W) * (1 - (1-Exp(W))
|
-- = Exp(X-W) * (1 + (Exp(W) - 1))
|
-- = Exp(X-W) * (1 + (Exp(W) - 1))
|
-- = Exp(X-W) * (1 + C)
|
-- = Exp(X-W) * (1 + C)
|
Y := X - W;
|
Y := X - W;
|
Actual2 := Exp(Y);
|
Actual2 := Exp(Y);
|
Actual2 := Actual2 + Actual2 * C;
|
Actual2 := Actual2 + Actual2 * C;
|
|
|
Check (Actual1, Actual2,
|
Check (Actual1, Actual2,
|
"Identity_1_Test " & Integer'Image (II) &
|
"Identity_1_Test " & Integer'Image (II) &
|
Integer'Image (J) & ": Exp((" &
|
Integer'Image (J) & ": Exp((" &
|
Real'Image (X.Re) & ", " &
|
Real'Image (X.Re) & ", " &
|
Real'Image (X.Im) & ")) ",
|
Real'Image (X.Im) & ")) ",
|
20.0); -- 2 exp and 1 multiply and 1 add = 2*7+1*5+1
|
20.0); -- 2 exp and 1 multiply and 1 add = 2*7+1*5+1
|
-- Note: The above is not strictly correct, as multiply
|
-- Note: The above is not strictly correct, as multiply
|
-- has a box error, rather than a relative error.
|
-- has a box error, rather than a relative error.
|
-- Supposedly, the interval is chosen to avoid the need
|
-- Supposedly, the interval is chosen to avoid the need
|
-- to worry about this.
|
-- to worry about this.
|
|
|
-- Exp(X) * Exp(-X) + i = 1 + i
|
-- Exp(X) * Exp(-X) + i = 1 + i
|
-- The addition of i is to allow a reasonable relative
|
-- The addition of i is to allow a reasonable relative
|
-- error in the imaginary part
|
-- error in the imaginary part
|
Actual2 := (Actual1 * Exp(-X)) + i;
|
Actual2 := (Actual1 * Exp(-X)) + i;
|
Check (Actual2, (1.0, 1.0),
|
Check (Actual2, (1.0, 1.0),
|
"Identity_2_Test " & Integer'Image (II) &
|
"Identity_2_Test " & Integer'Image (II) &
|
Integer'Image (J) & ": Exp((" &
|
Integer'Image (J) & ": Exp((" &
|
Real'Image (X.Re) & ", " &
|
Real'Image (X.Re) & ", " &
|
Real'Image (X.Im) & ")) ",
|
Real'Image (X.Im) & ")) ",
|
20.0); -- 2 exp and 1 multiply and one add = 2*7+1*5+1
|
20.0); -- 2 exp and 1 multiply and one add = 2*7+1*5+1
|
|
|
if Accuracy_Error_Reported then
|
if Accuracy_Error_Reported then
|
-- only report the first error in this test in order to keep
|
-- only report the first error in this test in order to keep
|
-- lots of failures from producing a huge error log
|
-- lots of failures from producing a huge error log
|
return;
|
return;
|
end if;
|
end if;
|
end loop;
|
end loop;
|
end loop;
|
end loop;
|
Error_Low_Bound := 0.0;
|
Error_Low_Bound := 0.0;
|
exception
|
exception
|
when Constraint_Error =>
|
when Constraint_Error =>
|
Report.Failed
|
Report.Failed
|
("Constraint_Error raised in Identity_Test" &
|
("Constraint_Error raised in Identity_Test" &
|
" for X=(" & Real'Image (X.Re) &
|
" for X=(" & Real'Image (X.Re) &
|
", " & Real'Image (X.Im) & ")");
|
", " & Real'Image (X.Im) & ")");
|
when others =>
|
when others =>
|
Report.Failed ("exception in Identity_Test" &
|
Report.Failed ("exception in Identity_Test" &
|
" for X=(" & Real'Image (X.Re) &
|
" for X=(" & Real'Image (X.Re) &
|
", " & Real'Image (X.Im) & ")");
|
", " & Real'Image (X.Im) & ")");
|
end Identity_Test;
|
end Identity_Test;
|
|
|
|
|
|
|
procedure Do_Test is
|
procedure Do_Test is
|
begin
|
begin
|
Special_Value_Test;
|
Special_Value_Test;
|
Exact_Result_Test;
|
Exact_Result_Test;
|
-- test regions where we can avoid cancellation error problems
|
-- test regions where we can avoid cancellation error problems
|
-- See Cody page 10.
|
-- See Cody page 10.
|
Identity_Test (0.0625, 1.0);
|
Identity_Test (0.0625, 1.0);
|
Identity_Test (15.0, 17.0);
|
Identity_Test (15.0, 17.0);
|
Identity_Test (1.625, 3.0);
|
Identity_Test (1.625, 3.0);
|
end Do_Test;
|
end Do_Test;
|
end Generic_Check;
|
end Generic_Check;
|
|
|
-----------------------------------------------------------------------
|
-----------------------------------------------------------------------
|
-----------------------------------------------------------------------
|
-----------------------------------------------------------------------
|
package Float_Check is new Generic_Check (Float);
|
package Float_Check is new Generic_Check (Float);
|
|
|
-- check the floating point type with the most digits
|
-- check the floating point type with the most digits
|
type A_Long_Float is digits System.Max_Digits;
|
type A_Long_Float is digits System.Max_Digits;
|
package A_Long_Float_Check is new Generic_Check (A_Long_Float);
|
package A_Long_Float_Check is new Generic_Check (A_Long_Float);
|
|
|
-----------------------------------------------------------------------
|
-----------------------------------------------------------------------
|
-----------------------------------------------------------------------
|
-----------------------------------------------------------------------
|
|
|
|
|
begin
|
begin
|
Report.Test ("CXG2018",
|
Report.Test ("CXG2018",
|
"Check the accuracy of the complex EXP function");
|
"Check the accuracy of the complex EXP function");
|
|
|
if Verbose then
|
if Verbose then
|
Report.Comment ("checking Standard.Float");
|
Report.Comment ("checking Standard.Float");
|
end if;
|
end if;
|
|
|
Float_Check.Do_Test;
|
Float_Check.Do_Test;
|
|
|
if Verbose then
|
if Verbose then
|
Report.Comment ("checking a digits" &
|
Report.Comment ("checking a digits" &
|
Integer'Image (System.Max_Digits) &
|
Integer'Image (System.Max_Digits) &
|
" floating point type");
|
" floating point type");
|
end if;
|
end if;
|
|
|
A_Long_Float_Check.Do_Test;
|
A_Long_Float_Check.Do_Test;
|
|
|
|
|
Report.Result;
|
Report.Result;
|
end CXG2018;
|
end CXG2018;
|
|
|