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1c8cebb321 Jeff*0001 .. _sec_tracer_adj_sens:
                0002 
                0003 Adjoint Sensitivity Analysis for Tracer Injection
                0004 =================================================
d67096e55c Jeff*0005 
                0006 (in directory: :filelink:`verification/tutorial_tracer_adjsens/`)
                0007 
                0008 MITgcm has been adapted to enable AD using TAMC or TAF. The present
                0009 description is specific to the use of TAMC or TAF as AD
                0010 tool. The following sections describe the steps which are necessary to
                0011 generate a tangent linear or adjoint model of MITgcm. We take as an
                0012 example the sensitivity of carbon sequestration in the ocean. The
                0013 AD-relevant hooks in the code are outlined in :numref:`sec_ad_tlm_and_adm`
                0014 and :numref:`sec_ad_finalize_contribtuions`.
                0015 
                0016 Overview of the experiment
                0017 --------------------------
                0018 
                0019 We describe an adjoint sensitivity analysis of out-gassing from the
                0020 ocean into the atmosphere of a carbon-like tracer injected into the
                0021 ocean interior (see Hill et al. 2004 :cite:`hill:04`).
                0022 
                0023 Passive tracer equation
                0024 ~~~~~~~~~~~~~~~~~~~~~~~
                0025 
                0026 For this work, MITgcm was augmented with a thermodynamically inactive
                0027 tracer, :math:`C`. Tracer residing in the ocean model surface layer is
                0028 out-gassed according to a relaxation time scale, :math:`\mu`. Within the
                0029 ocean interior, the tracer is passively advected by the ocean model
                0030 currents. The full equation for the time evolution
                0031 
                0032 .. math::
                0033    \frac{\partial C}{\partial t} \, = \,
0bad585a21 Navi*0034    -\mathbf{U} \cdot  \nabla  C \, - \, \mu C \, + \, \Gamma(C) \,+ \, S
d67096e55c Jeff*0035    :label: carbon_ddt
                0036 
                0037 also includes a source term :math:`S`. This term represents interior
                0038 sources of :math:`C` such as would arise due to direct injection. The
0bad585a21 Navi*0039 velocity term, :math:`\mathbf{U}`, is the sum of the model Eulerian circulation
d67096e55c Jeff*0040 and an eddy-induced velocity, the latter parameterized according to
                0041 Gent/McWilliams (Gent and McWilliams 1990 :cite:`gen-mcw:90`; Gent et al. (1995) :cite:`gen-eta:95`). The
                0042 convection function, :math:`\Gamma`, mixes :math:`C` vertically wherever
                0043 the fluid is locally statically unstable.
                0044 
                0045 The out-gassing time scale, :math:`\mu`, in :eq:`carbon_ddt` is set
                0046 so that :math:`1/\mu \sim 1` year for the surface ocean and
                0047 :math:`\mu=0` elsewhere. With this value, :eq:`carbon_ddt` is valid
                0048 as a prognostic equation for small perturbations in oceanic carbon
                0049 concentrations. This configuration provides a powerful tool for
                0050 examining the impact of large-scale ocean circulation on CO\ :sub:`2`
                0051 out-gassing due to interior injections. As source we choose a constant
                0052 in time injection of :math:`S = 1`  mol s\ :sup:`-1`.
                0053 
                0054 Model configuration
                0055 ~~~~~~~~~~~~~~~~~~~
                0056 
                0057 The model configuration employed has a constant
                0058 :math:`4^\circ \times 4^\circ` resolution horizontal grid and realistic
                0059 geography and bathymetry. Twenty vertical layers are used with vertical
                0060 spacing ranging from 50 m near the surface to 815 m at depth. Driven to
                0061 steady-state by climatological wind-stress, heat and fresh-water forcing,
                0062 the model reproduces well known large-scale features of the ocean
                0063 general circulation.
                0064 
                0065 Out-gassing cost function
                0066 ~~~~~~~~~~~~~~~~~~~~~~~~~
                0067 
                0068 To quantify and understand out-gassing due to injections of :math:`C` in
                0069 :eq:`carbon_ddt`, we define a cost function :math:`{\cal J}` that
                0070 measures the total amount of tracer out-gassed at each timestep:
                0071 
                0072 .. math::
                0073    {\cal J}(t=T)=\int_{t=0}^{t=T}\int_{A} \mu C \, dA \, dt
                0074    :label: cost_tracer
                0075 
                0076 :eq:`cost_tracer` integrates the out-gassing term,
                0077 :math:`\mu C`, from :eq:`carbon_ddt` over the entire ocean surface area,
                0078 :math:`A`, and accumulates it up to time :math:`T`. Physically,
                0079 :math:`{\cal J}` can be thought of as representing the amount of
                0080 CO\ :sub:`2` that our model predicts would be out-gassed following an
                0081 injection at rate :math:`S`. The sensitivity of :math:`{\cal J}` to the
                0082 spatial location of :math:`S`,
                0083 :math:`\frac{\partial {\cal J}}{\partial S}`, can be used to identify
                0084 regions from which circulation would cause CO\ :sub:`2` to rapidly
                0085 out-gas following injection and regions in which CO\ :sub:`2` injections
                0086 would remain effectively sequestered within the ocean.
                0087 
                0088 Code configuration
                0089 ------------------
                0090 
                0091 The code customization routines are in
                0092 :filelink:`verification/tutorial_tracer_adjsens/code_ad`:
                0093 
                0094 -  :filelink:`verification/tutorial_tracer_adjsens/code_ad/COST_OPTIONS.h`
                0095 
                0096 -  :filelink:`verification/tutorial_tracer_adjsens/code_ad/CTRL_OPTIONS.h`
                0097 
                0098 -  :filelink:`verification/tutorial_tracer_adjsens/code_ad/CPP_OPTIONS.h`
                0099 
                0100 -  :filelink:`verification/tutorial_tracer_adjsens/code_ad/AUTODIFF_OPTIONS.h`
                0101 
                0102 -  :filelink:`verification/tutorial_tracer_adjsens/code_ad/CTRL_SIZE.h`
                0103 
                0104 -  :filelink:`verification/tutorial_tracer_adjsens/code_ad/GAD_OPTIONS.h`
                0105 
                0106 -  :filelink:`verification/tutorial_tracer_adjsens/code_ad/GMREDI_OPTIONS.h`
                0107 
                0108 -  :filelink:`verification/tutorial_tracer_adjsens/code_ad/SIZE.h`
                0109 
                0110 -  :filelink:`verification/tutorial_tracer_adjsens/code_ad/tamc.h`
                0111 
                0112 -  :filelink:`verification/tutorial_tracer_adjsens/code_ad/ctrl_map_ini_genarr.F`
                0113 
                0114 -  :filelink:`verification/tutorial_tracer_adjsens/code_ad/ptracers_forcing_surf.F`
                0115 
                0116 -  :filelink:`verification/tutorial_tracer_adjsens/code_ad/packages.conf`
                0117 
                0118 The runtime flag and parameters settings are contained in :filelink:`verification/tutorial_tracer_adjsens/input/`
                0119 and :filelink:`verification/tutorial_tracer_adjsens/input_ad/`, together with the forcing fields and and
                0120 restart files:
                0121 
                0122 -  :filelink:`verification/tutorial_tracer_adjsens/input_ad/data`
                0123 
                0124 -  :filelink:`verification/tutorial_tracer_adjsens/input_ad/data.cost`
                0125 
                0126 -  :filelink:`verification/tutorial_tracer_adjsens/input_ad/data.ctrl`
                0127 
                0128 -  :filelink:`verification/tutorial_tracer_adjsens/input_ad/data.gmredi`
                0129 
                0130 -  :filelink:`verification/tutorial_tracer_adjsens/input_ad/data.grdchk`
                0131 
                0132 -  :filelink:`verification/tutorial_tracer_adjsens/input_ad/data.optim`
                0133 
                0134 -  :filelink:`verification/tutorial_tracer_adjsens/input_ad/data.pkg`
                0135 
                0136 -  :filelink:`verification/tutorial_tracer_adjsens/input_ad/data.ptracers`
                0137 
                0138 -  :filelink:`verification/tutorial_tracer_adjsens/input_ad/eedata`
                0139 
                0140 -  ``verification/tutorial_tracer_adjsens/input/topog.bin``
                0141 
                0142 -  ``verification/tutorial_tracer_adjsens/input/windx.bin``, ``verification/tutorial_tracer_adjsens/inputwindy.bin``
                0143 
                0144 -  ``verification/tutorial_tracer_adjsens/input/salt.bin``, ``verification/tutorial_tracer_adjsens/input/theta.bin``
                0145 
                0146 -  ``verification/tutorial_tracer_adjsens/input/SSS.bin``, ``verification/tutorial_tracer_adjsens/input/SST.bin``
                0147 
                0148 Below we describe the customizations of this files which are specific to
                0149 this experiment.
                0150 
                0151 File :filelink:`code_ad/COST_OPTIONS.h /<verification/tutorial_tracer_adjsens/code_ad/COST_OPTIONS.h>`
                0152 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
                0153 
                0154 This file contains package-specific CPP-options (see :numref:`pkg_cost_description`).
                0155 
                0156 File :filelink:`code_ad/CTRL_OPTIONS.h /<verification/tutorial_tracer_adjsens/code_ad/CTRL_OPTIONS.h>`
                0157 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
                0158 
                0159 This file contains package-specific CPP-options (see :numref:`sec:pkg:ctrl`).
                0160 
                0161 File :filelink:`code_ad/CPP_OPTIONS.h /<verification/tutorial_tracer_adjsens/code_ad/CPP_OPTIONS.h>`
                0162 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
                0163 
                0164 This file contains model-specific CPP options (see :numref:`customize_compilation`).
                0165 Most options are related to the forward model
                0166 setup. They are identical to the global steady circulation setup of
                0167 :filelink:`verification/global_ocean.90x40x15/`. The three options specific to
                0168 this experiment are as follows.
                0169 ``#define ALLOW_PASSIVE_TRACER`` enables the code to carry through the advection/diffusion of
                0170 a passive tracer along the model integration.
                0171 ``#define ALLOW_MIT_ADJOINT_RUN`` enables the inclusion of some AD-related fields concerning
                0172 initialization, link between control variables and forward model
                0173 variables, and the call to the top-level forward/adjoint subroutine
                0174 ``adthe_main_loop.F`` instead of :filelink:`model/src/the_main_loop.F`.
                0175 ``#define ALLOW_GRADIENT_CHECK`` enables the gradient check package. After computing the
                0176 unperturbed cost function and its gradient, a series of computations
                0177 are performed for which:
                0178 
                0179   - an element of the control vector is perturbed
                0180   - the cost function w.r.t. the perturbed element is computed
                0181   - the difference between the perturbed and unperturbed
                0182     cost function is computed to compute the finite difference gradient
                0183   - the finite difference gradient is compared with the
                0184     adjoint-generated gradient.
                0185 
                0186 The gradient check package is further
                0187 described in :numref:`ad_gradient_check`.
                0188 
                0189 File ``ECCO_OPTIONS.h``
                0190 ~~~~~~~~~~~~~~~~~~~~~~~
                0191 
                0192 The CPP options of several AD-related packages are grouped in this file:
                0193 
                0194 -  | Overall ECCO-related execution modus:
                0195    | These determine whether a pure forward run, a sensitivity run or an
                0196      iteration of optimization is performed. These options are not
                0197      needed in the present context.
                0198 
                0199 -  | Adjoint support package: :filelink:`pkg/autodiff/`
                0200    | This package contains hand-written adjoint code such as active file
                0201      handling, flow directives for files which must not be
                0202      differentiated, and TAMC-specific header files. ``#define`` :varlink:`ALLOW_AUTODIFF_TAMC`
                0203      defines TAMC-related features in the code. ``#define`` :varlink:`ALLOW_TAMC_CHECKPOINTING`
                0204      enables the checkpointing feature of TAMC (see :numref:`sec_autodiff_storage_v_recompute`).
                0205      In the present example a 3-level checkpointing
                0206      is implemented. The code contains the relevant store directives,
                0207      common block and tape initializations, storing key computation, and
                0208      loop index handling. The checkpointing length at each level is
                0209      defined in file :filelink:`code_ad/tamc.h <verification/tutorial_tracer_adjsens/code_ad/tamc.h>`,
                0210      see :ref:`below <tut_tracer_adjsens_tamc>`. The out and intermediate loop
                0211      directives are contained in the files
                0212      :filelink:`pkg/autodiff/checkpoint_lev3_directives.h`, :filelink:`pkg/autodiff/checkpoint_lev2_directives.h`.
                0213      ``#define`` :varlink:`ALLOW_AUTODIFF_MONITOR` enables the monitoring of intermediate adjoint variables (see :numref:`sec_autodiff_output_adj_vars`).
                0214      ``#define`` :varlink:`ALLOW_DIVIDED_ADJOINT` enables adjoint dump and restart (see :numref:`sec_autodiff_diva`).
                0215 
                0216 -  | Cost function package: :filelink:`pkg/cost/`
                0217    | This package contains all relevant routines for initializing,
                0218      accumulating and finalizing the cost function (see :numref:`pkg_cost_description`).
                0219      ``#define`` :varlink:`ALLOW_COST` enables all general aspects of the cost function handling, in
                0220      particular the hooks in the forward code for initializing,
                0221      accumulating and finalizing the cost function.
                0222      ``#define`` :varlink:`ALLOW_COST_TRACER` includes the call to the cost function for this particular
                0223      experiment, eqn. :eq:`cost_tracer`.
                0224 
                0225 -  | Control variable package: :filelink:`pkg/ctrl/`
                0226    | This package contains all relevant routines for the handling of the
                0227      control vector. Each control variable can be enabled/disabled with
                0228      its own flag:
                0229 
                0230    +-----------------------------------------------+----------------------------------------+
                0231    | ``#define`` :varlink:`ALLOW_THETA0_CONTROL`   | initial temperature                    |
                0232    +-----------------------------------------------+----------------------------------------+
                0233    | ``#define`` :varlink:`ALLOW_SALT0_CONTROL`    | initial salinity                       |
                0234    +-----------------------------------------------+----------------------------------------+
                0235    | ``#define`` :varlink:`ALLOW_TR10_CONTROL`     | initial passive tracer concentration   |
                0236    +-----------------------------------------------+----------------------------------------+
                0237    | ``#define`` :varlink:`ALLOW_TAUU0_CONTROL`    | zonal wind stress                      |
                0238    +-----------------------------------------------+----------------------------------------+
                0239    | ``#define`` :varlink:`ALLOW_TAUV0_CONTROL`    | meridional wind stress                 |
                0240    +-----------------------------------------------+----------------------------------------+
                0241    | ``#define`` :varlink:`ALLOW_SFLUX0_CONTROL`   | freshwater flux                        |
                0242    +-----------------------------------------------+----------------------------------------+
                0243    | ``#define`` :varlink:`ALLOW_HFLUX0_CONTROL`   | heat flux                              |
                0244    +-----------------------------------------------+----------------------------------------+
                0245    | ``#define`` :varlink:`ALLOW_DIFFKR_CONTROL`   | diapycnal diffusivity                  |
                0246    +-----------------------------------------------+----------------------------------------+
                0247    | ``#undef`` :varlink:`ALLOW_KAPGM_CONTROL`     | isopycnal diffusivity                  |
                0248    +-----------------------------------------------+----------------------------------------+
                0249 
                0250 File :filelink:`SIZE.h <verification/tutorial_tracer_adjsens/code_ad/SIZE.h>`
                0251 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
                0252 
                0253 .. literalinclude:: ../../../verification/tutorial_tracer_adjsens/code_ad/SIZE.h
                0254     :linenos:
                0255     :caption: verification/tutorial_global_oce_latlon/code/SIZE.h
                0256 
                0257 The file contains the grid point dimensions of the forward model. It
                0258 is identical to the :filelink:`verification/exp2/`.
                0259 
                0260 File :filelink:`/pkg/autodiff/adcommon.h`
                0261 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
                0262 
                0263 This file contains common blocks of some adjoint variables that are
                0264 generated by TAMC. The common blocks are used by the adjoint support
                0265 routine :filelink:`/pkg/autodiff/addummy_in_stepping.F` which needs to access those variables:
                0266 
                0267 +-------------------------------------------+-------------------------------------------------+
                0268 | common /\ :varlink:`addynvars_r`\ /       | is related to :filelink:`model/inc/DYNVARS.h`   |
                0269 +-------------------------------------------+-------------------------------------------------+
                0270 | common /\ :varlink:`addynvars_cd`\ /      | is related to :filelink:`model/inc/DYNVARS.h`   |
                0271 +-------------------------------------------+-------------------------------------------------+
                0272 | common /\ :varlink:`addynvars_diffkr`\ /  | is related to :filelink:`model/inc/DYNVARS.h`   |
                0273 +-------------------------------------------+-------------------------------------------------+
                0274 | common /\ :varlink:`addynvars_kapgm`\ /   | is related to :filelink:`model/inc/DYNVARS.h`   |
                0275 +-------------------------------------------+-------------------------------------------------+
                0276 | common /\ :varlink:`adtr1_r`\ /           | is related to ``TR1.h``                         |
                0277 +-------------------------------------------+-------------------------------------------------+
                0278 | common /\ :varlink:`adffields`\ /         | is related to  :filelink:`model/inc/FFIELDS.h`  |
                0279 +-------------------------------------------+-------------------------------------------------+
                0280 
                0281 Note that if the structure of the common block changes in the above
                0282 header files of the forward code, the structure of the adjoint common
                0283 blocks will change accordingly. Thus, one must make sure that the
                0284 structure of the adjoint common block in the hand-written file
                0285 :filelink:`/pkg/autodiff/adcommon.h` complies with the automatically generated adjoint common
                0286 blocks in ``adjoint_model.F``. The header file is enabled via the
                0287 CPP-option :varlink:`ALLOW_AUTODIFF_MONITOR`.
                0288 
                0289 .. _tut_tracer_adjsens_tamc:
                0290 
                0291 File :filelink:`code_ad/tamc.h <verification/tutorial_tracer_adjsens/code_ad/tamc.h>`
                0292 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
                0293 
                0294 This routine contains the dimensions for TAMC checkpointing and some
                0295 indices relevant for storing ky computations.
                0296 
                0297 -  | ``#ifdef`` :varlink:`ALLOW_TAMC_CHECKPOINTING`
                0298    | 3-level checkpointing is enabled, i.e., the timestepping is divided
                0299      into three different levels (see :numref:`sec_autodiff_storage_v_recompute`). The
                0300      model state of the outermost (:varlink:`nchklev_3`) and the intermediate
                0301      (:varlink:`nchklev_2`) timestepping loop are stored to file (handled in
                0302      :filelink:`model/src/the_main_loop.F`). The innermost loop (:varlink:`nchklev_1`) avoids I/O by
                0303      storing all required variables to common blocks. This storing may
                0304      also be necessary if no checkpointing is chosen (nonlinear
                0305      functions, if-statements, iterative loops, ...). In the present
                0306      example the dimensions are chosen as follows:
                0307 
                0308      ::
                0309 
                0310         nchklev_1 = 36
                0311         nchklev_2 = 30
                0312         nchklev_3 = 60
                0313 
                0314    | To guarantee that the checkpointing intervals span the entire
                0315      integration period the following relation must be satisfied:
                0316 
                0317    | :varlink:`nchklev_1` * :varlink:`nchklev_2` * :varlink:`nchklev_3` :math:`\ge` :varlink:`nTimeSteps`
                0318 
                0319    | where :varlink:`nTimeSteps` is either specified in :filelink:`input_ad/data <verification/tutorial_tracer_adjsens/input_ad/data>`
                0320      or computed via:
                0321 
                0322    | :varlink:`nTimeSteps` = (:varlink:`endTime` - :varlink:`startTime` )/ :varlink:`deltaTClock`.
                0323 
                0324 -  |  ``#undef`` :varlink:`ALLOW_TAMC_CHECKPOINTING`
                0325    |  No checkpointing is enabled. In this case the relevant counter is
                0326      :varlink:`nchklev_0`. Similar to above, the following relation has to be
                0327      satisfied:
                0328 
                0329    | :varlink:`nchklev_0` :math:`\ge` :varlink:`nTimeSteps`
                0330 
                0331 The following parameters may be worth describing: :varlink:`isbyte`, :varlink:`maxpass`.
                0332 
                0333 File ``makefile``
                0334 ~~~~~~~~~~~~~~~~~
                0335 
                0336 This file contains all relevant parameter flags and lists to run TAMC or
                0337 TAF. It is assumed that TAMC is available to you, either locally, being
                

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0338 installed on your network, or remotely through the ’TAMC Utility’. TAMC 0339 is called with the command ``tamc`` followed by a number of options. They 0340 are described in detail in the TAMC manual (Giering 1999 :cite:`giering:99`). 0341 Here we briefly discuss the main flags used in the ``makefile``. The 0342 standard output for TAF is written to file ``taf.log``. 0343 0344 TAMC: 0345 0346 :: 0347 0348 -input «variable names» -output «variable name» -i4 -r4 ... 0349 -toplevel «S/R name» -reverse «file names» 0350 0351 TAF: 0352 0353 :: 0354 0355 -input «variable names» -output «variable name» -i4 -r4 ... 0356 -toplevel «S/R name» -reverse «file names» 0357 -flow taf_flow.log -nonew_arg 0358 0359 - ``-toplevel «S/R name»`` 0360 0361 Name of the toplevel routine, with respect to which the control 0362 flow analysis is performed. 0363 0364 - ``input «variable names»`` 0365 0366 List of independent variables :math:`u` with respect to which the 0367 dependent variable :math:`J` is differentiated. 0368 0369 - ``-output «variable name»`` 0370 0371 Dependent variable :math:`J` which is to be differentiated. 0372 0373 - ``-reverse «file names»`` 0374 0375 Adjoint code is generated to compute the sensitivity of an 0376 independent variable w.r.t. many dependent variables. In the 0377 discussion of :numref:`chap_autodiff` the generated adjoint top-level routine 0378 computes the product of the transposed Jacobian matrix 0379 :math:`M^T` times the gradient vector :math:`\nabla_v J`. 0380 «file names» refers to the list of files ``.f`` which are to be analyzed by TAMC. 0381 This list is generally smaller than the full list of code to be 0382 compiled. The files not contained are either above the top-level 0383 routine (some initializations), or are deliberately hidden from 0384 TAMC, either because hand-written adjoint routines exist, or the

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0385 routines must not (or don’t have to) be differentiated. For each 0386 routine which is part of the flow tree of the top-level routine, 0387 but deliberately hidden from TAMC (or for each package which 0388 contains such routines), a corresponding file ``.flow`` exists 0389 containing flow directives for TAMC. 0390 0391 - ``-i4 -r4`` 0392   0393 0394 - ``-flow taf_flow.log`` 0395 0396 Will cause TAF to produce a flow listing file named ``taf_flow.log`` 0397 in which the set of active and passive variables are identified for 0398 each subroutine. 0399 0400 - ``-nonew_arg`` 0401 0402 The default in the order of the parameter list of adjoint routines 0403 has changed. Before TAF 1.3 the default was compatible with the 0404 TAMC-generated list. As of TAF 1.3 the order of adjoint routine 0405 parameter lists is no longer compatible with TAMC. To restore 0406 compatibility when using TAF 1.3 and higher, this argument is 0407 needed. It is currently crucial to use since all hand-written 0408 adjoint routines refer to the TAMC default. 0409 0410 File ``input/topog.bin`` 0411 ^^^^^^^^^^^^^^^^^^^^^^^^ 0412   0413 Contains 2-D bathymetry information. 0414 0415 Files ``input/windx.bin``, ``input/windy.bin``, ``input/salt.bin``, ``input/theta.bin``, ``input/SSS.bin``, ``input/SST.bin`` 0416 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ 0417 0418 These contain the initial values of salnity and potential temperature (``salt.bin``, ``theta.bin``), surface boundary values (surface wind stresses 0419 ``windx.bin``, ``windy.bin``), and surface restoring fields (``SSS.bin``, ``SST.bin``). 0420 0421 Compiling the model and its adjoint 0422 ----------------------------------- 0423 0424 The build process of the adjoint model is slightly more complex than 0425 that of compiling the forward code. The main reason is that the adjoint 0426 code generation requires a specific list of routines that are to be 0427 differentiated (as opposed to the automatic generation of a list of

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0428 files to be compiled by :filelink:`genmake2 <tools/genmake2>`). This list excludes routines that don’t 0429 have to be or must not be differentiated. For some of the latter 0430 routines flow directives may be necessary, a list of which has to be 0431 given as well. For this reason, a separate ``makefile`` is currently 0432 maintained in the directory adjoint/. This makefile is responsible for 0433 the adjoint code generation. 0434 0435 In the following we describe the build process step by step, assuming 0436 you are in the directory bin/. A summary of steps to follow is given at 0437 the end. 0438

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0439 Adjoint code generation and compilation – step by step 0440 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 0441 0442 1. | ``ln -s ../verification/???/code/.genmakerc .`` 0443 | ``ln -s ../verification/???/code/*.[Fh] .`` 0444 | Link your customized genmake options, header files, and modified 0445 code to the compile directory. 0446 0447 2. | ``../tools/genmake -makefile`` 0448 | Generate your Makefile (see :numref:`genmake2_desc`). 0449 0450 3. | ``make depend`` 0451 | Dependency analysis for the CPP pre-compiler (see :numref:`building_quickstart`). 0452 0453 4. | ``cd ../adjoint`` 0454 | ``make adtaf`` or ``make adtamc``

** Warning **

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0455 | Depending on whether you have TAF or TAMC at your disposal, you’ll 0456 choose adtaf or adtamc as your make target for the ``makefile`` in 0457 the directory adjoint/. Several things happen at this stage. 0458 0459 - | ``make adrestore`` 0460 | ``make ftlrestore`` 0461 | The initial template files ``adjoint_model.F`` and 0462 ``tangentlinear_model.F`` in :filelink:`pkg/autodiff` which are part of the 0463 compiling list created by :filelink:`genmake2 <tools/genmake2>` are restored. 0464 0465 - | ``make depend, make small_f`` 0466 | The bin/ directory is brought up to date, i.e., for recent 0467 changes in header or source code ``.[Fh]``, corresponding ``.f`` 0468 routines are generated or re-generated. Note that here, only CPP 0469 pre-compiling is performed; no object code ``.o`` is generated as 0470 yet. Pre-compiling is necessary for TAMC to see the full code. 0471 0472 - | ``make allcode`` 0473 | All Fortran routines .f in bin/ are concatenated into a single 0474 file called ``tamc_code.f``. 0475 0476 - | ``make admodeltaf/admodeltamc`` 0477 | Adjoint code is generated by TAMC or TAF. The adjoint code is 0478 written to the file ``tamc_code_ad.f``. It contains all adjoint 0479 routines of the forward routines concatenated in ``tamc_code.f``. 0480 For a given forward routine subroutine routinename the adjoint 0481 routine is named adsubroutine routinename by default (that 0482 default can be changed via the flag ``-admark «markname»``). 0483 Furthermore, it may contain modified code which incorporates the 0484 translation of adjoint store directives into specific Fortran 0485 code. For a given forward routines subroutine routinename the 0486 modified routine is named mdsubroutine routinename. TAMC or TAF 0487 info is written to file ``tamc_code.prot`` or ``taf.log``, 0488 respectively. 0489 0490 - | ``make adchange`` 0491 | The multi-threading capability of MITgcm requires a slight 0492 change in the parameter list of some routines that are related 0493 to to active file handling. This post-processing invokes the sed 0494 script :filelink:`tools/adjoint_sed` to insert the threading counter 0495 :varlink:`myThId` into the parameter list of those subroutines. The 0496 resulting code is written to file ``tamc_code_sed_ad.f`` and 0497 appended to the file ``adjoint_model.F``. This concludes the 0498 adjoint code generation. 0499 0500 5. | ``cd ../bin`` 0501 | ``make`` 0502 | The file ``adjoint_model.F`` cnow contains the full adjoint code. All 0503 routines are now compiled. 0504 0505 N.B.: The targets ``make adtaf/adtamc`` now comprise a series of targets 0506 that in previous versions had to be invoked separately. This was 0507 probably preferable at a more experimental stage, but has now been 0508 dropped in favor of a more straightforward build process. 0509

** Warning **

Wide character in print at /usr/local/share/lxr/source line 1030, <$git> line 511.

0510 Adjoint code generation and compilation – summary 0511 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ 0512 0513 :: 0514 0515 cd bin 0516 ln -s ../verification/my_experiment/code/.genmakerc . 0517 ln -s ../verification/my_experiment/code/*.[Fh] . 0518 ../tools/genmake -makefile 0519 make depend 0520 cd ../adjoint 0521 make adtaf <OR: make adtamc> 0522 contains the targets: 0523 adrestore small_f allcode admodeltaf/admodeltamc adchange 0524 cd ../bin 08815fc806 Jeff*0525 make