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1 |
| -classdef RHS |
| 1 | +classdef RHS |
2 | 2 | properties (SetAccess = private)
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3 | 3 | F
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4 | 4 |
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22 | 22 | OnEvent
|
23 | 23 | end
|
24 | 24 |
|
| 25 | + properties (Dependent) |
| 26 | + JacobianMatrix |
| 27 | + JacobianFunction |
| 28 | + MassMatrix |
| 29 | + MassFunction |
| 30 | + end |
| 31 | + |
25 | 32 | methods
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26 | 33 | function obj = RHS(F, varargin)
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27 | 34 | obj.F = F;
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34 | 41 | end
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35 | 42 | end
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36 | 43 |
|
| 44 | + function mat = get.JacobianMatrix(obj) |
| 45 | + mat = obj.prop2Matrix(obj.Jacobian); |
| 46 | + end |
| 47 | + |
| 48 | + function fun = get.JacobianFunction(obj) |
| 49 | + fun = obj.prop2Function(obj.Jacobian); |
| 50 | + end |
| 51 | + |
| 52 | + function mat = get.MassMatrix(obj) |
| 53 | + mat = obj.prop2Matrix(obj.Mass); |
| 54 | + end |
| 55 | + |
| 56 | + function fun = get.MassFunction(obj) |
| 57 | + fun = obj.prop2Function(obj.Mass); |
| 58 | + end |
| 59 | + |
| 60 | + function obj = uplus(obj) |
| 61 | + end |
| 62 | + |
| 63 | + function newRHS = uminus(obj) |
| 64 | + newRHS = mtimes(-1, obj); |
| 65 | + end |
| 66 | + |
| 67 | + function newRHS = plus(obj1, obj2) |
| 68 | + newRHS = applyOp(obj1, obj2, @plus, @(r, ~) r, @(~, r) r, @plus); |
| 69 | + end |
| 70 | + |
| 71 | + function newRHS = minus(obj1, obj2) |
| 72 | + newRHS = applyOp(obj1, obj2, @minus, @(r, ~) r, @(~, r) -r, @minus); |
| 73 | + end |
| 74 | + |
| 75 | + function newRHS = mtimes(obj1, obj2) |
| 76 | + newRHS = applyOp(obj1, obj2, @mtimes, @mtimes, @mtimes, []); |
| 77 | + end |
| 78 | + |
| 79 | + function newRHS = times(obj1, obj2) |
| 80 | + newRHS = applyOp(obj1, obj2, @times, @times, @times, []); |
| 81 | + end |
| 82 | + |
| 83 | + function newRHS = rdivide(obj1, obj2) |
| 84 | + newRHS = applyOp(obj1, obj2, @rdivide, @rdivide, @rdivide, []); |
| 85 | + end |
| 86 | + |
| 87 | + function newRHS = ldivide(obj1, obj2) |
| 88 | + newRHS = applyOp(obj1, obj2, @ldivide, @ldivide, @ldivide, []); |
| 89 | + end |
| 90 | + |
| 91 | + function newRHS = mrdivide(obj1, obj2) |
| 92 | + newRHS = applyOp(obj1, obj2, @mrdivide, @mrdivide, @mrdivide, []); |
| 93 | + end |
| 94 | + |
| 95 | + function newRHS = mldivide(obj1, obj2) |
| 96 | + newRHS = applyOp(obj1, obj2, @mldivide, @mldivide, @mldivide, []); |
| 97 | + end |
| 98 | + |
| 99 | + function newRHS = power(obj1, obj2) |
| 100 | + newRHS = applyOp(obj1, obj2, @power, [], [], []); |
| 101 | + end |
| 102 | + |
| 103 | + function newRHS = mpower(obj1, obj2) |
| 104 | + newRHS = applyOp(obj1, obj2, @mpower, [], [], []); |
| 105 | + end |
| 106 | + |
37 | 107 | function opts = odeset(obj, varargin)
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38 | 108 | opts = odeset( ...
|
39 | 109 | 'Events', obj.Events, ...
|
|
48 | 118 | 'Vectorized', obj.Vectorized, ...
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49 | 119 | varargin{:});
|
50 | 120 | end
|
| 121 | + |
| 122 | + end |
| 123 | + |
| 124 | + methods (Access = private) |
| 125 | + function mat = prop2Matrix(~, p) |
| 126 | + if isa(p, 'function_handle') |
| 127 | + mat = []; |
| 128 | + else |
| 129 | + mat = p; |
| 130 | + end |
| 131 | + end |
| 132 | + |
| 133 | + function fun = prop2Function(~, p) |
| 134 | + if isa(p, 'function_handle') || isempty(p) |
| 135 | + fun = p; |
| 136 | + else |
| 137 | + fun = @(varargin) p; |
| 138 | + end |
| 139 | + end |
| 140 | + |
| 141 | + function newRHS = applyOp(obj1, obj2, op, dOpLeft, dOpRight, dOpBoth) |
| 142 | + if isa(obj1, 'function_handle') |
| 143 | + obj1 = otp.RHS(obj1); |
| 144 | + elseif isa(obj2, 'function_handle') |
| 145 | + obj2 = otp.RHS(obj2); |
| 146 | + end |
| 147 | + |
| 148 | + if isa(obj1, 'otp.RHS') |
| 149 | + primaryRHS = obj1; |
| 150 | + if isa(obj2, 'otp.RHS') |
| 151 | + f = otp.RHS.mergeProp(obj1.F, obj2.F, op); |
| 152 | + merge = @(p) otp.RHS.mergeProp(obj1.(p), obj2.(p), dOpBoth); |
| 153 | + |
| 154 | + if strcmp(obj1.Vectorized, obj2.Vectorized) |
| 155 | + vectorized = obj1.Vectorized; |
| 156 | + end |
| 157 | + else |
| 158 | + f = otp.RHS.mergeProp(obj1.F, obj2, op); |
| 159 | + merge = @(p) otp.RHS.mergeProp(obj1.(p), obj2, dOpLeft); |
| 160 | + vectorized = obj1.Vectorized; |
| 161 | + end |
| 162 | + else |
| 163 | + primaryRHS = obj2; |
| 164 | + f = otp.RHS.mergeProp(obj1, obj2.F, op); |
| 165 | + merge = @(p) otp.RHS.mergeProp(obj1, obj2.(p), dOpRight); |
| 166 | + vectorized = obj2.Vectorized; |
| 167 | + end |
| 168 | + |
| 169 | + % Events and NonNegative practically cannot be supported and are |
| 170 | + % always unset. |
| 171 | + |
| 172 | + % JPattern is problematic to compute for division operators due to |
| 173 | + % singular patterns |
| 174 | + |
| 175 | + % Mass matrices introduce several difficulties. When singular, it |
| 176 | + % makes it infeasible to update InitialSlope, and therefore, it is |
| 177 | + % always unset. To avoid issues with two RHS' having different mass |
| 178 | + % matrices, only the primary RHS is used. |
| 179 | + |
| 180 | + newRHS = otp.RHS(f, ... |
| 181 | + 'Mass', primaryRHS.Mass, ... |
| 182 | + 'MassSingular', primaryRHS.MassSingular, ... |
| 183 | + 'MStateDependence', primaryRHS.MStateDependence, ... |
| 184 | + 'MvPattern', primaryRHS.MvPattern, ... |
| 185 | + 'Jacobian', merge('Jacobian'), ... |
| 186 | + 'JacobianVectorProduct', merge('JacobianVectorProduct'), ... |
| 187 | + 'JacobianAdjointVectorProduct', ... |
| 188 | + merge('JacobianAdjointVectorProduct'), ... |
| 189 | + 'PartialDerivativeParameters', ... |
| 190 | + merge('PartialDerivativeParameters'), ... |
| 191 | + 'PartialDerivativeTime', merge('PartialDerivativeTime'), ... |
| 192 | + 'HessianVectorProduct', merge('HessianVectorProduct'), ... |
| 193 | + 'HessianAdjointVectorProduct', ... |
| 194 | + merge('HessianAdjointVectorProduct'), ... |
| 195 | + 'Vectorized', vectorized); |
| 196 | + end |
| 197 | + end |
| 198 | + |
| 199 | + methods (Static, Access = private) |
| 200 | + function p = mergeProp(p1, p2, op) |
| 201 | + if isempty(p1) || isempty(p2) || isempty(op) |
| 202 | + p = []; |
| 203 | + elseif isa(p1, 'function_handle') |
| 204 | + if isa(p2, 'function_handle') |
| 205 | + p = @(varargin) op(p1(varargin{:}), p2(varargin{:})); |
| 206 | + else |
| 207 | + p = @(varargin) op(p1(varargin{:}), p2); |
| 208 | + end |
| 209 | + elseif isa(p2, 'function_handle') |
| 210 | + p = @(varargin) op(p1, p2(varargin{:})); |
| 211 | + else |
| 212 | + p = op(p1, p2); |
| 213 | + end |
| 214 | + end |
51 | 215 | end
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52 | 216 | end
|
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