From 0b84ec7ee342affeb820c6d4931bf7b2cfd2c483 Mon Sep 17 00:00:00 2001 From: Jolyon Bloomfield Date: Sat, 30 Jun 2018 17:21:47 -0400 Subject: [PATCH] Introduces sampling for numbered variables --- README.md | 7 ++- changelog.md | 8 ++- course/course/course.xml | 1 + course/problem/formula9.xml | 21 +++++++ docs/formula_grader.md | 20 +++++++ mitxgraders/formulagrader.py | 103 +++++++++++++++++++++++++++++++++-- mitxgraders/helpers/calc.py | 10 ++-- mitxgraders/version.py | 2 +- python_lib.zip | Bin 166431 -> 205959 bytes tests/test_formulagrader.py | 27 +++++++++ 10 files changed, 182 insertions(+), 17 deletions(-) create mode 100644 course/problem/formula9.xml diff --git a/README.md b/README.md index 6a4c4e2a..b91e20e2 100644 --- a/README.md +++ b/README.md @@ -5,9 +5,9 @@ A library of graders for edX Custom Response problems. -Version 1.0.4 ([changelog](changelog.md)) +Version 1.1.0 ([changelog](changelog.md)) -Copyright 2017 Jolyon Bloomfield and Chris Chudzicki +Copyright 2017-2018 Jolyon Bloomfield and Chris Chudzicki We thank the MIT Office of Digital Learning for their support. @@ -17,6 +17,7 @@ We thank the MIT Office of Digital Learning for their support. - [Local Installation](#local-installation) - [Usage in edX](#usage-in-edx) - [Grader Documentation](#grader-documentation) +- [FAQ](#FAQ) ## Demo Course @@ -100,7 +101,7 @@ Here, the `correct_answer` entries are shown to students when they click "Show A [Extensive documentation](docs/README.md) has been compiled for the configuration of the different graders in the library. -## FAQs +## FAQ * After installing a virtual environment and doing `pip install`, `pytest` returns a number of errors for `no module named error`. diff --git a/changelog.md b/changelog.md index 1c5e3f66..5e9d6652 100644 --- a/changelog.md +++ b/changelog.md @@ -1,9 +1,13 @@ # Change Log +## Version 1.1.0 +* Added numbered variables to FormulaGrader +* Removed case-insensitive comparisons from FormulaGrader and IntegralGrader. *WARNING:* This breaks backwards compatibility, and is a departure from edX. However, we believe that students should know that `M` and `m` are different variables, and removing case-insensitive comparison fixes a number of ambiguous situations. + ## Version 1.0.5 -* improved debugging information for FormulaGrader +* Improved debugging information for FormulaGrader * FormulaGrader and IntegralGrader perform whitelist, blacklist, and forbidden_string checks after determining answer correctness. Incorrect answers using forbidden strings / functions are now marked incorrect, while correct answers using forbidden strings / functions raise errors. -* minor improvements to existing unit tests +* Minor improvements to existing unit tests ## Version 1.0.4 * Authors can now specify a custom comparer function for FormulaGrader diff --git a/course/course/course.xml b/course/course/course.xml index 407e4fd9..8640107d 100644 --- a/course/course/course.xml +++ b/course/course/course.xml @@ -23,6 +23,7 @@ + diff --git a/course/problem/formula9.xml b/course/problem/formula9.xml new file mode 100644 index 00000000..5c6db2f2 --- /dev/null +++ b/course/problem/formula9.xml @@ -0,0 +1,21 @@ + + +

If you have a system that contains a large or infinite number of numbered coefficients such as \(a_1\), \(a_2\), etc, it can be a pain to initialize all of these variables as independent variables that the grader should accept. Numbered variables allows you to specify that "a" is a numbered variable, and the system will then accept any entry of the form "a_{##}" where ## is an integer.

+ +

The answer to the problem below is "a_{0} + a_{1} + a_{-1}". Try including "a_{42}" in your expression -- the grader should be happy to parse your expression and grade you appropriately.

+ + + + + + + +View source + +
diff --git a/docs/formula_grader.md b/docs/formula_grader.md index 80e2cb8c..34254b38 100644 --- a/docs/formula_grader.md +++ b/docs/formula_grader.md @@ -39,6 +39,25 @@ grader = FormulaGrader( The `sample_from` key must be a dictionary of 'variable_name': sampling_set pairs. You can specify a sampling set, a real interval, or a discrete set of values to sample from. The above example shows each of these in order. +## Numbered Variables + +You can also specify special variables that are numbered. For example, if you specify that `a` is a numbered variable, students can include `a_{0}`, `a_{5}`, `a_{-2}`, etc, using any integer. All entries for a numbered variable will use the sampling set specified by the base name. + +````python +grader = FormulaGrader( + answers='a_{0} + a_{1}*x + 1/2*a_{2}*x^2', + variables=['x'], + numbered_vars=['a'], + sample_from={ + 'x': [-5, 5], + 'a': [-10, 10] + } +) +```` + +If you have a variable name that would clash with a numbered variable (say, you defined `a_{0}` and also a numbered variable `a`), then the specific variable has precedence. + + ## Samples and Failable Evaluations To control the number of samples that are checked to ensure correctness, you can modify the `samples` key. @@ -313,6 +332,7 @@ We have made a number of other improvements over the edX formula graders, includ * When students use an unknown variable, the resulting error message highlights that the unknown quantity was interpreted as a variable. * Similarly, when students use an unknown function, the resulting error message highlights that the unknown quantity was interpreted as a function. If a variable of that name exists, the error message suggests that a multiplication symbol was missing. * If an unexpected error occurs, students will see a generic "invalid input" message. To see exactly where things went wrong, set the `debug` flag to True, and a more technical message will usually be displayed. +* Full sampling details are included when the `debug` flag is set to True. - [Home](README.md) diff --git a/mitxgraders/formulagrader.py b/mitxgraders/formulagrader.py index 26f88173..bf254eab 100644 --- a/mitxgraders/formulagrader.py +++ b/mitxgraders/formulagrader.py @@ -15,7 +15,7 @@ construct_constants, construct_suffixes) from mitxgraders.baseclasses import ItemGrader, InvalidInput, ConfigError from mitxgraders.voluptuous import Schema, Required, Any, All, Extra, Invalid, Length -from mitxgraders.helpers.calc import CalcError, evaluator +from mitxgraders.helpers.calc import CalcError, evaluator, parsercache from mitxgraders.helpers.validatorfuncs import (Positive, NonNegative, is_callable, PercentageString, is_callable_with_args) from mitxgraders.helpers.mathfunc import within_tolerance, DEFAULT_FUNCTIONS @@ -101,7 +101,7 @@ def validate_only_permitted_functions_used(used_funcs, permitted_functions): InvalidInput: Invalid Input: function(s) 'h', 'Sin' not permitted in answer """ used_not_permitted = [f for f in used_funcs if f not in permitted_functions] - if used_not_permitted != []: + if used_not_permitted: func_names = ", ".join(["'{f}'".format(f=f) for f in used_not_permitted]) message = "Invalid Input: function(s) {} not permitted in answer".format(func_names) raise InvalidInput(message) @@ -174,12 +174,52 @@ def validate_required_functions_used(used_funcs, required_funcs): InvalidInput: Invalid Input: Answer must contain the function f """ for func in required_funcs: - used_funcs = [f for f in used_funcs] if func not in used_funcs: msg = "Invalid Input: Answer must contain the function {}" raise InvalidInput(msg.format(func)) return True +def numbered_vars_regexp(numbered_vars): + """ + Creates a regexp to match numbered variables. Catches the full string and the head. + + Arguments: + numbered_vars ([str]): a list of variable heads + + Usage + ===== + + Matches numbered variables: + >>> regexp = numbered_vars_regexp(['b', 'c', 'Cat']) + >>> regexp.match('b_{12}').groups() + ('b_{12}', 'b') + >>> regexp.match('b_{-3}').groups() + ('b_{-3}', 'b') + >>> regexp.match('b_{0}').groups() + ('b_{0}', 'b') + + Other variables match, too, in case-sensitive fashion: + >>> regexp.match('Cat_{17}').groups() + ('Cat_{17}', 'Cat') + + Stuff that shouldn't match does not match: + >>> regexp.match('b') == None + True + >>> regexp.match('b_{05}') == None + True + >>> regexp.match('b_{-05}') == None + True + >>> regexp.match('B_{0}') == None + True + """ + head_list = '|'.join(map(re.escape, numbered_vars)) + regexp = (r"^((" + head_list + ")" # Start and match any head (capture full string, head) + r"_{" # match _{ + r"(?:[-]?[1-9]\d*|0)" # match number pattern + r"})$") # match closing }, close group, and end of string + return re.compile(regexp) + + class FormulaGrader(ItemGrader): """ Grades mathematical expressions, like edX FormulaResponse. Note that comparison will @@ -229,6 +269,12 @@ class FormulaGrader(ItemGrader): variables ([str]): A list of variable names (default []) + numbered_vars ([str]): A list of numbered variable names, which can only occur + with a number attached to the end. For example, ['numvar'] will allow students + to write `numvar_{0}`, `numvar_{5}` or `numvar_{-2}`. Any integer will be + accepted. Use a sample_from entry for `numvar`. Note that a specifically-named + variable will take priority over a numbered variable. (default []) + sample_from (dict): A dictionary of VariableSamplingSets for specific variables. By default, each variable samples from RealInterval([1, 5]) (default {}). Will also accept a list with two values [a, b] to sample from the real interval @@ -271,6 +317,7 @@ def schema_config(self): Required('metric_suffixes', default=False): bool, Required('samples', default=5): Positive(int), Required('variables', default=[]): [str], + Required('numbered_vars', default=[]): [str], Required('sample_from', default={}): dict, Required('failable_evals', default=0): NonNegative(int) }) @@ -386,7 +433,7 @@ def __init__(self, config=None, **kwargs): Any(VariableSamplingSet, All(list, lambda pair: RealInterval(pair)), lambda tup: DiscreteSet(tup)) - for varname in self.config['variables'] + for varname in (self.config['variables'] + self.config['numbered_vars']) }) self.config['sample_from'] = schema_sample_from(self.config['sample_from']) # Note that voluptuous ensures that there are no orphaned entries in sample_from @@ -412,11 +459,52 @@ def check_response(self, answer, student_input): msg = "Invalid Input: Could not parse '{}' as a formula" raise InvalidInput(msg.format(student_input)) + def generate_variable_list(self, answer, student_input): + """ + Generates the list of variables required to perform a comparison and the + corresponding sampling dictionary, taking into account any numbered variables. + + Returns variable_list, sample_from_dict + """ + # Pre-parse all expressions (these all get cached) + parsers = [ + parsercache.get_parser(expr, self.suffixes) + for expr in answer['expect']['comparer_params'] + ] + # If the student input is not empty, parse that too + if not (student_input is None or student_input.strip() == ""): + parsers.append(parsercache.get_parser(student_input, self.suffixes)) + # Create a list of all variables used in the expressions + vars_used = set().union(*[parser.variables_used for parser in parsers]) + + # Initiate the variables list and sample_from dictionary + variable_list = self.config['variables'][:] + sample_from_dict = self.config['sample_from'].copy() + + # Find all unassigned variables + bad_vars = set(var for var in vars_used if var not in variable_list) + + # Check to see if any unassigned variables are numbered_vars + regexp = numbered_vars_regexp(self.config['numbered_vars']) + for var in bad_vars: + match = regexp.match(var) # Returns None if no match + if match: + # This variable is a numbered_variable + # Go and add it to variable_list with the appropriate sampler + (full_string, head) = match.groups() + variable_list.append(full_string) + sample_from_dict[full_string] = sample_from_dict[head] + + return variable_list, sample_from_dict + def raw_check(self, answer, student_input): """Perform the numerical check of student_input vs answer""" - var_samples = gen_symbols_samples(self.config['variables'], + # Generate samples + variable_list, sample_from_dict = self.generate_variable_list(answer, + student_input) + var_samples = gen_symbols_samples(variable_list, self.config['samples'], - self.config['sample_from']) + sample_from_dict) func_samples = gen_symbols_samples(self.random_funcs.keys(), self.config['samples'], @@ -521,6 +609,8 @@ class NumericalGrader(FormulaGrader): variables ([str]): Will always be an empty list + numbered_vars ([str]): Will always be an empty list + sample_from (dict): Will always be an empty dictionary failable_evals (int): Will always be 0 @@ -537,6 +627,7 @@ def schema_config(self): Required('tolerance', default='5%'): Any(PercentageString, NonNegative(Number)), Required('samples', default=1): 1, Required('variables', default=[]): [], + Required('numbered_vars', default=[]): [], Required('sample_from', default={}): {}, Required('failable_evals', default=0): 0 }) diff --git a/mitxgraders/helpers/calc.py b/mitxgraders/helpers/calc.py index c1e74278..86d995d7 100644 --- a/mitxgraders/helpers/calc.py +++ b/mitxgraders/helpers/calc.py @@ -240,7 +240,7 @@ def get_parser(self, formula, suffixes): # Strip out any whitespace, so that two otherwise-equivalent formulas are treated # the same - stripformula = "".join([char for char in formula if char != " "]) + stripformula = formula.replace(" ", "") # Construct the key suffixstr = "" @@ -444,15 +444,15 @@ def parse_algebra(self): # subscripts (optional): # any combination of alphanumeric and underscores # lower_indices (optional): - # Of form "_{}" + # Of form "_{(-)}" # upper_indices (optional): - # Of form "^{}" + # Of form "^{(-)}" # tail: # any number of primes front = Word(alphas, alphanums) subscripts = Word(alphanums + '_') + ~FollowedBy('{') - lower_indices = Literal("_{") + Word(alphanums) + Literal("}") - upper_indices = Literal("^{") + Word(alphanums) + Literal("}") + lower_indices = Literal("_{") + Optional("-") + Word(alphanums) + Literal("}") + upper_indices = Literal("^{") + Optional("-") + Word(alphanums) + Literal("}") tail = ZeroOrMore("'") inner_varname = Combine( front + diff --git a/mitxgraders/version.py b/mitxgraders/version.py index bf91d372..4ad48303 100644 --- a/mitxgraders/version.py +++ b/mitxgraders/version.py 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