Operator
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class tracklib.core.Operator.Operator[source]
Class defining the usable operators
The following operators are defined :
Unary void operators:
IDENTITY: \(y(t) = x(t)\)
RECTIFIER: \(y(t) = \|x(t)\|\)
INTEGRATOR: \(y(t) = y(t-1) + y(t)\)
SHIFT_RIGHT: \(y(t) = x(t-1)\)
SHIFT_LEFT: \(y(t) = x(t+1)\)
SHIFT_CIRCULAR_RIGHT: \(y(t) = x((t-1)%n)\)
SHIFT_CIRCULAR_LEFT: \(y(t) = x((t+1)%n)\)
INVERTER: \(y(t) = -x(t)\)
INVERSER: \(y(t) = 1/x(t)\)
DEBIASER: \(y(t) = x(t) - \bar{x}\)
SQUARE: \(y(t) = x(t \cdot x(t)\)
SQRT: \(y(t) = x(t)^{1/2}\)
NORMALIZER: \(y(t) = \frac{(x(t) - \bar{x})}{\sigma(x)}\)
DIFFERENTIATOR: \(y(t) = x(t) - x(t-1)\)
BACKWARD_FINITE_DIFF: \(y(t) = x(t) - x(t-1)\)
FORWARD_FINITE_DIFF: \(y(t) = x(t+1) - x(t)\)
CENTERED_FINITE_DIFF: \(y(t) = x(t+1) - x(t-1)\)
SECOND_ORDER_FINITE_DIFF: \(y(t) = x(t+1) - x(t-1)\)
DIODE: \(y(t) = 1[x>0] \cdot x(t)\)
SIGN: \(y(t) = \frac{x(t)}{\|x(t)\|}\)
EXP: \(y(t) = \exp(x(t))\)
LOG: \(y(t) = \log(x(t))\)
COS: \(y(t) = \cos(x(t))\)
SIN: \(y(t) = \sin(x(t))\)
TAN: \(y(t) = \tan(x(t))\)
Binary void operators:
ADDER: \(y(t) = x1(t) + x2(t)\)
SUBSTRACTER: \(y(t) = x1(t) - x2(t)\)
MULTIPLIER: \(y(t) = x1(t) \cdot x2(t)\)
DIVIDER: \(y(t) = x1(t) / x2(t)\)
POWER: \(y(t) = x1(t) ^ {x2(t)}\)
MODULO: \(y(t) = x1(t) % x2(t)\)
ABOVE: \(y(t) = x1(t) > x2(t)\)
BELOW: \(y(t) = x1(t) < x2(t)\)
QUAD_ADDER: \(y(t) = (x1(t)^2 + x2(t)^2)^0.5\)
RENORMALIZER: \(y(t) = (x1(t)-m(x1)) \cdot \frac{s(x2)}{s(x1)} + m(x2)\)
DERIVATOR: \(y(t) = \frac{(x1(t)-x1(t-1))}{(x2(t)-x2(t-1))} = \frac{dx1}{dx2}\)
POINTWISE_EQUALER: \(y(t) = 1\ \text{if}\ x1(t)=x2(t),\ 0\ \text{otherwise}\)
CONVOLUTION: \(y(t) = int(x1(h) \cdot x2(t-h)dh)\)
Unary operator
SUM: \(y = \Sigma x\)
AVERAGER: \(y = \bar{x}\)
VARIANCE: \(y = \var(x)\)
STDDEV: \(y = \sqrt{\var(x)}\)
MSE: \(y = \bar{x^2}\)
RMSE: \(y = \sqrt{\bar{x^2}}\)
MAD: \(y = \text{median}(|x|)\)
MIN: \(y = \min(x)\)
MAX: \(y = \max(x)\)
MEDIAN: \(y = \text{median}(x)\)
ARGMIN: \(y = \min {t | x(t) = \min(x)}\)
ARGMAX: \(y = \min {t | x(t) = \max(x)}\)
ZEROS: \(y = {t | x(t) = 0}\)
Binary operator
COVARIANCE: \(y = m[x1x2] - m[x1] \cdot m[x2]\)
CORRELATOR: \(y = \frac{\cov(x1,x2)}{\sigma(x1) \cdot sigma(x2)}\)
L0: \(y = {t | x1(t) \neq x2(t)}\)
L1: \(y = \bar{|x1(t)-x2(t)|}\)
L2: \(y = \bar{|x1(t)-x2(t)|^2}\)
LINF: \(y = \max(|x1(t)-x2(t)|)\)
EQUAL: \(y = 1\ \text{if} {x1(t) = x2(t)\ \text{for all t}}\)
Scalar operator
Scalar void operator
APPLY: \(y(t) = arg(x(t))\) (arg is a real function)
SHIFT: \(y(t) = x(t-arg)\) (arg is a integer)
SHIFT_REV: \(y(t) = x(t+arg)\) (arg is a integer)
SHIFT_CIRCULAR: \(y(t) = x((t-arg)%n)\) (arg is a integer)
SHIFT_CIRCULAR_REV: \(y(t) = x((t+arg)%n)\) (arg is a integer)
SCALAR_ADDER: \(y(t) = x(t) + arg\) (arg is a numeric)
SCALAR_SUBSTRACTER: \(:(t) = x(t) - arg\) (arg is a numeric)
SCALAR_MULTIPLIER: \(y(t) = arg * x(t)\) (arg is a numeric)
SCALAR_DIVIDER: \(y(t) = x(t) / arg\) (arg is a numeric)
SCALAR_POWER: \(y(t) = x(t) ** arg\) (arg is a numeric)
SCALAR_MODULO: \(y(t) = x(t) % arg\) (arg is a numeric)
SCALAR_ABOVE: \(y(t) = x1(t) > arg\) (arg is a numeric)
SCALAR_BELOW: \(y(t) = x1(t) < arg\) (arg is a numeric)
SCALAR_REV_ABOVE: \(y(t) = arg < x1(t)\) (arg is a numeric)
SCALAR_REV_BELOW: \(y(t) = arg > x1(t)\) (arg is a numeric)
SCALAR_REV_SUBSTRACTER: \(y(t) = arg - x(t)\) (arg is a numeric)
SCALAR_REV_DIVIDER: \(y(t) = arg / x(t)\) (arg is a numeric)
SCALAR_REV_POWER: \(y(t) = arg ** x(t)\) (arg is a numeric)
SCALAR_REV_MODULO: \(y(t) = arg % x(t)\) (arg is a numeric)
THRESHOLDER: \(= y(t) = 1 if x1(t) >= arg, 0 otherwise\) (arg is a numeric)
RANDOM: \(y(t) = eta(t) with eta ~ arg\)
FILTER: \(= y(t) = int[x(z)*h(t-z)dz]\) (arg is an odd-dimension vector or a kernel)
FILTER_FFT: \(y(t) = int[x(z)*h(t-z)dz]\) (fast version with FFT)
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__init__()
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__str__()
Return str(self).
This modules contains the classes to manage the operators
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class tracklib.core.Operator.UnaryOperator[source]
Abstract Class to define a Unary Operator
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abstract execute(track, af_input)[source]
Execution of the operator
- Parameters
track – TODO
af_input – TODO
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class tracklib.core.Operator.BinaryOperator[source]
Abstract Class to define a Binary Operator
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abstract execute(track, af_input1, af_input2)[source]
Execution of the operator
- Parameters
track – TODO
af_input1 – TODO
af_input2 – TODO
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class tracklib.core.Operator.UnaryVoidOperator[source]
Abstract Class to define a Unary Void Operator
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abstract execute(track, af_input, af_output)[source]
Execution of the operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
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class tracklib.core.Operator.BinaryVoidOperator[source]
Abstract Class to define a Binary Void Operator
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abstract execute(track, af_input1, af_input2, af_output)[source]
Execution of the operator
- Parameters
track – TODO
af_input1 – TODO
af_input2 – TODO
af_output – TODO
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class tracklib.core.Operator.ScalarOperator[source]
Abstract Class to define a Scalar Operator
-
abstract execute(track, af_input1, arg)[source]
Execution of the operator
- Parameters
track – TODO
af_input1 – TODO
arg – TODO
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class tracklib.core.Operator.ScalarVoidOperator[source]
Abstract Class to define a Scalar Void Operator
-
abstract execute(track, af_input1, arg, af_output)[source]
Execution of the operator
- Parameters
track – TODO
af_input1 – TODO
arg – TODO
af_output –
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tracklib.core.Operator.makeRPN(expression)[source]
TODO
- Parameters
expression (str
) – An RPN expression
- Return type
str
- Returns
TODO
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class tracklib.core.Operator.Identity[source]
Identity operator
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execute(track, af_input, af_output)[source]
Execute the identity operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
- Returns
TODO
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class tracklib.core.Operator.Integrator[source]
Integrator operator
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execute(track, af_input, af_output)[source]
Execute the integrator operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
- Returns
TODO
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class tracklib.core.Operator.Differentiator[source]
Differentiator Operator
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execute(track, af_input, af_output)[source]
Execute the Differentiator operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
- Returns
TODO
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class tracklib.core.Operator.ForwardFiniteDiff[source]
ForwardFiniteDiff Operator
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execute(track, af_input, af_output)[source]
Execute the ForwardFiniteDiff operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
- Returns
TODO
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class tracklib.core.Operator.BackwardFiniteDiff[source]
BackwardFiniteDiff Operator
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execute(track, af_input, af_output)[source]
Execute the BackwardFiniteDiff operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
- Returns
TODO
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class tracklib.core.Operator.CenteredFiniteDiff[source]
CenteredFiniteDiff Operator
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execute(track, af_input, af_output)[source]
Execute the CenteredFiniteDiff operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
- Returns
TODO
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class tracklib.core.Operator.SecondOrderFiniteDiff[source]
SecondOrderFiniteDiff Operator
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execute(track, af_input, af_output)[source]
Execute the SecondOrderFiniteDiff operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
- Returns
TODO
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class tracklib.core.Operator.ShiftRight[source]
ShiftRight Operator
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execute(track, af_input, af_output)[source]
Execute the ShiftRight operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
- Returns
TODO
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class tracklib.core.Operator.ShiftCircularRight[source]
ShiftRight Operator
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execute(track, af_input, af_output)[source]
Execute the ShiftRight operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
- Returns
TODO
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class tracklib.core.Operator.ShiftLeft[source]
ShiftLeft Operator
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execute(track, af_input, af_output)[source]
Execute the ShiftCircularLeft operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
- Returns
TODO
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class tracklib.core.Operator.ShiftCircularLeft[source]
ShiftLeft Operator
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execute(track, af_input, af_output)[source]
Execute the ShiftCircularLeft operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
- Returns
TODO
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class tracklib.core.Operator.Inverter[source]
Inverter Operator
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execute(track, af_input, af_output)[source]
Execute the Inverter operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
- Returns
TODO
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class tracklib.core.Operator.Inverser[source]
Inverser Operator
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execute(track, af_input, af_output)[source]
Execute the Inverser operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
- Returns
TODO
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class tracklib.core.Operator.Reverser[source]
Reverser Operator
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execute(track, af_input, af_output)[source]
Execute the Reverser operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
- Returns
TODO
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class tracklib.core.Operator.Rectifier[source]
Rectifier Operator
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execute(track, af_input, af_output)[source]
Execute the Rectifier operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
- Returns
TODO
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class tracklib.core.Operator.Debiaser[source]
Debiaser Operator
-
execute(track, af_input, af_output)[source]
Execute the Debiaser operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
- Returns
TODO
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class tracklib.core.Operator.Normalizer[source]
Normalizer Operator
-
execute(track, af_input, af_output)[source]
Execute the Normaliser operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
- Returns
TODO
-
class tracklib.core.Operator.Square[source]
Square Operator
-
execute(track, af_input, af_output)[source]
Execute the Square operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
- Returns
TODO
-
class tracklib.core.Operator.Sqrt[source]
Sqrt Operator
-
execute(track, af_input, af_output)[source]
Execute the Sqrt operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
- Returns
TODO
-
class tracklib.core.Operator.Diode[source]
Diode Operator
-
execute(track, af_input, af_output)[source]
Execute the Diode operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
- Returns
TODO
-
class tracklib.core.Operator.Sign[source]
Sign Operator
-
execute(track, af_input, af_output)[source]
Execute the Sign operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
- Returns
TODO
-
class tracklib.core.Operator.Exp[source]
Exp Operator
-
execute(track, af_input, af_output)[source]
Execute the Exp operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
- Returns
TODO
-
class tracklib.core.Operator.Log[source]
Log Operator
-
execute(track, af_input, af_output)[source]
Execute the Log operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
- Returns
TODO
-
class tracklib.core.Operator.Cos[source]
Cos Operator
-
execute(track, af_input, af_output)[source]
Execute the Cos operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
- Returns
TODO
-
class tracklib.core.Operator.Sin[source]
Sin operator
-
execute(track, af_input, af_output)[source]
Execute the Sin operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
- Returns
TODO
-
class tracklib.core.Operator.Tan[source]
Tan Operator
-
execute(track, af_input, af_output)[source]
Execute the Tan operator
- Parameters
track – TODO
af_input – TODO
af_output – TODO
- Returns
TODO
-
class tracklib.core.Operator.Adder[source]
Adder Operator
-
execute(track, af_input1, af_input2, af_output)[source]
Execute the Normaliser operator
- Parameters
track – TODO
af_input1 – TODO
af_input2 – TODO
af_output – TODO
- Returns
TODO
-
class tracklib.core.Operator.Substracter[source]
Substracter Operator
-
execute(track, af_input1, af_input2, af_output)[source]
Execute the Substracter operator
- Parameters
track – TODO
af_input1 – TODO
af_input2 – TODO
af_output – TODO
- Returns
TODO
-
class tracklib.core.Operator.Multiplier[source]
Multiplier Operator
-
execute(track, af_input1, af_input2, af_output)[source]
Execute the Multiplier operator
- Parameters
track – TODO
af_input1 – TODO
af_input2 – TODO
af_output – TODO
- Returns
TODO
-
class tracklib.core.Operator.Divider[source]
Divider Operator
-
execute(track, af_input1, af_input2, af_output)[source]
Execute the Divier operator
- Parameters
track – TODO
af_input1 – TODO
af_input2 – TODO
af_output – TODO
- Returns
TODO
-
class tracklib.core.Operator.Power[source]
Power operator
-
execute(track, af_input1, af_input2, af_output)[source]
Execute the Power operator
- Parameters
track – TODO
af_input1 – TODO
af_input2 – TODO
af_output – TODO
- Returns
TODO
-
class tracklib.core.Operator.Modulo[source]
Modulo Operator
-
execute(track, af_input1, af_input2, af_output)[source]
Execute the Modulo operator
- Parameters
track – TODO
af_input1 – TODO
af_input2 – TODO
af_output – TODO
- Returns
TODO
-
class tracklib.core.Operator.Above[source]
Above Operator
-
execute(track, af_input1, af_input2, af_output)[source]
Execute the Above operator
- Parameters
track – TODO
af_input1 – TODO
af_input2 – TODO
af_output – TODO
- Returns
TODO
-
class tracklib.core.Operator.Below[source]
Below Operator
-
execute(track, af_input1, af_input2, af_output)[source]
Execute the Below operator
- Parameters
track – TODO
af_input1 – TODO
af_input2 – TODO
af_output – TODO
- Returns
TODO
-
class tracklib.core.Operator.QuadraticAdder[source]
Quadratic Adder Operator
-
execute(track, af_input1, af_input2, af_output)[source]
Execute the Quadratic Adder operator
- Parameters
track – TODO
af_input1 – TODO
af_input2 – TODO
af_output – TODO
- Returns
TODO
-
class tracklib.core.Operator.Derivator[source]
Derivator Operator
-
execute(track, af_input1, af_input2, af_output)[source]
Execute the Derivator operator
- Parameters
track – TODO
af_input1 – TODO
af_input2 – TODO
af_output – TODO
- Returns
TODO
-
class tracklib.core.Operator.Renormalizer[source]
Renormalizer Operator
-
execute(track, af_input1, af_input2, af_output)[source]
Execute the Renormalizer operator
- Parameters
track – TODO
af_input1 – TODO
af_input2 – TODO
af_output – TODO
- Returns
TODO
-
class tracklib.core.Operator.PointwiseEqualer[source]
Pointwiser Equaler Operator
-
execute(track, af_input1, af_input2, af_output)[source]
Execute the Pointwiser Equaler operator
- Parameters
track – TODO
af_input1 – TODO
af_input2 – TODO
af_output – TODO
- Returns
TODO
-
class tracklib.core.Operator.Convolution[source]
Convolution Operator
-
execute(track, af_input1, af_input2, af_output)[source]
Execute the Convolution operator
- Parameters
track – TODO
af_input1 – TODO
af_input2 – TODO
af_output – TODO
- Returns
TODO
-
class tracklib.core.Operator.Correlator[source]
Correlator Operator
-
execute(track, af_input1, af_input2, af_output)[source]
Execute the Correlator operator
- Parameters
track – TODO
af_input1 – TODO
af_input2 – TODO
af_output – TODO
- Returns
TODO
-
class tracklib.core.Operator.Min[source]
Min Operator
-
execute(track, af_input)[source]
TODO
-
class tracklib.core.Operator.Max[source]
TODO
-
execute(track, af_input)[source]
TODO
-
class tracklib.core.Operator.Argmin[source]
TODO
-
execute(track, af_input)[source]
TODO
-
class tracklib.core.Operator.Argmax[source]
TODO
-
execute(track, af_input)[source]
TODO
-
class tracklib.core.Operator.Median[source]
TODO
-
execute(track, af_input)[source]
TODO
-
class tracklib.core.Operator.Zeros[source]
TODO
-
execute(track, af_input)[source]
TODO
-
class tracklib.core.Operator.Sum[source]
TODO
-
execute(track, af_input)[source]
TODO
-
class tracklib.core.Operator.Averager[source]
The average operator: y = mean(x)
-
execute(track, af_input)[source]
TODO
-
class tracklib.core.Operator.Variance[source]
TODO
-
execute(track, af_input)[source]
TODO
-
class tracklib.core.Operator.StdDev[source]
TODO
-
execute(track, af_input)[source]
TODO
-
class tracklib.core.Operator.Mse[source]
TODO
-
execute(track, af_input)[source]
TODO
-
class tracklib.core.Operator.Rmse[source]
Rmse Operator
-
execute(track, af_input)[source]
Execution of Rmse operator
-
class tracklib.core.Operator.Mad[source]
TODO
-
execute(track, af_input)[source]
TODO
-
class tracklib.core.Operator.Covariance[source]
TODO
-
execute(track, af_input1, af_input2)[source]
TODO
-
class tracklib.core.Operator.Correlation[source]
TODO
-
execute(track, af_input1, af_input2)[source]
TODO
-
class tracklib.core.Operator.L0Diff[source]
TODO
-
execute(track, af_input1, af_input2)[source]
TODO
-
class tracklib.core.Operator.L1Diff[source]
TODO
-
execute(track, af_input1, af_input2)[source]
TODO
-
class tracklib.core.Operator.L2Diff[source]
TODO
-
execute(track, af_input1, af_input2)[source]
TODO
-
class tracklib.core.Operator.LInfDiff[source]
TODO
-
execute(track, af_input1, af_input2)[source]
TODO
-
class tracklib.core.Operator.Equal[source]
TODO
-
execute(track, af_input1, af_input2)[source]
TODO
-
class tracklib.core.Operator.Aggregate[source]
TODO
-
execute(track, af_input, function)[source]
TODO
-
class tracklib.core.Operator.Shift[source]
TODO
-
execute(track, af_input, number, af_output)[source]
TODO
-
class tracklib.core.Operator.ShiftCircular[source]
TODO
-
execute(track, af_input, number, af_output)[source]
TODO
-
class tracklib.core.Operator.ShiftRev[source]
TODO
-
execute(track, af_input, number, af_output)[source]
TODO
-
class tracklib.core.Operator.ShiftCircularRev[source]
TODO
-
execute(track, af_input, number, af_output)[source]
TODO
-
class tracklib.core.Operator.ScalarAdder[source]
TODO
-
execute(track, af_input, number, af_output)[source]
TODO
-
class tracklib.core.Operator.ScalarSubstracter[source]
TODO
-
execute(track, af_input, number, af_output)[source]
TODO
-
class tracklib.core.Operator.ScalarRevSubstracter[source]
TODO
-
execute(track, af_input, number, af_output)[source]
TODO
-
class tracklib.core.Operator.ScalarMuliplier[source]
TODO
-
execute(track, af_input, number, af_output)[source]
TODO
-
class tracklib.core.Operator.ScalarDivider[source]
TODO
-
execute(track, af_input, number, af_output)[source]
TODO
-
class tracklib.core.Operator.ScalarRevDivider[source]
TODO
-
execute(track, af_input, number, af_output)[source]
TODO
-
class tracklib.core.Operator.ScalarPower[source]
TODO
-
execute(track, af_input, number, af_output)[source]
TODO
-
class tracklib.core.Operator.ScalarModulo[source]
TODO
-
execute(track, af_input, number, af_output)[source]
TODO
-
class tracklib.core.Operator.ScalarBelow[source]
TODO
-
execute(track, af_input, number, af_output)[source]
TODO
-
class tracklib.core.Operator.ScalarRevBelow[source]
TODO
-
execute(track, af_input, number, af_output)[source]
TODO
-
class tracklib.core.Operator.ScalarAbove[source]
TODO
-
execute(track, af_input, number, af_output)[source]
TODO
-
class tracklib.core.Operator.ScalarRevAbove[source]
TODO
-
execute(track, af_input, number, af_output)[source]
TODO
-
class tracklib.core.Operator.ScalarRevPower[source]
TODO
-
execute(track, af_input, number, af_output)[source]
TODO
-
class tracklib.core.Operator.ScalarRevModulo[source]
TODO
-
execute(track, af_input, number, af_output)[source]
TODO
-
class tracklib.core.Operator.Thresholder[source]
TODO
-
execute(track, af_input, number, af_output)[source]
TODO
-
class tracklib.core.Operator.Apply[source]
TODO
-
execute(track, af_input, function, af_output)[source]
TODO
-
class tracklib.core.Operator.Filter[source]
TODO
-
execute(track, af_input, kernel, af_output)[source]
TODO
-
class tracklib.core.Operator.Filter_FFT[source]
TODO
-
execute(track, af_input, kernel, af_output)[source]
TODO
-
class tracklib.core.Operator.Random[source]
TODO
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execute(track, af_input, probability, af_output)[source]
TODO