42 lines
972 B
Mathematica
42 lines
972 B
Mathematica
|
|
function varargout = absexp(varargin)
|
||
|
|
|
||
|
|
switch class(varargin{1})
|
||
|
|
|
||
|
|
case 'double'
|
||
|
|
varargout{1} = abs(exp(varargin{1}) - 1);
|
||
|
|
|
||
|
|
case 'sdpvar'
|
||
|
|
varargout{1} = InstantiateBuiltInScalar(mfilename,varargin{:});
|
||
|
|
|
||
|
|
case 'char'
|
||
|
|
t = varargin{2};
|
||
|
|
X = varargin{3};
|
||
|
|
|
||
|
|
F = SetupEvaluationVariable(varargin{:});
|
||
|
|
|
||
|
|
operator = struct('convexity','none','monotonicity','none','definiteness','none','model','callback');
|
||
|
|
operator.bounds = @bounds;
|
||
|
|
|
||
|
|
varargout{1} = F;
|
||
|
|
varargout{2} = operator;
|
||
|
|
varargout{3} = X;
|
||
|
|
|
||
|
|
otherwise
|
||
|
|
error('SDPVAR/LOG called with CHAR argument?');
|
||
|
|
end
|
||
|
|
|
||
|
|
function [L,U] = bounds(xL,xU)
|
||
|
|
if xL <= 0 & xU>=0
|
||
|
|
% The variable is not bounded enough yet
|
||
|
|
L = 0;
|
||
|
|
U = max([abs(exp(xL)-1) abs(exp(xU)-1)]);
|
||
|
|
else
|
||
|
|
U = max([abs(exp(xL)-1) abs(exp(xU)-1)]);
|
||
|
|
L = min([abs(exp(xL)-1) abs(exp(xU)-1)]);
|
||
|
|
end
|
||
|
|
|
||
|
|
function [Ax, Ay, b] = convexhull(xL,xU)
|
||
|
|
Ax = [];
|
||
|
|
Ay = [];
|
||
|
|
b = [];
|