1 | ;-*- Mode: Lisp -*- |
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2 | ;;;; Author: Paul Dietz |
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3 | ;;;; Created: Tue Sep 2 19:36:22 2003 |
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4 | ;;;; Contains: Tests of EXPT |
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5 | |
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6 | (in-package :cl-test) |
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7 | |
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8 | ;;; Error tests |
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9 | |
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10 | (deftest expt.error.1 |
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11 | (signals-error (expt) program-error) |
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12 | t) |
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13 | |
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14 | (deftest expt.error.2 |
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15 | (signals-error (expt 1 1 1) program-error) |
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16 | t) |
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17 | |
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18 | (deftest expt.error.3 |
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19 | (signals-error (expt 1 1 nil nil) program-error) |
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20 | t) |
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21 | |
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22 | (deftest expt.error.4 |
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23 | (signals-error (expt most-positive-short-float 2) floating-point-overflow) |
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24 | t) |
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25 | |
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26 | (deftest expt.error.5 |
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27 | (signals-error (expt most-positive-single-float 2) floating-point-overflow) |
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28 | t) |
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29 | |
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30 | (deftest expt.error.6 |
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31 | (signals-error (expt most-positive-double-float 2) floating-point-overflow) |
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32 | t) |
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33 | |
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34 | (deftest expt.error.7 |
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35 | (signals-error (expt most-positive-long-float 2) floating-point-overflow) |
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36 | t) |
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37 | |
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38 | (deftest expt.error.8 |
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39 | (signals-error (expt least-positive-short-float 2) floating-point-underflow) |
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40 | t) |
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41 | |
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42 | (deftest expt.error.9 |
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43 | (signals-error (expt least-positive-single-float 2) floating-point-underflow) |
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44 | t) |
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45 | |
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46 | (deftest expt.error.10 |
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47 | (signals-error (expt least-positive-double-float 2) floating-point-underflow) |
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48 | t) |
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49 | |
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50 | (deftest expt.error.11 |
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51 | (signals-error (expt least-positive-long-float 2) floating-point-underflow) |
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52 | t) |
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53 | |
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54 | |
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55 | |
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56 | |
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57 | ;;; Non-error tests |
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58 | |
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59 | (deftest expt.1 |
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60 | (expt 0 0) |
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61 | 1) |
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62 | |
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63 | (deftest expt.2 |
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64 | (loop for i from -1000 to 1000 |
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65 | always (eql (expt i 0) 1)) |
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66 | t) |
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67 | |
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68 | (deftest expt.3 |
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69 | (loop for i = (random 1.0s3) |
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70 | repeat 1000 |
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71 | always (eql (expt i 0) 1.0s0)) |
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72 | t) |
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73 | |
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74 | (deftest expt.4 |
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75 | (loop for i = (random 1.0f6) |
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76 | repeat 1000 |
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77 | always (eql (expt i 0) 1.0f0)) |
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78 | t) |
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79 | |
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80 | (deftest expt.5 |
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81 | (loop for i = (random 1.0d10) |
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82 | repeat 1000 |
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83 | always (eql (expt i 0) 1.0d0)) |
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84 | t) |
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85 | |
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86 | (deftest expt.6 |
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87 | (loop for i = (random 1.0l10) |
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88 | repeat 1000 |
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89 | always (eql (expt i 0) 1.0l0)) |
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90 | t) |
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91 | |
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92 | (deftest expt.7 |
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93 | (loop for i from -1000 to 1000 |
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94 | for c = (complex i i) |
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95 | always (eql (expt c 0) 1)) |
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96 | t) |
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97 | |
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98 | (deftest expt.8 |
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99 | (loop for i = (random 1.0s3) |
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100 | for c = (complex i i) |
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101 | repeat 1000 |
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102 | always (eql (expt c 0) #c(1.0s0 0.0s0))) |
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103 | t) |
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104 | |
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105 | (deftest expt.9 |
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106 | (loop for i = (random 1.0f6) |
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107 | for c = (complex i i) |
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108 | repeat 1000 |
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109 | always (eql (expt c 0) #c(1.0f0 0.0f0))) |
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110 | t) |
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111 | |
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112 | (deftest expt.10 |
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113 | (loop for i = (random 1.0d10) |
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114 | for c = (complex i i) |
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115 | repeat 1000 |
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116 | always (eql (expt c 0) #c(1.0d0 0.0d0))) |
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117 | t) |
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118 | |
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119 | (deftest expt.11 |
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120 | (loop for i = (random 1.0l10) |
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121 | for c = (complex i i) |
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122 | repeat 1000 |
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123 | always (eql (expt c 0) #c(1.0l0 0.0l0))) |
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124 | t) |
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125 | |
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126 | (deftest expt.12 |
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127 | (loop for x in *numbers* |
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128 | unless (or (floatp (realpart x)) |
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129 | (eql (expt x 1) x)) |
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130 | collect x) |
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131 | nil) |
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132 | |
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133 | (deftest expt.13 |
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134 | (loop for x in *rationals* |
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135 | unless (and (eql (expt x 2) (* x x)) |
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136 | (or (zerop x) |
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137 | (eql (expt x -1) (/ x)))) |
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138 | collect x) |
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139 | nil) |
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140 | |
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141 | (deftest expt.14 |
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142 | (expt #c(0 2) 2) |
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143 | -4) |
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144 | |
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145 | (deftest expt.15 |
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146 | (expt #c(1 1) 2) |
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147 | #c(0 2)) |
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148 | |
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149 | (deftest expt.16 |
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150 | (expt #c(1/2 1/3) 3) |
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151 | #c(-1/24 23/108)) |
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152 | |
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153 | (deftest expt.17 |
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154 | (expt #c(1 1) -2) |
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155 | #c(0 -1/2)) |
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156 | |
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157 | (deftest expt.18 |
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158 | (loop |
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159 | for zero in '(0.0s0 0.0f0 0.0d0 0.0l0) |
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160 | always |
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161 | (loop for i from -1000 to 1000 |
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162 | always (or (zerop i) |
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163 | (eql (expt i zero) (float 1 zero))))) |
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164 | t) |
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165 | |
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166 | (deftest expt.19 |
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167 | (loop |
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168 | for zero in '(0.0s0 0.0f0 0.0d0 0.0l0) |
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169 | always |
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170 | (loop for i from -1000 to 1000 |
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171 | always (or (zerop i) |
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172 | (eql (expt (float i 0.0s0) zero) (float 1 zero))))) |
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173 | t) |
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174 | |
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175 | (deftest expt.20 |
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176 | (loop |
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177 | for zero in '(0.0f0 0.0d0 0.0l0) |
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178 | always |
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179 | (loop for i from -1000 to 1000 |
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180 | always (or (zerop i) |
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181 | (eql (expt (float i 0.0f0) zero) (float 1 zero))))) |
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182 | t) |
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183 | |
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184 | (deftest expt.21 |
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185 | (loop |
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186 | for zero in '(0.0d0 0.0l0) |
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187 | always |
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188 | (loop for i from -1000 to 1000 |
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189 | always (or (zerop i) |
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190 | (eql (expt (float i 0.0d0) zero) (float 1 zero))))) |
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191 | t) |
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192 | |
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193 | (deftest expt.22 |
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194 | (expt 2.0f0 0.0s0) |
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195 | 1.0f0) |
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196 | |
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197 | (deftest expt.23 |
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198 | (expt 2.0d0 0.0s0) |
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199 | 1.0d0) |
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200 | |
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201 | (deftest expt.24 |
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202 | (expt 2.0l0 0.0s0) |
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203 | 1.0l0) |
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204 | |
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205 | (deftest expt.25 |
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206 | (expt 2.0d0 0.0f0) |
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207 | 1.0d0) |
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208 | |
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209 | (deftest expt.26 |
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210 | (expt 2.0l0 0.0f0) |
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211 | 1.0l0) |
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212 | |
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213 | (deftest expt.27 |
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214 | (expt 2.0l0 0.0d0) |
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215 | 1.0l0) |
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216 | |
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217 | (deftest expt.28 |
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218 | (<= (realpart (expt -8 1/3)) 0.0) |
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219 | nil) |
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220 | |
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221 | #| |
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222 | ;;; FIXME |
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223 | ;;; I need to think more about how to do approximate float |
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224 | ;;; equality in a principled way. |
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225 | |
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226 | (deftest expt.29 |
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227 | (loop for bound in '(1.0s4 1.0f6 1.0d8 1.0l8) |
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228 | for ebound in (list short-float-epsilon single-float-epsilon |
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229 | double-float-epsilon long-float-epsilon) |
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230 | for ebound2 = (max (* 2 ebound) (/ bound)) |
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231 | nconc |
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232 | (loop for x = (1+ (random 1.0f6)) |
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233 | for s1 = (sqrt x) |
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234 | for s2 = (expt x 1/2) |
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235 | for error = (/ (abs (- s2 s2)) x) |
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236 | repeat 1000 |
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237 | unless (< error ebound2) |
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238 | collect (list x s1 s2))) |
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239 | nil) |
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240 | |
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241 | (deftest expt.30 |
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242 | (loop for bound in '(1.0s4 1.0f6 1.0d8 1.0l8) |
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243 | for ebound in (list short-float-epsilon single-float-epsilon |
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244 | double-float-epsilon long-float-epsilon) |
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245 | for ebound2 = (max (* 2 ebound) (/ bound)) |
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246 | nconc |
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247 | (loop for x = (- (1+ (random 1.0f6))) |
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248 | for s1 = (sqrt x) |
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249 | for s2 = (expt x 1/2) |
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250 | for error = (/ (abs (- s2 s2)) x) |
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251 | repeat 1000 |
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252 | unless (< error ebound2) |
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253 | collect (list x s1 s2))) |
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254 | nil) |
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255 | |# |
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