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sawg: spline knot packing/conversion, unittest
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@ -1,5 +1,5 @@
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from numpy import int32, int64
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from artiq.language.core import kernel, now_mu, portable
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from artiq.language.core import kernel, now_mu, portable, delay
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from artiq.coredevice.rtio import rtio_output, rtio_output_list
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from artiq.language.types import TInt32, TInt64, TFloat, TList
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@ -12,22 +12,22 @@ class Spline:
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self.core = core_device
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self.channel = channel
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self.width = width
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self.scale = (1 << width) / scale
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self.scale = (1 << width) * scale
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self.time_width = time_width
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self.time_scale = (1 << time_width) / core_device.coarse_ref_period
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self.time_scale = (1 << time_width) * core_device.coarse_ref_period
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@portable(flags=["fast-math"])
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@portable(flags={"fast-math"})
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def to_mu(self, value: TFloat) -> TInt32:
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return int(round(value*self.scale))
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@portable(flags=["fast-math"])
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@portable(flags={"fast-math"})
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def from_mu(self, value: TInt32) -> TFloat:
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return value/self.scale
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@portable(flags=["fast-math"])
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@portable(flags={"fast-math"})
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def to_mu64(self, value: TFloat) -> TList(TInt32):
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v = int64(round(value*self.scale))
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return [int32(v), int32(v >> 32)]
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return [int32(v), int32((v >> 32) & 0xffffffff)]
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@kernel
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def set_mu(self, value: TInt32):
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@ -61,20 +61,45 @@ class Spline:
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"""
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rtio_output_list(now_mu(), self.channel, 0, value)
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@portable(flags=["fast-math"])
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def coeff_to_mu(self, value: TList(TFloat)) -> TList(TInt32):
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l = len(value)
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w = l*self.width + (l - 1)*l//2*self.time_width
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v = [0] * ((w + 31)//32)
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j = 0
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for i, vi in enumerate(value):
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w = self.width + i*self.time_width
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vi = int64(round(vi*(self.scale*self.time_scale**i)))
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for k in range(0, w, 16):
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wi = (vi >> k) & 0xffff
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v[j//2] += wi << (16 * ((j + 1)//2 - j//2))
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j += 1
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return v
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@portable(flags={"fast-math"})
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def pack_coeff_mu(self, coeff: TList(TInt64)) -> TList(TInt32):
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n = len(coeff)
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width = n*self.width + (n - 1)*n//2*self.time_width
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packed = [int32(0)] * ((width + 31)//32)
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pos = 0
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for i in range(n):
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wi = self.width + i*self.time_width
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ci = coeff[i]
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while wi:
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j = pos//32
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used = pos - 32*j
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avail = 32 - used
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if avail > wi:
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avail = wi
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packed[j] |= (ci & ((1 << avail) - 1)) << used
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ci >>= avail
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wi -= avail
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pos += avail
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return packed
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@portable(flags={"fast-math"})
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def coeff_to_mu(self, coeff: TList(TFloat)) -> TList(TInt32):
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n = len(coeff)
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coeff64 = [int64(0)] * n
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for i in range(n):
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vi = coeff[i] * self.scale
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for j in range(i):
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vi *= self.time_scale
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vi = int(round(vi))
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coeff64[i] = vi
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# artiq.wavesynth.coefficients.discrete_compensate:
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continue
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if i == 2:
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coeff64[1] += vi >> (self.time_width + 1)
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elif i == 3:
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coeff64[2] += vi >> self.time_width
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coeff64[1] += (vi // 3) >> (2*self.time_width + 1)
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return self.pack_coeff_mu(coeff64)
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@kernel
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def set_list(self, value: TList(TFloat)):
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@ -85,6 +110,42 @@ class Spline:
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"""
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self.set_list_mu(self.coeff_to_mu(value))
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@kernel(flags={"fast-math"})
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def smooth(self, start, stop, duration, order):
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"""Initiate an interpolated value change.
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The third order interpolation is constrained to have zero first
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order derivative at both start and stop.
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For zeroth order (step) interpolation, the step is at duration/2.
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For first order and third order interpolation (linear and cubic)
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the interpolator needs to be stopped (or fed a new spline knot)
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explicitly at the stop time.
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This method advances the timeline by `duration`.
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:param start: Initial value of the change.
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:param stop: Final value of the change.
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:param duration: Duration of the interpolation.
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:param order: Order of the interpolation. Only 0, 1,
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and 3 are valid: step, linear, cubic.
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"""
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if order == 0:
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delay(duration/2)
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self.set_list([stop])
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delay(duration/2)
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elif order == 1:
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self.set_list([start, (stop - start)/duration])
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delay(duration)
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elif order == 3:
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v2 = 6*(stop - start)/(duration*duration)
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self.set_list([start, 0., v2, -2*v2/duration])
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delay(duration)
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else:
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raise ValueError("Invalid interpolation order. "
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"Supported orders are: 0, 1, 3.")
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class SAWG:
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"""Smart arbitrary waveform generator channel.
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@ -119,21 +180,21 @@ class SAWG:
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cordic_gain = 1.646760258057163 # Cordic(width=16, guard=None).gain
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# cfg: channel_base
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self.offset = Spline(width, time_width, channel_base + 1,
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self.core, 2)
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self.core, 1/2)
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self.amplitude1 = Spline(width, time_width, channel_base + 2,
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self.core, 2*cordic_gain**2)
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self.core, 1/(2*cordic_gain**2))
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self.frequency1 = Spline(3*width, time_width, channel_base + 3,
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self.core, self.core.coarse_ref_period)
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self.core, 1/self.core.coarse_ref_period)
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self.phase1 = Spline(width, time_width, channel_base + 4,
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self.core, 1.)
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self.amplitude2 = Spline(width, time_width, channel_base + 5,
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self.core, 2*cordic_gain**2)
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self.core, 1/(2*cordic_gain**2))
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self.frequency2 = Spline(3*width, time_width, channel_base + 6,
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self.core, self.core.coarse_ref_period)
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self.core, 1/self.core.coarse_ref_period)
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self.phase2 = Spline(width, time_width, channel_base + 7,
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self.core, 1.)
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self.frequency0 = Spline(2*width, time_width, channel_base + 8,
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self.core,
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parallelism/self.core.coarse_ref_period)
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self.core.coarse_ref_period/parallelism)
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self.phase0 = Spline(width, time_width, channel_base + 9,
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self.core, 1.)
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@ -1,5 +1,4 @@
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import unittest
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import numpy as np
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from numpy import int32, int64
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import migen as mg
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@ -21,7 +20,7 @@ class RTIOManager:
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self.rtio_output(*args, **kwargs)
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def patch(self, mod):
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assert not getattr(mod, "_saved", None)
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assert not hasattr(mod, "_saved")
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mod._saved = {}
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for name in "rtio_output rtio_output_list".split():
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mod._saved[name] = getattr(mod, name, None)
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@ -63,7 +62,8 @@ class SAWGTest(unittest.TestCase):
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(1 << self.driver.offset.width - 1)*.9))),
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(2*8, 8, 0, [int(round(
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(1 << self.driver.frequency0.width) /
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self.channel.parallelism*.1)), 0]),
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self.channel.parallelism*d.core.coarse_ref_period*.1)),
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0]),
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(4*8, 1, 0, 0),
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])
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@ -79,7 +79,7 @@ class SAWGTest(unittest.TestCase):
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yield phy.rtlink.o.stb.eq(0)
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rt = dut.phys[channel].rtlink.o
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if isinstance(data, list):
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data = sum(d << i*32 for i, d in enumerate(data))
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data = sum(int(d) << (i*32) for i, d in enumerate(data))
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yield rt.data.eq(int(data))
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yield rt.stb.eq(1)
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assert not (yield rt.busy)
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@ -98,10 +98,9 @@ class SAWGTest(unittest.TestCase):
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vcd_name="dds.vcd")
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return sum(data, [])
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def test_channel(self):
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def test_run_channel(self):
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self.test_make_events()
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out = self.run_channel(self.rtio_manager.outputs)
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print(out)
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def test_coeff(self):
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import struct
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@ -111,10 +110,11 @@ class SAWGTest(unittest.TestCase):
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p = ch.coeff_to_mu(v)
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t = ch.time_width
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w = ch.width
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p0 = [struct.pack("<" + "_hiqq"[(w + i*t)//16],
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int(round(vi*ch.scale*ch.time_scale**i))
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)[:(w + i*t)//8]
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p0 = [int(round(vi*ch.scale*ch.time_scale**i))
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for i, vi in enumerate(v)]
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p0 = [struct.pack("<" + "_bhiiqqqq"[(w + i*t)//8], vi
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)[:(w + i*t)//8]
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for i, vi in enumerate(p0)]
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p0 = b"".join(p0)
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if len(p0) % 4:
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p0 += b"\x00"*(4 - len(p0) % 4)
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@ -129,6 +129,45 @@ class SAWGTest(unittest.TestCase):
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d.offset.set_list([0])
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delay_mu(1*8)
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out = self.run_channel(self.rtio_manager.outputs)
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self.assertEqual(
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out, sum(([100 + i*10]*self.channel.parallelism
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for i in range(11)), []))
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for i in range(len(out)//2):
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with self.subTest(i):
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v = 100 + i*10
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self.assertEqual(out[2*i], v)
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self.assertEqual(out[2*i+1], v)
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def test_pack(self):
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ch = self.driver.offset
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self.assertEqual(ch.pack_coeff_mu([1]), [1])
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self.assertEqual(ch.pack_coeff_mu([1, 1 << 16]), [1, 1])
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self.assertEqual(ch.pack_coeff_mu([1, 1 << 32]), [1, 0])
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self.assertEqual(ch.pack_coeff_mu([0x1234, 0xa5a5a5a5]),
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[0xa5a51234, 0xa5a5])
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self.assertEqual(ch.pack_coeff_mu([1, 2, 3, 4]),
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[0x20001, 0x30000, 0, 4, 0])
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self.assertEqual(ch.pack_coeff_mu([-1, -2, -3, -4]),
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[0xfffeffff, 0xfffdffff, 0xffffffff,
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0xfffffffc, 0xffffffff])
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self.assertEqual(ch.pack_coeff_mu([0, -1, 0, -1]),
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[0xffff0000, 0x0000ffff, 0,
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0xffffffff, 0xffffffff])
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def test_smooth_linear(self):
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ch = self.driver.offset
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ch.smooth(.1, .2, 13*ch.core.coarse_ref_period, 1)
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ch.set(.2)
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delay_mu(1*8)
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out = self.run_channel(self.rtio_manager.outputs)
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a = int(round(.1*ch.scale))
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da = a//13
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for i in range(len(out)//2):
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with self.subTest(i):
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v = a + i*da
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self.assertEqual(out[2*i], v)
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self.assertEqual(out[2*i+1], v)
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def test_smooth_cubic(self):
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ch = self.driver.offset
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ch.smooth(.1, .2, 13*ch.core.coarse_ref_period, 3)
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ch.set(.2)
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delay_mu(1*8)
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out = self.run_channel(self.rtio_manager.outputs)
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