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Copy file name to clipboardExpand all lines: doc/manual/tuto/cp_robotics/lesson_c_dynamic_localization.rst
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**C.8.** **Fixpoint resolution.** Finally, the propagation loops need to be updated to incorporate the dynamic constraints.
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Note that the contractors :math:`\mathcal{C}_\mathbf{f}` and :math:`\mathcal{C}_{\mathrm{deriv}}` apply to the whole tubes :math:`[\mathbf{x}](\cdot)` and :math:`[\mathbf{v}](\cdot)`. Furthermore, the class ``CtcInverse`` can contract tubes using the ``.contract_tube(..)`` method, exactly as we would do for boxes. Finally, a *restriction* on a tube (*i.e.* setting a value to a slice) can be done using the ``.set(y,t)`` method, for setting the interval vector value ``y`` at time ``t``.
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Note that the contractors :math:`\mathcal{C}_\mathbf{f}` and :math:`\mathcal{C}_{\mathrm{deriv}}` apply to the whole tubes :math:`[\mathbf{x}](\cdot)` and :math:`[\mathbf{v}](\cdot)`. Furthermore, the class ``CtcInverse`` can contract tubes using the ``.contract(..)`` method, exactly as we would do for boxes. Finally, a *restriction* on a tube (*i.e.* setting a value to a slice) can be done using the ``.set(y,t)`` method, for setting the interval vector value ``y`` at time ``t``.
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