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gnowebarchive RPC

gno.land/p/g1wx60nkcp5lfsxmedeg7sfs47tzxkath05u63t4/art3d

Package
Open in gnoweb ↗

Overview

Kind
Pure package
Name
art3d
Namespace
g1wx60nkcp5lfsxmedeg7sfs47tzxkath05u63t4
Files
2 (gnomod.toml)
Exported functions
n/a — not supported for pure packages by the node (vm/qfuncs)
Module
gno.land/p/g1wx60nkcp5lfsxmedeg7sfs47tzxkath05u63t4/art3d
gno
0.9

Files (2)

  • gnomod.tomltoml
  • art.gnogno
art.gnogno
1package art3d23import (4	"crypto/sha256"5	"math"6	"strings"78	"gno.land/p/nt/ufmt/v0"9)1011const (12	canvasW, canvasH = 170.0, 170.013	subjX, subjY     = 85.0, 78.014)1516func itoa(v int64) string {17	if v == 0 {18		return "0"19	}20	neg := v < 021	if neg {22		v = -v23	}24	var b [20]byte25	i := len(b)26	for v > 0 {27		i--28		b[i] = byte('0' + v%10)29		v /= 1030	}31	if neg {32		i--33		b[i] = '-'34	}35	return string(b[i:])36}3738func fnum(v float64) string { return cnum(v) }3940func fnumPad(v float64) string {41	neg := v < 042	if neg {43		v = -v44	}45	scaled := int64(v*100 + 0.5)46	whole := scaled / 10047	frac := scaled % 10048	fracStr := itoa(frac)49	if frac < 10 {50		fracStr = "0" + fracStr51	}52	s := itoa(whole) + "." + fracStr53	if neg {54		return "-" + s55	}56	return s57}5859func cnum(v float64) string {60	s := fnumPad(v)61	if strings.Contains(s, ".") {62		s = strings.TrimRight(strings.TrimRight(s, "0"), ".")63	}64	if strings.HasPrefix(s, "0.") {65		s = s[1:]66	} else if strings.HasPrefix(s, "-0.") {67		s = "-" + s[2:]68	}69	return s70}7172func fnum1(v float64) string {73	neg := v < 074	if neg {75		v = -v76	}77	scaled := int64(v*10 + 0.5)78	s := itoa(scaled/10) + "." + itoa(scaled%10)79	if neg {80		return "-" + s81	}82	return s83}8485func pctnum(v float64) string { return fnum(v) }8687func hexToRGB(hex string) (int, int, int) {88	h := hex89	if len(h) > 0 && h[0] == '#' {90		h = h[1:]91	}92	r := hexByte(h[0:2])93	g := hexByte(h[2:4])94	b := hexByte(h[4:6])95	return r, g, b96}9798func hexByte(s string) int {99	v := 0100	for i := 0; i < len(s); i++ {101		c := s[i]102		var d int103		switch {104		case c >= '0' && c <= '9':105			d = int(c - '0')106		case c >= 'a' && c <= 'f':107			d = int(c-'a') + 10108		case c >= 'A' && c <= 'F':109			d = int(c-'A') + 10110		}111		v = v*16 + d112	}113	return v114}115116func rgbToHex(r, g, b int) string {117	return "#" + hexDigit2(r) + hexDigit2(g) + hexDigit2(b)118}119120func hexDigit2(v int) string {121	if v < 0 {122		v = 0123	}124	if v > 255 {125		v = 255126	}127	const digits = "0123456789abcdef"128	return string(digits[v/16]) + string(digits[v%16])129}130131func clampByte(v float64) int {132	iv := int(v)133	if iv < 0 {134		return 0135	}136	if iv > 255 {137		return 255138	}139	return iv140}141142func lighten(hex string, amt float64) string {143	r, g, b := hexToRGB(hex)144	nr := clampByte(float64(r) + (255-float64(r))*amt)145	ng := clampByte(float64(g) + (255-float64(g))*amt)146	nb := clampByte(float64(b) + (255-float64(b))*amt)147	return rgbToHex(nr, ng, nb)148}149150func mixHex(hex, target string, amt float64) string {151	r1, g1, b1 := hexToRGB(hex)152	r2, g2, b2 := hexToRGB(target)153	nr := clampByte(float64(r1) + float64(r2-r1)*amt)154	ng := clampByte(float64(g1) + float64(g2-g1)*amt)155	nb := clampByte(float64(b1) + float64(b2-b1)*amt)156	return rgbToHex(nr, ng, nb)157}158159func hueRotate(hex string, deg float64) string {160	c, sn := math.Cos(deg*math.Pi/180), math.Sin(deg*math.Pi/180)161	r, g, b := hexToRGB(hex)162	fr, fg, fb := float64(r), float64(g), float64(b)163	nr := (0.213+c*0.787-sn*0.213)*fr + (0.715-c*0.715-sn*0.715)*fg + (0.072-c*0.072+sn*0.928)*fb164	ng := (0.213-c*0.213+sn*0.143)*fr + (0.715+c*0.285+sn*0.140)*fg + (0.072-c*0.072-sn*0.283)*fb165	nb := (0.213-c*0.213-sn*0.787)*fr + (0.715-c*0.715+sn*0.715)*fg + (0.072+c*0.928+sn*0.072)*fb166	return rgbToHex(clampByte(nr), clampByte(ng), clampByte(nb))167}168169func shadeSeries(hex string, n int, lo, hi float64) []string {170	r, g, b := hexToRGB(hex)171	out := make([]string, n)172	for i := 0; i < n; i++ {173		t := lo174		if n > 1 {175			t = lo + (hi-lo)*float64(i)/float64(n-1)176		}177		out[i] = rgbToHex(clampByte(float64(r)*t), clampByte(float64(g)*t), clampByte(float64(b)*t))178	}179	return out180}181182type prng struct {183	seed string184	n    int185}186187func newPRNG(seed string) *prng { return &prng{seed: seed} }188189func (p *prng) next() uint64 {190	p.n++191	material := p.seed + ":" + itoa(int64(p.n)) // same bytes as "%s:%d"192	sum := sha256.Sum256([]byte(material))193	var v uint64194	for i := 0; i < 8; i++ {195		v = v<<8 | uint64(sum[i])196	}197	return v198}199200func (p *prng) floatIn(lo, hi float64) float64 {201	frac := float64(p.next()%1000000) / 1000000.0202	return lo + frac*(hi-lo)203}204205func (p *prng) intn(n int) int {206	if n <= 1 {207		return 0208	}209	return int(p.next() % uint64(n))210}211212type pt struct{ x, y float64 }213214func polyPath(pts []pt) string {215	s := "M"216	for i, p := range pts {217		if i > 0 {218			s += " L"219		}220		s += fnum(p.x) + "," + fnum(p.y)221	}222	return s + " Z"223}224225func polygonPoints(pts []pt) string {226	s := ""227	for i, p := range pts {228		if i > 0 {229			s += " "230		}231		s += fnum(p.x) + "," + fnum(p.y)232	}233	return s234}235236type gstop struct {237	pct   float64238	color string239	op    float64240}241242type gramp struct {243	x1, y1, x2, y2 float64244	stops          []gstop245}246247func (g gramp) sample(px, py float64) (string, float64) {248	dx, dy := g.x2-g.x1, g.y2-g.y1249	t := ((px-g.x1)*dx + (py-g.y1)*dy) / (dx*dx + dy*dy) * 100250	if t < 0 {251		t = 0252	}253	if t > 100 {254		t = 100255	}256	for i := 1; i < len(g.stops); i++ {257		if t <= g.stops[i].pct {258			a, b := g.stops[i-1], g.stops[i]259			f := (t - a.pct) / (b.pct - a.pct)260			return mixHex(a.color, b.color, f), a.op + (b.op-a.op)*f261		}262	}263	last := g.stops[len(g.stops)-1]264	return last.color, last.op265}266267func centroid(poly []pt) (float64, float64) {268	cx, cy := 0.0, 0.0269	for _, p := range poly {270		cx += p.x271		cy += p.y272	}273	return cx / float64(len(poly)), cy / float64(len(poly))274}275276type facetStyle struct {277	flash    gramp278	ringCent []pt279	prof     fireProfile280	zone     *prng // per-facet hue drift and shade jitter, seeded per token281	stone    string // which crystal habit a Raw Crystal takes282	thumb bool283}284285type fireProfile struct {286	sat, hit  float64287	pinpoints int288	shadow    string289	bodyMix   float64290	neutral   string291}292293func fireProfileFor(stone, colorName string) fireProfile {294	if stone == "Diamond" {295		switch colorName {296		case "Colorless":297			return fireProfile{1.0, 0.85, 5, "#0d1222", 0.12, "#f4f7fc"}298		case "Black":299			return fireProfile{0.15, 0.35, 1, "#000000", 0, ""}300		}301		return fireProfile{0.95, 0.7, 4, "#0b0d18", 0, ""}302	}303	if stone == "Quartz" {304		if colorName == "Rock Crystal" {305			return fireProfile{0.4, 0.6, 3, "#141a2c", 0.25, "#e8edf4"}306		}307		return fireProfile{0.35, 0.5, 3, "#000000", 0, ""}308	}309	if colorName == "Colorless" {310		return fireProfile{1.0, 0.7, 4, "#141a2c", 0.55, "#dfe4ee"}311	}312	if colorName == "White" {313		return fireProfile{0.85, 0.6, 3, "#7d86a0", 0, ""}314	}315	if colorName == "Crystal" {316		return fireProfile{1.0, 0.78, 4, "#141a2c", 0.3, "#e4e9f2"}317	}318	if stone == "Topaz" {319		return fireProfile{0.5, 0.5, 3, "#000000", 0, ""}320	}321	return fireProfile{0.7, 0.5, 3, "#000000", 0, ""}322}323324const fireZoneDeg = 7.0325326type rgbI struct{ r, g, b int }327328func toRGBI(hex string) rgbI { r, g, b := hexToRGB(hex); return rgbI{r, g, b} }329330func (c rgbI) hex() string { return rgbToHex(c.r, c.g, c.b) }331332func mixI(a, b rgbI, amt float64) rgbI {333	return rgbI{334		clampByte(float64(a.r) + float64(b.r-a.r)*amt),335		clampByte(float64(a.g) + float64(b.g-a.g)*amt),336		clampByte(float64(a.b) + float64(b.b-a.b)*amt),337	}338}339340func hueRotateI(x rgbI, deg float64) rgbI {341	c, sn := math.Cos(deg*math.Pi/180), math.Sin(deg*math.Pi/180)342	fr, fg, fb := float64(x.r), float64(x.g), float64(x.b)343	nr := (0.213+c*0.787-sn*0.213)*fr + (0.715-c*0.715-sn*0.715)*fg + (0.072-c*0.072+sn*0.928)*fb344	ng := (0.213-c*0.213+sn*0.143)*fr + (0.715+c*0.285+sn*0.140)*fg + (0.072-c*0.072-sn*0.283)*fb345	nb := (0.213-c*0.213-sn*0.787)*fr + (0.715-c*0.715+sn*0.715)*fg + (0.072+c*0.928+sn*0.072)*fb346	return rgbI{clampByte(nr), clampByte(ng), clampByte(nb)}347}348349func hex3I(x rgbI) string {350	d := "0123456789abcdef"351	q := func(v int) byte { return d[(v+8)*15/255%16] }352	return "#" + string([]byte{q(x.r), q(x.g), q(x.b)})353}354355var whiteI = rgbI{255, 255, 255}356357func darken(hex, shadow string, amt float64) string {358	if amt > 0.95 {359		amt = 0.95360	}361	return mixHex(hex, shadow, amt)362}363364const prismFlash = true365366func flashRamp(ext, sat float64) gramp {367	r := gramp{x1: subjX - ext, y1: subjY - ext, x2: subjX + ext, y2: subjY + ext}368	if !prismFlash {369		r.stops = []gstop{{0, "#ffffff", 1}, {100, "#ffffff", 0.25}}370		return r371	}372	r.stops = []gstop{373		{0, "#ffffff", 1}, {14, "#ff4040", 0.95}, {28, "#ff9a1f", 0.95}, {42, "#ffe81f", 0.9},374		{56, "#35ff7a", 0.85}, {70, "#22ccff", 0.8}, {84, "#5566ff", 0.75}, {100, "#c04dff", 0.7},375	}376	for i := range r.stops {377		r.stops[i].color = mixHex(r.stops[i].color, "#ffffff", 1-sat)378	}379	return r380}381382type v3 struct{ x, y, z float64 }383384func vsub(a, b v3) v3       { return v3{a.x - b.x, a.y - b.y, a.z - b.z} }385func vdot(a, b v3) float64  { return a.x*b.x + a.y*b.y + a.z*b.z }386func vcross(a, b v3) v3     { return v3{a.y*b.z - a.z*b.y, a.z*b.x - a.x*b.z, a.x*b.y - a.y*b.x} }387func vscale(a v3, k float64) v3 { return v3{a.x * k, a.y * k, a.z * k} }388func vnorm(a v3) v3 {389	l := math.Sqrt(vdot(a, a))390	if l == 0 {391		return a392	}393	return v3{a.x / l, a.y / l, a.z / l}394}395396func sgnPow(v, e float64) float64 {397	if v < 0 {398		return -math.Pow(-v, e)399	}400	return math.Pow(v, e)401}402403type outlineFn func(t float64) (float64, float64)404405func circleOutline(t float64) (float64, float64) {406	a := 2 * math.Pi * t407	return math.Cos(a), math.Sin(a)408}409410func superOutline(p float64) outlineFn {411	return func(t float64) (float64, float64) {412		a := 2 * math.Pi * t413		return sgnPow(math.Cos(a), 2/p), sgnPow(math.Sin(a), 2/p)414	}415}416417func polyOutline(vs []pt) outlineFn {418	return func(t float64) (float64, float64) {419		n := len(vs)420		f := t * float64(n)421		k := int(math.Floor(f))422		fr := f - float64(k)423		a := vs[((k%n)+n)%n]424		b := vs[(((k+1)%n)+n)%n]425		return a.x + (b.x-a.x)*fr, a.y + (b.y-a.y)*fr426	}427}428429func octagon(hw, hh, c float64) []pt {430	return []pt{431		{hw - c, hh}, {-hw + c, hh}, {-hw, hh - c}, {-hw, -hh + c},432		{-hw + c, -hh}, {hw - c, -hh}, {hw, -hh + c}, {hw, hh - c},433	}434}435436func pearOutline(t float64) (float64, float64) {437	a := 2 * math.Pi * t438	c := math.Cos(a)439	return c*0.92 + 0.08, 0.7 * math.Sin(a) * (1 - 0.46*c)440}441442func marquiseOutline(t float64) (float64, float64) {443	a := 2 * math.Pi * t444	return math.Cos(a), 0.52 * sgnPow(math.Sin(a), 1.35)445}446447func heartOutline(t float64) (float64, float64) {448	a := 2 * math.Pi * t449	sn := math.Sin(a)450	y := (13*math.Cos(a) - 4*math.Cos(2*a) - 1.4*math.Cos(3*a) - 0.5*math.Cos(4*a)) / 17451	return 0.88*sn*sn*sn + 0.12*sn, (y + 0.1576) / 0.7894452}453454func trillionOutline(t float64) (float64, float64) {455	vs := []pt{{0, 1}, {-0.866, -0.5}, {0.866, -0.5}}456	f := t * 3457	k := int(math.Floor(f))458	fr := f - float64(k)459	a, b := vs[((k%3)+3)%3], vs[(((k+1)%3)+3)%3]460	bulge := 1 + 0.16*math.Sin(math.Pi*fr)461	return (a.x + (b.x-a.x)*fr) * bulge, (a.y + (b.y-a.y)*fr) * bulge462}463464type cutSpec struct {465	n         int466	brilliant bool467	outline   outlineFn468	rx, ry    float64469}470471var ShapeNames = []string{472	"Round Brilliant", "Oval", "Cushion", "Emerald Cut", "Asscher",473	"Radiant", "Princess Cut", "Pear", "Marquise", "Trillion",474	"Heart", "Rose Cut", "Raw Crystal",475}476477const (478	shapeHeart = 10479	shapeRose  = 11480	shapeRaw   = 12481)482483const stoneScale = 0.78484485func cutFor(shapeIdx int) cutSpec {486	c := cutForUnscaled(shapeIdx)487	c.rx, c.ry = c.rx*stoneScale, c.ry*stoneScale488	return c489}490491func cutForUnscaled(shapeIdx int) cutSpec {492	switch shapeIdx {493	case 1:494		return cutSpec{8, true, circleOutline, 30, 21.5}495	case 2:496		return cutSpec{8, true, superOutline(3.4), 27, 24}497	case 3:498		return cutSpec{8, false, polyOutline(octagon(1, 1, 0.3)), 30, 21}499	case 4:500		return cutSpec{8, false, polyOutline(octagon(1, 1, 0.36)), 25, 25}501	case 5:502		return cutSpec{8, true, polyOutline(octagon(1, 1, 0.3)), 29, 22.5}503	case 6:504		return cutSpec{8, true, polyOutline([]pt{{1, 1}, {0, 1}, {-1, 1}, {-1, 0}, {-1, -1}, {0, -1}, {1, -1}, {1, 0}}), 23.5, 23.5}505	case 7:506		return cutSpec{8, true, pearOutline, 31, 27}507	case 8:508		return cutSpec{8, true, marquiseOutline, 33, 30}509	case 9:510		return cutSpec{9, true, trillionOutline, 27, 27}511	case shapeHeart:512		return cutSpec{10, true, heartOutline, 29, 28}513	case shapeRose:514		return cutSpec{6, true, circleOutline, 27, 27}515	case shapeRaw:516		return cutSpec{0, false, circleOutline, 27, 27} // sized per stone in buildRaw517	}518	return cutSpec{8, true, circleOutline, 27, 27}519}520521func CutsForStone(stone string) []int {522	switch stone {523	case "Diamond":524		return []int{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, shapeHeart, shapeRose, shapeRaw}525	case "Sapphire":526		return []int{1, 2, 0, 3, 7, shapeHeart, 8, 9, 6, shapeRose, shapeRaw}527	case "Topaz":528		return []int{3, 1, 7, 2, 8, 0, 9, shapeHeart, 6, shapeRaw}529	}530	return []int{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, shapeHeart, shapeRose, shapeRaw}531}532533const (534	kCrown = iota535	kTable536	kPav537)538539type face struct {540	p    []v3541	kind int542}543544func ringPts(c cutSpec, n int, scale, z, off float64) []v3 {545	out := make([]v3, n)546	for k := 0; k < n; k++ {547		x, y := c.outline((float64(k) + off) / float64(n))548		out[k] = v3{x * c.rx * scale, y * c.ry * scale, z}549	}550	return out551}552553func buildCut(c cutSpec) (faces []face, girdle []v3) {554	base := c.rx555	if c.ry < base {556		base = c.ry557	}558	hc, hp := 0.34*base, 0.9*base559	n := c.n560	if c.brilliant {561		T := ringPts(c, n, 0.56, hc, 0)562		B := ringPts(c, n, 0.8, hc*0.46, 0.5)563		G := ringPts(c, 2*n, 1, 0, 0)564		culet := v3{0, 0, -hp}565		faces = append(faces, face{T, kTable})566		for k := 0; k < n; k++ {567			k1 := (k + 1) % n568			faces = append(faces, face{[]v3{T[k], B[k], T[k1]}, kCrown})569			faces = append(faces, face{[]v3{T[k1], B[k], G[(2*k+2)%(2*n)], B[k1]}, kCrown})570			faces = append(faces, face{[]v3{B[k], G[2*k], G[2*k+1]}, kCrown})571			faces = append(faces, face{[]v3{B[k], G[2*k+1], G[(2*k+2)%(2*n)]}, kCrown})572			faces = append(faces, face{[]v3{G[2*k], G[2*k+1], G[(2*k+2)%(2*n)], culet}, kPav})573		}574		return faces, G575	}576	T := ringPts(c, n, 0.54, hc, 0)577	S := ringPts(c, n, 0.78, hc*0.5, 0)578	G := ringPts(c, n, 1, 0, 0)579	P1 := ringPts(c, n, 0.7, -hp*0.42, 0)580	P2 := ringPts(c, n, 0.38, -hp*0.78, 0)581	K := ringPts(c, n, 0.1, -hp, 0)582	faces = append(faces, face{T, kTable})583	rows := [][2][]v3{{T, S}, {S, G}}584	for _, r := range rows {585		for k := 0; k < n; k++ {586			k1 := (k + 1) % n587			faces = append(faces, face{[]v3{r[0][k], r[0][k1], r[1][k1], r[1][k]}, kCrown})588		}589	}590	prow := [][2][]v3{{G, P1}, {P1, P2}, {P2, K}}591	for _, r := range prow {592		for k := 0; k < n; k++ {593			k1 := (k + 1) % n594			faces = append(faces, face{[]v3{r[0][k], r[0][k1], r[1][k1], r[1][k]}, kPav})595		}596	}597	return faces, G598}599600func buildRose(c cutSpec) (faces []face, girdle []v3) {601	n := c.n602	base := math.Min(c.rx, c.ry)603	h := 0.62 * base604	apex := v3{0, 0, h}605	R := ringPts(c, n, 0.55, h*0.62, 0.5)606	G := ringPts(c, 2*n, 1, 0, 0)607	for k := 0; k < n; k++ {608		k1 := (k + 1) % n609		faces = append(faces, face{[]v3{apex, R[k], R[k1]}, kCrown})610		faces = append(faces, face{[]v3{G[2*k], G[2*k+1], R[k]}, kCrown})611		faces = append(faces, face{[]v3{G[2*k+1], G[(2*k+2)%(2*n)], R[k]}, kCrown})612		faces = append(faces, face{[]v3{R[k], G[(2*k+2)%(2*n)], R[k1]}, kCrown})613	}614	back := make([]v3, len(G))615	for i := range G {616		back[len(G)-1-i] = G[i]617	}618	faces = append(faces, face{back, kPav})619	return faces, G620}621622func ringX(n int, x, ry, rz, phase float64) []v3 {623	out := make([]v3, n)624	for k := 0; k < n; k++ {625		a := 2*math.Pi*(float64(k)+phase)/float64(n) + math.Pi/2626		out[k] = v3{x, ry * math.Cos(a), rz * math.Sin(a)}627	}628	return out629}630631func bandX(a, b []v3) []face {632	var fs []face633	for k := range a {634		k1 := (k + 1) % len(a)635		fs = append(fs, face{[]v3{a[k], a[k1], b[k1], b[k]}, kCrown})636	}637	return fs638}639640func capX(r []v3) face { return face{r, kCrown} }641642func turnFaces(fs []face, ax, az float64) []face {643	cx, sx, cz, sz := math.Cos(ax), math.Sin(ax), math.Cos(az), math.Sin(az)644	for i := range fs {645		fs[i].kind = kPav646		for j, p := range fs[i].p {647			y, z := p.y*cx-p.z*sx, p.y*sx+p.z*cx648			fs[i].p[j] = v3{p.x*cz - y*sz, p.x*sz + y*cz, z}649		}650	}651	return fs652}653654func buildRaw(stone string) (faces []face, girdle []v3) {655	deg := math.Pi / 180656	switch stone {657	case "Diamond":658		a, b, h := 25.0*stoneScale, 22.0*stoneScale, 23.0*stoneScale659		v := []v3{{a, 0, 0}, {0, b, 0}, {-a, 0, 0}, {0, -b, 0}}660		top, bot := v3{0, 0, h}, v3{0, 0, -h}661		for k := 0; k < 4; k++ {662			k1 := (k + 1) % 4663			faces = append(faces, face{[]v3{top, v[k], v[k1]}, kCrown})664			faces = append(faces, face{[]v3{bot, v[k1], v[k]}, kCrown})665		}666		return turnFaces(faces, -38*deg, 28*deg), nil667	case "Sapphire":668		L, R := 26.0*stoneScale, 16.0*stoneScale669		r0 := ringX(6, -L, R*0.42, R*0.42, 0)670		r1 := ringX(6, -L*0.3, R, R*0.94, 0)671		r2 := ringX(6, L*0.3, R, R*0.94, 0)672		r3 := ringX(6, L, R*0.42, R*0.42, 0)673		faces = append(faces, bandX(r0, r1)...)674		faces = append(faces, bandX(r1, r2)...)675		faces = append(faces, bandX(r2, r3)...)676		faces = append(faces, capX(r3))677		rev := make([]v3, 6)678		for i := range r0 {679			rev[5-i] = r0[i]680		}681		faces = append(faces, capX(rev))682		return turnFaces(faces, -30*deg, -14*deg), nil683	}684	if stone == "Quartz" {685		L, R := 27.0*stoneScale, 12.5*stoneScale686		r0 := ringX(6, -L, R*1.04, R, 0)687		r1 := ringX(6, L*0.4, R, R*0.96, 0)688		point := v3{L, 0, 0}689		faces = append(faces, bandX(r0, r1)...)690		for k := 0; k < 6; k++ {691			faces = append(faces, face{[]v3{r1[k], r1[(k+1)%6], point}, kCrown})692		}693		rev := make([]v3, 6)694		for i := range r0 {695			rev[5-i] = r0[i]696		}697		faces = append(faces, capX(rev))698		return turnFaces(faces, -32*deg, 16*deg), nil699	}700	L, ry, rz := 26.0*stoneScale, 16.0*stoneScale, 13.0*stoneScale701	r0 := ringX(8, -L, ry, rz, 0.5)702	r1 := ringX(8, L*0.5, ry, rz, 0.5)703	tip := ringX(8, L*0.82, ry*0.45, rz*0.45, 0.5)704	point := v3{L, 0, 0}705	faces = append(faces, bandX(r0, r1)...)706	faces = append(faces, bandX(r1, tip)...)707	for k := 0; k < 8; k++ {708		faces = append(faces, face{[]v3{tip[k], tip[(k+1)%8], point}, kCrown})709	}710	rev := make([]v3, 8)711	for i := range r0 {712		rev[7-i] = r0[i]713	}714	faces = append(faces, capX(rev))715	return turnFaces(faces, -30*deg, 12*deg), nil716}717718const viewTilt = 61.0719720const (721	pieceCY   = subjY + 1.5722)723724func n1(v float64) string {725	neg := v < 0726	if neg {727		v = -v728	}729	t := int64(v*10 + 0.5)730	w, f := t/10, t%10731	s := ""732	if f == 0 {733		s = itoa(w)734	} else if w == 0 {735		s = "." + string(byte('0'+f))736	} else {737		s = itoa(w) + "." + string(byte('0'+f))738	}739	if neg && t != 0 {740		return "-" + s741	}742	return s743}744745func relPath(ps []pt) string {746	s := "M" + n1(ps[0].x) + " " + n1(ps[0].y) + "l"747	px, py := math.Round(ps[0].x*10)/10, math.Round(ps[0].y*10)/10748	for i := 1; i < len(ps); i++ {749		qx, qy := math.Round(ps[i].x*10)/10, math.Round(ps[i].y*10)/10750		dx, dy := n1(qx-px), n1(qy-py)751		if i > 1 && dx[0] != '-' {752			s += " "753		}754		s += dx755		if dy[0] != '-' {756			s += " "757		}758		s += dy759		px, py = qx, qy760	}761	return s + "z"762}763764func hex3(h string) string {765	r, g, b := hexToRGB(h)766	d := "0123456789abcdef"767	q := func(v int) byte { return d[(v+8)*15/255%16] }768	return "#" + string([]byte{q(r), q(g), q(b)})769}770771func convexHull(ps []pt) []pt {772	n := len(ps)773	idx := make([]int, n)774	for i := range idx {775		idx[i] = i776	}777	less := func(a, b int) bool {778		return ps[a].x < ps[b].x || (ps[a].x == ps[b].x && ps[a].y < ps[b].y)779	}780	tmp := make([]int, n)781	for w := 1; w < n; w *= 2 {782		for lo := 0; lo < n; lo += 2 * w {783			mid, hi := lo+w, lo+2*w784			if mid > n {785				mid = n786			}787			if hi > n {788				hi = n789			}790			i, j, k := lo, mid, lo791			for i < mid && j < hi {792				if less(idx[j], idx[i]) {793					tmp[k] = idx[j]794					j++795				} else {796					tmp[k] = idx[i]797					i++798				}799				k++800			}801			for i < mid {802				tmp[k] = idx[i]803				i++804				k++805			}806			for j < hi {807				tmp[k] = idx[j]808				j++809				k++810			}811		}812		idx, tmp = tmp, idx813	}814	cr := func(o, a, b pt) float64 { return (a.x-o.x)*(b.y-o.y) - (a.y-o.y)*(b.x-o.x) }815	var h []pt816	for pass := 0; pass < 2; pass++ {817		start := len(h)818		for i := 0; i < n; i++ {819			p := ps[idx[i]]820			if pass == 1 {821				p = ps[idx[n-1-i]]822			}823			for len(h) >= start+2 && cr(h[len(h)-2], h[len(h)-1], p) <= 0 {824				h = h[:len(h)-1]825			}826			h = append(h, p)827		}828		h = h[:len(h)-1]829	}830	return h831}832833func polyArea(ps []pt) float64 {834	a := 0.0835	for i := range ps {836		j := (i + 1) % len(ps)837		a += ps[i].x*ps[j].y - ps[j].x*ps[i].y838	}839	if a < 0 {840		return -a / 2841	}842	return a / 2843}844845func clipHalf(ps []pt, ox, oy, nx, ny float64) []pt {846	if len(ps) == 0 {847		return ps848	}849	d := func(q pt) float64 { return (q.x-ox)*nx + (q.y-oy)*ny }850	var out []pt851	for i := range ps {852		a, b := ps[i], ps[(i+1)%len(ps)]853		da, db := d(a), d(b)854		if da <= 0 {855			out = append(out, a)856		}857		if (da < 0 && db > 0) || (da > 0 && db < 0) {858			t := da / (da - db)859			out = append(out, pt{a.x + (b.x-a.x)*t, a.y + (b.y-a.y)*t})860		}861	}862	return out863}864865func clipToConvex(ps, win []pt) []pt {866	for i := range win {867		a, b := win[i], win[(i+1)%len(win)]868		nx, ny := b.y-a.y, a.x-b.x869		mid := pt{(a.x + b.x) / 2, (a.y + b.y) / 2}870		cx, cy := centroid(win)871		if (mid.x-cx)*nx+(mid.y-cy)*ny < 0 {872			nx, ny = -nx, -ny873		}874		ps = clipHalf(ps, a.x, a.y, nx, ny)875		if len(ps) < 3 {876			return nil877		}878	}879	return ps880}881882func splitPoly(ps []pt, ang float64) ([]pt, []pt) {883	cx, cy := centroid(ps)884	nx, ny := math.Cos(ang), math.Sin(ang)885	return clipHalf(ps, cx, cy, nx, ny), clipHalf(ps, cx, cy, -nx, -ny)886}887888func renderSolid3D(shapeIdx int, base, salt string, fs *facetStyle) (under, facets, over string) {889	c := cutFor(shapeIdx)890	var faces []face891	var girdle []v3892	switch shapeIdx {893	case shapeRose:894		faces, girdle = buildRose(c)895	case shapeRaw:896		faces, girdle = buildRaw(fs.stone)897	default:898		faces, girdle = buildCut(c)899	}900	raw := shapeIdx == shapeRaw901902	sh := fs.prof.shadow903	if fs.prof.neutral != "" {904		base = fs.prof.neutral905	}906	base = mixHex(base, sh, fs.prof.bodyMix)907	deep := darken(base, sh, 0.9)908	bright := lighten(base, 0.5)909	fs.flash = flashRamp(28, fs.prof.sat)910	deepI, baseI, brightI := toRGBI(deep), toRGBI(base), toRGBI(bright)911	toneI := func(lum float64) rgbI {912		if lum < 0 {913			lum = 0914		}915		if lum > 1 {916			lum = 1917		}918		if lum < 0.5 {919			return mixI(deepI, baseI, lum*2)920		}921		return mixI(baseI, brightI, (lum-0.5)*2)922	}923	tone := func(lum float64) string { return toneI(lum).hex() }924925	yaw := fs.zone.floatIn(-13, 13) * math.Pi / 180926	th := viewTilt * math.Pi / 180927	cy, sy := math.Cos(yaw), math.Sin(yaw)928	ct, stt := math.Cos(th), math.Sin(th)929	view := func(p v3) v3 {930		x1, y1 := p.x*cy-p.y*sy, p.x*sy+p.y*cy931		return v3{x1, y1*ct + p.z*stt, p.z*ct - y1*stt}932	}933	ex0, ey0, ex1, ey1 := 1e9, 1e9, -1e9, -1e9934	for _, f := range faces {935		for _, p := range f.p {936			q := view(p)937			ex0, ey0 = math.Min(ex0, q.x), math.Min(ey0, q.y)938			ex1, ey1 = math.Max(ex1, q.x), math.Max(ey1, q.y)939		}940	}941	ox, oy := -(ex0+ex1)/2, -(ey0+ey1)/2942	scr := func(p v3) pt { return pt{subjX + p.x + ox, pieceCY - (p.y + oy)} }943	light := vnorm(v3{-0.5, 0.62, 0.6})944	inside := v3{0, 0, -0.25 * c.ry}945	if raw {946		inside = v3{}947	} else if shapeIdx == shapeRose {948		inside = v3{0, 0, 0.15 * c.ry}949	}950951	type drawn struct {952		pts   []pt953		depth float64954		fill  string955		kind  int956		lum   float64957		nv                v3958		jit, drift, thick float64959		ext               bool960	}961	shadeFront := func(kind int, nv, L v3, jit, drift, thick float64, ext bool) (string, float64) {962		H := vnorm(v3{L.x, L.y, L.z + 1})963		lam := math.Max(0, vdot(nv, L))964		lum := 0.03 + 0.7*math.Pow(lam, 2.1) + jit965		if ext {966			lum *= 0.3967		}968		if kind == kTable {969			lum = 0.36 + 0.26*lam970		}971		if kind == kPav {972			lum = 0.22 + 0.5*math.Max(0, vdot(vscale(nv, -1), L)) + jit973		}974		if raw {975			lum = 0.3 + 0.42*math.Pow(lam, 1.4) + 0.22*math.Max(0, vdot(vscale(nv, -1), L)) + jit*0.6976		}977		col := mixI(toneI(lum), deepI, 0.34*thick*thick)978		if sp := math.Pow(math.Max(0, vdot(nv, H)), 28); sp > 0.3 {979			col = mixI(col, whiteI, sp*0.85)980		}981		if lum > 0.5 && kind != kTable {982			amt := math.Min(1, (lum-0.5)/0.4) * dispersionMix * fs.prof.sat983			t := math.Atan2(nv.y, nv.x)/math.Pi + drift/40984			col = mixI(col, spectrumAtI(t), amt)985		}986		return hex3I(hueRotateI(col, drift)), lum987	}988	var back, front, pav []drawn989	var all []pt990	for _, f := range faces {991		vp := make([]v3, len(f.p))992		ctr := v3{}993		for i, p := range f.p {994			vp[i] = view(p)995			ctr = v3{ctr.x + p.x, ctr.y + p.y, ctr.z + p.z}996		}997		ctr = vscale(ctr, 1/float64(len(f.p)))998		nm := v3{}999		for i := range f.p {1000			a, b := f.p[i], f.p[(i+1)%len(f.p)]1001			nm = v3{nm.x + (a.y-b.y)*(a.z+b.z), nm.y + (a.z-b.z)*(a.x+b.x), nm.z + (a.x-b.x)*(a.y+b.y)}1002		}1003		nm = vnorm(nm)1004		if vdot(nm, vsub(ctr, inside)) < 0 {1005			nm = vscale(nm, -1)1006		}1007		nv := vnorm(view(nm))1008		d := drawn{kind: f.kind}1009		for _, p := range vp {1010			d.pts = append(d.pts, scr(p))1011			d.depth += p.z1012			all = append(all, scr(p))1013		}1014		d.depth /= float64(len(vp))1015		rN := math.Sqrt((ctr.x/c.rx)*(ctr.x/c.rx) + (ctr.y/c.ry)*(ctr.y/c.ry))1016		if rN > 1 {1017			rN = 11018		}1019		thick := 1 - rN1020		jit := fs.zone.floatIn(-0.13, 0.13)1021		if nv.z > 0.02 {1022			ext := f.kind == kCrown && fs.zone.floatIn(0, 1) < 0.281023			drift := fs.zone.floatIn(-fireZoneDeg, fireZoneDeg)1024			d.nv, d.jit, d.drift, d.thick, d.ext = nv, jit, drift, thick, ext1025			d.fill, d.lum = shadeFront(f.kind, nv, light, jit, drift, thick, ext)1026			front = append(front, d)1027			if f.kind == kPav {1028				pav = append(pav, d)1029			}1030		} else if f.kind == kPav {1031			inner := vscale(nv, -1)1032			lum := 0.2 + 0.6*math.Max(0, vdot(inner, light)) + jit1033			d.fill = hex3(mixHex(tone(lum), deep, 0.34*thick*thick))1034			d.lum = lum1035			back = append(back, d)1036			pav = append(pav, d)1037		}1038	}1039	sortDrawn := func(ds []drawn) {1040		for i := 1; i < len(ds); i++ {1041			for j := i; j > 0 && ds[j].depth < ds[j-1].depth; j-- {1042				ds[j], ds[j-1] = ds[j-1], ds[j]1043			}1044		}1045	}1046	sortDrawn(back)1047	sortDrawn(front)10481049	hull := convexHull(all)1050	if shapeIdx == shapeHeart {1051		hull = nil1052		for _, g := range girdle {1053			hull = append(hull, scr(view(g)))1054		}1055	}1056	var underB, facetsB strings.Builder1057	underB.WriteString(`<defs><radialGradient id="bd` + salt + `" cx=".4" cy=".35" r=".75">` +1058		`<stop offset="0" stop-color="` + hex3(base) + `"/><stop offset=".5" stop-color="` + hex3(darken(base, sh, 0.25)) + `"/><stop offset="1" stop-color="` + hex3(darken(base, sh, 0.85)) + `"/></radialGradient></defs>` +1059		`<path d="` + relPath(hull) + `" fill="url(#bd` + salt + `)" opacity=".7"/><g fill-opacity=".6">`)1060	for _, d := range back {1061		underB.WriteString(`<path d="` + relPath(d.pts) + `" fill="` + d.fill + `"/>`)1062	}1063	underB.WriteString(`</g>`)10641065	nCrown := 01066	for _, d := range front {1067		if d.kind == kCrown {1068			nCrown++1069		}1070	}1071	candP := 1.01072	if nCrown > fireMaxFacets {1073		candP = float64(fireMaxFacets) / float64(nCrown) * 1.251074	}1075	nCand := 01076	nSplit := 01077	if raw || fs.thumb {1078		candP = 01079	}1080	for _, d := range front {1081		if d.kind == kTable && shapeIdx == shapeHeart {1082			facetsB.WriteString(`<path d="` + relPath(d.pts) + `" fill="` + d.fill + `" fill-opacity=".46"/>`)1083			continue1084		}1085		if d.kind == kTable {1086			facetsB.WriteString(`<path d="` + relPath(d.pts) + `" fill="` + d.fill + `" fill-opacity=".46"/>`)1087			win := convexHull(d.pts)1088			tx, ty := centroid(win)1089			if len(pav) > 0 && !fs.thumb {1090				bx0, by0, bx1, by1 := 1e9, 1e9, -1e9, -1e91091				for _, b := range pav {1092					for _, q := range b.pts {1093						bx0, by0 = math.Min(bx0, q.x), math.Min(by0, q.y)1094						bx1, by1 = math.Max(bx1, q.x), math.Max(by1, q.y)1095					}1096				}1097				wx0, wy0, wx1, wy1 := 1e9, 1e9, -1e9, -1e91098				for _, q := range win {1099					wx0, wy0 = math.Min(wx0, q.x), math.Min(wy0, q.y)1100					wx1, wy1 = math.Max(wx1, q.x), math.Max(wy1, q.y)1101				}1102				k := 0.92 * math.Min((wx1-wx0)/math.Max(1, bx1-bx0), (wy1-wy0)/math.Max(1, by1-by0))1103				bx, by := (bx0+bx1)/2, (by0+by1)/21104				var mosB strings.Builder1105				nRefl := 01106				for _, b := range pav {1107					if nRefl >= 8 {1108						break1109					}1110					mp := make([]pt, len(b.pts))1111					for i, q := range b.pts {1112						mp[i] = pt{tx + (q.x-bx)*k, ty - (q.y-by)*k}1113					}1114					cl := clipToConvex(mp, win)1115					if len(cl) < 3 || polyArea(cl) < 4 {1116						continue1117					}1118					nRefl++1119					mosB.WriteString(`<path d="` + relPath(cl) + `" fill="` + hex3(tone(b.lum*0.95)) + `"/>`)1120				}1121				if mosB.Len() > 0 {1122					facetsB.WriteString(`<g fill-opacity=".55">` + mosB.String() + `</g>`)1123				}1124			}1125			continue1126		}1127		if d.kind == kCrown && nCand < fireMaxFacets && fs.zone.floatIn(0, 1) < candP {1128			nCand++1129			cx, cyy := centroid(d.pts)1130			fs.ringCent = append(fs.ringCent, pt{cx, cyy})1131			facetsB.WriteString(`<path d="` + relPath(d.pts) + `" fill="` + d.fill + `" class="f"/>`)1132			continue1133		}1134		if !raw && nSplit < 6 && polyArea(d.pts) > 26 && fs.zone.floatIn(0, 1) < 0.5 {1135			a, b := splitPoly(d.pts, fs.zone.floatIn(0, math.Pi))1136			if len(a) >= 3 && len(b) >= 3 {1137				nSplit++1138				lo := hex3(mixHex(tone(math.Max(0, d.lum*0.6-0.04)), deep, 0.18))1139				hi := hex3(tone(math.Min(1, d.lum*1.35+0.06)))1140				facetsB.WriteString(`<path d="` + relPath(a) + `" fill="` + hi + `"/><path d="` + relPath(b) + `" fill="` + lo + `"/>`)1141				continue1142			}1143		}1144		facetsB.WriteString(`<path d="` + relPath(d.pts) + `" fill="` + d.fill + `"/>`)1145	}11461147	_, _, _, _, rotDeg := motionPhases(salt)1148	type cand struct {1149		i     int1150		fill  string1151		delta float641152	}1153	for si, sgn := range []float64{1, -1} {1154		if fs.thumb {1155			break1156		}1157		a := -sgn * rotDeg * lightSwing * math.Pi / 1801158		ca, sa := math.Cos(a), math.Sin(a)1159		L := vnorm(v3{light.x*ca - light.y*sa, light.x*sa + light.y*ca, light.z})1160		var cs []cand1161		for i, d := range front {1162			if d.kind == kTable {1163				continue1164			}1165			f2, _ := shadeFront(d.kind, d.nv, L, d.jit, d.drift, d.thick, d.ext)1166			if dl := lumaDelta(f2, d.fill); dl > 0.06 && polyArea(d.pts) > 3 {1167				cs = append(cs, cand{i, f2, dl})1168			}1169		}1170		for i := 1; i < len(cs); i++ {1171			for j := i; j > 0 && cs[j].delta > cs[j-1].delta; j-- {1172				cs[j], cs[j-1] = cs[j-1], cs[j]1173			}1174		}1175		if len(cs) > lightMaxFacets {1176			cs = cs[:lightMaxFacets]1177		}1178		if len(cs) == 0 {1179			continue1180		}1181		cls := "gt-la"1182		if si == 1 {1183			cls = "gt-lb"1184		}1185		facetsB.WriteString(`<g class="` + cls + `" opacity="0">`)1186		for _, c := range cs {1187			facetsB.WriteString(`<path d="` + relPath(front[c.i].pts) + `" fill="` + c.fill + `"/>`)1188		}1189		facetsB.WriteString(`</g>`)1190	}11911192	gd, lastG := "", ""1193	for i := range girdle {1194		a, b := view(girdle[i]), view(girdle[(i+1)%len(girdle)])1195		mid := vscale(v3{girdle[i].x + girdle[(i+1)%len(girdle)].x, girdle[i].y + girdle[(i+1)%len(girdle)].y, 0}, 0.5)1196		if view(vnorm(mid)).z-0 > -0.05 && view(mid).z >= view(v3{}).z-0.01 {1197			pa, pb := scr(a), scr(b)1198			sa := n1(pa.x) + " " + n1(pa.y)1199			if sa != lastG {1200				gd += "M" + sa1201			}1202			lastG = n1(pb.x) + " " + n1(pb.y)1203			gd += " " + lastG1204		}1205	}1206	over = `<path d="` + gd + `" fill="none" stroke="` + hex3(lighten(base, 0.18)) + `" stroke-width=".7" stroke-linecap="round" opacity=".4"/>`1207	return underB.String(), facetsB.String(), over1208}12091210const dispersionMix = 0.3212111212var spectrum = []string{"#ff4040", "#ff9a1f", "#ffe81f", "#35ff7a", "#22ccff", "#5566ff", "#c04dff"}12131214var spectrumI = func() []rgbI {1215	out := make([]rgbI, len(spectrum))1216	for i, h := range spectrum {1217		out[i] = toRGBI(h)1218	}1219	return out1220}()12211222func spectrumAtI(t float64) rgbI {1223	t = t - math.Floor(t)1224	f := t * float64(len(spectrumI))1225	i := int(f)1226	return mixI(spectrumI[i%len(spectrumI)], spectrumI[(i+1)%len(spectrumI)], f-float64(i))1227}12281229func spectrumAt(t float64) string {1230	t = t - math.Floor(t)1231	f := t * float64(len(spectrum))1232	i := int(f)1233	return mixHex(spectrum[i%len(spectrum)], spectrum[(i+1)%len(spectrum)], f-float64(i))1234}12351236const (1237	lightSwing     = 2.21238	lightMaxFacets = 121239)12401241func lumaDelta(a, b string) float64 {1242	wide := func(h string) string {1243		if len(h) == 4 {1244			return "#" + h[1:2] + h[1:2] + h[2:3] + h[2:3] + h[3:4] + h[3:4]1245		}1246		return h1247	}1248	ar, ag, ab := hexToRGB(wide(a))1249	br, bg, bb := hexToRGB(wide(b))1250	d := (0.2126*float64(ar-br) + 0.7152*float64(ag-bg) + 0.0722*float64(ab-bb)) / 2551251	if d < 0 {1252		return -d1253	}1254	return d1255}12561257const fireMaxFacets = 1212581259const starfield = true12601261func renderStars(salt string) string {1262	if !starfield {1263		return ""1264	}1265	rnd := newPRNG("stars" + salt)1266	type star struct{ x, y float64 }1267	var byLevel [4][]star1268	for i := 0; i < 36; i++ {1269		x, y := rnd.floatIn(3, canvasW-3), rnd.floatIn(3, 127)1270		k := rnd.intn(20)1271		dx, dy := x-subjX, y-subjY1272		if r := math.Sqrt(dx*dx + dy*dy); r > 43 && r < 58 {1273			continue1274		}1275		lvl := 0 // most stars are faint; a few are bright1276		switch {1277		case k >= 18:1278			lvl = 31279		case k >= 14:1280			lvl = 21281		case k >= 8:1282			lvl = 11283		}1284		byLevel[lvl] = append(byLevel[lvl], star{x, y})1285	}1286	widths := [4]string{".45", ".6", ".85", "1.15"}1287	ops := [4]string{".22", ".38", ".58", ".85"}1288	var b strings.Builder1289	b.WriteString(`<g stroke="#fff" stroke-linecap="round" fill="none">`)1290	var tw []star1291	for l := 0; l < 4; l++ {1292		if len(byLevel[l]) == 0 {1293			continue1294		}1295		d := ""1296		for i, st := range byLevel[l] {1297			if l >= 1 && l <= 2 && len(tw) < 3 && i%3 == 0 {1298				tw = append(tw, st)1299				continue1300			}1301			d += "M" + n1(st.x) + " " + n1(st.y) + "h.01"1302		}1303		if d != "" {1304			b.WriteString(`<path d="` + d + `" stroke-width="` + widths[l] + `" opacity="` + ops[l] + `"/>`)1305		}1306	}1307	for _, st := range tw {1308		dur := rnd.floatIn(5, 12)1309		b.WriteString(`<path d="M` + n1(st.x) + " " + n1(st.y) + `h.01" stroke-width=".9" opacity=".4" class="gt-tw" style="--d:` + fnum1(dur) + `s;--dl:-` + fnum1(rnd.floatIn(0, dur)) + `s"/>`)1310	}1311	b.WriteString(`</g>`)1312	return b.String()1313}13141315func pearlLusterGradient(gid, base, metal string) string {1316	r, g, b := hexToRGB(base)1317	lum := (0.2126*float64(r) + 0.7152*float64(g) + 0.0722*float64(b)) / 2551318	shadow := "#4a4038"1319	if lum < 0.4 {1320		shadow = "#000000"1321	}1322	hi := base1323	sc, ss, sw := ".6", ".32", ".16"1324	mo := ".3"1325	if lum < 0.4 {1326		mo = ".22"1327		hi = mixHex(base, "#c9d2d8", 0.28)1328		sc, ss, sw = ".34", ".16", ".07"1329	}1330	return `<radialGradient id="` + gid + `" cx=".4" cy=".36" r=".7" fx=".34" fy=".28">` +1331		`<stop offset="0" stop-color="` + hi + `"/>` +1332		`<stop offset=".4" stop-color="` + mixHex(base, shadow, 0.13) + `"/>` +1333		`<stop offset=".76" stop-color="` + mixHex(base, shadow, 0.36) + `"/>` +1334		`<stop offset=".93" stop-color="` + mixHex(base, shadow, 0.5) + `"/>` +1335		`<stop offset="1" stop-color="` + mixHex(base, shadow, 0.3) + `"/></radialGradient>` +1336		`<radialGradient id="` + gid + `o" cx=".45" cy=".44" r=".62">` +1337		`<stop offset=".3" stop-color="#fff" stop-opacity="0"/>` +1338		`<stop offset=".62" stop-color="#ffb3cf" stop-opacity=".2"/>` +1339		`<stop offset=".88" stop-color="#b3ffd6" stop-opacity=".2"/>` +1340		`<stop offset="1" stop-color="#c3d3ff" stop-opacity=".12"/></radialGradient>` +1341		`<radialGradient id="` + gid + `s" cx=".36" cy=".3" r=".4">` +1342		`<stop offset="0" stop-color="#fff" stop-opacity="` + sc + `"/>` +1343		`<stop offset=".35" stop-color="#fff" stop-opacity="` + ss + `"/>` +1344		`<stop offset=".7" stop-color="#fff" stop-opacity=".06"/>` +1345		`<stop offset="1" stop-color="#fff" stop-opacity="0"/></radialGradient>` +1346		`<radialGradient id="` + gid + `m" cx=".42" cy=".36" r=".68">` +1347		`<stop offset=".78" stop-color="` + metal + `" stop-opacity="0"/>` +1348		`<stop offset=".93" stop-color="` + metal + `" stop-opacity="` + mo + `"/>` +1349		`<stop offset="1" stop-color="` + metal + `" stop-opacity="0"/></radialGradient>` +1350		`<radialGradient id="` + gid + `w" cx=".66" cy=".73" r=".2">` +1351		`<stop offset="0" stop-color="#fff" stop-opacity="` + sw + `"/>` +1352		`<stop offset="1" stop-color="#fff" stop-opacity="0"/></radialGradient>`1353}13541355func pearlLayers(shape, gid, between string) string {1356	i := strings.Index(shape, ` fill="`)1357	if i < 0 {1358		return shape1359	}1360	cp := func(suffix string) string { return shape[:i] + ` fill="url(#` + gid + suffix + `)"/>` }1361	return shape + cp("o") + cp("m") + between + cp("w") + cp("s")1362}13631364func pearlSweepColorIntensity(base string) float64 {1365	r, g, b := hexToRGB(base)1366	lum := 0.2126*float64(r)/255 + 0.7152*float64(g)/255 + 0.0722*float64(b)/2551367	if lum < 0.4 {1368		return 0.551369	}1370	return 2.01371}13721373func pearlSweepGradient(gid, base string) string {1374	mult := pearlSweepColorIntensity(base)1375	o1, o2, o3 := fnum(0.3*mult), fnum(0.35*mult), fnum(0.3*mult)1376	return `<linearGradient id="` + gid + `" x1="0%" y1="0%" x2="100%" y2="0%">` +1377		`<stop offset="0%" stop-color="#ffffff" stop-opacity="0"/>` +1378		`<stop offset="18%" stop-color="#ffd2e6" stop-opacity="` + o1 + `"/>` +1379		`<stop offset="38%" stop-color="#cfe8ff" stop-opacity="` + o2 + `"/>` +1380		`<stop offset="58%" stop-color="#d4ffe4" stop-opacity="` + o3 + `"/>` +1381		`<stop offset="80%" stop-color="#fff0c2" stop-opacity="` + o3 + `"/>` +1382		`<stop offset="100%" stop-color="#ffffff" stop-opacity="0"/>` +1383		`</linearGradient>`1384}13851386func pearlSweepOverlay(salt, base, shapeGeom string, w, h float64) string {1387	rnd := newPRNG(salt + "-sweep")1388	const passes = 31389	total := 15.0 + rnd.floatIn(0, 9)13901391	durs := make([]float64, passes)1392	sumDur := 0.01393	for i := 0; i < passes; i++ {1394		durs[i] = 2.4 + rnd.floatIn(0, 2.2)1395		sumDur += durs[i]1396	}1397	gapTotal := total - sumDur1398	if gapTotal < float64(passes)*0.5 {1399		gapTotal = float64(passes) * 0.51400	}1401	weights := make([]float64, passes)1402	sumW := 0.01403	for i := 0; i < passes; i++ {1404		weights[i] = 0.4 + rnd.floatIn(0, 1)1405		sumW += weights[i]1406	}1407	gaps := make([]float64, passes)1408	for i := 0; i < passes; i++ {1409		gaps[i] = weights[i] / sumW * gapTotal1410	}1411	starts := make([]float64, passes)1412	t := gaps[0]1413	for i := 0; i < passes; i++ {1414		starts[i] = t1415		t += durs[i]1416		if i < passes-1 {1417			t += gaps[i+1]1418		}1419	}14201421	travel := w * 1.051422	clipID := "clp" + salt1423	gradID := "swp" + salt1424	off, on1, on2, out := fnum(-travel), fnum(-travel*0.5), fnum(travel*0.5), fnum(travel)14251426	var defs strings.Builder1427	defs.WriteString(`<defs><clipPath id="` + clipID + `">` + shapeGeom + `</clipPath>`)1428	defs.WriteString(pearlSweepGradient(gradID, base))14291430	var marks strings.Builder1431	marks.WriteString(`<g clip-path="url(#` + clipID + `)">`)1432	for i := 0; i < passes; i++ {1433		angle := fnum(rnd.floatIn(0, 360))1434		startPct := starts[i] / total * 1001435		durPct := durs[i] / total * 1001436		rampPct := durPct * 0.321437		if rampPct > 6 {1438			rampPct = 61439		}1440		p0, p1, p2, p3 := startPct, startPct+rampPct, startPct+durPct-rampPct, startPct+durPct1441		kf := "swp" + salt + "_" + ufmt.Sprintf("%d", i)14421443		closing := ""1444		if p3 < 99.999 {1445			closing = `100%{transform:translate(` + off + `px,0);opacity:0}`1446		}1447		defs.WriteString(`<style>@keyframes ` + kf + `{` +1448			`0%{transform:translate(` + off + `px,0);opacity:0}` +1449			fnum(p0) + `%{transform:translate(` + off + `px,0);opacity:0}` +1450			fnum(p1) + `%{transform:translate(` + on1 + `px,0);opacity:1}` +1451			fnum(p2) + `%{transform:translate(` + on2 + `px,0);opacity:1}` +1452			fnum(p3) + `%{transform:translate(` + out + `px,0);opacity:0}` +1453			closing +1454			`}</style>`)14551456		marks.WriteString(`<g transform="rotate(` + angle + ` ` + fnum(subjX) + ` ` + fnum(subjY) + `)">` +1457			`<rect x="` + fnum(subjX-w*1.3) + `" y="` + fnum(subjY-h*0.95) + `" width="` + fnum(w*2.6) + `" height="` + fnum(h*1.9) + `" fill="url(#` + gradID + `)" opacity="0" style="mix-blend-mode:screen;animation:` + kf + ` ` + fnum(total) + `s linear infinite"/>` +1458			`</g>`)1459	}1460	marks.WriteString(`</g>`)1461	defs.WriteString(`</defs>`)1462	return defs.String() + marks.String()1463}14641465func pearlRound(base, metal, salt string) string {1466	gid := "prl" + salt1467	r := 24.0 * stoneScale1468	body := `<circle cx="` + fnum(subjX) + `" cy="` + fnum(subjY) + `" r="` + fnum(r) + `" fill="url(#` + gid + `)"/>`1469	clipGeom := `<circle cx="` + fnum(subjX) + `" cy="` + fnum(subjY) + `" r="` + fnum(r) + `"/>`1470	sweep := pearlSweepOverlay(salt, base, clipGeom, r*2, r*2)1471	return `<defs>` + pearlLusterGradient(gid, base, metal) + `</defs>` + pearlLayers(body, gid, "") + sweep1472}14731474func pearlOval(base, metal, salt string) string {1475	gid := "prl" + salt1476	rx, ry := 18.0*stoneScale, 25.0*stoneScale1477	body := `<ellipse cx="` + fnum(subjX) + `" cy="` + fnum(subjY) + `" rx="` + fnum(rx) + `" ry="` + fnum(ry) + `" fill="url(#` + gid + `)"/>`1478	clipGeom := `<ellipse cx="` + fnum(subjX) + `" cy="` + fnum(subjY) + `" rx="` + fnum(rx) + `" ry="` + fnum(ry) + `"/>`1479	sweep := pearlSweepOverlay(salt, base, clipGeom, rx*2, ry*2)1480	return `<defs>` + pearlLusterGradient(gid, base, metal) + `</defs>` + pearlLayers(body, gid, "") + sweep1481}14821483func pearlButton(base, metal, salt string) string {1484	gid := "prl" + salt1485	rx, ry := 25.0*stoneScale, 18.0*stoneScale1486	body := `<ellipse cx="` + fnum(subjX) + `" cy="` + fnum(subjY) + `" rx="` + fnum(rx) + `" ry="` + fnum(ry) + `" fill="url(#` + gid + `)"/>`1487	clipGeom := `<ellipse cx="` + fnum(subjX) + `" cy="` + fnum(subjY) + `" rx="` + fnum(rx) + `" ry="` + fnum(ry) + `"/>`1488	sweep := pearlSweepOverlay(salt, base, clipGeom, rx*2, ry*2)1489	return `<defs>` + pearlLusterGradient(gid, base, metal) + `</defs>` + pearlLayers(body, gid, "") + sweep1490}14911492func pearlDrop(base, metal, salt string) string {1493	gid := "prl" + salt1494	w, h := 32.0*stoneScale, 42.0*stoneScale1495	path := `M ` + fnum(subjX) + ` ` + fnum(subjY-h*0.55) +1496		` C ` + fnum(subjX+w*0.55) + ` ` + fnum(subjY-h*0.15) + ` ` + fnum(subjX+w*0.42) + ` ` + fnum(subjY+h*0.42) + ` ` + fnum(subjX) + ` ` + fnum(subjY+h*0.48) +1497		` C ` + fnum(subjX-w*0.42) + ` ` + fnum(subjY+h*0.42) + ` ` + fnum(subjX-w*0.55) + ` ` + fnum(subjY-h*0.15) + ` ` + fnum(subjX) + ` ` + fnum(subjY-h*0.55) + ` Z`1498	body := `<path d="` + path + `" fill="url(#` + gid + `)"/>`1499	clipGeom := `<path d="` + path + `"/>`1500	sweep := pearlSweepOverlay(salt, base, clipGeom, w*1.6, h*0.9)1501	return `<defs>` + pearlLusterGradient(gid, base, metal) + `</defs>` + pearlLayers(body, gid, "") + sweep1502}15031504func pearlBaroqueOutline(seed string) []pt {1505	rnd := newPRNG(seed)1506	n := 101507	pts := make([]pt, n)1508	for k := 0; k < n; k++ {1509		a := 2 * math.Pi * float64(k) / float64(n)1510		rr := 21.0 * stoneScale * (0.75 + 0.4*rnd.floatIn(0, 1))1511		pts[k] = pt{subjX + rr*math.Cos(a)*1.1, subjY + rr*math.Sin(a)*0.9}1512	}1513	return pts1514}15151516func pearlBaroqueSmoothPath(pts []pt) string {1517	n := len(pts)1518	mid := func(a, b pt) pt { return pt{(a.x + b.x) / 2, (a.y + b.y) / 2} }1519	start := mid(pts[n-1], pts[0])1520	path := "M " + fnum(start.x) + " " + fnum(start.y)1521	for k := 0; k < n; k++ {1522		next := pts[(k+1)%n]1523		m := mid(pts[k], next)1524		path += " Q " + fnum(pts[k].x) + " " + fnum(pts[k].y) + " " + fnum(m.x) + " " + fnum(m.y)1525	}1526	return path + " Z"1527}15281529func pearlBaroque(base, metal, salt string) string {1530	gid := "prl" + salt1531	pathD := pearlBaroqueSmoothPath(pearlBaroqueOutline("baroque" + salt))1532	body := `<path d="` + pathD + `" fill="url(#` + gid + `)"/>`1533	clipGeom := `<path d="` + pathD + `"/>`1534	sweep := pearlSweepOverlay(salt, base, clipGeom, 40*stoneScale, 30*stoneScale)1535	return `<defs>` + pearlLusterGradient(gid, base, metal) + `</defs>` + pearlLayers(body, gid, "") + sweep1536}15371538func pearlCircled(base, metal, salt string) string {1539	gid := "prl" + salt1540	r := 24.0 * stoneScale1541	body := `<circle cx="` + fnum(subjX) + `" cy="` + fnum(subjY) + `" r="` + fnum(r) + `" fill="url(#` + gid + `)"/>`1542	ringTone := mixHex(base, "#000000", 0.12)1543	rings := ""1544	for _, f := range []float64{0.42, 0.58, 0.74, 0.9} {1545		rings += `<circle cx="` + fnum(subjX) + `" cy="` + fnum(subjY) + `" r="` + fnum(r*f) + `" fill="none" stroke="` + ringTone + `" stroke-width="0.9" opacity="0.35"/>`1546	}1547	clipGeom := `<circle cx="` + fnum(subjX) + `" cy="` + fnum(subjY) + `" r="` + fnum(r) + `"/>`1548	sweep := pearlSweepOverlay(salt, base, clipGeom, r*2, r*2)1549	return `<defs>` + pearlLusterGradient(gid, base, metal) + `</defs>` + pearlLayers(body, gid, rings) + sweep1550}15511552var PearlShapeNames = []string{"Round", "Oval", "Button", "Drop", "Baroque", "Circled"}15531554func renderPearlShape(shapeIdx int, base, metal, salt string) string {1555	switch shapeIdx {1556	case 0:1557		return pearlRound(base, metal, salt)1558	case 1:1559		return pearlOval(base, metal, salt)1560	case 2:1561		return pearlButton(base, metal, salt)1562	case 3:1563		return pearlDrop(base, metal, salt)1564	case 4:1565		return pearlBaroque(base, metal, salt)1566	default:1567		return pearlCircled(base, metal, salt)1568	}1569}15701571func renderRing(metalHi, metalLo, salt string) string {1572	gid := "ring" + salt1573	bright := lighten(metalHi, 0.45)1574	deep := mixHex(metalLo, "#000000", 0.45)1575	st := func(off, c string) string { return `<stop offset="` + off + `" stop-color="` + c + `"/>` }1576	defs := `<linearGradient id="` + gid + `" x2="1" y2="1">` +1577		st("0", bright) + st(".12", metalHi) + st(".26", deep) + st(".4", metalLo) + st(".52", bright) +1578		st(".64", metalHi) + st(".78", deep) + st(".9", metalLo) + st("1", bright) + `</linearGradient>`15791580	outer := `<g fill="none" transform="translate(` + cnum(subjX) + ` ` + cnum(subjY) + `)">` +1581		`<circle r="52.6" stroke="#000" stroke-width="1.6" opacity=".45"/>` +1582		`<circle r="50" stroke="url(#` + gid + `)" stroke-width="4.4"/>` +1583		`<circle r="52.3" stroke="` + deep + `" stroke-width=".7" opacity=".8"/>` +1584		`<circle r="47.7" stroke="` + deep + `" stroke-width=".6" opacity=".7"/>` +1585		`<circle r="48.5" stroke="` + lighten(metalHi, 0.35) + `" stroke-width=".5" opacity=".45"/></g>`15861587	const rOut = 46.01588	const coreHalf = 0.61589	const outwardBloom = 0.91590	glowR := rOut + outwardBloom + 31591	pct := func(v float64) float64 {1592		p := v / glowR * 1001593		if p < 0 {1594			p = 01595		}1596		if p > 100 {1597			p = 1001598		}1599		return p1600	}1601	coreColor := lighten(metalHi, 0.25)1602	donutStops := func(inwardBloom, peakOp float64, gid string) string {1603		bloomOp := peakOp * 0.351604		midOp := peakOp * 0.71605		return `<radialGradient id="` + gid + `" cx="50%" cy="50%" r="50%">` +1606			`<stop offset="0%" stop-color="` + metalHi + `" stop-opacity="0"/>` +1607			`<stop offset="` + pctnum(pct(rOut-inwardBloom-1.5)) + `%" stop-color="` + metalHi + `" stop-opacity="0"/>` +1608			`<stop offset="` + pctnum(pct(rOut-inwardBloom)) + `%" stop-color="` + metalHi + `" stop-opacity="` + fnum(bloomOp) + `"/>` +1609			`<stop offset="` + pctnum(pct(rOut-coreHalf)) + `%" stop-color="` + coreColor + `" stop-opacity="` + fnum(midOp) + `"/>` +1610			`<stop offset="` + pctnum(pct(rOut)) + `%" stop-color="` + coreColor + `" stop-opacity="` + fnum(peakOp) + `"/>` +1611			`<stop offset="` + pctnum(pct(rOut+coreHalf)) + `%" stop-color="` + coreColor + `" stop-opacity="` + fnum(midOp) + `"/>` +1612			`<stop offset="` + pctnum(pct(rOut+outwardBloom)) + `%" stop-color="` + metalHi + `" stop-opacity="` + fnum(bloomOp) + `"/>` +1613			`<stop offset="` + pctnum(pct(rOut+outwardBloom+1)) + `%" stop-color="` + metalHi + `" stop-opacity="0"/>` +1614			`<stop offset="100%" stop-color="` + metalHi + `" stop-opacity="0"/></radialGradient>`1615	}16161617	rnd := newPRNG("energy" + salt)1618	gidA, gidB := "glowA"+salt, "glowB"+salt1619	dur := rnd.floatIn(2.13, 3.2)1620	phase := rnd.floatIn(0, dur)16211622	stopsA := donutStops(2.5*2.0/3.0*0.5, 0.4, gidA)1623	stopsB := donutStops(8.0*2.0/3.0*0.5, 0.6, gidB)16241625	energy := `<defs>` + stopsA + stopsB + `</defs>` +1626		`<g>` +1627		`<circle cx="` + fnum(subjX) + `" cy="` + fnum(subjY) + `" r="` + fnum(glowR) + `" fill="url(#` + gidA + `)"/>` +1628		`<circle cx="` + fnum(subjX) + `" cy="` + fnum(subjY) + `" r="` + fnum(glowR) + `" fill="url(#` + gidB + `)" opacity="0" class="gt-glow" style="--glow-dur:` + fnum(dur) + `s;--glow-delay:-` + fnum(phase) + `s"/>` +1629		`</g>`16301631	return `<defs>` + defs + `</defs>` + outer + energy1632}16331634const (1635	motionVDur, motionHDur, motionRDur, motionSDur = 3.4, 4.66, 5.81, 6.561636	motionRotMin, motionRotMax                     = 4.0, 8.01637	motionScale                                    = 1.091638)16391640func motionPhases(salt string) (vphase, hphase, rphase, sphase, rotDeg float64) {1641	rnd := newPRNG("motion" + salt)1642	vphase = rnd.floatIn(0, motionVDur)1643	hphase = rnd.floatIn(0, motionHDur)1644	rphase = rnd.floatIn(0, motionRDur)1645	sphase = rnd.floatIn(0, motionSDur)1646	rotDeg = rnd.floatIn(motionRotMin, motionRotMax)1647	return1648}16491650func applyMotion(content, salt string) string {1651	vphase, hphase, rphase, sphase, rotDeg := motionPhases(salt)16521653	return `<g transform="translate(` + fnum(subjX) + ` ` + fnum(subjY) + `)">` +1654		`<g class="gt-v" style="--v-dur:` + fnum(motionVDur) + `s;--v-delay:-` + fnum(vphase) + `s">` +1655		`<g class="gt-h" style="--h-dur:` + fnum(motionHDur) + `s;--h-delay:-` + fnum(hphase) + `s">` +1656		`<g class="gt-r" style="--r-dur:` + fnum(motionRDur) + `s;--r-delay:-` + fnum(rphase) + `s;--rot-deg:` + fnum(rotDeg) + `deg">` +1657		`<g class="gt-s" style="--s-dur:` + fnum(motionSDur) + `s;--s-delay:-` + fnum(sphase) + `s">` +1658		`<g transform="translate(-` + fnum(subjX) + ` -` + fnum(subjY) + `)">` +1659		content + `</g></g></g></g></g></g>`1660}16611662const dotX, dotY = subjX + 50, subjY + 4216631664func renderStatusBadge(active bool) string {1665	if active {1666		return `<circle cx="` + fnum(dotX) + `" cy="` + fnum(dotY) + `" r="4" fill="#7fd88f"/>` +1667			`<g transform="translate(` + fnum(dotX) + ` ` + fnum(dotY) + `)"><circle r="4" fill="none" stroke="#7fd88f" stroke-width="1.2" class="gt-badge-pulse" opacity="0.8"/></g>`1668	}1669	return `<circle cx="` + fnum(dotX) + `" cy="` + fnum(dotY) + `" r="4" fill="#5a5f6b"/>`1670}16711672type facetSpan struct {1673	start, end int1674	ringMember bool1675}16761677func scanFacetSpans(markup string) []facetSpan {1678	var spans []facetSpan1679	i := 01680	for {1681		rel := strings.Index(markup[i:], "<")1682		if rel < 0 {1683			break1684		}1685		start := i + rel1686		relEnd := strings.Index(markup[start:], "/>")1687		if relEnd < 0 {1688			break1689		}1690		end := start + relEnd + 21691		tag := markup[start:end]1692		i = end1693		isFacetTag := strings.HasPrefix(tag, "<path") || strings.HasPrefix(tag, "<circle") || strings.HasPrefix(tag, "<polygon")1694		if !isFacetTag {1695			continue1696		}1697		spans = append(spans, facetSpan{start: start, end: end, ringMember: strings.Contains(tag, `class="f"`)})1698	}1699	return spans1700}17011702const (1703	fireSweepAxis = -35.0 * math.Pi / 1801704	fireSweepSpan = 1.6 // seconds a sweep takes to cross the stone1705)17061707func applyCascade(markup, tidStr string, fs *facetStyle) (overlay string, css string) {1708	if fs == nil || len(fs.ringCent) == 0 {1709		return "", ""1710	}1711	spans := scanFacetSpans(markup)1712	rnd := newPRNG("fire" + tidStr)1713	_, _, rphase, _, _ := motionPhases(tidStr)1714	period := 2 * motionRDur1715	axis := fireSweepAxis + rnd.floatIn(-0.3, 0.3)1716	dx, dy := math.Cos(axis), math.Sin(axis)17171718	ka, kb := "fa"+tidStr, "fb"+tidStr1719	shape := func(at float64) string {1720		return fnum1(at) + `%{opacity:0}` + fnum1(at+2) + `%{opacity:var(--o);fill:#fff}` +1721			fnum1(at+4.5) + `%{opacity:.4;fill:var(--c)}` + fnum1(at+8) + `%{opacity:0}`1722	}1723	per := fnum(period)1724	css = `.` + ka + `{animation:` + ka + ` ` + per + `s linear infinite}.` + kb + `{animation:` + kb + ` ` + per + `s linear infinite}` +1725		`@keyframes ` + ka + `{` + shape(12.5) + `100%{opacity:0}}` +1726		`@keyframes ` + kb + `{` + shape(62.5) + `100%{opacity:0}}`17271728	var out strings.Builder1729	ringIdx := -11730	for _, span := range spans {1731		if !span.ringMember {1732			continue1733		}1734		ringIdx++1735		if ringIdx >= len(fs.ringCent) {1736			break1737		}1738		c := fs.ringCent[ringIdx]1739		color, colorOp := fs.flash.sample(c.x, c.y)1740		pos := ((c.x-subjX)*dx + (c.y-pieceCY)*dy) / (30 * stoneScale)1741		name := ka1742		if rnd.floatIn(0, 1) < 0.5 {1743			name, pos = kb, -pos1744		}1745		delay := rphase - 0.25*motionRDur + period - pos*fireSweepSpan/21746		tag := markup[span.start:span.end]1747		geomEnd := strings.Index(tag, `" fill=`)1748		if geomEnd < 0 {1749			continue1750		}1751		out.WriteString(tag[:geomEnd] + `" opacity="0" class="` + name + `" style="--o:` + fnum(math.Round(rnd.floatIn(0.55, 0.9)*colorOp*10)/10) + `;--c:` + hex3(color) +1752			`;animation-delay:-` + fnum1(delay) + `s"/>`)1753	}1754	return out.String(), css1755}17561757func renderMetalLabelRect(metalHi, metalLo string, x, y, w, h, rx float64, salt string) string {1758	gid := "lg" + salt1759	bright := lighten(metalHi, 0.4)1760	deep := mixHex(metalLo, "#000000", 0.5)1761	st := func(off, c string) string { return `<stop offset="` + off + `" stop-color="` + c + `"/>` }1762	defs := `<linearGradient id="` + gid + `">` +1763		st("0", metalLo) + st(".22", metalHi) + st(".42", bright) + st(".62", metalHi) + st("1", metalLo) + `</linearGradient>`1764	rect := `<rect x="` + cnum(x) + `" y="` + cnum(y) + `" width="` + cnum(w) + `" height="` + cnum(h) + `" rx="` + cnum(rx) + `" fill="url(#` + gid + `)" stroke="` + deep + `" stroke-width=".8"/>`1765	const in_ = 0.91766	arc := ` a` + cnum(rx-in_) + ` ` + cnum(rx-in_) + ` 0 0 `1767	d := cnum(rx - in_)1768	edges := `<g fill="none" stroke-linecap="round">` +1769		`<path d="M` + cnum(x+in_) + ` ` + cnum(y+rx) + arc + `1 ` + d + ` -` + d + `H` + cnum(x+w-rx) + arc + `1 ` + d + ` ` + d + `" stroke="` + lighten(metalHi, 0.45) + `" stroke-width=".45" opacity=".4"/>` +1770		`<path d="M` + cnum(x+in_) + ` ` + cnum(y+h-rx) + arc + `0 ` + d + ` ` + d + `H` + cnum(x+w-rx) + arc + `0 ` + d + ` -` + d + `" stroke="` + deep + `" stroke-width=".5" opacity=".5"/></g>`1771	sid := "sh" + salt1772	defs += `<g id="` + sid + `"><circle cx=".15" cy=".2" r="1.6" fill="` + deep + `" opacity=".55"/>` +1773		`<circle r="1.3" fill="` + mixHex(metalLo, metalHi, 0.4) + `" stroke="` + deep + `" stroke-width=".25"/>` +1774		`<circle cx="-.4" cy="-.4" r=".75" fill="` + lighten(metalHi, 0.3) + `" opacity=".35"/></g>`1775	seed := 01776	for k := 0; k < len(salt); k++ {1777		seed += int(salt[k])1778	}1779	heads, slots := "", ""1780	n := 01781	for _, px := range []float64{x + 4.2, x + w - 4.2} {1782		for _, py := range []float64{y + 3.7, y + h - 3.7} {1783			heads += `<use href="#` + sid + `" x="` + cnum(px) + `" y="` + cnum(py) + `"/>`1784			ang := float64((seed*37+n*71)%180) * math.Pi / 1801785			dx, dy := 0.9*math.Cos(ang), 0.9*math.Sin(ang)1786			slots += `M` + cnum(px-dx) + ` ` + cnum(py-dy) + `l` + cnum(2*dx) + ` ` + cnum(2*dy)1787			n++1788		}1789	}1790	rivets := heads + `<path d="` + slots + `" stroke="` + deep + `" stroke-width=".45" stroke-linecap="round"/>`1791	return `<defs>` + defs + `</defs>` + rect + edges + rivets1792}17931794const (1795	plateFont    = `'DIN Alternate',Bahnschrift,'Roboto Condensed',sans-serif`1796	plateSize    = 8.61797	plateSpacing = 1.11798	plateMaxW    = 100.01799)18001801func renderPlateText(label, fill, metalHi string) string {1802	g := `<g font-size="` + cnum(plateSize) + `" letter-spacing="` + cnum(plateSpacing) + `" text-anchor="middle" font-family="` + plateFont + `" font-weight="700"`1803	if est := float64(len(label))*(plateSize*0.52+plateSpacing); est > plateMaxW {1804		g += ` textLength="` + cnum(plateMaxW) + `" lengthAdjust="spacingAndGlyphs"`1805	}1806	x := cnum(subjX)1807	return g + `><text x="` + x + `" y="144.9" fill="` + lighten(metalHi, 0.5) + `" opacity=".45">` + label + `</text>` +1808		`<text x="` + x + `" y="144.4" fill="` + fill + `">` + label + `</text></g>`1809}18101811func renderSerialText(tidStr, color string) string {1812	return `<text x="` + fnum(subjX) + `" y="159.5" font-size="6.5" text-anchor="middle" fill="` + color + `" font-family="ui-monospace,monospace" opacity="0.85">#` + tidStr + `</text>`1813}18141815type namedColor struct{ hex, name string }18161817var stoneByChain = map[string]string{1818	"TOPAZ-1":    "Topaz",1819	"SAPPHIRE-1": "Sapphire",1820	"PEARL-1":    "Pearl",1821	"GNOLAND-1": "Diamond",1822}18231824var stonePalettes = map[string][]namedColor{1825	"Sapphire": {1826		{"#2a5fe0", "Blue"}, {"#ff6ea4", "Pink"}, {"#ff8501", "Orange"}, {"#ffd500", "Yellow"},1827		{"#1aa88a", "Green"}, {"#a658ff", "Violet"}, {"#e6e9f8", "White"}, {"#ff8f72", "Padparadscha"},1828	},1829	"Topaz": {1830		{"#f5edd1", "Colorless"}, {"#ffa300", "Imperial"}, {"#ffd100", "Golden"},1831		{"#c96a28", "Sherry Brown"}, {"#86cdf2", "Sky Blue"}, {"#ff96ba", "Pink"},1832	},1833	"Quartz": {1834		{"#eef2f7", "Rock Crystal"}, {"#9b59d6", "Amethyst"}, {"#f2b01e", "Citrine"},1835		{"#f5b9ca", "Rose Quartz"}, {"#7d6250", "Smoky Quartz"}, {"#a9d9a2", "Prasiolite"},1836	},1837	"Diamond": {1838		{"#f3f6fc", "Colorless"}, {"#ffc400", "Fancy Yellow"}, {"#ff4f9a", "Fancy Pink"},1839		{"#1f8fff", "Fancy Blue"}, {"#14c46e", "Fancy Green"}, {"#d9a560", "Champagne"},1840		{"#b4561a", "Cognac"}, {"#2b2d34", "Black"},1841		{"#e0243a", "Red"}, {"#ff7a1a", "Orange"}, {"#9b4fd6", "Purple"},1842	},1843	"Pearl": {1844		{"#f8f6f0", "White"}, {"#f0e4c8", "Cream"}, {"#3a3a3c", "Black"}, {"#c8cdd4", "Silver"},1845		{"#d4af6a", "Gold"}, {"#f0d4dc", "Pink"}, {"#f2c9a8", "Peach"}, {"#d8cbe0", "Lavender"},1846	},1847}18481849var colorWeights = map[string][]int{1850	"Diamond": {30, 18, 5, 4, 3, 14, 12, 8, 1, 3, 2},1851	"Quartz": {25, 25, 18, 9, 18, 5},1852}18531854const defaultColorWeight = 518551856func colorWeight(stone string, idx int) int {1857	w, ok := colorWeights[stone]1858	if !ok {1859		return 11860	}1861	if idx < len(w) {1862		return w[idx]1863	}1864	return defaultColorWeight1865}18661867func PickColorIndex(stone string, roll uint64) int {1868	n := ColorPaletteSize(stone)1869	total := 01870	for i := 0; i < n; i++ {1871		total += colorWeight(stone, i)1872	}1873	r := int(roll % uint64(total))1874	for i := 0; i < n; i++ {1875		r -= colorWeight(stone, i)1876		if r < 0 {1877			return i1878		}1879	}1880	return n - 11881}18821883func ColorProbability(stone string, idx int) float64 {1884	n := ColorPaletteSize(stone)1885	total := 01886	for i := 0; i < n; i++ {1887		total += colorWeight(stone, i)1888	}1889	return float64(colorWeight(stone, idx)) / float64(total)1890}18911892func ColorRarityCSV(stone string) string {1893	n := ColorPaletteSize(stone)1894	total := 01895	for i := 0; i < n; i++ {1896		total += colorWeight(stone, i)1897	}1898	out := make([]string, n)1899	for i := 0; i < n; i++ {1900		pm := colorWeight(stone, i) * 1000 / total1901		out[i] = colorForStone(stone, i).name + ":" + ufmt.Sprintf("%d.%d", pm/10, pm%10)1902	}1903	return strings.Join(out, ";")1904}19051906func ChainAlwaysActive(chain string) bool { return chain == "GNOLAND-1" }19071908var stoneNames = []string{"Sapphire", "Topaz", "Pearl", "Diamond", "Quartz"}19091910func registerStoneName(stone string) {1911	for _, s := range stoneNames {1912		if s == stone {1913			return1914		}1915	}1916	stoneNames = append(stoneNames, stone)1917}19181919func SetStoneForChain(chainName, stone string) {1920	stoneByChain[chainName] = stone1921	registerStoneName(stone)1922}19231924func AddStoneColor(stone, hex, name string) {1925	stonePalettes[stone] = append(stonePalettes[stone], namedColor{hex: hex, name: name})1926	registerStoneName(stone)1927}19281929func StoneNamesCSV() string {1930	return strings.Join(stoneNames, ";")1931}19321933func ColorPaletteCSV(stone string) string {1934	palette := stonePalettes[stone]1935	pairs := make([]string, len(palette))1936	for i, c := range palette {1937		pairs[i] = c.hex + ":" + c.name1938	}1939	return strings.Join(pairs, ";")1940}19411942func MetalToneHex(metalName string) string {1943	t, ok := metals[metalName]1944	if !ok {1945		return ""1946	}1947	return t.hi + ";" + t.lo1948}19491950func StoneForChain(chain string) string {1951	if s, ok := stoneByChain[chain]; ok {1952		return s1953	}1954	return "Quartz"1955}19561957func colorForStone(stone string, colorIdx int) namedColor {1958	palette := stonePalettes[stone]1959	if len(palette) == 0 {1960		palette = stonePalettes["Quartz"]1961	}1962	if colorIdx < 0 {1963		colorIdx = 01964	}1965	if colorIdx >= len(palette) {1966		colorIdx = len(palette) - 11967	}1968	return palette[colorIdx]1969}19701971func ColorPaletteSize(stone string) int {1972	if n := len(stonePalettes[stone]); n > 0 {1973		return n1974	}1975	return len(stonePalettes["Quartz"])1976}19771978func FindShapeIndex(stone, name string) (idx int, ok bool) {1979	names := ShapeNames1980	if stone == "Pearl" {1981		names = PearlShapeNames1982	}1983	for i, s := range names {1984		if s == name {1985			return i, true1986		}1987	}1988	return -1, false1989}19901991func FindColorIndex(chain, colorName string) (idx int, ok bool) {1992	stone := StoneForChain(chain)1993	palette := stonePalettes[stone]1994	if len(palette) == 0 {1995		palette = stonePalettes["Quartz"]1996	}1997	for i, c := range palette {1998		if c.name == colorName {1999			return i, true2000		}2001	}2002	return -1, false2003}20042005type metalTone struct{ hi, lo string }20062007var metals = map[string]metalTone{2008	"Gold":     {"#a48b3f", "#6a5117"},2009	"Silver":   {"#95989c", "#5e646c"},2010	"Bronze":   {"#865b34", "#52391d"},2011	"Platinum": {"#c3c6c8", "#87909a"},2012	"Obsidian": {"#3a3d47", "#0d0e12"},2013}20142015var MetalNames = []string{"Gold", "Silver", "Bronze", "Platinum", "Obsidian"}20162017type metalLabelTone struct{ bg, text string }20182019var metalLabel = map[string]metalLabelTone{2020	"Gold":     {"#f4d060", "#04121a"},2021	"Silver":   {"#dfe4ea", "#04121a"},2022	"Bronze":   {"#c9884f", "#04121a"},2023	"Platinum": {"#eef2f5", "#04121a"},2024	"Obsidian": {"#5a5f6b", "#e8e9f0"},2025}20262027func RenderTokenThumbSVG(chain, metal string, shapeIdx, colorIdx int, active bool, tidStr string) string {2028	svg, _, _, _ := renderToken(chain, metal, shapeIdx, colorIdx, active, tidStr, true)2029	return svg2030}20312032func RenderTokenSVG(chain, metal string, shapeIdx, colorIdx int, active bool, tidStr string) (svg string, stone string, colorHex string, colorName string) {2033	return renderToken(chain, metal, shapeIdx, colorIdx, active, tidStr, false)2034}20352036func renderToken(chain, metal string, shapeIdx, colorIdx int, active bool, tidStr string, thumb bool) (svg string, stone string, colorHex string, colorName string) {2037	var cascadeCSS string2038	stone = StoneForChain(chain)2039	if ChainAlwaysActive(chain) {2040		active = true2041	}2042	nc := colorForStone(stone, colorIdx)2043	colorHex, colorName = nc.hex, nc.name2044	mt := metals[metal]20452046	ringEls := renderRing(mt.hi, mt.lo, tidStr)2047	var pieceMarkup string2048	if stone == "Pearl" {2049		pearl := renderPearlShape(shapeIdx, colorHex, mt.hi, tidStr)2050		overlay, css := applyCascade(pearl, tidStr, nil)2051		pieceMarkup, cascadeCSS = pearl+overlay, css2052	} else {2053		fs := &facetStyle{prof: fireProfileFor(stone, colorName), zone: newPRNG("zone" + tidStr), stone: stone, thumb: thumb}2054		under, facets, over := renderSolid3D(shapeIdx, colorHex, tidStr, fs)2055		overlay, css := applyCascade(facets, tidStr, fs)2056		cascadeCSS = css2057		pieceMarkup = under + `<g fill-opacity=".9">` + facets + `</g>` + overlay + over2058	}2059	floatingPiece := applyMotion(pieceMarkup, tidStr)2060	status := renderStatusBadge(active)2061	serial := renderSerialText(tidStr, mt.hi)2062	labelText := metalLabel[metal].text2063	labelRect := renderMetalLabelRect(mt.hi, mt.lo, 24, 134, 122, 15, 3, tidStr)20642065	inner := `<rect width="` + fnum(canvasW) + `" height="` + fnum(canvasH) + `" fill="#0a0b10"/>` +2066		renderStars(tidStr) + ringEls + floatingPiece + status + serial + labelRect +2067		renderPlateText(chain+" CHAIN", labelText, mt.hi)20682069	svg = `<svg xmlns="http://www.w3.org/2000/svg" width="` + fnum(canvasW) + `" height="` + fnum(canvasH) + `" viewBox="0 0 ` + fnum(canvasW) + ` ` + fnum(canvasH) + `">` + styleBlock() +2070		`<style>` + cascadeCSS + `</style>` + inner + `</svg>`2071	return svg, stone, colorHex, colorName2072}20732074func styleBlock() string {2075	const easeOut = "cubic-bezier(0,0,.3,1)"2076	return `<style>.gt-v,.gt-h,.gt-r,.gt-s{will-change:transform}` +20772078		`.gt-v{animation:gt-v var(--v-dur) ease-in-out var(--v-delay) infinite}` +2079		`.gt-h{animation:gt-h var(--h-dur) ease-in-out var(--h-delay) infinite}` +2080		`.gt-r{animation:gt-r var(--r-dur) ease-in-out var(--r-delay) infinite}` +2081		`.gt-s{animation:gt-s var(--s-dur) ease-in-out var(--s-delay) infinite}` +2082		`.gt-glow{animation:gt-glow var(--glow-dur) ease-in-out var(--glow-delay) infinite}` +2083		`.gt-la{animation:gt-la var(--r-dur) ease-in-out var(--r-delay) infinite}` +2084		`.gt-lb{animation:gt-lb var(--r-dur) ease-in-out var(--r-delay) infinite}` +2085		`@keyframes gt-la{0%,50%,100%{opacity:0}25%{opacity:1}}` +2086		`@keyframes gt-lb{0%,50%,100%{opacity:0}75%{opacity:1}}` +2087		`.gt-badge-pulse{animation:gt-bp 1.8s ` + easeOut + ` infinite}` +2088		`@keyframes gt-v{0%,100%{transform:translateY(2.5px)}50%{transform:translateY(-2.5px)}}` +2089		`@keyframes gt-h{50%{transform:translateX(1.8px)}}` +2090		`@keyframes gt-r{25%{transform:rotate(calc(-1*var(--rot-deg)))}75%{transform:rotate(var(--rot-deg))}}` +2091		`@keyframes gt-s{50%{transform:scale(` + fnum(motionScale) + `)}}` +2092		`.gt-tw{animation:gt-tw var(--d) ease-in-out var(--dl) infinite}@keyframes gt-tw{0%,84%,100%{opacity:.4}90%{opacity:1}94%{opacity:.2}}` +2093		`@keyframes gt-glow{50%{opacity:1}}` +2094		`@keyframes gt-bp{from{transform:scale(1);opacity:.8}to{transform:scale(2.25);opacity:0}}` +2095		`</style>`2096}2097

Functions

not supported for pure packages by the node (vm/qfuncs)

Signatures reconstructed verbatim from vm/qfuncs — interface params keep their inline definitions.