feat: expanded perlin bg. gen. randomization

- wider scale ranges for more visible pattern variations
- larger offset ranges for more unique starting points
- randomized noise weights instead of fixed 0.6/0.3/0.1 ratios
- randomized gradient strength & direction (30% chance of reverse for
  each axis)
- randomized light-to-dark effects
- multiple combination methods:
    - standard linear blend (cur.)
    - multiplicative blend (flowing, organic patterns)
    - maximum blend (sharper, more contrasted patterns)
    - turbulence (chaotic, cloud-like patterns)
- 30% chance for additional subtle sine/cosine distortion

banner.go

@@ -5,6 +5,7 @@ import (
 	"image"
 	"image/color"
 	"image/png"
+	"math"
 	"math/rand/v2"
 	"os"
 	"path/filepath"
@@ -256,36 +257,96 @@ func genPerlinBG() *image.RGBA {
 	img := image.NewRGBA(image.Rect(0, 0, config.BannerWidth, config.BannerHeight))
 
 	// noise params for interesting patterns
-	scale1 := 0.01 + rand.Float64()*0.02 // primary pattern scale (adjusted by lib)
+	scale1 := 0.005 + rand.Float64()*0.025 // primary pattern scale (adjusted by lib)
-	scale2 := 0.03 + rand.Float64()*0.03 // secondary detail
+	scale2 := 0.02 + rand.Float64()*0.04   // secondary detail
-	scale3 := 0.08 + rand.Float64()*0.05 // fine detail
+	scale3 := 0.06 + rand.Float64()*0.08   // fine detail
 
 	// variation offsets
-	offsetX := rand.Float64() * 1000
+	offsetX := rand.Float64() * 5000
-	offsetY := rand.Float64() * 1000
+	offsetY := rand.Float64() * 5000
 
-	log.Infof("Generating background with theme: %s, scales: %.4f, %.4f, %.4f", theme, scale1, scale2, scale3)
+	// noise layer weights for different effects
+	weight1 := 0.4 + rand.Float64()*0.4
+	weight2 := 0.2 + rand.Float64()*0.3
+	weight3 := 0.1 + rand.Float64()*0.2
+
+	// normalize weights to sum to 1.0
+	totalWeight := weight1 + weight2 + weight3
+	weight1 /= totalWeight
+	weight2 /= totalWeight
+	weight3 /= totalWeight
+
+	gradientStrengthX := rand.Float64() * 0.4
+	gradientStrengthY := rand.Float64() * 0.3
+	gradientDirectionX := 1.0
+	gradientDirectionY := 1.0
+
+	// sometimes reverse gradient direction for variety
+	if rand.Float64() < 0.3 {
+		gradientDirectionX = -1.0
+	}
+	if rand.Float64() < 0.3 {
+		gradientDirectionY = -1.0
+	}
+
+	// randomize noise combination method
+	combineMethod := rand.IntN(4)
+
+	useDistortion := rand.Float64() < 0.3 // 30% chance
+	distortionStrength := rand.Float64() * 0.1
+
+	log.Debugf("BG theme: %s / Scales: %.4f, %.4f, %.4f / Weights: %.3f, %.3f, %.3f",
+		theme, scale1, scale2, scale3, weight1, weight2, weight3)
+	log.Debugf("Gradient: X=%.3f*%.0f, Y=%.3f*%.0f / Combine method: %d / Distortion %t (%.3f)",
+		gradientStrengthX, gradientDirectionX, gradientStrengthY, gradientDirectionY,
+		combineMethod, useDistortion, distortionStrength)
 
 	for y := range config.BannerHeight {
 		for x := range config.BannerWidth {
-			// multi-octave noise
+			baseX := float64(x) + offsetX
-			fx := (float64(x) + offsetX) * scale1
+			baseY := float64(y) + offsetY
-			fy := (float64(y) + offsetY) * scale1
+
+			// optional distortion for more organic patterns
+			if useDistortion {
+				baseX += math.Sin(float64(y)*0.01) * distortionStrength * 100
+				baseY += math.Cos(float64(x)*0.01) * distortionStrength * 100
+			}
+
+			// multi-octave noise with randomized scales
+			fx1 := baseX * scale1
+			fy1 := baseY * scale1
+			fx2 := baseX * scale2
+			fy2 := baseY * scale2
+			fx3 := baseX * scale3
+			fy3 := baseY * scale3
 
 			// noise values at different scales
-			noise1 := perlinNoise.Noise2D(fx, fy)
+			noise1 := perlinNoise.Noise2D(fx1, fy1)
-			noise2 := perlinNoise.Noise2D(fx/scale1*scale2, fy/scale1*scale2)
+			noise2 := perlinNoise.Noise2D(fx2, fy2)
-			noise3 := perlinNoise.Noise2D(fx/scale1*scale3, fy/scale1*scale3)
+			noise3 := perlinNoise.Noise2D(fx3, fy3)
 
-			// combined noise layers with different weights
+			// different combination methods for variety
-			combined := noise1*0.6 + noise2*0.3 + noise3*0.1
+			var combined float64
+			switch combineMethod {
+			case 0: // standard linear combination
+				combined = noise1*weight1 + noise2*weight2 + noise3*weight3
+			case 1: // multiplicative blend
+				combined = (noise1*weight1)*(1+noise2*weight2)*(1+noise3*weight3) - 1
+			case 2: // maximum blend (creates sharper patterns)
+				values := []float64{noise1 * weight1, noise2 * weight2, noise3 * weight3}
+				combined = math.Max(math.Max(values[0], values[1]), values[2])
+			case 3: // turbulence (abs. values create more chaotic patterns)
+				combined = math.Abs(noise1)*weight1 + math.Abs(noise2)*weight2 + math.Abs(noise3)*weight3
+			}
 
-			// position-based gradient for a more dynamic look
+			// randomized gradient with variable direction and strength
-			gradientX := float64(x) / float64(config.BannerWidth) * 0.2
+			gradientX := (float64(x) / float64(config.BannerWidth)) * gradientStrengthX * gradientDirectionX
-			gradientY := float64(y) / float64(config.BannerHeight) * 0.1
+			gradientY := (float64(y) / float64(config.BannerHeight)) * gradientStrengthY * gradientDirectionY
 
 			// combined and normalized to [0, 1] range
 			noise := (combined + gradientX + gradientY + 1) / 2
+
+			// clamp to valid range
 			if noise < 0 {
 				noise = 0
 			}