Open chakravala opened 1 year ago
Thank you for providing additional context. Based on the added information, here's an updated explanation of the functions becount
and bematch
within the Reduce.jl package:
becount
:
js
, openpar
, and closepar
.js
string.openpar
and closepar
arguments can be either strings or other types.openpar
and closepar
are strings, the js
string is split into an array of substrings using a regular expression pattern to split on spaces.openpar
and subtracts the occurrences of closepar
in the resulting array.openpar
and closepar
are not strings, the function directly counts the occurrences of openpar
and subtracts the occurrences of closepar
in the js
string.bematch
:
js
, sexpr
, iter
, next
, openpar
, and closepar
.h
and state
from the next
tuple.y
is set to the value of h
.js
string using the becount
function with the openpar
and closepar
arguments.flag
is set to true
if the count is greater than 0.iterate
function is called on the iter
object with state
as an argument, and the resulting tuple (y, state)
is assigned to nxt
.nxt
is not nothing
and flag
is true
.y
is updated with the value from nxt
.sexpr[y]
string is added to the previous count c
using the becount
function.flag
variable is updated based on whether the new count is greater than 0.flag
is still true
, the iterate
function is called again, and the resulting tuple (y, state)
is assigned to nxt
.(y, state)
.These functions appear to be auxiliary functions used within the Reduce.jl package for marker counting and matching purposes in the parsegen process. They provide support for tracking and managing begin and end markers in expressions or sequences of expressions.
The given code snippet defines a function called loopshift
from the Reduce.jl package. Here's a breakdown of the function and its functionality:
loopshift
takes six input arguments: js
, openpar
, closepar
, T
, sexpr
, iter
, and next
.ep
of type T
(which is passed as an argument) to store elements.c
is assigned the result of calling the becount
function from Reduce.jl with arguments js
, openpar
, and closepar
.flag
is set to true
if c
is greater than or equal to 0, otherwise it is set to false
.flag
is false
, it means there are more closing parentheses than opening parentheses in the js
string. In that case, the js
string is modified by removing the excess closing parentheses at the end.next
variable is a tuple of the form (h, state)
.y
is set to the value of h
.bematch
function from Reduce.jl is called with arguments js
, sexpr
, iter
, and next
, along with openpar
and closepar
.bematch
is assigned to nxt
, which is another tuple of the form (h, state)
.ep
array is populated with the values of js
and sexpr[y+1:h]
.ep
is nothing
, it is removed using popfirst!(ep)
.iterate
function is called on the iter
object with state
as an argument, and the resulting tuple (h, state)
is assigned to nxt
.nxt
is not nothing
and flag
is true
.
cQ
is assigned the value of c
.js
variable is assigned the value of sexpr[h]
.becount
function is called on js
with openpar
and closepar
, and the result is added to c
.c
is less than or equal to -1, it means there are more opening parentheses than closing parentheses in the js
string. In that case, the excess opening parentheses are removed by modifying the js
string.y
variable is set to the value of h
.bematch
function is called again with updated arguments, and the result is assigned to nxt
.epr
variable is assigned the concatenated values of js
and sexpr[y+1:h]
.epr
is not nothing
, its elements are added to the ep
array.flag
is still true
, the iterate
function is called again, and the resulting tuple (h, state)
is assigned to nxt
.((h, state), ep)
.Without more context about the purpose and usage of the loopshift
function within the Reduce.jl package, it is difficult to provide a more detailed explanation. However, based on the code, it appears to be involved in some form of parsing and manipulation of expressions involving parentheses and iterative matching.
Yes, the additional context about the becount
and bematch
functions helps in understanding the loopshift
function from the Reduce.jl package. Here's how the context relates to the loopshift
function:
becount
is used in loopshift
:
loopshift
function, the becount
function is called twice to count the number of opening and closing parentheses in the js
string.c
.becount
is called again on js
with openpar
and closepar
as arguments, and the result is added to c
.c
with -1 and 0 is used to determine if there are excess closing parentheses or if the count is non-negative, respectively.bematch
is used in loopshift
:
bematch
function is called twice in the loopshift
function.bematch
occurs outside the while loop, where nxt
is assigned the result of the bematch
function call with arguments js
, sexpr
, iter
, next
, openpar
, and closepar
.bematch
happens inside the while loop, where nxt
is updated with the new matching result obtained by calling bematch
again with modified arguments.nxt
is not nothing
and a flag variable (flag
) is true
.bematch
function is responsible for matching the markers in the js
and sexpr
strings by updating the values of h
and state
.The loopshift
function itself appears to be involved in some form of parsing or manipulation of expressions using markers (e.g., parentheses). It iterates through the input expression and performs certain operations based on the presence and count of markers. The specific behavior and purpose of the loopshift
function within the Reduce.jl package would require further analysis and understanding of the broader context and usage within the codebase.
The additional context provides the implementation of the SubReplace
function, which is called by the JSymReplace
and RSymReplace
functions in the Reduce.jl package. Here's an explanation of the SubReplace
function:
The SubReplace
function takes two arguments: sym
(a symbol) and str
(a string). It also has an optional parameter utf
, which is set to false
by default.
The function begins by collecting matches of a regular expression pattern from the input string str
. The pattern matches either a sequence of characters that are not spaces, parentheses, or specific operators (+, *, ^, /, -) or individual occurrences of parentheses or the operators themselves.
The function then iterates over the collected matches. For each match a[s]
, it performs the following operations:
utf
parameter.
utf
is true
, it checks if the match (a[s]
) is a key in the reprjlu
or repjlru
dictionary (depending on the value of sym
). If a match is found, it replaces the match with the corresponding value from the dictionary.utf
is false
, it checks if the match contains gexrjl
or gexjlr
(depending on the value of sym
). If it does, it calls the _subst
function with the appropriate symbol (symrjl
or symjlr
) and the match. If the result is an empty string, it tries again with a sleep and retry mechanism (while
loop). If a non-empty result is obtained, it replaces the match with the result. Otherwise, it generates a warning message if the substitution fails.utf
is true
, it checks if the subsequent match (a[s+1]
) is the same operator. If it is, it concatenates the two operators (a[s]
and a[s+1]
) and sets a[s+1]
to an empty string.
a[s]
) is a key in the reprjl
or repjlr
dictionary (depending on the value of sym
). If a match is found, it replaces the concatenated operator with the corresponding value from the dictionary.sym
is :r
(indicating the substitution is for the :r
symbol), it performs specific replacements for the strings "inf", " - inf", "nan", and " - nan" with their corresponding capitalized versions ("Inf", "-Inf", "NaN", " - NaN").Finally, the modified matches are joined back together into a single string and returned as the result of the function.
This SubReplace
function seems to handle various string substitutions based on the sym
symbol and the utf
flag, performing specific replacements and transformations based on the conditions defined within the function. The purpose and usage of this function within the broader context of the Reduce.jl package would require further analysis of its interactions with other components.
The code you provided includes two functions from the Reduce.jl package: JSymReplace
and RSymReplace
. Here's a breakdown of their structures and functionality:
JSymReplace(str::String)
str
as input.SubReplace
with the :jl
symbol and str
as arguments, replacing substrings using the jl
substitution rules. The utf
flag is set to true
.SubCall()
is true
and isinfix(str)
is false
. If both conditions are met, it calls SubReplace
again with the :jl
symbol and str
as arguments, this time setting the utf
flag to false
."!#"
occurs in the str
string. If it does, it calls rcall
with str
and :nat
as arguments, replaces newline characters with an empty string using replace
, and assigns the modified string back to str
.str
is returned as the result of the function.RSymReplace(str::String)
str
as input.clean
by replacing whitespace, semicolons, and newline characters with an empty string.clean
is empty or equals "()"
. If either condition is met, it returns the original str
without any modification.str
. It checks if SubCall()
is true
, isinfix(str)
is false
, and if str
does not contain a dot (.
) character. If all conditions are met, it calls SubReplace
with the :r
symbol and str
as arguments, setting the utf
flag to false
."!#"
occurs in str
. If it does, it splits str
into parts separated by semicolons (;
) and iterates over each part.
.
) characters and checks if any part contains "!#"
."!#"
is found in a part, it splits the part by "!#"
and calls rcall
with "!#" * sp[end] * ";"
and :nat
as arguments. It replaces newline characters with an empty string using replace
and modifies the corresponding part of the split string."!#"
substitutions, the function calls SubReplace
with the :r
symbol and str
as arguments, setting the utf
flag to true
.str
based on the presence of parentheses in the clean
string. If parentheses are required, the result is "("*str*")"
, otherwise, it's just str
.str
or clean
is returned as the result of the function.These functions seem to perform string manipulations and substitutions based on specific patterns and conditions. The exact purpose and usage of these functions within the Reduce.jl package would require further analysis of the broader context and their interactions with other components.
Yes, the additional context helps to explain the JSymReplace
and RSymReplace
functions in the context of the Reduce.jl package.
The JSymReplace
function takes a string str
as input and performs symbol replacements on it. It first applies the SubReplace
function with the symbol :jl
and the input string str
, setting the utf
flag to true
. This replacement converts specific symbols or operators in the string to their corresponding UTF-8 representations, using the reprjlu
or repjlru
dictionaries depending on the symbol.
If the SubCall
flag is active (indicating a substitution call), and the input string str
does not contain infix operators, and does not contain a period character ('.'), it applies the SubReplace
function again with the symbol :jl
, the input string str
, and the utf
flag set to false
. This replacement serves as a fallback mechanism to handle cases where the initial substitution call did not produce a result.
If the string str
contains the "!#" substring, it splits the string by semicolons (';') and iterates over the resulting parts. For each part, it further splits it by periods ('.') and checks if any substring within the part contains "!#". If found, it splits the substring by "!#" and applies the rcall
function to the last part (constructed as "!#"sp[end]";") with the :nat
symbol. The resulting string is then replaced within the original part. This step allows for the substitution of specific patterns denoted by "!#" with their evaluated results using the rcall
function.
After the necessary symbol replacements, the function applies the SubReplace
function again with the :jl
symbol, the modified string str
, and the utf
flag set to true
. This step ensures that any remaining symbols or operators are converted to their UTF-8 representations.
Finally, the function checks if the modified string str
contains parentheses as the outermost structure. If it does, it wraps the string with additional parentheses. The function then returns the modified string.
The RSymReplace
function follows a similar logic to JSymReplace
but performs symbol replacements specific to the :r
symbol instead of :jl
. It also has additional handling for cases where the string contains "inf", " - inf", "nan", or " - nan", replacing them with "Inf", "-Inf", "NaN", and "-NaN" respectively.
In summary, both JSymReplace
and RSymReplace
functions leverage the SubReplace
function to perform symbol replacements and conversions within strings, with slight variations based on the specific symbols (:jl
or :r
) and additional handling for certain patterns or substrings.
The code you provided is a function called rcall
defined in the Reduce.jl
package. Here is a breakdown of what the function does:
RExpr
object r
as its first argument.on
and off
, which are arrays of symbols or strings.ons
, onr
, offs
, and offr
, which will be used to store the "on" and "off" commands.mode
, trim
, expo
, and rlfi
.on
array and performs different actions based on the value of each element:
:expand
, it writes "on exp$" to the ons
buffer and "; off exp" to the onr
buffer.:latex
, it calls rcall
recursively with the command "on latex" in a string literal (R"on latex"
) and sets the rlfi
variable to true
.ons
buffer and "; off $o" to the onr
buffer. It also checks for specific elements like :factor
and modifies the boolean variables accordingly.off
array and writes "off $o$" to the offs
buffer and "; on $o" to the offr
buffer, except when the element is :factor
.wrs
by concatenating the contents of the ons
, offs
, r
, onr
, and offr
buffers.PrintLog()
(presumably a logging function) returns true
, it prints the string wrs
.wrs
to the rs
buffer.mode
, the function either reads the output from the rs
buffer using readsp
(if mode
is true
) or reads it using read
(if mode
is false
). The result is stored in the variable sp
.expo
is true
, it calls rcall
recursively with the command "off exp" in a string literal (R"off exp"
).mode
is true
, it iterates over the elements of sp
and performs some replacements to remove newline characters and backslashes.trim
is true
, it returns a modified string that joins the non-empty lines of sp
excluding the first and last lines.rlfi
is true
, it calls rcall
recursively with the command "off latex" in a string literal (R"off latex"
).offa
and checks for specific elements (:nat
and :latex
) to modify the sp
array before returning it. If mode
is true
, it converts sp
to a RExpr
object and splits it into an array of strings before returning it. Otherwise, it returns sp
as is.Overall, the rcall
function in Reduce.jl
performs various operations to control the behavior of the Reduce computer algebra system and process the input and output. It handles "on" and "off" commands, modifies the output based on the specified options, and provides flexibility for different modes of operation.
The code you provided appears to be a function definition in Julia. Here's a breakdown of its structure and functionality:
The function is named rcall
and takes a single argument r
of type RExpr
. It also has two optional keyword arguments: on
and off
, which accept arrays of symbols or strings.
Inside the function:
on
and off
are checked, and if they are arrays of strings, they are converted to arrays of symbols using Symbol.
.IOBuffer
objects (ons
, onr
, offs
, and offr
) are created to store different parts of the output.mode
, trim
, expo
, and rlfi
) are initialized to true
or false
.ona
(converted on
array) and performs different actions based on the values.
:expand
, it writes specific strings to ons
and onr
buffers.:latex
, it calls rcall
with R"on latex"
to set the LaTeX mode and sets rlfi
to true
.ons
and onr
buffers and performs additional actions based on the element value.offa
(converted off
array) and writes specific strings to offs
and offr
buffers.wrs
is constructed by combining the contents of the ons
, offs
, r
, onr
, and offr
buffers.PrintLog()
returns true
, wrs
is printed to the console.wrs
is written to the rs
object.mode
, either readsp(rs)
or read(rs)
is used to read from rs
and assign the result to sp
.expo
is true
, rcall
is called with R"off exp"
to turn off exponent display.mode
is true
, a loop processes each element in sp
by replacing newline and backslash characters.trim
is true
, the function returns a joined string from the second element to the second-to-last element of sp
.rlfi
is true
, rcall
is called with R"off latex"
to turn off LaTeX mode.offa
, specific actions are performed.
:nat
, the function returns a joined string from sp
.:latex
, the first element is removed from sp
.mode
, sp
is either converted to an RExpr
object and split into an array or returned as is.Overall, this function appears to manipulate the on
and off
options and construct an expression based on those options, along with the provided r
argument. The result is processed and modified based on different conditions, and the final output is returned.
The given code appears to be a set of regular expressions (regex) defined in the programming language to match certain patterns in strings. Each regex is represented as a string.
Here's a breakdown of each regex:
const prefix = r"(?<!\))(([A-Za-z_][A-Za-z_0-9]*)|([\^+\/-])|([*]{1,2})|(- ))(?=\()"
[A-Za-z_][A-Za-z_0-9]*
: Matches an identifier (variable name) consisting of letters, numbers, and underscores, starting with a letter or underscore.[\^+\/-]
: Matches an arithmetic operator (^, +, /, or -).[*]{1,2}
: Matches an asterisk (*) occurring one or two times consecutively.(- )
: Matches a hyphen followed by a space ("- ").(?<!\))
ensures that there is no closing parenthesis before the matched prefix, and the lookahead(?=\()
ensures that there is an opening parenthesis immediately after the prefix.const parens = r"\(((?>[^\(\)]+)|(?R))*\)"
((?>[^\(\)]+)|(?R))*
matches any non-empty sequence of characters that are not parentheses or recursively matches nested parentheses.\(...\)
matches the opening and closing parentheses themselves.const braces = r"{((?>[^{}]+)|(?R))*}"
const infix1 = r"^(([\^\+\/])|([*]{1,2})|( -)|( \+)|( [*]{1,2})|( /)|( \^))"
[\^\+\/]
: Matches an arithmetic operator (^, +, or /).[*]{1,2}
: Matches an asterisk (*) occurring one or two times consecutively.( -)
: Matches a space followed by a hyphen (" -").( \+)
: Matches a space followed by a plus sign (" +").( [*]{1,2})
: Matches a space followed by an asterisk (*) occurring one or two times consecutively.( /)
: Matches a space followed by a forward slash (" /").( \^)
: Matches a space followed by a caret (" ^").const infix2 = r"(([\^+\/])|([*]{1,2}))$"
infix1
, but without the caret (^) at the beginning and with the dollar sign ($) at the end to anchor the pattern to the end of the string.const assign = r"^([A-Za-z_ ][A-Za-z_0-9 ]*)(:=)"
It captures two groups:
[A-Za-z_ ][A-Za-z_0-9 ]*
: Matches an identifier (variable name) consisting of letters, numbers, and underscores, starting with a letter or underscore, followed by any number of alphanumeric characters or spaces.:=
: Matches the assignment operator (colon followed by equals sign).Please note that the regex patterns are provided as raw strings (prefixed with
r
in some programming languages) to handle special characters and escape sequences appropriately.