public void ReferenceTest()
{
int inchannels = 8, outchannels = 12, batch = 3;
float[] xval = (new float[batch * inchannels]).Select((_, idx) => idx * 1e-3f).ToArray();
float[] wval = (new float[outchannels * inchannels / 4]).Select((_, idx) => idx * 1e-3f).Reverse().ToArray();
Quaternion[] xcval = (new Quaternion[xval.Length / 4])
.Select((_, idx) => new Quaternion(xval[idx * 4], xval[idx * 4 + 1], xval[idx * 4 + 2], xval[idx * 4 + 3])).ToArray();
Quaternion[] wcval = (new Quaternion[wval.Length / 4])
.Select((_, idx) => new Quaternion(wval[idx * 4], wval[idx * 4 + 1], wval[idx * 4 + 2], wval[idx * 4 + 3])).ToArray();
QuaternionMap0D x = new QuaternionMap0D(inchannels / 4, batch, xcval);
QuaternionFilter0D w = new QuaternionFilter0D(inchannels / 4, outchannels / 4, wcval);
QuaternionMap0D y = Reference(x, w);
float[] y_expect =
{
-3.520000e-04f, 1.440000e-04f, 3.200000e-04f, 2.200000e-04f, -1.920000e-04f, 8.000000e-05f,
1.920000e-04f, 1.240000e-04f, -3.200000e-05f, 1.600000e-05f, 6.400000e-05f, 2.800000e-05f,
-9.280000e-04f, 7.840000e-04f, 9.920000e-04f, 8.280000e-04f, -5.120000e-04f, 4.640000e-04f,
6.080000e-04f, 4.760000e-04f, -9.600000e-05f, 1.440000e-04f, 2.240000e-04f, 1.240000e-04f,
-1.504000e-03f, 1.424000e-03f, 1.664000e-03f, 1.436000e-03f, -8.320000e-04f, 8.480000e-04f,
1.024000e-03f, 8.280000e-04f, -1.600000e-04f, 2.720000e-04f, 3.840000e-04f, 2.200000e-04f,
};
float[] y_actual = y.ToArray();
AssertError.Tolerance(y_expect, y_actual, 1e-7f, 1e-5f, $"mismatch value {inchannels},{outchannels},{batch}");
}
public void ReferenceTest()
{
int inchannels = 8, outchannels = 12, batch = 3;
float[] xval = (new float[inchannels * batch]).Select((_, idx) => idx * 1e-3f).ToArray();
float[] yval = (new float[outchannels * batch]).Select((_, idx) => idx * 1e-3f).Reverse().ToArray();
Quaternion[] xcval = (new Quaternion[xval.Length / 4])
.Select((_, idx) => new Quaternion(xval[idx * 4], xval[idx * 4 + 1], xval[idx * 4 + 2], xval[idx * 4 + 3])).ToArray();
Quaternion[] ycval = (new Quaternion[yval.Length / 4])
.Select((_, idx) => new Quaternion(yval[idx * 4], yval[idx * 4 + 1], yval[idx * 4 + 2], yval[idx * 4 + 3])).ToArray();
QuaternionMap0D x = new QuaternionMap0D(inchannels / 4, batch, xcval);
QuaternionMap0D y = new QuaternionMap0D(outchannels / 4, batch, ycval);
QuaternionFilter0D gw = Reference(x, y);
float[] gw_expect =
{
1.668000e-03f, -1.084202e-19f, -3.720000e-04f, -1.860000e-04f, 2.700000e-03f, 1.084202e-19f,
-4.200000e-04f, -2.100000e-04f, 1.212000e-03f, -0.000000e+00f, -3.240000e-04f, -1.620000e-04f,
2.052000e-03f, 1.084202e-19f, -3.720000e-04f, -1.860000e-04f, 7.560000e-04f, -0.000000e+00f,
-2.760000e-04f, -1.380000e-04f, 1.404000e-03f, 5.421011e-20f, -3.240000e-04f, -1.620000e-04f,
};
float[] gw_actual = gw.ToArray();
AssertError.Tolerance(gw_expect, gw_actual, 1e-7f, 1e-5f, $"mismatch value {inchannels},{outchannels},{batch}");
}
public void ReferenceTest()
{
int inchannels = 8, outchannels = 12, batch = 3;
float[] yval = (new float[outchannels * batch]).Select((_, idx) => idx * 1e-3f).ToArray();
float[] wval = (new float[outchannels * inchannels / 4]).Select((_, idx) => idx * 1e-3f).Reverse().ToArray();
Quaternion[] ycval = (new Quaternion[yval.Length / 4])
.Select((_, idx) => new Quaternion(yval[idx * 4], yval[idx * 4 + 1], yval[idx * 4 + 2], yval[idx * 4 + 3])).ToArray();
Quaternion[] wcval = (new Quaternion[wval.Length / 4])
.Select((_, idx) => new Quaternion(wval[idx * 4], wval[idx * 4 + 1], wval[idx * 4 + 2], wval[idx * 4 + 3])).ToArray();
QuaternionMap0D y = new QuaternionMap0D(outchannels / 4, batch, ycval);
QuaternionFilter0D w = new QuaternionFilter0D(inchannels / 4, outchannels / 4, wcval);
QuaternionMap0D x = Reference(y, w);
float[] x_expect =
{
-3.880000e-04f, 2.080000e-04f, 4.120000e-04f, 2.740000e-04f, -2.200000e-04f, 1.120000e-04f,
2.680000e-04f, 1.540000e-04f, -1.252000e-03f, 1.216000e-03f, 1.492000e-03f, 1.210000e-03f,
-7.960000e-04f, 8.320000e-04f, 1.060000e-03f, 8.020000e-04f, -2.116000e-03f, 2.224000e-03f,
2.572000e-03f, 2.146000e-03f, -1.372000e-03f, 1.552000e-03f, 1.852000e-03f, 1.450000e-03f,
};
float[] x_actual = x.ToArray();
AssertError.Tolerance(x_expect, x_actual, 1e-7f, 1e-5f, $"mismatch value {inchannels},{outchannels},{batch}");
}
public void ExecuteTest()
{
float max_err = 0;
foreach (int batch in new int[] { 1, 2, 3 })
{
foreach (int inchannels in new int[] { 4, 8, 12 })
{
foreach (int outchannels in new int[] { 4, 8, 12 })
{
float[] xval = (new float[inchannels * batch]).Select((_, idx) => idx * 1e-3f).ToArray();
float[] yval = (new float[outchannels * batch]).Select((_, idx) => idx * 1e-3f).Reverse().ToArray();
Quaternion[] xcval = (new Quaternion[xval.Length / 4])
.Select((_, idx) => new Quaternion(xval[idx * 4], xval[idx * 4 + 1], xval[idx * 4 + 2], xval[idx * 4 + 3])).ToArray();
Quaternion[] ycval = (new Quaternion[yval.Length / 4])
.Select((_, idx) => new Quaternion(yval[idx * 4], yval[idx * 4 + 1], yval[idx * 4 + 2], yval[idx * 4 + 3])).ToArray();
QuaternionMap0D x = new QuaternionMap0D(inchannels / 4, batch, xcval);
QuaternionMap0D y = new QuaternionMap0D(outchannels / 4, batch, ycval);
QuaternionFilter0D gw = Reference(x, y);
OverflowCheckedTensor x_tensor = new OverflowCheckedTensor(Shape.Map0D(inchannels, batch), xval);
OverflowCheckedTensor y_tensor = new OverflowCheckedTensor(Shape.Map0D(outchannels, batch), yval);
OverflowCheckedTensor gw_tensor = new OverflowCheckedTensor(Shape.Kernel0D(inchannels, outchannels / 4));
QuaternionKernelProductDense ope = new QuaternionKernelProductDense(inchannels, outchannels, transpose: false, batch);
ope.Execute(x_tensor, y_tensor, gw_tensor);
float[] gw_expect = gw.ToArray();
float[] gw_actual = gw_tensor.State;
CollectionAssert.AreEqual(xval, x_tensor.State);
CollectionAssert.AreEqual(yval, y_tensor.State);
AssertError.Tolerance(gw_expect, gw_actual, 1e-7f, 1e-5f, ref max_err, $"mismatch value {inchannels},{outchannels},{batch}");
Console.WriteLine($"pass: {inchannels},{outchannels},{batch}");
}
}
}
Console.WriteLine($"maxerr:{max_err}");
}
public static QuaternionMap0D Reference(QuaternionMap0D y, QuaternionFilter0D w)
{
int inchannels = w.InChannels, outchannels = w.OutChannels, batch = y.Batch;
QuaternionMap0D x = new QuaternionMap0D(inchannels, batch);
for (int th = 0; th < batch; th++)
{
for (int outch = 0; outch < outchannels; outch++)
{
Quaternion v = y[outch, th];
for (int inch = 0; inch < inchannels; inch++)
{
x[inch, th] += v * w[inch, outch];
}
}
}
return(x);
}
public static QuaternionFilter0D Reference(QuaternionMap0D x, QuaternionMap0D gy)
{
int inchannels = x.Channels, outchannels = gy.Channels, batch = x.Batch;
QuaternionFilter0D w = new QuaternionFilter0D(inchannels, outchannels);
for (int inch, outch = 0; outch < outchannels; outch++)
{
for (inch = 0; inch < inchannels; inch++)
{
Quaternion sum = 0;
for (int th = 0; th < batch; th++)
{
sum += Quaternion.MulGrad(gy[outch, th], x[inch, th]);
}
w[inch, outch] = sum;
}
}
return(w);
}
public static QuaternionMap0D Reference(QuaternionMap0D x, QuaternionFilter0D w)
{
int inchannels = x.Channels, outchannels = w.OutChannels, batch = x.Batch;
QuaternionMap0D y = new QuaternionMap0D(outchannels, batch);
for (int th = 0; th < batch; th++)
{
for (int outch = 0; outch < outchannels; outch++)
{
Quaternion sum = y[outch, th];
for (int inch = 0; inch < inchannels; inch++)
{
sum += x[inch, th] * w[inch, outch];
}
y[outch, th] = sum;
}
}
return(y);
}