From f0841f548930c3d38b69ec17058d6c30b2671bff Mon Sep 17 00:00:00 2001 From: Robert Jordens Date: Fri, 7 Jul 2017 11:43:58 +0200 Subject: [PATCH] spline: be really verbose closes #773 --- artiq/coredevice/spline.py | 36 +++++++++++++++++++++--------------- 1 file changed, 21 insertions(+), 15 deletions(-) diff --git a/artiq/coredevice/spline.py b/artiq/coredevice/spline.py index 2f75879d6..3aeedf57a 100644 --- a/artiq/coredevice/spline.py +++ b/artiq/coredevice/spline.py @@ -9,13 +9,18 @@ class Spline: One knot of a polynomial basis spline (B-spline) :math:`u(t)` is defined by the coefficients :math:`u_n` up to order :math:`n = k`. - If the knot is evaluated starting at time :math:`t_0`, the output - :math:`u(t)` for :math:`t > t_0, t_0` is: + If the coefficients are evaluated starting at time :math:`t_0`, + the output :math:`u(t)` for :math:`t > t_0, t_0` is: .. math:: u(t) &= \sum_{n=0}^k \frac{u_n}{n!} (t - t_0)^n \\ &= u_0 + u_1 (t - t_0) + \frac{u_2}{2} (t - t_0)^2 + \dots + This class contains multiple methods to convert spline knot data from SI + to machine units and multiple methods that set the current spline + coefficient data. None of these advance the timeline. The :meth:`smooth` + method is the only method that advances the timeline. + :param width: Width in bits of the quantity that this spline controls :param time_width: Width in bits of the time counter of this spline :param channel: RTIO channel number @@ -38,19 +43,19 @@ class Spline: @portable(flags={"fast-math"}) def to_mu(self, value: TFloat) -> TInt32: - """Convert floating point `value` from physical units to 32 bit + """Convert floating point ``value`` from physical units to 32 bit integer machine units.""" return int32(round(value*self.scale)) @portable(flags={"fast-math"}) def from_mu(self, value: TInt32) -> TFloat: - """Convert 32 bit integer `value` from machine units to floating point - physical units.""" + """Convert 32 bit integer ``value`` from machine units to floating + point physical units.""" return value/self.scale @portable(flags={"fast-math"}) def to_mu64(self, value: TFloat) -> TInt64: - """Convert floating point `value` from physical units to 64 bit + """Convert floating point ``value`` from physical units to 64 bit integer machine units.""" return int64(round(value*self.scale)) @@ -92,7 +97,7 @@ class Spline: by the RTIO gateware. :param packed: TList(TInt32) list for packed RTIO data. Must be pre-allocated. Length in bits is - `n*width + (n - 1)*n//2*time_width` + ``n*width + (n - 1)*n//2*time_width`` """ pos = 0 for i in range(len(coeff)): @@ -139,7 +144,7 @@ class Spline: RTIO data list. This is a host-only method that can be used to generate packed - spline knot data to be frozen into kernels at compile time. + spline coefficient data to be frozen into kernels at compile time. """ n = len(coeff64) width = n*self.width + (n - 1)*n//2*self.time_width @@ -152,7 +157,7 @@ class Spline: packed data. This is a host-only method that can be used to generate packed - spline knot data to be frozen into kernels at compile time. + spline coefficient data to be frozen into kernels at compile time. """ coeff64 = [int64(0)] * len(coeff) self.coeff_to_mu(coeff, coeff64) @@ -168,7 +173,7 @@ class Spline: If more coefficients are supplied than the gateware supports the extra coefficients are ignored. - :param value: List of floating point spline knot coefficients, + :param value: List of floating point spline coefficients, lowest order (constant) coefficient first. Units are the unit of this spline's value times increasing powers of 1/s. """ @@ -186,19 +191,20 @@ class Spline: """Initiate an interpolated value change. For zeroth order (step) interpolation, the step is at - `start + duration/2`. + ``start + duration/2``. First order interpolation corresponds to a linear value ramp from - `start` to `stop` over `duration`. + ``start`` to ``stop`` over ``duration``. The third order interpolation is constrained to have zero first order derivative at both `start` and `stop`. For first order and third order interpolation (linear and cubic) - the interpolator needs to be stopped (or fed a new spline knot) - explicitly at the stop time. + the interpolator needs to be stopped explicitly at the stop time + (e.g. by setting spline coefficient data or starting a new + :meth:`smooth` interpolation). - This method advances the timeline by `duration`. + This method advances the timeline by ``duration``. :param start: Initial value of the change. In physical units. :param stop: Final value of the change. In physical units.