Supported Operations on Expressions

MATLAB^® uses an internal expression object to represent symbolic variables for automatic differentiation calculations. This section lists the supported operations on expressions for automatic differentiation. Currently, complex or sparse values are not supported.

Arithmetic Operations
`plus`
`uplus`
`minus`
`uminus`
`times`
`rdivide`
`ldivide`
`mtimes`
`pagemtimes`
`dot`
`sum` — No support for `nanflag` or `outputtype` options
`mean` — No support for `nanflag` or `outputtype` or `Weights` options
`prod` — No support for `nanflag` or `outputtype` options
`trace`
`cumsum` — No support for `nanflag` option
`cumprod` — No support for `nanflag` option
`diff`
`power`
`transpose`
`ctranspose`

Matrix Indexing
`subsref`
`subsasgn`
Indexing (optimized `subsref`/`subsasgn`)

Matrix Combining and Reshaping
`cat`
`vertcat`
`horzcat`
`reshape`
`repmat`
`diag`
`squeeze`
`permute`
`colon`
`sign`
`trace`
`circshift`
`shiftdim` — Supports only one-output syntaxes

Trigonometric, Exponential, and Related Functions
`sqrt`
`norm` — First input must be a vector, second input must be a positive number or `"Inf"`. In particular, `norm(A)` for a non-vector matrix `A` is not supported, nor is `norm(A,p)` nor `norm(vector,"fro")`.
`sin`
`cos`
`tan`
`csc`
`sec`
`cot`
`sind`
`cosd`
`tand`
`cotd`
`secd`
`cscd`
`asin`
`acos`
`atan`
`acsc`
`asec`
`acot`
`atan2`
`asind`
`acosd`
`atand`
`acscd`
`asecd`
`acotd`
`atan2d`
`sinh`
`cosh`
`tanh`
`csch`
`sech`
`coth`
`asinh`
`acosh`
`atanh`
`acsch`
`asech`
`acoth`
`deg2rad`
`rad2deg`
`exp`
`log`
`erf`
`erfinv`
`erfc`
`erfcinv`
`gamma` — Derivative of `gamma(x)` supported only for nonnegative `x`.

Real/Complex Operations
`abs`
`conj`
`imag`
`angle`
`real`
`reallog`
`realsqrt`
`sign`
`realpow`

Discrete Operations
`ceil`
`fix`
`floor`
`round` — Supports only one-input syntax
`eps` — Supports only `eps("like",x)`
`max`
`min`
`sort` — Supports only `sort(x)` and `sort(x,dim)`; does not support option strings or other arguments.

Array Queries (return doubles)
`length`
`ndims`
`numel`
`size`

Data Creation
`false`
`true`
`flintmax`
`realmax`
`realmin`
`eye` — Does not support the `typename` syntax
`inf` — Does not support the `typename` syntax
`nan` — Does not support the `typename` syntax
`ones` — Does not support the `typename` syntax
`zeros` — Does not support the `typename` syntax
`rand` — Does not support the `typename` syntax
`randi` — Does not support the `typename` syntax
`randn` — Does not support the `typename` syntax
`createArray` — Supports `createArray(dims,"like",Expression)`, `createArray(dims,"like",Expression,FillValue=numeric)`, and `createArray(dims,"like",Expression,FillValue=Expression)`.The resulting gradients are zero, except when the gradient is with respect to a `FillValue` that is an expression. The syntax `createArray(dims,"like",numeric,FillValue=Expression)` throws an error because casting from expression to numeric is not supported.

Advanced Matrix Operations
`mpower` — Supports these cases: `scalar^scalar`, either or both scalars can be expressions or numeric values. `matrix^scalar`, where `scalar` is a nonnegative integer and not an expression. In particular, `scalar^matrix` is not supported.
`prod` — No support for `nanflag` or `outputtype` options
`mldivide` — Supports division by scalar only
`mrdivide` — Supports division by scalar only
`vecnorm`
`kron`

Logical and Comparison
`all`
`and`
`any`
`eq`
`ge`
`gt`
`le`
`lt`
`ne`
`not`
`or`
`xor`

Data Types and Conversion
`cast` — Supports `cast(Expression,"double")`, `cast(Expression,"single")`, `cast(Expression,"logical")`, and `cast(A,"like",Expression)`, where `A` can be numeric or an expression object.
`double`
`logical`
`single`

Comparison Tests
`isequal`
`isequaln`
`isfinite`
`isempty`
`isinf`
`isnan`
`iscolumn`
`ismatrix`
`isrow`
`isscalar`
`isvector`

Programming Statements
`for` loop
`if`/`else`

Supported Operations on Expressions

See Also

Topics