Add synthetic array (waveform) DSP support + UX improvements

Adds full array/waveform support through the synthetic DSP engine: a
dsp.Sample value model (scalar or []float64), array ops (index, slice,
sum, mean, min, max, length, fft) with an in-tree radix-2 FFT, and static
type propagation (OpOutputType) that the editor mirrors to colour wires by
data type and flag invalid wirings. Stateful filters and lua stay
scalar-only. Adds a waveform plot mode (x-vs-index trace).

Also: errored-node hover reasons, S/N add-signal/add-node HUD shortcuts in
the synthetic editor, and view-mode widgets that blend with the canvas
background (chrome kept in edit mode).

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

internal/dsp/fft.go

@@ -0,0 +1,58 @@
+package dsp
+
+import "math"
+
+// nextPow2 returns the smallest power of two >= n (and at least 1).
+func nextPow2(n int) int {
+	p := 1
+	for p < n {
+		p <<= 1
+	}
+	return p
+}
+
+// fftRadix2 computes the in-place iterative radix-2 Cooley-Tukey FFT of the
+// complex signal held in re/im. len(re) == len(im) must be a power of two. The
+// transform overwrites re/im with the frequency-domain result. This is a small
+// self-contained implementation (no external dependency) used by the synthetic
+// fft op.
+func fftRadix2(re, im []float64) {
+	n := len(re)
+	if n <= 1 {
+		return
+	}
+
+	// Bit-reversal permutation.
+	for i, j := 1, 0; i < n; i++ {
+		bit := n >> 1
+		for ; j&bit != 0; bit >>= 1 {
+			j ^= bit
+		}
+		j ^= bit
+		if i < j {
+			re[i], re[j] = re[j], re[i]
+			im[i], im[j] = im[j], im[i]
+		}
+	}
+
+	// Danielson-Lanczos butterflies.
+	for length := 2; length <= n; length <<= 1 {
+		ang := -2 * math.Pi / float64(length)
+		wReal, wImag := math.Cos(ang), math.Sin(ang)
+		for i := 0; i < n; i += length {
+			curReal, curImag := 1.0, 0.0
+			half := length >> 1
+			for k := 0; k < half; k++ {
+				a := i + k
+				b := i + k + half
+				tReal := curReal*re[b] - curImag*im[b]
+				tImag := curReal*im[b] + curImag*re[b]
+				re[b] = re[a] - tReal
+				im[b] = im[a] - tImag
+				re[a] += tReal
+				im[a] += tImag
+				curReal, curImag = curReal*wReal-curImag*wImag, curReal*wImag+curImag*wReal
+			}
+		}
+	}
+}