import numpy as np import re arg_support_enabled = True def vprint(verbose, string): """ Print string if verbose. Prints string if verbose is a True value """ if verbose: print(string) def is_numeric(n): """Check if n is numeric (i.e., can be converted to int).""" if n == None: return False try: int(n) return True except ValueError: return False def float_or_nan(n): """Convert to float (if numeric) or NaN.""" if n == None: return np.nan try: return float(n) except ValueError: return np.nan def soft_cast_int(n): """ Convert to int, if possible. If it is empty, returns None. If it is not numeric, it is left unchanged. """ if n == None or n == '': return None try: return int(n) except ValueError: return n def soft_cast_float(n): """ Convert to float, if possible. If it is empty, returns None. If it is not numeric, it is left unchanged. """ if n == None or n == '': return None try: return float(n) except ValueError: return n def flatten(somelist): """ Flatten a list. Example: flatten([[1, 2], [3], [4, 5]]) -> [1, 2, 3, 4, 5] """ return [item for sublist in somelist for item in sublist] def parse_conf_str(conf_str): conf_dict = dict() for option in conf_str.split(','): key, value = option.split('=') conf_dict[key] = soft_cast_float(value) return conf_dict def param_slice_eq(a, b, index): """ Check if by_param keys a and b are identical, ignoring the parameter at index. parameters: a, b -- (state/transition name, [parameter0 value, parameter1 value, ...]) index -- parameter index to ignore (0 -> parameter0, 1 -> parameter1, etc.) Returns True iff a and b have the same state/transition name, and all parameters at positions != index are identical. example: ('foo', [1, 4]), ('foo', [2, 4]), 0 -> True ('foo', [1, 4]), ('foo', [2, 4]), 1 -> False """ if (*a[1][:index], *a[1][index+1:]) == (*b[1][:index], *b[1][index+1:]) and a[0] == b[0]: return True return False def compute_param_statistics(by_name, by_param, parameter_names, arg_count, state_or_trans, attribute, verbose = False): """ Compute standard deviation and correlation coefficient for various data partitions. It is strongly recommended to vary all parameter values evenly across partitions. For instance, given two parameters, providing only the combinations (1, 1), (5, 1), (7, 1,) (10, 1), (1, 2), (1, 6) will lead to bogus results. It is better to provide (1, 1), (5, 1), (1, 2), (5, 2), ... (i.e. a cross product of all individual parameter values) arguments: by_name -- ground truth partitioned by state/transition name. by_name[state_or_trans][attribute] must be a list or 1-D numpy array. by_name[state_or_trans]['param'] must be a list of parameter values corresponding to the ground truth, e.g. [[1, 2, 3], ...] if the first ground truth element has the (lexically) first parameter set to 1, the second to 2 and the third to 3. by_param -- ground truth partitioned by state/transition name and parameters. by_name[(state_or_trans, *)][attribute] must be a list or 1-D numpy array. parameter_names -- list of parameter names, must have the same order as the parameter values in by_param (lexical sorting is recommended). arg_count -- dict providing the number of functions args ("local parameters") for each function. state_or_trans -- state or transition name, e.g. 'send' or 'TX' attribute -- model attribute, e.g. 'power' or 'duration' verbose -- print warning if some parameter partitions are too small for fitting returns a dict with the following content: std_static -- static parameter-unaware model error: stddev of by_name[state_or_trans][attribute] std_param_lut -- static parameter-aware model error: mean stddev of by_param[(state_or_trans, *)][attribute] std_by_param -- static parameter-aware model error ignoring a single parameter. dictionary with one key per parameter. The value is the mean stddev of measurements where all other parameters are fixed and the parameter in question is variable. E.g. std_by_param['X'] is the mean stddev of by_param[(state_or_trans, (X=*, Y=..., Z=...))][attribute]. std_by_arg -- same, but ignoring a single function argument Only set if state_or_trans appears in arg_count, empty dict otherwise. corr_by_param -- correlation coefficient corr_by_arg -- same, but ignoring a single function argument Only set if state_or_trans appears in arg_count, empty dict otherwise. """ ret = { 'std_static' : np.std(by_name[state_or_trans][attribute]), 'std_param_lut' : np.mean([np.std(by_param[x][attribute]) for x in by_param.keys() if x[0] == state_or_trans]), 'std_by_param' : {}, 'std_by_arg' : [], 'corr_by_param' : {}, 'corr_by_arg' : [], } np.seterr('raise') for param_idx, param in enumerate(parameter_names): ret['std_by_param'][param] = _mean_std_by_param(by_param, state_or_trans, attribute, param_idx, verbose) ret['corr_by_param'][param] = _corr_by_param(by_name, state_or_trans, attribute, param_idx) if arg_support_enabled and state_or_trans in arg_count: for arg_index in range(arg_count[state_or_trans]): ret['std_by_arg'].append(_mean_std_by_param(by_param, state_or_trans, attribute, len(parameter_names) + arg_index, verbose)) ret['corr_by_arg'].append(_corr_by_param(by_name, state_or_trans, attribute, len(parameter_names) + arg_index)) return ret def _mean_std_by_param(by_param, state_or_tran, attribute, param_index, verbose = False): u""" Calculate the mean standard deviation for a static model where all parameters but param_index are constant. arguments: by_param -- measurements sorted by key/transition name and parameter values state_or_tran -- state or transition name (-> by_param[(state_or_tran, *)]) attribute -- model attribute, e.g. 'power' or 'duration' (-> by_param[(state_or_tran, *)][attribute]) param_index -- index of variable parameter Returns the mean standard deviation of all measurements of 'attribute' (e.g. power consumption or timeout) for state/transition 'state_or_tran' where parameter 'param_index' is dynamic and all other parameters are fixed. I.e., if parameters are a, b, c ∈ {1,2,3} and 'index' corresponds to b, then this function returns the mean of the standard deviations of (a=1, b=*, c=1), (a=1, b=*, c=2), and so on. """ partitions = [] for param_value in filter(lambda x: x[0] == state_or_tran, by_param.keys()): param_partition = [] for k, v in by_param.items(): if param_slice_eq(k, param_value, param_index): param_partition.extend(v[attribute]) if len(param_partition) > 1: partitions.append(param_partition) elif len(param_partition) == 1: vprint(verbose, '[W] parameter value partition for {} contains only one element -- skipping'.format(param_value)) else: vprint(verbose, '[W] parameter value partition for {} is empty'.format(param_value)) if len(partitions) == 0: vprint(verbose, '[W] Found no partitions for {}/{}/{} ???'.format(state_or_tran, attribute, param_index)) return 0. return np.mean([np.std(partition) for partition in partitions]) def _corr_by_param(by_name, state_or_trans, attribute, param_index): if _all_params_are_numeric(by_name[state_or_trans], param_index): param_values = np.array(list((map(lambda x: x[param_index], by_name[state_or_trans]['param'])))) try: return np.corrcoef(by_name[state_or_trans][attribute], param_values)[0, 1] except FloatingPointError: # Typically happens when all parameter values are identical. # Building a correlation coefficient is pointless in this case # -> assume no correlation return 0. except ValueError: print('[!] Exception in _corr_by_param(by_name, state_or_trans={}, attribute={}, param_index={})'.format(state_or_trans, attribute, param_index)) print('[!] while executing np.corrcoef(by_name[{}][{}]={}, {}))'.format(state_or_trans, attribute, by_name[state_or_trans][attribute], param_values)) raise else: return 0. def _all_params_are_numeric(data, param_idx): param_values = list(map(lambda x: x[param_idx], data['param'])) if len(list(filter(is_numeric, param_values))) == len(param_values): return True return False class OptionalTimingAnalysis: def __init__(self, enabled = True): self.enabled = enabled self.wrapped_lines = list() self.index = 1 def get_header(self): ret = '' if self.enabled: ret += '#define TIMEIT(index, functioncall) ' ret += 'counter.start(); ' ret += 'functioncall; ' ret += 'counter.stop();' ret += 'kout << endl << index << " :: " << counter.value << "/" << counter.overflow << endl;\n' return ret def wrap_codeblock(self, codeblock): if not self.enabled: return codeblock lines = codeblock.split('\n') ret = list() for line in lines: if re.fullmatch('.+;', line): ret.append('TIMEIT( {:d}, {} )'.format(self.index, line)) self.wrapped_lines.append(line) self.index += 1 else: ret.append(line) return '\n'.join(ret)