float boxMask(float2 point, float2 halfSize, float feather)
{
	// Signed-distance box mask gives the chart and border pixel-sized feathered
	// edges without branching per side.
	float2 distanceToEdge = abs(point) - halfSize;
	float outsideDistance = length(max(distanceToEdge, float2(0.0, 0.0)));
	float insideDistance = min(max(distanceToEdge.x, distanceToEdge.y), 0.0);
	float signedDistance = outsideDistance + insideDistance;
	return 1.0 - smoothstep(0.0, max(feather, 0.00001), signedDistance);
}

float rec709Oetf(float linearLevel)
{
	float value = saturate(linearLevel);
	if (value < 0.018)
		return 4.5 * value;
	return 1.099 * pow(value, 0.45) - 0.099;
}

float applyToneCurve(float linearLevel)
{
	float value = saturate(linearLevel);
	if (toneCurve == 1)
	{
		float safeGamma = max(gammaEncode, 0.001);
		return pow(value, 1.0 / safeGamma);
	}
	if (toneCurve == 2)
		return rec709Oetf(value);
	return value;
}

float patchBrightness(int patchIndex, int count)
{
	int clampedIndex = clamp(patchIndex, 0, max(count - 1, 0));
	// Each patch is one stop brighter than the previous patch until it clips at
	// the requested peak level, matching the Xyla-style exposure ramp.
	float linearLevel = baseLevel * exp2(float(clampedIndex));
	linearLevel = min(linearLevel, peakLevel);
	return applyToneCurve(linearLevel);
}

float4 shadeVideo(ShaderContext context)
{
	float2 resolution = max(context.outputResolution, float2(1.0, 1.0));
	float2 uv = saturate(context.uv);
	float2 centered = uv - 0.5;
	float feather = 1.5 / min(resolution.x, resolution.y);

	int count = int(clamp(round(patchCount), 2.0, 21.0));
	float2 chartHalfSize = vertical
		? float2(0.18, 0.46) * chartScale
		: float2(0.46, 0.18) * chartScale;
	float chartMask = boxMask(centered, chartHalfSize, feather);
	float borderMask = chartMask - boxMask(centered, max(chartHalfSize - float2(feather * 3.0, feather * 3.0), float2(0.0, 0.0)), feather);

	float axis = vertical ? centered.y : centered.x;
	float crossAxis = vertical ? centered.x : centered.y;
	float axisHalfSize = vertical ? chartHalfSize.y : chartHalfSize.x;
	float crossHalfSize = vertical ? chartHalfSize.x : chartHalfSize.y;
	float normalizedAxis = (axis + axisHalfSize) / max(axisHalfSize * 2.0, 0.0001);
	float patchPosition = clamp(normalizedAxis, 0.0, 0.999999) * float(count);
	int patchIndex = int(floor(patchPosition));
	if (reverseOrder)
		patchIndex = count - 1 - patchIndex;

	// Build each patch as a slot along the main axis, then mask the cross-axis
	// extents so vertical and horizontal charts share the same logic.
	float patchSlotCenter = (floor(patchPosition) + 0.5) / float(count);
	float localAxis = abs(normalizedAxis - patchSlotCenter) * float(count) * 2.0;
	float safeGapSize = saturate(gapSize);
	float axisMask = 1.0 - smoothstep(1.0 - safeGapSize, 1.0 - safeGapSize + feather * float(count) * 2.0, localAxis);
	float crossMask = 1.0 - smoothstep(crossHalfSize, crossHalfSize + feather, abs(crossAxis));
	float insideAxis = step(0.0, normalizedAxis) * step(normalizedAxis, 1.0);
	float patchMask = axisMask * crossMask * insideAxis;

	float level = patchBrightness(patchIndex, count);
	float chartBackground = saturate(backgroundLevel) * chartMask;
	float border = saturate(borderLevel) * borderMask;
	float grayscale = max(max(chartBackground, border), level * patchMask);

	float4 chartColor = float4(grayscale, grayscale, grayscale, 1.0);
	return saturate(lerp(chartColor, context.sourceColor, sourceMix));
}