Python math.nan() Examples
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Example #1
Source File: defuzzifier.py From pyfuzzylite with GNU Affero General Public License v3.0 | 6 votes |
def defuzzify(self, term: Term, minimum: float, maximum: float) -> float: if not math.isfinite(minimum + maximum): return nan resolution = self.resolution dx = (maximum - minimum) / resolution counter = resolution left = right = 0 x_left, x_right = (minimum, maximum) left_area = right_area = 0.0 # TODO: Improve? while counter > 0: counter = counter - 1 if left_area <= right_area: x_left = minimum + (left + 0.5) * dx left_area += term.membership(x_left) left += 1 else: x_right = maximum - (right + 0.5) * dx right_area += term.membership(x_right) right += 1 # Inverse weighted average to compensate return (left_area * x_right + right_area * x_left) / (left_area + right_area)
Example #2
Source File: test_variable.py From pyfuzzylite with GNU Affero General Public License v3.0 | 6 votes |
def test_fuzzy_value(self) -> None: InputVariableAssert(self, fl.InputVariable(name="name", description="description", minimum=-1.0, maximum=1.0, terms=[ fl.Triangle('Low', -1.0, -1.0, 0.0), fl.Triangle('Medium', -0.5, 0.0, 0.5), fl.Triangle('High', 0.0, 1.0, 1.0) ])) \ .fuzzy_values({-1.00: "1.000/Low + 0.000/Medium + 0.000/High", -0.50: "0.500/Low + 0.000/Medium + 0.000/High", -0.25: "0.250/Low + 0.500/Medium + 0.000/High", 0.00: "0.000/Low + 1.000/Medium + 0.000/High", 0.25: "0.000/Low + 0.500/Medium + 0.250/High", 0.50: "0.000/Low + 0.000/Medium + 0.500/High", 0.75: "0.000/Low + 0.000/Medium + 0.750/High", 1.00: "0.000/Low + 0.000/Medium + 1.000/High", math.nan: "nan/Low + nan/Medium + nan/High", math.inf: "0.000/Low + 0.000/Medium + 0.000/High", -math.inf: "0.000/Low + 0.000/Medium + 0.000/High", })
Example #3
Source File: test_variable.py From pyfuzzylite with GNU Affero General Public License v3.0 | 6 votes |
def test_highest_membership(self) -> None: low, medium, high = (fl.Triangle('Low', -1.0, -.5, 0.0), fl.Triangle('Medium', -0.5, 0.0, 0.5), fl.Triangle('High', 0.0, .5, 1.0)) VariableAssert(self, fl.Variable(name="name", description="description", minimum=-1.0, maximum=1.0, terms=[low, medium, high])) \ .highest_memberships( {-1.00: (0.0, None), -0.75: (0.5, low), -0.50: (1.0, low), -0.25: (0.5, low), 0.00: (1.0, medium), 0.25: (0.5, medium), 0.50: (1.0, high), 0.75: (0.5, high), 1.00: (0.0, None), math.nan: (0.0, None), math.inf: (0.0, None), -math.inf: (0.0, None), })
Example #4
Source File: test_variable.py From pyfuzzylite with GNU Affero General Public License v3.0 | 6 votes |
def test_fuzzify(self) -> None: VariableAssert(self, fl.Variable(name="name", description="description", minimum=-1.0, maximum=1.0, terms=[ fl.Triangle('Low', -1.0, -1.0, 0.0), fl.Triangle('Medium', -0.5, 0.0, 0.5), fl.Triangle('High', 0.0, 1.0, 1.0) ])) \ .fuzzy_values( {-1.00: "1.000/Low + 0.000/Medium + 0.000/High", -0.50: "0.500/Low + 0.000/Medium + 0.000/High", -0.25: "0.250/Low + 0.500/Medium + 0.000/High", 0.00: "0.000/Low + 1.000/Medium + 0.000/High", 0.25: "0.000/Low + 0.500/Medium + 0.250/High", 0.50: "0.000/Low + 0.000/Medium + 0.500/High", 0.75: "0.000/Low + 0.000/Medium + 0.750/High", 1.00: "0.000/Low + 0.000/Medium + 1.000/High", math.nan: "nan/Low + nan/Medium + nan/High", math.inf: "0.000/Low + 0.000/Medium + 0.000/High", -math.inf: "0.000/Low + 0.000/Medium + 0.000/High", })
Example #5
Source File: test_hedge.py From pyfuzzylite with GNU Affero General Public License v3.0 | 6 votes |
def test_lambda(self) -> None: HedgeAssert(self, fl.HedgeLambda("my_hedge", lambda x: ( 2.0 * x * x if x <= 0.5 else (1.0 - 2.0 * (1.0 - x) * (1.0 - x))))) \ .has_name("my_hedge") \ .evaluates({-1.0: 2.0, -0.5: 0.5, 0.00: 0.0, 0.25: 0.125, 0.50: 0.5, 0.75: 0.875, 1.00: 1.0, inf: -inf, -inf: inf, nan: nan}) if __name__ == '__main__': unittest.main()
Example #6
Source File: test_hedge.py From pyfuzzylite with GNU Affero General Public License v3.0 | 6 votes |
def test_somewhat(self) -> None: with self.assertRaisesRegex(ValueError, r"math domain error"): HedgeAssert(self, fl.Somewhat()).evaluates({-1.0: nan}) HedgeAssert(self, fl.Somewhat()).evaluates({-0.5: nan}) HedgeAssert(self, fl.Somewhat()).evaluates({-inf: nan}) HedgeAssert(self, fl.Somewhat()) \ .has_name("somewhat") \ .evaluates({0.00: 0.0, 0.25: 0.5, 0.50: 0.7071067811865476, 0.75: 0.8660254037844386, 1.00: 1.0, inf: inf, nan: nan})
Example #7
Source File: test_hedge.py From pyfuzzylite with GNU Affero General Public License v3.0 | 6 votes |
def test_seldom(self) -> None: with self.assertRaisesRegex(ValueError, r"math domain error"): HedgeAssert(self, fl.Seldom()).evaluates({-1.0: nan}) HedgeAssert(self, fl.Seldom()).evaluates({-0.5: nan}) HedgeAssert(self, fl.Seldom()).evaluates({inf: nan}) HedgeAssert(self, fl.Seldom()).evaluates({-inf: nan}) HedgeAssert(self, fl.Seldom()) \ .has_name("seldom") \ .evaluates({0.00: 0.0, 0.25: 0.3535533905932738, 0.50: 0.5, 0.75: 0.6464466094067263, 1.00: 1.0, nan: nan})
Example #8
Source File: term.py From pyfuzzylite with GNU Affero General Public License v3.0 | 6 votes |
def membership(self, x: float) -> float: if isnan(x): return nan if self.start == self.end: return self.height * 0.0 if self.start < self.end: if x <= self.start: return self.height * 0.0 if x >= self.end: return self.height * 1.0 return self.height * (x - self.start) / (self.end - self.start) else: if x >= self.start: return self.height * 0.0 if x <= self.end: return self.height * 1.0 return self.height * (self.start - x) / (self.start - self.end)
Example #9
Source File: doc_utils.py From combine-FEVER-NSMN with MIT License | 6 votes |
def doc_f1(cls, d_list): def single_f1(item): docid_predicted = item['predicted_docids'] docid_predicted = set(docid_predicted) docid_gt = [iii for i in item['evidence'] \ for ii in i \ for iii in ii \ if type(iii) == str] docid_gt = set(docid_gt) docid_intersect = docid_predicted & docid_gt if len(docid_gt) == 0: return math.nan f1 = 2*len(docid_intersect) / (len(docid_gt) + len(docid_predicted)) return f1 score_list = map(single_f1, d_list) score_list = [s for s in score_list if not math.isnan(s)] return sum(score_list) / len(score_list)
Example #10
Source File: test_term.py From pyfuzzylite with GNU Affero General Public License v3.0 | 6 votes |
def test_division_by_zero_fails_with_float(self) -> None: self.assertEqual(fl.lib.floating_point_type, float) TermAssert(self, fl.Function.create("dbz", "0.0/x")) \ .membership_fails(0.0, ZeroDivisionError, re.escape("float division by zero")) \ .has_memberships({fl.inf: 0.0, -fl.inf: -0.0, fl.nan: fl.nan}) TermAssert(self, fl.Function.create("dbz", "inf/x")) \ .membership_fails(0.0, ZeroDivisionError, re.escape("float division by zero")) \ .has_memberships({fl.inf: fl.nan, -fl.inf: fl.nan, fl.nan: fl.nan}) TermAssert(self, fl.Function.create("dbz", ".-inf/x")) \ .membership_fails(0.0, ZeroDivisionError, re.escape("float division by zero")) \ .has_memberships({fl.inf: fl.nan, -fl.inf: fl.nan, -fl.nan: fl.nan}) TermAssert(self, fl.Function.create("dbz", "nan/x")) \ .membership_fails(0.0, ZeroDivisionError, re.escape("float division by zero")) \ .has_memberships({fl.inf: fl.nan, -fl.inf: fl.nan, -fl.nan: fl.nan})
Example #11
Source File: test_operation.py From pyfuzzylite with GNU Affero General Public License v3.0 | 6 votes |
def test_str(self) -> None: fl.lib.decimals = 3 self.assertEqual(fl.Op.str(0.3), "0.300") self.assertEqual(fl.Op.str(-0.3), "-0.300") self.assertEqual(fl.Op.str(3), "3") self.assertEqual(fl.Op.str(3.0001), "3.000") self.assertEqual(fl.Op.str(math.inf), "inf") self.assertEqual(fl.Op.str(-math.inf), "-inf") self.assertEqual(fl.Op.str(math.nan), "nan") fl.lib.decimals = 5 self.assertEqual(fl.Op.str(0.3), "0.30000") fl.lib.decimals = 0 self.assertEqual(fl.Op.str(0.3), "0") fl.lib.decimals = 3
Example #12
Source File: defuzzifier.py From pyfuzzylite with GNU Affero General Public License v3.0 | 6 votes |
def defuzzify(self, term: Term, minimum: float, maximum: float) -> float: if not math.isfinite(minimum + maximum): return nan resolution = self.resolution dx = (maximum - minimum) / resolution y_max = -math.inf x_smallest = minimum x_largest = maximum find_x_largest = False for i in range(0, resolution): x = minimum + (i + 0.5) * dx y = term.membership(x) if Op.gt(y, y_max): y_max = y x_smallest = x x_largest = x find_x_largest = True elif find_x_largest and Op.eq(y, y_max): x_largest = x elif Op.lt(y, y_max): find_x_largest = False return (x_largest + x_smallest) / 2.0
Example #13
Source File: pattern_analysis.py From OctoBot-Tentacles with GNU Lesser General Public License v3.0 | 6 votes |
def get_pattern(data): if len(data) > 0: mean_value = np.mean(data) * 0.7 else: mean_value = math.nan if math.isnan(mean_value): return PatternAnalyser.UNKNOWN_PATTERN indexes_under_mean_value = np.where(data > mean_value)[0] \ if mean_value < 0 \ else np.where(data < mean_value)[0] nb_gaps = 0 for i in range(len(indexes_under_mean_value)-1): if indexes_under_mean_value[i+1]-indexes_under_mean_value[i] > 3: nb_gaps += 1 if nb_gaps > 1: return "W" if mean_value < 0 else "M" else: return "V" if mean_value < 0 else "N" # returns a value 0 < value < 1: the higher the stronger is the pattern
Example #14
Source File: term.py From pyfuzzylite with GNU Affero General Public License v3.0 | 5 votes |
def __init__(self, name: str = "", left: float = nan, rising: float = nan, falling: float = nan, right: float = nan, height: float = 1.0) -> None: super().__init__(name, height) self.left = left self.rising = rising self.falling = falling self.right = right
Example #15
Source File: defuzzifier.py From pyfuzzylite with GNU Affero General Public License v3.0 | 5 votes |
def defuzzify(self, fuzzy_output: Term, unused_minimum: float = nan, unused_maximum: float = nan) -> float: if not isinstance(fuzzy_output, Aggregated): raise ValueError(f"expected an Aggregated term, but found {type(fuzzy_output)}") if not self.type: raise ValueError("expected a type of defuzzifier, but found none") if not fuzzy_output.terms: return nan this_type = self.type if self.type == WeightedDefuzzifier.Type.Automatic: this_type = self.infer_type(fuzzy_output.terms[0]) weighted_sum = 0.0 if this_type == WeightedDefuzzifier.Type.TakagiSugeno: # Provides Takagi-Sugeno and Inverse Tsukamoto of Functions for activated in fuzzy_output.terms: w = activated.degree z = activated.term.membership(w) weighted_sum += w * z else: for activated in fuzzy_output.terms: w = activated.degree z = activated.term.tsukamoto(w, fuzzy_output.minimum, fuzzy_output.maximum) weighted_sum += w * z return weighted_sum
Example #16
Source File: term.py From pyfuzzylite with GNU Affero General Public License v3.0 | 5 votes |
def __init__(self, name: str = "", left: float = nan, rising: float = nan, falling: float = nan, right: float = nan, height: float = 1.0) -> None: super().__init__(name, height) self.left = left self.rising = rising self.falling = falling self.right = right
Example #17
Source File: term.py From pyfuzzylite with GNU Affero General Public License v3.0 | 5 votes |
def membership(self, x: float) -> float: if isnan(x): return nan if x < self.center - 0.5 * self.width or x > self.center + 0.5 * self.width: return self.height * 0.0 return self.height * 0.5 * (1.0 + cos(2.0 / self.width * pi * (x - self.center)))
Example #18
Source File: term.py From pyfuzzylite with GNU Affero General Public License v3.0 | 5 votes |
def __init__(self, name: str = "", center: float = nan, width: float = nan, height: float = 1.0) -> None: super().__init__(name, height) self.center = center self.width = width
Example #19
Source File: term.py From pyfuzzylite with GNU Affero General Public License v3.0 | 5 votes |
def __init__(self, name: str = "", value: float = nan) -> None: super().__init__(name) self.value = value
Example #20
Source File: term.py From pyfuzzylite with GNU Affero General Public License v3.0 | 5 votes |
def membership(self, x: float) -> float: if isnan(x): return nan if self.inflection <= self.end: # Concave increasing if x < self.end: return (self.height * (self.end - self.inflection) / (2.0 * self.end - self.inflection - x)) else: # Concave decreasing if x > self.end: return (self.height * (self.inflection - self.end) / (self.inflection - 2.0 * self.end + x)) return self.height * 1.0
Example #21
Source File: term.py From pyfuzzylite with GNU Affero General Public License v3.0 | 5 votes |
def membership(self, x: float) -> float: if isnan(x): return nan if self.direction > self.start and x >= self.start: return self.height * 1.0 if self.direction < self.start and x <= self.start: return self.height * 1.0 return self.height * 0.0
Example #22
Source File: term.py From pyfuzzylite with GNU Affero General Public License v3.0 | 5 votes |
def __init__(self, name: str = "", start: float = nan, direction: float = nan, height: float = 1.0) -> None: super().__init__(name, height) self.start = start self.direction = direction
Example #23
Source File: term.py From pyfuzzylite with GNU Affero General Public License v3.0 | 5 votes |
def membership(self, x: float) -> float: if isnan(x): return nan a = b = 1.0 if x < self.mean_a: a = exp((-(x - self.mean_a) * (x - self.mean_a)) / (2.0 * self.standard_deviation_a * self.standard_deviation_a)) if x > self.mean_b: b = exp((-(x - self.mean_b) * (x - self.mean_b)) / (2.0 * self.standard_deviation_b * self.standard_deviation_b)) return self.height * a * b
Example #24
Source File: defuzzifier.py From pyfuzzylite with GNU Affero General Public License v3.0 | 5 votes |
def defuzzify(self, term: Term, minimum: float, maximum: float) -> float: if not math.isfinite(minimum + maximum): return nan resolution = self.resolution dx = (maximum - minimum) / resolution area = x_centroid = 0.0 for i in range(0, resolution): x = minimum + (i + 0.5) * dx y = term.membership(x) x_centroid += y * x area += y return x_centroid / area
Example #25
Source File: term.py From pyfuzzylite with GNU Affero General Public License v3.0 | 5 votes |
def membership(self, x: float) -> float: if isnan(x): return nan return self.height * (1.0 / (1.0 + (fabs((x - self.center) / self.width) ** (2.0 * self.slope))))
Example #26
Source File: defuzzifier.py From pyfuzzylite with GNU Affero General Public License v3.0 | 5 votes |
def defuzzify(self, term: Term, minimum: float, maximum: float) -> float: if not math.isfinite(minimum + maximum): return nan resolution = self.resolution dx = (maximum - minimum) / resolution y_max = -math.inf x_smallest = minimum for i in range(0, resolution): x = minimum + (i + 0.5) * dx y = term.membership(x) if Op.gt(y, y_max): y_max = y x_smallest = x return x_smallest
Example #27
Source File: term.py From pyfuzzylite with GNU Affero General Public License v3.0 | 5 votes |
def __init__(self, name: str = "", center: float = nan, width: float = nan, slope: float = nan, height: float = 1.0) -> None: super().__init__(name, height) self.center = center self.width = width self.slope = slope
Example #28
Source File: term.py From pyfuzzylite with GNU Affero General Public License v3.0 | 5 votes |
def membership(self, x: float) -> float: if isnan(x): return nan if self.terms and not self.aggregation: raise ValueError("expected an aggregation operator, but none found") result = 0.0 for term in self.terms: result = self.aggregation.compute(result, term.membership(x)) # type: ignore logging.debug(f"{Op.str(result)}: {str(self)}") return result
Example #29
Source File: defuzzifier.py From pyfuzzylite with GNU Affero General Public License v3.0 | 5 votes |
def defuzzify(self, fuzzy_output: Term, unused_minimum: float = nan, unused_maximum: float = nan) -> float: if not isinstance(fuzzy_output, Aggregated): raise ValueError(f"expected an Aggregated term, but found {type(fuzzy_output)}") if not self.type: raise ValueError("expected a type of defuzzifier, but found none") if not fuzzy_output.terms: return nan this_type = self.type if self.type == WeightedDefuzzifier.Type.Automatic: this_type = self.infer_type(fuzzy_output.terms[0]) weighted_sum = weights = 0.0 if this_type == WeightedDefuzzifier.Type.TakagiSugeno: # Provides Takagi-Sugeno and Inverse Tsukamoto of Functions for activated in fuzzy_output.terms: w = activated.degree z = activated.term.membership(w) weighted_sum += w * z weights += w else: for activated in fuzzy_output.terms: w = activated.degree z = activated.term.tsukamoto(w, fuzzy_output.minimum, fuzzy_output.maximum) weighted_sum += w * z weights += w return weighted_sum / weights
Example #30
Source File: term.py From pyfuzzylite with GNU Affero General Public License v3.0 | 5 votes |
def membership(self, x: float) -> float: if isnan(x): return nan if not self.term: raise ValueError("expected a term to activate, but none found") if not self.implication: raise ValueError("expected an implication operator, but none found") result = self.implication.compute(self.term.membership(x), self.degree) logging.debug(f"{Op.str(result)}: {str(self)}") return result