standard_operations.h File Reference

#include <cmath>
#include <iosfwd>

Include dependency graph for standard_operations.h:

This graph shows which files directly or indirectly include this file:

Namespaces
	drake
	drake::ad

Functions
Increment and decrement
https://en.cppreference.com/w/cpp/language/operators#Increment_and_decrement
AutoDiff &	operator++ (AutoDiff &x)
	Standard prefix increment operator (i.e., ++x). More...
AutoDiff	operator++ (AutoDiff &x, int)
	Standard postfix increment operator (i.e., x++). More...
AutoDiff &	operator-- (AutoDiff &x)
	Standard prefix decrement operator (i.e., --x). More...
AutoDiff	operator-- (AutoDiff &x, int)
	Standard postfix decrement operator (i.e., x--). More...
Arithmetic operators
https://en.cppreference.com/w/cpp/language/operators#Binary_arithmetic_operators
AutoDiff &	operator+= (AutoDiff &a, const AutoDiff &b)
	Standard compound addition and assignment operator. More...
AutoDiff &	operator+= (AutoDiff &a, double b)
	Standard compound addition and assignment operator. More...
AutoDiff &	operator-= (AutoDiff &a, const AutoDiff &b)
	Standard compound subtraction and assignment operator. More...
AutoDiff &	operator-= (AutoDiff &a, double b)
	Standard compound subtraction and assignment operator. More...
AutoDiff &	operator *= (AutoDiff &a, const AutoDiff &b)
	Standard compound multiplication and assignment operator. More...
AutoDiff &	operator *= (AutoDiff &a, double b)
	Standard compound multiplication and assignment operator. More...
AutoDiff &	operator/= (AutoDiff &a, const AutoDiff &b)
	Standard compound division and assignment operator. More...
AutoDiff &	operator/= (AutoDiff &a, double b)
	Standard compound division and assignment operator. More...
AutoDiff	operator+ (AutoDiff a, const AutoDiff &b)
	Standard addition operator. More...
AutoDiff	operator+ (AutoDiff a, double b)
	Standard addition operator. More...
AutoDiff	operator+ (double a, AutoDiff b)
	Standard addition operator. More...
AutoDiff	operator+ (AutoDiff x)
	Standard unary plus operator. More...
AutoDiff	operator- (AutoDiff a, const AutoDiff &b)
	Standard subtraction operator. More...
AutoDiff	operator- (AutoDiff a, double b)
	Standard subtraction operator. More...
AutoDiff	operator- (double a, AutoDiff b)
	Standard subtraction operator. More...
AutoDiff	operator- (AutoDiff x)
	Standard unary minus operator. More...
AutoDiff	operator * (AutoDiff a, const AutoDiff &b)
	Standard multiplication operator. More...
AutoDiff	operator * (AutoDiff a, double b)
	Standard multiplication operator. More...
AutoDiff	operator * (double a, AutoDiff b)
	Standard multiplication operator. More...
AutoDiff	operator/ (AutoDiff a, const AutoDiff &b)
	Standard division operator. More...
AutoDiff	operator/ (AutoDiff a, double b)
	Standard division operator. More...
AutoDiff	operator/ (double a, const AutoDiff &b)
	Standard division operator. More...
Comparison operators
https://en.cppreference.com/w/cpp/language/operators#Comparison_operators
bool	operator< (const AutoDiff &a, const AutoDiff &b)
	Standard comparison operator. More...
bool	operator<= (const AutoDiff &a, const AutoDiff &b)
	Standard comparison operator. More...
bool	operator> (const AutoDiff &a, const AutoDiff &b)
	Standard comparison operator. More...
bool	operator>= (const AutoDiff &a, const AutoDiff &b)
	Standard comparison operator. More...
bool	operator== (const AutoDiff &a, const AutoDiff &b)
	Standard comparison operator. More...
bool	operator!= (const AutoDiff &a, const AutoDiff &b)
	Standard comparison operator. More...
bool	operator< (const AutoDiff &a, double b)
	Standard comparison operator. More...
bool	operator<= (const AutoDiff &a, double b)
	Standard comparison operator. More...
bool	operator> (const AutoDiff &a, double b)
	Standard comparison operator. More...
bool	operator>= (const AutoDiff &a, double b)
	Standard comparison operator. More...
bool	operator== (const AutoDiff &a, double b)
	Standard comparison operator. More...
bool	operator!= (const AutoDiff &a, double b)
	Standard comparison operator. More...
bool	operator< (double a, const AutoDiff &b)
	Standard comparison operator. More...
bool	operator<= (double a, const AutoDiff &b)
	Standard comparison operator. More...
bool	operator> (double a, const AutoDiff &b)
	Standard comparison operator. More...
bool	operator>= (double a, const AutoDiff &b)
	Standard comparison operator. More...
bool	operator== (double a, const AutoDiff &b)
	Standard comparison operator. More...
bool	operator!= (double a, const AutoDiff &b)
	Standard comparison operator. More...
Minimum/maximum operations
https://en.cppreference.com/w/cpp/algorithm#Minimum.2Fmaximum_operations
const AutoDiff &	max (const AutoDiff &a, const AutoDiff &b)
	ADL overload to mimic std::max from <algorithm>. More...
AutoDiff	max (AutoDiff a, double b)
	ADL overload to mimic std::max from <algorithm>. More...
AutoDiff	max (double a, AutoDiff b)
	ADL overload to mimic std::max from <algorithm>. More...
const AutoDiff &	min (const AutoDiff &a, const AutoDiff &b)
	ADL overload to mimic std::min from <algorithm>. More...
AutoDiff	min (AutoDiff a, double b)
	ADL overload to mimic std::min from <algorithm>. More...
AutoDiff	min (double a, AutoDiff b)
	ADL overload to mimic std::min from <algorithm>. More...
Math functions: Basic operations
https://en.cppreference.com/w/cpp/numeric/math#Basic_operations
AutoDiff	abs (AutoDiff x)
	ADL overload to mimic std::abs from <cmath>. More...
AutoDiff	abs2 (AutoDiff x)
	ADL overload to mimic Eigen::numext::abs2. More...
Math functions: Exponential and Power functions
https://en.cppreference.com/w/cpp/numeric/math#Exponential_functions https://en.cppreference.com/w/cpp/numeric/math#Power_functions
AutoDiff	exp (AutoDiff x)
	ADL overload to mimic std::exp from <cmath>. More...
AutoDiff	log (AutoDiff x)
	ADL overload to mimic std::log from <cmath>. More...
AutoDiff	pow (AutoDiff base, const AutoDiff &exp)
	ADL overload to mimic std::pow from <cmath>. More...
AutoDiff	pow (double base, const AutoDiff &exp)
	ADL overload to mimic std::pow from <cmath>. More...
AutoDiff	pow (AutoDiff base, double exp)
	ADL overload to mimic std::pow from <cmath>. More...
AutoDiff	sqrt (AutoDiff x)
	ADL overload to mimic std::sqrt from <cmath>. More...
Math functions: Trigonometric functions
https://en.cppreference.com/w/cpp/numeric/math#Trigonometric_functions
AutoDiff	sin (AutoDiff x)
	ADL overload to mimic std::sin from <cmath>. More...
AutoDiff	cos (AutoDiff x)
	ADL overload to mimic std::cos from <cmath>. More...
AutoDiff	tan (AutoDiff x)
	ADL overload to mimic std::tan from <cmath>. More...
AutoDiff	asin (AutoDiff x)
	ADL overload to mimic std::asin from <cmath>. More...
AutoDiff	acos (AutoDiff x)
	ADL overload to mimic std::acos from <cmath>. More...
AutoDiff	atan (AutoDiff x)
	ADL overload to mimic std::atan from <cmath>. More...
AutoDiff	atan2 (AutoDiff a, const AutoDiff &b)
	ADL overload to mimic std::atan2 from <cmath>. More...
AutoDiff	atan2 (AutoDiff a, double b)
	ADL overload to mimic std::atan2 from <cmath>. More...
AutoDiff	atan2 (double a, AutoDiff b)
	ADL overload to mimic std::atan2 from <cmath>. More...
Math functions: Hyperbolic functions
https://en.cppreference.com/w/cpp/numeric/math#Hyperbolic_functions
AutoDiff	sinh (AutoDiff x)
	ADL overload to mimic std::sinh from <cmath>. More...
AutoDiff	cosh (AutoDiff x)
	ADL overload to mimic std::cosh from <cmath>. More...
AutoDiff	tanh (AutoDiff x)
	ADL overload to mimic std::tanh from <cmath>. More...
Math functions: Nearest integer floating point operations
https://en.cppreference.com/w/cpp/numeric/math#Nearest_integer_floating_point_operations https://en.cppreference.com/w/cpp/numeric/math#Floating_point_manipulation_functions
AutoDiff	ceil (AutoDiff x)
	ADL overload to mimic std::ceil from <cmath>. More...
AutoDiff	floor (AutoDiff x)
	ADL overload to mimic std::floor from <cmath>. More...
AutoDiff	round (AutoDiff x)
	ADL overload to mimic std::round from <cmath>. More...
AutoDiff	nexttoward (AutoDiff from, long double to)
	ADL overload to mimic std::nexttoward from <cmath>. More...
bool	isfinite (const AutoDiff &x)
	ADL overload to mimic std::isfinite from <cmath>. More...
bool	isinf (const AutoDiff &x)
	ADL overload to mimic std::isinf from <cmath>. More...
bool	isnan (const AutoDiff &x)
	ADL overload to mimic std::isnan from <cmath>. More...
Miscellaneous functions
std::ostream &	operator<< (std::ostream &s, const AutoDiff &x)
	Outputs the value() part of x to the stream. More...