39 lines
979 B
Mathematica
39 lines
979 B
Mathematica
|
function varargout = pow10(varargin)
|
||
|
|
%POW10 (overloaded)
|
||
|
|
|
||
|
|
switch class(varargin{1})
|
||
|
|
|
||
|
|
case 'double'
|
||
|
|
error('Overloaded SDPVAR/POW10 CALLED WITH DOUBLE. Report error')
|
||
|
|
|
||
|
|
case 'sdpvar'
|
||
|
|
varargout{1} = InstantiateElementWise(mfilename,varargin{:});
|
||
|
|
|
||
|
|
case 'char'
|
||
|
|
|
||
|
|
operator = struct('convexity','convex','monotonicity','increasing','definiteness','positive','model','callback');
|
||
|
|
operator.convexhull = @convexhull;
|
||
|
|
operator.bounds = @bounds;
|
||
|
|
operator.derivative = @derivative;
|
||
|
|
|
||
|
|
varargout{1} = [];
|
||
|
|
varargout{2} = operator;
|
||
|
|
varargout{3} = varargin{3};
|
||
|
|
|
||
|
|
otherwise
|
||
|
|
error('SDPVAR/POW10 called with CHAR argument?');
|
||
|
|
end
|
||
|
|
|
||
|
|
function df = derivative(x)
|
||
|
|
df = log(10)*pow10(x);
|
||
|
|
|
||
|
|
function [L,U] = bounds(xL,xU)
|
||
|
|
L = pow10(xL);
|
||
|
|
U = pow10(xU);
|
||
|
|
|
||
|
|
function [Ax, Ay, b] = convexhull(xL,xU)
|
||
|
|
fL = pow10(xL);
|
||
|
|
fU = pow10(xU);
|
||
|
|
dfL = log(10)*fL;
|
||
|
|
dfU = log(10)*fU;
|
||
|
|
[Ax,Ay,b] = convexhullConvex(xL,xU,fL,fU,dfL,dfU);
|