Modelicac: algorithm or function clause causes Error - scilab

I am using Modelica in Scilab 5.5.1 and I want to use an algorithm clause to calculate the varable lambda in every step
I wrote the calculation in a function:
function lambda_calc
input Real K;
output Real lambda;
algorithm
lambda := 3*K;
end lambda_calc;
and when I try to call lambda = lambda_calc( 1 ); I get this error:
-------Modelica translator error message:-----
---------------------------------------------------
Translator v1.2 for Scicos from Modelica 2.x to flat Modelica
Copyright (C)
2005-2007 Imagine,
2007-2008 LMS-Imagine
Build date is not known (2008-04-01).
---------------------------------------------------
ERROR 2000:
--- Use of not yet implemented feature: Use of class reference in expression is allowed only for external function call
--- Execution step: Code generation for class "lambda_calc"
I tried various places for the function. I also put just the algorithm in the regarded model. All lead to similar errors. I doubt that the possibility of algorithms and functions is not yet implemented. Does anyone see my mistake?

According to official modelica webside modelicac just contains a subset of modelica. It can solve implicit equations but algorithms or functions are not mentioned. Therefore I guess that it is really not implemented.

You could try some other Modelica compiler. Are you bound to Scilab?

Related

How can I determine whether a JuMP model solved by Gurobi is a MIP?

Suppose, I create a JuMP model, pass it to the solver and retrieve a solution. Now I want to determine whether the model solved by Gurobi (i.e. after presolve) was a mixed-integer program (MIP). I need this information since I would like to print the MIP gap (if it exists) of the solution. Obviously, it is not necessarily known in advance, if the JuMP model is in fact a MIP, or if all integer variables will be removed by presolve.
This code example creates a simple model (without any integer variables) and solves it:
import JuMP
import Gurobi
model = JuMP.Model(Gurobi.Optimizer)
JuMP.#variable(model, x)
JuMP.#constraint(model, x>=0)
JuMP.#objective(model, Min, x)
JuMP.optimize!(model)
If the problem were (even after presolve) a MIP, I could just use
mip_gap = JuMP.relative_gap(model)
to get the MIP gap. But in the above case (i.e. not a MIP), it triggers
ERROR: Gurobi.GurobiError(10005, "Unable to retrieve attribute 'MIPGap'")
What does not work either is
mip_gap = JuMP.get_optimizer_attribute(model, "MIPGap")
because this returns the MIP gap which is used as a termination criterion (i.e. not the MIP gap of the actual solution).
I did not find any function within the source code of JuMP and MathOptInterface that returns the MIP gap directly. However, Gurobi has a model attribute called IsMIP, which should be accessible. But
is_mip = JuMP.get_optimizer_attribute(model, "IsMIP")
causes
ERROR: LoadError: Unrecognized parameter name: IsMIP.
I also tried to find a solution within Gurobi.jl and discovered that the Gurobi parameter "IsMIP" is implemented here. There is also a function called is_mip that indeed does what I want. The problem is, that I can not use it because the argument has to be a Gurobi Model, not a JuMP model.
What can I do?
So unfortunately, there are a couple of things going on that combine to make your issue.
1) JuMP's "optimizer attributes" correspond to Gurobi's "parameters." So you can only use get/set_optimizer_attribute to query things like tolerances. This is why you can query MIPGap (a Gurobi parameter), but not IsMIP (a Gurobi model attribute).
2) Not to worry, because you should be able to access Gurobi Model attributes (and variable/constraint attributes) as follows:
MOI.get(model, Gurobi.ModelAttribute("IsMIP"))
3) However, it seems there is a bug somewhere in the stack that means we are re-directing the call incorrectly as we try to go from JuMP to Gurobi. As a work-around, you can use
MOI.get(backend(model).optimizer, Gurobi.ModelAttribute("IsMIP"))
I've filed an issue so this gets fixed in a future release (https://github.com/JuliaOpt/MathOptInterface.jl/issues/1092).

Error when computing jacobian vector product

I have a group with coupled disciplines which is nested in a model where all other components are uncoupled. I have assigned a nonlinear Newton and linear direct solvers to the coupled group.
When I try to run the model with default "RunOnce" solver everything is OK, but as soon as I try to run optimization I get following error raised from linear_block_gs.py:
File "...\openmdao\core\group.py", line 1790, in _apply_linear scope_out, scope_in)
File "...\openmdao\core\explicitcomponent.py", line 339, in _apply_linear
self.compute_jacvec_product(*args)
File "...\Thermal_Cycle.py", line 51, in compute_jacvec_product
d_inputs['T'] = slope * deff_dT / alp_sc
File "...\openmdao\vectors\vector.py", line 363, in setitem
raise KeyError(msg.format(name)) KeyError: 'Variable name "T" not found.'
Below is the N2 diagram of the model. Variable "T" which is mentioned in the error comes from implicit "temp" component and is fed back to "sc" component (file Thermal_Cycle.py in the error msg) as input.
N2 diagram
The error disappears when I assign DirectSolver on top of the whole model. My impression was that "RunOnce" would work as long as groups with implicit components have appropriate solvers applied to them as suggested here and is done in my case. Why does it not work when trying to compute total derivatives of the model, i.e. why compute_jacvec_product cannot find coupled variable "T"?
The reason I want to use "RunOnce" solver is that optimization with DirecSolver on top becomes very long as my variable vector "T" increases. I suspect it should be much faster with linear "RunOnce"?
I think this example of the compute_jacvec_product method might be helpful.
The problem is that, depending on the solver configuration or the structure of the model, OpenMDAO may only need some of the partials that you provide in this method. For example, your matrix-free component might have two inputs, but only one is connected, so OpenMDAO does not need the derivative with respect to the unconnected input, and in fact, does not allocate space for it in the d_inputs or d_outputs vectors.
So, to fix the problem, you just need to put an if statement before assigning the value, just like in the example.
Based on the N2, I think that I agree with your strategy of putting the direct solver down around the coupling only. That should work fine, however it looks like you're implementing a linear operator in your component, based on:
File "...\Thermal_Cycle.py", line 51, in compute_jacvec_product d_inputs['T'] = slope * deff_dT / alp_sc
You shouldn't use direct solver with matrix-free partials. The direct solver computes an inverse, which requires the full assembly of the matrix. The only reason it works at all is that OM has some fall-back functionality to manually assemble the jacobian by passing columns of the identity matrix through the compute_jacvec_product method.
This fallback mechanism is there to make things work, but its very slow (you end up calling compute_jacvec_product A LOT).
The error you're getting, and why it works when you put the direct solver higher up in the model, is probably due to a lack of necessary if conditions in your compute_jacvec_product implementation.
See the docs on explicit component for some examples, but the key insight is to realize that not every single variable will be present when doing a jacvec product (it depends on what kind of solve is being done --- i.e. one for Newton vs one for total derivatives of the whole model).
So those if-checks are needed to check if variables are relevant. This is done, because for expensive codes (i.e. CFD) some of these operations are quite expensive and you don't want to do them unless you need to.
Are your components so big that you can't use the compute_partials function? Have you tried specifying the sparsity in your jacobian? Usually the matrix-free partial derivative methods are not needed until you start working with really big PDE solvers with 1e6 or more implicit outputs variables.
Without seeing some code, its hard to comment with more detail, but in summary:
You shouldn't use compute_jacvec_product in combination with direct solver. If you really need matrix-free partials, then you need to switch to iterative linear solvers liket PetscKrylov.
If you can post the code for the the component in Thermal_Cycle.py that has the compute_jacvec_product I could give a more detailed recommendation on how to handle the partial derivatives in that case.

"Efficient" least- and greatest fixpoint computations?

I am trying to compute two finite sets of some enumerable type (let's say char) using a least- and greatest- fixpoint computation, respectively. I want my definitions to be extractable to SML, and to be "semi-efficient" when executed. What are my options?
From exploring the HOL library and playing around with code generation, I have the following observations:
I could use the complete_lattice.lfp and complete_lattice.gfp constants with a pair of additional monotone functions to compute my sets, which in fact I currently am doing. Code generation does work with these constants, but the code produced is horribly inefficient, and if I understand the generated SML code correctly is performing an exhaustive search over every possible set in the powerset of characters. Any use, no matter how simple, of these two constants at type char therefore causes a divergence when executed.
I could try to make use of the iterative fixpoint described by the Kleene fixpoint theorem in directed complete partial orders. From exploring, there's a ccpo_class.fixp constant in the theory Complete_Partial_Order, but the underlying iterates constant that this is defined in terms of has no associated code equations, and so code cannot be extracted.
Are there any existing fixpoint combinators hiding somewhere, suitable for use with finite sets, that produce semi-efficient code with code generation that I have missed?
None of the general fixpoint combinators in Isabelle's standard library is meant to used directly for code extraction because their construction is too general to be usable in practice. (There is another one in the theory ~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.) But the theory ~~/src/HOL/Library/While_Combinator connects the lfp and gfp fixpoints to the iterative implementation you are looking for, see theorems lfp_while_lattice and gfp_while_lattice. These characterisations have the precondition that the function is monotone, so they cannot be used as code equations directly. So you have two options:
Use the while combinator instead of lfp/gfp in your code equations and/or definitions.
Tell the code preprocessor to use lfp_while_lattice as a [code_unfold] equation. This works if you also add all the rules that the preprocessor needs to prove the assumptions of these equations for the instances at which it should apply. Hence, I recommend that you also add as [code_unfold] the monotonicity statement of your function and the theorem to prove the finiteness of char set, i.e., finite_class.finite.

Trouble implementing a very simple mass flow source

I am currently learning Modelica by trying some very simple examples. I have defined a connector Incompressible for an incompressible fluid like this:
connector Incompressible
flow Modelica.SIunits.VolumeFlowRate V_dot;
Modelica.SIunits.SpecificEnthalpy h;
Modelica.SIunits.Pressure p;
end Incompressible;
I now wish to define a mass or volume flow source:
model Source_incompressible
parameter Modelica.SIunits.VolumeFlowRate V_dot;
parameter Modelica.SIunits.Temperature T;
parameter Modelica.SIunits.Pressure p;
Incompressible outlet;
equation
outlet.V_dot = V_dot;
outlet.h = enthalpyWaterIncompressible(T); // quick'n'dirty enthalpy function
outlet.p = p;
end Source_incompressible;
However, when checking Source_incompressible, I get this:
The problem is structurally singular for the element type Real.
The number of scalar Real unknown elements are 3.
The number of scalar Real equation elements are 4.
I am at a loss here. Clearly, there are three equations in the model - where does the fourth equation come from?
Thanks a lot for any insight.
Dominic,
There are a couple of issues going on here. As Martin points out, the connector is unbalanced (you don't have matching "through" and "across" pairs in that connector). For fluid systems, this is acceptable. However, intensive fluid properties (e.g., enthalpy) have to be marked as so-called "stream" variables.
This topic is, admittedly, pretty complicated. I'm planning on adding an advanced chapter to my online Modelica book on this topic but I haven't had the time yet. In the meantime, I would suggest you have a look at the Modelica.Fluid library and/or this presentation by one of its authors, Francesco Casella.
That connector is not a physical connector. You need one flow variable for each potential variable. This is the OpenModelica error message if it helps a little:
Warning: Connector .Incompressible is not balanced: The number of potential variables (2) is not equal to the number of flow variables (1).
Error: Too many equations, over-determined system. The model has 4 equation(s) and 3 variable(s).
Error: Internal error Found Equation without time dependent variables outlet.V_dot = V_dot
This is because the unconnected connector will generate one equation for the flow:
outlet.V_dot = 0.0;
This means outlet.V_dot is replaced in:
outlet.V_dot = V_dot;
And you get:
0.0 = V_dot;
But V_dot is a parameter and can not be assigned to in an equation section (needs an initial equation if the parameter has fixed=false, or a binding equation in the default case).

Why is code unreachable in Frama-C Value Analysis?

When running Frama-C value analysis with some benchmarks, e.g. susan in http://www.eecs.umich.edu/mibench/automotive.tar.gz, we noticed that a lot of blocks are considered dead code or unreachable. However, in practice, these code is executed as we printed out some debug information from these blocks. Is there anybody noticed this issue? How can we solve this?
Your code has a peculiarity which is not in Pascal's list, and which explains some parts of the dead code. Quite a few functions are declared as such
f(int x, int y);
The return type is entirely missing. The C standard indicates that such functions should return int, and Frama-C follows this convention. When parsing those function, it indicates that they never return anything on some of their paths
Body of function f falls-through. Adding a return statement.
On top on the return statement, Frama-C also adds an /*# assert \false; annotation, to indicate that the execution paths of the functions that return nothing should be dead code. In your code, this annotation is always false: those functions are supposed to return void, and not int. You should correct your code with the good return type.
Occurrences of dead code in the results of Frama-C's value analysis boil down to two aspects, and even these two aspects are only a question of human intentions and are indistinguishable from the point of view of the analyzer.
Real bugs that occur with certainty everytime a particular statement is reached. For instance the code after y = 0; x = 100 / y; is unreachable because the program stops at the division everytime. Some bugs that should be run-time errors do not always stop execution, for instance, writing to an invalid address. Consider yourself lucky that they do in Frama-C's value analysis, not the other way round.
Lack of configuration of the analysis context, including not having provided an informative main() function that sets up variation ranges of the program's inputs with such built-in functions as Frama_C_interval(), missing library functions for which neither specifications nor replacement code are provided, assembly code inside the C program, missing option -absolute-valid-range when one would be appropriate, ...

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