ParsedVectorRealReductionReporter

Use a parsed function to iterate through a vector and reduce it to a scalar.

Overview

ParsedVectorRealReductionReporter performs a reduction on the elements of a vector in a reporter using a parsed function expression containing only two variables, reduction_value and indexed_value. reduction_value is the variable containing the reduced value and is initialized by "initial_value". indexed_value is the current vector element being operated on by the parsed function.

Different initial conditions and parsed function expressions will provide a vector sum, vector multiplication, vector sum of squares, and max as shown in Listing 1.

Listing 1:

[Reporters<<<{"href": "../../syntax/Reporters/index.html"}>>>]
  [vec_d]
    type = ConstantReporter<<<{"description": "Reporter with constant values to be accessed by other objects, can be modified using transfers.", "href": "ConstantReporter.html"}>>>
    real_vector_names<<<{"description": "Names for each vector of reals value."}>>> = 'vec_d'
    real_vector_values<<<{"description": "Values for vectors of reals."}>>> = '1 2 3 4'
    outputs<<<{"description": "Vector of output names where you would like to restrict the output of variables(s) associated with this object"}>>> = none
  []

  [vector_sum]
    type = ParsedVectorRealReductionReporter<<<{"description": "Use a parsed function to iterate through a vector and reduce it to a scalar.", "href": "ParsedVectorRealReductionReporter.html"}>>>
    name<<<{"description": "Name of output reporter."}>>> = sum
    reporter_name<<<{"description": "Reporter name with vector to reduce."}>>> = vec_d/vec_d
    initial_value<<<{"description": "Value to intialize the reduction with."}>>> = 0
    expression<<<{"description": "function expression"}>>> = 'reduction_value+indexed_value'
  []

  [vector_sqsum]
    type = ParsedVectorRealReductionReporter<<<{"description": "Use a parsed function to iterate through a vector and reduce it to a scalar.", "href": "ParsedVectorRealReductionReporter.html"}>>>
    name<<<{"description": "Name of output reporter."}>>> = sqsum
    reporter_name<<<{"description": "Reporter name with vector to reduce."}>>> = vec_d/vec_d
    initial_value<<<{"description": "Value to intialize the reduction with."}>>> = 0
    expression<<<{"description": "function expression"}>>> = 'reduction_value+indexed_value*indexed_value'
  []

  [vector_multiply]
    type = ParsedVectorRealReductionReporter<<<{"description": "Use a parsed function to iterate through a vector and reduce it to a scalar.", "href": "ParsedVectorRealReductionReporter.html"}>>>
    name<<<{"description": "Name of output reporter."}>>> = multiply
    reporter_name<<<{"description": "Reporter name with vector to reduce."}>>> = vec_d/vec_d
    initial_value<<<{"description": "Value to intialize the reduction with."}>>> = 1
    expression<<<{"description": "function expression"}>>> = 'reduction_value*indexed_value'
  []

  [vector_max]
    type = ParsedVectorRealReductionReporter<<<{"description": "Use a parsed function to iterate through a vector and reduce it to a scalar.", "href": "ParsedVectorRealReductionReporter.html"}>>>
    name<<<{"description": "Name of output reporter."}>>> = max
    reporter_name<<<{"description": "Reporter name with vector to reduce."}>>> = vec_d/vec_d
    initial_value<<<{"description": "Value to intialize the reduction with."}>>> = -100000
    expression<<<{"description": "function expression"}>>> = 'max(reduction_value,indexed_value)'
  []
[]

Optimization use case

ParsedVectorRealReductionReporter and ParsedVectorVectorRealReductionReporter were created to process data cloned into a StochasticReporter from a SamplerReporterTransfer as shown in Listing 2. In this case, A ParsedVectorRealReductionReporter is needed to sum each samplers objective function returned to the StochasticReporter. This set-up allows us to optimize parameters that combine multiple forward problems created and run in parallel using the sampler system. The scalar reporter computed by ParsedVectorRealReductionReporter is then be transferred as the objective value into GeneralOptimization.

Listing 2:

[Transfers<<<{"href": "../../syntax/Transfers/index.html"}>>>]
  [setPrameters]
    type = MultiAppReporterTransfer<<<{"description": "Transfers reporter data between two applications.", "href": "../transfers/MultiAppReporterTransfer.html"}>>>
    to_multi_app<<<{"description": "The name of the MultiApp to transfer the data to"}>>> = model_grad
    from_reporters<<<{"description": "List of the reporter names (object_name/value_name) to transfer the value from."}>>> = 'parameters/vals'
    to_reporters<<<{"description": "List of the reporter names (object_name/value_name) to transfer the value to."}>>> = 'vals/vals'
    execute_on<<<{"description": "The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html."}>>> = 'TIMESTEP_BEGIN'
  []
  [ObjectivesGradients]
    type = MultiAppReporterTransfer<<<{"description": "Transfers reporter data between two applications.", "href": "../transfers/MultiAppReporterTransfer.html"}>>>
    from_multi_app<<<{"description": "The name of the MultiApp to receive data from"}>>> = model_grad
    from_reporters<<<{"description": "List of the reporter names (object_name/value_name) to transfer the value from."}>>> = 'grad_f/grad_f obj_pp/value'
    to_reporters<<<{"description": "List of the reporter names (object_name/value_name) to transfer the value to."}>>> = 'from_sub_rep/rec_vec_vec from_sub_rep/rec_vec'
    distribute_reporter_vector<<<{"description": "Transfer to/from a vector reporter from/to reporters on child applications. N to 1 or 1 to N type of transfer. The number of child applications must match the size of the vector reporter"}>>> = true
  []
[]

[Reporters<<<{"href": "../../syntax/Reporters/index.html"}>>>]
  [from_sub_rep]
    type = ConstantReporter<<<{"description": "Reporter with constant values to be accessed by other objects, can be modified using transfers.", "href": "ConstantReporter.html"}>>>
    real_vector_vector_names<<<{"description": "Names for each vector of vectors of reals value."}>>> = 'rec_vec_vec'
    real_vector_vector_values<<<{"description": "Values for vectors of vectors of reals."}>>> = '0'
    real_vector_names<<<{"description": "Names for each vector of reals value."}>>> = 'rec_vec'
    real_vector_values<<<{"description": "Values for vectors of reals."}>>> = "0."
    outputs<<<{"description": "Vector of output names where you would like to restrict the output of variables(s) associated with this object"}>>> = out
  []
  [parameters]
    type = ConstantReporter<<<{"description": "Reporter with constant values to be accessed by other objects, can be modified using transfers.", "href": "ConstantReporter.html"}>>>
    real_vector_names<<<{"description": "Names for each vector of reals value."}>>> = 'vals'
    real_vector_values<<<{"description": "Values for vectors of reals."}>>> = '0 4'
  []
  [obj_sum]
    type = ParsedVectorRealReductionReporter<<<{"description": "Use a parsed function to iterate through a vector and reduce it to a scalar.", "href": "ParsedVectorRealReductionReporter.html"}>>>
    name<<<{"description": "Name of output reporter."}>>> = value
    reporter_name<<<{"description": "Reporter name with vector to reduce."}>>> = from_sub_rep/rec_vec
    initial_value<<<{"description": "Value to intialize the reduction with."}>>> = 0
    expression<<<{"description": "function expression"}>>> = 'reduction_value+indexed_value'
  []
  [grad_sum]
    type = ParsedVectorVectorRealReductionReporter<<<{"description": "Use a parsed function to iterate through a rows of a vector of vector and reduce it to a vector.", "href": "ParsedVectorVectorRealReductionReporter.html"}>>>
    name<<<{"description": "Name of output reporter."}>>> = row_sum
    reporter_name<<<{"description": "Reporter name with vector of vectors to reduce."}>>> = "from_sub_rep/rec_vec_vec"
    initial_value<<<{"description": "Value to intialize the reduction with."}>>> = 0
    expression<<<{"description": "function expression"}>>> = 'reduction_value+indexed_value'
  []
[]

Input Parameters

expressionfunction expression
C++ Type:FunctionExpression
Unit:(no unit assumed)
Controllable:No
Description:function expression
initial_valueValue to intialize the reduction with.
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Value to intialize the reduction with.
reporter_nameReporter name with vector to reduce.
C++ Type:ReporterName
Controllable:No
Description:Reporter name with vector to reduce.

Required Parameters

constant_expressionsVector of values for the constants in constant_names (can be an FParser expression)
C++ Type:std::vector<std::string>
Controllable:No
Description:Vector of values for the constants in constant_names (can be an FParser expression)
constant_namesVector of constants used in the parsed function (use this for kB etc.)
C++ Type:std::vector<std::string>
Controllable:No
Description:Vector of constants used in the parsed function (use this for kB etc.)
epsilon0Fuzzy comparison tolerance
Default:0
C++ Type:double
Unit:(no unit assumed)
Controllable:No
Description:Fuzzy comparison tolerance
nameresultName of output reporter.
Default:result
C++ Type:std::string
Controllable:No
Description:Name of output reporter.
use_tFalseMake time (t) variables available in the function expression.
Default:False
C++ Type:bool
Controllable:No
Description:Make time (t) variables available in the function expression.

Optional Parameters

allow_duplicate_execution_on_initialFalseIn the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
Default:False
C++ Type:bool
Controllable:No
Description:In the case where this UserObject is depended upon by an initial condition, allow it to be executed twice during the initial setup (once before the IC and again after mesh adaptivity (if applicable).
execute_onTIMESTEP_ENDThe list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.
Default:TIMESTEP_END
C++ Type:ExecFlagEnum
Options:XFEM_MARK, FORWARD, ADJOINT, HOMOGENEOUS_FORWARD, ADJOINT_TIMESTEP_BEGIN, ADJOINT_TIMESTEP_END, NONE, INITIAL, LINEAR, LINEAR_CONVERGENCE, NONLINEAR, NONLINEAR_CONVERGENCE, POSTCHECK, TIMESTEP_END, TIMESTEP_BEGIN, MULTIAPP_FIXED_POINT_END, MULTIAPP_FIXED_POINT_BEGIN, MULTIAPP_FIXED_POINT_CONVERGENCE, FINAL, CUSTOM
Controllable:No
Description:The list of flag(s) indicating when this object should be executed. For a description of each flag, see https://mooseframework.inl.gov/source/interfaces/SetupInterface.html.
execution_order_group0Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
Default:0
C++ Type:int
Controllable:No
Description:Execution order groups are executed in increasing order (e.g., the lowest number is executed first). Note that negative group numbers may be used to execute groups before the default (0) group. Please refer to the user object documentation for ordering of user object execution within a group.
force_postauxFalseForces the UserObject to be executed in POSTAUX
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in POSTAUX
force_preauxFalseForces the UserObject to be executed in PREAUX
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in PREAUX
force_preicFalseForces the UserObject to be executed in PREIC during initial setup
Default:False
C++ Type:bool
Controllable:No
Description:Forces the UserObject to be executed in PREIC during initial setup

Execution Scheduling Parameters

control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
outputsVector of output names where you would like to restrict the output of variables(s) associated with this object
C++ Type:std::vector<OutputName>
Controllable:No
Description:Vector of output names where you would like to restrict the output of variables(s) associated with this object
use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Controllable:No
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.

Advanced Parameters

disable_fpoptimizerFalseDisable the function parser algebraic optimizer
Default:False
C++ Type:bool
Controllable:No
Description:Disable the function parser algebraic optimizer
enable_ad_cacheTrueEnable caching of function derivatives for faster startup time
Default:True
C++ Type:bool
Controllable:No
Description:Enable caching of function derivatives for faster startup time
enable_auto_optimizeTrueEnable automatic immediate optimization of derivatives
Default:True
C++ Type:bool
Controllable:No
Description:Enable automatic immediate optimization of derivatives
enable_jitTrueEnable just-in-time compilation of function expressions for faster evaluation
Default:True
C++ Type:bool
Controllable:No
Description:Enable just-in-time compilation of function expressions for faster evaluation
evalerror_behaviornanWhat to do if evaluation error occurs. Options are to pass a nan, pass a nan with a warning, throw a error, or throw an exception
Default:nan
C++ Type:MooseEnum
Options:nan, nan_warning, error, exception
Controllable:No
Description:What to do if evaluation error occurs. Options are to pass a nan, pass a nan with a warning, throw a error, or throw an exception

Parsed Expression Advanced Parameters

prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Unit:(no unit assumed)
Controllable:No
Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
use_interpolated_stateFalseFor the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.
Default:False
C++ Type:bool
Controllable:No
Description:For the old and older state use projected material properties interpolated at the quadrature points. To set up projection use the ProjectedStatefulMaterialStorageAction.

Material Property Retrieval Parameters

Input Files

(modules/optimization/test/tests/reporters/multiExperiment/sampler_subapp.i)
(modules/optimization/examples/materialFrequency/wave1D/sampler.i)
(modules/optimization/test/tests/optimizationreporter/bc_load_linearFunction/forward_and_adjoint.i)
(modules/optimization/test/tests/reporters/vector_math/vectorMath.i)

(modules/optimization/test/tests/reporters/vector_math/vectorMath.i)

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 1
  []
[]

[Problem]
  solve = false
[]

[Executioner]
  type = Steady
[]

[Reporters]
  [dataFromVofV]
    type=VectorOfVectorTestReporter
    name = v_of_v
    vector_of_vectors = '101 201; 102 202; 103 203'
    outputs=none
  []
  [vecvec_sum]
    type = ParsedVectorVectorRealReductionReporter
    name = sum
    reporter_name= 'dataFromVofV/v_of_v'
    initial_value = 0
    expression = 'reduction_value+indexed_value'
  []
  [vecvec_sqsum]
    type = ParsedVectorVectorRealReductionReporter
    name = sqsum
    reporter_name= 'dataFromVofV/v_of_v'
    initial_value = 0
    expression = 'reduction_value+indexed_value*indexed_value'
  []
  [vecvec_multiply]
    type = ParsedVectorVectorRealReductionReporter
    name = multiply
    reporter_name= 'dataFromVofV/v_of_v'
    initial_value = 1
    expression = 'reduction_value*indexed_value'
  []
  [vecvec_max]
    type = ParsedVectorVectorRealReductionReporter
    name = max
    reporter_name= 'dataFromVofV/v_of_v'
    initial_value = -100000
    expression = 'max(reduction_value,indexed_value)'
  []

  [vecs]
    type = ConstantReporter
    real_vector_names = 'vec_a vec_b vec_c vec_d'
    real_vector_values = '1 2 3; 10 20 30; 100 10 1; 1 2 3 4'
    real_names = 'a b c'
    real_values='1 10 100'
    outputs=none
  []
  [vectorOperation]
    type = ParsedVectorReporter
    name = inner
    reporter_names = 'vecs/vec_a vecs/vec_b vecs/vec_c'
    reporter_symbols = 'a b c'
    constant_names = 'constant1 constant2'
    constant_expressions = '10 20'
    expression = '(a+b)*c+constant1+constant2'
  []
  [scalarOperation]
    type = ParsedScalarReporter
    name = inner
    reporter_names = 'vecs/a vecs/b vecs/c'
    reporter_symbols = 'a b c'
    constant_names = 'constant1 constant2'
    constant_expressions = '10 20'
    expression = '(a+b)*c+constant1+constant2'
  []

  [vec_d]
    type = ConstantReporter
    real_vector_names = 'vec_d'
    real_vector_values = '1 2 3 4'
    outputs=none
  []
  [vector_sum]
    type = ParsedVectorRealReductionReporter
    name = sum
    reporter_name= vec_d/vec_d
    initial_value = 0
    expression = 'reduction_value+indexed_value'
  []
  [vector_sqsum]
    type = ParsedVectorRealReductionReporter
    name = sqsum
    reporter_name= vec_d/vec_d
    initial_value = 0
    expression = 'reduction_value+indexed_value*indexed_value'
  []
  [vector_multiply]
    type = ParsedVectorRealReductionReporter
    name = multiply
    reporter_name= vec_d/vec_d
    initial_value = 1
    expression = 'reduction_value*indexed_value'
  []
  [vector_max]
    type = ParsedVectorRealReductionReporter
    name = max
    reporter_name= vec_d/vec_d
    initial_value = -100000
    expression = 'max(reduction_value,indexed_value)'
  []
[]

[Outputs]
  csv=true
[]

(modules/optimization/test/tests/reporters/multiExperiment/sampler_subapp.i)

[Problem]
  kernel_coverage_check = false
  solve = false
[]
[Executioner]
  type = Steady
[]
[Mesh]
  [generate]
    type = GeneratedMeshGenerator
    dim = 1
  []
[]

[MultiApps]
  [model_grad]
    type = FullSolveMultiApp
    input_files = forward.i
    min_procs_per_app = 1
    positions = '0 0 0
                 0 0 0
                 0 0 0'
    cli_args = 'omega=2.0
                omega=3.0
                omega=5.0'
  []
[]
[Reporters]
  [from_sub_rep]
    type = ConstantReporter
    real_vector_vector_names = 'rec_vec_vec'
    real_vector_vector_values = '0'
    real_vector_names = 'rec_vec'
    real_vector_values = "0."
    outputs = out
  []
  [parameters]
    type = ConstantReporter
    real_vector_names = 'vals'
    real_vector_values = '0 4'
  []
  [obj_sum]
    type = ParsedVectorRealReductionReporter
    name = value
    reporter_name = from_sub_rep/rec_vec
    initial_value = 0
    expression = 'reduction_value+indexed_value'
  []
  [grad_sum]
    type = ParsedVectorVectorRealReductionReporter
    name = row_sum
    reporter_name = "from_sub_rep/rec_vec_vec"
    initial_value = 0
    expression = 'reduction_value+indexed_value'
  []
[]
[Transfers]
  [setPrameters]
    type = MultiAppReporterTransfer
    to_multi_app = model_grad
    from_reporters = 'parameters/vals'
    to_reporters = 'vals/vals'
    execute_on = 'TIMESTEP_BEGIN'
  []
  [ObjectivesGradients]
    type = MultiAppReporterTransfer
    from_multi_app = model_grad
    from_reporters = 'grad_f/grad_f obj_pp/value'
    to_reporters = 'from_sub_rep/rec_vec_vec from_sub_rep/rec_vec'
    distribute_reporter_vector = true
  []
[]

[Outputs]
  csv = false
  json = false
  console = false
[]

(modules/optimization/test/tests/reporters/multiExperiment/sampler_subapp.i)

[Problem]
  kernel_coverage_check = false
  solve = false
[]
[Executioner]
  type = Steady
[]
[Mesh]
  [generate]
    type = GeneratedMeshGenerator
    dim = 1
  []
[]

[MultiApps]
  [model_grad]
    type = FullSolveMultiApp
    input_files = forward.i
    min_procs_per_app = 1
    positions = '0 0 0
                 0 0 0
                 0 0 0'
    cli_args = 'omega=2.0
                omega=3.0
                omega=5.0'
  []
[]
[Reporters]
  [from_sub_rep]
    type = ConstantReporter
    real_vector_vector_names = 'rec_vec_vec'
    real_vector_vector_values = '0'
    real_vector_names = 'rec_vec'
    real_vector_values = "0."
    outputs = out
  []
  [parameters]
    type = ConstantReporter
    real_vector_names = 'vals'
    real_vector_values = '0 4'
  []
  [obj_sum]
    type = ParsedVectorRealReductionReporter
    name = value
    reporter_name = from_sub_rep/rec_vec
    initial_value = 0
    expression = 'reduction_value+indexed_value'
  []
  [grad_sum]
    type = ParsedVectorVectorRealReductionReporter
    name = row_sum
    reporter_name = "from_sub_rep/rec_vec_vec"
    initial_value = 0
    expression = 'reduction_value+indexed_value'
  []
[]
[Transfers]
  [setPrameters]
    type = MultiAppReporterTransfer
    to_multi_app = model_grad
    from_reporters = 'parameters/vals'
    to_reporters = 'vals/vals'
    execute_on = 'TIMESTEP_BEGIN'
  []
  [ObjectivesGradients]
    type = MultiAppReporterTransfer
    from_multi_app = model_grad
    from_reporters = 'grad_f/grad_f obj_pp/value'
    to_reporters = 'from_sub_rep/rec_vec_vec from_sub_rep/rec_vec'
    distribute_reporter_vector = true
  []
[]

[Outputs]
  csv = false
  json = false
  console = false
[]

(modules/optimization/examples/materialFrequency/wave1D/sampler.i)

[Problem]
  kernel_coverage_check = false
  solve = false
[]
[Executioner]
  type = Steady
[]
[Mesh]
  [generate]
    type = GeneratedMeshGenerator
    dim = 1
  []
[]

[MultiApps]
  [model_grad]
    type = FullSolveMultiApp
    input_files = model_grad.i
    min_procs_per_app = 1
    #this creates 4 subapps
    positions = '0 0 0
                 0 0 0
                 0 0 0
                 0 0 0'
    cli_args = 'id=1;frequencyHz=1.0
                id=2;frequencyHz=2.0
                id=3;frequencyHz=3.0
                id=4;frequencyHz=4.0'
  []
[]
[Reporters]
  [from_sub_rep]
    type = ConstantReporter
    real_vector_vector_names = 'rec_vec_vec'
    real_vector_vector_values = '0'
    real_vector_names = 'rec_vec'
    real_vector_values = "0."
    outputs = out
  []
  [parameters]
    type = ConstantReporter
    real_vector_names = 'G'
    real_vector_values = '4'
  []
  [objective]
    type = ParsedVectorRealReductionReporter
    name = objective
    reporter_name = from_sub_rep/rec_vec
    initial_value = 0
    expression = 'reduction_value+indexed_value'
  []
  [gradient]
    type = ParsedVectorVectorRealReductionReporter
    name = gradient
    reporter_name = "from_sub_rep/rec_vec_vec"
    initial_value = 0
    expression = 'reduction_value+indexed_value'
  []
[]
[Transfers]
  [setPrameters]
    type = MultiAppReporterTransfer
    to_multi_app = model_grad
    from_reporters = 'parameters/G'
    to_reporters = 'parameters/G'
    execute_on = 'TIMESTEP_BEGIN'
  []
  [ObjectivesGradients]
    type = MultiAppReporterTransfer
    from_multi_app = model_grad
    from_reporters = 'gradient/gradient objective/objective'
    to_reporters = 'from_sub_rep/rec_vec_vec from_sub_rep/rec_vec'
    distribute_reporter_vector = true
  []
[]

[Outputs]
  csv = false
  json = false
  console = false
[]

(modules/optimization/test/tests/optimizationreporter/bc_load_linearFunction/forward_and_adjoint.i)

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 2
    nx = 10
    ny = 20
    xmax = 1
    ymax = 2
    bias_x = 1.1
    bias_y = 1.1
  []
[]

[Problem]
  nl_sys_names = 'nl0 adjoint'
  kernel_coverage_check = false
[]

[Variables]
  [temperature]
  []
  [temperature_adjoint]
    solver_sys = adjoint
  []
[]

[Kernels]
  [heat_conduction]
    type = MatDiffusion
    variable = temperature
    diffusivity = thermal_conductivity
  []
[]

[BCs]
  [left]
    type = FunctionNeumannBC
    variable = temperature
    boundary = left
    function = left_function
  []
  [right]
    type = FunctionNeumannBC
    variable = temperature
    boundary = right
    function = right_function
  []
  [bottom]
    type = DirichletBC
    variable = temperature
    boundary = bottom
    value = 200
  []
  [top]
    type = DirichletBC
    variable = temperature
    boundary = top
    value = 100
  []
[]

[Functions]
  [left_function]
    type = ParsedOptimizationFunction
    expression = 'a + b*y'
    param_symbol_names = 'a b'
    param_vector_name = 'params/left'
  []
  [right_function]
    type = ParsedOptimizationFunction
    expression = 'a'
    param_symbol_names = 'a'
    param_vector_name = 'params/right'
  []
[]

[Materials]
  [steel]
    type = GenericConstantMaterial
    prop_names = thermal_conductivity
    prop_values = 5
  []
[]

[Preconditioning]
  [nl0]
    type = SMP
    nl_sys = 'nl0'
    petsc_options_iname = '-pc_type'
    petsc_options_value = 'lu'
  []
  [adjoint]
    type = SMP
    nl_sys = 'adjoint'
    petsc_options_iname = '-pc_type'
    petsc_options_value = 'lu'
  []
[]

[Executioner]
  type = SteadyAndAdjoint
  forward_system = nl0
  adjoint_system = adjoint
  line_search = none
  nl_rel_tol = 1e-12
  l_tol = 1e-12
[]

[DiracKernels]
  [pt]
    type = ReporterPointSource
    variable = temperature_adjoint
    x_coord_name = measure_data/measurement_xcoord
    y_coord_name = measure_data/measurement_ycoord
    z_coord_name = measure_data/measurement_zcoord
    value_name = measure_data/misfit_values
    weight_name = measure_data/weight
  []
[]

[VectorPostprocessors]
  [grad_bc_left]
    type = SideOptimizationNeumannFunctionInnerProduct
    variable = temperature_adjoint
    function = left_function
    boundary = left
    execute_on = ADJOINT_TIMESTEP_END
  []
  [grad_bc_right]
    type = SideOptimizationNeumannFunctionInnerProduct
    variable = temperature_adjoint
    function = right_function
    boundary = right
    execute_on = ADJOINT_TIMESTEP_END
  []
[]

[Reporters]
  [measure_data]
    type = OptimizationData
    variable = temperature
    measurement_file = 'measurementData.csv'
    file_xcoord = 'coordx'
    file_ycoord ='y'
    file_zcoord = 'z'
    file_value = 'weightedMeasurement'
    file_variable_weights = 'weight'
    variable_weight_names = 'weight'
  []
  [params]
    type = ConstantReporter
    real_vector_names = 'left right'
    real_vector_values = '0 0; 0' # Dummy
  []
  [vector_sqsum]
    type = ParsedVectorRealReductionReporter
    name = sqsum
    reporter_name= 'measure_data/misfit_values'
    initial_value = 0
    expression = 'reduction_value+indexed_value*indexed_value'
    outputs=none
  []
  [obj_sum]
    type = ParsedScalarReporter
    name = value
    reporter_names = 'vector_sqsum/sqsum'
    reporter_symbols = 'a'
    expression = '0.5*a'
  []
[]

[Outputs]
  console = false
  exodus = true
[]

(modules/optimization/test/tests/reporters/vector_math/vectorMath.i)

[Mesh]
  [gmg]
    type = GeneratedMeshGenerator
    dim = 1
  []
[]

[Problem]
  solve = false
[]

[Executioner]
  type = Steady
[]

[Reporters]
  [dataFromVofV]
    type=VectorOfVectorTestReporter
    name = v_of_v
    vector_of_vectors = '101 201; 102 202; 103 203'
    outputs=none
  []
  [vecvec_sum]
    type = ParsedVectorVectorRealReductionReporter
    name = sum
    reporter_name= 'dataFromVofV/v_of_v'
    initial_value = 0
    expression = 'reduction_value+indexed_value'
  []
  [vecvec_sqsum]
    type = ParsedVectorVectorRealReductionReporter
    name = sqsum
    reporter_name= 'dataFromVofV/v_of_v'
    initial_value = 0
    expression = 'reduction_value+indexed_value*indexed_value'
  []
  [vecvec_multiply]
    type = ParsedVectorVectorRealReductionReporter
    name = multiply
    reporter_name= 'dataFromVofV/v_of_v'
    initial_value = 1
    expression = 'reduction_value*indexed_value'
  []
  [vecvec_max]
    type = ParsedVectorVectorRealReductionReporter
    name = max
    reporter_name= 'dataFromVofV/v_of_v'
    initial_value = -100000
    expression = 'max(reduction_value,indexed_value)'
  []

  [vecs]
    type = ConstantReporter
    real_vector_names = 'vec_a vec_b vec_c vec_d'
    real_vector_values = '1 2 3; 10 20 30; 100 10 1; 1 2 3 4'
    real_names = 'a b c'
    real_values='1 10 100'
    outputs=none
  []
  [vectorOperation]
    type = ParsedVectorReporter
    name = inner
    reporter_names = 'vecs/vec_a vecs/vec_b vecs/vec_c'
    reporter_symbols = 'a b c'
    constant_names = 'constant1 constant2'
    constant_expressions = '10 20'
    expression = '(a+b)*c+constant1+constant2'
  []
  [scalarOperation]
    type = ParsedScalarReporter
    name = inner
    reporter_names = 'vecs/a vecs/b vecs/c'
    reporter_symbols = 'a b c'
    constant_names = 'constant1 constant2'
    constant_expressions = '10 20'
    expression = '(a+b)*c+constant1+constant2'
  []

  [vec_d]
    type = ConstantReporter
    real_vector_names = 'vec_d'
    real_vector_values = '1 2 3 4'
    outputs=none
  []
  [vector_sum]
    type = ParsedVectorRealReductionReporter
    name = sum
    reporter_name= vec_d/vec_d
    initial_value = 0
    expression = 'reduction_value+indexed_value'
  []
  [vector_sqsum]
    type = ParsedVectorRealReductionReporter
    name = sqsum
    reporter_name= vec_d/vec_d
    initial_value = 0
    expression = 'reduction_value+indexed_value*indexed_value'
  []
  [vector_multiply]
    type = ParsedVectorRealReductionReporter
    name = multiply
    reporter_name= vec_d/vec_d
    initial_value = 1
    expression = 'reduction_value*indexed_value'
  []
  [vector_max]
    type = ParsedVectorRealReductionReporter
    name = max
    reporter_name= vec_d/vec_d
    initial_value = -100000
    expression = 'max(reduction_value,indexed_value)'
  []
[]

[Outputs]
  csv=true
[]

Overview
Optimization use case
Input Parameters
Input Files