[8703] | 1 | using System;
|
---|
| 2 | using System.Collections.Generic;
|
---|
| 3 | using System.Linq;
|
---|
| 4 | using System.Text;
|
---|
| 5 |
|
---|
| 6 | using CompileResult = AutoDiff.Compiled.TapeElement;
|
---|
| 7 |
|
---|
| 8 | namespace AutoDiff
|
---|
| 9 | {
|
---|
| 10 | partial class CompiledDifferentiator<T>
|
---|
| 11 | {
|
---|
| 12 | private class Compiler : ITermVisitor<int> // int --> the index of the compiled element in the tape
|
---|
| 13 | {
|
---|
| 14 | private readonly List<Compiled.TapeElement> tape;
|
---|
| 15 | private readonly Dictionary<Term, int> indexOf;
|
---|
| 16 |
|
---|
| 17 | public Compiler(T variables, List<Compiled.TapeElement> tape)
|
---|
| 18 | {
|
---|
| 19 | this.tape = tape;
|
---|
| 20 | indexOf = new Dictionary<Term, int>();
|
---|
| 21 | foreach (var i in Enumerable.Range(0, variables.Count))
|
---|
| 22 | {
|
---|
| 23 | indexOf[variables[i]] = i;
|
---|
| 24 | tape.Add(new Compiled.Variable());
|
---|
| 25 | }
|
---|
| 26 | }
|
---|
| 27 |
|
---|
| 28 | public void Compile(Term term)
|
---|
| 29 | {
|
---|
| 30 | term.Accept(this);
|
---|
| 31 | }
|
---|
| 32 |
|
---|
| 33 | public int Visit(Constant constant)
|
---|
| 34 | {
|
---|
| 35 | return Compile(constant, () => new Compiled.Constant(constant.Value) { Inputs = new Compiled.InputEdge[0] });
|
---|
| 36 | }
|
---|
| 37 |
|
---|
| 38 | public int Visit(Zero zero)
|
---|
| 39 | {
|
---|
| 40 | return Compile(zero, () => new Compiled.Constant(0) { Inputs = new Compiled.InputEdge[0] });
|
---|
| 41 | }
|
---|
| 42 |
|
---|
| 43 | public int Visit(ConstPower intPower)
|
---|
| 44 | {
|
---|
| 45 | return Compile(intPower, () =>
|
---|
| 46 | {
|
---|
| 47 | var baseIndex = intPower.Base.Accept(this);
|
---|
| 48 | var element = new Compiled.ConstPower
|
---|
| 49 | {
|
---|
| 50 | Base = baseIndex,
|
---|
| 51 | Exponent = intPower.Exponent,
|
---|
| 52 | Inputs = new Compiled.InputEdge[]
|
---|
| 53 | {
|
---|
| 54 | new Compiled.InputEdge { Index = baseIndex },
|
---|
| 55 | },
|
---|
| 56 | };
|
---|
| 57 |
|
---|
| 58 | return element;
|
---|
| 59 | });
|
---|
| 60 | }
|
---|
| 61 |
|
---|
| 62 | public int Visit(TermPower power)
|
---|
| 63 | {
|
---|
| 64 | return Compile(power, () =>
|
---|
| 65 | {
|
---|
| 66 | var baseIndex = power.Base.Accept(this);
|
---|
| 67 | var expIndex = power.Exponent.Accept(this);
|
---|
| 68 | var element = new Compiled.TermPower
|
---|
| 69 | {
|
---|
| 70 | Base = baseIndex,
|
---|
| 71 | Exponent = expIndex,
|
---|
| 72 | Inputs = new Compiled.InputEdge[]
|
---|
| 73 | {
|
---|
| 74 | new Compiled.InputEdge { Index = baseIndex },
|
---|
| 75 | new Compiled.InputEdge { Index = expIndex },
|
---|
| 76 | },
|
---|
| 77 | };
|
---|
| 78 |
|
---|
| 79 | return element;
|
---|
| 80 | });
|
---|
| 81 | }
|
---|
| 82 |
|
---|
| 83 | public int Visit(Product product)
|
---|
| 84 | {
|
---|
| 85 | return Compile(product, () =>
|
---|
| 86 | {
|
---|
| 87 | var leftIndex = product.Left.Accept(this);
|
---|
| 88 | var rightIndex = product.Right.Accept(this);
|
---|
| 89 | var element = new Compiled.Product
|
---|
| 90 | {
|
---|
| 91 | Left = leftIndex,
|
---|
| 92 | Right = rightIndex,
|
---|
| 93 | Inputs = new Compiled.InputEdge[]
|
---|
| 94 | {
|
---|
| 95 | new Compiled.InputEdge { Index = leftIndex },
|
---|
| 96 | new Compiled.InputEdge { Index = rightIndex },
|
---|
| 97 | }
|
---|
| 98 | };
|
---|
| 99 |
|
---|
| 100 | return element;
|
---|
| 101 | });
|
---|
| 102 | }
|
---|
| 103 |
|
---|
| 104 | public int Visit(Sum sum)
|
---|
| 105 | {
|
---|
| 106 | return Compile(sum, () =>
|
---|
| 107 | {
|
---|
| 108 | var indicesQuery = from term in sum.Terms
|
---|
| 109 | select term.Accept(this);
|
---|
| 110 | var indices = indicesQuery.ToArray();
|
---|
| 111 | var element = new Compiled.Sum
|
---|
| 112 | {
|
---|
| 113 | Terms = indices,
|
---|
| 114 | Inputs = indices.Select(x => new Compiled.InputEdge { Index = x }).ToArray(),
|
---|
| 115 | };
|
---|
| 116 |
|
---|
| 117 | return element;
|
---|
| 118 | });
|
---|
| 119 | }
|
---|
| 120 |
|
---|
| 121 | public int Visit(Variable variable)
|
---|
| 122 | {
|
---|
| 123 | return indexOf[variable];
|
---|
| 124 | }
|
---|
| 125 |
|
---|
| 126 | public int Visit(Log log)
|
---|
| 127 | {
|
---|
| 128 | return Compile(log, () =>
|
---|
| 129 | {
|
---|
| 130 | var argIndex = log.Arg.Accept(this);
|
---|
| 131 | var element = new Compiled.Log
|
---|
| 132 | {
|
---|
| 133 | Arg = argIndex,
|
---|
| 134 | Inputs = new Compiled.InputEdge[]
|
---|
| 135 | {
|
---|
| 136 | new Compiled.InputEdge { Index = argIndex },
|
---|
| 137 | },
|
---|
| 138 | };
|
---|
| 139 |
|
---|
| 140 | return element;
|
---|
| 141 | });
|
---|
| 142 | }
|
---|
| 143 |
|
---|
| 144 | public int Visit(Exp exp)
|
---|
| 145 | {
|
---|
| 146 | return Compile(exp, () =>
|
---|
| 147 | {
|
---|
| 148 | var argIndex = exp.Arg.Accept(this);
|
---|
| 149 | var element = new Compiled.Exp
|
---|
| 150 | {
|
---|
| 151 | Arg = argIndex,
|
---|
| 152 | Inputs = new Compiled.InputEdge[]
|
---|
| 153 | {
|
---|
| 154 | new Compiled.InputEdge { Index = argIndex },
|
---|
| 155 | },
|
---|
| 156 | };
|
---|
| 157 |
|
---|
| 158 | return element;
|
---|
| 159 | });
|
---|
| 160 | }
|
---|
| 161 |
|
---|
| 162 | public int Visit(UnaryFunc func)
|
---|
| 163 | {
|
---|
| 164 | return Compile(func, () =>
|
---|
| 165 | {
|
---|
| 166 | var argIndex = func.Argument.Accept(this);
|
---|
| 167 | var element = new Compiled.UnaryFunc(func.Eval, func.Diff)
|
---|
| 168 | {
|
---|
| 169 | Arg = argIndex,
|
---|
| 170 | Inputs = new Compiled.InputEdge[]
|
---|
| 171 | {
|
---|
| 172 | new Compiled.InputEdge { Index = argIndex },
|
---|
| 173 | },
|
---|
| 174 | };
|
---|
| 175 |
|
---|
| 176 | return element;
|
---|
| 177 | });
|
---|
| 178 | }
|
---|
| 179 |
|
---|
| 180 | public int Visit(BinaryFunc func)
|
---|
| 181 | {
|
---|
| 182 | return Compile(func, () =>
|
---|
| 183 | {
|
---|
| 184 | var leftIndex = func.Left.Accept(this);
|
---|
| 185 | var rightIndex = func.Right.Accept(this);
|
---|
| 186 |
|
---|
| 187 | var element = new Compiled.BinaryFunc
|
---|
| 188 | {
|
---|
| 189 | Eval = func.Eval,
|
---|
| 190 | Diff = func.Diff,
|
---|
| 191 | Left = leftIndex,
|
---|
| 192 | Right = rightIndex,
|
---|
| 193 | Inputs = new Compiled.InputEdge[]
|
---|
| 194 | {
|
---|
| 195 | new Compiled.InputEdge { Index = leftIndex },
|
---|
| 196 | new Compiled.InputEdge { Index = rightIndex },
|
---|
| 197 | }
|
---|
| 198 | };
|
---|
| 199 |
|
---|
| 200 | return element;
|
---|
| 201 | });
|
---|
| 202 | }
|
---|
| 203 |
|
---|
| 204 | public int Visit(NaryFunc func)
|
---|
| 205 | {
|
---|
| 206 | return Compile(func, () =>
|
---|
| 207 | {
|
---|
| 208 | var indicesQuery = from term in func.Terms
|
---|
| 209 | select term.Accept(this);
|
---|
| 210 | var indices = indicesQuery.ToArray();
|
---|
| 211 |
|
---|
| 212 | var element = new Compiled.NaryFunc
|
---|
| 213 | {
|
---|
| 214 | Eval = func.Eval,
|
---|
| 215 | Diff = func.Diff,
|
---|
| 216 | Terms = indices,
|
---|
| 217 | Inputs = indices.Select(x => new Compiled.InputEdge { Index = x }).ToArray(),
|
---|
| 218 | };
|
---|
| 219 |
|
---|
| 220 | return element;
|
---|
| 221 | });
|
---|
| 222 | }
|
---|
| 223 |
|
---|
| 224 |
|
---|
| 225 | private int Compile(Term term, Func<CompileResult> compiler)
|
---|
| 226 | {
|
---|
| 227 | int index;
|
---|
| 228 | if (!indexOf.TryGetValue(term, out index))
|
---|
| 229 | {
|
---|
| 230 | var compileResult = compiler();
|
---|
| 231 | tape.Add(compileResult);
|
---|
| 232 |
|
---|
| 233 | index = tape.Count - 1;
|
---|
| 234 | indexOf.Add(term, index);
|
---|
| 235 | }
|
---|
| 236 |
|
---|
| 237 | return index;
|
---|
| 238 | }
|
---|
| 239 | }
|
---|
| 240 | }
|
---|
| 241 | }
|
---|