casadi::GenericExpression< ExType > Class Template Reference

Expression interface. More...

#include <generic_expression.hpp>

Detailed Description

template<typename ExType>
class casadi::GenericExpression< ExType >

This is a common base class for SX, MX and Matrix<>, introducing a uniform syntax and implementing common functionality using the curiously recurring template pattern (CRTP) idiom.

Author

Joel Andersson

Date

2012

Extra doc: https://github.com/casadi/casadi/wiki/L_om 

Definition at line 51 of file generic_expression.hpp.

Inheritance diagram for casadi::GenericExpression< ExType >:

Collaboration diagram for casadi::GenericExpression< ExType >:

Public Member Functions
ExType &	operator+= (const ExType &y)

Static Public Member Functions
static ExType	plus (const ExType &x, const ExType &y)
	Addition: (x,y) -> x + y. More...

Protected Member Functions
const ExType &	self () const
ExType &	self ()

Friends
ExType	plus (const ExType &x, const ExType &y)
ExType	operator+ (const ExType &x, const ExType &y)
bool	is_equal (const ExType &x, const ExType &y, casadi_int depth=0)
	Check if two nodes are equivalent up to a given depth. More...
static ExType	minus (const ExType &x, const ExType &y)
	Subtraction: (x,y) -> x - y. More...
ExType	minus (const ExType &x, const ExType &y)
	Subtraction: (x,y) -> x - y. More...
ExType	operator- (const ExType &x, const ExType &y)
	Subtraction: (x,y) -> x - y. More...
ExType &	operator-= (const ExType &y)
	Subtraction: (x,y) -> x - y. More...
static ExType	times (const ExType &x, const ExType &y)
	Elementwise multiplication: (x,y) -> x .* y. More...
ExType	times (const ExType &x, const ExType &y)
	Elementwise multiplication: (x,y) -> x .* y. More...
ExType	operator* (const ExType &x, const ExType &y)
	Elementwise multiplication: (x,y) -> x .* y. More...
ExType &	operator*= (const ExType &y)
	Elementwise multiplication: (x,y) -> x .* y. More...
static ExType	rdivide (const ExType &x, const ExType &y)
	Elementwise division: (x,y) -> x ./ y. More...
ExType	rdivide (const ExType &x, const ExType &y)
	Elementwise division: (x,y) -> x ./ y. More...
ExType	operator/ (const ExType &x, const ExType &y)
	Elementwise division: (x,y) -> x ./ y. More...
ExType &	operator/= (const ExType &y)
	Elementwise division: (x,y) -> x ./ y. More...
static ExType	lt (const ExType &x, const ExType &y)
	Logical less than: (x,y) -> x < y. More...
ExType	lt (const ExType &x, const ExType &y)
	Logical less than: (x,y) -> x < y. More...
ExType	operator< (const ExType &x, const ExType &y)
	Logical less than: (x,y) -> x < y. More...
static ExType	le (const ExType &x, const ExType &y)
	Logical less or equal to: (x,y) -> x <= y. More...
ExType	le (const ExType &x, const ExType &y)
	Logical less or equal to: (x,y) -> x <= y. More...
ExType	operator<= (const ExType &x, const ExType &y)
	Logical less or equal to: (x,y) -> x <= y. More...
static ExType	gt (const ExType &x, const ExType &y)
	Logical greater than: (x,y) -> x > y. More...
ExType	gt (const ExType &x, const ExType &y)
	Logical greater than: (x,y) -> x > y. More...
ExType	operator> (const ExType &x, const ExType &y)
	Logical greater than: (x,y) -> x > y. More...
static ExType	ge (const ExType &x, const ExType &y)
	Logical greater or equal to: (x,y) -> x >= y. More...
ExType	ge (const ExType &x, const ExType &y)
	Logical greater or equal to: (x,y) -> x >= y. More...
ExType	operator>= (const ExType &x, const ExType &y)
	Logical greater or equal to: (x,y) -> x >= y. More...
static ExType	eq (const ExType &x, const ExType &y)
	Logical equal to: (x,y) -> x == y. More...
ExType	eq (const ExType &x, const ExType &y)
	Logical equal to: (x,y) -> x == y. More...
ExType	operator== (const ExType &x, const ExType &y)
	Logical equal to: (x,y) -> x == y. More...
static ExType	ne (const ExType &x, const ExType &y)
	Logical not equal to: (x,y) -> x != y. More...
ExType	ne (const ExType &x, const ExType &y)
	Logical not equal to: (x,y) -> x != y. More...
ExType	operator!= (const ExType &x, const ExType &y)
	Logical not equal to: (x,y) -> x != y. More...
static ExType	logic_and (const ExType &x, const ExType &y)
	Logical and More...
ExType	logic_and (const ExType &x, const ExType &y)
	Logical and More...
ExType	operator&& (const ExType &x, const ExType &y)
	Logical and More...
static ExType	logic_or (const ExType &x, const ExType &y)
	Logical or More...
ExType	logic_or (const ExType &x, const ExType &y)
	Logical or More...
ExType	operator|| (const ExType &x, const ExType &y)
	Logical or More...
static ExType	logic_not (const ExType &x)
	Logical not x -> !x. More...
ExType	logic_not (const ExType &x)
	Logical not x -> !x. More...
ExType	operator! () const
	Logical not x -> !x. More...
static ExType	abs (const ExType &x)
	Absolute value: x -> abs(x) More...
ExType	abs (const ExType &x)
	Absolute value: x -> abs(x) More...
ExType	fabs (const ExType &x)
	Absolute value: x -> abs(x) More...
static ExType	sqrt (const ExType &x)
	Square root: x -> sqrt(x) More...
ExType	sqrt (const ExType &x)
	Square root: x -> sqrt(x) More...
static ExType	sq (const ExType &x)
	Square: x -> x^2. More...
ExType	sq (const ExType &x)
	Square: x -> x^2. More...
static ExType	sin (const ExType &x)
	Sine: x -> sin(x) More...
ExType	sin (const ExType &x)
	Sine: x -> sin(x) More...
static ExType	cos (const ExType &x)
	Cosine: x -> cos(x) More...
ExType	cos (const ExType &x)
	Cosine: x -> cos(x) More...
static ExType	tan (const ExType &x)
	Tangent: x -> tan(x) More...
ExType	tan (const ExType &x)
	Tangent: x -> tan(x) More...
static ExType	atan (const ExType &x)
	Arc tangent: x -> atan(x) More...
ExType	atan (const ExType &x)
	Arc tangent: x -> atan(x) More...
static ExType	asin (const ExType &x)
	Arc sine: x -> asin(x) More...
ExType	asin (const ExType &x)
	Arc sine: x -> asin(x) More...
static ExType	acos (const ExType &x)
	Arc cosine: x -> acos(x) More...
ExType	acos (const ExType &x)
	Arc cosine: x -> acos(x) More...
static ExType	tanh (const ExType &x)
	Hyperbolic tangent: x -> tanh(x) More...
ExType	tanh (const ExType &x)
	Hyperbolic tangent: x -> tanh(x) More...
static ExType	sinh (const ExType &x)
	Hyperbolic sin: x -> sinh(x) More...
ExType	sinh (const ExType &x)
	Hyperbolic sin: x -> sinh(x) More...
static ExType	cosh (const ExType &x)
	Hyperbolic cosine: x -> cosh(x) More...
ExType	cosh (const ExType &x)
	Hyperbolic cosine: x -> cosh(x) More...
static ExType	atanh (const ExType &x)
	Inverse hyperbolic tangent: x -> atanh(x) More...
ExType	atanh (const ExType &x)
	Inverse hyperbolic tangent: x -> atanh(x) More...
static ExType	asinh (const ExType &x)
	Inverse hyperbolic sin: x -> asinh(x) More...
ExType	asinh (const ExType &x)
	Inverse hyperbolic sin: x -> asinh(x) More...
static ExType	acosh (const ExType &x)
	Inverse hyperbolic cosine: x -> acosh(x) More...
ExType	acosh (const ExType &x)
	Inverse hyperbolic cosine: x -> acosh(x) More...
static ExType	exp (const ExType &x)
	Elementwise exponential: x -> exp(x) More...
ExType	exp (const ExType &x)
	Elementwise exponential: x -> exp(x) More...
static ExType	log (const ExType &x)
	Natural logarithm: x -> log(x) More...
ExType	log (const ExType &x)
	Natural logarithm: x -> log(x) More...
static ExType	log10 (const ExType &x)
	Base-10 logarithm: x -> log10(x) More...
ExType	log10 (const ExType &x)
	Base-10 logarithm: x -> log10(x) More...
static ExType	log1p (const ExType &x)
	Precision variant for natural logarithm: x -> log(x+1) More...
ExType	log1p (const ExType &x)
	Precision variant for natural logarithm: x -> log(x+1) More...
static ExType	expm1 (const ExType &x)
	Precision variant for elementwise exponential: x -> exp(x)-1. More...
ExType	expm1 (const ExType &x)
	Precision variant for elementwise exponential: x -> exp(x)-1. More...
static ExType	floor (const ExType &x)
	Round down to nearest integer: x -> floor(x) More...
ExType	floor (const ExType &x)
	Round down to nearest integer: x -> floor(x) More...
static ExType	ceil (const ExType &x)
	Round up to nearest integer: x -> ceil(x) More...
ExType	ceil (const ExType &x)
	Round up to nearest integer: x -> ceil(x) More...
static ExType	erf (const ExType &x)
	Error function: x -> erf(x) More...
ExType	erf (const ExType &x)
	Error function: x -> erf(x) More...
static ExType	erfinv (const ExType &x)
	Inverse error function: x -> erfinv(x) More...
ExType	erfinv (const ExType &x)
	Inverse error function: x -> erfinv(x) More...
static ExType	sign (const ExType &x)
	Sign function: More...
ExType	sign (const ExType &x)
	Sign function: More...
static ExType	pow (const ExType &x, const ExType &y)
	Elementwise power: (x,y) -> x.^y. More...
ExType	pow (const ExType &x, const ExType &y)
	Elementwise power: (x,y) -> x.^y. More...
static ExType	mod (const ExType &x, const ExType &y)
	Remainder after division: (x,y) -> fmod(x,y) More...
ExType	mod (const ExType &x, const ExType &y)
	Remainder after division: (x,y) -> fmod(x,y) More...
ExType	fmod (const ExType &x, const ExType &y)
	Remainder after division: (x,y) -> fmod(x,y) More...
static ExType	remainder (const ExType &x, const ExType &y)
	Remainder after division: (x,y) -> remainder(x,y) More...
ExType	remainder (const ExType &x, const ExType &y)
	Remainder after division: (x,y) -> remainder(x,y) More...
static ExType	atan2 (const ExType &y, const ExType &x)
	Two argument arc tangent: (y,x) -> atan2(y,x) More...
ExType	atan2 (const ExType &y, const ExType &x)
	Two argument arc tangent: (y,x) -> atan2(y,x) More...
static ExType	if_else_zero (const ExType &x, const ExType &y)
	Conditional assignment: (x,y) -> x ? y : 0. More...
ExType	if_else_zero (const ExType &x, const ExType &y)
	Conditional assignment: (x,y) -> x ? y : 0. More...
static ExType	fmin (const ExType &x, const ExType &y)
	Smallest of two values: (x,y) -> min(x,y) More...
ExType	fmin (const ExType &x, const ExType &y)
	Smallest of two values: (x,y) -> min(x,y) More...
static ExType	fmax (const ExType &x, const ExType &y)
	Largest of two values: (x,y) -> max(x,y) More...
ExType	fmax (const ExType &x, const ExType &y)
	Largest of two values: (x,y) -> max(x,y) More...
static ExType	copysign (const ExType &x, const ExType &y)
ExType	copysign (const ExType &x, const ExType &y)
static ExType	constpow (const ExType &x, const ExType &y)
ExType	constpow (const ExType &x, const ExType &y)
static ExType	printme (const ExType &x, const ExType &y)
ExType	printme (const ExType &x, const ExType &y)
static ExType	hypot (const ExType &x, const ExType &y)
	Precision variant for 2 norm: (x,y) -> sqrt(x^2+y^2) More...
ExType	hypot (const ExType &x, const ExType &y)
	Precision variant for 2 norm: (x,y) -> sqrt(x^2+y^2) More...

Member Function Documentation

self() [1/2]

template<typename ExType >

ExType& casadi::GenericExpression< ExType >::self ( )

inlineprotected

Definition at line 55 of file generic_expression.hpp.

{ return static_cast<ExType&>(*this); }

self() [2/2]

template<typename ExType >

const ExType& casadi::GenericExpression< ExType >::self ( ) const

inlineprotected

Definition at line 54 of file generic_expression.hpp.

{ return static_cast<const ExType&>(*this); }

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The documentation for this class was generated from the following file:

• generic_expression.hpp