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Diffstat (limited to 'gcc/testsuite/ada/acats/tests/cxg/cxg2008.a')
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diff --git a/gcc/testsuite/ada/acats/tests/cxg/cxg2008.a b/gcc/testsuite/ada/acats/tests/cxg/cxg2008.a deleted file mode 100644 index 58cf367f61c..00000000000 --- a/gcc/testsuite/ada/acats/tests/cxg/cxg2008.a +++ /dev/null @@ -1,948 +0,0 @@ --- CXG2008.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 complex multiplication and division --- operations return results that are within the allowed --- error bound. --- Check that all the required pure Numerics packages are pure. --- --- TEST DESCRIPTION: --- This test contains three test packages that are almost --- identical. The first two packages differ only in the --- floating point type that is being tested. The first --- and third package differ only in whether the generic --- complex types package or the pre-instantiated --- package is used. --- The test package is not generic so that the arguments --- and expected results for some of the test values --- can be expressed as universal real instead of being --- computed at runtime. --- --- SPECIAL REQUIREMENTS --- The Strict Mode for the numerical accuracy must be --- selected. The method by which this mode is selected --- is implementation dependent. --- --- APPLICABILITY CRITERIA: --- This test applies only to implementations supporting the --- Numerics Annex. --- This test only applies to the Strict Mode for numerical --- accuracy. --- --- --- CHANGE HISTORY: --- 24 FEB 96 SAIC Initial release for 2.1 --- 03 JUN 98 EDS Correct the test program's incorrect assumption --- that Constraint_Error must be raised by complex --- division by zero, which is contrary to the --- allowance given by the Ada 95 standard G.1.1(40). --- 13 MAR 01 RLB Replaced commented out Pure check on non-generic --- packages, as required by Defect Report --- 8652/0020 and as reflected in Technical --- Corrigendum 1. ---! - ------------------------------------------------------------------------------- --- Check that the required pure packages are pure by withing them from a --- pure package. The non-generic versions of those packages are required to --- be pure by Defect Report 8652/0020, Technical Corrigendum 1 [A.5.1(9/1) and --- G.1.1(25/1)]. -with Ada.Numerics.Generic_Elementary_Functions; -with Ada.Numerics.Elementary_Functions; -with Ada.Numerics.Generic_Complex_Types; -with Ada.Numerics.Complex_Types; -with Ada.Numerics.Generic_Complex_Elementary_Functions; -with Ada.Numerics.Complex_Elementary_Functions; -package CXG2008_0 is - pragma Pure; - -- CRC Standard Mathematical Tables; 23rd Edition; pg 738 - Sqrt2 : constant := - 1.41421_35623_73095_04880_16887_24209_69807_85696_71875_37695; - Sqrt3 : constant := - 1.73205_08075_68877_29352_74463_41505_87236_69428_05253_81039; -end CXG2008_0; - ------------------------------------------------------------------------------- - -with System; -with Report; -with Ada.Numerics.Generic_Complex_Types; -with Ada.Numerics.Complex_Types; -with CXG2008_0; use CXG2008_0; -procedure CXG2008 is - Verbose : constant Boolean := False; - - package Float_Check is - subtype Real is Float; - procedure Do_Test; - end Float_Check; - - package body Float_Check is - package Complex_Types is new - Ada.Numerics.Generic_Complex_Types (Real); - use Complex_Types; - - -- keep track if an accuracy failure has occurred so the test - -- can be short-circuited to avoid thousands of error messages. - Failure_Detected : Boolean := False; - - Mult_MBE : constant Real := 5.0; - Divide_MBE : constant Real := 13.0; - - - procedure Check (Actual, Expected : Complex; - Test_Name : String; - MBE : Real) is - Rel_Error : Real; - Abs_Error : Real; - Max_Error : Real; - begin - -- In the case where the expected result is very small or 0 - -- we compute the maximum error as a multiple of Model_Epsilon instead - -- of Model_Epsilon and Expected. - Rel_Error := MBE * abs Expected.Re * Real'Model_Epsilon; - Abs_Error := MBE * Real'Model_Epsilon; - if Rel_Error > Abs_Error then - Max_Error := Rel_Error; - else - Max_Error := Abs_Error; - end if; - - if abs (Actual.Re - Expected.Re) > Max_Error then - Failure_Detected := True; - Report.Failed (Test_Name & - " actual.re: " & Real'Image (Actual.Re) & - " expected.re: " & Real'Image (Expected.Re) & - " difference.re " & - Real'Image (Actual.Re - Expected.Re) & - " mre:" & Real'Image (Max_Error) ); - elsif Verbose then - if Actual = Expected then - Report.Comment (Test_Name & " exact result for real part"); - else - Report.Comment (Test_Name & " passed for real part"); - end if; - end if; - - Rel_Error := MBE * abs Expected.Im * Real'Model_Epsilon; - if Rel_Error > Abs_Error then - Max_Error := Rel_Error; - else - Max_Error := Abs_Error; - end if; - if abs (Actual.Im - Expected.Im) > Max_Error then - Failure_Detected := True; - Report.Failed (Test_Name & - " actual.im: " & Real'Image (Actual.Im) & - " expected.im: " & Real'Image (Expected.Im) & - " difference.im " & - Real'Image (Actual.Im - Expected.Im) & - " mre:" & Real'Image (Max_Error) ); - elsif Verbose then - if Actual = Expected then - Report.Comment (Test_Name & " exact result for imaginary part"); - else - Report.Comment (Test_Name & " passed for imaginary part"); - end if; - end if; - end Check; - - - procedure Special_Values is - begin - - --- test 1 --- - declare - T : constant := (Real'Machine_EMax - 1) / 2; - Big : constant := (1.0 * Real'Machine_Radix) ** (2 * T); - Expected : Complex := (0.0, 0.0); - X : Complex := (0.0, 0.0); - Y : Complex := (Big, Big); - Z : Complex; - begin - Z := X * Y; - Check (Z, Expected, "test 1a -- (0+0i) * (big+big*i)", - Mult_MBE); - Z := Y * X; - Check (Z, Expected, "test 1b -- (big+big*i) * (0+0i)", - Mult_MBE); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 1"); - when others => - Report.Failed ("exception in test 1"); - end; - - --- test 2 --- - declare - T : constant := Real'Model_EMin + 1; - Tiny : constant := (1.0 * Real'Machine_Radix) ** T; - U : Complex := (Tiny, Tiny); - X : Complex := (0.0, 0.0); - Expected : Complex := (0.0, 0.0); - Z : Complex; - begin - Z := U * X; - Check (Z, Expected, "test 2 -- (tiny,tiny) * (0,0)", - Mult_MBE); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 2"); - when others => - Report.Failed ("exception in test 2"); - end; - - --- test 3 --- - declare - T : constant := (Real'Machine_EMax - 1) / 2; - Big : constant := (1.0 * Real'Machine_Radix) ** (2 * T); - B : Complex := (Big, Big); - X : Complex := (0.0, 0.0); - Z : Complex; - begin - if Real'Machine_Overflows then - Z := B / X; - Report.Failed ("test 3 - Constraint_Error not raised"); - Check (Z, Z, "not executed - optimizer thwarting", 0.0); - end if; - exception - when Constraint_Error => null; -- expected - when others => - Report.Failed ("exception in test 3"); - end; - - --- test 4 --- - declare - T : constant := Real'Model_EMin + 1; - Tiny : constant := (1.0 * Real'Machine_Radix) ** T; - U : Complex := (Tiny, Tiny); - X : Complex := (0.0, 0.0); - Z : Complex; - begin - if Real'Machine_Overflows then - Z := U / X; - Report.Failed ("test 4 - Constraint_Error not raised"); - Check (Z, Z, "not executed - optimizer thwarting", 0.0); - end if; - exception - when Constraint_Error => null; -- expected - when others => - Report.Failed ("exception in test 4"); - end; - - - --- test 5 --- - declare - X : Complex := (Sqrt2, Sqrt2); - Z : Complex; - Expected : constant Complex := (0.0, 4.0); - begin - Z := X * X; - Check (Z, Expected, "test 5 -- (sqrt2,sqrt2) * (sqrt2,sqrt2)", - Mult_MBE); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 5"); - when others => - Report.Failed ("exception in test 5"); - end; - - --- test 6 --- - declare - X : Complex := Sqrt3 - Sqrt3 * i; - Z : Complex; - Expected : constant Complex := (0.0, -6.0); - begin - Z := X * X; - Check (Z, Expected, "test 6 -- (sqrt3,-sqrt3) * (sqrt3,-sqrt3)", - Mult_MBE); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 6"); - when others => - Report.Failed ("exception in test 6"); - end; - - --- test 7 --- - declare - X : Complex := Sqrt2 + Sqrt2 * i; - Y : Complex := Sqrt2 - Sqrt2 * i; - Z : Complex; - Expected : constant Complex := 0.0 + i; - begin - Z := X / Y; - Check (Z, Expected, "test 7 -- (sqrt2,sqrt2) / (sqrt2,-sqrt2)", - Divide_MBE); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 7"); - when others => - Report.Failed ("exception in test 7"); - end; - end Special_Values; - - - procedure Do_Mult_Div (X, Y : Complex) is - Z : Complex; - Args : constant String := - "X=(" & Real'Image (X.Re) & "," & Real'Image (X.Im) & ") " & - "Y=(" & Real'Image (Y.Re) & "," & Real'Image (Y.Im) & ") " ; - begin - Z := (X * X) / X; - Check (Z, X, "X*X/X " & Args, Mult_MBE + Divide_MBE); - Z := (X * Y) / X; - Check (Z, Y, "X*Y/X " & Args, Mult_MBE + Divide_MBE); - Z := (X * Y) / Y; - Check (Z, X, "X*Y/Y " & Args, Mult_MBE + Divide_MBE); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error in Do_Mult_Div for " & Args); - when others => - Report.Failed ("exception in Do_Mult_Div for " & Args); - end Do_Mult_Div; - - -- select complex values X and Y where the real and imaginary - -- parts are selected from the ranges (1/radix..1) and - -- (1..radix). This translates into quite a few combinations. - procedure Mult_Div_Check is - Samples : constant := 17; - Radix : constant Real := Real(Real'Machine_Radix); - Inv_Radix : constant Real := 1.0 / Real(Real'Machine_Radix); - Low_Sample : Real; -- (1/radix .. 1) - High_Sample : Real; -- (1 .. radix) - Sample : array (1..2) of Real; - X, Y : Complex; - begin - for I in 1 .. Samples loop - Low_Sample := (1.0 - Inv_Radix) / Real (Samples) * Real (I) + - Inv_Radix; - Sample (1) := Low_Sample; - for J in 1 .. Samples loop - High_Sample := (Radix - 1.0) / Real (Samples) * Real (I) + - Radix; - Sample (2) := High_Sample; - for K in 1 .. 2 loop - for L in 1 .. 2 loop - X := Complex'(Sample (K), Sample (L)); - Y := Complex'(Sample (L), Sample (K)); - Do_Mult_Div (X, Y); - if Failure_Detected then - return; -- minimize flood of error messages - end if; - end loop; - end loop; - end loop; -- J - end loop; -- I - end Mult_Div_Check; - - - procedure Do_Test is - begin - Special_Values; - Mult_Div_Check; - end Do_Test; - end Float_Check; - - ----------------------------------------------------------------------- - ----------------------------------------------------------------------- - -- check the floating point type with the most digits - - package A_Long_Float_Check is - type A_Long_Float is digits System.Max_Digits; - subtype Real is A_Long_Float; - procedure Do_Test; - end A_Long_Float_Check; - - package body A_Long_Float_Check is - - package Complex_Types is new - Ada.Numerics.Generic_Complex_Types (Real); - use Complex_Types; - - -- keep track if an accuracy failure has occurred so the test - -- can be short-circuited to avoid thousands of error messages. - Failure_Detected : Boolean := False; - - Mult_MBE : constant Real := 5.0; - Divide_MBE : constant Real := 13.0; - - - procedure Check (Actual, Expected : Complex; - Test_Name : String; - MBE : Real) is - Rel_Error : Real; - Abs_Error : Real; - Max_Error : Real; - begin - -- In the case where the expected result is very small or 0 - -- we compute the maximum error as a multiple of Model_Epsilon instead - -- of Model_Epsilon and Expected. - Rel_Error := MBE * abs Expected.Re * Real'Model_Epsilon; - Abs_Error := MBE * Real'Model_Epsilon; - if Rel_Error > Abs_Error then - Max_Error := Rel_Error; - else - Max_Error := Abs_Error; - end if; - - if abs (Actual.Re - Expected.Re) > Max_Error then - Failure_Detected := True; - Report.Failed (Test_Name & - " actual.re: " & Real'Image (Actual.Re) & - " expected.re: " & Real'Image (Expected.Re) & - " difference.re " & - Real'Image (Actual.Re - Expected.Re) & - " mre:" & Real'Image (Max_Error) ); - elsif Verbose then - if Actual = Expected then - Report.Comment (Test_Name & " exact result for real part"); - else - Report.Comment (Test_Name & " passed for real part"); - end if; - end if; - - Rel_Error := MBE * abs Expected.Im * Real'Model_Epsilon; - if Rel_Error > Abs_Error then - Max_Error := Rel_Error; - else - Max_Error := Abs_Error; - end if; - if abs (Actual.Im - Expected.Im) > Max_Error then - Failure_Detected := True; - Report.Failed (Test_Name & - " actual.im: " & Real'Image (Actual.Im) & - " expected.im: " & Real'Image (Expected.Im) & - " difference.im " & - Real'Image (Actual.Im - Expected.Im) & - " mre:" & Real'Image (Max_Error) ); - elsif Verbose then - if Actual = Expected then - Report.Comment (Test_Name & " exact result for imaginary part"); - else - Report.Comment (Test_Name & " passed for imaginary part"); - end if; - end if; - end Check; - - - procedure Special_Values is - begin - - --- test 1 --- - declare - T : constant := (Real'Machine_EMax - 1) / 2; - Big : constant := (1.0 * Real'Machine_Radix) ** (2 * T); - Expected : Complex := (0.0, 0.0); - X : Complex := (0.0, 0.0); - Y : Complex := (Big, Big); - Z : Complex; - begin - Z := X * Y; - Check (Z, Expected, "test 1a -- (0+0i) * (big+big*i)", - Mult_MBE); - Z := Y * X; - Check (Z, Expected, "test 1b -- (big+big*i) * (0+0i)", - Mult_MBE); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 1"); - when others => - Report.Failed ("exception in test 1"); - end; - - --- test 2 --- - declare - T : constant := Real'Model_EMin + 1; - Tiny : constant := (1.0 * Real'Machine_Radix) ** T; - U : Complex := (Tiny, Tiny); - X : Complex := (0.0, 0.0); - Expected : Complex := (0.0, 0.0); - Z : Complex; - begin - Z := U * X; - Check (Z, Expected, "test 2 -- (tiny,tiny) * (0,0)", - Mult_MBE); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 2"); - when others => - Report.Failed ("exception in test 2"); - end; - - --- test 3 --- - declare - T : constant := (Real'Machine_EMax - 1) / 2; - Big : constant := (1.0 * Real'Machine_Radix) ** (2 * T); - B : Complex := (Big, Big); - X : Complex := (0.0, 0.0); - Z : Complex; - begin - if Real'Machine_Overflows then - Z := B / X; - Report.Failed ("test 3 - Constraint_Error not raised"); - Check (Z, Z, "not executed - optimizer thwarting", 0.0); - end if; - exception - when Constraint_Error => null; -- expected - when others => - Report.Failed ("exception in test 3"); - end; - - --- test 4 --- - declare - T : constant := Real'Model_EMin + 1; - Tiny : constant := (1.0 * Real'Machine_Radix) ** T; - U : Complex := (Tiny, Tiny); - X : Complex := (0.0, 0.0); - Z : Complex; - begin - if Real'Machine_Overflows then - Z := U / X; - Report.Failed ("test 4 - Constraint_Error not raised"); - Check (Z, Z, "not executed - optimizer thwarting", 0.0); - end if; - exception - when Constraint_Error => null; -- expected - when others => - Report.Failed ("exception in test 4"); - end; - - - --- test 5 --- - declare - X : Complex := (Sqrt2, Sqrt2); - Z : Complex; - Expected : constant Complex := (0.0, 4.0); - begin - Z := X * X; - Check (Z, Expected, "test 5 -- (sqrt2,sqrt2) * (sqrt2,sqrt2)", - Mult_MBE); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 5"); - when others => - Report.Failed ("exception in test 5"); - end; - - --- test 6 --- - declare - X : Complex := Sqrt3 - Sqrt3 * i; - Z : Complex; - Expected : constant Complex := (0.0, -6.0); - begin - Z := X * X; - Check (Z, Expected, "test 6 -- (sqrt3,-sqrt3) * (sqrt3,-sqrt3)", - Mult_MBE); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 6"); - when others => - Report.Failed ("exception in test 6"); - end; - - --- test 7 --- - declare - X : Complex := Sqrt2 + Sqrt2 * i; - Y : Complex := Sqrt2 - Sqrt2 * i; - Z : Complex; - Expected : constant Complex := 0.0 + i; - begin - Z := X / Y; - Check (Z, Expected, "test 7 -- (sqrt2,sqrt2) / (sqrt2,-sqrt2)", - Divide_MBE); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 7"); - when others => - Report.Failed ("exception in test 7"); - end; - end Special_Values; - - - procedure Do_Mult_Div (X, Y : Complex) is - Z : Complex; - Args : constant String := - "X=(" & Real'Image (X.Re) & "," & Real'Image (X.Im) & ") " & - "Y=(" & Real'Image (Y.Re) & "," & Real'Image (Y.Im) & ") " ; - begin - Z := (X * X) / X; - Check (Z, X, "X*X/X " & Args, Mult_MBE + Divide_MBE); - Z := (X * Y) / X; - Check (Z, Y, "X*Y/X " & Args, Mult_MBE + Divide_MBE); - Z := (X * Y) / Y; - Check (Z, X, "X*Y/Y " & Args, Mult_MBE + Divide_MBE); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error in Do_Mult_Div for " & Args); - when others => - Report.Failed ("exception in Do_Mult_Div for " & Args); - end Do_Mult_Div; - - -- select complex values X and Y where the real and imaginary - -- parts are selected from the ranges (1/radix..1) and - -- (1..radix). This translates into quite a few combinations. - procedure Mult_Div_Check is - Samples : constant := 17; - Radix : constant Real := Real(Real'Machine_Radix); - Inv_Radix : constant Real := 1.0 / Real(Real'Machine_Radix); - Low_Sample : Real; -- (1/radix .. 1) - High_Sample : Real; -- (1 .. radix) - Sample : array (1..2) of Real; - X, Y : Complex; - begin - for I in 1 .. Samples loop - Low_Sample := (1.0 - Inv_Radix) / Real (Samples) * Real (I) + - Inv_Radix; - Sample (1) := Low_Sample; - for J in 1 .. Samples loop - High_Sample := (Radix - 1.0) / Real (Samples) * Real (I) + - Radix; - Sample (2) := High_Sample; - for K in 1 .. 2 loop - for L in 1 .. 2 loop - X := Complex'(Sample (K), Sample (L)); - Y := Complex'(Sample (L), Sample (K)); - Do_Mult_Div (X, Y); - if Failure_Detected then - return; -- minimize flood of error messages - end if; - end loop; - end loop; - end loop; -- J - end loop; -- I - end Mult_Div_Check; - - - procedure Do_Test is - begin - Special_Values; - Mult_Div_Check; - end Do_Test; - end A_Long_Float_Check; - - ----------------------------------------------------------------------- - ----------------------------------------------------------------------- - - package Non_Generic_Check is - subtype Real is Float; - procedure Do_Test; - end Non_Generic_Check; - - package body Non_Generic_Check is - - use Ada.Numerics.Complex_Types; - - -- keep track if an accuracy failure has occurred so the test - -- can be short-circuited to avoid thousands of error messages. - Failure_Detected : Boolean := False; - - Mult_MBE : constant Real := 5.0; - Divide_MBE : constant Real := 13.0; - - - procedure Check (Actual, Expected : Complex; - Test_Name : String; - MBE : Real) is - Rel_Error : Real; - Abs_Error : Real; - Max_Error : Real; - begin - -- In the case where the expected result is very small or 0 - -- we compute the maximum error as a multiple of Model_Epsilon instead - -- of Model_Epsilon and Expected. - Rel_Error := MBE * abs Expected.Re * Real'Model_Epsilon; - Abs_Error := MBE * Real'Model_Epsilon; - if Rel_Error > Abs_Error then - Max_Error := Rel_Error; - else - Max_Error := Abs_Error; - end if; - - if abs (Actual.Re - Expected.Re) > Max_Error then - Failure_Detected := True; - Report.Failed (Test_Name & - " actual.re: " & Real'Image (Actual.Re) & - " expected.re: " & Real'Image (Expected.Re) & - " difference.re " & - Real'Image (Actual.Re - Expected.Re) & - " mre:" & Real'Image (Max_Error) ); - elsif Verbose then - if Actual = Expected then - Report.Comment (Test_Name & " exact result for real part"); - else - Report.Comment (Test_Name & " passed for real part"); - end if; - end if; - - Rel_Error := MBE * abs Expected.Im * Real'Model_Epsilon; - if Rel_Error > Abs_Error then - Max_Error := Rel_Error; - else - Max_Error := Abs_Error; - end if; - if abs (Actual.Im - Expected.Im) > Max_Error then - Failure_Detected := True; - Report.Failed (Test_Name & - " actual.im: " & Real'Image (Actual.Im) & - " expected.im: " & Real'Image (Expected.Im) & - " difference.im " & - Real'Image (Actual.Im - Expected.Im) & - " mre:" & Real'Image (Max_Error) ); - elsif Verbose then - if Actual = Expected then - Report.Comment (Test_Name & " exact result for imaginary part"); - else - Report.Comment (Test_Name & " passed for imaginary part"); - end if; - end if; - end Check; - - - procedure Special_Values is - begin - - --- test 1 --- - declare - T : constant := (Real'Machine_EMax - 1) / 2; - Big : constant := (1.0 * Real'Machine_Radix) ** (2 * T); - Expected : Complex := (0.0, 0.0); - X : Complex := (0.0, 0.0); - Y : Complex := (Big, Big); - Z : Complex; - begin - Z := X * Y; - Check (Z, Expected, "test 1a -- (0+0i) * (big+big*i)", - Mult_MBE); - Z := Y * X; - Check (Z, Expected, "test 1b -- (big+big*i) * (0+0i)", - Mult_MBE); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 1"); - when others => - Report.Failed ("exception in test 1"); - end; - - --- test 2 --- - declare - T : constant := Real'Model_EMin + 1; - Tiny : constant := (1.0 * Real'Machine_Radix) ** T; - U : Complex := (Tiny, Tiny); - X : Complex := (0.0, 0.0); - Expected : Complex := (0.0, 0.0); - Z : Complex; - begin - Z := U * X; - Check (Z, Expected, "test 2 -- (tiny,tiny) * (0,0)", - Mult_MBE); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 2"); - when others => - Report.Failed ("exception in test 2"); - end; - - --- test 3 --- - declare - T : constant := (Real'Machine_EMax - 1) / 2; - Big : constant := (1.0 * Real'Machine_Radix) ** (2 * T); - B : Complex := (Big, Big); - X : Complex := (0.0, 0.0); - Z : Complex; - begin - if Real'Machine_Overflows then - Z := B / X; - Report.Failed ("test 3 - Constraint_Error not raised"); - Check (Z, Z, "not executed - optimizer thwarting", 0.0); - end if; - exception - when Constraint_Error => null; -- expected - when others => - Report.Failed ("exception in test 3"); - end; - - --- test 4 --- - declare - T : constant := Real'Model_EMin + 1; - Tiny : constant := (1.0 * Real'Machine_Radix) ** T; - U : Complex := (Tiny, Tiny); - X : Complex := (0.0, 0.0); - Z : Complex; - begin - if Real'Machine_Overflows then - Z := U / X; - Report.Failed ("test 4 - Constraint_Error not raised"); - Check (Z, Z, "not executed - optimizer thwarting", 0.0); - end if; - exception - when Constraint_Error => null; -- expected - when others => - Report.Failed ("exception in test 4"); - end; - - - --- test 5 --- - declare - X : Complex := (Sqrt2, Sqrt2); - Z : Complex; - Expected : constant Complex := (0.0, 4.0); - begin - Z := X * X; - Check (Z, Expected, "test 5 -- (sqrt2,sqrt2) * (sqrt2,sqrt2)", - Mult_MBE); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 5"); - when others => - Report.Failed ("exception in test 5"); - end; - - --- test 6 --- - declare - X : Complex := Sqrt3 - Sqrt3 * i; - Z : Complex; - Expected : constant Complex := (0.0, -6.0); - begin - Z := X * X; - Check (Z, Expected, "test 6 -- (sqrt3,-sqrt3) * (sqrt3,-sqrt3)", - Mult_MBE); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 6"); - when others => - Report.Failed ("exception in test 6"); - end; - - --- test 7 --- - declare - X : Complex := Sqrt2 + Sqrt2 * i; - Y : Complex := Sqrt2 - Sqrt2 * i; - Z : Complex; - Expected : constant Complex := 0.0 + i; - begin - Z := X / Y; - Check (Z, Expected, "test 7 -- (sqrt2,sqrt2) / (sqrt2,-sqrt2)", - Divide_MBE); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error raised in test 7"); - when others => - Report.Failed ("exception in test 7"); - end; - end Special_Values; - - - procedure Do_Mult_Div (X, Y : Complex) is - Z : Complex; - Args : constant String := - "X=(" & Real'Image (X.Re) & "," & Real'Image (X.Im) & ") " & - "Y=(" & Real'Image (Y.Re) & "," & Real'Image (Y.Im) & ") " ; - begin - Z := (X * X) / X; - Check (Z, X, "X*X/X " & Args, Mult_MBE + Divide_MBE); - Z := (X * Y) / X; - Check (Z, Y, "X*Y/X " & Args, Mult_MBE + Divide_MBE); - Z := (X * Y) / Y; - Check (Z, X, "X*Y/Y " & Args, Mult_MBE + Divide_MBE); - exception - when Constraint_Error => - Report.Failed ("Constraint_Error in Do_Mult_Div for " & Args); - when others => - Report.Failed ("exception in Do_Mult_Div for " & Args); - end Do_Mult_Div; - - -- select complex values X and Y where the real and imaginary - -- parts are selected from the ranges (1/radix..1) and - -- (1..radix). This translates into quite a few combinations. - procedure Mult_Div_Check is - Samples : constant := 17; - Radix : constant Real := Real(Real'Machine_Radix); - Inv_Radix : constant Real := 1.0 / Real(Real'Machine_Radix); - Low_Sample : Real; -- (1/radix .. 1) - High_Sample : Real; -- (1 .. radix) - Sample : array (1..2) of Real; - X, Y : Complex; - begin - for I in 1 .. Samples loop - Low_Sample := (1.0 - Inv_Radix) / Real (Samples) * Real (I) + - Inv_Radix; - Sample (1) := Low_Sample; - for J in 1 .. Samples loop - High_Sample := (Radix - 1.0) / Real (Samples) * Real (I) + - Radix; - Sample (2) := High_Sample; - for K in 1 .. 2 loop - for L in 1 .. 2 loop - X := Complex'(Sample (K), Sample (L)); - Y := Complex'(Sample (L), Sample (K)); - Do_Mult_Div (X, Y); - if Failure_Detected then - return; -- minimize flood of error messages - end if; - end loop; - end loop; - end loop; -- J - end loop; -- I - end Mult_Div_Check; - - - procedure Do_Test is - begin - Special_Values; - Mult_Div_Check; - end Do_Test; - end Non_Generic_Check; - - ----------------------------------------------------------------------- - ----------------------------------------------------------------------- - -begin - Report.Test ("CXG2008", - "Check the accuracy of the complex multiplication and" & - " division operators"); - - if Verbose then - Report.Comment ("checking Standard.Float"); - end if; - - Float_Check.Do_Test; - - if Verbose then - Report.Comment ("checking a digits" & - Integer'Image (System.Max_Digits) & - " floating point type"); - end if; - - A_Long_Float_Check.Do_Test; - - if Verbose then - Report.Comment ("checking non-generic package"); - end if; - - Non_Generic_Check.Do_Test; - - Report.Result; -end CXG2008; |