Isabelle verbose evaluation steps - isabelle

Is there some way to see what the value command does under the hood?
Maybe there exists something like using [[simp_trace]] but for value
value using [[simp_trace]] "2+4::nat"

Related

Gremlin math step has issues if a reserved word "exp" is used in a label name

I have a query which has the math function like below,
math('number1-expected_value').next()
It throws error as
**GremlinServerError: 499: {"detailedMessage":"Unknown function or variable 'cted_value' at pos 20 in expression 'number1 - expected_value'","requestId":"01e3f9e6-3cf2-4af0-bf94-5a4979d488b4","code":"InvalidParameterException"}**
I know, the exp keyword is reserved for exponentiation operation. Is there anyone who knows how to use a keyword as a normal string inside the math function in gremlin?
Note:
when I change the variable as "eexpected_value", it works. If I choose expeected_value, it throws same error. Hence expe and expee make operation of exponen
This appears to be an issue in the Gremlin math step which is built using EXP4J. I have opened the following Jira issue to track within the Apache TinkerPop project: https://issues.apache.org/jira/browse/TINKERPOP-2856
For now, the best workaround as you discovered is just to avoid using variable names that contain any of the math built in function names (like exp).

Use Julia with Notepad++ and AutoHotkey

In practice I prefer to write R codes with Notepad++ and NppToR, where you can use the default shortcut keys to achieve the following functions:
F8: Pass line or selection
Shift+F8: Pass to point of cursor (from the very beginning)
Ctrl +F8: Pass entire file at once
Ctrl+Shift+F8: Pass by source (i.e., source("C:/Users/lenovo/Desktop/yourRcode.r"))
It is said that Julia is as simple as R or Python, but much faster than the latter two, almost as fast as C or Fortran. Thus, I try to use Julia to write codes.
According to julia-NotepadPlusPlus, we can use Julia with Notepad++ and AutoHotkey, where one can achieve the following goals:
Win-F12 -> Start Julia
Left_Shift-Enter -> Evaluate current line
Right_Shift-Enter -> Evaluate selected block
I want to write a NppToJulia.ahk file to link Notepad++ and Julia, achieving the functions as the R-NpptoR-Notepad++ way:
F8: Pass line or selection
Shift+F8: Pass to point of cursor (from the very beginning)
Ctrl +F8: Pass entire file at once
Ctrl+Shift+F8: Pass by source (i.e., include("C:/Users/lenovo/Desktop/yourJuliaCode.jl"))
As I know nothing about AutoHotkey, can anyone give me some hints?

How and why is a GNAT.Strings.String_List use clause disallowed? How can you use System.Strings.String_List."&" with infix notation?

Posting for two reasons: (1) I was stuck on unhelpful compiler errors for far too long for such a simple issue and I want the next person to google those messages to come upon my (or other) answers, and (2) I still don't understand disallowing a use clause, so my own answer is really incomplete.
In order to call a program in two places with mostly the same arguments, I want to use the '&' to append to a default list inline:
declare
Exit_Code : constant Integer := GNAT.OS_Lib.Spawn (Program_Name => "gprbuild", Args => (Default_GPR_Arguments & new String'(File_Name_Parameter)));
begin
if Exit_Code /= 0 then
raise Program_Error with "Exit code:" & Exit_Code'Image;
end if;
end;
However, the compiler complains that System.Strings.String_List needs a use clause:
operator for type "System.Strings.String_List" is not directly visible
use clause would make operation legal
But inserting use System.Strings.String_List yields:
"System.Strings.String_List" is not allowed in a use clause
I also got this warning:
warning: "System.Strings" is an internal GNAT unit
warning: use "GNAT.Strings" instead
So I substituted GNAT for System in the with and the use clause and got an extra error in addition to the original 'you need a use clause for System.Strings.String_List' one:
"GNAT.Strings.String_List" is not allowed in a use clause
Why is GNAT.Strings.String_List not allowed in a use clause? Section 8.5 on use clauses doesn't seem to state anything on disallowed packages, so is this a compiler bug? Is it possible to define a new package that cannot have a use clause?
In a use clause of the form
use Name;
Name must be a package name. GNAT.Strings.String_List is a subtype name, not a package name.
There are a number of ways to invoke "&" for String_List. The simplest is to use the full name:
GNAT.Strings."&" (Left, Right)
but presumably you want to be able to use it as an operator in infix notation, Left & Right. Ways to achieve this, in decreasing specificity:
function "&" (Left : GNAT.Strings.String_List; Right : GNAT.Strings.String_List) return GNAT.Strings.String_List renames GNAT.Strings."&"; This makes this specific function directly visible.
use type GNAT.Strings.String_List; This makes all primitive operators of the type directly visible.
use all type GNAT.Strings.String_List; This makes all primitive operations of the type (including non-operator operations) directly visible.
use GNAT.Strings; This makes everything in the package directly visible.
Looks like it is a design decision. And many other packages in System follows this rule. From the s-string.ads (package specification for System.String):
-- Note: this package is in the System hierarchy so that it can be directly
-- be used by other predefined packages. User access to this package is via
-- a renaming of this package in GNAT.String (file g-string.ads).
My guess why this is done in that way: because it isn't in the Ada specification, but extension from GNAT.

In Julia, can a macro access the inferred type of its arguments?

In Julia, is there a way to write a macro that branches based on the (compile-time) type of its arguments, at least for arguments whose types can be inferred at compile time? Like, in the example below, I made up a function named code_type that returns the compile-time type of x. Is there any function like that, or any way to produce this kind of behavior? (Or do macros get expanded before types are inferred, such that this kind of thing is impossible.)
macro report_int(x)
code_type(x) == Int64 ? "it's an int" : "not an int"
end
Macros cannot do this, but generated functions can.
Check out the docs here: https://docs.julialang.org/en/v1/manual/metaprogramming/#Generated-functions-1
In addition to spencerlyon2's answer, another option is to just generate explicit branches:
macro report_int(x)
:(isa(x,Int64) ? "it's an int" : "not an int")
end
If #report_int(x) is used inside a function, and the type of x can be inferred, then the JIT will be able to optimise away the dead branch (this approach is used by the #evalpoly macro in the standard library).

How can I pass a ML value as an argument to an outer syntax command?

I define an outer syntax command, imake to write some code to a file and do some other things. The intended usage is as follows:
theory Scratch
imports Complex_Main "~/Is0/IsS"
begin
imake ‹myfile›
end
The above example will write some contents to the file myfile. myfile should be a path relative to the location of the Scratch theory.
ML ‹val this_path = File.platform_path(Resources.master_directory #{theory})
I would like to be able to use the value this_path in specifying myfile. The imake command is defined in the import ~/Is0/IsS and currently looks as follows:
ML‹(*imake*)
val _ = Outer_Syntax.improper_command #{command_spec "imake"} ""
(Parse.text >>
(fn path => Toplevel.keep
(fn _ => Gc.imake path)))›
The argument is pased using Parse.text, but I need feed it the path based on the ML value this_path, which is defined later (in the Scratch theory). I searched around a lot, trying to figure out how to use something like Parse.const, but I won't be able to figure anything out any time soon.
So: It's important that I use, in some way, Resources.master_directory #{theory} in Scratch.thy, so that imake gets the folder Scratch is in, which will come from the use of #{theory} in Scratch.
If I'm belaboring the last point, it's because in the past, I wasted a lot of time getting the wrong folder, because I didn't understand how to use the command above correctly.
How can I achieve this?
Your minimal examples uses Resource.master_directory with the parameter #{theory} to define your path. #{theory} refers (statically) to the theory at the point where you write down the antiquotation. This is mostly for interactive use, when you explore stuff. For code which is used in other places, you must use the dynamically passed context and extract the theory from it.
The function Toplevel.keep you use takes a function Toplevel.state -> unit as an argument. The Toplevel.state contains a context (see chapter 1 of the Isabelle Implementation Manual), which again contains the current theory; with Toplevel.theory_of you can extract the theory from the state. For example, you could use
Toplevel.keep (fn state => writeln
(File.platform_path (Resources.master_directory (Toplevel.theory_of state))))
to define a command that prints the master_directory for your current theory.
Except in simple cases, it is very likely that you do not only need the theory, but the whole context (which you can get with Toplevel.context_of).
Use setup from preceding (parts of the) theory
In the previous section, I assumed that you always want to use the master directory. For the case where the path should be configurable, Isabelle knows the concept of configuration options.
In your case, you would need to define an configuration option before you declare your imake command
ML ‹
val imake_path = Attrib.setup_config_string #{binding imake_path}
(K path)
› (* declares an option imake_path with the value `path` as default value *)
Then, the imake command can refer to this attribute to retrieve the path via Config.get:
Toplevel.keep (fn state =>
let val path = Config.get (Toplevel.context_of state) imake_path
in ... end)
The value of imake_path can then be set in Isar (only as a string):
declare [[imake_path="/tmp"]]
or in ML, via Config.map (for updating proof contexts) or Config.map_global (for updating theories). Note that you need to feed the updated context back to the system. Isar has the command setup (takes an ML expression of type theory -> theory) for that:
setup ‹Config.map_global imake_path (K "/tmp")›
Configuration options are described in detail in the Isar Implementation Manual, section 1.1.5.
Note: This mechanism does not allow you to automatically set imake_path to the master directory for each new theory. You need to set it manually, e.g. by adding
setup ‹
Config.map imake_path
(K (File.platform_path (Resources.master_directory #{theory})))
›
at the beginning of each theory.
The more general mechanism behind configuration options is context data. For details, see section 1.1 and in particular section 1.1.4 of the Isabelle Implementation Manual). This mechanism is used in a lot of places in Isabelle; the simpset, the configuration of the simplifier, is one example for this.

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