Automatic Differentiation
 
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stan::math::operands_and_partials< Op1, Op2, Op3, Op4, Op5, Op6, Op7, Op8, T_return_type > Class Template Reference

Detailed Description

template<typename Op1, typename Op2, typename Op3, typename Op4, typename Op5, typename Op6, typename Op7, typename Op8, typename T_return_type>
class stan::math::operands_and_partials< Op1, Op2, Op3, Op4, Op5, Op6, Op7, Op8, T_return_type >

This template builds partial derivatives with respect to a set of operands.

There are two reason for the generality of this class. The first is to handle vector and scalar arguments without needing to write additional code. The second is to use this class for writing probability distributions that handle primitives, reverse mode, and forward mode variables seamlessly.

Conceptually, this class is used when we want to manually calculate the derivative of a function and store this manual result on the autodiff stack in a sort of "compressed" form. Think of it like an easy-to-use interface to rev/core/precomputed_gradients.

This class supports nested container ("multivariate") use-cases as well by exposing a partials_vec_ member on edges of the appropriate type.

This base template is instantiated when all operands are primitives and we don't want to calculate derivatives at all. So all Op1 - Op8 must be arithmetic primitives like int or double. This is controlled with the T_return_type type parameter.

Template Parameters
Op1type of the first operand
Op2type of the second operand
Op3type of the third operand
Op4type of the fourth operand
Op5type of the fifth operand
Op6type of the sixth operand
Op7type of the seventh operand
Op8type of the eighth operand
T_return_typereturn type of the expression. This defaults to calling a template metaprogram that calculates the scalar promotion of Op1..Op8

Definition at line 153 of file operands_and_partials.hpp.

#include <operands_and_partials.hpp>

Public Member Functions

 operands_and_partials (const Op1 &) noexcept
 
 operands_and_partials (const Op1 &, const Op2 &) noexcept
 
 operands_and_partials (const Op1 &, const Op2 &, const Op3 &) noexcept
 
 operands_and_partials (const Op1 &, const Op2 &, const Op3 &, const Op4 &) noexcept
 
 operands_and_partials (const Op1 &, const Op2 &, const Op3 &, const Op4 &, const Op5 &) noexcept
 
 operands_and_partials (const Op1 &, const Op2 &, const Op3 &, const Op4 &, const Op5 &, const Op6 &) noexcept
 
 operands_and_partials (const Op1 &, const Op2 &, const Op3 &, const Op4 &, const Op5 &, const Op6 &, const Op7 &) noexcept
 
 operands_and_partials (const Op1 &, const Op2 &, const Op3 &, const Op4 &, const Op5 &, const Op6 &, const Op7 &, const Op8 &) noexcept
 
double build (double value) const noexcept
 Build the node to be stored on the autodiff graph.
 

Public Attributes

internal::ops_partials_edge< double, std::decay_t< Op1 > > edge1_
 
internal::ops_partials_edge< double, std::decay_t< Op2 > > edge2_
 
internal::ops_partials_edge< double, std::decay_t< Op3 > > edge3_
 
internal::ops_partials_edge< double, std::decay_t< Op4 > > edge4_
 
internal::ops_partials_edge< double, std::decay_t< Op5 > > edge5_
 
internal::ops_partials_edge< double, std::decay_t< Op6 > > edge6_
 
internal::ops_partials_edge< double, std::decay_t< Op7 > > edge7_
 
internal::ops_partials_edge< double, std::decay_t< Op8 > > edge8_
 

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