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MATH

HarmonicPatternLibrary "HarmonicPattern" Functions to detect/check harmonic patterns from provided values. line_price_rate(point_c, point_b, point_a) Compute the price rate of the line AB divided by the the line BC Parameters: point_c : float, the price at point C. point_b : float, the price at point B. point_a : float, the price at point A. Returns: float line_time_rate(_c, _b, _a) Compute the time rate of the line AB divided by the the line BC Parameters: _c : float, the time or bar_index at point C. _b : float, the time or bar_index at point B. _a : float, the time or bar_index at point A. Returns: float is_inrange(value, min, max) Check if value is within min/max range of tolerance. Parameters: value : float, value to check tolerance. min : float, minimum value in range of tolerance. max : float, maximum value in range of tolerance. Returns: bool isHarmonicTriangle(rate_cba, margin_of_error) Check if the rate(s) correspond to pattern ("Harmonic Triangle"). Parameters: rate_cba : float, percent rate of the triangle CBA. expects a negative rate. margin_of_error : float, percent rate of expected error margin, default 0.05(5%). Returns: bool is2Tap(rate_cba, margin_of_error) Check if the rate(s) correspond to pattern ("2Tap", 'Double Top / Bottom'). Parameters: rate_cba : float, percent rate of the triangle CBA. expects a negative rate. margin_of_error : float, percent rate of expected error margin, default 0.05(5%). Returns: bool is3Tap(rate_edc, rate_cba, margin_of_error) Check if the rate(s) correspond to pattern ("3Tap", "Triple Top / Bottom"). Parameters: rate_edc : float, percent rate of the triangle EDC. expects a negative rate. rate_cba : float, percent rate of the triangle CBA. expects a negative rate. margin_of_error : float, percent rate of expected error margin, default 0.05(5%). Returns: bool is4Tap(rate_gfe, rate_edc, rate_cba, margin_of_error) Check if the rate(s) correspond to pattern ("4Tap", "Quadruple Top / Bottom"). Parameters: rate_gfe : float, percent rate of the triangle GFE. expects a negative rate. rate_edc : float, percent rate of the triangle EDC. expects a negative rate. rate_cba : float, percent rate of the triangle CBA. expects a negative rate. margin_of_error : float, percent rate of expected error margin, default 0.05(5%). Returns: bool isABCD(rate_cba, rate_dcb, margin_of_error) Check if the rate(s) correspond to pattern ("AB=CD"). Parameters: rate_cba : float, percent rate of the triangle CBA. expects a negative rate. rate_dcb : float, percent rate of the triangle DCB. expects a negative rate. margin_of_error : float, percent rate of expected error margin, default 0.05(5%). Returns: bool isBat(rate_edc, rate_dcb, rate_cba, rate_eda, margin_of_error) Check if the rate(s) correspond to pattern ("Bat"). Parameters: rate_edc : float, percent rate of the triangle EDC. expects a negative rate. rate_dcb : float, percent rate of the triangle DCB. expects a negative rate. rate_cba : float, percent rate of the triangle CBA. expects a negative rate. rate_eda : float, percent rate of the triangle EDA. expects a negative rate. margin_of_error : float, percent rate of expected error margin, default 0.05(5%). Returns: bool isButterfly(rate_edc, rate_dcb, rate_cba, rate_eda, margin_of_error) Check if the rate(s) correspond to pattern ("Butterfly"). Parameters: rate_edc : float, percent rate of the triangle EDC. expects a negative rate. rate_dcb : float, percent rate of the triangle DCB. expects a negative rate. rate_cba : float, percent rate of the triangle CBA. expects a negative rate. rate_eda : float, percent rate of the triangle EDA. expects a negative rate. margin_of_error : float, percent rate of expected error margin, default 0.05(5%). Returns: bool isGartley(rate_edc, rate_dcb, rate_cba, rate_eda, margin_of_error) Check if the rate(s) correspond to pattern ("Gartley"). Parameters: rate_edc : float, percent rate of the triangle EDC. expects a negative rate. rate_dcb : float, percent rate of the triangle DCB. expects a negative rate. rate_cba : float, percent rate of the triangle CBA. expects a negative rate. rate_eda : float, percent rate of the triangle EDA. expects a negative rate. margin_of_error : float, percent rate of expected error margin, default 0.05(5%). Returns: bool isCrab(rate_edc, rate_dcb, rate_cba, rate_eda, margin_of_error) Check if the rate(s) correspond to pattern ("Crab"). Parameters: rate_edc : float, percent rate of the triangle EDC. expects a negative rate. rate_dcb : float, percent rate of the triangle DCB. expects a negative rate. rate_cba : float, percent rate of the triangle CBA. expects a negative rate. rate_eda : float, percent rate of the triangle EDA. expects a negative rate. margin_of_error : float, percent rate of expected error margin, default 0.05(5%). Returns: bool isShark(rate_edc, rate_dcb, rate_cba, rate_eda, margin_of_error) Check if the rate(s) correspond to pattern ("Shark"). Parameters: rate_edc : float, percent rate of the triangle EDC. expects a negative rate. rate_dcb : float, percent rate of the triangle DCB. expects a negative rate. rate_cba : float, percent rate of the triangle CBA. expects a negative rate. rate_eda : float, percent rate of the triangle EDA. expects a negative rate. margin_of_error : float, percent rate of expected error margin, default 0.05(5%). Returns: bool is5o(rate_edc, rate_dcb, rate_cba, rate_eda, margin_of_error) Check if the rate(s) correspond to pattern ("5o"). Parameters: rate_edc : float, percent rate of the triangle EDC. expects a negative rate. rate_dcb : float, percent rate of the triangle DCB. expects a negative rate. rate_cba : float, percent rate of the triangle CBA. expects a negative rate. rate_eda : float, percent rate of the triangle EDA. expects a negative rate. margin_of_error : float, percent rate of expected error margin, default 0.05(5%). Returns: bool isWolfe(rate_edc, rate_dcb, rate_cba, rate_eda, margin_of_error) Check if the rate(s) correspond to pattern ("Wolfe"). Parameters: rate_edc : float, percent rate of the triangle EDC. expects a negative rate. rate_dcb : float, percent rate of the triangle DCB. expects a negative rate. rate_cba : float, percent rate of the triangle CBA. expects a negative rate. rate_eda : float, percent rate of the triangle EDA. expects a negative rate. margin_of_error : float, percent rate of expected error margin, default 0.05(5%). Returns: bool is3Driver(rate_edc, rate_dcb, rate_cba, rate_eda, margin_of_error) Check if the rate(s) correspond to pattern ("3 Driver"). Parameters: rate_edc : float, percent rate of the triangle EDC. expects a negative rate. rate_dcb : float, percent rate of the triangle DCB. expects a negative rate. rate_cba : float, percent rate of the triangle CBA. expects a negative rate. rate_eda : float, percent rate of the triangle EDA. expects a negative rate. margin_of_error : float, percent rate of expected error margin, default 0.05(5%). Returns: bool isConTria(rate_edc, rate_dcb, rate_cba, rate_eda, margin_of_error) Check if the rate(s) correspond to pattern ("Contracting Triangle"). Parameters: rate_edc : float, percent rate of the triangle EDC. expects a negative rate. rate_dcb : float, percent rate of the triangle DCB. expects a negative rate. rate_cba : float, percent rate of the triangle CBA. expects a negative rate. rate_eda : float, percent rate of the triangle EDA. expects a negative rate. margin_of_error : float, percent rate of expected error margin, default 0.05(5%). Returns: bool isExpTria(rate_edc, rate_dcb, rate_cba, rate_eda, margin_of_error) Check if the rate(s) correspond to pattern ("Expanding Triangle"). Parameters: rate_edc : float, percent rate of the triangle EDC. expects a negative rate. rate_dcb : float, percent rate of the triangle DCB. expects a negative rate. rate_cba : float, percent rate of the triangle CBA. expects a negative rate. rate_eda : float, percent rate of the triangle EDA. expects a negative rate. margin_of_error : float, percent rate of expected error margin, default 0.05(5%). Returns: bool isHnS(rate_fed, rate_feb, rate_edc, rate_dcb, rate_cba, rate_eda, margin_of_error) Check if the rate(s) correspond to pattern ("Head and Shoulders"). Parameters: rate_fed : float, percent rate of the triangle FED. expects a negative rate. rate_feb : float, percent rate of the triangle FEB. expects a negative rate. rate_edc : float, percent rate of the triangle EDC. expects a negative rate. rate_dcb : float, percent rate of the triangle DCB. expects a negative rate. rate_cba : float, percent rate of the triangle CBA. expects a negative rate. rate_eda : float, percent rate of the triangle EDA. expects a negative rate. margin_of_error : float, percent rate of expected error margin, default 0.05(5%). Returns: bool
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AnalysisInterpolationLoessLibrary "AnalysisInterpolationLoess" LOESS, local weighted Smoothing function. loess(sample_x, sample_y, point_span) LOESS, local weighted Smoothing function. Parameters: sample_x : int array, x values. sample_y : float array, y values. point_span : int, local point interval span. aloess(sample_x, sample_y, point_span) aLOESS, adaptive local weighted Smoothing function. Parameters: sample_x : int array, x values. sample_y : float array, y values. point_span : int, local point interval span.
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MathConstantsLibrary "MathConstants" Mathematical Constants E() The number e Log2E() The number log (e) Log10E() The number log (e) Ln2() The number log (2) Ln10() The number log (10) LnPi() The number log (pi) Ln2PiOver2() The number log (2*pi)/2 InvE() The number 1/e SqrtE() The number sqrt(e) Sqrt2() The number sqrt(2) Sqrt3() The number sqrt(3) Sqrt1Over2() The number sqrt(1/2) = 1/sqrt(2) = sqrt(2)/2 HalfSqrt3() The number sqrt(3)/2 Pi() The number pi Pi2() The number pi*2 PiOver2() The number pi/2 Pi3Over2() The number pi*3/2 PiOver4() The number pi/4 SqrtPi() The number sqrt(pi) Sqrt2Pi() The number sqrt(2pi) SqrtPiOver2() The number sqrt(pi/2) Sqrt2PiE() The number sqrt(2*pi*e) LogSqrt2Pi() The number log(sqrt(2*pi)) LogSqrt2PiE() The number log(sqrt(2*pi*e)) LogTwoSqrtEOverPi() The number log(2 * sqrt(e / pi)) InvPi() The number 1/pi TwoInvPi() The number 2/pi InvSqrtPi() The number 1/sqrt(pi) InvSqrt2Pi() The number 1/sqrt(2pi) TwoInvSqrtPi() The number 2/sqrt(pi) TwoSqrtEOverPi() The number 2 * sqrt(e / pi) Degree() The number (pi)/180 - factor to convert from Degree (deg) to Radians (rad). Grad() The number (pi)/200 - factor to convert from NewGrad (grad) to Radians (rad). PowerDecibel() The number ln(10)/20 - factor to convert from Power Decibel (dB) to Neper (Np). Use this version when the Decibel represent a power gain but the compared values are not powers (e.g. amplitude, current, voltage). NeutralDecibel() The number ln(10)/10 - factor to convert from Neutral Decibel (dB) to Neper (Np). Use this version when either both or neither of the Decibel and the compared values represent powers. Catalan() The Catalan constant Sum(k=0 -> inf){ (-1)^k/(2*k + 1)2 } EulerMascheroni() The Euler-Mascheroni constant lim(n -> inf){ Sum(k=1 -> n) { 1/k - log(n) } } GoldenRatio() The number (1+sqrt(5))/2, also known as the golden ratio Glaisher() The Glaisher constant e^(1/12 - Zeta(-1)) Khinchin() The Khinchin constant prod(k=1 -> inf){1+1/(k*(k+2))^log(k,2)}
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