feature/1121 implement ucan validation (#1176)

- **refactor: remove unused auth components**
- **refactor: improve devbox configuration and deployment process**
- **refactor: improve devnet and testnet setup**
- **fix: update templ version to v0.2.778**
- **refactor: rename pkl/net.matrix to pkl/matrix.net**
- **refactor: migrate webapp components to nebula**
- **refactor: protobuf types**
- **chore: update dependencies for improved security and stability**
- **feat: implement landing page and vault gateway servers**
- **refactor: Migrate data models to new module structure and update
related files**
- **feature/1121-implement-ucan-validation**
- **refactor: Replace hardcoded constants with model types in attns.go**
- **feature/1121-implement-ucan-validation**
- **chore: add origin Host struct and update main function to handle
multiple hosts**
- **build: remove unused static files from dwn module**
- **build: remove unused static files from dwn module**
- **refactor: Move DWN models to common package**
- **refactor: move models to pkg/common**
- **refactor: move vault web app assets to embed module**
- **refactor: update session middleware import path**
- **chore: configure port labels and auto-forwarding behavior**
- **feat: enhance devcontainer configuration**
- **feat: Add UCAN middleware for Echo with flexible token validation**
- **feat: add JWT middleware for UCAN authentication**
- **refactor: update package URI and versioning in PklProject files**
- **fix: correct sonr.pkl import path**
- **refactor: move JWT related code to auth package**
- **feat: introduce vault configuration retrieval and management**
- **refactor: Move vault components to gateway module and update file
paths**
- **refactor: remove Dexie and SQLite database implementations**
- **feat: enhance frontend with PWA features and WASM integration**
- **feat: add Devbox features and streamline Dockerfile**
- **chore: update dependencies to include TigerBeetle**
- **chore(deps): update go version to 1.23**
- **feat: enhance devnet setup with PATH environment variable and
updated PWA manifest**
- **fix: upgrade tigerbeetle-go dependency and remove indirect
dependency**
- **feat: add PostgreSQL support to devnet and testnet deployments**
- **refactor: rename keyshare cookie to token cookie**
- **feat: upgrade Go version to 1.23.3 and update dependencies**
- **refactor: update devnet and testnet configurations**
- **feat: add IPFS configuration for devnet**
- **I'll help you update the ipfs.config.pkl to include all the peers
from the shell script. Here's the updated configuration:**
- **refactor: move mpc package to crypto directory**
- **feat: add BIP32 support for various cryptocurrencies**
- **feat: enhance ATN.pkl with additional capabilities**
- **refactor: simplify smart account and vault attenuation creation**
- **feat: add new capabilities to the Attenuation type**
- **refactor: Rename MPC files for clarity and consistency**
- **feat: add DIDKey support for cryptographic operations**
- **feat: add devnet and testnet deployment configurations**
- **fix: correct key derivation in bip32 package**
- **refactor: rename crypto/bip32 package to crypto/accaddr**
- **fix: remove duplicate indirect dependency**
- **refactor: move vault package to root directory**
- **refactor: update routes for gateway and vault**
- **refactor: remove obsolete web configuration file**
- **refactor: remove unused TigerBeetle imports and update host
configuration**
- **refactor: adjust styles directory path**
- **feat: add broadcastTx and simulateTx functions to gateway**
- **feat: add PinVault handler**

crypto/core/curves/native/isogeny.go

@@ -0,0 +1,62 @@
+package native
+
+// IsogenyParams are the parameters needed to map from an isogeny to the main curve
+type IsogenyParams struct {
+	XNum [][FieldLimbs]uint64
+	XDen [][FieldLimbs]uint64
+	YNum [][FieldLimbs]uint64
+	YDen [][FieldLimbs]uint64
+}
+
+// Map from the isogeny curve to the main curve using the parameters
+func (p *IsogenyParams) Map(xIn, yIn *Field) (x, y *Field) {
+	var xNum, xDen, yNum, yDen, tv [FieldLimbs]uint64
+	var wasInverted int
+
+	xnumL := len(p.XNum)
+	xdenL := len(p.XDen)
+	ynumL := len(p.YNum)
+	ydenL := len(p.YDen)
+
+	degree := 0
+	for _, i := range []int{xnumL, xdenL, ynumL, ydenL} {
+		if degree < i {
+			degree = i
+		}
+	}
+
+	xs := make([][FieldLimbs]uint64, degree)
+	xs[0] = xIn.Params.R                      // x[0] = x^0
+	xs[1] = xIn.Value                         // x[1] = x^1
+	xIn.Arithmetic.Square(&xs[2], &xIn.Value) // x[2] = x^2
+	for i := 3; i < degree; i++ {
+		// x[i] = x^i
+		xIn.Arithmetic.Mul(&xs[i], &xs[i-1], &xIn.Value)
+	}
+
+	computeIsoK(&xNum, &xs, &p.XNum, xIn.Arithmetic)
+	computeIsoK(&xDen, &xs, &p.XDen, xIn.Arithmetic)
+	computeIsoK(&yNum, &xs, &p.YNum, xIn.Arithmetic)
+	computeIsoK(&yDen, &xs, &p.YDen, xIn.Arithmetic)
+
+	xIn.Arithmetic.Invert(&wasInverted, &xDen, &xDen)
+	x = new(Field).Set(xIn)
+	xIn.Arithmetic.Mul(&tv, &xNum, &xDen)
+	xIn.Arithmetic.Selectznz(&x.Value, &x.Value, &tv, wasInverted)
+
+	yIn.Arithmetic.Invert(&wasInverted, &yDen, &yDen)
+	y = new(Field).Set(yIn)
+	yIn.Arithmetic.Mul(&tv, &yNum, &yDen)
+	yIn.Arithmetic.Selectznz(&y.Value, &y.Value, &tv, wasInverted)
+	yIn.Arithmetic.Mul(&y.Value, &y.Value, &yIn.Value)
+	return
+}
+
+func computeIsoK(out *[FieldLimbs]uint64, xxs, k *[][FieldLimbs]uint64, f FieldArithmetic) {
+	var tv [FieldLimbs]uint64
+
+	for i := range *k {
+		f.Mul(&tv, &(*xxs)[i], &(*k)[i])
+		f.Add(out, out, &tv)
+	}
+}