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111
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1 -- CXA5A02.A
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2 --
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3 -- Grant of Unlimited Rights
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4 --
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5 -- Under contracts F33600-87-D-0337, F33600-84-D-0280, MDA903-79-C-0687,
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6 -- F08630-91-C-0015, and DCA100-97-D-0025, the U.S. Government obtained
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7 -- unlimited rights in the software and documentation contained herein.
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8 -- Unlimited rights are defined in DFAR 252.227-7013(a)(19). By making
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9 -- this public release, the Government intends to confer upon all
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10 -- recipients unlimited rights equal to those held by the Government.
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11 -- These rights include rights to use, duplicate, release or disclose the
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12 -- released technical data and computer software in whole or in part, in
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13 -- any manner and for any purpose whatsoever, and to have or permit others
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14 -- to do so.
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15 --
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16 -- DISCLAIMER
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17 --
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18 -- ALL MATERIALS OR INFORMATION HEREIN RELEASED, MADE AVAILABLE OR
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19 -- DISCLOSED ARE AS IS. THE GOVERNMENT MAKES NO EXPRESS OR IMPLIED
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20 -- WARRANTY AS TO ANY MATTER WHATSOEVER, INCLUDING THE CONDITIONS OF THE
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21 -- SOFTWARE, DOCUMENTATION OR OTHER INFORMATION RELEASED, MADE AVAILABLE
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22 -- OR DISCLOSED, OR THE OWNERSHIP, MERCHANTABILITY, OR FITNESS FOR A
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23 -- PARTICULAR PURPOSE OF SAID MATERIAL.
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24 --*
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25 --
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26 -- OBJECTIVE:
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27 -- Check that the functions Cos and Cosh provide correct results.
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28 --
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29 -- TEST DESCRIPTION:
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30 -- This test examines both the version of Cos and Cosh resulting from
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31 -- the instantiation of the Ada.Numerics.Generic_Elementary_Functions
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32 -- with type derived from type Float, as well as the pre-instantiated
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33 -- version of this package for type Float.
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34 -- Prescribed results, including instances prescribed to raise
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35 -- exceptions, are examined in the test cases. In addition,
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36 -- certain evaluations are performed where the actual function result
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37 -- is compared with the expected result (within an epsilon range of
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38 -- accuracy).
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39 --
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40 -- TEST FILES:
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41 -- The following files comprise this test:
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42 --
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43 -- FXA5A00.A (foundation code)
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44 -- CXA5A02.A
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45 --
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46 --
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47 -- CHANGE HISTORY:
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48 -- 09 Mar 95 SAIC Initial prerelease version.
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49 -- 03 Apr 95 SAIC Removed reference to derived type.
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50 -- 13 Jun 95 SAIC Incorporated use of Dont_Optimize procedure, and
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51 -- use of Result_Within_Range function overloaded for
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52 -- FXA5A00.New_Float_Type.
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53 -- 28 Feb 97 PWB.CTA Removed checks specifying Cycle => 2.0 * Pi
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54 -- 26 Jun 98 EDS Protected exception checks by first testing
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55 -- for 'Machine_Overflows. Removed code deleted
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56 -- by comment.
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57 -- CHANGE NOTE:
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58 -- According to Ken Dritz, author of the Numerics Annex of the RM,
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59 -- one should never specify the cycle 2.0*Pi for the trigonometric
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60 -- functions. In particular, if the machine number for the first
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61 -- argument is not an exact multiple of the machine number for the
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62 -- explicit cycle, then the specified exact results cannot be
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63 -- reasonably expected. The affected checks have been deleted.
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64 --!
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65
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66 with Ada.Numerics.Elementary_Functions;
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67 with Ada.Numerics.Generic_Elementary_Functions;
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68 with FXA5A00;
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69 with Report;
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70
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71 procedure CXA5A02 is
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72 begin
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73
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74 Report.Test ("CXA5A02", "Check that the functions Cos and Cosh provide " &
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75 "correct results");
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76
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77 Test_Block:
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78 declare
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79
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80 use Ada.Numerics;
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81 use FXA5A00;
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82
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83 package GEF is new Ada.Numerics.Generic_Elementary_Functions(New_Float);
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84 package EF renames Ada.Numerics.Elementary_Functions;
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85
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86 The_Result : Float;
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87 New_Float_Result : New_Float;
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88
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89 procedure Dont_Optimize_Float is new Dont_Optimize(Float);
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90 procedure Dont_Optimize_New_Float is new Dont_Optimize(New_Float);
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91
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92 begin
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93
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94 -- Testing of Cos Function, both instantiated and pre-instantiated
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95 -- version.
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96
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97 -- Check that no exception occurs on computing the Cos with very
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98 -- large (positive and negative) input values.
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99
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100 begin
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101 New_Float_Result := GEF.Cos (New_Float(FXA5A00.Large));
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102 Dont_Optimize_New_Float(New_Float_Result, 1);
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103 exception
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104 when others =>
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105 Report.Failed("Unexpected exception on GEF.Cos with large " &
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106 "positive value");
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107 end;
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108
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109 begin
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110 The_Result := EF.Cos (FXA5A00.Minus_Large);
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111 Dont_Optimize_Float(The_Result, 2);
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112 exception
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113 when others =>
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114 Report.Failed("Unexpected exception on GEF.Cos with large " &
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115 "negative value");
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116 end;
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117
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118
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119 -- Test of Cos for prescribed result at zero.
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120
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121 if GEF.Cos (0.0) /= 1.0 or
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122 EF.Cos (0.0) /= 1.0
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123 then
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124 Report.Failed("Incorrect value returned from Cos(0.0)");
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125 end if;
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126
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127
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128 -- Test of Cos with expected result value between 1.0 and -1.0.
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129
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130 if not (Result_Within_Range( EF.Cos(Ada.Numerics.Pi/3.0),
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131 0.500,
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132 0.001) and
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133 Result_Within_Range(GEF.Cos(0.6166), 0.816, 0.001) and
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134 Result_Within_Range(GEF.Cos(0.1949), 0.981, 0.001) and
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135 Result_Within_Range( EF.Cos(Ada.Numerics.Pi/2.0),
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136 0.00,
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137 0.001) and
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138 Result_Within_Range( EF.Cos(2.0*Ada.Numerics.Pi/3.0),
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139 -0.500,
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140 0.001) and
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141 Result_Within_Range(GEF.Cos(New_Float(Ada.Numerics.Pi)),
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142 -1.00,
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143 0.001))
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144 then
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145 Report.Failed("Incorrect value returned from Cos function when " &
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146 "the expected result is between 1.0 and -1.0");
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147 end if;
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148
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149
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150 -- Testing of the Cos function with Cycle parameter.
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151
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152 -- Check that Argument_Error is raised when the value of the Cycle
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153 -- parameter is zero.
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154
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155 begin
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156 New_Float_Result := GEF.Cos (X => 1.0, Cycle => 0.0);
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157 Report.Failed("Argument_Error not raised by GEF.Cos function " &
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158 "when the Cycle parameter is zero");
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159 Dont_Optimize_New_Float(New_Float_Result, 3);
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160 exception
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161 when Ada.Numerics.Argument_Error => null; -- OK, expected exception.
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162 when others =>
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163 Report.Failed("Unexpected exception raised by GEF.cos function " &
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164 "when the Cycle parameter is zero");
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165 end;
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166
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167 begin
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168 The_Result := EF.Cos (X => 0.55, Cycle => 0.0);
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169 Report.Failed("Argument_Error not raised by EF.Cos function when " &
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170 "the Cycle parameter is zero");
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171 Dont_Optimize_Float(The_Result, 4);
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172 exception
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173 when Ada.Numerics.Argument_Error => null; -- OK, expected exception.
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174 when others =>
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175 Report.Failed("Unexpected exception raised by EF.Cos function " &
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176 "when the Cycle parameter is zero");
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177 end;
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178
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179 -- Check that Argument_Error is raised when the value of the Cycle
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180 -- parameter is negative.
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181
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182 begin
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183 New_Float_Result := GEF.Cos (X => 0.45, Cycle => -2.0*Pi);
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184 Report.Failed("Argument_Error not raised by GEF.Cos function " &
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185 "when the Cycle parameter is negative");
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186 Dont_Optimize_New_Float(New_Float_Result, 5);
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187 exception
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188 when Ada.Numerics.Argument_Error => null; -- OK, expected exception.
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189 when others =>
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190 Report.Failed("Unexpected exception raised by GEF.Cos function " &
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191 "when the Cycle parameter is negative");
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192 end;
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193
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194 begin
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195 The_Result := EF.Cos (X => 0.10, Cycle => -Pi/2.0);
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196 Report.Failed("Argument_Error not raised by EF.Cos function when " &
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197 "the Cycle parameter is negative");
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198 Dont_Optimize_Float(The_Result, 6);
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199 exception
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200 when Ada.Numerics.Argument_Error => null; -- OK, expected exception.
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201 when others =>
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202 Report.Failed("Unexpected exception raised by EF.Cos function " &
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203 "when the Cycle parameter is negative");
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204 end;
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205
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206 -- Test of Cos with Cycle parameter for prescribed result at zero.
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207
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208 if GEF.Cos (0.0, 360.0) /= 1.0 or
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209 EF.Cos (0.0, 360.0) /= 1.0
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210 then
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211 Report.Failed("Incorrect value returned from Cos function with " &
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212 "cycle parameter for a zero input parameter value");
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213 end if;
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214
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215
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216 -- Tests of Cos function with specified Cycle, using various input
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217 -- parameter values for prescribed results.
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218
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219 if GEF.Cos(0.0, 360.0) /= 1.0 or
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220 EF.Cos(360.0, 360.0) /= 1.0 or
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221 GEF.Cos(90.0, 360.0) /= 0.0 or
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222 EF.Cos(270.0, 360.0) /= 0.0 or
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223 GEF.Cos(180.0, 360.0) /= -1.0 or
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224 EF.Cos(540.0, 360.0) /= -1.0
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225 then
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226 Report.Failed("Incorrect result from the Cos function with " &
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227 "specified cycle for prescribed results");
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228 end if;
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229
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230
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231
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232 -- Testing of Cosh Function, both instantiated and pre-instantiated
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233 -- version.
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234
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235 -- Test for Constraint_Error on parameter with large positive magnitude.
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236
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237 begin
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238
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239 if New_Float'Machine_Overflows then
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240
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241 New_Float_Result := GEF.Cosh (New_Float(FXA5A00.Large));
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242 Report.Failed("Constraint_Error not raised when the GEF.Cosh " &
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243 "function is provided a parameter with a large " &
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244 "positive value");
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245 Dont_Optimize_New_Float(New_Float_Result, 9);
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246 end if;
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247
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248 exception
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249 when Constraint_Error => null; -- OK, expected exception.
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250 when others =>
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251 Report.Failed("Constraint_Error not raised when the GEF.Cosh " &
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252 "function is provided a parameter with a large " &
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253 "positive value");
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254 end;
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255
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256 -- Test for Constraint_Error on parameter with large negative magnitude.
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257
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258 begin
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259
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260 if Float'Machine_Overflows then
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261 The_Result := EF.Cosh (FXA5A00.Minus_Large);
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262 Report.Failed("Constraint_Error not raised when the EF.Cosh " &
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263 "function is provided a parameter with a " &
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264 "large negative value");
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265 Dont_Optimize_Float(The_Result, 10);
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266 end if;
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267
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268 exception
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269 when Constraint_Error => null; -- OK, expected exception.
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270 when others =>
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271 Report.Failed("Constraint_Error not raised when the EF.Cosh " &
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272 "function is provided a parameter with a " &
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273 "large negative value");
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274 end;
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275
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276
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277 -- Test that no exception occurs when the Cosh function is provided a
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278 -- very small positive or negative value.
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279
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280 begin
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281 New_Float_Result := GEF.Cosh (New_Float(FXA5A00.Small));
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282 Dont_Optimize_New_Float(New_Float_Result, 11);
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283 exception
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284 when others =>
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285 Report.Failed("Unexpected exception on GEF.Cosh with a very" &
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286 "small positive value");
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287 end;
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288
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289 begin
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290 The_Result := EF.Cosh (-FXA5A00.Small);
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291 Dont_Optimize_Float(The_Result, 12);
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292 exception
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293 when others =>
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294 Report.Failed("Unexpected exception on EF.Cosh with a very" &
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295 "small negative value");
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296 end;
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297
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298
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299 -- Test for prescribed 1.0 result of Function Cosh with 0.0 parameter.
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300
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301 if GEF.Cosh (0.0) /= 1.0 or
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302 EF.Cosh (0.0) /= 1.0
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303 then
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304 Report.Failed("Incorrect value returned from Cosh(0.0)");
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305 end if;
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306
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307
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308 -- Test of Cosh function with various input parameters.
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309
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310 if not FXA5A00.Result_Within_Range(GEF.Cosh(0.24), 1.029, 0.001) or
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311 not FXA5A00.Result_Within_Range( EF.Cosh(0.59), 1.179, 0.001) or
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312 not FXA5A00.Result_Within_Range(GEF.Cosh(1.06), 1.616, 0.001) or
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313 not FXA5A00.Result_Within_Range( EF.Cosh(1.50), 2.352, 0.001) or
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314 not FXA5A00.Result_Within_Range(GEF.Cosh(1.84), 3.228, 0.001) or
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315 not FXA5A00.Result_Within_Range( EF.Cosh(3.40), 14.99, 0.01)
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316 then
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317 Report.Failed("Incorrect result from Cosh function with " &
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318 "various input parameters");
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319 end if;
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320
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321
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322 exception
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323 when others => Report.Failed ("Exception raised in Test_Block");
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324 end Test_Block;
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325
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326 Report.Result;
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327
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328 end CXA5A02;
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