Qu

floor

Builtin index · Core maths

result = floor(x)

Input: x · Output: result

What it is

Standard rounding functions, elementwise: floor toward negative infinity, ceil toward positive infinity, round to the nearest integer (half away from zero). x is a scalar, Vec, or Mat/Signal.

Overloads

One call shape — this function is not overloaded.

CodeInputOutputDescription
result = floor(x)
x scalar, Vec, Mat, or Signalnot documented yet
result —
Returns exactly the same type and shape as x, rounded elementwise.

Examples

From the documentation, and run by the build -- the output and the figure below are what the engine actually produced. Simplest first.

n_per_class = 60
c0x = normal(0, 0.6, n_per_class, seed=1)
c0y = normal(0, 0.6, n_per_class, seed=2)
c1x = normal(4, 0.6, n_per_class, seed=3)
c1y = normal(4, 0.6, n_per_class, seed=4)

Xc0 = hstack(reshape(c0x, n_per_class, 1), reshape(c0y, n_per_class, 1))
Xc1 = hstack(reshape(c1x, n_per_class, 1), reshape(c1y, n_per_class, 1))
Xc = vstack(Xc0, Xc1)             # (120, 2)


n = 2 * n_per_class
idx = 0 to n - 1
y = floor(idx / n_per_class)      # 0 for the first 60 rows, 1 for the last 60


function one_hot(labels, rows, k)
    m = zeros(rows, k)
    for i = 0 to rows - 1
        m[i, labels[i]] = 1
    end for
    return m
end function

Y = one_hot(y, n, 2)

net = mlp_classifier(2, [8], 2, seed=42)
trained = net.fit(Xc, Y, epochs=200, lr=0.1, loss="cross_entropy")

function accuracy(model, X, Ytrue, rows)
    logits = model.predict(X)
    correct = 0
    for i = 0 to rows - 1
        if argmax(logits[i, :]) == argmax(Ytrue[i, :]) then
            correct = correct + 1
        end if
    end for
    return correct / rows
end function

acc = accuracy(trained, Xc, Y, n)
print("training accuracy = {acc:.4f}")
output
training accuracy = 1.0000

from quickstart

See also

ceil, round — documented in the same entry.