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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 -- A D A . N U M E R I C S . A U X --
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6 -- --
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7 -- S p e c --
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8 -- (Apple OS X Version) --
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9 -- --
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131
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10 -- Copyright (C) 1992-2018, Free Software Foundation, Inc. --
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111
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11 -- --
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12 -- GNAT is free software; you can redistribute it and/or modify it under --
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13 -- terms of the GNU General Public License as published by the Free Soft- --
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14 -- ware Foundation; either version 3, or (at your option) any later ver- --
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15 -- sion. GNAT is distributed in the hope that it will be useful, but WITH- --
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16 -- OUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY --
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17 -- or FITNESS FOR A PARTICULAR PURPOSE. --
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18 -- --
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19 -- As a special exception under Section 7 of GPL version 3, you are granted --
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20 -- additional permissions described in the GCC Runtime Library Exception, --
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21 -- version 3.1, as published by the Free Software Foundation. --
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22 -- --
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23 -- You should have received a copy of the GNU General Public License and --
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24 -- a copy of the GCC Runtime Library Exception along with this program; --
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25 -- see the files COPYING3 and COPYING.RUNTIME respectively. If not, see --
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26 -- <http://www.gnu.org/licenses/>. --
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27 -- --
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28 -- GNAT was originally developed by the GNAT team at New York University. --
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29 -- Extensive contributions were provided by Ada Core Technologies Inc. --
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30 -- --
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31 ------------------------------------------------------------------------------
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32
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33 -- This version is for use on OS X. It uses the normal Unix math functions,
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34 -- except for sine/cosine which have been implemented directly in Ada to get
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35 -- the required accuracy.
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36
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37 package Ada.Numerics.Aux is
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38 pragma Pure;
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39
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40 pragma Linker_Options ("-lm");
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41
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42 type Double is new Long_Float;
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43 -- Type Double is the type used to call the C routines
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44
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45 -- The following functions have been implemented in Ada, since
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46 -- the OS X math library didn't meet accuracy requirements for
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47 -- argument reduction. The implementation here has been tailored
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48 -- to match Ada strict mode Numerics requirements while maintaining
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49 -- maximum efficiency.
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50 function Sin (X : Double) return Double;
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51 pragma Inline (Sin);
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52
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53 function Cos (X : Double) return Double;
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54 pragma Inline (Cos);
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55
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56 -- We import these functions directly from C. Note that we label them
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57 -- all as pure functions, because indeed all of them are in fact pure.
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58
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59 function Tan (X : Double) return Double;
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60 pragma Import (C, Tan, "tan");
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61 pragma Pure_Function (Tan);
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62
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63 function Exp (X : Double) return Double;
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64 pragma Import (C, Exp, "exp");
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65 pragma Pure_Function (Exp);
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66
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67 function Sqrt (X : Double) return Double;
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68 pragma Import (C, Sqrt, "sqrt");
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69 pragma Pure_Function (Sqrt);
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70
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71 function Log (X : Double) return Double;
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72 pragma Import (C, Log, "log");
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73 pragma Pure_Function (Log);
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74
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75 function Acos (X : Double) return Double;
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76 pragma Import (C, Acos, "acos");
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77 pragma Pure_Function (Acos);
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78
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79 function Asin (X : Double) return Double;
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80 pragma Import (C, Asin, "asin");
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81 pragma Pure_Function (Asin);
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82
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83 function Atan (X : Double) return Double;
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84 pragma Import (C, Atan, "atan");
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85 pragma Pure_Function (Atan);
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86
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87 function Sinh (X : Double) return Double;
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88 pragma Import (C, Sinh, "sinh");
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89 pragma Pure_Function (Sinh);
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90
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91 function Cosh (X : Double) return Double;
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92 pragma Import (C, Cosh, "cosh");
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93 pragma Pure_Function (Cosh);
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94
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95 function Tanh (X : Double) return Double;
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96 pragma Import (C, Tanh, "tanh");
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97 pragma Pure_Function (Tanh);
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98
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99 function Pow (X, Y : Double) return Double;
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100 pragma Import (C, Pow, "pow");
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101 pragma Pure_Function (Pow);
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102
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103 end Ada.Numerics.Aux;
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