def schema_config(self):
"""Define the configuration options for FormulaGrader"""
# Construct the default ItemGrader schema
schema = super(FormulaGrader, self).schema_config
# Append options
forbidden_default = "Invalid Input: This particular answer is forbidden"
return schema.extend({
Required('user_functions', default={}): schema_user_functions,
Required('user_constants', default={}): validate_user_constants(
Number, MathArray),
# Blacklist/Whitelist have additional validation that can't happen here, because
# their validation is correlated with each other
Required('blacklist', default=[]): [str],
Required('whitelist', default=[]): Any(
All([None], Length(min=1, max=1)),
[str]
),
Required('forbidden_strings', default=[]): [str],
Required('forbidden_message', default=forbidden_default): str,
Required('required_functions', default=[]): [str],
Required('tolerance', default='0.01%'): Any(PercentageString, NonNegative(Number)),
Required('metric_suffixes', default=False): bool,
Required('samples', default=5): Positive(int),
Required('variables', default=[]): All([str], all_unique),
Required('numbered_vars', default=[]): All([str], all_unique),
Required('sample_from', default={}): dict,
Required('failable_evals', default=0): NonNegative(int),
Required('max_array_dim', default=0): NonNegative(int)
})
def schema_config(self):
"""Define the configuration options for IntegralGrader"""
# Construct the default AbstractGrader schema
schema = super(IntegralGrader, self).schema_config
default_input_positions = {
'lower': 1,
'upper': 2,
'integrand': 3,
'integration_variable': 4
}
# Append options
return schema.extend({
Required('answers'): {
Required('lower'): str,
Required('upper'): str,
Required('integrand'): str,
Required('integration_variable'): str
},
Required('input_positions', default=default_input_positions): {
Required('lower', default=None):
Any(None, Positive(int)),
Required('upper', default=None):
Any(None, Positive(int)),
Required('integrand', default=None):
Any(None, Positive(int)),
Required('integration_variable', default=None):
Any(None, Positive(int)),
},
Required('integrator_options', default={'full_output': 1}): {
Required('full_output', default=1): 1,
Extra: object
},
Required('complex_integrand', default=False):
bool,
# Most of the below are copied from FormulaGrader
Required('user_functions', default={}):
schema_user_functions,
Required('user_constants', default={}):
validate_user_constants(Number),
# Blacklist/Whitelist have additional validation that can't happen here, because
# their validation is correlated with each other
Required('blacklist', default=[]): [str],
Required('whitelist', default=[]):
Any(All([None], Length(min=1, max=1)), [str]),
Required('tolerance', default='0.01%'):
Any(PercentageString, NonNegative(Number)),
Required('samples', default=1):
Positive(int), # default changed to 1
Required('variables', default=[]):
All([str], all_unique),
Required('sample_from', default={}):
dict,
Required('failable_evals', default=0):
NonNegative(int)
})
class MathMixin(object):
"""This is a mixin class that provides generic math handling capabilities"""
# Set up a bunch of defaults
default_variables = DEFAULT_VARIABLES.copy()
default_functions = DEFAULT_FUNCTIONS.copy()
default_suffixes = DEFAULT_SUFFIXES.copy()
# Set up some debugging templates
debug_appendix_eval_header_template = (
"\n"
"==============================================================\n"
"{grader} Debug Info\n"
"==============================================================\n"
"Functions available during evaluation and allowed in answer:\n"
"{functions_allowed}\n"
"Functions available during evaluation and disallowed in answer:\n"
"{functions_disallowed}\n")
debug_appendix_comparison_template = (
"\n"
"==========================================\n"
"Comparison Data for All {samples_total} Samples\n"
"==========================================\n"
"Comparer Function: {comparer}\n"
"Comparison Results:\n"
"{comparer_results}\n"
"")
# Set up the comparison utilities
Utils = namedtuple('Utils', ['tolerance', 'within_tolerance'])
def get_comparer_utils(self):
"""Get the utils for comparer function."""
def _within_tolerance(x, y):
return within_tolerance(x, y, self.config['tolerance'])
return self.Utils(tolerance=self.config['tolerance'],
within_tolerance=_within_tolerance)
# Set up a bunch of configuration options
math_config_options = {
Required('user_functions', default={}):
schema_user_functions,
Required('user_constants', default={}):
validate_user_constants(Number, MathArray),
# Blacklist/Whitelist have additional validation that can't happen here, because
# their validation is correlated with each other
Required('blacklist', default=[]): [text_string],
Required('whitelist', default=[]):
Any(All([None], Length(min=1, max=1)), [text_string]),
Required('tolerance', default='0.01%'):
Any(PercentageString, NonNegative(Number)),
Required('samples', default=5):
Positive(int),
Required('variables', default=[]):
All([text_string], all_unique),
Required('numbered_vars', default=[]):
All([text_string], all_unique),
Required('sample_from', default={}):
dict,
Required('failable_evals', default=0):
NonNegative(int),
Required('forbidden_strings', default=[]): [text_string],
Required('forbidden_message',
default="Invalid Input: This particular answer is forbidden"):
text_string,
Required('metric_suffixes', default=False):
bool,
Required('required_functions', default=[]): [text_string],
Required('instructor_vars', default=[]): [text_string],
}
def validate_math_config(self):
"""Performs generic math configuration validation"""
validate_blacklist_whitelist_config(self.default_functions,
self.config['blacklist'],
self.config['whitelist'])
warn_if_override(self.config, 'variables', self.default_variables)
warn_if_override(self.config, 'numbered_vars', self.default_variables)
warn_if_override(self.config, 'user_constants', self.default_variables)
warn_if_override(self.config, 'user_functions', self.default_functions)
validate_no_collisions(self.config,
keys=['variables', 'user_constants'])
self.permitted_functions = get_permitted_functions(
self.default_functions, self.config['whitelist'],
self.config['blacklist'], self.config['user_functions'])
# Set up the various lists we use
self.functions, self.random_funcs = construct_functions(
self.default_functions, self.config["user_functions"])
self.constants = construct_constants(self.default_variables,
self.config["user_constants"])
self.suffixes = construct_suffixes(self.default_suffixes,
self.config["metric_suffixes"])
# Construct the schema for sample_from
# First, accept all VariableSamplingSets
# Then, accept any list that RealInterval can interpret
# Finally, single numbers or tuples of numbers will be handled by DiscreteSet
schema_sample_from = Schema({
Required(varname, default=RealInterval()):
Any(VariableSamplingSet, All(list, Coerce(RealInterval)),
Coerce(DiscreteSet))
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
def check_math_response(self, answer, student_input, **kwargs):
"""Check the student response against a given answer"""
result, used_funcs = self.raw_check(answer, student_input, **kwargs)
if result['ok'] is True or result['ok'] == 'partial':
self.post_eval_validation(student_input, used_funcs)
return result
def post_eval_validation(self, expr, used_funcs):
"""Runs several post-evaluation validator functions"""
validate_forbidden_strings_not_used(expr,
self.config['forbidden_strings'],
self.config['forbidden_message'])
validate_required_functions_used(used_funcs,
self.config['required_functions'])
validate_only_permitted_functions_used(used_funcs,
self.permitted_functions)
@staticmethod
def get_used_vars(expressions):
"""
Get the variables used in expressions
Arguments:
expressions: an iterable collection of expressions
Returns:
vars_used ({str}): set of variables used
"""
is_empty = lambda x: x is None or x.strip() == ''
expressions = [expr for expr in expressions if not is_empty(expr)]
# Pre-parse all expressions (these all get cached)
parsed_expressions = [parse(expr) for expr in expressions]
# Create a list of all variables used in the expressions
vars_used = set().union(
*[p.variables_used for p in parsed_expressions])
return vars_used
def gen_var_and_func_samples(self, *args):
"""
Generate a list of variable/function sampling dictionaries from the supplied arguments.
Arguments may be strings, lists of strings, or dictionaries with string values.
Does not flag any bad variables.
"""
# Make a list of all expressions to check for variables
expressions = []
for entry in args:
if isinstance(entry, six.text_type):
expressions.append(entry)
elif isinstance(entry, list):
expressions += entry
elif isinstance(entry, dict):
expressions += [v for k, v in entry.items()]
# Generate the variable list
variables, sample_from_dict = self.generate_variable_list(expressions)
# Generate the samples
var_samples = gen_symbols_samples(variables, self.config['samples'],
sample_from_dict, self.functions,
self.suffixes, self.constants)
func_samples = gen_symbols_samples(list(self.random_funcs.keys()),
self.config['samples'],
self.random_funcs, self.functions,
self.suffixes, {})
return var_samples, func_samples
def generate_variable_list(self, expressions):
"""
Generates the list of variables required to perform a comparison and the
corresponding sampling dictionary, taking into account any numbered variables.
Bad variables are not flagged here.
Returns variable_list, sample_from_dict
"""
vars_used = self.get_used_vars(expressions)
# Seed the variables list with all allowed variables
variable_list = list(self.config['variables'])
# Make a copy of the sample_from dictionary, so we can add numbered variables to it
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 log_comparison_info(self, comparer, comparer_results):
"""Add sample comparison information to debug log"""
msg = self.debug_appendix_comparison_template.format(
samples_total=self.config['samples'],
comparer=re.sub(r"0x[0-9a-fA-F]+", "0x...",
six.text_type(comparer)),
comparer_results=pprint.pformat(comparer_results))
msg = msg.replace("<", "<").replace(">", ">")
self.log(msg)
@staticmethod
def consolidate_results(results, answer, failable_evals):
"""
Consolidate comparer result(s) into just one result.
Arguments:
results: a list of results dicts
answer (dict): correctness data for the expected answer, or None for all correct
failable_evals: int
"""
# Handle an empty answer
if answer is None:
answer = {'ok': True, 'grade_decimal': 1, 'msg': ''}
# answer can contain extra keys, so prune them
pruned_answer = {
key: answer[key]
for key in ['ok', 'grade_decimal', 'msg']
}
# Check each result for correctness
num_failures = 0
for result in results:
if result['ok'] != True:
num_failures += 1
if len(results) == 1 or num_failures > failable_evals:
return result
# This response appears to agree with the expected answer
return pruned_answer
def compare_evaluations(self, compare_params_evals, student_evals,
comparer, utils):
"""
Compare the student evaluations to the expected results.
"""
results = []
if isinstance(comparer, CorrelatedComparer):
result = comparer(compare_params_evals, student_evals, utils)
results.append(ItemGrader.standardize_cfn_return(result))
else:
for compare_params_eval, student_eval in zip(
compare_params_evals, student_evals):
result = comparer(compare_params_eval, student_eval, utils)
results.append(ItemGrader.standardize_cfn_return(result))
# TODO: Take out this if statement - should always work.
# However, presently doesn't, because subgraders don't have access to the master debuglog.
if self.config['debug']:
self.log_comparison_info(comparer, results)
return results
def log_eval_info(self, index, varlist, funclist, **kwargs):
"""Add sample information to debug log"""
if index == 0:
header = self.debug_appendix_eval_header_template.format(
grader=self.__class__.__name__,
# The regexp replaces memory locations, e.g., 0x10eb1e848 -> 0x...
functions_allowed=pprint.pformat({
f: funclist[f]
for f in funclist if f in self.permitted_functions
}),
functions_disallowed=pprint.pformat({
f: funclist[f]
for f in funclist if f not in self.permitted_functions
}),
)
header = re.sub(r"0x[0-9a-fA-F]+", "0x...", header)
header = header.replace('RandomFunction.gen_sample.<locals>.', '')
header = header.replace("<", "<").replace(">", ">")
self.log(header)
msg = self.debug_appendix_eval_template.format(
sample_num=index + 1, # to account for 0 index
samples_total=self.config['samples'],
variables=pprint.pformat(varlist),
**kwargs)
msg = msg.replace("<", "<").replace(">", ">")
self.log(msg)