From 2ba81c4bc81b9e4fa0d4f4c207a0b07b104d52e2 Mon Sep 17 00:00:00 2001 From: Laan Tungir Date: Mon, 27 Jul 2026 07:16:53 -0400 Subject: [PATCH] v0.1.1 - Fixed Teensy 4.1 NIP-04 crash and NIP-44 dispatch bug: reduced secp256k1 ECMULT_CONST_GROUP_SIZE 5->4 to halve ECDH stack usage (~3.5KB->~1.7KB) preventing DTCM stack overflow in secp256k1_ecmult_const during nip04/nip44 ECDH; fixed is_nip44 selector in dispatch.cpp (method[7] was always 'i', digit is at method[9]) so nostr_nip44_* verbs now reach the nip44 implementation instead of silently calling nip04; verified nip04+nip44 round-trip on hardware --- README.md | 15 + examples/cyd_webserial_demo.html | 814 +- firmware/cyd_esp32_2432s028/main/main.c | 72 +- firmware/teensy41/README.md | 75 +- firmware/teensy41/WIRING.md | 306 + firmware/teensy41/blink/blink.ino | 24 + firmware/teensy41/build_signer.sh | 79 + ...er_With Touch Function - Elecrow Wiki.html | 105 + .../ELECROW_LOGO.webp | Bin 0 -> 10008 bytes .../bundle.79ae519e.min.js | 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firmware/teensy41/signer/src/secp256k1/src/modules/schnorrsig/tests_impl.h create mode 100644 firmware/teensy41/signer/src/secp256k1/src/precomputed_ecmult.c create mode 100644 firmware/teensy41/signer/src/secp256k1/src/precomputed_ecmult.h create mode 100644 firmware/teensy41/signer/src/secp256k1/src/precomputed_ecmult_gen.c create mode 100644 firmware/teensy41/signer/src/secp256k1/src/precomputed_ecmult_gen.h create mode 100644 firmware/teensy41/signer/src/secp256k1/src/scalar.h create mode 100644 firmware/teensy41/signer/src/secp256k1/src/scalar_4x64.h create mode 100644 firmware/teensy41/signer/src/secp256k1/src/scalar_4x64_impl.h create mode 100644 firmware/teensy41/signer/src/secp256k1/src/scalar_8x32.h create mode 100644 firmware/teensy41/signer/src/secp256k1/src/scalar_8x32_impl.h create mode 100644 firmware/teensy41/signer/src/secp256k1/src/scalar_impl.h create mode 100644 firmware/teensy41/signer/src/secp256k1/src/scalar_low.h create mode 100644 firmware/teensy41/signer/src/secp256k1/src/scalar_low_impl.h create mode 100644 firmware/teensy41/signer/src/secp256k1/src/scratch.h create mode 100644 firmware/teensy41/signer/src/secp256k1/src/scratch_impl.h create mode 100644 firmware/teensy41/signer/src/secp256k1/src/secp256k1.c create mode 100644 firmware/teensy41/signer/src/secp256k1/src/secp256k1_arduino_config.h create mode 100644 firmware/teensy41/signer/src/secp256k1/src/selftest.h create mode 100644 firmware/teensy41/signer/src/secp256k1/src/testrand.h create mode 100644 firmware/teensy41/signer/src/secp256k1/src/testrand_impl.h create mode 100644 firmware/teensy41/signer/src/secp256k1/src/tests_common.h create mode 100644 firmware/teensy41/signer/src/secp256k1/src/testutil.h create mode 100644 firmware/teensy41/signer/src/secp256k1/src/unit_test.h create mode 100644 firmware/teensy41/signer/src/secp256k1/src/util.h create mode 100644 firmware/teensy41/signer/src/secp256k1/src/util_local_visibility.h create mode 100644 firmware/teensy41/signer/src/secp256k1/src/wycheproof/WYCHEPROOF_COPYING create mode 100644 firmware/teensy41/signer/src/secp256k1/src/wycheproof/ecdh_secp256k1_test.h create mode 100644 firmware/teensy41/signer/src/secp256k1/src/wycheproof/ecdh_secp256k1_test.json create mode 100644 firmware/teensy41/signer/src/secp256k1/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.h create mode 100644 firmware/teensy41/signer/src/secp256k1/src/wycheproof/ecdsa_secp256k1_sha256_bitcoin_test.json create mode 100644 firmware/teensy41/signer/src/secure_mem.cpp create mode 100644 firmware/teensy41/signer/src/secure_mem.h create mode 100644 firmware/teensy41/signer/src/transport.cpp create mode 100644 firmware/teensy41/signer/src/transport.h create mode 100644 firmware/teensy41/signer/src/ui.cpp create mode 100644 firmware/teensy41/signer/src/ui.h create mode 100644 firmware/teensy41/signer/tests/host_test_ed25519.c create mode 100644 firmware/teensy41/signer/tests/host_test_mlkem_ntt.c create mode 100644 firmware/teensy41/signer/tests/host_test_mlkem_stubs.c create mode 100644 firmware/teensy41/signer/tests/host_test_ntt.c create mode 100644 firmware/teensy41/signer/tests/host_test_ntt_stubs.c create mode 100644 firmware/teensy41/test_nip04.py create mode 100644 firmware/teensy41/test_signer.py create mode 100644 firmware/teensy41/tft_test/tft_test.ino create mode 100644 firmware/teensy41/touch_cal/touch_cal.ino create mode 100644 plans/teensy41_bringup.md create mode 100644 plans/teensy41_signer_implementation.md create mode 100644 plans/teensy41_signer_remaining_fixes.md diff --git a/README.md b/README.md index 9717e36..e5d4e25 100644 --- a/README.md +++ b/README.md @@ -198,6 +198,7 @@ All verbs take their arguments as positional `params` and their options in a tra | Verb | Algorithms | Positional params | Options | |-------------------------|-----------------------------------------------|----------------------------------|----------------------------------| +| `get_info` | n/a (metadata) | — | — | | `get_public_key` | all key-deriving algorithms | — | `algorithm`, `index` | | `sign` | secp256k1, ed25519, ml-dsa-65, slh-dsa-128s | `` | `algorithm`, `index`, `scheme`* | | `verify` | secp256k1, ed25519, ml-dsa-65, slh-dsa-128s | ``, `` | `algorithm`, `index`, `scheme`* | @@ -262,6 +263,20 @@ The `otp` algorithm is a stream-style one-time pad, not a key-derivation scheme. ### 4.5 Examples +#### `get_info` + +Returns signer metadata: `name`, `implementation`, `version`, `git_hash` (firmware only), `api`, and the supported `verbs` / `algorithms` arrays. Safe to call before the mnemonic is loaded — clients use it to feature-detect and to confirm which firmware is running on a connected device. + +```json +{ "id": "0", "method": "get_info", "params": [] } +``` + +Response (CYD firmware): + +```json +{ "id": "0", "result": { "name": "n_signer", "implementation": "cyd_esp32_2432s028", "version": "0.0.2", "git_hash": "dev", "api": "json-rpc-2.0", "verbs": ["get_info", "get_public_key", "sign", "verify", "encapsulate", "decapsulate", "derive_shared_secret", "derive", "encrypt", "decrypt", "nostr_get_public_key", "nostr_sign_event", "nostr_mine_event", "nostr_nip04_encrypt", "nostr_nip04_decrypt", "nostr_nip44_encrypt", "nostr_nip44_decrypt"], "algorithms": ["secp256k1", "ed25519", "x25519", "ml-dsa-65", "slh-dsa-128s", "ml-kem-768", "otp"] } } +``` + #### `get_public_key` ```json diff --git a/examples/cyd_webserial_demo.html b/examples/cyd_webserial_demo.html index 3bf3e2a..c20ec7a 100644 --- a/examples/cyd_webserial_demo.html +++ b/examples/cyd_webserial_demo.html @@ -4,238 +4,577 @@ n_signer CYD Web Serial Demo + -
-

n_signer CYD Web Serial Demo

-

Connect to the CYD (CH340 serial) via Web Serial, then exercise every algorithm and verb in the n_signer API. Chrome/Edge/Brave/Opera only.

+ +
+
+ +
+
n_signer CYD Web Serial
+
+
-
+
+ +
+

Connection

+

Connect to the CYD (CH340 serial) via Web Serial, then exercise every algorithm and verb in the n_signer API. Chrome/Edge/Brave/Opera only.

- - + + Disconnected
- 

+      

+    

+
+    
+    

+      
get_info (version / capabilities)

+      
No approval required. Safe to call before the mnemonic is loaded.

+      

+        
+      

+      

+    

+
+    
+    

+      
get_public_key (algorithm)

+      
+      
+      
+      
+      

+        
+      

+      

+    

+
+    
+    

+      
nostr_get_public_key

+      
+      
+      
+      
+      

+        
+      

+      

+    

+
+    
+    

+      
sign / verify

+      
+      
+      
+      
+      
+      
+      
+      
+      

+        
+        
+      

+      

+    

+
+    
+    

+      
encapsulate / decapsulate (ml-kem-768)

+      
+      
+      
+      
+      
+      
+      

+        
+        
+      

+      

+    

+
+    
+    

+      
derive_shared_secret (x25519)

+      
+      
+      
+      
+      

+        
+      

+      

+    

+
+    
+    

+      
derive (secp256k1 HMAC-SHA256)

+      
+      
+      
+      
+      

+        
+      

+      

+    

+
+    
+    

+      
nostr_sign_event

+      
+      
+      
+      
+      

+        
+      

+      

+    

+
+    
+    

+      
nostr_mine_event

+      
Slow on ESP32 — uses single-threaded PoW. Keep difficulty low.

+      
+      
+      
+      
+      
+      
+      
+      
+      

+        
+      

+      

+    

+
+    
+    

+      
nostr_nip04_encrypt / decrypt

+      
+      
+      
+      
+      
+      
+      
+      
+      

+        
+        
+      

+      

+    

+
+    
+    

+      
nostr_nip44_encrypt / decrypt

+      
+      
+      
+      
+      
+      
+      
+      
+      

+        
+        
+      

+      

+    

+
+    
+    

+      
encrypt / decrypt (otp)

+      
OTP pad is derived from the mnemonic on the CYD. Offset advances monotonically.

+      
+      
+      
+      
+      
+      
+      

+        
+        
+      

+      

+    

+  

+
+  

+    
n_signer

+    
ready

+    
Web Serial

+  

+
+  
+  

+    
+    

+      
n_signer CYD Web Serial Demo

+      
A browser control panel for the CYD (ESP32-2432S028) signer firmware. Speaks the n_signer JSON-RPC protocol over Web Serial at 115200 baud.

+
+      
Getting started

+      
1. Plug the CYD into a USB port (CH340 enumerates as /dev/ttyUSB*).

+      
2. Click Connect Web Serial and pick the CYD port.

+      
3. get_info fires automatically and reports firmware version + supported verbs.

+      
4. Enter a mnemonic on the CYD touchscreen to enable the signing verbs.

+
+      
Auth envelope

+      
Every request is signed with a demo secp256k1 key (priv = 0x0102…2020). The CYD verifies the kind-27235 auth event and replays-protects by event id.

+
+      
Transports

+      
Frames are 4-byte big-endian length + UTF-8 JSON payload. Same wire format as the host Unix-socket and TCP transports.

     

-
-    

-      
-      

-        
Get Public Key (algorithm)

-        
-        
-        
-        
-        

-          
-        

-        

-      

-
-      
-      

-        
nostr_get_public_key

-        
-        
-        
-        
-        

-          
-        

-        

-      

-
-      
-      

-        
sign / verify

-        
-        
-        
-        
-        
-        
-        
-        
-        

-          
-          
-        

-        

-      

-
-      
-      

-        
encapsulate / decapsulate (ml-kem-768)

-        
-        
-        
-        
-        
-        
-        

-          
-          
-        

-        

-      

-
-      
-      

-        
derive_shared_secret (x25519)

-        
-        
-        
-        
-        

-          
-        

-        

-      

-
-      
-      

-        
derive (secp256k1 HMAC-SHA256)

-        
-        
-        
-        
-        

-          
-        

-        

-      

-
-      
-      

-        
nostr_sign_event

-        
-        
-        
-        
-        

-          
-        

-        

-      

-
-      
-      

-        
nostr_mine_event

-        
Slow on ESP32 — uses single-threaded PoW. Keep difficulty low.

-        
-        
-        
-        
-        
-        
-        
-        
-        

-          
-        

-        

-      

-
-      
-      

-        
nostr_nip04_encrypt / decrypt

-        
-        
-        
-        
-        
-        
-        
-        
-        

-          
-          
-        

-        

-      

-
-      
-      

-        
nostr_nip44_encrypt / decrypt

-        
-        
-        
-        
-        
-        
-        
-        
-        

-          
-          
-        

-        

-      

-
-      
-      

-        
encrypt / decrypt (otp)

-        
OTP pad is derived from the mnemonic on the CYD. Offset advances monotonically.

-        
-        
-        
-        
-        
-        
-        

-          
-          
-        

-        

-      

+    

+      demo v1
+      

+        
+      

     

   

 
@@ -244,8 +583,12 @@
 
     const logEl = document.getElementById("log");
     const connStatusEl = document.getElementById("connStatus");
+    const footerStatusEl = document.getElementById("divFooterCenter");
     const connectBtn = document.getElementById("connectBtn");
     const disconnectBtn = document.getElementById("disconnectBtn");
+    const btnHamburger = document.getElementById("btnHamburger");
+    const divSideNav = document.getElementById("divSideNav");
+    const themeToggleButton = document.getElementById("themeToggleButton");
 
     let port = null;
     let reader = null;
@@ -261,6 +604,7 @@
     function setStatus(text, mode = "") {
       connStatusEl.textContent = text;
       connStatusEl.className = `status ${mode}`.trim();
+      footerStatusEl.textContent = text;
     }
     function hex(bytes) {
       return Array.from(bytes).map(b => b.toString(16).padStart(2, "0")).join("");
@@ -323,7 +667,6 @@
       while (rxBuffer.length >= 4) {
         const len = (rxBuffer[0] << 24) | (rxBuffer[1] << 16) | (rxBuffer[2] << 8) | rxBuffer[3];
         if (len <= 0 || len > 16384) {
-          /* resync: drop one byte */
           rxBuffer = rxBuffer.slice(1);
           continue;
         }
@@ -371,6 +714,29 @@
       }
     }
 
+    /* ---- SideNav + theme (§10, §12) ---- */
+    function openSideNav()  { divSideNav.classList.add("open"); }
+    function closeSideNav() { divSideNav.classList.remove("open"); }
+
+    btnHamburger.addEventListener("click", () => {
+      if (divSideNav.classList.contains("open")) closeSideNav(); else openSideNav();
+    });
+    document.getElementById("btnCloseSideNav").addEventListener("click", closeSideNav);
+    /* Click on the scrim (the body, outside the sidenav) closes it. */
+    document.getElementById("divBody").addEventListener("click", () => {
+      if (divSideNav.classList.contains("open")) closeSideNav();
+    });
+    /* ESC closes sidenav (§14). */
+    document.addEventListener("keydown", (e) => {
+      if (e.key === "Escape" && divSideNav.classList.contains("open")) {
+        closeSideNav();
+      }
+    });
+    themeToggleButton.addEventListener("click", () => {
+      const isDark = document.documentElement.classList.toggle("dark-mode");
+      localStorage.setItem('theme', isDark ? 'dark' : 'light');
+    });
+
     /* ---- Connect / Disconnect ---- */
     connectBtn.addEventListener("click", async () => {
       try {
@@ -387,6 +753,8 @@
         });
         disconnectBtn.disabled = false;
         connectBtn.disabled = true;
+        /* Auto-fetch version/capabilities so the user sees what firmware is running. */
+        try { document.getElementById("infoBtn").click(); } catch (e) { log("auto get_info failed:", e.message); }
       } catch (e) {
         setStatus("Error", "err");
         log("connect failed:", e.message);
@@ -411,6 +779,10 @@
     /* ---- Verb wiring ---- */
     const $ = id => document.getElementById(id);
 
+    $("infoBtn").addEventListener("click", () => {
+      callVerb("get_info", [], $("infoOut"));
+    });
+
     $("gpkBtn").addEventListener("click", () => {
       const alg = $("gpkAlg").value, idx = Number($("gpkIdx").value || 0);
       callVerb("get_public_key", [{ algorithm: alg, index: idx }], $("gpkOut"));
@@ -434,7 +806,6 @@
       const scheme = $("signScheme").value, msg = $("signMsg").value;
       const opts = { algorithm: alg, index: idx };
       if (alg === "secp256k1") opts.scheme = scheme;
-      /* parse the last sign result to get the signature */
       const outText = $("signOut").textContent;
       const m = outText.match(/"signature"\s*:\s*"([0-9a-f]+)"/);
       if (!m) { $("signOut").textContent += "\n✗ no signature found — run sign first"; return; }
@@ -444,7 +815,6 @@
     $("encapBtn").addEventListener("click", async () => {
       let peer = $("kemPeer").value.trim();
       if (!peer) {
-        /* fetch self ml-kem-768 pubkey first */
         const opts = [{ algorithm: "ml-kem-768", index: Number($("kemIdx").value || 0) }];
         const auth = await buildAuth("get_public_key", opts);
         const resp = await sendRpc({ id: String(Math.floor(Math.random()*1e9)), method: "get_public_key", params: opts, auth });
diff --git a/firmware/cyd_esp32_2432s028/main/main.c b/firmware/cyd_esp32_2432s028/main/main.c
index 1fba4f5..083767e 100644
--- a/firmware/cyd_esp32_2432s028/main/main.c
+++ b/firmware/cyd_esp32_2432s028/main/main.c
@@ -30,7 +30,7 @@
 #include "nostr_common.h"
 #include "utils.h"
 
-#define FIRMWARE_VERSION "0.0.2"
+#define FIRMWARE_VERSION "0.0.3"
 #ifndef GIT_HASH
 #define GIT_HASH "dev"
 #endif
@@ -115,6 +115,7 @@ typedef enum {
 #define VERB_GET_PUBLIC_KEY    "get_public_key"
 #define VERB_ENCRYPT           "encrypt"
 #define VERB_DECRYPT           "decrypt"
+#define VERB_GET_INFO          "get_info"
 
 /* Nostr protocol verbs (secp256k1 NIP-06, nostr_index selector). */
 #define VERB_NOSTR_GET_PUBLIC_KEY  "nostr_get_public_key"
@@ -1299,6 +1300,75 @@ static void handle_request(cJSON *req, const char *method, const char *id_token,
     cJSON *params = cJSON_GetObjectItemCaseSensitive(req, "params");
     char key_id[17];
 
+    /* ===================== get_info (no key material, no approval) ============ */
+    if (strcmp(method, VERB_GET_INFO) == 0) {
+        (void)params;
+        (void)caller_hex;
+        {
+            cJSON *obj = cJSON_CreateObject();
+            char *out = NULL;
+            if (obj == NULL) {
+                snprintf(s_response_buf, sizeof(s_response_buf),
+                         "{\"jsonrpc\":\"2.0\",\"id\":%s,\"error\":{\"code\":%d,\"message\":\"internal error\"}}",
+                         id_token, ERR_INTERNAL);
+                return;
+            }
+            cJSON_AddStringToObject(obj, "name", "n_signer");
+            cJSON_AddStringToObject(obj, "implementation", "cyd_esp32_2432s028");
+            cJSON_AddStringToObject(obj, "version", FIRMWARE_VERSION);
+            cJSON_AddStringToObject(obj, "git_hash", GIT_HASH);
+            cJSON_AddStringToObject(obj, "api", "json-rpc-2.0");
+            {
+                cJSON *verbs = cJSON_CreateArray();
+                if (verbs != NULL) {
+                    cJSON_AddItemToArray(verbs, cJSON_CreateString(VERB_GET_INFO));
+                    cJSON_AddItemToArray(verbs, cJSON_CreateString(VERB_GET_PUBLIC_KEY));
+                    cJSON_AddItemToArray(verbs, cJSON_CreateString(VERB_SIGN));
+                    cJSON_AddItemToArray(verbs, cJSON_CreateString(VERB_VERIFY));
+                    cJSON_AddItemToArray(verbs, cJSON_CreateString(VERB_ENCAPSULATE));
+                    cJSON_AddItemToArray(verbs, cJSON_CreateString(VERB_DECAPSULATE));
+                    cJSON_AddItemToArray(verbs, cJSON_CreateString(VERB_DERIVE_SHARED));
+                    cJSON_AddItemToArray(verbs, cJSON_CreateString(VERB_DERIVE));
+                    cJSON_AddItemToArray(verbs, cJSON_CreateString(VERB_ENCRYPT));
+                    cJSON_AddItemToArray(verbs, cJSON_CreateString(VERB_DECRYPT));
+                    cJSON_AddItemToArray(verbs, cJSON_CreateString(VERB_NOSTR_GET_PUBLIC_KEY));
+                    cJSON_AddItemToArray(verbs, cJSON_CreateString(VERB_NOSTR_SIGN_EVENT));
+                    cJSON_AddItemToArray(verbs, cJSON_CreateString(VERB_NOSTR_MINE_EVENT));
+                    cJSON_AddItemToArray(verbs, cJSON_CreateString(VERB_NOSTR_NIP04_ENCRYPT));
+                    cJSON_AddItemToArray(verbs, cJSON_CreateString(VERB_NOSTR_NIP04_DECRYPT));
+                    cJSON_AddItemToArray(verbs, cJSON_CreateString(VERB_NOSTR_NIP44_ENCRYPT));
+                    cJSON_AddItemToArray(verbs, cJSON_CreateString(VERB_NOSTR_NIP44_DECRYPT));
+                    cJSON_AddItemToObject(obj, "verbs", verbs);
+                }
+            }
+            {
+                cJSON *algs = cJSON_CreateArray();
+                if (algs != NULL) {
+                    cJSON_AddItemToArray(algs, cJSON_CreateString("secp256k1"));
+                    cJSON_AddItemToArray(algs, cJSON_CreateString("ed25519"));
+                    cJSON_AddItemToArray(algs, cJSON_CreateString("x25519"));
+                    cJSON_AddItemToArray(algs, cJSON_CreateString("ml-dsa-65"));
+                    cJSON_AddItemToArray(algs, cJSON_CreateString("slh-dsa-128s"));
+                    cJSON_AddItemToArray(algs, cJSON_CreateString("ml-kem-768"));
+                    cJSON_AddItemToArray(algs, cJSON_CreateString("otp"));
+                    cJSON_AddItemToObject(obj, "algorithms", algs);
+                }
+            }
+            out = cJSON_PrintUnformatted(obj);
+            cJSON_Delete(obj);
+            if (out == NULL) {
+                snprintf(s_response_buf, sizeof(s_response_buf),
+                         "{\"jsonrpc\":\"2.0\",\"id\":%s,\"error\":{\"code\":%d,\"message\":\"internal error\"}}",
+                         id_token, ERR_INTERNAL);
+            } else {
+                snprintf(s_response_buf, sizeof(s_response_buf),
+                         "{\"jsonrpc\":\"2.0\",\"id\":%s,\"result\":%s}", id_token, out);
+                cJSON_free(out);
+            }
+        }
+        return;
+    }
+
     /* ===================== Nostr verbs (secp256k1 NIP-06) ===================== */
 
     if (strcmp(method, VERB_NOSTR_GET_PUBLIC_KEY) == 0) {
diff --git a/firmware/teensy41/README.md b/firmware/teensy41/README.md
index d8000a6..6d50fc2 100644
--- a/firmware/teensy41/README.md
+++ b/firmware/teensy41/README.md
@@ -1,7 +1,13 @@
 # n_signer Teensy 4.1 Firmware
 
-**Status:** Planned — not yet implemented. See
-[`plans/teensy41_signer_port.md`](../../plans/teensy41_signer_port.md).
+**Status:** In progress — Phase 0 + SD + TFT + touch all verified on hardware
+(toolchain, blink, USB CDC serial, 4-bit SDMMC card read, ST7796S 480×320 TFT
+landscape fill + text, XPT2046 touch calibrated + live dot-draw verified). See
+[`plans/teensy41_bringup.md`](../../plans/teensy41_bringup.md) for the bring-up
+log, [`firmware/teensy41/WIRING.md`](WIRING.md) for the display wiring, and
+[`plans/teensy41_signer_port.md`](../../plans/teensy41_signer_port.md) for the
+full port plan. Next: exFAT re-test on the 1 TB SDXC card, then port the CYD
+display/touch/UI code.
 
 The **Teensy 4.1** (NXP i.MX RT1062, Cortex-M7 @ 600 MHz) is the high-capacity
 OTP pad target. Its built-in SD slot supports **1 TB SDXC cards (exFAT)** via
@@ -44,10 +50,67 @@ the CYD's [`touch.c`](../cyd_esp32_2432s028/main/touch.c) with 480×320
 resolution constants. The ST7796S display driver is new code (different init
 sequence than the CYD's ILI9341).
 
-Wiring: TFT SPI on pins 11/12/13, CS=10, DC=9, RESET=8, BL=22; touch shares
-the SPI bus with T_CS=7, T_IRQ=6. See
-[`plans/teensy41_signer_port.md`](../../plans/teensy41_signer_port.md) for the
-full pin table.
+Wiring: TFT SPI on pins 11/12/13 (hardware SPI0), CS=5, DC=7, RESET=6, BL=8;
+touch shares the SPI bus with T_CS=9, T_IRQ=2. See
+[`WIRING.md`](WIRING.md) for the full pin table and wire-by-wire chart.
+
+## Calibrated values & settings (verified on hardware)
+
+These are the values to use when porting the CYD display/touch/UI code to the
+Teensy 4.1. They were measured on the actual Elecrow 4.0" ST7796S + XPT2046
+module during bring-up (see [`plans/teensy41_bringup.md`](../../plans/teensy41_bringup.md)).
+
+### Display
+
+| Setting | Value | Notes |
+|---|---|---|
+| Orientation | **Landscape 480×320** | Wider than tall. |
+| `tft.init()` | `tft.init(320, 480)` | Pass the *native* (portrait) dims so the library takes its zero-offset branch. Do NOT use `init(480, 320)` — that computes a negative `_colstart` and offsets the image. |
+| `tft.setRotation()` | `setRotation(1)` | Produces landscape 480×320 from the `init(320, 480)` base. |
+| `SCREEN_W` / `SCREEN_H` | `480` / `320` | Use these constants for all drawing coordinates. **Do not use `tft.width()` / `tft.height()`** — the `ST7796_t3` accessors are broken and always return 480×320 regardless of rotation. |
+| Library | `ST7796_t3` (in Teensy's `ST7735_t3` library) | Hardware SPI0. |
+| `drawPixel()` | **Avoid near edges** | Use `fillRect(x, y, 1, n, c)` / `fillRect(x, y, n, 1, c)` for crosshairs and thin lines — `drawPixel` mispositions near the right/bottom edges. |
+
+### Touch (XPT2046)
+
+| Setting | Value | Notes |
+|---|---|---|
+| `T_CS` | pin 9 | Touch chip select (active low). |
+| `T_IRQ` | **pin 2** | Touch interrupt. **Must not be pin 10** — pin 10 is SPI0 CS0, and `pinMode(10, INPUT)` corrupts the SPI engine and reverts the display to the wrong orientation. |
+| SPI clock | 2 MHz | XPT2046 max is ~2.5 MHz; drop the clock before every touch read (`SPI.beginTransaction(SPISettings(2000000, MSBFIRST, SPI_MODE0))`). |
+| Axis swap | **Yes** | In landscape rotation 1, raw Y → screen X, raw X → screen Y. The calibration struct + `raw_to_screen()` handle this (see below). |
+| Control bytes | `0xD0` = X, `0x90` = Y, `0xB0`/`0xC0` = Z1/Z2 | Same as the CYD's [`touch.c`](../cyd_esp32_2432s028/main/touch.c). |
+| Pressure threshold | 80 | Reject readings with `pressure < 80` (stylus not pressing hard enough). Same as CYD. |
+
+### Touch calibration constants (measured 2026-07-26)
+
+```c
+static TouchCal s_cal = {
+  /* x_min = */ 207,
+  /* x_max = */ 1909,
+  /* y_min = */ 168,
+  /* y_max = */ 1798,
+  /* invert_x = */ 1,
+  /* invert_y = */ 1,
+};
+```
+
+With the axis swap, `x_min/x_max` is the range of **raw Y** that maps to screen
+X, and `y_min/y_max` is the range of **raw X** that maps to screen Y. The
+`raw_to_screen()` function swaps accordingly:
+
+```c
+*sx = map_clamped((int)raw_y, s_cal.x_min, s_cal.x_max,
+                  s_cal.invert_x ? (SCREEN_W - 1) : 0,
+                  s_cal.invert_x ? 0 : (SCREEN_W - 1));
+*sy = map_clamped((int)raw_x, s_cal.y_min, s_cal.y_max,
+                  s_cal.invert_y ? (SCREEN_H - 1) : 0,
+                  s_cal.invert_y ? 0 : (SCREEN_H - 1));
+```
+
+These constants are for the specific panel we calibrated. If you swap a
+display module, re-run [`firmware/teensy41/touch_cal/touch_cal.ino`](touch_cal/touch_cal.ino)
+and paste the new constants.
 
 ## Build (planned)
 
diff --git a/firmware/teensy41/WIRING.md b/firmware/teensy41/WIRING.md
new file mode 100644
index 0000000..b1b927c
--- /dev/null
+++ b/firmware/teensy41/WIRING.md
@@ -0,0 +1,306 @@
+# Wiring: 4.0" ST7796S 480×320 SPI TFT + XPT2046 Touch → Teensy 4.1
+
+This document describes how to wire the **Elecrow/Hosyond 4.0" 480×320 SPI TFT
+module with ST7796S driver and XPT2046 resistive touch** to the **Teensy 4.1**.
+
+It is the reference for Phase 1 of [`plans/teensy41_signer_port.md`](../../plans/teensy41_signer_port.md)
+(display + touch bring-up). Source documents for the pinout live in
+[`firmware/teensy41/documents/`](documents/):
+
+- [`ST7796S_Datasheet.pdf`](documents/ST7796S_Datasheet.pdf) — display controller
+- [`4.0inch_SPI_Module_User_Manual.pdf`](documents/4.0inch_SPI_Module_User_Manual.pdf) — module manual
+- [`4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki.html`](documents/4.0%20Inch%20480_320%20SPI%20TFT%20LCD%20Module%20with%20ST7796%20Driver_With%20Touch%20Function%20-%20Elecrow%20Wiki.html)
+- [`Teensy® 4.1.html`](documents/Teensy%C2%AE%204.1.html) — PJRC pinout reference
+
+## Module pinout
+
+The module breaks out 14 pins along one long edge. The labels below are the
+**silk-screen names on the actual Elecrow/Hosyond board** (read in order from
+one end of the header to the other). Alternate names in parentheses are the
+ones used in some other vendors' docs.
+
+| #  | Silkscreen | Alt name    | Function                          |
+|----|------------|-------------|-----------------------------------|
+| 1  | t_irq      |             | Touch interrupt (active low)      |
+| 2  | t_do       | T_MISO      | Touch SPI MISO (shared bus)       |
+| 3  | t_din      | T_MOSI      | Touch SPI MOSI (shared bus)       |
+| 4  | t_cs       |             | Touch chip select (active low)    |
+| 5  | t_clk      | T_SCK       | Touch SPI clock (shared bus)      |
+| 6  | sdo (miso) | SDO / MISO  | TFT SPI MISO (shared with touch)  |
+| 7  | led        | BL / BKL    | Backlight (high = on; PWM-able)   |
+| 8  | sck        | CLK / SCL   | TFT SPI clock (shared with touch) |
+| 9  | sdi (mosi) | SDI / SDA   | TFT SPI MOSI (shared with touch)  |
+| 10 | dc/rs      | DC / A0     | TFT data/command select           |
+| 11 | reset      | RST         | TFT reset (active low)            |
+| 12 | cs         | LCD_CS      | TFT chip select (active low)      |
+| 13 | gnd        |             | Ground                            |
+| 14 | vcc        |             | Power (3.3V–5V)                   |
+
+> The module has a **second SD card slot** on the PCB (separate from the
+> Teensy's built-in slot). Its pins are not broken out on the 14-pin header —
+> they go to the SD contacts on the back of the module. We **do not use** the
+> module's SD slot; the 1 TB OTP pad lives in the Teensy's built-in SDMMC slot
+> (4-bit bus, ~20–40 MB/s, exFAT). See [`README.md`](README.md) §SD card size support.
+
+## Connection chart (wire-by-wire)
+
+This is the simple "connect this Teensy pin to that module pin" list. **Power
+first, then signals.**
+
+### By display header position (use this when the silkscreen is hidden)
+
+When the display is plugged into a breadboard, you can't read the silkscreen.
+This table is indexed by **physical position on the display header**, counting
+from the end with `t_irq` (pin 1) to the end with `vcc` (pin 14). Hold the
+display with the header at the bottom and the screen facing you; pin 1 is the
+leftmost pin (the `t_irq` end), pin 14 is the rightmost (the `vcc` end).
+
+| Display header pos | Silkscreen | → | Teensy 4.1 pin | Function |
+|---|---|---|---|---|
+| 1  | t_irq      | → | 2   | Touch interrupt (active low) — see note below on why not pin 10 |
+| 2  | t_do       | → | 12  | SPI0 MISO (shared) |
+| 3  | t_din      | → | 11  | SPI0 MOSI (shared) |
+| 4  | t_cs       | → | 9   | Touch chip select (active low) |
+| 5  | t_clk      | → | 13  | SPI0 SCK (shared) — opposite edge |
+| 6  | sdo (miso) | → | 12  | SPI0 MISO (same wire as pos 2) |
+| 7  | led        | → | 8   | Backlight (PWM-able) |
+| 8  | sck        | → | 13  | SPI0 SCK (same wire as pos 5) |
+| 9  | sdi (mosi) | → | 11  | SPI0 MOSI (same wire as pos 3) |
+| 10 | dc/rs      | → | 7   | TFT data/command |
+| 11 | reset      | → | 6   | TFT reset (active low) |
+| 12 | cs         | → | 5   | TFT chip select (software CS) |
+| 13 | gnd        | → | GND | Ground (opposite edge, next to pin 13) |
+| 14 | vcc        | → | 3V3 | 3.3V power (long edge, past pin 12) — **NOT 5V** |
+
+**Shared pins (pos 2↔6, 3↔9, 5↔8):** these pairs are tied together on the
+display PCB, so you only need to wire **one of each pair** to the Teensy. The
+table shows both for completeness, but in practice you can wire pos 2, 3, 5
+and leave pos 6, 8, 9 floating (or wire them to the same Teensy pin —
+harmless). That brings it to **11 wires** total (8 unique signals + 3V3 + GND
++ the 3 shared-pair duplicates you choose to wire).
+
+### By Teensy pin number (for lookup at the Teensy)
+
+Sorted by Teensy pin number for easy lookup at the Teensy end of the wires.
+
+| Teensy 4.1 pin | → | Module silkscreen | What it does |
+|----------------|---|-------------------|--------------|
+| GND            | → | gnd               | Ground (GND is on the opposite edge, next to pin 13) |
+| 3V3            | → | vcc               | 3.3V power (**not 5V**) — the 3V3 pin is on the long edge, just past pin 12 |
+| 2              | → | t_irq             | Touch interrupt (active low) — **not pin 10** (see note below) |
+| 5              | → | cs                | TFT chip select (software CS — see note below) |
+| 6              | → | reset             | TFT reset (active low) |
+| 7              | → | dc/rs             | TFT data/command |
+| 8              | → | led               | Backlight (HIGH = on; PWM-able) |
+| 9              | → | t_cs              | Touch chip select (active low) |
+| 11             | → | sdi (mosi)        | SPI0 MOSI (also wires to `t_din`) |
+| 12             | → | sdo (miso)        | SPI0 MISO (also wires to `t_do`) |
+| 13             | → | sck               | SPI0 SCK (also wires to `t_clk`) — **pin 13 is on the opposite edge**, route via a short jumper |
+
+That's **11 wires** total, all in the pins 5-13 range plus 3V3 and GND. The
+three shared SPI lines (`sdi (mosi)`, `sdo (miso)`, `sck`) each fan out to two
+module pins — see the next section for why and how.
+
+> **Why `cs` is on pin 5 (software CS) and `t_irq` is on pin 2 (not pin 10):**
+> Pin 10 is the hardware CS0 for SPI0. **Do not use pin 10 for anything else** —
+> calling `pinMode(10, ...)` (e.g. for `t_irq` as an input) corrupts the SPI0
+> engine state and reverts the ST7796S display to landscape mode after
+> `setRotation()`. This is a hard-won lesson documented in
+> [`plans/teensy41_bringup.md`](../../plans/teensy41_bringup.md). So:
+> - `cs` is on pin 5 (software CS via `SPI.beginTransaction()`) — the speed
+>   difference vs hardware CS0 is negligible for a signer UI.
+> - `t_irq` is on pin 2 (long edge, before pin 5) — keeps it off pin 10 and
+>   out of the SPI0 CS0 conflict.
+> If you want hardware CS0 for the TFT, you can put `cs` on pin 10, but then
+> `t_irq` must stay on pin 2 (or be dropped entirely in favor of polling).
+
+> **Shared-bus shortcut:** `sdi (mosi)` and `t_din` are the same net on the
+> module PCB, `sdo (miso)` and `t_do` are the same net, and `sck` and `t_clk`
+> are the same net. So for each shared pair you can either (a) wire the Teensy
+> pin to **both** module pins (harmless, just a Y-jumper), or (b) wire the
+> Teensy pin to **one** module pin and leave the other floating (it's tied
+> internally on the PCB). The connection chart above wires each Teensy SPI pin
+> to the TFT-side silkscreen; the touch-side silkscreen of each pair is tied to
+> the same net on the board.
+
+## Teensy 4.1 pin assignments
+
+The Teensy 4.1 has 3 hardware SPI ports. We use **SPI0** (the primary port with
+the FIFO) on pins 11/12/13. The TFT and the XPT2046 share this bus; each has its
+own CS. All pins are 3.3V — the module is 3.3V-logic compatible, so no level
+shifting is needed.
+
+| Silkscreen | Teensy 4.1 pin | Teensy function         | Notes |
+|------------|----------------|--------------------------|-------|
+| gnd        | GND            | Ground                   | GND is on the opposite edge, next to pin 13. |
+| vcc        | 3V3            | 3.3V output              | **Use 3.3V, not 5V/VIN.** The 3V3 pin is on the long edge, just past pin 12. The Teensy's 3.3V regulator can supply up to ~250 mA; the display + backlight draw ~80–120 mA, well within budget. |
+| cs         | 5              | GPIO (software CS)       | TFT chip select (active low). Software CS via `SPI.beginTransaction()` — see the note in the connection chart about why we didn't use hardware CS0 on pin 10. |
+| reset      | 6              | GPIO                     | TFT reset. Drive low for >10 µs to reset; pull high (or set as OUTPUT HIGH) for normal operation. Can also be tied to a 10 kΩ pull-up and left floating if you don't need software reset. |
+| dc/rs      | 7              | GPIO                     | TFT data/command. High = data (pixel/command param), Low = command. |
+| led        | 8              | GPIO / PWM               | Backlight. Drive HIGH for full brightness, or use `analogWrite(8, 0..255)` for dimming. Can also be tied to 3.3V through a ~100 Ω resistor for always-on. |
+| t_cs       | 9              | GPIO                     | Touch chip select. Active low. Must be HIGH when talking to the TFT, LOW when reading the touch. |
+| t_irq      | 2              | GPIO (input + interrupt) | Touch interrupt. Pulled high by the XPT2046 internally; goes low when touch pressure is detected. Optional — can be left unconnected and polled, but wiring it lets us sleep until a touch happens. **Must not be pin 10** (SPI0 CS0 — `pinMode(10, INPUT)` corrupts the SPI engine and reverts the display to landscape). |
+| sdi (mosi) | 11             | SPI0 MOSI                | Shared with touch `t_din`. |
+| sdo (miso) | 12             | SPI0 MISO                | Shared with touch `t_do`. The TFT rarely drives MISO (most ST7796S commands are write-only), but the XPT2046 reads return on this line. |
+| sck        | 13             | SPI0 SCK                 | Shared with touch `t_clk`. **Pin 13 is on the opposite edge** of the Teensy (next to GND), so route it via a short jumper across the board. Pin 13 also drives the onboard orange LED — that's fine, the LED just blinks during SPI activity. |
+| t_clk      | 13             | SPI0 SCK (shared)        | Same wire as `sck`. |
+| t_do       | 12             | SPI0 MISO (shared)       | Same wire as `sdo (miso)`. |
+| t_din      | 11             | SPI0 MOSI (shared)       | Same wire as `sdi (mosi)`. |
+
+### Pin map summary (Teensy side)
+
+Wires, listed in the same order as the module's silkscreen header (pin 1 → 14):
+
+```
+Teensy 4.1   Silkscreen   Function
+-----------  -----------  ------------------------------------------
+pin 2        t_irq        Touch interrupt (active low — NOT pin 10, see note)
+pin 12       t_do         Touch MISO  (shared SPI0 MISO)
+pin 11       t_din        Touch MOSI  (shared SPI0 MOSI)
+pin 9        t_cs         Touch chip select (active low)
+pin 13       t_clk        Touch SCK   (shared SPI0 SCK — opposite edge)
+pin 12       sdo (miso)   TFT MISO    (shared SPI0 MISO — same wire as t_do)
+pin 8        led          Backlight (HIGH = on; analogWrite for dimming)
+pin 13       sck          TFT SCK     (shared SPI0 SCK — same wire as t_clk)
+pin 11       sdi (mosi)   TFT MOSI    (shared SPI0 MOSI — same wire as t_din)
+pin 7        dc/rs        TFT data/command
+pin 6        reset        TFT reset (active low)
+pin 5        cs           TFT chip select (software CS)
+GND          gnd          Ground (opposite edge, next to pin 13)
+3V3          vcc          Power (3.3V — NOT 5V; long edge, past pin 12)
+```
+
+Shared-bus note: `t_do` and `sdo (miso)` are the **same electrical net** on the
+module (both connect to the SPI MISO line), and `t_din`/`sdi (mosi)` and
+`t_clk`/`sck` are likewise the same nets. You only need to wire one of each
+shared pair to the Teensy — but on this module the header brings both out, so
+you can either wire both to the same Teensy pin (harmless) or wire one and leave
+the other floating (also fine, since they're tied together on the PCB). The
+table above wires both to the same Teensy pin for clarity.
+
+## SPI bus sharing
+
+The TFT and the XPT2046 share MOSI / SCK / MISO. The rule for sharing:
+
+1. **Only one CS is low at a time.** Before talking to the TFT, set `t_cs` HIGH
+   and `cs` LOW. Before reading the touch, set `cs` HIGH and `t_cs` LOW.
+2. **Use `SPI.beginTransaction(SPISettings(spi_speed, MSBFIRST, SPI_MODE0))` /
+   `SPI.endTransaction()`** around each device's access. The TFT and the XPT2046
+   both use SPI mode 0, but they may want different clock speeds:
+   - TFT: up to 40 MHz (the ST7796S supports 1-line SPI up to ~62 MHz; 40 MHz is
+     a safe conservative choice on the Teensy's SPI0).
+   - XPT2046: 2–2.5 MHz max (the XPT2046 datasheet specifies a max serial clock
+     of ~2.5 MHz). **Always drop the clock before reading the touch.**
+3. **The XPT2046 control byte** is `0x90` for X read (channel 5) and `0xD0` for
+   Y read (channel 1), 8-bit, MSB first, with the start bit set. See
+   [`firmware/cyd_esp32_2432s028/main/touch.c`](../cyd_esp32_2432s028/main/touch.c)
+   `xpt2046_transfer_12b()` for the bit-banged reference; on the Teensy we can
+   use the hardware SPI engine instead of bit-banging.
+
+## Routing notes (trace-crossing analysis)
+
+This assignment uses **hardware SPI0** (MOSI=11, MISO=12, SCK=13) for maximum
+display throughput (FIFO + DMA, up to 40 MHz), with all display pins in a
+contiguous block on the Teensy's long edge (pins 5-12) plus SCK=13 on the
+opposite edge. The display module's silkscreen pin order doesn't match the
+Teensy's SPI0 pin order, so a small number of trace crossings are unavoidable.
+This is fine for jumper wires and trivial on a 2-layer PCB.
+
+**Teensy 4.1 physical layout (relevant part):**
+- **Long edge:** 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 3V3, 24, 25, ...
+- **Opposite edge:** 0, 13, 14, ... with GND in the middle
+
+So pins 5-12 are contiguous on the long edge, 3V3 is right past pin 12, and
+pin 13 (SCK) + GND are on the opposite edge. All display signals fit in the
+pins 5-13 range plus 3V3 and GND — no need to reach up to pins 24+.
+
+**Crossings (2 on the long edge + 1 SCK via):**
+
+1. **MOSI/MISO swap.** Display order is MISO(`t_do`/`sdo`, pos 2/6) then
+   MOSI(`t_din`/`sdi`, pos 3/9); Teensy SPI0 is MOSI(11) then MISO(12). One
+   crossing — unavoidable given the fixed SPI0 pin assignments.
+2. **`t_cs` jumps over the SPI pins.** Display pos 3-4-5 is
+   MOSI-`t_cs`-SCK; Teensy pins 11-12-13 are MOSI-MISO-SCK with no free pin
+   between MOSI(11) and SCK(13). `t_cs` (Teensy pin 9) routes below the SPI
+   block, crossing the MOSI/MISO pair. One crossing.
+3. **SCK via to the opposite edge.** SCK is on pin 13, which is on the
+   opposite edge of the Teensy from pins 5-12. This is a via (a short jumper
+   across the board), not a trace crossing on the long edge.
+
+The remaining GPIOs (`led`=8, `dc/rs`=7, `reset`=6, `cs`=5) run monotonically
+down the long edge below `t_cs`=9 — zero crossings among them.
+
+**Why not zero crossings?** A zero-crossing assignment is possible by
+bit-banging SPI on Teensy pins in exact display order, but it loses the
+hardware SPI engine — display refresh drops to ~0.2-0.5 s per full 480×320
+frame. We chose hardware SPI0 for a snappy UI and accepted 2 crossings + 1
+via, which is trivial for jumper wires or a 2-layer PCB.
+
+**Why `cs`=5 (software CS) and `t_irq`=2?** Pin 10 is the hardware CS0 for
+SPI0, but **pin 10 cannot be used for `t_irq`** — calling `pinMode(10, INPUT)`
+corrupts the SPI0 engine and reverts the display to landscape after
+`setRotation()` (verified during bring-up, see
+[`plans/teensy41_bringup.md`](../../plans/teensy41_bringup.md)). So `t_irq` is
+on pin 2 (long edge, before pin 5), and `cs` is on pin 5 (software CS via
+`SPI.beginTransaction()`). The speed difference vs hardware CS0 is negligible
+for a signer UI. If you want hardware CS0 for the TFT, put `cs` on pin 10 and
+leave `t_irq` on pin 2 (or drop `t_irq` and poll).
+
+## Power notes
+
+- **3.3V only.** The Teensy 4.1's pins are **not 5V tolerant**. The display
+  module is rated 3.3V–5V and works at 3.3V logic — power it from the Teensy's
+  `3V3` pin, **not** `VIN`/`VUSB` (5V). Driving VCC with 5V while the signal
+  pins are at 3.3V can back-power the ST7796S level shifters and is unnecessary.
+- **Backlight current.** The LED pin on these modules is typically driven
+  through a transistor on the module; a direct 3.3V GPIO high is enough to turn
+  it on. If the backlight flickers or the GPIO can't hold high, drive `LED` from
+  3.3V through a ~100 Ω resistor instead and skip PWM dimming.
+- **Total draw.** Display + backlight + touch ≈ 80–120 mA at 3.3V. The Teensy's
+  onboard regulator is rated for ~250 mA external use, so this is within budget.
+  If you add other peripherals (Ethernet PHY, etc.), re-check the budget.
+
+## Wiring checklist (do this before powering on)
+
+- [ ] VCC → **3V3** (not 5V/VIN).
+- [ ] GND → GND.
+- [ ] All SPI signal pins (`cs`, `dc/rs`, `reset`, `sdi (mosi)`, `sck`,
+      `sdo (miso)`, `t_cs`, `t_irq`) go to the Teensy pins listed above —
+      confirm none are swapped. The easy one to get backwards is
+      `sdi (mosi)` ↔ `sdo (miso)`: on this module **`sdi (mosi)` = Teensy pin 11
+      (MOSI)** and **`sdo (miso)` = Teensy pin 12 (MISO)**.
+- [ ] The shared-bus pairs (`t_do`/`sdo (miso)`, `t_din`/`sdi (mosi)`,
+      `t_clk`/`sck`) are tied together on the module PCB — wire one of each
+      pair to the Teensy pin and the other can go to the same pin or float.
+      Don't wire them to *different* Teensy pins.
+- [ ] No 5V signal reaches any Teensy pin.
+- [ ] The Teensy's built-in SD slot is **not** wired to the display — the
+      module's SD slot is unused. The 1 TB pad goes in the Teensy's built-in
+      slot only.
+
+## Bring-up order (Phase 1)
+
+1. **TFT only first.** Wire `vcc`, `gnd`, `cs`, `reset`, `dc/rs`, `sdi (mosi)`,
+   `sck`, `led`, `sdo (miso)`. Leave `t_cs`, `t_irq` floating for now. Run a
+   fill-screen + draw-text sketch. Exit criterion: solid color fill + readable
+   text.
+2. **Touch second.** Add `t_cs`, `t_clk` (shared with `sck`), `t_din` (shared
+   with `sdi (mosi)`), `t_do` (shared with `sdo (miso)`), `t_irq`. Run a
+   touch-read sketch that prints raw X/Y + mapped pixel coords. Exit criterion:
+   stylus press prints coordinates that track the stylus position across the
+   full 480×320 area.
+3. **Calibration.** The XPT2046 raw readings need a 2-point calibration per
+   axis (min/max raw → 0/480 and 0/320). Port the calibration struct from
+   [`firmware/cyd_esp32_2432s028/main/touch.c`](../cyd_esp32_2432s028/main/touch.c)
+   `s_cal` and re-calibrate on the Teensy (the CYD's numbers won't match —
+   different panel, different controller).
+
+## References
+
+- Port plan: [`plans/teensy41_signer_port.md`](../../plans/teensy41_signer_port.md)
+- Bring-up log: [`plans/teensy41_bringup.md`](../../plans/teensy41_bringup.md)
+- CYD display driver to port: [`firmware/cyd_esp32_2432s028/main/ili9341.c`](../cyd_esp32_2432s028/main/ili9341.c)
+- CYD touch driver to port: [`firmware/cyd_esp32_2432s028/main/touch.c`](../cyd_esp32_2432s028/main/touch.c)
+- ST7796S datasheet: [`firmware/teensy41/documents/ST7796S_Datasheet.pdf`](documents/ST7796S_Datasheet.pdf)
+- Module user manual: [`firmware/teensy41/documents/4.0inch_SPI_Module_User_Manual.pdf`](documents/4.0inch_SPI_Module_User_Manual.pdf)
+- Teensy 4.1 pinout: [`firmware/teensy41/documents/Teensy® 4.1.html`](documents/Teensy%C2%AE%204.1.html)
diff --git a/firmware/teensy41/blink/blink.ino b/firmware/teensy41/blink/blink.ino
new file mode 100644
index 0000000..d012c33
--- /dev/null
+++ b/firmware/teensy41/blink/blink.ino
@@ -0,0 +1,24 @@
+// Teensy 4.1 bring-up: blink the onboard red LED on pin 13 at 1 Hz.
+//
+// Phase 0 of plans/teensy41_signer_port.md. First sketch to load after the
+// board's application flash was erased (board enumerates as Halfkay bootloader
+// 16c0:0478 with no /dev/ttyACMx and no LED activity). A successful upload +
+// visible 1 Hz blink confirms the toolchain, the FQBN, and the USB upload path.
+//
+// Build / upload:
+//   arduino-cli compile --fqbn teensy:avr:teensy41 firmware/teensy41/blink
+//   arduino-cli upload -p /dev/ttyACM0 --fqbn teensy:avr:teensy41 firmware/teensy41/blink
+//
+// Exit criterion: the red LED near the USB connector toggles at exactly 1 Hz
+// (slower than the PJRC factory blink, which is ~5 Hz, so the change is obvious).
+
+void setup() {
+  pinMode(LED_BUILTIN, OUTPUT);   // LED_BUILTIN == 13 on Teensy 4.1
+}
+
+void loop() {
+  digitalWrite(LED_BUILTIN, HIGH);
+  delay(500);
+  digitalWrite(LED_BUILTIN, LOW);
+  delay(500);
+}
diff --git a/firmware/teensy41/build_signer.sh b/firmware/teensy41/build_signer.sh
new file mode 100755
index 0000000..3b2fcbc
--- /dev/null
+++ b/firmware/teensy41/build_signer.sh
@@ -0,0 +1,79 @@
+#!/bin/bash
+# build_signer.sh — reproducible build + optional flash for the Teensy 4.1 n_signer.
+#
+# Usage:
+#   ./firmware/teensy41/build_signer.sh           # compile only
+#   ./firmware/teensy41/build_signer.sh --flash    # compile + upload
+#   ./firmware/teensy41/build_signer.sh --test     # compile + upload + run test suite
+#
+# This script handles:
+#   - Copying lv_conf.h to the Arduino libraries directory (where LVGL's
+#     lv_conf_internal.h searches for it via ../../lv_conf.h).
+#   - Passing the custom linker script (imxrt1062_t41_flashmem.ld) that routes
+#     crypto code to FLASH instead of ITCM, freeing stack space.
+#   - Printing the memory usage report.
+#   - Optionally uploading to the first discovered Teensy port.
+#   - Optionally running the hardware test suite.
+
+set -e
+
+SCRIPT_DIR="$(cd "$(dirname "$0")" && pwd)"
+SIGNER_DIR="$SCRIPT_DIR/signer"
+FQBN="teensy:avr:teensy41"
+LV_CONF_SRC="$SIGNER_DIR/lv_conf.h"
+LV_CONF_DST="$HOME/Arduino/libraries/lv_conf.h"
+LINKER_SCRIPT="$SIGNER_DIR/imxrt1062_t41_flashmem.ld"
+
+# --- Step 1: Copy lv_conf.h to the Arduino libraries directory ---
+if [ -f "$LV_CONF_SRC" ]; then
+  mkdir -p "$(dirname "$LV_CONF_DST")"
+  cp "$LV_CONF_SRC" "$LV_CONF_DST"
+  echo "[build] Copied lv_conf.h to $LV_CONF_DST"
+else
+  echo "[build] WARNING: $LV_CONF_SRC not found — LVGL may use default config."
+fi
+
+# --- Step 2: Compile with the custom linker script ---
+echo "[build] Compiling..."
+LINKER_FLAG="-Wl,--gc-sections,--relax,--no-warn-rwx-segments -T${LINKER_SCRIPT}"
+
+if [ -f "$LINKER_SCRIPT" ]; then
+  arduino-cli compile \
+    --fqbn "$FQBN" \
+    --build-property "build.flags.ld=${LINKER_FLAG}" \
+    "$SIGNER_DIR"
+else
+  echo "[build] WARNING: Linker script not found at $LINKER_SCRIPT — using default."
+  arduino-cli compile --fqbn "$FQBN" "$SIGNER_DIR"
+fi
+
+echo "[build] Compilation successful."
+
+# --- Step 3: Find the Teensy port ---
+find_teensy_port() {
+  arduino-cli board list 2>/dev/null | grep 'teensy   Teensy Ports' | awk '{print $1}' | head -1
+}
+
+# --- Step 4: Flash (if --flash or --test) ---
+if [ "$1" = "--flash" ] || [ "$1" = "--test" ]; then
+  PORT=$(find_teensy_port)
+  if [ -z "$PORT" ]; then
+    echo "[flash] No Teensy found. Press the PROGRAM button on the Teensy."
+    exit 1
+  fi
+  echo "[flash] Uploading to $PORT..."
+  arduino-cli upload -p "$PORT" --fqbn "$FQBN" "$SIGNER_DIR"
+  echo "[flash] Upload complete."
+fi
+
+# --- Step 5: Run test suite (if --test) ---
+if [ "$1" = "--test" ]; then
+  echo "[test] Waiting for device to boot..."
+  sleep 4
+  PORT_DEV=$(arduino-cli board list 2>/dev/null | grep 'ttyACM' | awk '{print $1}' | head -1)
+  if [ -z "$PORT_DEV" ]; then
+    PORT_DEV="/dev/ttyACM0"
+  fi
+  echo "[test] Running test suite on $PORT_DEV..."
+  python3 "$SCRIPT_DIR/test_signer.py" --port "$PORT_DEV" || true
+fi
diff --git a/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki.html b/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki.html
new file mode 100644
index 0000000..298c586
--- /dev/null
+++ b/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki.html	
@@ -0,0 +1,105 @@
+
+
+4.0 Inch 480*320 SPI TFT LCD Module with ST7796 Driver|With Touch Function - Elecrow Wiki      
 
 
  
 
 
 
 
 
 
  
 
 
 
 
 
  
 
 
 
 
 
4.0 Inch 480*320 SPI TFT LCD Module with ST7796 Driver|With Touch Function
 
Description
 
 
This 4.0-inch SPI interface TFT LCD display module uses a high-performance ST7796 driver chip and supports 480x320 resolution and 65K color display. Data transmission is achieved through the SPI protocol, and only a small number of IO ports are required to light up; it has an SD card slot for easy data storage and reading. It provides a GPIO expansion interface to lower the threshold for embedded development. The module has an optional touch function and is compatible with mainstream development boards such as STM32, Arduino, etc. It is suitable for industrial HMI, smart home control panels, portable devices and other scenarios.
 
In addition, the product is produced in accordance with military-grade process standards to ensure its long-term stability in various complex environments. We also provide comprehensive sample programs and underlying driver technology support to help developers get started quickly and easily realize project development and application.
 
For customized requirements (based on MOQ), please contact us at service@elecrow.com.
 
Model DLS25040B
 
4.0inch_spi_module_with_touch_function
 
Feature
 
 
     
  • 4.0-inch color screen with a resolution of 480*320, supports 16BIT RGB 65K color display for rich display colors;
    •  
  • Touch function is optional;
    •  
  • Uses the SPI serial bus, requiring only a few IO pins to power on the display;
    •  
  • Equipped with an SD card slot;
    •  
  • Provides a wide range of example programs and low-level driver technical support.
    •  
 
Specification
 
 
  
 Size 4.0 inch 
   
 Screen Type TFT 
 
 Resolution 480*320 (Pixel) 
 
 Color RGB 65K color 
 
 Driver IC ST7796S 
 
 Interface 4-wire SPI interface 
 
 VCC Power Voltage 3.3V~5V 
 
 Logic IO Port Voltage 3.3V(TTL) 
 
 Touch Type Resistive touch screen 
 
 Touch IC XPT2046 
 
 Operating Temperature -20℃~60℃ 
 
 Storage Temperature -30℃~70℃ 
 
 Active Area 55.68x83.52(mm) 
 
 Module Size 61.74x108.04(mm) 
  
 
Resources
 
  
How to buy
 
 
Please visit this page to purchase 4.0 Inch 480*320 SPI TFT LCD Module.
 
Support
 
 
If you have any problem about how to use it, you can connect to us at the bottom-right of bazzer or contact to techsupport@elecrow.com to get technology support.
 
 
  
 
  
 
 
 
      
\ No newline at end of file
diff --git a/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/ELECROW_LOGO.webp b/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/ELECROW_LOGO.webp
new file mode 100644
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diff --git a/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/bundle.79ae519e.min.js b/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/bundle.79ae519e.min.js
new file mode 100644
index 0000000..3df3e5e
--- /dev/null
+++ b/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/bundle.79ae519e.min.js	
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T,c=a.pipe(oe(),ae(!0));z([a,Le(e),mt(e)]).pipe(W(c),$e(1,ye)).subscribe({next([{active:p},l]){let f=Be(p),{width:u}=de(p);e.style.setProperty("--md-indicator-x",`${f.x}px`),e.style.setProperty("--md-indicator-width",`${u}px`);let d=gr(o);(f.xd.x+l.width)&&o.scrollTo({left:Math.max(0,f.x-16),behavior:"smooth"})},complete(){e.style.removeProperty("--md-indicator-x"),e.style.removeProperty("--md-indicator-width")}}),z([Ge(o),Le(o)]).pipe(W(c)).subscribe(([p,l])=>{let f=At(o);i.hidden=p.x<16,s.hidden=p.x>f.width-l.width-16}),L(h(i,"click").pipe(m(()=>-1)),h(s,"click").pipe(m(()=>1))).pipe(W(c)).subscribe(p=>{let{width:l}=de(o);o.scrollBy({left:l*p,behavior:"smooth"})}),r.pipe(W(c),g(p=>n.includes(p))).subscribe(p=>p.click()),o.classList.add("tabbed-labels--linked");for(let p of n){let 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+//# sourceMappingURL=bundle.79ae519e.min.js.map
+
diff --git a/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/css b/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/css
new file mode 100644
index 0000000..53d7735
--- /dev/null
+++ b/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/css	
@@ -0,0 +1,756 @@
+/* cyrillic-ext */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 300;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkC3kaWzU.woff2) format('woff2');
+  unicode-range: U+0460-052F, U+1C80-1C8A, U+20B4, U+2DE0-2DFF, U+A640-A69F, U+FE2E-FE2F;
+}
+/* cyrillic */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 300;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkAnkaWzU.woff2) format('woff2');
+  unicode-range: U+0301, U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116;
+}
+/* greek-ext */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 300;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkCnkaWzU.woff2) format('woff2');
+  unicode-range: U+1F00-1FFF;
+}
+/* greek */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 300;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkBXkaWzU.woff2) format('woff2');
+  unicode-range: U+0370-0377, U+037A-037F, U+0384-038A, U+038C, U+038E-03A1, U+03A3-03FF;
+}
+/* math */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 300;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkenkaWzU.woff2) format('woff2');
+  unicode-range: U+0302-0303, U+0305, U+0307-0308, U+0310, U+0312, U+0315, U+031A, U+0326-0327, U+032C, U+032F-0330, U+0332-0333, U+0338, U+033A, U+0346, U+034D, U+0391-03A1, U+03A3-03A9, U+03B1-03C9, U+03D1, U+03D5-03D6, U+03F0-03F1, U+03F4-03F5, U+2016-2017, U+2034-2038, U+203C, U+2040, U+2043, U+2047, U+2050, U+2057, U+205F, U+2070-2071, U+2074-208E, U+2090-209C, U+20D0-20DC, U+20E1, U+20E5-20EF, U+2100-2112, U+2114-2115, U+2117-2121, U+2123-214F, U+2190, U+2192, U+2194-21AE, U+21B0-21E5, U+21F1-21F2, U+21F4-2211, U+2213-2214, U+2216-22FF, U+2308-230B, U+2310, U+2319, U+231C-2321, U+2336-237A, U+237C, U+2395, U+239B-23B7, U+23D0, U+23DC-23E1, U+2474-2475, U+25AF, U+25B3, U+25B7, U+25BD, U+25C1, U+25CA, U+25CC, U+25FB, U+266D-266F, U+27C0-27FF, U+2900-2AFF, U+2B0E-2B11, U+2B30-2B4C, U+2BFE, U+3030, U+FF5B, U+FF5D, U+1D400-1D7FF, U+1EE00-1EEFF;
+}
+/* symbols */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 300;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkaHkaWzU.woff2) format('woff2');
+  unicode-range: U+0001-000C, U+000E-001F, U+007F-009F, U+20DD-20E0, U+20E2-20E4, U+2150-218F, U+2190, U+2192, U+2194-2199, U+21AF, U+21E6-21F0, U+21F3, U+2218-2219, U+2299, U+22C4-22C6, U+2300-243F, U+2440-244A, U+2460-24FF, U+25A0-27BF, U+2800-28FF, U+2921-2922, U+2981, U+29BF, U+29EB, U+2B00-2BFF, U+4DC0-4DFF, U+FFF9-FFFB, U+10140-1018E, U+10190-1019C, U+101A0, U+101D0-101FD, U+102E0-102FB, U+10E60-10E7E, U+1D2C0-1D2D3, U+1D2E0-1D37F, U+1F000-1F0FF, U+1F100-1F1AD, U+1F1E6-1F1FF, U+1F30D-1F30F, U+1F315, U+1F31C, U+1F31E, U+1F320-1F32C, U+1F336, U+1F378, U+1F37D, U+1F382, U+1F393-1F39F, U+1F3A7-1F3A8, U+1F3AC-1F3AF, U+1F3C2, U+1F3C4-1F3C6, U+1F3CA-1F3CE, U+1F3D4-1F3E0, U+1F3ED, U+1F3F1-1F3F3, U+1F3F5-1F3F7, U+1F408, U+1F415, U+1F41F, U+1F426, U+1F43F, U+1F441-1F442, U+1F444, U+1F446-1F449, U+1F44C-1F44E, U+1F453, U+1F46A, U+1F47D, U+1F4A3, U+1F4B0, U+1F4B3, U+1F4B9, U+1F4BB, U+1F4BF, U+1F4C8-1F4CB, U+1F4D6, U+1F4DA, U+1F4DF, U+1F4E3-1F4E6, U+1F4EA-1F4ED, U+1F4F7, U+1F4F9-1F4FB, U+1F4FD-1F4FE, U+1F503, U+1F507-1F50B, U+1F50D, U+1F512-1F513, U+1F53E-1F54A, U+1F54F-1F5FA, U+1F610, U+1F650-1F67F, U+1F687, U+1F68D, U+1F691, U+1F694, U+1F698, U+1F6AD, U+1F6B2, U+1F6B9-1F6BA, U+1F6BC, U+1F6C6-1F6CF, U+1F6D3-1F6D7, U+1F6E0-1F6EA, U+1F6F0-1F6F3, U+1F6F7-1F6FC, U+1F700-1F7FF, U+1F800-1F80B, U+1F810-1F847, U+1F850-1F859, U+1F860-1F887, U+1F890-1F8AD, U+1F8B0-1F8BB, U+1F8C0-1F8C1, U+1F900-1F90B, U+1F93B, U+1F946, U+1F984, U+1F996, U+1F9E9, U+1FA00-1FA6F, U+1FA70-1FA7C, U+1FA80-1FA89, U+1FA8F-1FAC6, U+1FACE-1FADC, U+1FADF-1FAE9, U+1FAF0-1FAF8, U+1FB00-1FBFF;
+}
+/* vietnamese */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 300;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkCXkaWzU.woff2) format('woff2');
+  unicode-range: U+0102-0103, U+0110-0111, U+0128-0129, U+0168-0169, U+01A0-01A1, U+01AF-01B0, U+0300-0301, U+0303-0304, U+0308-0309, U+0323, U+0329, U+1EA0-1EF9, U+20AB;
+}
+/* latin-ext */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 300;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkCHkaWzU.woff2) format('woff2');
+  unicode-range: U+0100-02BA, U+02BD-02C5, U+02C7-02CC, U+02CE-02D7, U+02DD-02FF, U+0304, U+0308, U+0329, U+1D00-1DBF, U+1E00-1E9F, U+1EF2-1EFF, U+2020, U+20A0-20AB, U+20AD-20C0, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+/* latin */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 300;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkBnka.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+0304, U+0308, U+0329, U+2000-206F, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+/* cyrillic-ext */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 400;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkC3kaWzU.woff2) format('woff2');
+  unicode-range: U+0460-052F, U+1C80-1C8A, U+20B4, U+2DE0-2DFF, U+A640-A69F, U+FE2E-FE2F;
+}
+/* cyrillic */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 400;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkAnkaWzU.woff2) format('woff2');
+  unicode-range: U+0301, U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116;
+}
+/* greek-ext */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 400;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkCnkaWzU.woff2) format('woff2');
+  unicode-range: U+1F00-1FFF;
+}
+/* greek */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 400;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkBXkaWzU.woff2) format('woff2');
+  unicode-range: U+0370-0377, U+037A-037F, U+0384-038A, U+038C, U+038E-03A1, U+03A3-03FF;
+}
+/* math */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 400;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkenkaWzU.woff2) format('woff2');
+  unicode-range: U+0302-0303, U+0305, U+0307-0308, U+0310, U+0312, U+0315, U+031A, U+0326-0327, U+032C, U+032F-0330, U+0332-0333, U+0338, U+033A, U+0346, U+034D, U+0391-03A1, U+03A3-03A9, U+03B1-03C9, U+03D1, U+03D5-03D6, U+03F0-03F1, U+03F4-03F5, U+2016-2017, U+2034-2038, U+203C, U+2040, U+2043, U+2047, U+2050, U+2057, U+205F, U+2070-2071, U+2074-208E, U+2090-209C, U+20D0-20DC, U+20E1, U+20E5-20EF, U+2100-2112, U+2114-2115, U+2117-2121, U+2123-214F, U+2190, U+2192, U+2194-21AE, U+21B0-21E5, U+21F1-21F2, U+21F4-2211, U+2213-2214, U+2216-22FF, U+2308-230B, U+2310, U+2319, U+231C-2321, U+2336-237A, U+237C, U+2395, U+239B-23B7, U+23D0, U+23DC-23E1, U+2474-2475, U+25AF, U+25B3, U+25B7, U+25BD, U+25C1, U+25CA, U+25CC, U+25FB, U+266D-266F, U+27C0-27FF, U+2900-2AFF, U+2B0E-2B11, U+2B30-2B4C, U+2BFE, U+3030, U+FF5B, U+FF5D, U+1D400-1D7FF, U+1EE00-1EEFF;
+}
+/* symbols */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 400;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkaHkaWzU.woff2) format('woff2');
+  unicode-range: U+0001-000C, U+000E-001F, U+007F-009F, U+20DD-20E0, U+20E2-20E4, U+2150-218F, U+2190, U+2192, U+2194-2199, U+21AF, U+21E6-21F0, U+21F3, U+2218-2219, U+2299, U+22C4-22C6, U+2300-243F, U+2440-244A, U+2460-24FF, U+25A0-27BF, U+2800-28FF, U+2921-2922, U+2981, U+29BF, U+29EB, U+2B00-2BFF, U+4DC0-4DFF, U+FFF9-FFFB, U+10140-1018E, U+10190-1019C, U+101A0, U+101D0-101FD, U+102E0-102FB, U+10E60-10E7E, U+1D2C0-1D2D3, U+1D2E0-1D37F, U+1F000-1F0FF, U+1F100-1F1AD, U+1F1E6-1F1FF, U+1F30D-1F30F, U+1F315, U+1F31C, U+1F31E, U+1F320-1F32C, U+1F336, U+1F378, U+1F37D, U+1F382, U+1F393-1F39F, U+1F3A7-1F3A8, U+1F3AC-1F3AF, U+1F3C2, U+1F3C4-1F3C6, U+1F3CA-1F3CE, U+1F3D4-1F3E0, U+1F3ED, U+1F3F1-1F3F3, U+1F3F5-1F3F7, U+1F408, U+1F415, U+1F41F, U+1F426, U+1F43F, U+1F441-1F442, U+1F444, U+1F446-1F449, U+1F44C-1F44E, U+1F453, U+1F46A, U+1F47D, U+1F4A3, U+1F4B0, U+1F4B3, U+1F4B9, U+1F4BB, U+1F4BF, U+1F4C8-1F4CB, U+1F4D6, U+1F4DA, U+1F4DF, U+1F4E3-1F4E6, U+1F4EA-1F4ED, U+1F4F7, U+1F4F9-1F4FB, U+1F4FD-1F4FE, U+1F503, U+1F507-1F50B, U+1F50D, U+1F512-1F513, U+1F53E-1F54A, U+1F54F-1F5FA, U+1F610, U+1F650-1F67F, U+1F687, U+1F68D, U+1F691, U+1F694, U+1F698, U+1F6AD, U+1F6B2, U+1F6B9-1F6BA, U+1F6BC, U+1F6C6-1F6CF, U+1F6D3-1F6D7, U+1F6E0-1F6EA, U+1F6F0-1F6F3, U+1F6F7-1F6FC, U+1F700-1F7FF, U+1F800-1F80B, U+1F810-1F847, U+1F850-1F859, U+1F860-1F887, U+1F890-1F8AD, U+1F8B0-1F8BB, U+1F8C0-1F8C1, U+1F900-1F90B, U+1F93B, U+1F946, U+1F984, U+1F996, U+1F9E9, U+1FA00-1FA6F, U+1FA70-1FA7C, U+1FA80-1FA89, U+1FA8F-1FAC6, U+1FACE-1FADC, U+1FADF-1FAE9, U+1FAF0-1FAF8, U+1FB00-1FBFF;
+}
+/* vietnamese */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 400;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkCXkaWzU.woff2) format('woff2');
+  unicode-range: U+0102-0103, U+0110-0111, U+0128-0129, U+0168-0169, U+01A0-01A1, U+01AF-01B0, U+0300-0301, U+0303-0304, U+0308-0309, U+0323, U+0329, U+1EA0-1EF9, U+20AB;
+}
+/* latin-ext */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 400;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkCHkaWzU.woff2) format('woff2');
+  unicode-range: U+0100-02BA, U+02BD-02C5, U+02C7-02CC, U+02CE-02D7, U+02DD-02FF, U+0304, U+0308, U+0329, U+1D00-1DBF, U+1E00-1E9F, U+1EF2-1EFF, U+2020, U+20A0-20AB, U+20AD-20C0, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+/* latin */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 400;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkBnka.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+0304, U+0308, U+0329, U+2000-206F, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+/* cyrillic-ext */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 700;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkC3kaWzU.woff2) format('woff2');
+  unicode-range: U+0460-052F, U+1C80-1C8A, U+20B4, U+2DE0-2DFF, U+A640-A69F, U+FE2E-FE2F;
+}
+/* cyrillic */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 700;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkAnkaWzU.woff2) format('woff2');
+  unicode-range: U+0301, U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116;
+}
+/* greek-ext */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 700;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkCnkaWzU.woff2) format('woff2');
+  unicode-range: U+1F00-1FFF;
+}
+/* greek */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 700;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkBXkaWzU.woff2) format('woff2');
+  unicode-range: U+0370-0377, U+037A-037F, U+0384-038A, U+038C, U+038E-03A1, U+03A3-03FF;
+}
+/* math */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 700;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkenkaWzU.woff2) format('woff2');
+  unicode-range: U+0302-0303, U+0305, U+0307-0308, U+0310, U+0312, U+0315, U+031A, U+0326-0327, U+032C, U+032F-0330, U+0332-0333, U+0338, U+033A, U+0346, U+034D, U+0391-03A1, U+03A3-03A9, U+03B1-03C9, U+03D1, U+03D5-03D6, U+03F0-03F1, U+03F4-03F5, U+2016-2017, U+2034-2038, U+203C, U+2040, U+2043, U+2047, U+2050, U+2057, U+205F, U+2070-2071, U+2074-208E, U+2090-209C, U+20D0-20DC, U+20E1, U+20E5-20EF, U+2100-2112, U+2114-2115, U+2117-2121, U+2123-214F, U+2190, U+2192, U+2194-21AE, U+21B0-21E5, U+21F1-21F2, U+21F4-2211, U+2213-2214, U+2216-22FF, U+2308-230B, U+2310, U+2319, U+231C-2321, U+2336-237A, U+237C, U+2395, U+239B-23B7, U+23D0, U+23DC-23E1, U+2474-2475, U+25AF, U+25B3, U+25B7, U+25BD, U+25C1, U+25CA, U+25CC, U+25FB, U+266D-266F, U+27C0-27FF, U+2900-2AFF, U+2B0E-2B11, U+2B30-2B4C, U+2BFE, U+3030, U+FF5B, U+FF5D, U+1D400-1D7FF, U+1EE00-1EEFF;
+}
+/* symbols */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 700;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkaHkaWzU.woff2) format('woff2');
+  unicode-range: U+0001-000C, U+000E-001F, U+007F-009F, U+20DD-20E0, U+20E2-20E4, U+2150-218F, U+2190, U+2192, U+2194-2199, U+21AF, U+21E6-21F0, U+21F3, U+2218-2219, U+2299, U+22C4-22C6, U+2300-243F, U+2440-244A, U+2460-24FF, U+25A0-27BF, U+2800-28FF, U+2921-2922, U+2981, U+29BF, U+29EB, U+2B00-2BFF, U+4DC0-4DFF, U+FFF9-FFFB, U+10140-1018E, U+10190-1019C, U+101A0, U+101D0-101FD, U+102E0-102FB, U+10E60-10E7E, U+1D2C0-1D2D3, U+1D2E0-1D37F, U+1F000-1F0FF, U+1F100-1F1AD, U+1F1E6-1F1FF, U+1F30D-1F30F, U+1F315, U+1F31C, U+1F31E, U+1F320-1F32C, U+1F336, U+1F378, U+1F37D, U+1F382, U+1F393-1F39F, U+1F3A7-1F3A8, U+1F3AC-1F3AF, U+1F3C2, U+1F3C4-1F3C6, U+1F3CA-1F3CE, U+1F3D4-1F3E0, U+1F3ED, U+1F3F1-1F3F3, U+1F3F5-1F3F7, U+1F408, U+1F415, U+1F41F, U+1F426, U+1F43F, U+1F441-1F442, U+1F444, U+1F446-1F449, U+1F44C-1F44E, U+1F453, U+1F46A, U+1F47D, U+1F4A3, U+1F4B0, U+1F4B3, U+1F4B9, U+1F4BB, U+1F4BF, U+1F4C8-1F4CB, U+1F4D6, U+1F4DA, U+1F4DF, U+1F4E3-1F4E6, U+1F4EA-1F4ED, U+1F4F7, U+1F4F9-1F4FB, U+1F4FD-1F4FE, U+1F503, U+1F507-1F50B, U+1F50D, U+1F512-1F513, U+1F53E-1F54A, U+1F54F-1F5FA, U+1F610, U+1F650-1F67F, U+1F687, U+1F68D, U+1F691, U+1F694, U+1F698, U+1F6AD, U+1F6B2, U+1F6B9-1F6BA, U+1F6BC, U+1F6C6-1F6CF, U+1F6D3-1F6D7, U+1F6E0-1F6EA, U+1F6F0-1F6F3, U+1F6F7-1F6FC, U+1F700-1F7FF, U+1F800-1F80B, U+1F810-1F847, U+1F850-1F859, U+1F860-1F887, U+1F890-1F8AD, U+1F8B0-1F8BB, U+1F8C0-1F8C1, U+1F900-1F90B, U+1F93B, U+1F946, U+1F984, U+1F996, U+1F9E9, U+1FA00-1FA6F, U+1FA70-1FA7C, U+1FA80-1FA89, U+1FA8F-1FAC6, U+1FACE-1FADC, U+1FADF-1FAE9, U+1FAF0-1FAF8, U+1FB00-1FBFF;
+}
+/* vietnamese */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 700;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkCXkaWzU.woff2) format('woff2');
+  unicode-range: U+0102-0103, U+0110-0111, U+0128-0129, U+0168-0169, U+01A0-01A1, U+01AF-01B0, U+0300-0301, U+0303-0304, U+0308-0309, U+0323, U+0329, U+1EA0-1EF9, U+20AB;
+}
+/* latin-ext */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 700;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkCHkaWzU.woff2) format('woff2');
+  unicode-range: U+0100-02BA, U+02BD-02C5, U+02C7-02CC, U+02CE-02D7, U+02DD-02FF, U+0304, U+0308, U+0329, U+1D00-1DBF, U+1E00-1E9F, U+1EF2-1EFF, U+2020, U+20A0-20AB, U+20AD-20C0, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+/* latin */
+@font-face {
+  font-family: 'Roboto';
+  font-style: italic;
+  font-weight: 700;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO5CnqEu92Fr1Mu53ZEC9_Vu3r1gIhOszmkBnka.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+0304, U+0308, U+0329, U+2000-206F, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+/* cyrillic-ext */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 300;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMa3GUBGEe.woff2) format('woff2');
+  unicode-range: U+0460-052F, U+1C80-1C8A, U+20B4, U+2DE0-2DFF, U+A640-A69F, U+FE2E-FE2F;
+}
+/* cyrillic */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 300;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMa3iUBGEe.woff2) format('woff2');
+  unicode-range: U+0301, U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116;
+}
+/* greek-ext */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 300;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMa3CUBGEe.woff2) format('woff2');
+  unicode-range: U+1F00-1FFF;
+}
+/* greek */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 300;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMa3-UBGEe.woff2) format('woff2');
+  unicode-range: U+0370-0377, U+037A-037F, U+0384-038A, U+038C, U+038E-03A1, U+03A3-03FF;
+}
+/* math */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 300;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMawCUBGEe.woff2) format('woff2');
+  unicode-range: U+0302-0303, U+0305, U+0307-0308, U+0310, U+0312, U+0315, U+031A, U+0326-0327, U+032C, U+032F-0330, U+0332-0333, U+0338, U+033A, U+0346, U+034D, U+0391-03A1, U+03A3-03A9, U+03B1-03C9, U+03D1, U+03D5-03D6, U+03F0-03F1, U+03F4-03F5, U+2016-2017, U+2034-2038, U+203C, U+2040, U+2043, U+2047, U+2050, U+2057, U+205F, U+2070-2071, U+2074-208E, U+2090-209C, U+20D0-20DC, U+20E1, U+20E5-20EF, U+2100-2112, U+2114-2115, U+2117-2121, U+2123-214F, U+2190, U+2192, U+2194-21AE, U+21B0-21E5, U+21F1-21F2, U+21F4-2211, U+2213-2214, U+2216-22FF, U+2308-230B, U+2310, U+2319, U+231C-2321, U+2336-237A, U+237C, U+2395, U+239B-23B7, U+23D0, U+23DC-23E1, U+2474-2475, U+25AF, U+25B3, U+25B7, U+25BD, U+25C1, U+25CA, U+25CC, U+25FB, U+266D-266F, U+27C0-27FF, U+2900-2AFF, U+2B0E-2B11, U+2B30-2B4C, U+2BFE, U+3030, U+FF5B, U+FF5D, U+1D400-1D7FF, U+1EE00-1EEFF;
+}
+/* symbols */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 300;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMaxKUBGEe.woff2) format('woff2');
+  unicode-range: U+0001-000C, U+000E-001F, U+007F-009F, U+20DD-20E0, U+20E2-20E4, U+2150-218F, U+2190, U+2192, U+2194-2199, U+21AF, U+21E6-21F0, U+21F3, U+2218-2219, U+2299, U+22C4-22C6, U+2300-243F, U+2440-244A, U+2460-24FF, U+25A0-27BF, U+2800-28FF, U+2921-2922, U+2981, U+29BF, U+29EB, U+2B00-2BFF, U+4DC0-4DFF, U+FFF9-FFFB, U+10140-1018E, U+10190-1019C, U+101A0, U+101D0-101FD, U+102E0-102FB, U+10E60-10E7E, U+1D2C0-1D2D3, U+1D2E0-1D37F, U+1F000-1F0FF, U+1F100-1F1AD, U+1F1E6-1F1FF, U+1F30D-1F30F, U+1F315, U+1F31C, U+1F31E, U+1F320-1F32C, U+1F336, U+1F378, U+1F37D, U+1F382, U+1F393-1F39F, U+1F3A7-1F3A8, U+1F3AC-1F3AF, U+1F3C2, U+1F3C4-1F3C6, U+1F3CA-1F3CE, U+1F3D4-1F3E0, U+1F3ED, U+1F3F1-1F3F3, U+1F3F5-1F3F7, U+1F408, U+1F415, U+1F41F, U+1F426, U+1F43F, U+1F441-1F442, U+1F444, U+1F446-1F449, U+1F44C-1F44E, U+1F453, U+1F46A, U+1F47D, U+1F4A3, U+1F4B0, U+1F4B3, U+1F4B9, U+1F4BB, U+1F4BF, U+1F4C8-1F4CB, U+1F4D6, U+1F4DA, U+1F4DF, U+1F4E3-1F4E6, U+1F4EA-1F4ED, U+1F4F7, U+1F4F9-1F4FB, U+1F4FD-1F4FE, U+1F503, U+1F507-1F50B, U+1F50D, U+1F512-1F513, U+1F53E-1F54A, U+1F54F-1F5FA, U+1F610, U+1F650-1F67F, U+1F687, U+1F68D, U+1F691, U+1F694, U+1F698, U+1F6AD, U+1F6B2, U+1F6B9-1F6BA, U+1F6BC, U+1F6C6-1F6CF, U+1F6D3-1F6D7, U+1F6E0-1F6EA, U+1F6F0-1F6F3, U+1F6F7-1F6FC, U+1F700-1F7FF, U+1F800-1F80B, U+1F810-1F847, U+1F850-1F859, U+1F860-1F887, U+1F890-1F8AD, U+1F8B0-1F8BB, U+1F8C0-1F8C1, U+1F900-1F90B, U+1F93B, U+1F946, U+1F984, U+1F996, U+1F9E9, U+1FA00-1FA6F, U+1FA70-1FA7C, U+1FA80-1FA89, U+1FA8F-1FAC6, U+1FACE-1FADC, U+1FADF-1FAE9, U+1FAF0-1FAF8, U+1FB00-1FBFF;
+}
+/* vietnamese */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 300;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMa3OUBGEe.woff2) format('woff2');
+  unicode-range: U+0102-0103, U+0110-0111, U+0128-0129, U+0168-0169, U+01A0-01A1, U+01AF-01B0, U+0300-0301, U+0303-0304, U+0308-0309, U+0323, U+0329, U+1EA0-1EF9, U+20AB;
+}
+/* latin-ext */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 300;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMa3KUBGEe.woff2) format('woff2');
+  unicode-range: U+0100-02BA, U+02BD-02C5, U+02C7-02CC, U+02CE-02D7, U+02DD-02FF, U+0304, U+0308, U+0329, U+1D00-1DBF, U+1E00-1E9F, U+1EF2-1EFF, U+2020, U+20A0-20AB, U+20AD-20C0, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+/* latin */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 300;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMa3yUBA.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+0304, U+0308, U+0329, U+2000-206F, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+/* cyrillic-ext */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 400;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMa3GUBGEe.woff2) format('woff2');
+  unicode-range: U+0460-052F, U+1C80-1C8A, U+20B4, U+2DE0-2DFF, U+A640-A69F, U+FE2E-FE2F;
+}
+/* cyrillic */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 400;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMa3iUBGEe.woff2) format('woff2');
+  unicode-range: U+0301, U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116;
+}
+/* greek-ext */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 400;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMa3CUBGEe.woff2) format('woff2');
+  unicode-range: U+1F00-1FFF;
+}
+/* greek */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 400;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMa3-UBGEe.woff2) format('woff2');
+  unicode-range: U+0370-0377, U+037A-037F, U+0384-038A, U+038C, U+038E-03A1, U+03A3-03FF;
+}
+/* math */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 400;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMawCUBGEe.woff2) format('woff2');
+  unicode-range: U+0302-0303, U+0305, U+0307-0308, U+0310, U+0312, U+0315, U+031A, U+0326-0327, U+032C, U+032F-0330, U+0332-0333, U+0338, U+033A, U+0346, U+034D, U+0391-03A1, U+03A3-03A9, U+03B1-03C9, U+03D1, U+03D5-03D6, U+03F0-03F1, U+03F4-03F5, U+2016-2017, U+2034-2038, U+203C, U+2040, U+2043, U+2047, U+2050, U+2057, U+205F, U+2070-2071, U+2074-208E, U+2090-209C, U+20D0-20DC, U+20E1, U+20E5-20EF, U+2100-2112, U+2114-2115, U+2117-2121, U+2123-214F, U+2190, U+2192, U+2194-21AE, U+21B0-21E5, U+21F1-21F2, U+21F4-2211, U+2213-2214, U+2216-22FF, U+2308-230B, U+2310, U+2319, U+231C-2321, U+2336-237A, U+237C, U+2395, U+239B-23B7, U+23D0, U+23DC-23E1, U+2474-2475, U+25AF, U+25B3, U+25B7, U+25BD, U+25C1, U+25CA, U+25CC, U+25FB, U+266D-266F, U+27C0-27FF, U+2900-2AFF, U+2B0E-2B11, U+2B30-2B4C, U+2BFE, U+3030, U+FF5B, U+FF5D, U+1D400-1D7FF, U+1EE00-1EEFF;
+}
+/* symbols */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 400;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMaxKUBGEe.woff2) format('woff2');
+  unicode-range: U+0001-000C, U+000E-001F, U+007F-009F, U+20DD-20E0, U+20E2-20E4, U+2150-218F, U+2190, U+2192, U+2194-2199, U+21AF, U+21E6-21F0, U+21F3, U+2218-2219, U+2299, U+22C4-22C6, U+2300-243F, U+2440-244A, U+2460-24FF, U+25A0-27BF, U+2800-28FF, U+2921-2922, U+2981, U+29BF, U+29EB, U+2B00-2BFF, U+4DC0-4DFF, U+FFF9-FFFB, U+10140-1018E, U+10190-1019C, U+101A0, U+101D0-101FD, U+102E0-102FB, U+10E60-10E7E, U+1D2C0-1D2D3, U+1D2E0-1D37F, U+1F000-1F0FF, U+1F100-1F1AD, U+1F1E6-1F1FF, U+1F30D-1F30F, U+1F315, U+1F31C, U+1F31E, U+1F320-1F32C, U+1F336, U+1F378, U+1F37D, U+1F382, U+1F393-1F39F, U+1F3A7-1F3A8, U+1F3AC-1F3AF, U+1F3C2, U+1F3C4-1F3C6, U+1F3CA-1F3CE, U+1F3D4-1F3E0, U+1F3ED, U+1F3F1-1F3F3, U+1F3F5-1F3F7, U+1F408, U+1F415, U+1F41F, U+1F426, U+1F43F, U+1F441-1F442, U+1F444, U+1F446-1F449, U+1F44C-1F44E, U+1F453, U+1F46A, U+1F47D, U+1F4A3, U+1F4B0, U+1F4B3, U+1F4B9, U+1F4BB, U+1F4BF, U+1F4C8-1F4CB, U+1F4D6, U+1F4DA, U+1F4DF, U+1F4E3-1F4E6, U+1F4EA-1F4ED, U+1F4F7, U+1F4F9-1F4FB, U+1F4FD-1F4FE, U+1F503, U+1F507-1F50B, U+1F50D, U+1F512-1F513, U+1F53E-1F54A, U+1F54F-1F5FA, U+1F610, U+1F650-1F67F, U+1F687, U+1F68D, U+1F691, U+1F694, U+1F698, U+1F6AD, U+1F6B2, U+1F6B9-1F6BA, U+1F6BC, U+1F6C6-1F6CF, U+1F6D3-1F6D7, U+1F6E0-1F6EA, U+1F6F0-1F6F3, U+1F6F7-1F6FC, U+1F700-1F7FF, U+1F800-1F80B, U+1F810-1F847, U+1F850-1F859, U+1F860-1F887, U+1F890-1F8AD, U+1F8B0-1F8BB, U+1F8C0-1F8C1, U+1F900-1F90B, U+1F93B, U+1F946, U+1F984, U+1F996, U+1F9E9, U+1FA00-1FA6F, U+1FA70-1FA7C, U+1FA80-1FA89, U+1FA8F-1FAC6, U+1FACE-1FADC, U+1FADF-1FAE9, U+1FAF0-1FAF8, U+1FB00-1FBFF;
+}
+/* vietnamese */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 400;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMa3OUBGEe.woff2) format('woff2');
+  unicode-range: U+0102-0103, U+0110-0111, U+0128-0129, U+0168-0169, U+01A0-01A1, U+01AF-01B0, U+0300-0301, U+0303-0304, U+0308-0309, U+0323, U+0329, U+1EA0-1EF9, U+20AB;
+}
+/* latin-ext */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 400;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMa3KUBGEe.woff2) format('woff2');
+  unicode-range: U+0100-02BA, U+02BD-02C5, U+02C7-02CC, U+02CE-02D7, U+02DD-02FF, U+0304, U+0308, U+0329, U+1D00-1DBF, U+1E00-1E9F, U+1EF2-1EFF, U+2020, U+20A0-20AB, U+20AD-20C0, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+/* latin */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 400;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMa3yUBA.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+0304, U+0308, U+0329, U+2000-206F, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+/* cyrillic-ext */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 700;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMa3GUBGEe.woff2) format('woff2');
+  unicode-range: U+0460-052F, U+1C80-1C8A, U+20B4, U+2DE0-2DFF, U+A640-A69F, U+FE2E-FE2F;
+}
+/* cyrillic */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 700;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMa3iUBGEe.woff2) format('woff2');
+  unicode-range: U+0301, U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116;
+}
+/* greek-ext */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 700;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMa3CUBGEe.woff2) format('woff2');
+  unicode-range: U+1F00-1FFF;
+}
+/* greek */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 700;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMa3-UBGEe.woff2) format('woff2');
+  unicode-range: U+0370-0377, U+037A-037F, U+0384-038A, U+038C, U+038E-03A1, U+03A3-03FF;
+}
+/* math */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 700;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMawCUBGEe.woff2) format('woff2');
+  unicode-range: U+0302-0303, U+0305, U+0307-0308, U+0310, U+0312, U+0315, U+031A, U+0326-0327, U+032C, U+032F-0330, U+0332-0333, U+0338, U+033A, U+0346, U+034D, U+0391-03A1, U+03A3-03A9, U+03B1-03C9, U+03D1, U+03D5-03D6, U+03F0-03F1, U+03F4-03F5, U+2016-2017, U+2034-2038, U+203C, U+2040, U+2043, U+2047, U+2050, U+2057, U+205F, U+2070-2071, U+2074-208E, U+2090-209C, U+20D0-20DC, U+20E1, U+20E5-20EF, U+2100-2112, U+2114-2115, U+2117-2121, U+2123-214F, U+2190, U+2192, U+2194-21AE, U+21B0-21E5, U+21F1-21F2, U+21F4-2211, U+2213-2214, U+2216-22FF, U+2308-230B, U+2310, U+2319, U+231C-2321, U+2336-237A, U+237C, U+2395, U+239B-23B7, U+23D0, U+23DC-23E1, U+2474-2475, U+25AF, U+25B3, U+25B7, U+25BD, U+25C1, U+25CA, U+25CC, U+25FB, U+266D-266F, U+27C0-27FF, U+2900-2AFF, U+2B0E-2B11, U+2B30-2B4C, U+2BFE, U+3030, U+FF5B, U+FF5D, U+1D400-1D7FF, U+1EE00-1EEFF;
+}
+/* symbols */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 700;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMaxKUBGEe.woff2) format('woff2');
+  unicode-range: U+0001-000C, U+000E-001F, U+007F-009F, U+20DD-20E0, U+20E2-20E4, U+2150-218F, U+2190, U+2192, U+2194-2199, U+21AF, U+21E6-21F0, U+21F3, U+2218-2219, U+2299, U+22C4-22C6, U+2300-243F, U+2440-244A, U+2460-24FF, U+25A0-27BF, U+2800-28FF, U+2921-2922, U+2981, U+29BF, U+29EB, U+2B00-2BFF, U+4DC0-4DFF, U+FFF9-FFFB, U+10140-1018E, U+10190-1019C, U+101A0, U+101D0-101FD, U+102E0-102FB, U+10E60-10E7E, U+1D2C0-1D2D3, U+1D2E0-1D37F, U+1F000-1F0FF, U+1F100-1F1AD, U+1F1E6-1F1FF, U+1F30D-1F30F, U+1F315, U+1F31C, U+1F31E, U+1F320-1F32C, U+1F336, U+1F378, U+1F37D, U+1F382, U+1F393-1F39F, U+1F3A7-1F3A8, U+1F3AC-1F3AF, U+1F3C2, U+1F3C4-1F3C6, U+1F3CA-1F3CE, U+1F3D4-1F3E0, U+1F3ED, U+1F3F1-1F3F3, U+1F3F5-1F3F7, U+1F408, U+1F415, U+1F41F, U+1F426, U+1F43F, U+1F441-1F442, U+1F444, U+1F446-1F449, U+1F44C-1F44E, U+1F453, U+1F46A, U+1F47D, U+1F4A3, U+1F4B0, U+1F4B3, U+1F4B9, U+1F4BB, U+1F4BF, U+1F4C8-1F4CB, U+1F4D6, U+1F4DA, U+1F4DF, U+1F4E3-1F4E6, U+1F4EA-1F4ED, U+1F4F7, U+1F4F9-1F4FB, U+1F4FD-1F4FE, U+1F503, U+1F507-1F50B, U+1F50D, U+1F512-1F513, U+1F53E-1F54A, U+1F54F-1F5FA, U+1F610, U+1F650-1F67F, U+1F687, U+1F68D, U+1F691, U+1F694, U+1F698, U+1F6AD, U+1F6B2, U+1F6B9-1F6BA, U+1F6BC, U+1F6C6-1F6CF, U+1F6D3-1F6D7, U+1F6E0-1F6EA, U+1F6F0-1F6F3, U+1F6F7-1F6FC, U+1F700-1F7FF, U+1F800-1F80B, U+1F810-1F847, U+1F850-1F859, U+1F860-1F887, U+1F890-1F8AD, U+1F8B0-1F8BB, U+1F8C0-1F8C1, U+1F900-1F90B, U+1F93B, U+1F946, U+1F984, U+1F996, U+1F9E9, U+1FA00-1FA6F, U+1FA70-1FA7C, U+1FA80-1FA89, U+1FA8F-1FAC6, U+1FACE-1FADC, U+1FADF-1FAE9, U+1FAF0-1FAF8, U+1FB00-1FBFF;
+}
+/* vietnamese */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 700;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMa3OUBGEe.woff2) format('woff2');
+  unicode-range: U+0102-0103, U+0110-0111, U+0128-0129, U+0168-0169, U+01A0-01A1, U+01AF-01B0, U+0300-0301, U+0303-0304, U+0308-0309, U+0323, U+0329, U+1EA0-1EF9, U+20AB;
+}
+/* latin-ext */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 700;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMa3KUBGEe.woff2) format('woff2');
+  unicode-range: U+0100-02BA, U+02BD-02C5, U+02C7-02CC, U+02CE-02D7, U+02DD-02FF, U+0304, U+0308, U+0329, U+1D00-1DBF, U+1E00-1E9F, U+1EF2-1EFF, U+2020, U+20A0-20AB, U+20AD-20C0, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+/* latin */
+@font-face {
+  font-family: 'Roboto';
+  font-style: normal;
+  font-weight: 700;
+  font-stretch: 100%;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/roboto/v51/KFO7CnqEu92Fr1ME7kSn66aGLdTylUAMa3yUBA.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+0304, U+0308, U+0329, U+2000-206F, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+/* cyrillic-ext */
+@font-face {
+  font-family: 'Roboto Mono';
+  font-style: italic;
+  font-weight: 400;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/robotomono/v31/L0x7DF4xlVMF-BfR8bXMIjhOm3CWWoKC.woff2) format('woff2');
+  unicode-range: U+0460-052F, U+1C80-1C8A, U+20B4, U+2DE0-2DFF, U+A640-A69F, U+FE2E-FE2F;
+}
+/* cyrillic */
+@font-face {
+  font-family: 'Roboto Mono';
+  font-style: italic;
+  font-weight: 400;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/robotomono/v31/L0x7DF4xlVMF-BfR8bXMIjhOm3mWWoKC.woff2) format('woff2');
+  unicode-range: U+0301, U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116;
+}
+/* greek */
+@font-face {
+  font-family: 'Roboto Mono';
+  font-style: italic;
+  font-weight: 400;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/robotomono/v31/L0x7DF4xlVMF-BfR8bXMIjhOm36WWoKC.woff2) format('woff2');
+  unicode-range: U+0370-0377, U+037A-037F, U+0384-038A, U+038C, U+038E-03A1, U+03A3-03FF;
+}
+/* vietnamese */
+@font-face {
+  font-family: 'Roboto Mono';
+  font-style: italic;
+  font-weight: 400;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/robotomono/v31/L0x7DF4xlVMF-BfR8bXMIjhOm3KWWoKC.woff2) format('woff2');
+  unicode-range: U+0102-0103, U+0110-0111, U+0128-0129, U+0168-0169, U+01A0-01A1, U+01AF-01B0, U+0300-0301, U+0303-0304, U+0308-0309, U+0323, U+0329, U+1EA0-1EF9, U+20AB;
+}
+/* latin-ext */
+@font-face {
+  font-family: 'Roboto Mono';
+  font-style: italic;
+  font-weight: 400;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/robotomono/v31/L0x7DF4xlVMF-BfR8bXMIjhOm3OWWoKC.woff2) format('woff2');
+  unicode-range: U+0100-02BA, U+02BD-02C5, U+02C7-02CC, U+02CE-02D7, U+02DD-02FF, U+0304, U+0308, U+0329, U+1D00-1DBF, U+1E00-1E9F, U+1EF2-1EFF, U+2020, U+20A0-20AB, U+20AD-20C0, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+/* latin */
+@font-face {
+  font-family: 'Roboto Mono';
+  font-style: italic;
+  font-weight: 400;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/robotomono/v31/L0x7DF4xlVMF-BfR8bXMIjhOm32WWg.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+0304, U+0308, U+0329, U+2000-206F, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+/* cyrillic-ext */
+@font-face {
+  font-family: 'Roboto Mono';
+  font-style: italic;
+  font-weight: 700;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/robotomono/v31/L0x7DF4xlVMF-BfR8bXMIjhOm3CWWoKC.woff2) format('woff2');
+  unicode-range: U+0460-052F, U+1C80-1C8A, U+20B4, U+2DE0-2DFF, U+A640-A69F, U+FE2E-FE2F;
+}
+/* cyrillic */
+@font-face {
+  font-family: 'Roboto Mono';
+  font-style: italic;
+  font-weight: 700;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/robotomono/v31/L0x7DF4xlVMF-BfR8bXMIjhOm3mWWoKC.woff2) format('woff2');
+  unicode-range: U+0301, U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116;
+}
+/* greek */
+@font-face {
+  font-family: 'Roboto Mono';
+  font-style: italic;
+  font-weight: 700;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/robotomono/v31/L0x7DF4xlVMF-BfR8bXMIjhOm36WWoKC.woff2) format('woff2');
+  unicode-range: U+0370-0377, U+037A-037F, U+0384-038A, U+038C, U+038E-03A1, U+03A3-03FF;
+}
+/* vietnamese */
+@font-face {
+  font-family: 'Roboto Mono';
+  font-style: italic;
+  font-weight: 700;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/robotomono/v31/L0x7DF4xlVMF-BfR8bXMIjhOm3KWWoKC.woff2) format('woff2');
+  unicode-range: U+0102-0103, U+0110-0111, U+0128-0129, U+0168-0169, U+01A0-01A1, U+01AF-01B0, U+0300-0301, U+0303-0304, U+0308-0309, U+0323, U+0329, U+1EA0-1EF9, U+20AB;
+}
+/* latin-ext */
+@font-face {
+  font-family: 'Roboto Mono';
+  font-style: italic;
+  font-weight: 700;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/robotomono/v31/L0x7DF4xlVMF-BfR8bXMIjhOm3OWWoKC.woff2) format('woff2');
+  unicode-range: U+0100-02BA, U+02BD-02C5, U+02C7-02CC, U+02CE-02D7, U+02DD-02FF, U+0304, U+0308, U+0329, U+1D00-1DBF, U+1E00-1E9F, U+1EF2-1EFF, U+2020, U+20A0-20AB, U+20AD-20C0, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+/* latin */
+@font-face {
+  font-family: 'Roboto Mono';
+  font-style: italic;
+  font-weight: 700;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/robotomono/v31/L0x7DF4xlVMF-BfR8bXMIjhOm32WWg.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+0304, U+0308, U+0329, U+2000-206F, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+/* cyrillic-ext */
+@font-face {
+  font-family: 'Roboto Mono';
+  font-style: normal;
+  font-weight: 400;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/robotomono/v31/L0x5DF4xlVMF-BfR8bXMIjhGq3-OXg.woff2) format('woff2');
+  unicode-range: U+0460-052F, U+1C80-1C8A, U+20B4, U+2DE0-2DFF, U+A640-A69F, U+FE2E-FE2F;
+}
+/* cyrillic */
+@font-face {
+  font-family: 'Roboto Mono';
+  font-style: normal;
+  font-weight: 400;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/robotomono/v31/L0x5DF4xlVMF-BfR8bXMIjhPq3-OXg.woff2) format('woff2');
+  unicode-range: U+0301, U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116;
+}
+/* greek */
+@font-face {
+  font-family: 'Roboto Mono';
+  font-style: normal;
+  font-weight: 400;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/robotomono/v31/L0x5DF4xlVMF-BfR8bXMIjhIq3-OXg.woff2) format('woff2');
+  unicode-range: U+0370-0377, U+037A-037F, U+0384-038A, U+038C, U+038E-03A1, U+03A3-03FF;
+}
+/* vietnamese */
+@font-face {
+  font-family: 'Roboto Mono';
+  font-style: normal;
+  font-weight: 400;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/robotomono/v31/L0x5DF4xlVMF-BfR8bXMIjhEq3-OXg.woff2) format('woff2');
+  unicode-range: U+0102-0103, U+0110-0111, U+0128-0129, U+0168-0169, U+01A0-01A1, U+01AF-01B0, U+0300-0301, U+0303-0304, U+0308-0309, U+0323, U+0329, U+1EA0-1EF9, U+20AB;
+}
+/* latin-ext */
+@font-face {
+  font-family: 'Roboto Mono';
+  font-style: normal;
+  font-weight: 400;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/robotomono/v31/L0x5DF4xlVMF-BfR8bXMIjhFq3-OXg.woff2) format('woff2');
+  unicode-range: U+0100-02BA, U+02BD-02C5, U+02C7-02CC, U+02CE-02D7, U+02DD-02FF, U+0304, U+0308, U+0329, U+1D00-1DBF, U+1E00-1E9F, U+1EF2-1EFF, U+2020, U+20A0-20AB, U+20AD-20C0, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+/* latin */
+@font-face {
+  font-family: 'Roboto Mono';
+  font-style: normal;
+  font-weight: 400;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/robotomono/v31/L0x5DF4xlVMF-BfR8bXMIjhLq38.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+0304, U+0308, U+0329, U+2000-206F, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
+/* cyrillic-ext */
+@font-face {
+  font-family: 'Roboto Mono';
+  font-style: normal;
+  font-weight: 700;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/robotomono/v31/L0x5DF4xlVMF-BfR8bXMIjhGq3-OXg.woff2) format('woff2');
+  unicode-range: U+0460-052F, U+1C80-1C8A, U+20B4, U+2DE0-2DFF, U+A640-A69F, U+FE2E-FE2F;
+}
+/* cyrillic */
+@font-face {
+  font-family: 'Roboto Mono';
+  font-style: normal;
+  font-weight: 700;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/robotomono/v31/L0x5DF4xlVMF-BfR8bXMIjhPq3-OXg.woff2) format('woff2');
+  unicode-range: U+0301, U+0400-045F, U+0490-0491, U+04B0-04B1, U+2116;
+}
+/* greek */
+@font-face {
+  font-family: 'Roboto Mono';
+  font-style: normal;
+  font-weight: 700;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/robotomono/v31/L0x5DF4xlVMF-BfR8bXMIjhIq3-OXg.woff2) format('woff2');
+  unicode-range: U+0370-0377, U+037A-037F, U+0384-038A, U+038C, U+038E-03A1, U+03A3-03FF;
+}
+/* vietnamese */
+@font-face {
+  font-family: 'Roboto Mono';
+  font-style: normal;
+  font-weight: 700;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/robotomono/v31/L0x5DF4xlVMF-BfR8bXMIjhEq3-OXg.woff2) format('woff2');
+  unicode-range: U+0102-0103, U+0110-0111, U+0128-0129, U+0168-0169, U+01A0-01A1, U+01AF-01B0, U+0300-0301, U+0303-0304, U+0308-0309, U+0323, U+0329, U+1EA0-1EF9, U+20AB;
+}
+/* latin-ext */
+@font-face {
+  font-family: 'Roboto Mono';
+  font-style: normal;
+  font-weight: 700;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/robotomono/v31/L0x5DF4xlVMF-BfR8bXMIjhFq3-OXg.woff2) format('woff2');
+  unicode-range: U+0100-02BA, U+02BD-02C5, U+02C7-02CC, U+02CE-02D7, U+02DD-02FF, U+0304, U+0308, U+0329, U+1D00-1DBF, U+1E00-1E9F, U+1EF2-1EFF, U+2020, U+20A0-20AB, U+20AD-20C0, U+2113, U+2C60-2C7F, U+A720-A7FF;
+}
+/* latin */
+@font-face {
+  font-family: 'Roboto Mono';
+  font-style: normal;
+  font-weight: 700;
+  font-display: fallback;
+  src: url(https://fonts.gstatic.com/s/robotomono/v31/L0x5DF4xlVMF-BfR8bXMIjhLq38.woff2) format('woff2');
+  unicode-range: U+0000-00FF, U+0131, U+0152-0153, U+02BB-02BC, U+02C6, U+02DA, U+02DC, U+0304, U+0308, U+0329, U+2000-206F, U+20AC, U+2122, U+2191, U+2193, U+2212, U+2215, U+FEFF, U+FFFD;
+}
diff --git a/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/custom.00c04c01.min.css b/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/custom.00c04c01.min.css
new file mode 100644
index 0000000..9fb02e0
--- /dev/null
+++ b/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/custom.00c04c01.min.css	
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/extra.css b/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/extra.css
new file mode 100644
index 0000000..b829f2c
--- /dev/null
+++ b/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/extra.css	
@@ -0,0 +1,11 @@
+.md-header{
+    background-color:#172360 !important;
+}
+.md-typeset mark{
+    background-color:blue;
+    color: #fff;
+}
+.md-typeset table:not([class]) td{
+    vertical-align: middle;
+    word-break: break-all;
+}
diff --git a/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/glightbox.min.css b/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/glightbox.min.css
new file mode 100644
index 0000000..3c9ff87
--- /dev/null
+++ b/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/glightbox.min.css	
@@ -0,0 +1 @@
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diff --git a/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/glightbox.min.js b/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/glightbox.min.js
new file mode 100644
index 0000000..8577e3c
--- /dev/null
+++ b/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/glightbox.min.js	
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window.innerWidth||document.documentElement.clientWidth||document.body.clientWidth}}]),N=i((function t(){var i=this,n=arguments.length>0&&void 0!==arguments[0]?arguments[0]:{};e(this,t);var s=n.dragEl,l=n.toleranceX,o=void 0===l?40:l,r=n.toleranceY,a=void 0===r?65:r,h=n.slide,d=void 0===h?null:h,c=n.instance,u=void 0===c?null:c;this.el=s,this.active=!1,this.dragging=!1,this.currentX=null,this.currentY=null,this.initialX=null,this.initialY=null,this.xOffset=0,this.yOffset=0,this.direction=null,this.lastDirection=null,this.toleranceX=o,this.toleranceY=a,this.toleranceReached=!1,this.dragContainer=this.el,this.slide=d,this.instance=u,this.el.addEventListener("mousedown",(function(e){return i.dragStart(e)}),!1),this.el.addEventListener("mouseup",(function(e){return i.dragEnd(e)}),!1),this.el.addEventListener("mousemove",(function(e){return i.drag(e)}),!1)}),[{key:"dragStart",value:function(e){if(this.slide.classList.contains("zoomed"))this.active=!1;else{"touchstart"===e.type?(this.initialX=e.touches[0].clientX-this.xOffset,this.initialY=e.touches[0].clientY-this.yOffset):(this.initialX=e.clientX-this.xOffset,this.initialY=e.clientY-this.yOffset);var t=e.target.nodeName.toLowerCase();e.target.classList.contains("nodrag")||g(e.target,".nodrag")||-1!==["input","select","textarea","button","a"].indexOf(t)?this.active=!1:(e.preventDefault(),(e.target===this.el||"img"!==t&&g(e.target,".gslide-inline"))&&(this.active=!0,this.el.classList.add("dragging"),this.dragContainer=g(e.target,".ginner-container")))}}},{key:"dragEnd",value:function(e){var t=this;e&&e.preventDefault(),this.initialX=0,this.initialY=0,this.currentX=null,this.currentY=null,this.initialX=null,this.initialY=null,this.xOffset=0,this.yOffset=0,this.active=!1,this.doSlideChange&&(this.instance.preventOutsideClick=!0,"right"==this.doSlideChange&&this.instance.prevSlide(),"left"==this.doSlideChange&&this.instance.nextSlide()),this.doSlideClose&&this.instance.close(),this.toleranceReached||this.setTranslate(this.dragContainer,0,0,!0),setTimeout((function(){t.instance.preventOutsideClick=!1,t.toleranceReached=!1,t.lastDirection=null,t.dragging=!1,t.el.isDragging=!1,t.el.classList.remove("dragging"),t.slide.classList.remove("dragging-nav"),t.dragContainer.style.transform="",t.dragContainer.style.transition=""}),100)}},{key:"drag",value:function(e){if(this.active){e.preventDefault(),this.slide.classList.add("dragging-nav"),"touchmove"===e.type?(this.currentX=e.touches[0].clientX-this.initialX,this.currentY=e.touches[0].clientY-this.initialY):(this.currentX=e.clientX-this.initialX,this.currentY=e.clientY-this.initialY),this.xOffset=this.currentX,this.yOffset=this.currentY,this.el.isDragging=!0,this.dragging=!0,this.doSlideChange=!1,this.doSlideClose=!1;var t=Math.abs(this.currentX),i=Math.abs(this.currentY);if(t>0&&t>=Math.abs(this.currentY)&&(!this.lastDirection||"x"==this.lastDirection)){this.yOffset=0,this.lastDirection="x",this.setTranslate(this.dragContainer,this.currentX,0);var n=this.shouldChange();if(!this.instance.settings.dragAutoSnap&&n&&(this.doSlideChange=n),this.instance.settings.dragAutoSnap&&n)return this.instance.preventOutsideClick=!0,this.toleranceReached=!0,this.active=!1,this.instance.preventOutsideClick=!0,this.dragEnd(null),"right"==n&&this.instance.prevSlide(),void("left"==n&&this.instance.nextSlide())}if(this.toleranceY>0&&i>0&&i>=t&&(!this.lastDirection||"y"==this.lastDirection)){this.xOffset=0,this.lastDirection="y",this.setTranslate(this.dragContainer,0,this.currentY);var s=this.shouldClose();return!this.instance.settings.dragAutoSnap&&s&&(this.doSlideClose=!0),void(this.instance.settings.dragAutoSnap&&s&&this.instance.close())}}}},{key:"shouldChange",value:function(){var e=!1;if(Math.abs(this.currentX)>=this.toleranceX){var t=this.currentX>0?"right":"left";("left"==t&&this.slide!==this.slide.parentNode.lastChild||"right"==t&&this.slide!==this.slide.parentNode.firstChild)&&(e=t)}return e}},{key:"shouldClose",value:function(){var e=!1;return Math.abs(this.currentY)>=this.toleranceY&&(e=!0),e}},{key:"setTranslate",value:function(e,t,i){var n=arguments.length>3&&void 0!==arguments[3]&&arguments[3];e.style.transition=n?"all .2s ease":"",e.style.transform="translate3d(".concat(t,"px, ").concat(i,"px, 0)")}}]);function D(e,t,i,n){var s=e.querySelector(".gslide-media"),l=new Image,o="gSlideTitle_"+i,r="gSlideDesc_"+i;l.addEventListener("load",(function(){C(n)&&n()}),!1),l.src=t.href,""!=t.sizes&&""!=t.srcset&&(l.sizes=t.sizes,l.srcset=t.srcset),l.alt="",O(t.alt)||""===t.alt||(l.alt=t.alt),""!==t.title&&l.setAttribute("aria-labelledby",o),""!==t.description&&l.setAttribute("aria-describedby",r),t.hasOwnProperty("_hasCustomWidth")&&t._hasCustomWidth&&(l.style.width=t.width),t.hasOwnProperty("_hasCustomHeight")&&t._hasCustomHeight&&(l.style.height=t.height),s.insertBefore(l,s.firstChild)}function _(e,t,i,n){var s=this,l=e.querySelector(".ginner-container"),o="gvideo"+i,r=e.querySelector(".gslide-media"),a=this.getAllPlayers();d(l,"gvideo-container"),r.insertBefore(y('
'),r.firstChild);var h=e.querySelector(".gvideo-wrapper");w(this.settings.plyr.css,"Plyr");var c=t.href,u=null==t?void 0:t.videoProvider,g=!1;r.style.maxWidth=t.width,w(this.settings.plyr.js,"Plyr",(function(){if(!u&&c.match(/vimeo\.com\/([0-9]*)/)&&(u="vimeo"),!u&&(c.match(/(youtube\.com|youtube-nocookie\.com)\/watch\?v=([a-zA-Z0-9\-_]+)/)||c.match(/youtu\.be\/([a-zA-Z0-9\-_]+)/)||c.match(/(youtube\.com|youtube-nocookie\.com)\/embed\/([a-zA-Z0-9\-_]+)/)||c.match(/(youtube\.com|youtube-nocookie\.com)\/shorts\/([a-zA-Z0-9\-_]+)/))&&(u="youtube"),"local"===u||!u){u="local";var l='")}var r=g||y('
'));d(h,"".concat(u,"-video gvideo")),h.appendChild(r),h.setAttribute("data-id",o),h.setAttribute("data-index",i);var v=P(s.settings.plyr,"config")?s.settings.plyr.config:{},f=new Plyr("#"+o,v);f.on("ready",(function(e){a[o]=e.detail.plyr,C(n)&&n()})),S((function(){return e.querySelector("iframe")&&"true"==e.querySelector("iframe").dataset.ready}),(function(){s.resize(e)})),f.on("enterfullscreen",W),f.on("exitfullscreen",W)}))}function W(e){var t=g(e.target,".gslide-media");"enterfullscreen"===e.type&&d(t,"fullscreen"),"exitfullscreen"===e.type&&c(t,"fullscreen")}function B(e,t,i,n){var s,l=this,o=e.querySelector(".gslide-media"),r=!(!P(t,"href")||!t.href)&&t.href.split("#").pop().trim(),a=!(!P(t,"content")||!t.content)&&t.content;if(a&&(k(a)&&(s=y('
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"))),E(a))){"none"==a.style.display&&(a.style.display="block");var c=document.createElement("div");c.className="ginlined-content",c.appendChild(a),s=c}if(r){var u=document.getElementById(r);if(!u)return!1;var g=u.cloneNode(!0);g.style.height=t.height,g.style.maxWidth=t.width,d(g,"ginlined-content"),s=g}if(!s)return console.error("Unable to append inline slide content",t),!1;o.style.height=t.height,o.style.width=t.width,o.appendChild(s),this.events["inlineclose"+r]=h("click",{onElement:o.querySelectorAll(".gtrigger-close"),withCallback:function(e){e.preventDefault(),l.close()}}),C(n)&&n()}function H(e,t,i,n){var s=e.querySelector(".gslide-media"),l=function(e){var t=e.url,i=e.allow,n=e.callback,s=e.appendTo,l=document.createElement("iframe");return l.className="vimeo-video gvideo",l.src=t,l.style.width="100%",l.style.height="100%",i&&l.setAttribute("allow",i),l.onload=function(){l.onload=null,d(l,"node-ready"),C(n)&&n()},s&&s.appendChild(l),l}({url:t.href,callback:n});s.parentNode.style.maxWidth=t.width,s.parentNode.style.height=t.height,s.appendChild(l)}var j=i((function t(){var i=arguments.length>0&&void 0!==arguments[0]?arguments[0]:{};e(this,t),this.defaults={href:"",sizes:"",srcset:"",title:"",type:"",videoProvider:"",description:"",alt:"",descPosition:"bottom",effect:"",width:"",height:"",content:!1,zoomable:!0,draggable:!0},I(i)&&(this.defaults=o(this.defaults,i))}),[{key:"sourceType",value:function(e){var t=e;return null!==(e=e.toLowerCase()).match(/\.(jpeg|jpg|jpe|gif|png|apn|webp|avif|svg)/)?"image":e.match(/(youtube\.com|youtube-nocookie\.com)\/watch\?v=([a-zA-Z0-9\-_]+)/)||e.match(/youtu\.be\/([a-zA-Z0-9\-_]+)/)||e.match(/(youtube\.com|youtube-nocookie\.com)\/embed\/([a-zA-Z0-9\-_]+)/)||e.match(/(youtube\.com|youtube-nocookie\.com)\/shorts\/([a-zA-Z0-9\-_]+)/)||e.match(/vimeo\.com\/([0-9]*)/)||null!==e.match(/\.(mp4|ogg|webm|mov)/)?"video":null!==e.match(/\.(mp3|wav|wma|aac|ogg)/)?"audio":e.indexOf("#")>-1&&""!==t.split("#").pop().trim()?"inline":e.indexOf("goajax=true")>-1?"ajax":"external"}},{key:"parseConfig",value:function(e,t){var i=this,n=o({descPosition:t.descPosition},this.defaults);if(I(e)&&!E(e)){P(e,"type")||(P(e,"content")&&e.content?e.type="inline":P(e,"href")&&(e.type=this.sourceType(e.href)));var s=o(n,e);return this.setSize(s,t),s}var l="",a=e.getAttribute("data-glightbox"),h=e.nodeName.toLowerCase();if("a"===h&&(l=e.href),"img"===h&&(l=e.src,n.alt=e.alt),n.href=l,r(n,(function(s,l){P(t,l)&&"width"!==l&&(n[l]=t[l]);var o=e.dataset[l];O(o)||(n[l]=i.sanitizeValue(o))})),n.content&&(n.type="inline"),!n.type&&l&&(n.type=this.sourceType(l)),O(a)){if(!n.title&&"a"==h){var d=e.title;O(d)||""===d||(n.title=d)}if(!n.title&&"img"==h){var c=e.alt;O(c)||""===c||(n.title=c)}}else{var u=[];r(n,(function(e,t){u.push(";\\s?"+t)})),u=u.join("\\s?:|"),""!==a.trim()&&r(n,(function(e,t){var s=a,l=new RegExp("s?"+t+"s?:s?(.*?)("+u+"s?:|$)"),o=s.match(l);if(o&&o.length&&o[1]){var r=o[1].trim().replace(/;\s*$/,"");n[t]=i.sanitizeValue(r)}}))}if(n.description&&"."===n.description.substring(0,1)){var g;try{g=document.querySelector(n.description).innerHTML}catch(e){if(!(e instanceof DOMException))throw e}g&&(n.description=g)}if(!n.description){var v=e.querySelector(".glightbox-desc");v&&(n.description=v.innerHTML)}return this.setSize(n,t,e),this.slideConfig=n,n}},{key:"setSize",value:function(e,t){var i=arguments.length>2&&void 0!==arguments[2]?arguments[2]:null,n="video"==e.type?this.checkSize(t.videosWidth):this.checkSize(t.width),s=this.checkSize(t.height);return e.width=P(e,"width")&&""!==e.width?this.checkSize(e.width):n,e.height=P(e,"height")&&""!==e.height?this.checkSize(e.height):s,i&&"image"==e.type&&(e._hasCustomWidth=!!i.dataset.width,e._hasCustomHeight=!!i.dataset.height),e}},{key:"checkSize",value:function(e){return z(e)?"".concat(e,"px"):e}},{key:"sanitizeValue",value:function(e){return"true"!==e&&"false"!==e?e:"true"===e}}]),V=i((function t(i,n,s){e(this,t),this.element=i,this.instance=n,this.index=s}),[{key:"setContent",value:function(){var e=this,t=arguments.length>0&&void 0!==arguments[0]?arguments[0]:null,i=arguments.length>1&&void 0!==arguments[1]&&arguments[1];if(u(t,"loaded"))return!1;var n=this.instance.settings,s=this.slideConfig,l=T();C(n.beforeSlideLoad)&&n.beforeSlideLoad({index:this.index,slide:t,player:!1});var o=s.type,r=s.descPosition,a=t.querySelector(".gslide-media"),h=t.querySelector(".gslide-title"),c=t.querySelector(".gslide-desc"),g=t.querySelector(".gdesc-inner"),v=i,f="gSlideTitle_"+this.index,p="gSlideDesc_"+this.index;if(C(n.afterSlideLoad)&&(v=function(){C(i)&&i(),n.afterSlideLoad({index:e.index,slide:t,player:e.instance.getSlidePlayerInstance(e.index)})}),""==s.title&&""==s.description?g&&g.parentNode.parentNode.removeChild(g.parentNode):(h&&""!==s.title?(h.id=f,h.innerHTML=s.title):h.parentNode.removeChild(h),c&&""!==s.description?(c.id=p,l&&n.moreLength>0?(s.smallDescription=this.slideShortDesc(s.description,n.moreLength,n.moreText),c.innerHTML=s.smallDescription,this.descriptionEvents(c,s)):c.innerHTML=s.description):c.parentNode.removeChild(c),d(a.parentNode,"desc-".concat(r)),d(g.parentNode,"description-".concat(r))),d(a,"gslide-".concat(o)),d(t,"loaded"),"video"!==o){if("external"!==o)return"inline"===o?(B.apply(this.instance,[t,s,this.index,v]),void(s.draggable&&new N({dragEl:t.querySelector(".gslide-inline"),toleranceX:n.dragToleranceX,toleranceY:n.dragToleranceY,slide:t,instance:this.instance}))):void("image"!==o?C(v)&&v():D(t,s,this.index,(function(){var i=t.querySelector("img");s.draggable&&new N({dragEl:i,toleranceX:n.dragToleranceX,toleranceY:n.dragToleranceY,slide:t,instance:e.instance}),s.zoomable&&i.naturalWidth>i.offsetWidth&&(d(i,"zoomable"),new q(i,t,(function(){e.instance.resize()}))),C(v)&&v()})));H.apply(this,[t,s,this.index,v])}else _.apply(this.instance,[t,s,this.index,v])}},{key:"slideShortDesc",value:function(e){var t=arguments.length>1&&void 0!==arguments[1]?arguments[1]:50,i=arguments.length>2&&void 0!==arguments[2]&&arguments[2],n=document.createElement("div");n.innerHTML=e;var s=n.innerText,l=i;if((e=s.trim()).length<=t)return e;var o=e.substr(0,t-1);return l?(n=null,o+'... '+i+""):o}},{key:"descriptionEvents",value:function(e,t){var i=this,n=e.querySelector(".desc-more");if(!n)return!1;h("click",{onElement:n,withCallback:function(e,n){e.preventDefault();var s=document.body,l=g(n,".gslide-desc");if(!l)return!1;l.innerHTML=t.description,d(s,"gdesc-open");var o=h("click",{onElement:[s,g(l,".gslide-description")],withCallback:function(e,n){"a"!==e.target.nodeName.toLowerCase()&&(c(s,"gdesc-open"),d(s,"gdesc-closed"),l.innerHTML=t.smallDescription,i.descriptionEvents(l,t),setTimeout((function(){c(s,"gdesc-closed")}),400),o.destroy())}})}})}},{key:"create",value:function(){return y(this.instance.settings.slideHTML)}},{key:"getConfig",value:function(){E(this.element)||this.element.hasOwnProperty("draggable")||(this.element.draggable=this.instance.settings.draggable);var e=new j(this.instance.settings.slideExtraAttributes);return this.slideConfig=e.parseConfig(this.element,this.instance.settings),this.slideConfig}}]);function F(e){return Math.sqrt(e.x*e.x+e.y*e.y)}function R(e,t){var i=function(e,t){var i=F(e)*F(t);if(0===i)return 0;var n=function(e,t){return e.x*t.x+e.y*t.y}(e,t)/i;return n>1&&(n=1),Math.acos(n)}(e,t);return function(e,t){return e.x*t.y-t.x*e.y}(e,t)>0&&(i*=-1),180*i/Math.PI}var G=i((function t(i){e(this,t),this.handlers=[],this.el=i}),[{key:"add",value:function(e){this.handlers.push(e)}},{key:"del",value:function(e){e||(this.handlers=[]);for(var t=this.handlers.length;t>=0;t--)this.handlers[t]===e&&this.handlers.splice(t,1)}},{key:"dispatch",value:function(){for(var e=0,t=this.handlers.length;e=0)console.log("ignore drag for this touched element",e.target.nodeName.toLowerCase());else{this.now=Date.now(),this.x1=e.touches[0].pageX,this.y1=e.touches[0].pageY,this.delta=this.now-(this.last||this.now),this.touchStart.dispatch(e,this.element),null!==this.preTapPosition.x&&(this.isDoubleTap=this.delta>0&&this.delta<=250&&Math.abs(this.preTapPosition.x-this.x1)<30&&Math.abs(this.preTapPosition.y-this.y1)<30,this.isDoubleTap&&clearTimeout(this.singleTapTimeout)),this.preTapPosition.x=this.x1,this.preTapPosition.y=this.y1,this.last=this.now;var t=this.preV;if(e.touches.length>1){this._cancelLongTap(),this._cancelSingleTap();var i={x:e.touches[1].pageX-this.x1,y:e.touches[1].pageY-this.y1};t.x=i.x,t.y=i.y,this.pinchStartLen=F(t),this.multipointStart.dispatch(e,this.element)}this._preventTap=!1,this.longTapTimeout=setTimeout(function(){this.longTap.dispatch(e,this.element),this._preventTap=!0}.bind(this),750)}}},{key:"move",value:function(e){if(e.touches){var t=this.preV,i=e.touches.length,n=e.touches[0].pageX,s=e.touches[0].pageY;if(this.isDoubleTap=!1,i>1){var l=e.touches[1].pageX,o=e.touches[1].pageY,r={x:e.touches[1].pageX-n,y:e.touches[1].pageY-s};null!==t.x&&(this.pinchStartLen>0&&(e.zoom=F(r)/this.pinchStartLen,this.pinch.dispatch(e,this.element)),e.angle=R(r,t),this.rotate.dispatch(e,this.element)),t.x=r.x,t.y=r.y,null!==this.x2&&null!==this.sx2?(e.deltaX=(n-this.x2+l-this.sx2)/2,e.deltaY=(s-this.y2+o-this.sy2)/2):(e.deltaX=0,e.deltaY=0),this.twoFingerPressMove.dispatch(e,this.element),this.sx2=l,this.sy2=o}else{if(null!==this.x2){e.deltaX=n-this.x2,e.deltaY=s-this.y2;var a=Math.abs(this.x1-this.x2),h=Math.abs(this.y1-this.y2);(a>10||h>10)&&(this._preventTap=!0)}else e.deltaX=0,e.deltaY=0;this.pressMove.dispatch(e,this.element)}this.touchMove.dispatch(e,this.element),this._cancelLongTap(),this.x2=n,this.y2=s,i>1&&e.preventDefault()}}},{key:"end",value:function(e){if(e.changedTouches){this._cancelLongTap();var t=this;e.touches.length<2&&(this.multipointEnd.dispatch(e,this.element),this.sx2=this.sy2=null),this.x2&&Math.abs(this.x1-this.x2)>30||this.y2&&Math.abs(this.y1-this.y2)>30?(e.direction=this._swipeDirection(this.x1,this.x2,this.y1,this.y2),this.swipeTimeout=setTimeout((function(){t.swipe.dispatch(e,t.element)}),0)):(this.tapTimeout=setTimeout((function(){t._preventTap||t.tap.dispatch(e,t.element),t.isDoubleTap&&(t.doubleTap.dispatch(e,t.element),t.isDoubleTap=!1)}),0),t.isDoubleTap||(t.singleTapTimeout=setTimeout((function(){t.singleTap.dispatch(e,t.element)}),250))),this.touchEnd.dispatch(e,this.element),this.preV.x=0,this.preV.y=0,this.zoom=1,this.pinchStartLen=null,this.x1=this.x2=this.y1=this.y2=null}}},{key:"cancelAll",value:function(){this._preventTap=!0,clearTimeout(this.singleTapTimeout),clearTimeout(this.tapTimeout),clearTimeout(this.longTapTimeout),clearTimeout(this.swipeTimeout)}},{key:"cancel",value:function(e){this.cancelAll(),this.touchCancel.dispatch(e,this.element)}},{key:"_cancelLongTap",value:function(){clearTimeout(this.longTapTimeout)}},{key:"_cancelSingleTap",value:function(){clearTimeout(this.singleTapTimeout)}},{key:"_swipeDirection",value:function(e,t,i,n){return Math.abs(e-t)>=Math.abs(i-n)?e-t>0?"Left":"Right":i-n>0?"Up":"Down"}},{key:"on",value:function(e,t){this[e]&&this[e].add(t)}},{key:"off",value:function(e,t){this[e]&&this[e].del(t)}},{key:"destroy",value:function(){return this.singleTapTimeout&&clearTimeout(this.singleTapTimeout),this.tapTimeout&&clearTimeout(this.tapTimeout),this.longTapTimeout&&clearTimeout(this.longTapTimeout),this.swipeTimeout&&clearTimeout(this.swipeTimeout),this.element.removeEventListener("touchstart",this.start),this.element.removeEventListener("touchmove",this.move),this.element.removeEventListener("touchend",this.end),this.element.removeEventListener("touchcancel",this.cancel),this.rotate.del(),this.touchStart.del(),this.multipointStart.del(),this.multipointEnd.del(),this.pinch.del(),this.swipe.del(),this.tap.del(),this.doubleTap.del(),this.longTap.del(),this.singleTap.del(),this.pressMove.del(),this.twoFingerPressMove.del(),this.touchMove.del(),this.touchEnd.del(),this.touchCancel.del(),this.preV=this.pinchStartLen=this.zoom=this.isDoubleTap=this.delta=this.last=this.now=this.tapTimeout=this.singleTapTimeout=this.longTapTimeout=this.swipeTimeout=this.x1=this.x2=this.y1=this.y2=this.preTapPosition=this.rotate=this.touchStart=this.multipointStart=this.multipointEnd=this.pinch=this.swipe=this.tap=this.doubleTap=this.longTap=this.singleTap=this.pressMove=this.touchMove=this.touchEnd=this.touchCancel=this.twoFingerPressMove=null,window.removeEventListener("scroll",this._cancelAllHandler),null}}]);function $(e){var t=function(){var e,t=document.createElement("fakeelement"),i={transition:"transitionend",OTransition:"oTransitionEnd",MozTransition:"transitionend",WebkitTransition:"webkitTransitionEnd"};for(e in i)if(void 0!==t.style[e])return i[e]}(),i=window.innerWidth||document.documentElement.clientWidth||document.body.clientWidth,n=u(e,"gslide-media")?e:e.querySelector(".gslide-media"),s=g(n,".ginner-container"),l=e.querySelector(".gslide-description");i>769&&(n=s),d(n,"greset"),f(n,"translate3d(0, 0, 0)"),h(t,{onElement:n,once:!0,withCallback:function(e,t){c(n,"greset")}}),n.style.opacity="",l&&(l.style.opacity="")}function J(e){if(e.events.hasOwnProperty("touch"))return!1;var t,i,n,s=x(),l=s.width,o=s.height,r=!1,a=null,h=null,v=null,p=!1,m=1,y=1,b=!1,S=!1,w=null,T=null,C=null,k=null,E=0,A=0,L=!1,I=!1,O={},P={},M=0,z=0,X=document.getElementById("glightbox-slider"),Y=document.querySelector(".goverlay"),q=new U(X,{touchStart:function(t){if(r=!0,(u(t.targetTouches[0].target,"ginner-container")||g(t.targetTouches[0].target,".gslide-desc")||"a"==t.targetTouches[0].target.nodeName.toLowerCase())&&(r=!1),g(t.targetTouches[0].target,".gslide-inline")&&!u(t.targetTouches[0].target.parentNode,"gslide-inline")&&(r=!1),r){if(P=t.targetTouches[0],O.pageX=t.targetTouches[0].pageX,O.pageY=t.targetTouches[0].pageY,M=t.targetTouches[0].clientX,z=t.targetTouches[0].clientY,a=e.activeSlide,h=a.querySelector(".gslide-media"),n=a.querySelector(".gslide-inline"),v=null,u(h,"gslide-image")&&(v=h.querySelector("img")),(window.innerWidth||document.documentElement.clientWidth||document.body.clientWidth)>769&&(h=a.querySelector(".ginner-container")),c(Y,"greset"),t.pageX>20&&t.pageXo){var a=O.pageX-P.pageX;if(Math.abs(a)<=13)return!1}p=!0;var d,c=s.targetTouches[0].clientX,u=s.targetTouches[0].clientY,g=M-c,m=z-u;if(Math.abs(g)>Math.abs(m)?(L=!1,I=!0):(I=!1,L=!0),t=P.pageX-O.pageX,E=100*t/l,i=P.pageY-O.pageY,A=100*i/o,L&&v&&(d=1-Math.abs(i)/o,Y.style.opacity=d,e.settings.touchFollowAxis&&(E=0)),I&&(d=1-Math.abs(t)/l,h.style.opacity=d,e.settings.touchFollowAxis&&(A=0)),!v)return f(h,"translate3d(".concat(E,"%, 0, 0)"));f(h,"translate3d(".concat(E,"%, ").concat(A,"%, 0)"))}},touchEnd:function(){if(r){if(p=!1,S||b)return C=w,void(k=T);var t=Math.abs(parseInt(A)),i=Math.abs(parseInt(E));if(!(t>29&&v))return t<29&&i<25?(d(Y,"greset"),Y.style.opacity=1,$(h)):void 0;e.close()}},multipointEnd:function(){setTimeout((function(){b=!1}),50)},multipointStart:function(){b=!0,m=y||1},pinch:function(e){if(!v||p)return!1;b=!0,v.scaleX=v.scaleY=m*e.zoom;var t=m*e.zoom;if(S=!0,t<=1)return S=!1,t=1,k=null,C=null,w=null,T=null,void v.setAttribute("style","");t>4.5&&(t=4.5),v.style.transform="scale3d(".concat(t,", ").concat(t,", 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window||navigator.msMaxTouchPoints,ee=document.getElementsByTagName("html")[0],te={selector:".glightbox",elements:null,skin:"clean",theme:"clean",closeButton:!0,startAt:null,autoplayVideos:!0,autofocusVideos:!0,descPosition:"bottom",width:"900px",height:"506px",videosWidth:"960px",beforeSlideChange:null,afterSlideChange:null,beforeSlideLoad:null,afterSlideLoad:null,slideInserted:null,slideRemoved:null,slideExtraAttributes:null,onOpen:null,onClose:null,loop:!1,zoomable:!0,draggable:!0,dragAutoSnap:!1,dragToleranceX:40,dragToleranceY:65,preload:!0,oneSlidePerOpen:!1,touchNavigation:!0,touchFollowAxis:!0,keyboardNavigation:!0,closeOnOutsideClick:!0,plugins:!1,plyr:{css:"https://cdn.plyr.io/3.6.12/plyr.css",js:"https://cdn.plyr.io/3.6.12/plyr.js",config:{ratio:"16:9",fullscreen:{enabled:!0,iosNative:!0},youtube:{noCookie:!0,rel:0,showinfo:0,iv_load_policy:3},vimeo:{byline:!1,portrait:!1,title:!1,transparent:!1}}},openEffect:"zoom",closeEffect:"zoom",slideEffect:"slide",moreText:"See more",moreLength:60,cssEfects:{fade:{in:"fadeIn",out:"fadeOut"},zoom:{in:"zoomIn",out:"zoomOut"},slide:{in:"slideInRight",out:"slideOutLeft"},slideBack:{in:"slideInLeft",out:"slideOutRight"},none:{in:"none",out:"none"}},svg:{close:'',next:' ',prev:''},slideHTML:'
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',lightboxHTML:''},ie=i((function t(){var i=arguments.length>0&&void 0!==arguments[0]?arguments[0]:{};e(this,t),this.customOptions=i,this.settings=o(te,i),this.effectsClasses=this.getAnimationClasses(),this.videoPlayers={},this.apiEvents=[],this.fullElementsList=!1}),[{key:"init",value:function(){var e=this,t=this.getSelector();t&&(this.baseEvents=h("click",{onElement:t,withCallback:function(t,i){t.preventDefault(),e.open(i)}})),this.elements=this.getElements()}},{key:"open",value:function(){var e=arguments.length>0&&void 0!==arguments[0]?arguments[0]:null,t=arguments.length>1&&void 0!==arguments[1]?arguments[1]:null;if(0===this.elements.length)return!1;this.activeSlide=null,this.prevActiveSlideIndex=null,this.prevActiveSlide=null;var i=z(t)?t:this.settings.startAt;if(E(e)){var n=e.getAttribute("data-gallery");n&&(this.fullElementsList=this.elements,this.elements=this.getGalleryElements(this.elements,n)),O(i)&&(i=this.getElementIndex(e))<0&&(i=0)}z(i)||(i=0),this.build(),v(this.overlay,"none"===this.settings.openEffect?"none":this.settings.cssEfects.fade.in);var s=document.body,l=window.innerWidth-document.documentElement.clientWidth;if(l>0){var o=document.createElement("style");o.type="text/css",o.className="gcss-styles",o.innerText=".gscrollbar-fixer {margin-right: 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n=this.slidesContainer.querySelector(".current");n&&c(n,"current"),this.slideAnimateOut();var s=this.slidesContainer.querySelectorAll(".gslide")[t];if(u(s,"loaded"))this.slideAnimateIn(s,i),m(this.loader);else{p(this.loader);var l=this.elements[t],o={index:this.index,slide:s,slideNode:s,slideConfig:l.slideConfig,slideIndex:this.index,trigger:l.node,player:null};this.trigger("slide_before_load",o),l.instance.setContent(s,(function(){m(e.loader),e.resize(),e.slideAnimateIn(s,i),e.trigger("slide_after_load",o)}))}this.slideDescription=s.querySelector(".gslide-description"),this.slideDescriptionContained=this.slideDescription&&u(this.slideDescription.parentNode,"gslide-media"),this.settings.preload&&(this.preloadSlide(t+1),this.preloadSlide(t-1)),this.updateNavigationClasses(),this.activeSlide=s}},{key:"preloadSlide",value:function(e){var t=this;if(e<0||e>this.elements.length-1)return!1;if(O(this.elements[e]))return!1;var i=this.slidesContainer.querySelectorAll(".gslide")[e];if(u(i,"loaded"))return!1;var n=this.elements[e],s=n.type,l={index:e,slide:i,slideNode:i,slideConfig:n.slideConfig,slideIndex:e,trigger:n.node,player:null};this.trigger("slide_before_load",l),"video"===s||"external"===s?setTimeout((function(){n.instance.setContent(i,(function(){t.trigger("slide_after_load",l)}))}),200):n.instance.setContent(i,(function(){t.trigger("slide_after_load",l)}))}},{key:"prevSlide",value:function(){this.goToSlide(this.index-1)}},{key:"nextSlide",value:function(){this.goToSlide(this.index+1)}},{key:"goToSlide",value:function(){var e=arguments.length>0&&void 0!==arguments[0]&&arguments[0];if(this.prevActiveSlide=this.activeSlide,this.prevActiveSlideIndex=this.index,!this.loop()&&(e<0||e>this.elements.length-1))return!1;e<0?e=this.elements.length-1:e>=this.elements.length&&(e=0),this.showSlide(e)}},{key:"insertSlide",value:function(){var e=arguments.length>0&&void 0!==arguments[0]?arguments[0]:{},t=arguments.length>1&&void 0!==arguments[1]?arguments[1]:-1;t<0&&(t=this.elements.length);var i=new V(e,this,t),n=i.getConfig(),s=o({},n),l=i.create(),r=this.elements.length-1;s.index=t,s.node=!1,s.instance=i,s.slideConfig=n,this.elements.splice(t,0,s);var a=null,h=null;if(this.slidesContainer){if(t>r)this.slidesContainer.appendChild(l);else{var d=this.slidesContainer.querySelectorAll(".gslide")[t];this.slidesContainer.insertBefore(l,d)}(this.settings.preload&&0==this.index&&0==t||this.index-1==t||this.index+1==t)&&this.preloadSlide(t),0===this.index&&0===t&&(this.index=1),this.updateNavigationClasses(),a=this.slidesContainer.querySelectorAll(".gslide")[t],h=this.getSlidePlayerInstance(t),s.slideNode=a}this.trigger("slide_inserted",{index:t,slide:a,slideNode:a,slideConfig:n,slideIndex:t,trigger:null,player:h}),C(this.settings.slideInserted)&&this.settings.slideInserted({index:t,slide:a,player:h})}},{key:"removeSlide",value:function(){var e=arguments.length>0&&void 0!==arguments[0]?arguments[0]:-1;if(e<0||e>this.elements.length-1)return!1;var t=this.slidesContainer&&this.slidesContainer.querySelectorAll(".gslide")[e];t&&(this.getActiveSlideIndex()==e&&(e==this.elements.length-1?this.prevSlide():this.nextSlide()),t.parentNode.removeChild(t)),this.elements.splice(e,1),this.trigger("slide_removed",e),C(this.settings.slideRemoved)&&this.settings.slideRemoved(e)}},{key:"slideAnimateIn",value:function(e,t){var i=this,n=e.querySelector(".gslide-media"),s=e.querySelector(".gslide-description"),l={index:this.prevActiveSlideIndex,slide:this.prevActiveSlide,slideNode:this.prevActiveSlide,slideIndex:this.prevActiveSlide,slideConfig:O(this.prevActiveSlideIndex)?null:this.elements[this.prevActiveSlideIndex].slideConfig,trigger:O(this.prevActiveSlideIndex)?null:this.elements[this.prevActiveSlideIndex].node,player:this.getSlidePlayerInstance(this.prevActiveSlideIndex)},o={index:this.index,slide:this.activeSlide,slideNode:this.activeSlide,slideConfig:this.elements[this.index].slideConfig,slideIndex:this.index,trigger:this.elements[this.index].node,player:this.getSlidePlayerInstance(this.index)};if(n.offsetWidth>0&&s&&(m(s),s.style.display=""),c(e,this.effectsClasses),t)v(e,this.settings.cssEfects[this.settings.openEffect].in,(function(){i.settings.autoplayVideos&&i.slidePlayerPlay(e),i.trigger("slide_changed",{prev:l,current:o}),C(i.settings.afterSlideChange)&&i.settings.afterSlideChange.apply(i,[l,o])}));else{var r=this.settings.slideEffect,a="none"!==r?this.settings.cssEfects[r].in:r;this.prevActiveSlideIndex>this.index&&"slide"==this.settings.slideEffect&&(a=this.settings.cssEfects.slideBack.in),v(e,a,(function(){i.settings.autoplayVideos&&i.slidePlayerPlay(e),i.trigger("slide_changed",{prev:l,current:o}),C(i.settings.afterSlideChange)&&i.settings.afterSlideChange.apply(i,[l,o])}))}setTimeout((function(){i.resize(e)}),100),d(e,"current")}},{key:"slideAnimateOut",value:function(){if(!this.prevActiveSlide)return!1;var e=this.prevActiveSlide;c(e,this.effectsClasses),d(e,"prev");var t=this.settings.slideEffect,i="none"!==t?this.settings.cssEfects[t].out:t;this.slidePlayerPause(e),this.trigger("slide_before_change",{prev:{index:this.prevActiveSlideIndex,slide:this.prevActiveSlide,slideNode:this.prevActiveSlide,slideIndex:this.prevActiveSlideIndex,slideConfig:O(this.prevActiveSlideIndex)?null:this.elements[this.prevActiveSlideIndex].slideConfig,trigger:O(this.prevActiveSlideIndex)?null:this.elements[this.prevActiveSlideIndex].node,player:this.getSlidePlayerInstance(this.prevActiveSlideIndex)},current:{index:this.index,slide:this.activeSlide,slideNode:this.activeSlide,slideIndex:this.index,slideConfig:this.elements[this.index].slideConfig,trigger:this.elements[this.index].node,player:this.getSlidePlayerInstance(this.index)}}),C(this.settings.beforeSlideChange)&&this.settings.beforeSlideChange.apply(this,[{index:this.prevActiveSlideIndex,slide:this.prevActiveSlide,player:this.getSlidePlayerInstance(this.prevActiveSlideIndex)},{index:this.index,slide:this.activeSlide,player:this.getSlidePlayerInstance(this.index)}]),this.prevActiveSlideIndex>this.index&&"slide"==this.settings.slideEffect&&(i=this.settings.cssEfects.slideBack.out),v(e,i,(function(){var t=e.querySelector(".ginner-container"),i=e.querySelector(".gslide-media"),n=e.querySelector(".gslide-description");t.style.transform="",i.style.transform="",c(i,"greset"),i.style.opacity="",n&&(n.style.opacity=""),c(e,"prev")}))}},{key:"getAllPlayers",value:function(){return this.videoPlayers}},{key:"getSlidePlayerInstance",value:function(e){var t="gvideo"+e,i=this.getAllPlayers();return!(!P(i,t)||!i[t])&&i[t]}},{key:"stopSlideVideo",value:function(e){if(E(e)){var t=e.querySelector(".gvideo-wrapper");t&&(e=t.getAttribute("data-index"))}console.log("stopSlideVideo is deprecated, use slidePlayerPause");var i=this.getSlidePlayerInstance(e);i&&i.playing&&i.pause()}},{key:"slidePlayerPause",value:function(e){if(E(e)){var t=e.querySelector(".gvideo-wrapper");t&&(e=t.getAttribute("data-index"))}var i=this.getSlidePlayerInstance(e);i&&i.playing&&i.pause()}},{key:"playSlideVideo",value:function(e){if(E(e)){var t=e.querySelector(".gvideo-wrapper");t&&(e=t.getAttribute("data-index"))}console.log("playSlideVideo is deprecated, use slidePlayerPlay");var i=this.getSlidePlayerInstance(e);i&&!i.playing&&i.play()}},{key:"slidePlayerPlay",value:function(e){var t;if(!K||null!==(t=this.settings.plyr.config)&&void 0!==t&&t.muted){if(E(e)){var i=e.querySelector(".gvideo-wrapper");i&&(e=i.getAttribute("data-index"))}var n=this.getSlidePlayerInstance(e);n&&!n.playing&&(n.play(),this.settings.autofocusVideos&&n.elements.container.focus())}}},{key:"setElements",value:function(e){var t=this;this.settings.elements=!1;var i=[];e&&e.length&&r(e,(function(e,n){var s=new V(e,t,n),l=s.getConfig(),r=o({},l);r.slideConfig=l,r.instance=s,r.index=n,i.push(r)})),this.elements=i,this.lightboxOpen&&(this.slidesContainer.innerHTML="",this.elements.length&&(r(this.elements,(function(){var e=y(t.settings.slideHTML);t.slidesContainer.appendChild(e)})),this.showSlide(0,!0)))}},{key:"getElementIndex",value:function(e){var t=!1;return r(this.elements,(function(i,n){if(P(i,"node")&&i.node==e)return t=n,!0})),t}},{key:"getElements",value:function(){var e=this,t=[];this.elements=this.elements?this.elements:[],!O(this.settings.elements)&&A(this.settings.elements)&&this.settings.elements.length&&r(this.settings.elements,(function(i,n){var s=new V(i,e,n),l=s.getConfig(),r=o({},l);r.node=!1,r.index=n,r.instance=s,r.slideConfig=l,t.push(r)}));var i=!1;return this.getSelector()&&(i=document.querySelectorAll(this.getSelector())),i?(r(i,(function(i,n){var s=new V(i,e,n),l=s.getConfig(),r=o({},l);r.node=i,r.index=n,r.instance=s,r.slideConfig=l,r.gallery=i.getAttribute("data-gallery"),t.push(r)})),t):t}},{key:"getGalleryElements",value:function(e,t){return e.filter((function(e){return e.gallery==t}))}},{key:"getSelector",value:function(){return!this.settings.elements&&(this.settings.selector&&"data-"==this.settings.selector.substring(0,5)?"*[".concat(this.settings.selector,"]"):this.settings.selector)}},{key:"getActiveSlide",value:function(){return this.slidesContainer.querySelectorAll(".gslide")[this.index]}},{key:"getActiveSlideIndex",value:function(){return this.index}},{key:"getAnimationClasses",value:function(){var e=[];for(var t in this.settings.cssEfects)if(this.settings.cssEfects.hasOwnProperty(t)){var i=this.settings.cssEfects[t];e.push("g".concat(i.in)),e.push("g".concat(i.out))}return e.join(" ")}},{key:"build",value:function(){var e=this;if(this.built)return!1;var t=document.body.childNodes,i=[];r(t,(function(e){e.parentNode==document.body&&"#"!==e.nodeName.charAt(0)&&e.hasAttribute&&!e.hasAttribute("aria-hidden")&&(i.push(e),e.setAttribute("aria-hidden","true"))}));var 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diff --git a/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/gtm(1).js b/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/gtm(1).js
new file mode 100644
index 0000000..5c91487
--- /dev/null
+++ b/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/gtm(1).js	
@@ -0,0 +1,1084 @@
+
+// Copyright 2012 Google Inc. All rights reserved.
+ 
+ (function(w,g){w[g]=w[g]||{};
+ w[g].e=function(s){return eval(s);};})(window,'google_tag_manager');
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diff --git a/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/gtm(2).js b/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/gtm(2).js
new file mode 100644
index 0000000..7873f2d
--- /dev/null
+++ b/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/gtm(2).js	
@@ -0,0 +1,5 @@
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diff --git a/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/gtm.js b/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/gtm.js
new file mode 100644
index 0000000..315e0a8
--- /dev/null
+++ b/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/gtm.js	
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diff --git a/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/js b/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/js
new file mode 100644
index 0000000..d5f92c6
--- /dev/null
+++ b/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/js	
@@ -0,0 +1,1084 @@
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diff --git a/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/main.484c7ddc.min.css b/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/main.484c7ddc.min.css
new file mode 100644
index 0000000..714c565
--- /dev/null
+++ b/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/main.484c7ddc.min.css	
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diff --git a/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/shim b/firmware/teensy41/documents/4.0 Inch 480_320 SPI TFT LCD Module with ST7796 Driver_With Touch Function - Elecrow Wiki_files/shim
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+"use strict";(()=>{function c(s,n){parent.postMessage(s,n||"*")}function d(...s){return s.reduce((n,e)=>n.then(()=>new Promise(r=>{let t=document.createElement("script");t.src=e,t.onload=r,document.body.appendChild(t)})),Promise.resolve())}var o=class extends EventTarget{constructor(e){super();this.url=e;this.m=e=>{e.source===this.w&&(this.dispatchEvent(new MessageEvent("message",{data:e.data})),this.onmessage&&this.onmessage(e))};this.e=(e,r,t,i,m)=>{if(r===`${this.url}`){let a=new ErrorEvent("error",{message:e,filename:r,lineno:t,colno:i,error:m});this.dispatchEvent(a),this.onerror&&this.onerror(a)}};let r=document.createElement("iframe");r.hidden=!0,document.body.appendChild(this.iframe=r),this.w.document.open(),this.w.document.write(`   Teensy 4.1 Pinout, Specifications & Board Layout       
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Teensy 4.1 Pinout, Specifications & Board Layout

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+Teensy 4.1 Pinout, Specifications & Board Layout
Last updated on March 16th, 2024 at 04:15 pm
The Teensy 4.1 is a small board (2.4′′ x 0.7′′) available at a low price ($26.85 at the time of purchase). This board costs about the same as an Arduino Uno and less than an Arduino Mega, but it offers significantly higher performance than both boards. The thing that makes this board so powerful is RT1602, a crossover MCU based on a 600MHz ARM Cortex M7 32-bit processor. 
The Board comes with 1024 KB ram, 7936 KB flash memory, and 4KB EEPROM. There are 18 analog pins and 55 digital I/O pins on board out of which 35 pins support pulse width modulation. This board supports CAN, I2C, and SPI serial communication protocols.
If we compare this board with the Teensy 4.0, we can find Teensy 4.1 includes an Ethernet controller and an Ethernet PHY chip. Only an RJ45 mag jack kit is required to connect an Ethernet cable. Teensy 4.1 also has an onboard SD card slot for SD cards which makes this board unique from other Teensy Family boards.
Board Layout
Teensy 4.1 Board Layout
Teensy 4.1 Board Layout
MCU (MIMXRT1062DVJ6B)
The MCU in Teensy 4.1 board is from the i.MX RT1060 processor family that features NXP’s advanced implementation of the Arm Cortex-M7 core. It runs at speeds of up to 600 MHz to provide high CPU performance and the best real-time response.
On-chip RAM for the i.MX RT1060 processor is 1 MB. The first 512 KB can be configured as general-purpose on-chip RAM, while the second 512 KB is general-purpose on-chip RAM.
Microcontroller (MKL02Z32VFG4)
This is the secondary microcontroller present on the Teensy 4.1 board. It increases the overall efficiency and performance of the board. It has a small size, ultrasmall package, and energy-efficient ARM Cortex-M0+ 32-bit performance. This microcontroller provides:
  • Run power consumption as low as 36 A/MHz in very low power run mode
  • Static power consumption down to 2 μA with full state retention(fast wake-up address) and 4 μs wakeup
  • Ultra-efficient Cortex-M0+ processor running at up to 48 MHz with industry-leading throughput
  • Memory options include up to 32 KB flash and 4 KB RAM
Transreceiver (DP83825)
It is a very low-power Ethernet Physical Layer transceiver. Over CAT5e cable, it supports a reach of up to 150 meters.
SD CARD
SD card slot is present on the development board for SD card support.
Mosfet (DMG2305UX)
It is a P-Channel Enhancement Mosfet. This MOSFET is optimized for high-efficiency power management applications by minimizing on-state resistance while maintaining superior switching performance.
Regulator (TLV757333P)
It is a low-dropout regulator (LDO). The TLV757P is designed for a wide range of applications, with an input voltage range of 1.45 V to 5.5 V. To support the lower core voltages of modern MCUs, the device is available in fixed output voltages ranging from 0.6 V to 5 V to reduce cost and board’s size.
TPD3S014
The TPD3S0x4s are integrated devices that feature a current-limited load switch and a two-channel transient voltage suppressor (TVS) based electrostatic discharge (ESD) protection diode array for USB interfaces.
Serial Flash Memory (W25Q64JVXGIM)
It is an external Serial Flash memory used with the central MCU. It provides external flash memory to the board.
Read also: Teensy 3.2 Pinout, Specifications & Board Layout
Specifications
The specifications of Teensy 4.1 are given in the table below:
No.SpecificationsDescription
1MCUMIMXRT1062DVJ6B ARM Cortex-M7 MCU
2RAM1024K RAM (From which 512 is tightly coupled)
3Flash Memory7936 KB
4EEPROM4 KB
5USB Port2 USB ports are available and the speed of both is 480 Mbit/sec
6CAN Bus3 CAN Bus present
7I2S2 I2S Digital Audio
8SPI3 SPI ports are available
9I2C3 I2C ports are available
10Serial ports8 serial ports are available
11SD Card Port1 SD card port is available
12Digital I/O Pins55
13PWM Pins35
14Analog Pins18
15DMA32 general-purpose DMA channels
16RTCYes, RTC is available in Teensy 4.1
17DC Current per I/O pin10mA
18Operating voltage and I/O Voltage compatibility3.3V
19Cryptographic AccelerationYes, Cryptographic Acceleration is present in Teensy 4.1
Teensy 4.1 specifications
Pinout
Teensy 4.1 has a total of 55 input/output signal pins. 42 are easily accessible when used with a solderless breadboard. In teensy 4.1, 35 PWM pin support and 18 analog pins are present. Teensy 4.1 is enabled with SPI, CAN, and I2C serial communication protocols.
Teensy 4.1 Pinout
Teensy 4.1 Pinout
Pin CategoryPin NameDescription
PowerVIN, 3.3V, GNDVIN – This pin may receive 5V, when USB power is not used (3.6 to 5.5V) 
3.3V – The onboard regulator’s regulated output voltage (250mA max) GND stands for ground pins.
Analog PinsA0 – A17Pins A0 to A17 can be used as analog input pins with a resolution of 12 bits
I/O PinsD0 – D4155 Digital I/O pins are available
PWM pinsD0 – D15 
D18 – D19 
D22 – D25 
D28 – D29 
D33 
D36 – D37		35 PWM Output pins
Inbuilt LEDD13Inbuilt GPIO indicator LED
Serial Com.TX1 , RX1 Pin 1,0 
TX2 , RX2 Pin 8,7 
TX3 , RX3 Pin 14,15 
TX4 , RX4 Pin 17,16 
TX5 , RX5 Pin 20,21 
TX6 , RX6 Pin 24,25 
TX7 , RX7 Pin 29,28 TX8 , RX8 Pin 35,34		8 serial ports are available
SPICS, MOSI, MISO, SCK Pin 10,11,12,13 
CS1 , MOSI1 , MISO1 , SCK1 Pin 0,26,1,27 
CS2, MOSI2 , MISO2 , SCK2 Pin 44,43,42,45		Serial Peripheral Interface Port
I2CSCL, SDA Pin19,18 
SCL1, SDA1 Pin 16,17 SCL2, SDA2 Pin 24,25		Inter-Integrated Circuit communication port
CAN BusCTX1, CRX1 Pin 22,23 
CTX2, CRX2 Pin 1,0 
CTX3, CRX3 Pin 31,30		CAN bus (1 with CAN FD)
Teensy 4.1 pinout

+
+Terminal Block Breakout Board Module for Teensy 4.1, Screw Mount Version
+

+
+Terminal Block Breakout Board Module for Teensy 4.1, Screw Mount Version        
  • Terminal Block Breakout Board Module for Teensy 4.1, Screw Mount Version. With the breakout board, you can easily extend Teensy 4.1 projects to industrial control, home automation or other applications.
  • With 112 DIY solder pads on board, pitch 2.54mm, hole 0.8mm, you can use these pads to install soldered some electronic components for you need.

+
Buy Now
Schematic
Teensy 4.1 schematic
Teensy 4.1 schematic
Teensy 4.1 has a 32-bit ARM Cortex-M7 CPU running at 600MHz as the main SMD MCU microcontroller. While the secondary microcontroller is Cortex-M0+ Ultra-Low Power MCU with 32KB Flash and 4KB SRAM. This controller is used here for signal multiplexing, decreasing wake-up time, and increasing the overall performance of the Teensy 4.1 development board. 
It has a flash memory IC for increasing flash memory size. FLASH and PSRAM boosts the performance of the board. A very low-power Ethernet Physical Layer transceiver provides ethernet support to the Teensy 4.1 board.
It uses a USB Micro-B type socket to connect the USB cable for programming, and to power up the board.
How to power Teensy 4.1?
USB Power
Teensy is normally powered by a PC or USB hub via a USB cable. The USB power is delivered to the VUSB pin, which is linked to VIN.
VIN Pin
When not using USB power, 5V power can be applied to the VIN pin. Because VIN and VUSB are linked, power should not be applied to VIN while using a USB cable.
3.3V Power
The Teensy 4.1 includes a voltage regulator that reduces the 5V VUSB / VIN power to 3.3V for use by the main processor and most other components. The 3.3V pin can be used to power additional circuitry. The maximum recommended external 3.3V usage is 250mA.
VBAT
A 3-volt coin cell can be connected to VBAT and GND to allow the RTC to keep track of the date and time even when the power is turned off. A CR2032-type battery is recommended, but other 3V coin cells can be used as well.
FAQs
Is Teensy 4.1 is a substitute for other development boards?
Yes, teensy 4.1 is a more powerful board than any other board available in this price range. Teensy 4.1 have ethernet as well as SD card slot support which increases the features board. Its MCU’s clock frequency is 600 MHz so we can perform many high-speed operations in very less time.
Is Teensy 4.1 better for audio projects?
Yes, teensy 4.1 is better for audio projects because it supports I2S and TDM internally. I2S and TDM are digital data streaming interfaces particularly appropriate for the transmission of audio data. Using PJRC’s audio library tool you can make many cool projects and also in very less time because of their graphic user interface for this library.
How to connect Teensy 4.1 with ethernet?
For connecting ethernet with teensy 4.1 two ways are available. One is using the RJ45 magjack kit while the other is using Wiznet W5500 and Wiz820 shield, connected to the SPI port.
Projects using Teensy 4.1
Teensy Drum Sample Player
Using teensy boards you can make many cool projects related to Audio. You may watch this tutorial video for more such cool projects.

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Kanishk Godiyal
I have a keen passion for learning and understanding various concepts of electronics. Combining my knowledge with my SEO skills, my aim is to make electronics easy for every tech enthusiast out there.
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new file mode 100644
index 0000000..72a1a9d
--- /dev/null
+++ b/firmware/teensy41/documents/Teensy 4.1 Pinout, Specifications & Board Layout_files/83410568387682197f73119658447003.css	
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diff --git a/firmware/teensy41/documents/Teensy 4.1 Pinout, Specifications & Board Layout_files/Teensy-4.1-Board-Layout.jpg b/firmware/teensy41/documents/Teensy 4.1 Pinout, Specifications & Board Layout_files/Teensy-4.1-Board-Layout.jpg
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diff --git a/firmware/teensy41/documents/Teensy 4.1 Pinout, Specifications & Board Layout_files/Teensy-4.1-Pinout.jpg b/firmware/teensy41/documents/Teensy 4.1 Pinout, Specifications & Board Layout_files/Teensy-4.1-Pinout.jpg
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n=r(7854),o=r(5005),i=r(614),a=r(7976),u=r(3307),c=n.Object;t.exports=u?function(t){return"symbol"==typeof t}:function(t){var e=o("Symbol");return i(e)&&a(e.prototype,c(t))}},408:function(t,e,r){var n=r(7854),o=r(9974),i=r(6916),a=r(9670),u=r(6330),c=r(7659),s=r(6244),f=r(7976),l=r(8554),h=r(1246),p=r(9212),v=n.TypeError,d=function(t,e){this.stopped=t,this.result=e},y=d.prototype;t.exports=function(t,e,r){var n,g,m,w,b,x,S,A=r&&r.that,E=!(!r||!r.AS_ENTRIES),R=!(!r||!r.IS_ITERATOR),T=!(!r||!r.INTERRUPTED),O=o(e,A),P=function(t){return n&&p(n,"normal",t),new d(!0,t)},I=function(t){return E?(a(t),T?O(t[0],t[1],P):O(t[0],t[1])):T?O(t,P):O(t)};if(R)n=t;else{if(!(g=h(t)))throw v(u(t)+" is not iterable");if(c(g)){for(m=0,w=s(t);w>m;m++)if((b=I(t[m]))&&f(y,b))return b;return new d(!1)}n=l(t,g)}for(x=n.next;!(S=i(x,n)).done;){try{b=I(S.value)}catch(t){p(n,"throw",t)}if("object"==typeof b&&b&&f(y,b))return b}return new d(!1)}},9212:function(t,e,r){var 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+
+
+
+

+
PJRC

+
+

+
+
+

+

+
+
+

+
Teensy® 4.1 Development Board

+
+SparkFun is now manufacturing Teensy products.  You can buy directly at SparkFun.
+

+

+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+

+
+
+TEENSY41Teensy USB Board, Version 4.1, With Ethernet Chip

+(Ethernet connector kit sold separately)

+For prototypes, experimentation, and learning

+
+TEENSY41_NETeensy USB Board, Version 4.1, Without Ethernet Chip

+For prototypes, experimentation, and learning

+
+TEENSY41_LOCKLockable Teensy USB Board, Version 4.1, With Ethernet Chip

+(Ethernet connector kit sold separately)

+For commercial products and secure applications,

+See Code Security for Lockable Teensy details.
+
+

+
+TEENSY41_NE_LOCKLockable Teensy USB Board, Version 4.1, Without Ethernet Chip

+For commercial products and secure applications,

+See Code Security for Lockable Teensy details.
+
+

+

+Recommended Accessories:
+USB Cable,
+Pins 24x1 (2),
+8MB PSRAM,
+USB Host Cable,
+Ethernet Kit
+

+
+

+
+
Sections On This Page:

+
+
+
+
Photos

+
+
+

+
+
+
+
+
Specifications

+
+
+
    
+
  • ARM Cortex-M7 at 600 MHz
+
  • Float point math unit, 64 & 32 bits
+
  • 7936K Flash, 1024K RAM (512K tightly coupled), 4K EEPROM (emulated)
+
  • QSPI memory expansion, locations for 2 extra RAM or Flash chips
+
  • USB device 480 Mbit/sec & USB host 480 Mbit/sec
+
  • 55 digital input/output pins, 35 PWM output pins
+
  • 18 analog input pins
+
  • 8 serial, 3 SPI, 3 I2C ports
+
  • 2 I2S/TDM and 1 S/PDIF digital audio port
+
  • 3 CAN Bus (1 with CAN FD)
+
  • 1 SDIO (4 bit) native SD Card port
+
  • Ethernet 10/100 Mbit with DP83825 PHY
+
  • 32 general purpose DMA channels
+
  • Cryptographic Acceleration & Random Number Generator
+
  • RTC for date/time
+
  • Programmable FlexIO
+
  • Pixel Processing Pipeline
+
  • Peripheral cross triggering
+
  • Power On/Off management
+

+Compare detailed specifications of all Teensy models.
+

+
+
+
+
Software

+

+
Arduino IDE + Teensy boards add-on

+
Arduino IDE software with Teensy Boards add-on
+is the primary programming environment for Teensy.  The
+add-on is installed using Arduino's Boards Manager.
+Teensy boards add-on includes a large collection of libraries which
+are tested and optimized for Teensy.  Other libraries may
+be installed manually or by Arduino's library manager.
+

+
+
Visual Micro

+
Visual Micro allows use of
+Microsoft Visual Studio to program Teensy and many other boards.
+Only Windows is supported.  Visual Micro is commercial paid software.

+
+
PlatformIO

+
PlatformIO IDE is
+a cross platform development environment with many advanced features.
+Windows, Linux and Macintosh are supported.

+
+
CircuitPython

+
CircuitPython
+provides a .HEX file which you program onto Teensy 4.1 using
+Teensy Loader.  Then Teensy appears
+to your computer as a USB disk, where copy or save your Python code.
+CircuitPython does not fully support all of Teensy 4.1's hardware.
+

+
+
Command Line with Makefile

+
Makefiles
+for non-graphical use are provided with the Teensyduino
+installer.
+
    
+
  • Teensy 4.x: {Arduino}/hardware/teensy/avr/cores/teensy4/Makefile
+
  • Teensy LC & 3.x: {Arduino}/hardware/teensy/avr/cores/teensy3/Makefile
+

+To get all required files, install 
+Arduino IDE 1.8.19
+and then run the Teensyduino
+installer.
+You don't need to use Arduino.  Simply installing gives you all the files
+and tools in the folder structure the Makefile expects.
+

+

+
+
+
Processor

+
+
+
+
+

+
+
Performance

+
ARM Cortex-M7 brings many powerful CPU features to a true real-time microcontroller
+platform.  CPU performance is many times faster than typical 32 bit microcontrollers.

+
+
Dual Issue Superscaler Architecture

+
Cortex-M7 is a dual-issue superscaler processor, meaning M7 can execute 2 instructions
+per clock cycle, at 600 MHz! Of course, executing 2 simultaneously depends upon the compiler
+ordering instructions and registers. Initial benchmarks have shown C++ code compiled by
+Arduino tends to achieve 2 instructions about 40% to 50% of the time while performing
+numerically intensive work using integers and pointers.

+
+
Floating Point Unit

+
The FPU performs 32 bit float and 64 bit double precision math in hardware.
+32 bit float speed is approximately the same speed as integer math.  64 bit
+double precision runs at half the speed of 32 bit float.

+
+
Tightly Coupled Memory

+
Tightly Coupled Memory is a special feature which allows Cortex-M7 fast single cycle
+access to memory using a pair of 64 bit wide buses. The ITCM bus provides a 64 bit path to
+fetch instructions. The DTCM bus is actually a pair of 32 bit paths, allowing M7 to
+perform up to 2 separate memory accesses in the same cycle. These extremely high speed
+buses are separate from M7's main AXI bus, which accesses other memory and peripherals.

+
+
Cache

+
Two 32K caches, one for instructions and one for data, are used to speed
+up repetitive access to non-TCM memory.
+

+
+
Branch Prediction

+
Cortex-M7 is the first ARM microcontroller to use branch prediction.
+On Cortex-M4 & earlier, loops and other code which much branch take 3 clock cycles. With M7, after a loop has executed a few times, the branch prediction removes that overhead, allowing the branch instruction to run in only a single clock cycle.

+
+
Digital Signal Processing

+
DSP extension instructions accelerate signal processing,
+filters and Fourier transform.
+The Audio library
+automatically makes uses of these DSP instructions.

+
+

+
+
+
+
+
Pins

+
+Teensy 4.1 has a total of 55 input/output signal pins.  42 are easily accessible
+when used with a solderless breadboard.
+

+This pinout reference card comes with Teensy 4.1.
+

+ 

+Pinout Card Files:
+Front Side (PDF) /
+Back Side (PDF)
+

+Cards printed before September 2021 incorrectly showed pin 53 with PWM.
+

+A larger, more detailed pinout chart by KurtE is also available on the forum.
+
+
+
Digital Pins

+
+

+
Digital Input Pins

+
Digital pins
+may be used to receive signals.  Teensy 4.1 pins default to
+INPUT most with a "keeper" resistor.
+Teensy 4.1 pins accept 0 to 3.3V
+signals.  The pins are not 5V tolerant.  Do not drive any digital pin higher
+than 3.3V.

+
+
Input Pullup / Pulldown / Keeper Resistors

+
All digital pins have optional pullup, pulldown, or keeper resistors.
+These are used to keep the pin at logic HIGH or logic LOW or the same
+logic level when it is not being
+actively driven by external circuity.  Normally these resistors are used
+with pushbuttons & switches.
+The pinMode function with INPUT_PULLUP or INPUT_PULLDOWN must be used to
+configure these pins to input mode with the built-in resistor.
+

+
+
Pin Change Interrupts

+
All digital pins can detect changes.  Use attachInterrupt to cause
+a function to be run automatically.  Interrupts should only be used for
+clean signals.  The
+Bounce library
+is recommended for detecting changes
+on pushbuttons, switches, and signals with noise or mechanical chatter.

+
+
Digital Output Pins

+
All digital pins can act at output.  The pinMode function with
+OUTPUT or OUTPUT_OPENDRAIN must be used to configure these pins to output
+mode.  The digitalWrite and digitalToggle functions are used to control
+the pin while in output mode.  Output HIGH is 3.3V.  The recommended
+maximum output current is 4mA.

+
+
Pulse Width Modulation (PWM)

+
35 of the digital pins support
+Pulse Width Modulation (PWM),
+which can be used to control
+motor speed, dim lights & LEDs, or other uses where rapid pulsing
+can control average power.  PWM is controlled by the analogWrite function.
+22 groups of PWM can have distinct frequencies, controlled by the
+analogWriteFrequency function.

+
+
Slew Rate Limiting

+
This optional feature greatly reduces high frequency noise when
+long wires are connected to digital output pins.  The rate of voltage
+change on the pin is slowed.  The extra time is only nanoseconds, which
+is enough to lower undesirable high frequency effects which can cause
+trouble with long wires.

+
+
Variable Drive Strength

+
The output impedance of each digital output may be controlled in
+7 steps, ranging from 150 ohms (weakest) up to about 21 ohms (strongest).

+
+
Adjustable Output Bandwidth

+
Digital output bandwidth is also programmable, in 4 steps: 50, 100,
+150 and 200 MHz.

+
+
LED Pin

+
Pin 13 has an orange LED connected.  The LED can be very
+convenient to show status info.  When pin 13 is used as an input,
+the external signal must be able to drive the LED when logic HIGH.
+pinMode INPUT_PULLUP should not be used with pin 13.

+
+

+
+
+
+
+
+
+
Analog Pins

+
+

+
Analog Inputs

+
18 pins can be used an analog inputs, for reading sensors or other
+analog signals.  Basic analog input is done with the analogRead function.
+The default resolution is 10 bits (input range 0 to 1023), but can be
+adjusted with analogReadResolution.  The hardware allows up to 12 bits
+of resolution, but in practice only up to 10 bits are normally usable
+due to noise.
+More advanced use is possible with the ADC library.
+
+

+
+
Analog Range

+
The analog input range is fixed at 0 to 3.3V.  On Teensy 4.1,
+the analogReference() function has no effect.  The analog pins
+are not 5V tolerant.  Do not drive any analog pin higher than 3.3 volts.

+
+
Analog Comparators

+
These comparators allow an analog signal to be converted to
+digital, with a precisely defined voltage threshold for logic
+low versus high.

+
+

+
+
+
+
Communication

+
+
+
+
+

+
USB Device

+
Teensy's primary communication is its main USB port, which operatates in USB device /
+peripheral mode at 480 Mbit/sec speed.  The Teensyduino software supports many different
+types of USB communication to your PC or Mac, selected by the Tools > USB Type menu.
+Several of these devices types may be used simultaneously.
+
    
+
  • Serial - Seen by your computer as a COM port (Windows) or serial device (Mac, Linux),
+Serial is the default and most commonly used communication type.  Bytes are transfered in
+both directions at maximum USB speed (baud rate settings are ignored).  Teensyduino
+has highly optimized code to allow fast USB serial data transfer.  While normally
+used with the Arduino Serial Monitor, Teensy's USB Serial mode is compatible with
+software designed for serial ports, like CoolTerm.  On Teensy, the seraild devices is
+accessed as "Serial".  In the Dual & Triple Serial modes, the additional serial
+devices are "SerialUSB1" and "SerialUSB2".
+
  • Emulated Serial - The USB Type settings lacking Serial use a HID interface
+to emulate serial.  In these modes, your PC or Mac will not detect a COM port or serial
+device, but you can still use Serial.print() to send text to the Arduino Serial Monitor.
+
  • MIDI - Musical Instrument Device.  MIDI is often used to interface knobs, sliders
+and buttons to music & sound control software.  MIDI messages may be sent in both
+directions.  Teensyduino's MIDI is "class compliant" for compatibility with Macintosh,
+Linux, and Windows using only built-in drivers.  The MIDIx4 & MIDIx16 modes provide
+4 or 16 virtual MIDI ports / cables.  The MIDI device name seen by your computer may
+be customized.
+
  • Audio - Bi-directional stereo audio streaming, seen by your computer as
+a USB sound card.  Using your computer's sound preferences, programs which play sound
+can stream to Teensy, and programs which record or process sound can receive, as if
+you were using a USB microphone.  USB Audio is meant to be used together with the
+Teensy Audio Library,
+allowing your computer's sound to integrate with any audio
+processing system you design on Teensy.
+
  • Keyboard - Standard 104 key USB keyboard.  Programs can transmit keystrokes
+to your computer, allowing control of nearly any software.  Media control keys (play,
+pause, volume, etc) may also be used.  Many non-US keyboard layouts are supported,
+using the Tools > Keyboard Layout menu.
+
  • Mouse - A special USB mouse is emulated.  Both relative motion of a
+normal mouse, and absolute screen position similar to a digitizer pen can be sent
+to your computer.  Mouse buttons and scroll wheel are also supported.
+
  • Joystick - A joystick / game controller with 6 axes (X, Y, Z, Zr, Slider1, Slider2),
+32 buttons, and 1 hat switch are supported.  The Joystick type is useful for controlling
+games or other software which responds to a joystick.
+
  • Touchscreen - Emulates a touchscreen capable of detecting up to 10
+finger positions.
+
  • MTP Disk - Media Transfer, seen by your computer as a phone or camera
+which shares files.
+
  • Flight Sim - Allows integration with the X-Plane flight simulator
+software.  Variables and controls within the simulator are linked to variables
+in your code running on Teensy.
+
  • Raw HID - Allows communicating 64 byte messages with custom written
+software on your computer.
+

+
+

+
+
+
+

+
+
USB Host

+
A second USB port operates in host mode, which allows you to connect USB
+devices to Teensy 4.1.  It is fully independent of the main USB device port, so
+USB devices you connect on the host port can simultaeously communicate with
+Teensy while Teensy communicates with your computer via the USB device port.
+This USB host port runs at 480, 12 or 1.5 Mbit/sec, depending on
+the speed if the device you connect.  USB hubs may be used to connect many
+USB devices.  The
+USBHost_t36 library
+is used for the USB host port.
+This USB host cable
+is normally used to connect a USB device or hub.
+An alternate USB Host library
+with GPL3 license is also available, for projects which fully release open source
+under GPL3 terms.
+

+
+
+
+
Serial

+
8 serial ports
+allow you to connect serial devices, such as MIDI,
+GPS receivers, DMX lighting, ESP wireless modules, etc.  All 8 serial ports
+are fully independent and can transfer data simultaneously.  None are
+shared with USB (as is done on some Arduino boards).  All 8 ports
+include FIFOs for better performance at high speed baud rates.

+
+
I2C

+
3 ports for I2C (signals SDA & SCL) allow connecting a wide
+variety of chips which use I2C communication.  The
+Wire library
+is used for I2C.  Each I2C chip connected
+to the same SDA/SCL wires needs a unique address.  Multiple I2C ports
+allow you to easily use more than 1 chip with the same address.  All
+I2C ports support 100, 400, and 1000 kbit/sec speeds.

+
+

+
+
+
+

+
+
SPI

+
3 ports for SPI (signals MOSI, MISO, SCK) allow connecting higher
+speed chips, SD cards, and displays which use SPI communication.
+The SPI library provides
+software support for SPI.  The
+first SPI port features a FIFO for higher sustained speed transfers.
+Each SPI chip requires a chip select (CS) signal.  Most libraries
+using SPI can use any digital pin.  The SPI ports provide special
+hardware controlled CS pins, which are used by specially optimized
+libraries for higher performance.
+

+
+
CAN

+
3 ports for CAN bus allow connecting to automotive & industrial
+control systems which use CAN communication.  A CAN transceiver chip
+must be added to complete the electrical interface between Teensy 4.1
+and the CAN bus.

+
+
FlexIO

+
FlexIO is a highly configurable peripheral, with a sort of build-your-own
+ports from a collection of shift registers, timers, logic and state machines.
+FlexIO can implement UARTs (serial), I2C, SPI, I2S audio, PWM.  Unique
+interfaces can also be built, such as the
+TriantaduoWS2811 library.
+

+
+
Ethernet

+
Teensy 4.1 contains an Ethernet controller and Ethernet PHY chip.
+To connect an Ethernet cable, only this
+RJ45 magjack kit
+is needed.
+Ethernet can also be
+implemented using the
+Wiznet W5500 and Wiz820 shield,
+connected to the SPI port.

+
+
+

+
+

+
+

+
+
+
+
Displays

+
+

+
+
ILI9341 Color TFT Display The best supported display for Teensy 4.1

+

+
+

+

+
ILI9341 320x240 Color TFT

+
These displays are the best supported on Teensy 4.1, with multiple high
+performance libraries for fast updates speed.
+ILI9341 is usually the best
+display to use, due to superior software support.

+
+
ST7735 Color TFT

+
These displays are slightly smaller and lower resolution than ILI9341.
+Highly optimized libaries for ST7735 & ST7789 allow these to also perform
+very well.

+
+
SSD1306 Monochrome OLED

+
These small displays are very popular and well supported.

+
+
Other Displays

+
Almost all displays with Arduino libraries work on Teensy 4.1.

+
+
Pixel Pipeline

+
A special graphic engine can perform color space transformation,
+alpha blending and chroma keying, bilinear resize and other operations
+one frame buffers.  Software support is
+still very experimental.
+

+
+

+
+
+
+
+
Audio

+
+
+

+
+
Audio Design Tool makes it easy to create
+an audio processing system which streams sound while your program runs.

+

+

+
+
+
+
+
+

+
I2S / TDM

+
Most commonly used with the audio shield,
+2 digital audio ports can simultaneously transmit and receive up to
+8 audio channels using I2S protocol, or up to 16 channels using
+TDM.
+Alternately, a special format used by inexpensive
+PT8211 DAC
+chips can be used.
+
    
+
  • I2SI - 1 stereo output pin, 1 stereo input pin, 3 stereo input or output pins
+
  • I2S2 - 1 stereo output pin, 1 stereo input pin
+

+

+
+
S/PDIF

+
The I2S port may be used to receive and transmit S/PDIF.  The S/PDIF
+is independent of both I2S/TDM ports and can be used simultaneously.  Either
+or both of the I2S ports may also be used to transmit S/PDIF.

+
+
Analog Input (ADC)

+
1 analog input pins may be used for audio inputs.  Using an ADC
+pin for audio input currently has only "experimental" software support.
+

+
+
MQS Output

+
This pulsed digital output which blends PWM with oversampling & noise
+shaping can be used to drive small speakers.  Or the output may be low-pass
+filtered to give analog signals.  While called "Medium Quality Sound", the
+performance is surprisingly good.

+
+

+
+
+

+
+
PT8211 is the least expensive DAC for good quality stereo signal output

+

+
+
+
+
+
+
Lights & LEDs

+
+
+
+

+
+
OctoWS2811 Library controlling 1920 WS2812B RGB LEDs at 30 Hz refresh rate

+

+
+

+

+
WS2812B / NeoPixel

+
Two high performance non-blocking libraries support use of WS2812B LEDs.
+OctoWS2811
+transmits any number of outputs in parallel, allowing almost any number LEDs to be
+refreshed at up to 30 Hz video rate.  On Teensy 4.1, OctoWS2811 supports use
+of any number of digital pins, not limited to only 8 pins as on Teensy 3.x.
+WS2812Serial
+transmits a single output,
+but up to 8 instances may be used.  Non-blocking transmission uses DMA to
+transmit automatically, while your code is able to continue running.  This
+much more allows complex animations or efficent communication than traditional
+blocking.

+
+
SmartMatrix & SmartLED Shield for HUB75 RGB LED Panels

+
SmartLED Shield
+(version 5) enables Teensy 4.1 to drive high-quality
+graphics to large HUB75 RGB LED panel arrays (from 32x16 up to 128x64 pixels).
+The SmartMatrix library
+makes it easy to draw basic graphics,
+create scrolling and static text, draw beautiful patterns using FastLED,
+and play animated GIFs on the panel.  SmartMatrix uses Teensy 4.1's special
+features to send graphics data with minimal CPU usage, so you can use the
+processor to do other tasks in parallel such as SPI communication, file
+decoding, or complex rendering.
+

+
+
DMX Lighting Control

+
Any of the 8 serial ports may be used for efficient communication with
+DMX lighting controllers.

+
+
RGB LEDs

+
Ordinary LEDs may be variable-brightness controlled by PWM, or the
+SoftPWM &
+ShiftPWM libraries.

+

+
+
+
+

+
+
ShiftPWM controlling 16 RGB LEDs using six 74HCT595 chips

+

+
+
+
+
+
+
Timing

+
+
+
+
+
+

+
Crystals & Clock Generation

+
Two crystals prodvide accurate timing.  A 24 MHz crystal is the
+basis for the system clock and most peripherals.  A phase locked loop (PLL)
+increases the 24 MHz up to the system clock speed.  A separate 32.768 kHz
+crystal is used for the Real Time Clock (RTC).  If a coin cell is added
+to VBAT, the 32.768 kHz oscillator continues keeping date/time while
+main power is off.

+
+
Interval Timers

+
4 timers are dedicated to running a function at precisely timed
+intervals.  These are configured using the
+IntervalTimer class.

+
+
PWM Timers

+
32 timers control PWM pins,
+or may be used for other timing functions.
+Normally these timers are accessed with analogWrite or libraries, but they
+have many very advanced features which may be accessed by direct hardware
+register use.
+
    
+
  • FlexPWM1 Module0 - Controls PWM pins 1, 44, 45.
+
  • FlexPWM1 Module1 - Controls PWM pins 0, 42, 43.
+
  • FlexPWM1 Module2 - Controls PWM pins 24, 46, 47.
+
  • FlexPWM1 Module3 - Controls PWM pins 7, 8, 25.
+
  • FlexPWM2 Module0 - Controls PWM pins 4, 33.
+
  • FlexPWM2 Module1 - Controls PWM pin 5.
+
  • FlexPWM2 Module2 - Controls PWM pins 6, 9.
+
  • FlexPWM2 Module3 - Controls PWM pins 36, 37.
+
  • FlexPWM3 Module0 - Controls PWM pin 53.
+
  • FlexPWM3 Module1 - Controls PWM pins 28, 29.
+
  • FlexPWM3 Module2 - No pins accessible.
+
  • FlexPWM3 Module3 - Controls PWM pin 41.
+
  • FlexPWM4 Module0 - Controls PWM pin 22.
+
  • FlexPWM4 Module1 - Controls PWM pin 23.
+
  • FlexPWM4 Module2 - Controls PWM pins 2, 3.
+
  • FlexPWM4 Module3 - No pins accessible.
+
  • QuadTimer1 Module0 - Controls PWM pin 10.
+
  • QuadTimer1 Module1 - Controls PWM pin 12.
+
  • QuadTimer1 Module2 - Controls PWM pin 11.
+
  • QuadTimer1 Module3 - No pins accessible.
+
  • QuadTimer2 Module0 - Controls PWM pin 13.
+
  • QuadTimer2 Module1 - No pins accessible.
+
  • QuadTimer2 Module2 - No pins accessible.
+
  • QuadTimer2 Module3 - No pins accessible.
+
  • QuadTimer3 Module0 - Controls PWM pin 19.
+
  • QuadTimer3 Module1 - Controls PWM pin 18.
+
  • QuadTimer3 Module2 - Controls PWM pin 14.
+
  • QuadTimer3 Module3 - Controls PWM pin 15.
+
  • QuadTimer4 Module0 - No pins accessible.  Used by OctoWS2811 library, ADC Library
+
  • QuadTimer4 Module1 - No pins accessible.  Used by OctoWS2811 library
+
  • QuadTimer4 Module2 - No pins accessible.  Used by OctoWS2811 library
+
  • QuadTimer4 Module3 - No pins accessible.  Used by Audio for ADC timing, and ADC Library
+
+

+

+
+
Watchdog Timer

+
3 separate watchdog timers are meant to reboot Teensy if your software crashes or
+gets stuck.  Once started, the watchdog timer must be periodically reset.
+If the software stops resetting the timer for too long, Teensy reboots.

+
+
Special Timers

+
These extra timers allow delays, analog sample rate timing, carrier modulation,
+and other special timing tasks to be performed, without consuming any of the
+normal PWM-oriented timers.
+
    
+
  • GPT1 - Generic 32 bit timer 
+
  • GPT2 - Generic Generic 32 bit Timer 
+
+
  • Quadrature Encoders - 4 special timers are meant for decoding
+quadrature signals.
+

+

+
+
Cycle Counter

+
A 32 bit counter increments every CPU clock cycle (600 MHz).  ARM_DWT_CYCCNT
+may be read by programs to precisely measure short time duration time.

+
+
SysTick

+
This system timer generates an interrupt every millisecond.  Most of the software
+timing features use this Systick timer.

+
+
Software Timing

+
Many common timing requirements can be met using the software timing features.
+
    
+
  • delay(), delayMicroseconds(), delayNanoseconds() - Simple delay for milliseconds, microseconds, or nanoseconds.
+
  • elapsedMillis, elapsedMicros - These C++ classes act as a variable which
+automatically increments ever millisecond or microsecond.  These can be written or
+modified as needed, which greatly simplifies implementation of repetitive tasks,
+measuring elapsed time, inactivity timeouts, and so on.  The number of these variable
+is only limited to the available memory.
+
  • millis(), micros() - Stardard Arduino functions for the system time
+in milliseconds and microseconds.
+

+

+
+
Real Time Clock - Date & Time

+
The RTC keeps track of date / time.  The
+Time library is typically used
+together with the RTC.  Teensy Loader automatically initializes
+the RTC to your PC's time while uploading.  If a coin cell is connected to VBAT,
+the RTC will continue keeping time while power is turned off.

+
+

+
+

+
+
CR2032 Coin Cell connected to VBAT allows Teensy 4.1 to keep date / time while power is off

+

+
+
+
+
Power

+
+

+
USB Power

+
Normally Teensy is powered by your PC or USB hub, through a USB cable.  The
+USB power arrives at the VUSB pin, which is connected VIN and powers the entire
+board.

+
+
VIN Pin

+
When USB power is not used, 5V power may be applied to the VIN pin.
+Because VIN & VUSB are connected, power should not be applied to VIN
+while a USB cable is used, to prevent the possibility of power flowing
+back into your computer.  Alternately, a pair of pads on the bottom side
+may be cut apart, to separate VUSB from VIN, allowing power to be safely
+applied while USB is in use.
+(TODO: VUSB-VIN pads photo, right side)
+

+
+
3.3V Power

+
Teensy 4.1 has a voltage regulator which reduces the 5V VUSB / VIN power
+to 3.3V for use by the main processor and most other parts.  Additional
+circuitry may be powered from the 3.3V pin.  The recommended maximum for
+external 3.3V usage is 250mA.  Teensy 4.1 is not meant to receive power on
+its 3.3V pin, but this can be done with
+special modificaton.

+
+
USB Host Hot Plugging

+
Power to USB devices connected on the USB host port is provided through
+a current limited switch and a large capacitor.  The current limit lessens
+the disruption to Teensy's power when a USB device is hot plugged and needs
+a sudden inrush current to charge up all its capacitors.

+
+
Power Consumption

+
 When running at 600 MHz, Teensy 4.0 consumes approximately 100 mA current.
+Reducing CPU speed to 528 MHz or lower reduces power consumption.

+
+
Low Power Features

+
Snooze library
+(TODO: more info here...)

+
+
CPU Voltage Control

+
A DC-DC buck converter creates lower voltage needed for the CPU.
+Software can control this voltage, in 50 mV steps.  At 600 MHz, the CPU
+runs on 1.25V.  For 528 MHz and lower, 1.15V is used.  At 24 MHz, the
+CPU runs on only 0.95 volts.  When overclocking, higher voltages are
+automatically used.
+

+
+
VBAT

+
A 3 volt coin cell may be connected to VBAT & GND to allow the
+RTC to keep track of date / time while power is off.  A CR2032 type
+battery is recommended, though other 3V coin cells may also be used.

+
+
On / Off Pin and Power Control

+
A special low power state which turns off the 3.3V power can be
+controlled by the On/Off pin.  A pushbutton is meant to be connected
+between On/Off and GND.  While running, holding the button for 4 seconds
+turns off power.  Pressing for 0.5 seconds while power is off turns the
+3.3V power back on and reboots the processor.  If a coin cell is connected
+to BVAT, the power state is retained when main power is disconnected.
+Without VBAT, the power state always defaults to 3.3V power on, even if
+the On/Off button had been used to turn off 3.3V before main VIN/VUSB
+power was removed.

+
+

+
+
+
+
+
Memory

+
+
+

+
+
Four Memory Regions On Teensy 4.1

+

+
+

+

+
Program / Flash Memory

+
Teensy 4.1 has 8 Mbyte of flash memory intended for storing your
+code.  The flash memory can also store read-only variables and arrays.
+A portion of the flash memory may be used for file storage using
+the LittleFS library. The top 256K of this memory is reserved for
+EEPROM emulation data and the LED blink restore program.

+
+
RAM

+
1024K of memory is available for variables and data.  Half of
+this memory (RAM1) is accessed as tightly coupled memory for maximum
+performance.  The other half (RAM2) is optimized for access by DMA.
+Normally large arrays & data buffers are placed in RAM2, to save
+the ultra-fast RAM1 for normal variables.
+

+
+

+
+
+
+

+
+
EEPROM

+
4284 bytes of emulated EEPROM memory is supported.  Writing
+to this memory temporarily stalls code execution from flash.  The
+EEPROM library is typically used to
+access this memory.  AVR libc functions may also be used.

+
+
QSPI Memory Expansion

+
Teensy 4.1 has 2 locations to add 8 pin QSPI memory chips.  Both
+locations support 8MB PSRAM chips.  If only 1
+PSRAM chip is used, it must be solded to the smaller pads.
+The larger pads may be used with certain flash memory chips supported
+by the LittleFS library.

+
+
Static Allocation Keywords

+
When the compiler builds your program, all global variables, static variables,
+and compiled code is assigned to dedicated locations in memory.  This is called
+static allocation, because the memory addresses are fixed.  By default, allocation
+tries to use the ultra-fast DTCM & ITCM memory.  The following keywords allow
+control over where the compiler will place your variables and code within the memory.
+
    
+
  • DMAMEM - Variables defined with DMAMEM are placed at the beginning of RAM2. Normally buffers and large arrays are placed here. These variables can not be initialized, your program must write their initial values, if needed.
+
  • EXTMEM - Variables defined with EXTMEM are placed in the optional PSRAM memory chip soldered to the QSPI memory expansion area on bottom side of Teensy 4.1.  These variables can not be initialized, your program must write their initial values, if needed.
+
  • PROGMEM & F() - Variables defined with PROGMEM, and strings surrounded by F() are placed only in the flash memory. They can be accessed normally, special functions normally used on 8 bit boards are not required to read PROGMEM variables.
+
  • FASTRUN - Functions defined with "FASTRUN" are allocated in the beginning of RAM1. A copy is also stored in Flash and copied to RAM1 at startup. These functions are accessed by the Cortex-M7 ITCM bus, for the fastest possible performance. By default, functions without any memory type defined are treated as FASTRUN. A small amount of memory is typically unused, because the ITCM bus must access a memory region which is a multiple of 32K.
+
  • FLASHMEM - Functions defined with "FLASHMEM" executed directly from Flash. If the Cortex-M7 cache is not already holding a copy of the function, a delay results while the Flash memory is read into the M7's cache. FLASHMEM should be used on startup code and other functions where speed is not important.
+

+
+
Dynamic Allocation

+
As your program runs, it may use all of the RAM which was not reserved by
+static allocation.  Because the specific memory address for each variable is
+computed as your program runs, this is called dynamic memory allocation.
+
    
+
  • Local Variables - Local variables, and also return addresses from function calls and the saved state from interrupts are placed on a stack which starts from the top of RAM1 and grown downward. The amount of space for local variable is the portion of RAM1 not used by FASTRUN code and the initialized and zeroed variables. 
+
  • Heap - Memory allocated by C++ "new" and C malloc(), and Arduino String variables
+are placed in RAM2, starting immediately after the DMAMEM variables.
+
  • External Heap - If PSRAM has been added, extmem_malloc() may be used to allocate
+this memory, started immediately after the EXTMEM variables.  When no PSRAM is present,
+extmem_malloc() automatically allocated memory from the normal heap in RAM2.
+

+
+
+
RTC RAM

+
16 bytes of memory are located within the RTC.  If a coin
+cell is connected to VBAT, contents of this memory is preserved
+while power is off.  This memory is accessed as 32 bit registers
+LPGPR0-LPGPR3.

+
+
SD Card

+
A built in SD socket allows you to use SD cards for large
+data storage.  The Arduino SD library is used to access the card,
+using SD.begin(BUILTIN_SDCARD).  This built in SD socket uses
+fast 4 bit native SDIO to access the card.  SD cards may also
+be used via the SPI pins, with SD.begin(cspin), using the slower
+single bit SPI protocol to access the card.

+
+
SPI Flash

+
Flash memory chips may be added using the SPI pins.  These
+are supported by the SerialFlash and LittleFS libraries.

+
+

+
+TODO: internal bus structure diagram
+
+
+
Programming

+
+
+
+
+

+
Teensy Loader

+
Programming of Teensy's flash memory is done by the
+Teensy Loader application.
+Normally the Arduino IDE or other software is used to
+compose code, and it automatically runs Teensy Loader as needed.  If
+you have compiled code in HEX file format, Teensy Loader can be used
+stand-alone to write your HEX file into Teensy's flash memory.

+
+
Automatic Software Entry to Program Mode

+
While developing with Teensy, loading normally happens automatically
+after compiling your program.  A "teensy_reboot" utility looks for your
+Teensy on all USB ports and sends a request (serial baud rate or HID feature
+report) to automatically switch to programming mode.

+
+
Program Pushbutton / Pin

+
If code previously written to Teensy is not listening for USB
+communication, automatic entry to programming mode is not possible.
+A physical pushbutton is provided to allow recovery from bad code.
+Pressing the button button puts Teensy into programming mode.  It is
+not a "reset button" which restarts your program.  The button is
+dedicated to recovery from bad code.  A Program pin also allows
+external hardware to force entry to programming mode.
+

+
+

+
+
+
+

+
+
Red LED: Bootloader Active & Flash Writing

+
A red LED is dedicated to showing the bootloader status.  When
+the bootloader is active but waiting for PC communication, this red
+LED is dim.  While actually writing to the flash memory, it is on
+bright.

+
+
Reset

+
Teensy 4.1 does not have a hardware reset signal
+available.  Reset can be accomplished under software control
+using the watchdog timers or SCB_AIRCR register.

+
+
Memory Wipe & LED Blink Restore

+
Teensy 4.1 will fully erase its non-volatile memory and return
+the flash memory to a simple LED blink program if the
+program button is held between 13 to 17 seconds.  The red LED
+flashes briefly at the beginning of this time window.  During
+flash erase, the red LED is on bright.  When completed, Teensy 4.1
+will automatically reboot and run the LED blink program, causing
+the orange LED to blink slowly.
+

+
+
Bootloader Chip

+
Teensy 4.1's bootloader is stored in a dedicated chip.  All
+of the main chip's memory is available to your program.  Upon
+power up, your program runs immediately.  The bootloader does
+not run automatically at startup, as is done with most Arduino
+compatible boards.  The physically separate chip keeps Teensy's
+bootloader separate from your code and prevents flash programming
+from being able to damage or erase the bootloader.
+

+
+

+
+
+

+
+

+

+
+
+
+
Code Security

+
+
+

+
+
Secure Firmware Update

+
When locked, Teensy 4.1 can be reprogrammed using encrypted EHEX files.
+EHEX files may be published to allow anyone to securely update firmware.
+Your private key is needed only to create the EHEX file, which then may
+be loaded onto the hardware by people without access to your key.  Once
+locked, Teensy can only be programmed by EHEX files created using your key.
+

+
+
Program Memory Protection

+
Code security
+protects your program code from unauthorized access and coping.
+When compiling, your program is encrypted.  When run, the IMXRT Bus Encryption
+Engine provides on-the-fly decryption as your program executes.
+If an attacker removes and reads the
+flash memory chip from Teensy 4.1, or attempt to capture the USB communication
+from Teensy Loader, or copies the EHEX file Teensy Loader opens, they get only an
+encrypted copy of your program.
+

+
+

+
+

+

+
+
+
Secure Firmware Update

+
Users can be given an EHEX file and Teensy Loader to securely update
+commercial products or secure applications which embed a Lockable Teensy,
+without gaining access to the original program code.  Of course the
+key already in its fuse memory and secure mode locked when the product
+is shipped.
+

+
+
Permanent Secure Mode

+
Brand new Teensy 4.1 can only run unencrypted programs.  Once a key is written
+into fuse memory, either encrypted or unencrypted programs can run.  Secure mode
+permanently disables the ability to run unencrypted code, and activates hardware
+security features.
+

+
+
+
+
+
Lockable Teensy

+
Secure mode can only be activated on Lockable Teensy.  While Standard and
+Lockable Teensy are identical hardware, the permanent fuse configuation differs.
+Standard Teensy does not allow changes to fuses affecting boot or other critical
+configuration.  Standard Teensy is meant to safe from "bricking" by programs
+which could write to fuse memory, but this safety means secure mode can not be
+activated.  Standard Teensy can have a key written and can run encrypted code,
+but encryption alone is not fully secure.  Only Lockable Teensy provides
+proper code security, and only when a key is written and secure mode is locked.
+

+
+
Authentication

+
The encryption process includes digital signature authentication.  In secure
+mode, this signature is checked before any code can be decrypted.
+

+
+
JTAG Disable

+
Secure mode permanently disables the JTAG port.  To enter programming mode
+without JTAG, Teensy Loader and the EHEX file automatically utilize a loader
+utility which is authenticated by your key's digitial signature, and in turn
+uses secure hash checks to fully authenticate all components of the programming
+process.
+

+
+
EHEX File Format

+
Teensyduino packages your encrypted code, metadata, a startup shim, loader
+utility, digital signatures and other essential details into a single EHEX file.
+This EHEX may be given to customers or untrusted parties to perform code updates
+with the convenice of a single file.  The EHEX format and encryption details
+are documented on the code security page 
+

+
+
Key Management

+
To make creating and using your key simple, Teensyduino adds a "Teensy 4 Security"
+window to the Arduino Tools menu.  These functions can also be accessed from
+a command line utility for use from non-Arduino tools or automated scripts.
+

+

+
+

+
+
Tools > Teensy 4 Security - Create Your Key and Write to Fuse Memory

+

+
+
+
+
+
Special Features

+
+

+
Nested Interrupt Controller

+
Priority nesting allows low latency for critical interrupts
+while lower priority interrupts are in use.  Teensyduino's libraries
+utilize interrupt nesting with priority level defaults which allow
+many types of libraries to work well when used together.

+
+
Direct Memory Access (DMA)

+
Teensy 4.1 has a general purpose 32 channel DMA controller.
+Optimized Audio, LED and display libraries make uses of these DMA
+channels.  A DMAChannel.h abstraction layer is provided.  The
+USB device, USB host, SD card and Ethernet peripherals also have
+specialized DMA engines built in.

+
+
Random Number Generator

+
True random number hardware is capable of generating random
+data at (TBD) rate.  The Entropy library is used to access the random
+number generator.

+
+
Cryptographic Acceleration

+
Symetric ciphers and one-way hash can be computed by hardware,
+but currently no library support exists to utilize this hardware.
+

+
+
Temperature Sensor

+
A built in temperature sensor allows reading the temperature
+inside the main chip.  The
+InternalTemperature library
+can be used to access this sensor.

+
+

+
+
+
+
+
+
+
+
+
+
+
+
Technical Information

+
+
+
+
Dimensions

+

+

+

+

+

+

+

+Finished hole diameter is 0.965mm (59 locations) and 0.762mm (6 locations).
+

+User contributed
+3D CAD models
+may be available on the forum.
+
+
Schematic

+
+
+
Component Locations

+

+
+
+
Design Changes

+
+Teensy 4.1 manufactured after July 2021 has U1 part number MIMXRT1062DVJ6B.  Prior boards
+had the older version ending with "A".  The "B" version fixes obscure hardware bugs with
+CAN bus and USB device isochronous mode.
+

+Teensy 4.1 manufactured after March 2022 has TLV75733P (U4) replaced by NCV8186AMN330TAG,
+and BAT54C (D1,D2) replaced by BAS40-05V.
+

+

+

+Teensy 4.1 manufactured after June 2022 has U2 replaced by GD32E230F8.
+See this forum thread
+for new JTAG pin locations.
+

+Teensy 4.1 manufactured after August 2022 has R7 changed to 470K, which
+helps with startup with VUSB-VIN is lower than 3.8V.
+

+Teensy 4.1 manufactured after March 2023 has U4 replaced by TLV75533P,
+D1-D2 replaced by BAT54CTB6, and a
+different SD socket
+(J2).
+
+
+
+
+
Test Points

+

+
+
+
+

+
+
+
+
Regulatory Compliance

+
+For Teensy 4.1 manufactured and sold by SparkFun Electronics, after March 2025:
+
+
+
+
+
+For Teensy 4.1 manufactured and sold by PJRC, before March 2025:
+
+
+
+

+
+
+

+
+
+
\ No newline at end of file
diff --git a/firmware/teensy41/documents/Teensy® 4.1_files/a.gif b/firmware/teensy41/documents/Teensy® 4.1_files/a.gif
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diff --git a/firmware/teensy41/documents/Teensy® 4.1_files/teensy41_qspi_pinout.png b/firmware/teensy41/documents/Teensy® 4.1_files/teensy41_qspi_pinout.png
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