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1 ------------------------------------------------------------------------------
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2 -- --
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3 -- GNAT RUN-TIME COMPONENTS --
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4 -- --
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5 -- S Y S T E M . D I M . M K S --
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6 -- --
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7 -- S p e c --
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8 -- --
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9 -- Copyright (C) 2011-2017, Free Software Foundation, Inc. --
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10 -- --
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11 -- GNAT is free software; you can redistribute it and/or modify it under --
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12 -- terms of the GNU General Public License as published by the Free Soft- --
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13 -- ware Foundation; either version 3, or (at your option) any later ver- --
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14 -- sion. GNAT is distributed in the hope that it will be useful, but WITH- --
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15 -- OUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY --
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16 -- or FITNESS FOR A PARTICULAR PURPOSE. --
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17 -- --
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18 -- As a special exception under Section 7 of GPL version 3, you are granted --
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19 -- additional permissions described in the GCC Runtime Library Exception, --
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20 -- version 3.1, as published by the Free Software Foundation. --
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21 -- --
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22 -- You should have received a copy of the GNU General Public License and --
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23 -- a copy of the GCC Runtime Library Exception along with this program; --
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24 -- see the files COPYING3 and COPYING.RUNTIME respectively. If not, see --
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25 -- <http://www.gnu.org/licenses/>. --
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26 -- --
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27 -- GNAT was originally developed by the GNAT team at New York University. --
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28 -- Extensive contributions were provided by Ada Core Technologies Inc. --
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29 -- --
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30 ------------------------------------------------------------------------------
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31
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32 -- Defines the MKS dimension system which is the SI system of units
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33
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34 -- Some other prefixes of this system are defined in a child package (see
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35 -- System.Dim_Mks.Other_Prefixes) in order to avoid too many constant
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36 -- declarations in this package.
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37
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38 -- The dimension terminology is defined in System.Dim_IO package
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39
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40 with Ada.Numerics;
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41
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42 package System.Dim.Mks is
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43
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44 e : constant := Ada.Numerics.e;
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45 Pi : constant := Ada.Numerics.Pi;
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46
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47 -- Dimensioned type Mks_Type
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48
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49 type Mks_Type is new Long_Long_Float
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50 with
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51 Dimension_System => (
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52 (Unit_Name => Meter, Unit_Symbol => 'm', Dim_Symbol => 'L'),
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53 (Unit_Name => Kilogram, Unit_Symbol => "kg", Dim_Symbol => 'M'),
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54 (Unit_Name => Second, Unit_Symbol => 's', Dim_Symbol => 'T'),
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55 (Unit_Name => Ampere, Unit_Symbol => 'A', Dim_Symbol => 'I'),
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56 (Unit_Name => Kelvin, Unit_Symbol => 'K', Dim_Symbol => '@'),
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57 (Unit_Name => Mole, Unit_Symbol => "mol", Dim_Symbol => 'N'),
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58 (Unit_Name => Candela, Unit_Symbol => "cd", Dim_Symbol => 'J'));
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59
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60 -- SI Base dimensioned subtypes
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61
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62 subtype Length is Mks_Type
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63 with
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64 Dimension => (Symbol => 'm',
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65 Meter => 1,
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66 others => 0);
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67
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68 subtype Mass is Mks_Type
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69 with
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70 Dimension => (Symbol => "kg",
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71 Kilogram => 1,
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72 others => 0);
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73
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74 subtype Time is Mks_Type
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75 with
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76 Dimension => (Symbol => 's',
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77 Second => 1,
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78 others => 0);
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79
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80 subtype Electric_Current is Mks_Type
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81 with
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82 Dimension => (Symbol => 'A',
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83 Ampere => 1,
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84 others => 0);
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85
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86 subtype Thermodynamic_Temperature is Mks_Type
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87 with
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88 Dimension => (Symbol => 'K',
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89 Kelvin => 1,
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90 others => 0);
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91
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92 subtype Amount_Of_Substance is Mks_Type
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93 with
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94 Dimension => (Symbol => "mol",
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95 Mole => 1,
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96 others => 0);
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97
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98 subtype Luminous_Intensity is Mks_Type
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99 with
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100 Dimension => (Symbol => "cd",
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101 Candela => 1,
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102 others => 0);
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103
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104 -- Initialize SI Base unit values
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105
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106 -- Turn off the all the dimension warnings for these basic assignments
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107 -- since otherwise we would get complaints about assigning dimensionless
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108 -- values to dimensioned subtypes (we can't assign 1.0*m to m).
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109
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110 pragma Warnings (Off, "*assumed to be*");
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111
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112 m : constant Length := 1.0;
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113 kg : constant Mass := 1.0;
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114 s : constant Time := 1.0;
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115 A : constant Electric_Current := 1.0;
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116 K : constant Thermodynamic_Temperature := 1.0;
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117 mol : constant Amount_Of_Substance := 1.0;
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118 cd : constant Luminous_Intensity := 1.0;
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119
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120 pragma Warnings (On, "*assumed to be*");
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121
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122 -- SI Derived dimensioned subtypes
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123
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124 subtype Absorbed_Dose is Mks_Type
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125 with
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126 Dimension => (Symbol => "Gy",
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127 Meter => 2,
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128 Second => -2,
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129 others => 0);
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130
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131 subtype Angle is Mks_Type
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132 with
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133 Dimension => (Symbol => "rad",
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134 others => 0);
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135
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136 subtype Area is Mks_Type
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137 with
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138 Dimension => (
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139 Meter => 2,
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140 others => 0);
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141
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142 subtype Catalytic_Activity is Mks_Type
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143 with
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144 Dimension => (Symbol => "kat",
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145 Second => -1,
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146 Mole => 1,
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147 others => 0);
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148
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149 subtype Celsius_Temperature is Mks_Type
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150 with
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151 Dimension => (Symbol => "°C",
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152 Kelvin => 1,
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153 others => 0);
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154
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155 subtype Electric_Capacitance is Mks_Type
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156 with
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157 Dimension => (Symbol => 'F',
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158 Meter => -2,
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159 Kilogram => -1,
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160 Second => 4,
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161 Ampere => 2,
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162 others => 0);
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163
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164 subtype Electric_Charge is Mks_Type
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165 with
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166 Dimension => (Symbol => 'C',
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167 Second => 1,
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168 Ampere => 1,
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169 others => 0);
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170
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171 subtype Electric_Conductance is Mks_Type
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172 with
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173 Dimension => (Symbol => 'S',
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174 Meter => -2,
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175 Kilogram => -1,
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176 Second => 3,
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177 Ampere => 2,
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178 others => 0);
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179
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180 subtype Electric_Potential_Difference is Mks_Type
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181 with
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182 Dimension => (Symbol => 'V',
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183 Meter => 2,
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184 Kilogram => 1,
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185 Second => -3,
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186 Ampere => -1,
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187 others => 0);
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188
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189 -- Note the type punning below. The Symbol is a single "ohm" character
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190 -- encoded in UTF-8 (ce a9 in hexadecimal), but this file is not compiled
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191 -- with -gnatW8, so we're treating the string literal as a two-character
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192 -- String.
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193
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194 subtype Electric_Resistance is Mks_Type
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195 with
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196 Dimension => (Symbol => "Ω",
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197 Meter => 2,
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198 Kilogram => 1,
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199 Second => -3,
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200 Ampere => -2,
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201 others => 0);
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202
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203 subtype Energy is Mks_Type
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204 with
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205 Dimension => (Symbol => 'J',
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206 Meter => 2,
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207 Kilogram => 1,
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208 Second => -2,
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209 others => 0);
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210
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211 subtype Equivalent_Dose is Mks_Type
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212 with
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213 Dimension => (Symbol => "Sv",
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214 Meter => 2,
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215 Second => -2,
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216 others => 0);
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217
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218 subtype Force is Mks_Type
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219 with
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220 Dimension => (Symbol => 'N',
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221 Meter => 1,
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222 Kilogram => 1,
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223 Second => -2,
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224 others => 0);
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225
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226 subtype Frequency is Mks_Type
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227 with
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228 Dimension => (Symbol => "Hz",
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229 Second => -1,
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230 others => 0);
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231
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232 subtype Illuminance is Mks_Type
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233 with
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234 Dimension => (Symbol => "lx",
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235 Meter => -2,
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236 Candela => 1,
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237 others => 0);
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238
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239 subtype Inductance is Mks_Type
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240 with
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241 Dimension => (Symbol => 'H',
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242 Meter => 2,
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243 Kilogram => 1,
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244 Second => -2,
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245 Ampere => -2,
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246 others => 0);
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247
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248 subtype Luminous_Flux is Mks_Type
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249 with
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250 Dimension => (Symbol => "lm",
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251 Candela => 1,
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252 others => 0);
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253
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254 subtype Magnetic_Flux is Mks_Type
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255 with
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256 Dimension => (Symbol => "Wb",
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257 Meter => 2,
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258 Kilogram => 1,
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259 Second => -2,
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260 Ampere => -1,
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261 others => 0);
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262
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263 subtype Magnetic_Flux_Density is Mks_Type
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264 with
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265 Dimension => (Symbol => 'T',
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266 Kilogram => 1,
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267 Second => -2,
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268 Ampere => -1,
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269 others => 0);
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270
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271 subtype Power is Mks_Type
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272 with
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273 Dimension => (Symbol => 'W',
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274 Meter => 2,
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275 Kilogram => 1,
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276 Second => -3,
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277 others => 0);
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278
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279 subtype Pressure is Mks_Type
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280 with
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281 Dimension => (Symbol => "Pa",
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282 Meter => -1,
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283 Kilogram => 1,
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284 Second => -2,
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285 others => 0);
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286
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287 subtype Radioactivity is Mks_Type
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288 with
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289 Dimension => (Symbol => "Bq",
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290 Second => -1,
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291 others => 0);
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292
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293 subtype Solid_Angle is Mks_Type
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294 with
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295 Dimension => (Symbol => "sr",
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296 others => 0);
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297
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298 subtype Speed is Mks_Type
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299 with
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300 Dimension => (
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301 Meter => 1,
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302 Second => -1,
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303 others => 0);
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304
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305 subtype Volume is Mks_Type
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306 with
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307 Dimension => (
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308 Meter => 3,
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309 others => 0);
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310
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311 -- Initialize derived dimension values
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312
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313 -- Turn off the all the dimension warnings for these basic assignments
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314 -- since otherwise we would get complaints about assigning dimensionless
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315 -- values to dimensioned subtypes.
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316
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317 pragma Warnings (Off, "*assumed to be*");
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318
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319 rad : constant Angle := 1.0;
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320 sr : constant Solid_Angle := 1.0;
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321 Hz : constant Frequency := 1.0;
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322 N : constant Force := 1.0;
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323 Pa : constant Pressure := 1.0;
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324 J : constant Energy := 1.0;
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325 W : constant Power := 1.0;
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326 C : constant Electric_Charge := 1.0;
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327 V : constant Electric_Potential_Difference := 1.0;
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328 F : constant Electric_Capacitance := 1.0;
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329 Ohm : constant Electric_Resistance := 1.0;
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330 Si : constant Electric_Conductance := 1.0;
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331 Wb : constant Magnetic_Flux := 1.0;
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332 T : constant Magnetic_Flux_Density := 1.0;
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333 H : constant Inductance := 1.0;
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334 dC : constant Celsius_Temperature := 273.15;
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335 lm : constant Luminous_Flux := 1.0;
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336 lx : constant Illuminance := 1.0;
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337 Bq : constant Radioactivity := 1.0;
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338 Gy : constant Absorbed_Dose := 1.0;
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339 Sv : constant Equivalent_Dose := 1.0;
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340 kat : constant Catalytic_Activity := 1.0;
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341
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342 -- SI prefixes for Meter
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343
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344 um : constant Length := 1.0E-06; -- micro (u)
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345 mm : constant Length := 1.0E-03; -- milli
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346 cm : constant Length := 1.0E-02; -- centi
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347 dm : constant Length := 1.0E-01; -- deci
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348 dam : constant Length := 1.0E+01; -- deka
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349 hm : constant Length := 1.0E+02; -- hecto
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350 km : constant Length := 1.0E+03; -- kilo
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351 Mem : constant Length := 1.0E+06; -- mega
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352
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353 -- SI prefixes for Kilogram
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354
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355 ug : constant Mass := 1.0E-09; -- micro (u)
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356 mg : constant Mass := 1.0E-06; -- milli
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357 cg : constant Mass := 1.0E-05; -- centi
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358 dg : constant Mass := 1.0E-04; -- deci
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359 g : constant Mass := 1.0E-03; -- gram
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360 dag : constant Mass := 1.0E-02; -- deka
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361 hg : constant Mass := 1.0E-01; -- hecto
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362 Meg : constant Mass := 1.0E+03; -- mega
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363
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364 -- SI prefixes for Second
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365
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366 us : constant Time := 1.0E-06; -- micro (u)
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367 ms : constant Time := 1.0E-03; -- milli
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368 cs : constant Time := 1.0E-02; -- centi
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369 ds : constant Time := 1.0E-01; -- deci
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370 das : constant Time := 1.0E+01; -- deka
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371 hs : constant Time := 1.0E+02; -- hecto
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372 ks : constant Time := 1.0E+03; -- kilo
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373 Mes : constant Time := 1.0E+06; -- mega
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374
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375 -- Other constants for Second
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376
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377 min : constant Time := 60.0 * s;
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378 hour : constant Time := 60.0 * min;
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379 day : constant Time := 24.0 * hour;
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380 year : constant Time := 365.25 * day;
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381
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382 -- SI prefixes for Ampere
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383
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384 mA : constant Electric_Current := 1.0E-03; -- milli
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385 cA : constant Electric_Current := 1.0E-02; -- centi
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386 dA : constant Electric_Current := 1.0E-01; -- deci
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387 daA : constant Electric_Current := 1.0E+01; -- deka
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388 hA : constant Electric_Current := 1.0E+02; -- hecto
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389 kA : constant Electric_Current := 1.0E+03; -- kilo
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390 MeA : constant Electric_Current := 1.0E+06; -- mega
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391
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392 pragma Warnings (On, "*assumed to be*");
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393 end System.Dim.Mks;
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