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diff --git a/aesgcmanalysis.py b/aesgcmanalysis.py new file mode 100644 index 0000000..db919e1 --- /dev/null +++ b/aesgcmanalysis.py @@ -0,0 +1,482 @@ +import random, struct, hmac +from Crypto.Cipher import AES +import numpy as np + +## Computation in GF(2^128)/(x^128 + x^7 + x^2 + x^1 + 1) + +class X: + def __pow__(self, y): + return 1 << y +x = X() +gcm_modulus = x**128 + x**7 + x**2 + x**1 + 1 +gcm_modulus_degree = 128 + +def gf128_deg(x): + """Compute the degree of x. + >>> assert gf128_deg(x**20 + x**5 + 1) == 20 + >>> assert gf128_deg(x**90) == 90 + >>> assert gf128_deg(x**1) == 1 + >>> assert gf128_deg(1) == 0 + >>> assert gf128_deg(0) == -1 + """ + return x.bit_length() - 1 + +def gf128_add(a, b): + """Compute a + b. + >>> assert gf128_add(0, 0) == 0 + >>> assert gf128_add(x**7 + x**2, 0) == x**7 + x**2 + >>> assert gf128_add(x**7 + x**2, x**2 + x**1) == x**7 + x**1 + >>> assert gf128_add(x**7 + x**2, x**7 + x**2) == 0 + """ + return a ^ b + +def gf128_mul(a, b): + """Compute ab. + >>> assert gf128_mul(x**20 + x**5 + 1, x**13 + x**2) == x**33 + x**22 + x**18 + x**13 + x**7 + x**2 + >>> assert gf128_mul(x**80, x**90) == x**49 + x**44 + x**43 + x**42 + >>> assert gf128_mul(x**23 + x**5, 1) == x**23 + x**5 + """ + if a == 0 or b == 0: + return 0 + if a > b: + return gf128_mul(b, a) + p = 0 + deg_b = gf128_deg(b) + while a > 0: + if a & 1: + p ^= b + a = a >> 1 + b = b << 1 + deg_b += 1 + if deg_b == gcm_modulus_degree: + b = b ^ gcm_modulus + deg_b = gf128_deg(b) + return p + +def gf128_divmod(a, b): + """Compute q, r such that a = qb + r. + >>> assert gf128_divmod(x**20 + x**5 + 1, x**13 + x**2) == (x**7, x**9 + x**5 + 1) + >>> assert gf128_divmod(x**90, x**80) == (x**10, 0) + """ + q, r = 0, a + while gf128_deg(r) >= gf128_deg(b): + d = gf128_deg(r) - gf128_deg(b) + q = q ^ (1 << d) + r = r ^ (b << d) + return q, r + +def gf128_mod(a, m=gcm_modulus): + """Compute b such that a = b; gf128_deg(b) < gf128_deg(m). + >>> assert gf128_mod(x**220 + x**5 + 1, x**50 + x**4) == x**36 + x**5 + 1 + >>> assert gf128_mod(x**130 + x**64 + x**2) == x**64 + x**9 + x**4 + x**3 + """ + q, r = gf128_divmod(a, m) + return r + +def gf128_egcd(a, b): + """Compute g, x, y such that g | a, g | b, g = ax + by; + for any h such that h | a and h | b, gf128_deg(g) >= gf128_deg(h). + >>> assert gf128_egcd(x**2 + 1, x**1 + 1) == (x**1 + 1, 0, 1) + >>> assert gf128_egcd(x**12 + x**4, x**5 + 1) == (x**1 + 1, x**3 + x**2 + 1, x**10 + x**9 + x**7 + x**5 + x**4 + x**1 + 1) + >>> assert gf128_egcd(x**64 + x**2, x**37 + x**12 + 1) == (1, x**35 + x**34 + x**33 + x**31 + x**30 + x**28 + x**27 + x**25 + x**24 + x**21 + x**20 + x**18 + x**17 + x**15 + x**14 + x**12 + x**11 + x**9 + x**7 + x**6 + x**4 + x**3 + x**1 + 1, x**62 + x**61 + x**60 + x**58 + x**57 + x**55 + x**54 + x**52 + x**51 + x**48 + x**47 + x**45 + x**44 + x**42 + x**41 + x**39 + x**38 + x**37 + x**35 + x**34 + x**32 + x**31 + x**29 + x**28 + x**26 + x**25 + x**24 + x**22 + x**21 + x**19 + x**18 + x**16 + x**15 + x**13 + x**12 + x**11 + x**9 + x**8 + x**6 + x**5 + x**3 + x**2 + 1) + """ + orig_a = a + orig_b = b + a_x = 1 + a_y = 0 + b_x = 0 + b_y = 1 + # Invariant = a_x*x + a_y*y = a, b_x*x + b_y*y = b, r_x*r + r_y*y = r + r_x = 0 + r_y = 1 + if a == 0: + return b, r_x, r_y + while True: + q, r = gf128_divmod(b, a) + if r == 0: + # FIX mul so mod isn't necessary; with zeros + assert a == gf128_mod(gf128_add(gf128_mul(orig_a, r_x), gf128_mul(orig_b, r_y))) + return a, r_x, r_y + r_x = gf128_add(b_x, gf128_mul(q, a_x)) + r_y = gf128_add(b_y, gf128_mul(q, a_y)) + a, b = r, a + b_x, b_y = a_x, a_y + a_x, a_y = r_x, r_y + +def gf128_inv(a): + """Compute b such that ab = 1. + >>> assert gf128_inv(x**1) == x**127 + x**6 + x**1 + 1 + >>> assert gf128_inv(x**4) == x**127 + x**125 + x**124 + x**6 + x**4 + x**3 + x**1 + 1 + """ + g, xx, yy = gf128_egcd(a, gcm_modulus) + assert g == 1 + return xx + +def gf128_exp(a, n): + """Compute a^n. + >>> assert gf128_exp(x**2 + 1, 0) == 1 + >>> assert gf128_exp(x**2 + 1, 1) == x**2 + 1 + >>> assert gf128_exp(x**2 + 1, 2) == x**4 + 1 + >>> assert gf128_exp(x**2 + 1, 10) == x**20 + x**16 + x**4 + 1 + """ + if n == 0: + return 1 + rec = gf128_exp(a, n//2) + rec = gf128_mul(rec, rec) + if n % 2 == 1: + rec = gf128_mul(rec, a) + return rec + +## Computation in GF(2^128)[X]/(x^128 + x^7 + x^2 + x^1 + 1) + +# Get rid of trailing zeros? +def collapse(x): + if len(x) == 0: + return x + if x[-1] == 0: + return collapse(x[:-1]) +# CAN WE REMOVE MOD? + return [gfmod(y, m) for y in x] + +def gf128polyring_deg(x): + return len(x) - 1 +# assert gf128deg([x**1, x**1, x**1]) == 2 +def gf128polyring_add(a, b): + return collapse([gfadd(x, y) for x, y in zip_longest(a, b, fillvalue=0)]) +# assert gf128add([x**1, x**1, x**1, x**1], [x**2, x**3, x**4]) == [x**1+x**2, x**1+x**3, x**1+x**4, x**1] +def gf128polyring_sub(a, b): + return gf128add(a, b) + +def gf128polyring_cmul(c, a): + return collapse([gfmul(x, c) for x in a]) + +def gf128polyring_mul(a, b): + a = a.copy() + b = b.copy() + + p = [] + while gf128deg(a) >= 0: + p = gf128add(p, gf128cmul(a[0], b)) + a = a[1:] + b = [0] + b + return collapse(p) + +def gf128polyring_divmod(a, b): + q, r = [], [] + while gf128deg(a) >= gf128deg(b): + highA = a[-1] + highB = b[-1] + highBinv = 1 if highB == 1 else gfmodinv(highB, m) + #print(highA, highBinv) + qq = gfmodmul(highA, highBinv, m) + #qq, rr = gfdivmod(highA, highB) + #assert rr == 0 + de = gf128deg(a) - gf128deg(b) + new_term = [0]*(de+1) + new_term[de] = qq + q = gf128add(q, new_term) + fact = gf128mul(b, new_term) + a = gf128sub(a, fact) + + return collapse(q), collapse(a) + +def InverseFrobeniusAutomorphismGF128(x): + return gfmodexp(x, 2**127, m) # https://math.stackexchange.com/questions/943417/square-root-for-galois-fields-gf2m + +def gf128polyring_sqrt(p): + p = p.copy() + q = [] + for x in p: + if x == 0 or x == 1: + q.append(x) + else: + inv = InverseFrobeniusAutomorphismGF128(x) + q.append(inv) + #print(q) + p = q + for i in range(2,len(p),2): + p[i//2] = gfadd(p[i//2], p[i]) + p[i] = 0 + return collapse(p) + +def gf128polyring_monic(p): + p = p.copy() + finalCoeff = p[-1] + if finalCoeff == 1: + return p + inv = gfmodinv(finalCoeff, m) + return [gfmodmul(x, inv, m) for x in p] + +def gf128polyring_formal_derivative(p): + q = [] + for i, x in enumerate(p): + if i == 0: + continue + if i % 2 == 0: + e = 0 + else: + e = x + q.append(e) + return collapse(q) + +def gf128polyring_sff(f): + R = [] + assert f[-1] == 1, 'monic' + fprime = gf128formal_derivative(f) + #print('fprime', fprime) + c = gf128gcd(f, fprime) + #print('c', c) + w, r = gf128divmod(f, c) + #print('w', w) + assert r == [] + i = 1 + while w != [1]: + y = gf128gcd(w, c) + #print('y', i, y) + fac, r = gf128divmod(w, y) + #print('fac', i, fac) + assert r == [] + R.append((fac, i)) + w = y + c, r = gf128divmod(c, y) + #print('c', i, c, r) + assert r == [] + i = i + 1 + if c != [1]: + #print('sqrt of', ds(c)) + c = gf128sqrt(c) + c = gf128monic(c) + #print('rec', ds(c)) + Rrec = gf128sff(c) + R += [(fac, i*2) for (fac, i) in Rrec] + return R + # Frobenius automorphism??? + +def gf128polyring_modmul(a, b, m): + c = gf128mul(a, b) + q, r = gf128divmod(c, m) + return r +def gf128polyring_modexp(a, n, m): + if n == 0: + return [1] + rec = gf128modexp(a, n//2, m) + rec2 = gf128modmul(rec, rec, m) + if n % 2 == 1: + rec2 = gf128modmul(rec2, a, m) + return rec2 +def ddf(f): + i = 1 + S = set() + f_ = f.copy() + + while gf128deg(f_) >= 2 * i: + qq = gf128modexp([0, 1], 2**(128*i), f_) + qq = gf128add(qq, [0, 1]) + g = gf128gcd(f_, qq) + #print('gcd', ds(f_), '||', qq, '||', ds(g)) + if g != [1]: + S.add((tuple(g), i)) + q, r = gf128divmod(f_, g) + assert r == [] + f_ = q + i += 1 + if f_ != [1]: + #print('last') + S.add((tuple(f_), gf128deg(f_))) + if len(S) == 0: + return {(tuple(f), 1)} + else: + return S + +exp = (2**128-1)//3 +def gfrand(): + return random.randint(0, 2**128-1) +def gf128polyring_rand(degree): + qq= [gfrand() for _ in range(degree+1)] + return qq +def edf(f, d): + n = gf128deg(f) + r = n//d + S = {tuple(f)} + while len(S) < r: + h = gf128rand(n-1) + g = gf128gcd(h, f) + if g == [1]: + g = gf128add(gf128modexp(h, exp, f), [1]) + for u in list(S): + u = list(u) + if gf128deg(u) == d: + continue + gugcd = gf128gcd(g, u) + if gugcd != [1] and gugcd != u: + S.remove(tuple(u)) + S.add(tuple(gugcd)) + qq, rr = gf128divmod(u, gugcd) + assert rr == [] + S.add(tuple(qq)) + #print("Iteration", S) + return S + +def factorize(f): + #print('Computing factors over GF(2^128)/[y](x^128+x^7+x^2+x+1) of', ds(f)) + factors = set() + f = gf128monic(f) + #print('Reduced to monic polynomial', ds(f)) + fs = gf128sff(f) + for p, _ in fs: + #print('Computed square-free factor', ds(p)) + qs = ddf(p) + for q, d in qs: + #print('Computed distinct-degree factor', ds(q), 'of degree', d) + rs = edf(list(q), d) + #for r in rs: + # print('Computed equal-degree factor', ds(r)) + factors |= rs + return factors + +def monic_roots(factors): + roots = [] + for factor in factors: + if gf128deg(factor) == 1: + roots.append(factor[0]) + return roots + +## AES-GCM + +def reverse_mask(b): + # from https://stackoverflow.com/a/2602885 + b = (b & 0xF0) >> 4 | (b & 0x0F) << 4; + b = (b & 0xCC) >> 2 | (b & 0x33) << 2; + b = (b & 0xAA) >> 1 | (b & 0x55) << 1; + return b; + +def bytes_to_gf128(xs, st=None, en=None): + if st is None and en is None: + st = 0 + en = 16 + a, b = struct.unpack('<QQ', bytes(reverse_mask(xs[i]) for i in range(st, en))) + return a + (b << 64) + +def gf128_to_bytes(n): + s = b'' + while n != 0: + c = n & 0xff + f = 0 + for i in range(8): + if c & (1 << i): + f += (1 << (7-i)) + s += int.to_bytes(f, 1, 'big') + n >>= 8 + s += b'\x00' * (16 - len(s)) + assert len(s) == 16 + return s + +def gmac(h, s, aad, c): + assert len(n) == 12 + blocks = build_blockseq(ad, c) + g = 0 + for i in range(len(blocks)//16): + block = bytes_to_gf128(blocks, i*16, (i + 1)*16) + g = gf128_add(g, block) + g = gf128_mul(g, h) + t = gf128_add(g, s) + return gf128_to_bytes(t) + +def ecb_encrypt(key, xs): + c = AES.new(key, AES.MODE_ECB) + return c.encrypt(xs) + +def xor(a, b): + return bytes([(x^y) for (x, y) in zip(a, b)]) + +def gctr(k, nonce, x): + y = b'' + ctr = (int.from_bytes(nonce, 'big') << 32) + 2 + i = 0 + while len(y) < len(x): + c += xor(x[i*16:(i + 1)*16], ecb_encrypt(k, ctr.to_bytes(16, 'big'))) + ctr += 1 + i += 1 + return y + +def authentication_key(k): + return bytes_to_gf128(ecb_encrypt(k, b'\x00'*16)) + +def blind(k, n): + return bytes_to_gf128(ecb_encrypt(k, nonce + b'\x00\x00\x00\x01')) + +def gcm_encrypt(k, nonce, aad, m, mac_bytes=16): + c = gctr(k, nonce, m) + mac = gmac(authentication_key(k), blind(k, nonce), aad, c) + return c, mac[:mac_bytes] + +def gcm_decrypt(k, nonce, aad, c, mac, mac_bytes=16): + m = gctr(k, nonce, c) + expected_mac = gmac(authentication_key(k), blind(k, nonce), aad, c)[:mac_bytes] + assert hmac.compare_digest(mac, exp_mac), f'Expected MAC {exp_mac.hex()}, got {mac.hex()}' + return m + +## Forbidden Attack + +def compute_polydiff(ad1, ct1, mac1, ad2, ct2, mac2): + bs1 = build_blockseq(ad1, ct1) + bs2 = build_blockseq(ad2, ct2) + if len(bs1) < len(bs2): + bs1 = b'\x00'*(len(bs2)-len(bs1)) + bs1 + else: + bs2 = b'\x00'*(len(bs1)-len(bs2)) + bs2 + assert len(bs1) == len(bs2) + #print(bs1.hex()) + #print(bs2.hex()) + f = [] + N = len(bs1)//16 + for i in range(N): + b1 = binToGF128(bs1[i*16:(i+1)*16]) + b2 = binToGF128(bs2[i*16:(i+1)*16]) + c = gfadd(b1, b2) + f.append(c) + mac1gf = binToGF128(mac1) + mac2gf = binToGF128(mac2) + macSgf = gfadd(mac1gf, mac2gf) + f.append(macSgf) + return list(reversed(f)) + +def forge_gcm_tag(h, origAd, origCt, newAd, newCt, tag, n): + # First recover s for the nonce + tag_ = gmac(h, 0, origAd, origCt, n) + s = gfadd(binToGF128(tag), binToGF128(tag_)) + tag = gmac(h, s, newAd, newCt, n) + return tag +def gcm_repeatednonce_attack(factors, n, ad1, ct1, mac1, ad2, ct2, mac2): + #f=compute_polydiff(ad1, ct1, mac1, ad2, ct2, mac2) + #factors = factorize(f) + roots = monic_roots(factors) + h = None + tags = [] + for root in roots: + forged_tag = forge_gcm_tag(root, ad1, ct1, ad2, ct2, mac1, n) + tags.append(forged_tag) + return tags +# tag_guesses = gcm_repeatednonce_attack(factors, n, ad1, ct1, mac1, ad2, ct2, mac2) + + +def d(n): + if n == 0: + return '0' + s = [] + k = 0 + while n > 0: + if n & 1 == 0: + k += 1 + n >>= 1 + continue + if k == 0: + s.append('1') + elif k == 1: + s.append('x') + else: + s.append('x^' + str(k)) + n >>= 1 + k += 1 + return ' + '.join(reversed(s)) + diff --git a/index.html b/index.html new file mode 100644 index 0000000..7b4572b --- /dev/null +++ b/index.html @@ -0,0 +1,148 @@ +<!DOCTYPE html> +<html> + <head> + <title>Forbidden Salamanders</title> + <meta charset="utf-8"> + <meta name="viewport" content="width=device-width, initial-scale=1.0"> + <link rel="stylesheet" type="text/css" href="/static/styles.css"> + <link rel="stylesheet" type="text/css" href="/forbidden-salamanders/static/styles.css"> + <link rel="shortcut icon" type="image/x-icon" href="/forbidden-salamanders/static/favicon.ico"> + </head> + <body> + <div class="container"> + <div> + <div class="home"> + <a href="/forbidden-salamanders" class="home-title">Forbidden Salamanders</a> + <span> at </span><a href="/">cyfraeviolae.org</a> + </div> + <div class="crumbs"> + <a href="/git/forbidden-salamanders">source code</a> + <span class="sep"> · </span> + <a href="/forbidden-salamanders/nonce-reuse">nonce reuse</a> + <span class="sep"> · </span> + <a href="/forbidden-salamanders/nonce-truncation">nonce truncation</a> + <span class="sep"> · </span> + <a href="/forbidden-salamanders/key-commitment">key commitment</a> + </div> + </div> + <p> + The FIPS-compliant sorcerer Roseacrucis uses the <a href="https://en.wikipedia.org/wiki/Galois/Counter_Mode">Advanced Encryption Standard in Galois/Counter Mode</a> + to correspond with his retinue. The Library’s cryptanalysts + have intercepted the communication channel, but we need your + help to exploit their broken protocols. + </p> + <p> + Choose one of the following missions. + </p> + <p> + <strong><a href="#">Nonce reuse</a>.</strong> Due to rising entropy + prices, Roseacrucis has started to reuse nonces. You must perform the + Forbidden Attack in order to recover the authentication key and + forge arbitrary ciphertext. + </p> + <p> + <strong><a href="#">Nonce truncation</a>.</strong> The sorcerer + aims to conserve bandwidth by truncating nonces from twelve bytes + to four. Use the enemy as a decryption oracle to once again, + recover the authentication key and forge arbitrary ciphertext. + </p> + <p> + <strong><a href="#">Key commitment</a>.</strong> One of + our agents has infiltrated Roseacrucis’ inner circle, but all + secret keys are required to be surrendered to the + counterintelligence authority. Help her send ciphertexts to the + Library that decrypt to confidential information under one key, but + innocuous banter under another. + </p> + <br> + <details> + <summary> + Though it is not required to complete your missions, we now + review the construction of AES-GCM. + </summary> + <p> + AES-GCM is a block cipher that accepts a key of 16 bytes, + a nonce of 12 bytes, plaintext, and additional authenticated data. + It returns ciphertext and a message authentication code (MAC). + </p> + <p> + The ciphertext is computed as in <a href="https://en.wikipedia.org/wiki/Block_cipher_mode_of_operation#Counter_(CTR)">counter mode</a>, whereas the MAC is computed using the algorithm GMAC. + </p> + <p> + Let + \[ + m = \alpha^{128}+\alpha^7 + \alpha^2 + \alpha + 1 + \] + \[ + \mathbb{K} = \mathbb{F}(2^{128})/m. + \] + </p> + <p> + The finite field \(\mathbb{K}\) can be + interpreted as the set of polynomials with coefficients in \(\mathbb{F}_2\) + of degree less than \(128\). Multiplication + is performed modulo \(m\). This field is of characteristic 2; + e.g., \((\alpha^5 + \alpha+1)+(\alpha^5 + \alpha+1) = 0\). + </p> + <p> + We interpret 16-byte blocks as elements in \(\mathbb{K}\) + in little-endian bit order: + \[ + b_0b_1b_2\ldots{}b_{127} \mapsto + b_0 + b_1\alpha + b_2\alpha^2 + \ldots + b_{127}\alpha^{127}, + \] + where \(b_0\) is the least significant bit of the first byte of + the block. + </p> + <p> + 12-byte nonces are interpreted as 96-bit integers in big-endian byte order. + </p> + <p> + Let \(\operatorname{Byte} = [0, 2^8-1]\). + </p> + <br> + <div class="algorithm"> + <p>\(\operatorname{GMAC}(h\in \mathbb{K}, s\in \mathbb{K}, aad\in \operatorname{Byte}^{y}, c\in \operatorname{Byte}^{z})\)</p> + <ol class="algorithm-code"> + <li>\( aad' = \operatorname{chunk}_{16}(aad, \operatorname{pad}=\mathtt{0x00}) \)</li> + <li>\( c' = \operatorname{chunk}_{16}(c, \operatorname{pad}=\mathtt{0x00}) \)</li> + <li>\( len = \operatorname{encode_{big}}(128\vert aad' \vert, 8) \mathbin\Vert \operatorname{encode_{big}}(128\vert c'\vert, 8) \)</li> + <li>\( blocks = aad' \mathbin\Vert c' \mathbin\Vert (len) \mathbin\Vert (s) \)</li> + <li>\( \operatorname{return} \sum\limits_{i=1}^{\vert blocks\vert} blocks_{\vert blocks \vert-i} h^{i-1}\)</li> + </ol> + </div> + <br> + <br> + <div class="algorithm"> + <p>\(\operatorname{GCM}(k\in \operatorname{Byte}^{16}, n\in \operatorname{Byte}^{12}, aad\in \operatorname{Byte}^{y}, m\in \operatorname{Byte}^{z})\)</p> + <ol class="algorithm-code"> + <li> \( r = \mathop{\Vert}\limits_{n'=2^{32}n+2}^{2^{32}n+2^{32}-1} \operatorname{AES-ECB}(k, n') \)</li> + <li> \( c = r \oplus m \) </li> + <li> \( h = \operatorname{AES-ECB}(k, 0) \) </li> + <li> \( s = \operatorname{AES-ECB}(k, 2^{32}n + 1) \) </li> + <li> \( \operatorname{return} c, \operatorname{GMAC}(h, s, aad, c) \)</li> + </ol> + </div> + <p> + The authentication key \( h \) is independent of the + nonce \( n \). The constant term \( s \) acts as a blind to + hide the confidential block data in the MAC. Finally, note + that the polynomial computation reverses the order of the blocks. + </p> + </details> + <!-- <script id="MathJax-script" async src="/forbidden-salamanders/static/mathjax.js"></script> --> + <!-- <script type="text/x-mathjax-config"> --> + <!-- MathJax.Hub.Config({ TeX: { extensions: ["AMSmath.js", "AMSsymbols.js"] }}); --> + <!-- </script> --> +<script> +MathJax = { + tex: { + extensions: ["AMSmath.js", "AMSsymbols.js"] + } +}; +</script> +<script id="MathJax-script" async + src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-chtml.js"> +</script> + </body> +</html> diff --git a/nonce-reuse.html b/nonce-reuse.html new file mode 100644 index 0000000..0795386 --- /dev/null +++ b/nonce-reuse.html @@ -0,0 +1,185 @@ +<!DOCTYPE html> +<html> + <head> + <title>Forbidden Salamanders</title> + <meta charset="utf-8"> + <meta name="viewport" content="width=device-width, initial-scale=1.0"> + <link rel="stylesheet" type="text/css" href="/static/styles.css"> + <link rel="stylesheet" type="text/css" href="/forbidden-salamanders/static/styles.css"> + <link rel="shortcut icon" type="image/x-icon" href="/forbidden-salamanders/static/favicon.ico"> + </head> + <body> + <div class="container"> + <div> + <div class="home"> + <a href="/forbidden-salamanders" class="home-title">Forbidden Salamanders</a> + <span> at </span><a href="/">cyfraeviolae.org</a> + </div> + <div class="crumbs"> + <a href="/git/forbidden-salamanders">source code</a> + <span class="sep"> · </span> + <a href="/forbidden-salamanders/nonce-reuse"><strong>nonce reuse</strong></a> + <span class="sep"> · </span> + <a href="/forbidden-salamanders/nonce-truncation">nonce truncation</a> + <span class="sep"> · </span> + <a href="/forbidden-salamanders/key-commitment">key commitment</a> + </div> + </div> + <p> + <strong>Nonce reuse.</strong> Due to rising entropy + prices, Roseacrucis has started to reuse nonces. You must perform the + Forbidden Attack in order to recover the authentication key and + forge arbitrary ciphertext. + </p> + <br> + <details> + <summary> + Attack outline. + </summary> + <p> + Recall that the AES-GCM ciphertext is computed as the XOR of the + keystream and the message. One can modify the bits of the + ciphertext arbitrarily to effect the same change in the decrypted + plaintext. + </p> + <p> + Where certain bits of the plaintext are already known, the attacker + can fully determine the same bits of the forged plaintext. If + nonces are reused, the keystream will be identical, allowing us to + recover plaintext via + <a href="https://samwho.dev/blog/toying-with-cryptography-crib-dragging/"> + crib dragging</a>, which makes this attack particularly effective. + </p> + <p> + However, we still need to compute a new MAC over the forged ciphertext. + Simplifying for a ciphertext \(c\) of two blocks, the GMAC MAC is computed as + \[ + mac = s + (len)h + c_1h^2 + c_0h^3, + \] + where \(s\) is a constant depending on the AES-GCM key and the nonce, and \(h\) + is the authentication key depending only on the AES-GCM key. + </p> + <p> + If we intercept a second ciphertext \(c'\) encrypted under the same key and nonce, + we can compute + \[ + mac + mac' = (s + s') + (len + len')h + (c_1 + c'_1)h^2 + (c_0+c'_0)h^3, + \] + Since \(s = s'\) and \(x+x=0 \in \mathbb{F}_{2^{128}}\), we are + left with the polynomial equation + \[ + 0 = (mac + mac') + (len + len')h + (c_1 + c'_1)h^2 + (c_0+c'_0)h^3 + \] + where all variables are known other than \(h\). Thus, recovering \(h\) + is a simple matter of finding the roots by <a href="https://en.wikipedia.org/wiki/Factorization_of_polynomials_over_finite_fields">factoring the + polynomial</a> using a computer algebra system such as SageMath. + </p> + <p> + We plug \(h\) back into the first equation to recover \(s\), + and finally, we can forge the MAC for arbitary ciphertext under the + same nonce. + </p> + </details> + <br> + <form> + <div> + <input type="button" value="Autofill example"> + </div> + + <div> + <label for="key">Key (16 bytes in hex)</label> + <input id="key" type="text"> + </div> + + <div> + <label for="nonce">Nonce (12 bytes in hex)</label> + <input id="nonce" type="text"> + </div> + + <div> + <label for="m1">First message (in ASCII)</label> + <input id="m1" type="text"> + </div> + + <div> + <label for="aad1">First additional authenticated data (in ASCII)</label> + <input id="aad1" type="text"> + </div> + + <div> + <label for="m2">Second message (in ASCII)</label> + <input id="m2" type="text"> + </div> + + <div> + <label for="aad2">Second additional authenticated data (in ASCII)</label> + <input id="aad2" type="text"> + </div> + + <div> + <label for="c">Forged ciphertext (in hex)</label> + <input id="c" type="text"> + </div> + + <div> + <input type="button" value="Compute authentication key and forge MAC"> + </div> + </form> + <div> + <label for="h">Authentication key</label> + <input id="h" type="text" disabled value="deadbeef"> + </div> + <div> + <label for="mac">Forged MAC</label> + <input id="mac" type="text" disabled value="deadbeef"> + </div> + <br> + <pre> +from <a href="#">aesgcmanalysis</a> import xor, gcm_encrypt, nonce_reuse_recover_secrets, forge_gmac +k = b"YELLOW_SUBMARINE" +nonce = b"JORGELBORGES" +m1 = b"""The universe (which others call the Library) is composed of an indefinite and +perhaps infinite number of hexagonal galleries, with vast air shafts between, +surrounded by very low railings.""" +aad1 = b"The Anatomy of Melancholy" +m2 = b"From any of the hexagons one can see, interminably, the upper and lower floors." +aad2 = b"Letizia Alvarez de Toledo" +c1, mac1 = gcm_encrypt(k, nonce, m1, aad1) +c2, mac2 = gcm_encrypt(k, nonce, m2, aad2) + +# Recover the authentication key and blind from public information +h, s = nonce_reuse_recover_secrets(nonce, aad1, aad2, c1, c2, mac1, mac2) + +# Forge the ciphertext +m_forged = b"As was natural, this inordinate hope was followed by an excessive depression." +c_forged = xor(c2, xor(m2, m_forged)) +aad_forged = b"You who read me, are You sure of understanding my language?" +mac_forged = forge_gmac(nonce, h, s, c_forged, aad_forged) +assert gcm_decrypt(k, nonce, c_forged, aad_forged, mac_forged) == m_forged + </pre> + <details> + <summary> + Show me the code. + </summary> + </details> + <details> + <summary> + Show me the math. + </summary> + see homepage + The forged ciphertext can be computed as a xor from original ciphertext, + which should be particularly easy as nonce reuse reveals the XOR and then + crib dragging. + </details> +<script> +MathJax = { + tex: { + extensions: ["AMSmath.js", "AMSsymbols.js"] + } +}; +</script> +<script id="MathJax-script" async + src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-chtml.js"> +</script> + </body> +</html> diff --git a/static/favicon.ico b/static/favicon.ico Binary files differnew file mode 100644 index 0000000..36533da --- /dev/null +++ b/static/favicon.ico diff --git a/static/mathjax.js b/static/mathjax.js new file mode 100644 index 0000000..b444fe8 --- /dev/null +++ b/static/mathjax.js @@ -0,0 +1 @@ +!function(){"use strict";var t={351:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)Object.prototype.hasOwnProperty.call(e,r)&&(t[r]=e[r])})(t,e)},function(t,e){if("function"!=typeof e&&null!==e)throw new TypeError("Class extends value "+String(e)+" is not a constructor or 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this.init(),l},t.OPTIONS={skipHtmlTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],includeHtmlTags:{br:"\n",wbr:"","#comment":""},ignoreHtmlClass:"mathjax_ignore",processHtmlClass:"mathjax_process"},t}();e.HTMLDomStrings=i},3726:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)Object.prototype.hasOwnProperty.call(e,r)&&(t[r]=e[r])})(t,e)},function(t,e){if("function"!=typeof e&&null!==e)throw new TypeError("Class extends value "+String(e)+" is not a constructor or null");function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)});Object.defineProperty(e,"__esModule",{value:!0}),e.HTMLHandler=void 0;var i=r(3670),a=r(3683),s=function(t){function e(){var e=null!==t&&t.apply(this,arguments)||this;return e.documentClass=a.HTMLDocument,e}return o(e,t),e.prototype.handlesDocument=function(t){var e=this.adaptor;if("string"==typeof t)try{t=e.parse(t,"text/html")}catch(t){}return t instanceof e.window.Document||t instanceof e.window.HTMLElement||t instanceof e.window.DocumentFragment},e.prototype.create=function(e,r){var n=this.adaptor;if("string"==typeof e)e=n.parse(e,"text/html");else if(e instanceof n.window.HTMLElement||e instanceof n.window.DocumentFragment){var o=e;e=n.parse("","text/html"),n.append(n.body(e),o)}return t.prototype.create.call(this,e,r)},e}(i.AbstractHandler);e.HTMLHandler=s},3363:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)Object.prototype.hasOwnProperty.call(e,r)&&(t[r]=e[r])})(t,e)},function(t,e){if("function"!=typeof e&&null!==e)throw new TypeError("Class extends value "+String(e)+" is not a constructor or null");function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)});Object.defineProperty(e,"__esModule",{value:!0}),e.HTMLMathItem=void 0;var i=r(4474),a=function(t){function e(e,r,n,o,i){return void 0===n&&(n=!0),void 0===o&&(o={node:null,n:0,delim:""}),void 0===i&&(i={node:null,n:0,delim:""}),t.call(this,e,r,n,o,i)||this}return o(e,t),Object.defineProperty(e.prototype,"adaptor",{get:function(){return this.inputJax.adaptor},enumerable:!1,configurable:!0}),e.prototype.updateDocument=function(t){if(this.state()<i.STATE.INSERTED){if(this.inputJax.processStrings){var e=this.start.node;if(e===this.end.node)this.end.n&&this.end.n<this.adaptor.value(this.end.node).length&&this.adaptor.split(this.end.node,this.end.n),this.start.n&&(e=this.adaptor.split(this.start.node,this.start.n)),this.adaptor.replace(this.typesetRoot,e);else{for(this.start.n&&(e=this.adaptor.split(e,this.start.n));e!==this.end.node;){var r=this.adaptor.next(e);this.adaptor.remove(e),e=r}this.adaptor.insert(this.typesetRoot,e),this.end.n<this.adaptor.value(e).length&&this.adaptor.split(e,this.end.n),this.adaptor.remove(e)}}else this.adaptor.replace(this.typesetRoot,this.start.node);this.start.node=this.end.node=this.typesetRoot,this.start.n=this.end.n=0,this.state(i.STATE.INSERTED)}},e.prototype.updateStyleSheet=function(t){t.addStyleSheet()},e.prototype.removeFromDocument=function(t){if(void 0===t&&(t=!1),this.state()>=i.STATE.TYPESET){var e=this.adaptor,r=this.start.node,n=e.text("");if(t){var o=this.start.delim+this.math+this.end.delim;if(this.inputJax.processStrings)n=e.text(o);else{var a=e.parse(o,"text/html");n=e.firstChild(e.body(a))}}e.parent(r)&&e.replace(n,r),this.start.node=this.end.node=n,this.start.n=this.end.n=0}},e}(i.AbstractMathItem);e.HTMLMathItem=a},3335:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)Object.prototype.hasOwnProperty.call(e,r)&&(t[r]=e[r])})(t,e)},function(t,e){if("function"!=typeof e&&null!==e)throw new TypeError("Class extends value "+String(e)+" is not a constructor or null");function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)});Object.defineProperty(e,"__esModule",{value:!0}),e.HTMLMathList=void 0;var i=function(t){function e(){return null!==t&&t.apply(this,arguments)||this}return o(e,t),e}(r(9e3).AbstractMathList);e.HTMLMathList=i},2892:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)Object.prototype.hasOwnProperty.call(e,r)&&(t[r]=e[r])})(t,e)},function(t,e){if("function"!=typeof e&&null!==e)throw new TypeError("Class extends value "+String(e)+" is not a constructor or null");function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)}),i=this&&this.__read||function(t,e){var r="function"==typeof Symbol&&t[Symbol.iterator];if(!r)return t;var n,o,i=r.call(t),a=[];try{for(;(void 0===e||e-- >0)&&!(n=i.next()).done;)a.push(n.value)}catch(t){o={error:t}}finally{try{n&&!n.done&&(r=i.return)&&r.call(i)}finally{if(o)throw o.error}}return a};Object.defineProperty(e,"__esModule",{value:!0}),e.MathML=void 0;var a=r(9206),s=r(7233),l=r(7525),c=r(625),u=r(2769),p=function(t){function e(e){void 0===e&&(e={});var r=this,n=i(s.separateOptions(e,c.FindMathML.OPTIONS,u.MathMLCompile.OPTIONS),3),o=n[0],a=n[1],p=n[2];return(r=t.call(this,o)||this).findMathML=r.options.FindMathML||new c.FindMathML(a),r.mathml=r.options.MathMLCompile||new u.MathMLCompile(p),r.mmlFilters=new l.FunctionList,r}return o(e,t),e.prototype.setAdaptor=function(e){t.prototype.setAdaptor.call(this,e),this.findMathML.adaptor=e,this.mathml.adaptor=e},e.prototype.setMmlFactory=function(e){t.prototype.setMmlFactory.call(this,e),this.mathml.setMmlFactory(e)},Object.defineProperty(e.prototype,"processStrings",{get:function(){return!1},enumerable:!1,configurable:!0}),e.prototype.compile=function(t,e){var r=t.start.node;if(!r||!t.end.node||this.options.forceReparse||"#text"===this.adaptor.kind(r)){var n=this.executeFilters(this.preFilters,t,e,t.math||"<math></math>"),o=this.checkForErrors(this.adaptor.parse(n,"text/"+this.options.parseAs)),i=this.adaptor.body(o);1!==this.adaptor.childNodes(i).length&&this.error("MathML must consist of a single element"),r=this.adaptor.remove(this.adaptor.firstChild(i)),"math"!==this.adaptor.kind(r).replace(/^[a-z]+:/,"")&&this.error("MathML must be formed by a <math> element, not <"+this.adaptor.kind(r)+">")}return r=this.executeFilters(this.mmlFilters,t,e,r),this.executeFilters(this.postFilters,t,e,this.mathml.compile(r))},e.prototype.checkForErrors=function(t){var e=this.adaptor.tags(this.adaptor.body(t),"parsererror")[0];return e&&(""===this.adaptor.textContent(e)&&this.error("Error processing MathML"),this.options.parseError.call(this,e)),t},e.prototype.error=function(t){throw new Error(t)},e.prototype.findMath=function(t){return this.findMathML.findMath(t)},e.NAME="MathML",e.OPTIONS=s.defaultOptions({parseAs:"html",forceReparse:!1,FindMathML:null,MathMLCompile:null,parseError:function(t){this.error(this.adaptor.textContent(t).replace(/\n.*/g,""))}},a.AbstractInputJax.OPTIONS),e}(a.AbstractInputJax);e.MathML=p},625:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)Object.prototype.hasOwnProperty.call(e,r)&&(t[r]=e[r])})(t,e)},function(t,e){if("function"!=typeof e&&null!==e)throw new TypeError("Class extends value "+String(e)+" is not a constructor or null");function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)}),i=this&&this.__values||function(t){var e="function"==typeof Symbol&&Symbol.iterator,r=e&&t[e],n=0;if(r)return r.call(t);if(t&&"number"==typeof t.length)return{next:function(){return t&&n>=t.length&&(t=void 0),{value:t&&t[n++],done:!t}}};throw new TypeError(e?"Object is not iterable.":"Symbol.iterator is not defined.")};Object.defineProperty(e,"__esModule",{value:!0}),e.FindMathML=void 0;var a=r(3494),s="http://www.w3.org/1998/Math/MathML",l=function(t){function e(){return null!==t&&t.apply(this,arguments)||this}return o(e,t),e.prototype.findMath=function(t){var e=new Set;this.findMathNodes(t,e),this.findMathPrefixed(t,e);var r=this.adaptor.root(this.adaptor.document);return"html"===this.adaptor.kind(r)&&0===e.size&&this.findMathNS(t,e),this.processMath(e)},e.prototype.findMathNodes=function(t,e){var r,n;try{for(var o=i(this.adaptor.tags(t,"math")),a=o.next();!a.done;a=o.next()){var s=a.value;e.add(s)}}catch(t){r={error:t}}finally{try{a&&!a.done&&(n=o.return)&&n.call(o)}finally{if(r)throw r.error}}},e.prototype.findMathPrefixed=function(t,e){var r,n,o,a,l=this.adaptor.root(this.adaptor.document);try{for(var c=i(this.adaptor.allAttributes(l)),u=c.next();!u.done;u=c.next()){var p=u.value;if("xmlns:"===p.name.substr(0,6)&&p.value===s){var h=p.name.substr(6);try{for(var f=(o=void 0,i(this.adaptor.tags(t,h+":math"))),d=f.next();!d.done;d=f.next()){var y=d.value;e.add(y)}}catch(t){o={error:t}}finally{try{d&&!d.done&&(a=f.return)&&a.call(f)}finally{if(o)throw o.error}}}}}catch(t){r={error:t}}finally{try{u&&!u.done&&(n=c.return)&&n.call(c)}finally{if(r)throw r.error}}},e.prototype.findMathNS=function(t,e){var r,n;try{for(var o=i(this.adaptor.tags(t,"math",s)),a=o.next();!a.done;a=o.next()){var l=a.value;e.add(l)}}catch(t){r={error:t}}finally{try{a&&!a.done&&(n=o.return)&&n.call(o)}finally{if(r)throw r.error}}},e.prototype.processMath=function(t){var e,r,n=[];try{for(var o=i(Array.from(t)),a=o.next();!a.done;a=o.next()){var s=a.value,l="block"===this.adaptor.getAttribute(s,"display")||"display"===this.adaptor.getAttribute(s,"mode"),c={node:s,n:0,delim:""},u={node:s,n:0,delim:""};n.push({math:this.adaptor.outerHTML(s),start:c,end:u,display:l})}}catch(t){e={error:t}}finally{try{a&&!a.done&&(r=o.return)&&r.call(o)}finally{if(e)throw e.error}}return n},e.OPTIONS={},e}(a.AbstractFindMath);e.FindMathML=l},2769:function(t,e,r){var n=this&&this.__assign||function(){return(n=Object.assign||function(t){for(var e,r=1,n=arguments.length;r<n;r++)for(var o in e=arguments[r])Object.prototype.hasOwnProperty.call(e,o)&&(t[o]=e[o]);return t}).apply(this,arguments)},o=this&&this.__values||function(t){var e="function"==typeof Symbol&&Symbol.iterator,r=e&&t[e],n=0;if(r)return r.call(t);if(t&&"number"==typeof t.length)return{next:function(){return t&&n>=t.length&&(t=void 0),{value:t&&t[n++],done:!t}}};throw new TypeError(e?"Object is not iterable.":"Symbol.iterator is not defined.")};Object.defineProperty(e,"__esModule",{value:!0}),e.MathMLCompile=void 0;var i=r(9007),a=r(7233),s=r(5368),l=function(){function t(t){void 0===t&&(t={});var e=this.constructor;this.options=a.userOptions(a.defaultOptions({},e.OPTIONS),t)}return t.prototype.setMmlFactory=function(t){this.factory=t},t.prototype.compile=function(t){var e=this.makeNode(t);return e.verifyTree(this.options.verify),e.setInheritedAttributes({},!1,0,!1),e.walkTree(this.markMrows),e},t.prototype.makeNode=function(t){var e,r,n=this.adaptor,a=!1,s=n.kind(t).replace(/^.*:/,""),l=n.getAttribute(t,"data-mjx-texclass")||"";l&&(l=this.filterAttribute("data-mjx-texclass",l)||"");var c=l&&"mrow"===s?"TeXAtom":s;try{for(var u=o(this.filterClassList(n.allClasses(t))),p=u.next();!p.done;p=u.next()){var h=p.value;h.match(/^MJX-TeXAtom-/)?(l=h.substr(12),c="TeXAtom"):"MJX-fixedlimits"===h&&(a=!0)}}catch(t){e={error:t}}finally{try{p&&!p.done&&(r=u.return)&&r.call(u)}finally{if(e)throw e.error}}this.factory.getNodeClass(c)||this.error('Unknown node type "'+c+'"');var f=this.factory.create(c);return"TeXAtom"!==c||"OP"!==l||a||(f.setProperty("movesupsub",!0),f.attributes.setInherited("movablelimits",!0)),l&&(f.texClass=i.TEXCLASS[l],f.setProperty("texClass",f.texClass)),this.addAttributes(f,t),this.checkClass(f,t),this.addChildren(f,t),f},t.prototype.addAttributes=function(t,e){var r,n,i=!1;try{for(var a=o(this.adaptor.allAttributes(e)),s=a.next();!s.done;s=a.next()){var l=s.value,c=l.name,u=this.filterAttribute(c,l.value);if(null!==u&&"xmlns"!==c)if("data-mjx-"===c.substr(0,9))"data-mjx-alternate"===c?t.setProperty("variantForm",!0):"data-mjx-variant"===c?(t.attributes.set("mathvariant",u),i=!0):"data-mjx-smallmatrix"===c?(t.setProperty("scriptlevel",1),t.setProperty("useHeight",!1)):"data-mjx-accent"===c?t.setProperty("mathaccent","true"===u):"data-mjx-auto-op"===c&&t.setProperty("autoOP","true"===u);else if("class"!==c){var p=u.toLowerCase();"true"===p||"false"===p?t.attributes.set(c,"true"===p):i&&"mathvariant"===c||t.attributes.set(c,u)}}}catch(t){r={error:t}}finally{try{s&&!s.done&&(n=a.return)&&n.call(a)}finally{if(r)throw r.error}}},t.prototype.filterAttribute=function(t,e){return e},t.prototype.filterClassList=function(t){return t},t.prototype.addChildren=function(t,e){var r,n;if(0!==t.arity){var i=this.adaptor;try{for(var a=o(i.childNodes(e)),s=a.next();!s.done;s=a.next()){var l=s.value,c=i.kind(l);if("#comment"!==c)if("#text"===c)this.addText(t,l);else if(t.isKind("annotation-xml"))t.appendChild(this.factory.create("XML").setXML(l,i));else{var u=t.appendChild(this.makeNode(l));0===u.arity&&i.childNodes(l).length&&(this.options.fixMisplacedChildren?this.addChildren(t,l):u.mError("There should not be children for "+u.kind+" nodes",this.options.verify,!0))}}}catch(t){r={error:t}}finally{try{s&&!s.done&&(n=a.return)&&n.call(a)}finally{if(r)throw r.error}}}},t.prototype.addText=function(t,e){var r=this.adaptor.value(e);(t.isToken||t.getProperty("isChars"))&&t.arity?(t.isToken&&(r=s.translate(r),r=this.trimSpace(r)),t.appendChild(this.factory.create("text").setText(r))):r.match(/\S/)&&this.error('Unexpected text node "'+r+'"')},t.prototype.checkClass=function(t,e){var r,n,i=[];try{for(var a=o(this.filterClassList(this.adaptor.allClasses(e))),s=a.next();!s.done;s=a.next()){var l=s.value;"MJX-"===l.substr(0,4)?"MJX-variant"===l?t.setProperty("variantForm",!0):"MJX-TeXAtom"!==l.substr(0,11)&&t.attributes.set("mathvariant",this.fixCalligraphic(l.substr(3))):i.push(l)}}catch(t){r={error:t}}finally{try{s&&!s.done&&(n=a.return)&&n.call(a)}finally{if(r)throw r.error}}i.length&&t.attributes.set("class",i.join(" "))},t.prototype.fixCalligraphic=function(t){return t.replace(/caligraphic/,"calligraphic")},t.prototype.markMrows=function(t){if(t.isKind("mrow")&&!t.isInferred&&t.childNodes.length>=2){var e=t.childNodes[0],r=t.childNodes[t.childNodes.length-1];e.isKind("mo")&&e.attributes.get("fence")&&e.attributes.get("stretchy")&&r.isKind("mo")&&r.attributes.get("fence")&&r.attributes.get("stretchy")&&(e.childNodes.length&&t.setProperty("open",e.getText()),r.childNodes.length&&t.setProperty("close",r.getText()))}},t.prototype.trimSpace=function(t){return t.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/ +/g," ")},t.prototype.error=function(t){throw new Error(t)},t.OPTIONS={MmlFactory:null,fixMisplacedChildren:!0,verify:n({},i.AbstractMmlNode.verifyDefaults),translateEntities:!0},t}();e.MathMLCompile=l},8462:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)Object.prototype.hasOwnProperty.call(e,r)&&(t[r]=e[r])})(t,e)},function(t,e){if("function"!=typeof e&&null!==e)throw new TypeError("Class extends value "+String(e)+" is not a constructor or null");function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)}),i=this&&this.__assign||function(){return(i=Object.assign||function(t){for(var e,r=1,n=arguments.length;r<n;r++)for(var o in e=arguments[r])Object.prototype.hasOwnProperty.call(e,o)&&(t[o]=e[o]);return t}).apply(this,arguments)},a=this&&this.__read||function(t,e){var r="function"==typeof Symbol&&t[Symbol.iterator];if(!r)return t;var 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u.CommandMap(c.NEW_OPS,{},{}),t.append(a.Configuration.local({handler:{macro:[c.NEW_OPS]},priority:-1}))},config:function(t,e){e.parseOptions.options.multlineWidth&&(e.parseOptions.options.ams.multlineWidth=e.parseOptions.options.multlineWidth),delete e.parseOptions.options.multlineWidth},options:{multlineWidth:"",ams:{multlineWidth:"100%",multlineIndent:"1em"}}})},2790:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)Object.prototype.hasOwnProperty.call(e,r)&&(t[r]=e[r])})(t,e)},function(t,e){if("function"!=typeof e&&null!==e)throw new TypeError("Class extends value "+String(e)+" is not a constructor or null");function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)}),i=this&&this.__assign||function(){return(i=Object.assign||function(t){for(var e,r=1,n=arguments.length;r<n;r++)for(var o in e=arguments[r])Object.prototype.hasOwnProperty.call(e,o)&&(t[o]=e[o]);return t}).apply(this,arguments)};Object.defineProperty(e,"__esModule",{value:!0}),e.FlalignItem=e.MultlineItem=void 0;var a=r(1181),s=r(1130),l=r(1256),c=r(3971),u=r(8317),p=function(t){function e(e){for(var r=[],n=1;n<arguments.length;n++)r[n-1]=arguments[n];var o=t.call(this,e)||this;return o.factory.configuration.tags.start("multline",!0,r[0]),o}return o(e,t),Object.defineProperty(e.prototype,"kind",{get:function(){return"multline"},enumerable:!1,configurable:!0}),e.prototype.EndEntry=function(){this.table.length&&s.default.fixInitialMO(this.factory.configuration,this.nodes);var t=this.getProperty("shove"),e=this.create("node","mtd",this.nodes,t?{columnalign:t}:{});this.setProperty("shove",null),this.row.push(e),this.Clear()},e.prototype.EndRow=function(){if(1!==this.row.length)throw new c.default("MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline");var t=this.create("node","mtr",this.row);this.table.push(t),this.row=[]},e.prototype.EndTable=function(){if(t.prototype.EndTable.call(this),this.table.length){var e=this.table.length-1,r=-1;l.default.getAttribute(l.default.getChildren(this.table[0])[0],"columnalign")||l.default.setAttribute(l.default.getChildren(this.table[0])[0],"columnalign",u.TexConstant.Align.LEFT),l.default.getAttribute(l.default.getChildren(this.table[e])[0],"columnalign")||l.default.setAttribute(l.default.getChildren(this.table[e])[0],"columnalign",u.TexConstant.Align.RIGHT);var n=this.factory.configuration.tags.getTag();if(n){r=this.arraydef.side===u.TexConstant.Align.LEFT?0:this.table.length-1;var o=this.table[r],i=this.create("node","mlabeledtr",[n].concat(l.default.getChildren(o)));l.default.copyAttributes(o,i),this.table[r]=i}}this.factory.configuration.tags.end()},e}(a.ArrayItem);e.MultlineItem=p;var h=function(t){function e(e,r,n,o,i){var a=t.call(this,e)||this;return a.name=r,a.numbered=n,a.padded=o,a.center=i,a.factory.configuration.tags.start(r,n,n),a}return o(e,t),Object.defineProperty(e.prototype,"kind",{get:function(){return"flalign"},enumerable:!1,configurable:!0}),e.prototype.EndEntry=function(){t.prototype.EndEntry.call(this);var e=this.getProperty("xalignat");if(e&&this.row.length>e)throw new c.default("XalignOverflow","Extra %1 in row of %2","&",this.name)},e.prototype.EndRow=function(){for(var e,r=this.row,n=this.getProperty("xalignat");r.length<n;)r.push(this.create("node","mtd"));for(this.row=[],this.padded&&this.row.push(this.create("node","mtd"));e=r.shift();)this.row.push(e),(e=r.shift())&&this.row.push(e),(r.length||this.padded)&&this.row.push(this.create("node","mtd"));this.row.length>this.maxrow&&(this.maxrow=this.row.length),t.prototype.EndRow.call(this);var o=this.table[this.table.length-1];if(this.getProperty("zeroWidthLabel")&&o.isKind("mlabeledtr")){var a=l.default.getChildren(o)[0],s=this.factory.configuration.options.tagSide,c=i({width:0},"right"===s?{lspace:"-1width"}:{}),u=this.create("node","mpadded",l.default.getChildren(a),c);a.setChildren([u])}},e.prototype.EndTable=function(){(t.prototype.EndTable.call(this),this.center)&&(this.maxrow<=2&&(delete this.arraydef.width,delete this.global.indentalign))},e}(a.EqnArrayItem);e.FlalignItem=h},7379:function(t,e,r){Object.defineProperty(e,"__esModule",{value:!0});var n=r(4387),o=r(9140),i=r(8317),a=r(5450),s=r(1130),l=r(9007),c=r(6010);new o.CharacterMap("AMSmath-mathchar0mo",a.default.mathchar0mo,{iiiint:["\u2a0c",{texClass:l.TEXCLASS.OP}]}),new o.CommandMap("AMSmath-macros",{mathring:["Accent","02DA"],nobreakspace:"Tilde",negmedspace:["Spacer",c.MATHSPACE.negativemediummathspace],negthickspace:["Spacer",c.MATHSPACE.negativethickmathspace],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",eqref:["HandleRef",!0],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj lim"],projlim:["NamedOp","proj lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","","1"],dfrac:["Genfrac","","","","0"],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0","1"],dbinom:["Genfrac","(",")","0","0"],cfrac:"CFrac",shoveleft:["HandleShove",i.TexConstant.Align.LEFT],shoveright:["HandleShove",i.TexConstant.Align.RIGHT],xrightarrow:["xArrow",8594,5,10],xleftarrow:["xArrow",8592,10,5]},n.AmsMethods),new o.EnvironmentMap("AMSmath-environment",a.default.environment,{"equation*":["Equation",null,!1],"eqnarray*":["EqnArray",null,!1,!0,"rcl",s.default.cols(0,c.MATHSPACE.thickmathspace),".5em"],align:["EqnArray",null,!0,!0,"rl",s.default.cols(0,2)],"align*":["EqnArray",null,!1,!0,"rl",s.default.cols(0,2)],multline:["Multline",null,!0],"multline*":["Multline",null,!1],split:["EqnArray",null,!1,!1,"rl",s.default.cols(0)],gather:["EqnArray",null,!0,!0,"c"],"gather*":["EqnArray",null,!1,!0,"c"],alignat:["AlignAt",null,!0,!0],"alignat*":["AlignAt",null,!1,!0],alignedat:["AlignAt",null,!1,!1],aligned:["AmsEqnArray",null,null,null,"rl",s.default.cols(0,2),".5em","D"],gathered:["AmsEqnArray",null,null,null,"c",null,".5em","D"],xalignat:["XalignAt",null,!0,!0],"xalignat*":["XalignAt",null,!1,!0],xxalignat:["XalignAt",null,!1,!1],flalign:["FlalignArray",null,!0,!1,!0,"rlc","auto auto fit"],"flalign*":["FlalignArray",null,!1,!1,!0,"rlc","auto auto fit"],subarray:["Array",null,null,null,null,s.default.cols(0),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",s.default.cols(1/3),".2em","S",1],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"]},n.AmsMethods),new o.DelimiterMap("AMSmath-delimiter",a.default.delimiter,{"\\lvert":["|",{texClass:l.TEXCLASS.OPEN}],"\\rvert":["|",{texClass:l.TEXCLASS.CLOSE}],"\\lVert":["\u2016",{texClass:l.TEXCLASS.OPEN}],"\\rVert":["\u2016",{texClass:l.TEXCLASS.CLOSE}]}),new o.CharacterMap("AMSsymbols-mathchar0mi",a.default.mathchar0mi,{digamma:"\u03dd",varkappa:"\u03f0",varGamma:["\u0393",{mathvariant:i.TexConstant.Variant.ITALIC}],varDelta:["\u0394",{mathvariant:i.TexConstant.Variant.ITALIC}],varTheta:["\u0398",{mathvariant:i.TexConstant.Variant.ITALIC}],varLambda:["\u039b",{mathvariant:i.TexConstant.Variant.ITALIC}],varXi:["\u039e",{mathvariant:i.TexConstant.Variant.ITALIC}],varPi:["\u03a0",{mathvariant:i.TexConstant.Variant.ITALIC}],varSigma:["\u03a3",{mathvariant:i.TexConstant.Variant.ITALIC}],varUpsilon:["\u03a5",{mathvariant:i.TexConstant.Variant.ITALIC}],varPhi:["\u03a6",{mathvariant:i.TexConstant.Variant.ITALIC}],varPsi:["\u03a8",{mathvariant:i.TexConstant.Variant.ITALIC}],varOmega:["\u03a9",{mathvariant:i.TexConstant.Variant.ITALIC}],beth:"\u2136",gimel:"\u2137",daleth:"\u2138",backprime:["\u2035",{variantForm:!0}],hslash:"\u210f",varnothing:["\u2205",{variantForm:!0}],blacktriangle:"\u25b4",triangledown:["\u25bd",{variantForm:!0}],blacktriangledown:"\u25be",square:"\u25fb",Box:"\u25fb",blacksquare:"\u25fc",lozenge:"\u25ca",Diamond:"\u25ca",blacklozenge:"\u29eb",circledS:["\u24c8",{mathvariant:i.TexConstant.Variant.NORMAL}],bigstar:"\u2605",sphericalangle:"\u2222",measuredangle:"\u2221",nexists:"\u2204",complement:"\u2201",mho:"\u2127",eth:["\xf0",{mathvariant:i.TexConstant.Variant.NORMAL}],Finv:"\u2132",diagup:"\u2571",Game:"\u2141",diagdown:"\u2572",Bbbk:["k",{mathvariant:i.TexConstant.Variant.DOUBLESTRUCK}],yen:"\xa5",circledR:"\xae",checkmark:"\u2713",maltese:"\u2720"}),new o.CharacterMap("AMSsymbols-mathchar0mo",a.default.mathchar0mo,{dotplus:"\u2214",ltimes:"\u22c9",smallsetminus:["\u2216",{variantForm:!0}],rtimes:"\u22ca",Cap:"\u22d2",doublecap:"\u22d2",leftthreetimes:"\u22cb",Cup:"\u22d3",doublecup:"\u22d3",rightthreetimes:"\u22cc",barwedge:"\u22bc",curlywedge:"\u22cf",veebar:"\u22bb",curlyvee:"\u22ce",doublebarwedge:"\u2a5e",boxminus:"\u229f",circleddash:"\u229d",boxtimes:"\u22a0",circledast:"\u229b",boxdot:"\u22a1",circledcirc:"\u229a",boxplus:"\u229e",centerdot:["\u22c5",{variantForm:!0}],divideontimes:"\u22c7",intercal:"\u22ba",leqq:"\u2266",geqq:"\u2267",leqslant:"\u2a7d",geqslant:"\u2a7e",eqslantless:"\u2a95",eqslantgtr:"\u2a96",lesssim:"\u2272",gtrsim:"\u2273",lessapprox:"\u2a85",gtrapprox:"\u2a86",approxeq:"\u224a",lessdot:"\u22d6",gtrdot:"\u22d7",lll:"\u22d8",llless:"\u22d8",ggg:"\u22d9",gggtr:"\u22d9",lessgtr:"\u2276",gtrless:"\u2277",lesseqgtr:"\u22da",gtreqless:"\u22db",lesseqqgtr:"\u2a8b",gtreqqless:"\u2a8c",doteqdot:"\u2251",Doteq:"\u2251",eqcirc:"\u2256",risingdotseq:"\u2253",circeq:"\u2257",fallingdotseq:"\u2252",triangleq:"\u225c",backsim:"\u223d",thicksim:["\u223c",{variantForm:!0}],backsimeq:"\u22cd",thickapprox:["\u2248",{variantForm:!0}],subseteqq:"\u2ac5",supseteqq:"\u2ac6",Subset:"\u22d0",Supset:"\u22d1",sqsubset:"\u228f",sqsupset:"\u2290",preccurlyeq:"\u227c",succcurlyeq:"\u227d",curlyeqprec:"\u22de",curlyeqsucc:"\u22df",precsim:"\u227e",succsim:"\u227f",precapprox:"\u2ab7",succapprox:"\u2ab8",vartriangleleft:"\u22b2",lhd:"\u22b2",vartriangleright:"\u22b3",rhd:"\u22b3",trianglelefteq:"\u22b4",unlhd:"\u22b4",trianglerighteq:"\u22b5",unrhd:"\u22b5",vDash:["\u22a8",{variantForm:!0}],Vdash:"\u22a9",Vvdash:"\u22aa",smallsmile:["\u2323",{variantForm:!0}],shortmid:["\u2223",{variantForm:!0}],smallfrown:["\u2322",{variantForm:!0}],shortparallel:["\u2225",{variantForm:!0}],bumpeq:"\u224f",between:"\u226c",Bumpeq:"\u224e",pitchfork:"\u22d4",varpropto:["\u221d",{variantForm:!0}],backepsilon:"\u220d",blacktriangleleft:"\u25c2",blacktriangleright:"\u25b8",therefore:"\u2234",because:"\u2235",eqsim:"\u2242",vartriangle:["\u25b3",{variantForm:!0}],Join:"\u22c8",nless:"\u226e",ngtr:"\u226f",nleq:"\u2270",ngeq:"\u2271",nleqslant:["\u2a87",{variantForm:!0}],ngeqslant:["\u2a88",{variantForm:!0}],nleqq:["\u2270",{variantForm:!0}],ngeqq:["\u2271",{variantForm:!0}],lneq:"\u2a87",gneq:"\u2a88",lneqq:"\u2268",gneqq:"\u2269",lvertneqq:["\u2268",{variantForm:!0}],gvertneqq:["\u2269",{variantForm:!0}],lnsim:"\u22e6",gnsim:"\u22e7",lnapprox:"\u2a89",gnapprox:"\u2a8a",nprec:"\u2280",nsucc:"\u2281",npreceq:["\u22e0",{variantForm:!0}],nsucceq:["\u22e1",{variantForm:!0}],precneqq:"\u2ab5",succneqq:"\u2ab6",precnsim:"\u22e8",succnsim:"\u22e9",precnapprox:"\u2ab9",succnapprox:"\u2aba",nsim:"\u2241",ncong:"\u2247",nshortmid:["\u2224",{variantForm:!0}],nshortparallel:["\u2226",{variantForm:!0}],nmid:"\u2224",nparallel:"\u2226",nvdash:"\u22ac",nvDash:"\u22ad",nVdash:"\u22ae",nVDash:"\u22af",ntriangleleft:"\u22ea",ntriangleright:"\u22eb",ntrianglelefteq:"\u22ec",ntrianglerighteq:"\u22ed",nsubseteq:"\u2288",nsupseteq:"\u2289",nsubseteqq:["\u2288",{variantForm:!0}],nsupseteqq:["\u2289",{variantForm:!0}],subsetneq:"\u228a",supsetneq:"\u228b",varsubsetneq:["\u228a",{variantForm:!0}],varsupsetneq:["\u228b",{variantForm:!0}],subsetneqq:"\u2acb",supsetneqq:"\u2acc",varsubsetneqq:["\u2acb",{variantForm:!0}],varsupsetneqq:["\u2acc",{variantForm:!0}],leftleftarrows:"\u21c7",rightrightarrows:"\u21c9",leftrightarrows:"\u21c6",rightleftarrows:"\u21c4",Lleftarrow:"\u21da",Rrightarrow:"\u21db",twoheadleftarrow:"\u219e",twoheadrightarrow:"\u21a0",leftarrowtail:"\u21a2",rightarrowtail:"\u21a3",looparrowleft:"\u21ab",looparrowright:"\u21ac",leftrightharpoons:"\u21cb",rightleftharpoons:["\u21cc",{variantForm:!0}],curvearrowleft:"\u21b6",curvearrowright:"\u21b7",circlearrowleft:"\u21ba",circlearrowright:"\u21bb",Lsh:"\u21b0",Rsh:"\u21b1",upuparrows:"\u21c8",downdownarrows:"\u21ca",upharpoonleft:"\u21bf",upharpoonright:"\u21be",downharpoonleft:"\u21c3",restriction:"\u21be",multimap:"\u22b8",downharpoonright:"\u21c2",leftrightsquigarrow:"\u21ad",rightsquigarrow:"\u21dd",leadsto:"\u21dd",dashrightarrow:"\u21e2",dashleftarrow:"\u21e0",nleftarrow:"\u219a",nrightarrow:"\u219b",nLeftarrow:"\u21cd",nRightarrow:"\u21cf",nleftrightarrow:"\u21ae",nLeftrightarrow:"\u21ce"}),new o.DelimiterMap("AMSsymbols-delimiter",a.default.delimiter,{"\\ulcorner":"\u231c","\\urcorner":"\u231d","\\llcorner":"\u231e","\\lrcorner":"\u231f"}),new o.CommandMap("AMSsymbols-macros",{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]},n.AmsMethods)},4387:function(t,e,r){Object.defineProperty(e,"__esModule",{value:!0}),e.NEW_OPS=e.AmsMethods=void 0;var n=r(1130),o=r(1256),i=r(8317),a=r(8417),s=r(3971),l=r(8803),c=r(7693),u=r(9007);e.AmsMethods={},e.AmsMethods.AmsEqnArray=function(t,e,r,o,i,a,s){var l=t.GetBrackets("\\begin{"+e.getName()+"}"),u=c.default.EqnArray(t,e,r,o,i,a,s);return n.default.setArrayAlign(u,l)},e.AmsMethods.AlignAt=function(t,r,o,i){var a,l,c=r.getName(),u="",p=[];if(i||(l=t.GetBrackets("\\begin{"+c+"}")),(a=t.GetArgument("\\begin{"+c+"}")).match(/[^0-9]/))throw new s.default("PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+c+"}");for(var h=parseInt(a,10);h>0;)u+="rl",p.push("0em 0em"),h--;var f=p.join(" ");if(i)return e.AmsMethods.EqnArray(t,r,o,i,u,f);var d=e.AmsMethods.EqnArray(t,r,o,i,u,f);return n.default.setArrayAlign(d,l)},e.AmsMethods.Multline=function(t,e,r){t.Push(e),n.default.checkEqnEnv(t);var o=t.itemFactory.create("multline",r,t.stack);return o.arraydef={displaystyle:!0,rowspacing:".5em",columnspacing:"100%",width:t.options.ams.multlineWidth,side:t.options.tagSide,minlabelspacing:t.options.tagIndent,framespacing:t.options.ams.multlineIndent+" 0",frame:"","data-width-includes-label":!0},o},e.AmsMethods.XalignAt=function(t,r,n,o){var i=t.GetArgument("\\begin{"+r.getName()+"}");if(i.match(/[^0-9]/))throw new s.default("PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+r.getName()+"}");var a=o?"crl":"rlc",l=o?"fit auto auto":"auto auto fit",c=e.AmsMethods.FlalignArray(t,r,n,o,!1,a,l,!0);return c.setProperty("xalignat",2*parseInt(i)),c},e.AmsMethods.FlalignArray=function(t,e,r,o,i,a,s,l){void 0===l&&(l=!1),t.Push(e),n.default.checkEqnEnv(t),a=a.split("").join(" ").replace(/r/g,"right").replace(/l/g,"left").replace(/c/g,"center");var c=t.itemFactory.create("flalign",e.getName(),r,o,i,t.stack);return c.arraydef={width:"100%",displaystyle:!0,columnalign:a,columnspacing:"0em",columnwidth:s,rowspacing:"3pt",side:t.options.tagSide,minlabelspacing:l?"0":t.options.tagIndent,"data-width-includes-label":!0},c.setProperty("zeroWidthLabel",l),c},e.NEW_OPS="ams-declare-ops",e.AmsMethods.HandleDeclareOp=function(t,r){var o=t.GetStar()?"":"\\nolimits\\SkipLimits",i=n.default.trimSpaces(t.GetArgument(r));"\\"===i.charAt(0)&&(i=i.substr(1));var a=t.GetArgument(r);a.match(/\\text/)||(a=a.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")),t.configuration.handlers.retrieve(e.NEW_OPS).add(i,new l.Macro(i,e.AmsMethods.Macro,["\\mathop{\\rm "+a+"}"+o]))},e.AmsMethods.HandleOperatorName=function(t,e){var r=t.GetStar()?"":"\\nolimits\\SkipLimits",o=n.default.trimSpaces(t.GetArgument(e));o.match(/\\text/)||(o=o.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")),t.string="\\mathop{\\rm "+o+"}"+r+" "+t.string.slice(t.i),t.i=0},e.AmsMethods.SkipLimits=function(t,e){var r=t.GetNext(),n=t.i;"\\"===r&&++t.i&&"limits"!==t.GetCS()&&(t.i=n)},e.AmsMethods.MultiIntegral=function(t,e,r){var n=t.GetNext();if("\\"===n){var o=t.i;n=t.GetArgument(e),t.i=o,"\\limits"===n&&(r="\\idotsint"===e?"\\!\\!\\mathop{\\,\\,"+r+"}":"\\!\\!\\!\\mathop{\\,\\,\\,"+r+"}")}t.string=r+" "+t.string.slice(t.i),t.i=0},e.AmsMethods.xArrow=function(t,e,r,i,s){var l={width:"+"+n.default.Em((i+s)/18),lspace:n.default.Em(i/18)},c=t.GetBrackets(e),p=t.ParseArg(e),h=t.create("node","mspace",[],{depth:".25em"}),f=t.create("token","mo",{stretchy:!0,texClass:u.TEXCLASS.REL},String.fromCodePoint(r));f=t.create("node","mstyle",[f],{scriptlevel:0});var 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r=this.create("node","mpadded",[r],{height:this.getProperty("dh"),depth:this.getProperty("dd"),voffset:this.getProperty("dh")}),[[this.factory.create("mml",r)],!0];case"horizontal":return[[this.factory.create("mml",this.getProperty("left")),e,this.factory.create("mml",this.getProperty("right"))],!0]}}return t.prototype.checkItem.call(this,e)},e}(f.BaseItem);e.PositionItem=w;var T=function(t){function e(){return null!==t&&t.apply(this,arguments)||this}return o(e,t),Object.defineProperty(e.prototype,"kind",{get:function(){return"cell"},enumerable:!1,configurable:!0}),Object.defineProperty(e.prototype,"isClose",{get:function(){return!0},enumerable:!1,configurable:!0}),e}(f.BaseItem);e.CellItem=T;var A=function(t){function e(){return null!==t&&t.apply(this,arguments)||this}return o(e,t),Object.defineProperty(e.prototype,"isFinal",{get:function(){return!0},enumerable:!1,configurable:!0}),Object.defineProperty(e.prototype,"kind",{get:function(){return"mml"},enumerable:!1,configurable:!0}),e}(f.BaseItem);e.MmlItem=A;var L=function(t){function e(){return null!==t&&t.apply(this,arguments)||this}return o(e,t),Object.defineProperty(e.prototype,"kind",{get:function(){return"fn"},enumerable:!1,configurable:!0}),e.prototype.checkItem=function(e){var r=this.First;if(r){if(e.isOpen)return f.BaseItem.success;if(!e.isKind("fn")){var n=e.First;if(!e.isKind("mml")||!n)return[[r,e],!0];if(h.default.isType(n,"mstyle")&&n.childNodes.length&&h.default.isType(n.childNodes[0].childNodes[0],"mspace")||h.default.isType(n,"mspace"))return[[r,e],!0];h.default.isEmbellished(n)&&(n=h.default.getCoreMO(n));var o=h.default.getForm(n);if(null!=o&&[0,0,1,1,0,1,1,0,0,0][o[2]])return[[r,e],!0]}var i=this.create("token","mo",{texClass:c.TEXCLASS.NONE},l.entities.ApplyFunction);return[[r,i,e],!0]}return t.prototype.checkItem.apply(this,arguments)},e}(f.BaseItem);e.FnItem=L;var P=function(t){function e(){var e=null!==t&&t.apply(this,arguments)||this;return e.remap=s.MapHandler.getMap("not_remap"),e}return o(e,t),Object.defineProperty(e.prototype,"kind",{get:function(){return"not"},enumerable:!1,configurable:!0}),e.prototype.checkItem=function(t){var e,r,n;if(t.isKind("open")||t.isKind("left"))return f.BaseItem.success;if(t.isKind("mml")&&(h.default.isType(t.First,"mo")||h.default.isType(t.First,"mi")||h.default.isType(t.First,"mtext"))&&(e=t.First,1===(r=h.default.getText(e)).length&&!h.default.getProperty(e,"movesupsub")&&1===h.default.getChildren(e).length))return this.remap.contains(r)?(n=this.create("text",this.remap.lookup(r).char),h.default.setChild(e,0,n)):(n=this.create("text","\u0338"),h.default.appendChildren(e,[n])),[[t],!0];n=this.create("text","\u29f8");var o=this.create("node","mtext",[],{},n),i=this.create("node","mpadded",[o],{width:0});return[[e=this.create("node","TeXAtom",[i],{texClass:c.TEXCLASS.REL}),t],!0]},e}(f.BaseItem);e.NotItem=P;var N=function(t){function e(){return null!==t&&t.apply(this,arguments)||this}return o(e,t),Object.defineProperty(e.prototype,"kind",{get:function(){return"nonscript"},enumerable:!1,configurable:!0}),e.prototype.checkItem=function(t){if(t.isKind("mml")&&1===t.Size()){var e=t.First;if(e.isKind("mstyle")&&e.notParent&&(e=h.default.getChildren(h.default.getChildren(e)[0])[0]),e.isKind("mspace")){if(e!==t.First){var r=this.create("node","mrow",[t.Pop()]);t.Push(r)}this.factory.configuration.addNode("nonscript",t.First)}}return[[t],!0]},e}(f.BaseItem);e.NonscriptItem=N;var I=function(t){function e(){return null!==t&&t.apply(this,arguments)||this}return o(e,t),Object.defineProperty(e.prototype,"kind",{get:function(){return"dots"},enumerable:!1,configurable:!0}),e.prototype.checkItem=function(t){if(t.isKind("open")||t.isKind("left"))return f.BaseItem.success;var e=this.getProperty("ldots"),r=t.First;if(t.isKind("mml")&&h.default.isEmbellished(r)){var n=h.default.getTexClass(h.default.getCoreMO(r));n!==c.TEXCLASS.BIN&&n!==c.TEXCLASS.REL||(e=this.getProperty("cdots"))}return[[e,t],!0]},e}(f.BaseItem);e.DotsItem=I;var j=function(t){function e(){var e=null!==t&&t.apply(this,arguments)||this;return e.table=[],e.row=[],e.frame=[],e.hfill=[],e.arraydef={},e.dashed=!1,e}return o(e,t),Object.defineProperty(e.prototype,"kind",{get:function(){return"array"},enumerable:!1,configurable:!0}),Object.defineProperty(e.prototype,"isOpen",{get:function(){return!0},enumerable:!1,configurable:!0}),Object.defineProperty(e.prototype,"copyEnv",{get:function(){return!1},enumerable:!1,configurable:!0}),e.prototype.checkItem=function(e){if(e.isClose&&!e.isKind("over")){if(e.getProperty("isEntry"))return this.EndEntry(),this.clearEnv(),f.BaseItem.fail;if(e.getProperty("isCR"))return this.EndEntry(),this.EndRow(),this.clearEnv(),f.BaseItem.fail;this.EndTable(),this.clearEnv();var r=this.factory.create("mml",this.createMml());if(this.getProperty("requireClose")){if(e.isKind("close"))return[[r],!0];throw new u.default("MissingCloseBrace","Missing close brace")}return[[r,e],!0]}return t.prototype.checkItem.call(this,e)},e.prototype.createMml=function(){var t=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var e=this.create("node","mtable",this.table,this.arraydef);return t&&e.setProperty("scriptlevel",t),4===this.frame.length?h.default.setAttribute(e,"frame",this.dashed?"dashed":"solid"):this.frame.length&&(this.arraydef.rowlines&&(this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")),h.default.setAttribute(e,"frame",""),e=this.create("node","menclose",[e],{notation:this.frame.join(" ")}),"none"===(this.arraydef.columnlines||"none")&&"none"===(this.arraydef.rowlines||"none")||h.default.setAttribute(e,"data-padding",0)),(this.getProperty("open")||this.getProperty("close"))&&(e=p.default.fenced(this.factory.configuration,this.getProperty("open"),e,this.getProperty("close"))),e},e.prototype.EndEntry=function(){var t=this.create("node","mtd",this.nodes);this.hfill.length&&(0===this.hfill[0]&&h.default.setAttribute(t,"columnalign","right"),this.hfill[this.hfill.length-1]===this.Size()&&h.default.setAttribute(t,"columnalign",h.default.getAttribute(t,"columnalign")?"center":"left")),this.row.push(t),this.Clear(),this.hfill=[]},e.prototype.EndRow=function(){var t;this.getProperty("isNumbered")&&3===this.row.length?(this.row.unshift(this.row.pop()),t=this.create("node","mlabeledtr",this.row)):t=this.create("node","mtr",this.row),this.table.push(t),this.row=[]},e.prototype.EndTable=function(){(this.Size()||this.row.length)&&(this.EndEntry(),this.EndRow()),this.checkLines()},e.prototype.checkLines=function(){if(this.arraydef.rowlines){var t=this.arraydef.rowlines.split(/ /);t.length===this.table.length?(this.frame.push("bottom"),t.pop(),this.arraydef.rowlines=t.join(" ")):t.length<this.table.length-1&&(this.arraydef.rowlines+=" none")}if(this.getProperty("rowspacing")){for(var e=this.arraydef.rowspacing.split(/ /);e.length<this.table.length;)e.push(this.getProperty("rowspacing")+"em");this.arraydef.rowspacing=e.join(" ")}},e.prototype.addRowSpacing=function(t){if(this.arraydef.rowspacing){var e=this.arraydef.rowspacing.split(/ /);if(!this.getProperty("rowspacing")){var r=p.default.dimen2em(e[0]);this.setProperty("rowspacing",r)}for(var n=this.getProperty("rowspacing");e.length<this.table.length;)e.push(p.default.Em(n));e[this.table.length-1]=p.default.Em(Math.max(0,n+p.default.dimen2em(t))),this.arraydef.rowspacing=e.join(" ")}},e}(f.BaseItem);e.ArrayItem=j;var k=function(t){function e(e){for(var r=[],n=1;n<arguments.length;n++)r[n-1]=arguments[n];var o=t.call(this,e)||this;return o.maxrow=0,o.factory.configuration.tags.start(r[0],r[2],r[1]),o}return o(e,t),Object.defineProperty(e.prototype,"kind",{get:function(){return"eqnarray"},enumerable:!1,configurable:!0}),e.prototype.EndEntry=function(){this.row.length&&p.default.fixInitialMO(this.factory.configuration,this.nodes);var t=this.create("node","mtd",this.nodes);this.row.push(t),this.Clear()},e.prototype.EndRow=function(){this.row.length>this.maxrow&&(this.maxrow=this.row.length);var t="mtr",e=this.factory.configuration.tags.getTag();e&&(this.row=[e].concat(this.row),t="mlabeledtr"),this.factory.configuration.tags.clearTag();var r=this.create("node",t,this.row);this.table.push(r),this.row=[]},e.prototype.EndTable=function(){t.prototype.EndTable.call(this),this.factory.configuration.tags.end(),this.extendArray("columnalign",this.maxrow),this.extendArray("columnwidth",this.maxrow),this.extendArray("columnspacing",this.maxrow-1)},e.prototype.extendArray=function(t,e){if(this.arraydef[t]){var r=this.arraydef[t].split(/ /),n=a([],i(r));if(n.length>1){for(;n.length<e;)n.push.apply(n,a([],i(r)));this.arraydef[t]=n.slice(0,e).join(" ")}}},e}(j);e.EqnArrayItem=k;var R=function(t){function e(e){for(var r=[],n=1;n<arguments.length;n++)r[n-1]=arguments[n];var o=t.call(this,e)||this;return o.factory.configuration.tags.start("equation",!0,r[0]),o}return o(e,t),Object.defineProperty(e.prototype,"kind",{get:function(){return"equation"},enumerable:!1,configurable:!0}),Object.defineProperty(e.prototype,"isOpen",{get:function(){return!0},enumerable:!1,configurable:!0}),e.prototype.checkItem=function(e){if(e.isKind("end")){var r=this.toMml(),n=this.factory.configuration.tags.getTag();return this.factory.configuration.tags.end(),[[n?this.factory.configuration.tags.enTag(r,n):r,e],!0]}if(e.isKind("stop"))throw new u.default("EnvMissingEnd","Missing \\end{%1}",this.getName());return t.prototype.checkItem.call(this,e)},e}(f.BaseItem);e.EquationItem=R},1267:function(t,e,r){Object.defineProperty(e,"__esModule",{value:!0});var n=r(9140),o=r(8317),i=r(7693),a=r(5450),s=r(1130),l=r(9007),c=r(6010);new n.RegExpMap("letter",a.default.variable,/[a-z]/i),new n.RegExpMap("digit",a.default.digit,/[0-9.,]/),new n.RegExpMap("command",a.default.controlSequence,/^\\/),new n.MacroMap("special",{"{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\xa0":"Space","\u2019":"Prime"},i.default),new n.CharacterMap("mathchar0mi",a.default.mathchar0mi,{alpha:"\u03b1",beta:"\u03b2",gamma:"\u03b3",delta:"\u03b4",epsilon:"\u03f5",zeta:"\u03b6",eta:"\u03b7",theta:"\u03b8",iota:"\u03b9",kappa:"\u03ba",lambda:"\u03bb",mu:"\u03bc",nu:"\u03bd",xi:"\u03be",omicron:"\u03bf",pi:"\u03c0",rho:"\u03c1",sigma:"\u03c3",tau:"\u03c4",upsilon:"\u03c5",phi:"\u03d5",chi:"\u03c7",psi:"\u03c8",omega:"\u03c9",varepsilon:"\u03b5",vartheta:"\u03d1",varpi:"\u03d6",varrho:"\u03f1",varsigma:"\u03c2",varphi:"\u03c6",S:["\xa7",{mathvariant:o.TexConstant.Variant.NORMAL}],aleph:["\u2135",{mathvariant:o.TexConstant.Variant.NORMAL}],hbar:["\u210f",{variantForm:!0}],imath:"\u0131",jmath:"\u0237",ell:"\u2113",wp:["\u2118",{mathvariant:o.TexConstant.Variant.NORMAL}],Re:["\u211c",{mathvariant:o.TexConstant.Variant.NORMAL}],Im:["\u2111",{mathvariant:o.TexConstant.Variant.NORMAL}],partial:["\u2202",{mathvariant:o.TexConstant.Variant.ITALIC}],infty:["\u221e",{mathvariant:o.TexConstant.Variant.NORMAL}],prime:["\u2032",{variantForm:!0}],emptyset:["\u2205",{mathvariant:o.TexConstant.Variant.NORMAL}],nabla:["\u2207",{mathvariant:o.TexConstant.Variant.NORMAL}],top:["\u22a4",{mathvariant:o.TexConstant.Variant.NORMAL}],bot:["\u22a5",{mathvariant:o.TexConstant.Variant.NORMAL}],angle:["\u2220",{mathvariant:o.TexConstant.Variant.NORMAL}],triangle:["\u25b3",{mathvariant:o.TexConstant.Variant.NORMAL}],backslash:["\u2216",{mathvariant:o.TexConstant.Variant.NORMAL}],forall:["\u2200",{mathvariant:o.TexConstant.Variant.NORMAL}],exists:["\u2203",{mathvariant:o.TexConstant.Variant.NORMAL}],neg:["\xac",{mathvariant:o.TexConstant.Variant.NORMAL}],lnot:["\xac",{mathvariant:o.TexConstant.Variant.NORMAL}],flat:["\u266d",{mathvariant:o.TexConstant.Variant.NORMAL}],natural:["\u266e",{mathvariant:o.TexConstant.Variant.NORMAL}],sharp:["\u266f",{mathvariant:o.TexConstant.Variant.NORMAL}],clubsuit:["\u2663",{mathvariant:o.TexConstant.Variant.NORMAL}],diamondsuit:["\u2662",{mathvariant:o.TexConstant.Variant.NORMAL}],heartsuit:["\u2661",{mathvariant:o.TexConstant.Variant.NORMAL}],spadesuit:["\u2660",{mathvariant:o.TexConstant.Variant.NORMAL}]}),new n.CharacterMap("mathchar0mo",a.default.mathchar0mo,{surd:"\u221a",coprod:["\u2210",{texClass:l.TEXCLASS.OP,movesupsub:!0}],bigvee:["\u22c1",{texClass:l.TEXCLASS.OP,movesupsub:!0}],bigwedge:["\u22c0",{texClass:l.TEXCLASS.OP,movesupsub:!0}],biguplus:["\u2a04",{texClass:l.TEXCLASS.OP,movesupsub:!0}],bigcap:["\u22c2",{texClass:l.TEXCLASS.OP,movesupsub:!0}],bigcup:["\u22c3",{texClass:l.TEXCLASS.OP,movesupsub:!0}],int:["\u222b",{texClass:l.TEXCLASS.OP}],intop:["\u222b",{texClass:l.TEXCLASS.OP,movesupsub:!0,movablelimits:!0}],iint:["\u222c",{texClass:l.TEXCLASS.OP}],iiint:["\u222d",{texClass:l.TEXCLASS.OP}],prod:["\u220f",{texClass:l.TEXCLASS.OP,movesupsub:!0}],sum:["\u2211",{texClass:l.TEXCLASS.OP,movesupsub:!0}],bigotimes:["\u2a02",{texClass:l.TEXCLASS.OP,movesupsub:!0}],bigoplus:["\u2a01",{texClass:l.TEXCLASS.OP,movesupsub:!0}],bigodot:["\u2a00",{texClass:l.TEXCLASS.OP,movesupsub:!0}],oint:["\u222e",{texClass:l.TEXCLASS.OP}],bigsqcup:["\u2a06",{texClass:l.TEXCLASS.OP,movesupsub:!0}],smallint:["\u222b",{largeop:!1}],triangleleft:"\u25c3",triangleright:"\u25b9",bigtriangleup:"\u25b3",bigtriangledown:"\u25bd",wedge:"\u2227",land:"\u2227",vee:"\u2228",lor:"\u2228",cap:"\u2229",cup:"\u222a",ddagger:"\u2021",dagger:"\u2020",sqcap:"\u2293",sqcup:"\u2294",uplus:"\u228e",amalg:"\u2a3f",diamond:"\u22c4",bullet:"\u2219",wr:"\u2240",div:"\xf7",divsymbol:"\xf7",odot:["\u2299",{largeop:!1}],oslash:["\u2298",{largeop:!1}],otimes:["\u2297",{largeop:!1}],ominus:["\u2296",{largeop:!1}],oplus:["\u2295",{largeop:!1}],mp:"\u2213",pm:"\xb1",circ:"\u2218",bigcirc:"\u25ef",setminus:"\u2216",cdot:"\u22c5",ast:"\u2217",times:"\xd7",star:"\u22c6",propto:"\u221d",sqsubseteq:"\u2291",sqsupseteq:"\u2292",parallel:"\u2225",mid:"\u2223",dashv:"\u22a3",vdash:"\u22a2",leq:"\u2264",le:"\u2264",geq:"\u2265",ge:"\u2265",lt:"<",gt:">",succ:"\u227b",prec:"\u227a",approx:"\u2248",succeq:"\u2ab0",preceq:"\u2aaf",supset:"\u2283",subset:"\u2282",supseteq:"\u2287",subseteq:"\u2286",in:"\u2208",ni:"\u220b",notin:"\u2209",owns:"\u220b",gg:"\u226b",ll:"\u226a",sim:"\u223c",simeq:"\u2243",perp:"\u22a5",equiv:"\u2261",asymp:"\u224d",smile:"\u2323",frown:"\u2322",ne:"\u2260",neq:"\u2260",cong:"\u2245",doteq:"\u2250",bowtie:"\u22c8",models:"\u22a8",notChar:"\u29f8",Leftrightarrow:"\u21d4",Leftarrow:"\u21d0",Rightarrow:"\u21d2",leftrightarrow:"\u2194",leftarrow:"\u2190",gets:"\u2190",rightarrow:"\u2192",to:["\u2192",{accent:!1}],mapsto:"\u21a6",leftharpoonup:"\u21bc",leftharpoondown:"\u21bd",rightharpoonup:"\u21c0",rightharpoondown:"\u21c1",nearrow:"\u2197",searrow:"\u2198",nwarrow:"\u2196",swarrow:"\u2199",rightleftharpoons:"\u21cc",hookrightarrow:"\u21aa",hookleftarrow:"\u21a9",longleftarrow:"\u27f5",Longleftarrow:"\u27f8",longrightarrow:"\u27f6",Longrightarrow:"\u27f9",Longleftrightarrow:"\u27fa",longleftrightarrow:"\u27f7",longmapsto:"\u27fc",ldots:"\u2026",cdots:"\u22ef",vdots:"\u22ee",ddots:"\u22f1",dotsc:"\u2026",dotsb:"\u22ef",dotsm:"\u22ef",dotsi:"\u22ef",dotso:"\u2026",ldotp:[".",{texClass:l.TEXCLASS.PUNCT}],cdotp:["\u22c5",{texClass:l.TEXCLASS.PUNCT}],colon:[":",{texClass:l.TEXCLASS.PUNCT}]}),new 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r,n,o=this.node.attributes.getList("numalign","denomalign"),a=o.numalign,s=o.denomalign,l=t?{type:"d"}:{},c=this.node.getProperty("withDelims")?i(i({},l),{delims:"true"}):i({},l),u="center"!==a?{align:a}:{},p="center"!==s?{align:s}:{},h=i({},l),f=i({},l),d=this.font.params;if(.06!==e){var y=d.axis_height,m=this.em(e),v=this.getTUV(t,e),b=v.T,g=v.u,M=v.v,O=(t?this.em(3*e):m)+" -.1em";l.style={height:m,"border-top":m+" solid",margin:O};var x=this.em(Math.max(0,g));f.style={height:x,"vertical-align":"-"+x},h.style={height:this.em(Math.max(0,M))},c.style={"vertical-align":this.em(y-b)}}this.adaptor.append(this.chtml,this.html("mjx-frac",c,[r=this.html("mjx-num",u,[this.html("mjx-nstrut",f)]),this.html("mjx-dbox",{},[this.html("mjx-dtable",{},[this.html("mjx-line",l),this.html("mjx-row",{},[n=this.html("mjx-den",p,[this.html("mjx-dstrut",h)])])])])])),this.childNodes[0].toCHTML(r),this.childNodes[1].toCHTML(n)},e.prototype.makeAtop=function(t){var 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u=this.em(-s/2);e.setStyle(this.bevel.chtml,"marginLeft",u),e.setStyle(this.bevel.chtml,"marginRight",u)},e.kind=l.MmlMfrac.prototype.kind,e.styles={"mjx-frac":{display:"inline-block","vertical-align":"0.17em",padding:"0 .22em"},'mjx-frac[type="d"]':{"vertical-align":".04em"},"mjx-frac[delims]":{padding:"0 .1em"},"mjx-frac[atop]":{padding:"0 .12em"},"mjx-frac[atop][delims]":{padding:"0"},"mjx-dtable":{display:"inline-table",width:"100%"},"mjx-dtable > *":{"font-size":"2000%"},"mjx-dbox":{display:"block","font-size":"5%"},"mjx-num":{display:"block","text-align":"center"},"mjx-den":{display:"block","text-align":"center"},"mjx-mfrac[bevelled] > mjx-num":{display:"inline-block"},"mjx-mfrac[bevelled] > mjx-den":{display:"inline-block"},'mjx-den[align="right"], mjx-num[align="right"]':{"text-align":"right"},'mjx-den[align="left"], mjx-num[align="left"]':{"text-align":"left"},"mjx-nstrut":{display:"inline-block",height:".054em",width:0,"vertical-align":"-.054em"},'mjx-nstrut[type="d"]':{height:".217em","vertical-align":"-.217em"},"mjx-dstrut":{display:"inline-block",height:".505em",width:0},'mjx-dstrut[type="d"]':{height:".726em"},"mjx-line":{display:"block","box-sizing":"border-box","min-height":"1px",height:".06em","border-top":".06em solid",margin:".06em -.1em",overflow:"hidden"},'mjx-line[type="d"]':{margin:".18em -.1em"}},e}(s.CommonMfracMixin(a.CHTMLWrapper));e.CHTMLmfrac=c},6911:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)Object.prototype.hasOwnProperty.call(e,r)&&(t[r]=e[r])})(t,e)},function(t,e){if("function"!=typeof e&&null!==e)throw new TypeError("Class extends value "+String(e)+" is not a constructor or null");function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)});Object.defineProperty(e,"__esModule",{value:!0}),e.CHTMLmglyph=void 0;var i=r(5355),a=r(5636),s=r(3985),l=function(t){function e(){return null!==t&&t.apply(this,arguments)||this}return o(e,t),e.prototype.toCHTML=function(t){var e=this.standardCHTMLnode(t),r=this.node.attributes.getList("src","alt"),n=r.src,o=r.alt,i={width:this.em(this.width),height:this.em(this.height)};this.valign&&(i.verticalAlign=this.em(this.valign));var a=this.html("img",{src:n,style:i,alt:o,title:o});this.adaptor.append(e,a)},e.kind=s.MmlMglyph.prototype.kind,e.styles={"mjx-mglyph > img":{display:"inline-block",border:0,padding:0}},e}(a.CommonMglyphMixin(i.CHTMLWrapper));e.CHTMLmglyph=l},1653:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in 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t=this.labels,e=this.node.attributes,r=this.adaptor,n=e.get("side");r.setAttribute(this.chtml,"side",n),r.setAttribute(t,"align",n),r.setStyle(t,n,"0");var o=a(this.addLabelPadding(n),2),i=o[0],s=o[1];if(s){var l=r.firstChild(this.chtml);this.setIndent(l,i,s)}this.updateRowHeights(),this.addLabelSpacing()}},e.prototype.addLabelPadding=function(t){var e=a(this.getPadAlignShift(t),3),r=e[1],n=e[2],o={};if("right"===t&&!this.node.attributes.get("data-width-includes-label")){var i=this.node.attributes.get("width"),s=this.getBBox(),l=s.w,c=s.L,p=s.R;o.style={width:u.isPercent(i)?"calc("+i+" + "+this.em(c+p)+")":this.em(c+l+p)}}return this.adaptor.append(this.chtml,this.html("mjx-labels",o,[this.labels])),[r,n]},e.prototype.updateRowHeights=function(){for(var t=this.getTableData(),e=t.H,r=t.D,n=t.NH,o=t.ND,i=this.getRowHalfSpacing(),a=0;a<this.numRows;a++){var s=this.childNodes[a];this.setRowHeight(s,e[a]+r[a]+i[a]+i[a+1]+this.rLines[a]),e[a]!==n[a]||r[a]!==o[a]?this.setRowBaseline(s,e[a]+r[a],r[a]):s.node.isKind("mlabeledtr")&&this.setCellBaseline(s.childNodes[0],"",e[a]+r[a],r[a])}},e.prototype.addLabelSpacing=function(){for(var t=this.adaptor,e=this.node.attributes.get("equalrows"),r=this.getTableData(),n=r.H,o=r.D,i=e?this.getEqualRowHeight():0,a=this.getRowHalfSpacing(),s=this.fLine,l=t.firstChild(this.labels),c=0;c<this.numRows;c++){this.childNodes[c].node.isKind("mlabeledtr")?(s&&t.insert(this.html("mjx-mtr",{style:{height:this.em(s)}}),l),t.setStyle(l,"height",this.em((e?i:n[c]+o[c])+a[c]+a[c+1])),l=t.next(l),s=this.rLines[c]):s+=a[c]+(e?i:n[c]+o[c])+a[c+1]+this.rLines[c]}},e.kind=c.MmlMtable.prototype.kind,e.styles={"mjx-mtable":{"vertical-align":".25em","text-align":"center",position:"relative","box-sizing":"border-box","border-spacing":0,"border-collapse":"collapse"},'mjx-mstyle[size="s"] mjx-mtable':{"vertical-align":".354em"},"mjx-labels":{position:"absolute",left:0,top:0},"mjx-table":{display:"inline-block","vertical-align":"-.5ex","box-sizing":"border-box"},"mjx-table > mjx-itable":{"vertical-align":"middle","text-align":"left","box-sizing":"border-box"},"mjx-labels > mjx-itable":{position:"absolute",top:0},'mjx-mtable[justify="left"]':{"text-align":"left"},'mjx-mtable[justify="right"]':{"text-align":"right"},'mjx-mtable[justify="left"][side="left"]':{"padding-right":"0 ! important"},'mjx-mtable[justify="left"][side="right"]':{"padding-left":"0 ! important"},'mjx-mtable[justify="right"][side="left"]':{"padding-right":"0 ! important"},'mjx-mtable[justify="right"][side="right"]':{"padding-left":"0 ! important"},"mjx-mtable[align]":{"vertical-align":"baseline"},'mjx-mtable[align="top"] > mjx-table':{"vertical-align":"top"},'mjx-mtable[align="bottom"] > mjx-table':{"vertical-align":"bottom"},'mjx-mtable[side="right"] mjx-labels':{"min-width":"100%"}},e}(l.CommonMtableMixin(s.CHTMLWrapper));e.CHTMLmtable=p},7056:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)Object.prototype.hasOwnProperty.call(e,r)&&(t[r]=e[r])})(t,e)},function(t,e){if("function"!=typeof e&&null!==e)throw new TypeError("Class extends value "+String(e)+" is not a constructor or null");function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)});Object.defineProperty(e,"__esModule",{value:!0}),e.CHTMLmtd=void 0;var i=r(5355),a=r(5164),s=r(4359),l=function(t){function e(){return null!==t&&t.apply(this,arguments)||this}return o(e,t),e.prototype.toCHTML=function(e){t.prototype.toCHTML.call(this,e);var 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r=this.adaptor.append(this.adaptor.append(this.chtml,this.html("mjx-row")),this.html("mjx-base")),n=this.adaptor.append(this.adaptor.append(this.chtml,this.html("mjx-row")),this.html("mjx-under"));this.baseChild.toCHTML(r),this.scriptChild.toCHTML(n);var o=this.baseChild.getBBox(),i=this.scriptChild.getBBox(),a=this.getUnderKV(o,i)[0],s=this.isLineBelow?0:this.getDelta(!0);this.adaptor.setStyle(n,"paddingTop",this.em(a)),this.setDeltaW([r,n],this.getDeltaW([o,i],[0,-s])),this.adjustUnderDepth(n,i)},e.kind=c.MmlMunder.prototype.kind,e.styles={"mjx-over":{"text-align":"left"},'mjx-munder:not([limits="false"])':{display:"inline-table"},"mjx-munder > mjx-row":{"text-align":"left"},"mjx-under":{"padding-bottom":".1em"}},e}(a.CommonMunderMixin(i.CHTMLmsub));e.CHTMLmunder=u;var p=function(t){function e(){return null!==t&&t.apply(this,arguments)||this}return o(e,t),e.prototype.toCHTML=function(e){if(this.hasMovableLimits())return t.prototype.toCHTML.call(this,e),void 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a=this.overChild.getBBox(),s=this.baseChild.getBBox(),l=this.underChild.getBBox(),c=this.getOverKU(s,a)[0],u=this.getUnderKV(s,l)[0],p=this.getDelta();this.adaptor.setStyle(r,"paddingBottom",this.em(c)),this.adaptor.setStyle(i,"paddingTop",this.em(u)),this.setDeltaW([o,i,r],this.getDeltaW([s,l,a],[0,this.isLineBelow?0:-p,this.isLineAbove?0:p])),this.adjustOverDepth(r,a),this.adjustUnderDepth(i,l)},e.prototype.markUsed=function(){t.prototype.markUsed.call(this),this.jax.wrapperUsage.add(i.CHTMLmsubsup.kind)},e.kind=c.MmlMunderover.prototype.kind,e.styles={'mjx-munderover:not([limits="false"])':{"padding-top":".1em"},'mjx-munderover:not([limits="false"]) > *':{display:"block"}},e}(l.CommonMunderoverMixin(i.CHTMLmsubsup));e.CHTMLmunderover=h},8650:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in 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e=this.node.attributes;return e.get("bevelled")?"left":e.get(["numalign","denomalign"][t])},e}(t)}},5636:function(t,e){var r,n=this&&this.__extends||(r=function(t,e){return(r=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)Object.prototype.hasOwnProperty.call(e,r)&&(t[r]=e[r])})(t,e)},function(t,e){if("function"!=typeof e&&null!==e)throw new TypeError("Class extends value "+String(e)+" is not a constructor or null");function n(){this.constructor=t}r(t,e),t.prototype=null===e?Object.create(e):(n.prototype=e.prototype,new n)}),o=this&&this.__read||function(t,e){var r="function"==typeof Symbol&&t[Symbol.iterator];if(!r)return t;var n,o,i=r.call(t),a=[];try{for(;(void 0===e||e-- >0)&&!(n=i.next()).done;)a.push(n.value)}catch(t){o={error:t}}finally{try{n&&!n.done&&(r=i.return)&&r.call(i)}finally{if(o)throw o.error}}return a},i=this&&this.__spreadArray||function(t,e){for(var r=0,n=e.length,o=t.length;r<n;r++,o++)t[o]=e[r];return t};Object.defineProperty(e,"__esModule",{value:!0}),e.CommonMglyphMixin=void 0,e.CommonMglyphMixin=function(t){return function(t){function e(){for(var e=[],r=0;r<arguments.length;r++)e[r]=arguments[r];var n=t.apply(this,i([],o(e)))||this;return n.getParameters(),n}return n(e,t),e.prototype.getParameters=function(){var t=this.node.attributes.getList("width","height","valign"),e=t.width,r=t.height,n=t.valign;this.width="auto"===e?1:this.length2em(e),this.height="auto"===r?1:this.length2em(r),this.valign=this.length2em(n||"0")},e.prototype.computeBBox=function(t,e){void 0===e&&(e=!1),t.w=this.width,t.h=this.height+this.valign,t.d=-this.valign},e}(t)}},5723:function(t,e){var r,n=this&&this.__extends||(r=function(t,e){return(r=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)Object.prototype.hasOwnProperty.call(e,r)&&(t[r]=e[r])})(t,e)},function(t,e){if("function"!=typeof e&&null!==e)throw new TypeError("Class extends value "+String(e)+" is not a constructor or null");function n(){this.constructor=t}r(t,e),t.prototype=null===e?Object.create(e):(n.prototype=e.prototype,new n)});Object.defineProperty(e,"__esModule",{value:!0}),e.CommonMiMixin=void 0,e.CommonMiMixin=function(t){return function(t){function e(){return null!==t&&t.apply(this,arguments)||this}return n(e,t),e.prototype.computeBBox=function(e,r){void 0===r&&(r=!1),t.prototype.computeBBox.call(this,e),this.copySkewIC(e)},e}(t)}},8009:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)Object.prototype.hasOwnProperty.call(e,r)&&(t[r]=e[r])})(t,e)},function(t,e){if("function"!=typeof e&&null!==e)throw new TypeError("Class extends value "+String(e)+" is not a constructor or null");function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)}),i=this&&this.__read||function(t,e){var r="function"==typeof Symbol&&t[Symbol.iterator];if(!r)return t;var n,o,i=r.call(t),a=[];try{for(;(void 0===e||e-- >0)&&!(n=i.next()).done;)a.push(n.value)}catch(t){o={error:t}}finally{try{n&&!n.done&&(r=i.return)&&r.call(i)}finally{if(o)throw o.error}}return a},a=this&&this.__spreadArray||function(t,e){for(var r=0,n=e.length,o=t.length;r<n;r++,o++)t[o]=e[r];return t},s=this&&this.__values||function(t){var e="function"==typeof Symbol&&Symbol.iterator,r=e&&t[e],n=0;if(r)return r.call(t);if(t&&"number"==typeof t.length)return{next:function(){return t&&n>=t.length&&(t=void 0),{value:t&&t[n++],done:!t}}};throw new TypeError(e?"Object is not iterable.":"Symbol.iterator is not defined.")};Object.defineProperty(e,"__esModule",{value:!0}),e.CommonMmultiscriptsMixin=e.ScriptNames=e.NextScript=void 0;var l=r(6469);e.NextScript={base:"subList",subList:"supList",supList:"subList",psubList:"psupList",psupList:"psubList"},e.ScriptNames=["sup","sup","psup","psub"],e.CommonMmultiscriptsMixin=function(t){return function(t){function r(){for(var e=[],r=0;r<arguments.length;r++)e[r]=arguments[r];var n=t.apply(this,a([],i(e)))||this;return n.scriptData=null,n.firstPrescript=0,n.getScriptData(),n}return o(r,t),r.prototype.combinePrePost=function(t,e){var r=new l.BBox(t);return r.combine(e,0,0),r},r.prototype.computeBBox=function(t,e){void 0===e&&(e=!1);var r=this.font.params.scriptspace,n=this.scriptData,o=this.combinePrePost(n.sub,n.psub),a=this.combinePrePost(n.sup,n.psup),s=i(this.getUVQ(o,a),2),l=s[0],c=s[1];if(t.empty(),n.numPrescripts&&(t.combine(n.psup,r,l),t.combine(n.psub,r,c)),t.append(n.base),n.numScripts){var u=t.w;t.combine(n.sup,u,l),t.combine(n.sub,u,c),t.w+=r}t.clean(),this.setChildPWidths(e)},r.prototype.getScriptData=function(){var t=this.scriptData={base:null,sub:l.BBox.empty(),sup:l.BBox.empty(),psub:l.BBox.empty(),psup:l.BBox.empty(),numPrescripts:0,numScripts:0},e=this.getScriptBBoxLists();this.combineBBoxLists(t.sub,t.sup,e.subList,e.supList),this.combineBBoxLists(t.psub,t.psup,e.psubList,e.psupList),t.base=e.base[0],t.numPrescripts=e.psubList.length,t.numScripts=e.subList.length},r.prototype.getScriptBBoxLists=function(){var t,r,n={base:[],subList:[],supList:[],psubList:[],psupList:[]},o="base";try{for(var i=s(this.childNodes),a=i.next();!a.done;a=i.next()){var l=a.value;l.node.isKind("mprescripts")?o="psubList":(n[o].push(l.getBBox()),o=e.NextScript[o])}}catch(e){t={error:e}}finally{try{a&&!a.done&&(r=i.return)&&r.call(i)}finally{if(t)throw t.error}}return this.firstPrescript=n.subList.length+n.supList.length+2,this.padLists(n.subList,n.supList),this.padLists(n.psubList,n.psupList),n},r.prototype.padLists=function(t,e){t.length>e.length&&e.push(l.BBox.empty())},r.prototype.combineBBoxLists=function(t,e,r,n){for(var o=0;o<r.length;o++){var a=i(this.getScaledWHD(r[o]),3),s=a[0],l=a[1],c=a[2],u=i(this.getScaledWHD(n[o]),3),p=u[0],h=u[1],f=u[2],d=Math.max(s,p);t.w+=d,e.w+=d,l>t.h&&(t.h=l),c>t.d&&(t.d=c),h>e.h&&(e.h=h),f>e.d&&(e.d=f)}},r.prototype.getScaledWHD=function(t){var e=t.w,r=t.h,n=t.d,o=t.rscale;return[e*o,r*o,n*o]},r.prototype.getUVQ=function(e,r){var n;if(!this.UVQ){var o=i([0,0,0],3),a=o[0],s=o[1],l=o[2];0===e.h&&0===e.d?a=this.getU():0===r.h&&0===r.d?a=-this.getV():(a=(n=i(t.prototype.getUVQ.call(this,e,r),3))[0],s=n[1],l=n[2]),this.UVQ=[a,s,l]}return this.UVQ},r}(t)}},5023:function(t,e){var r,n=this&&this.__extends||(r=function(t,e){return(r=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)Object.prototype.hasOwnProperty.call(e,r)&&(t[r]=e[r])})(t,e)},function(t,e){if("function"!=typeof e&&null!==e)throw new TypeError("Class extends value "+String(e)+" is not a constructor or null");function n(){this.constructor=t}r(t,e),t.prototype=null===e?Object.create(e):(n.prototype=e.prototype,new n)});Object.defineProperty(e,"__esModule",{value:!0}),e.CommonMnMixin=void 0,e.CommonMnMixin=function(t){return function(t){function e(){return null!==t&&t.apply(this,arguments)||this}return n(e,t),e.prototype.remapChars=function(t){if(t.length){var e=this.font.getRemappedChar("mn",t[0]);if(e){var r=this.unicodeChars(e,this.variant);1===r.length?t[0]=r[0]:t=r.concat(t.slice(1))}}return t},e}(t)}},7096:function(t,e,r){var n,o,i=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)Object.prototype.hasOwnProperty.call(e,r)&&(t[r]=e[r])})(t,e)},function(t,e){if("function"!=typeof e&&null!==e)throw new TypeError("Class extends value "+String(e)+" is not a constructor or null");function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)}),a=this&&this.__assign||function(){return(a=Object.assign||function(t){for(var e,r=1,n=arguments.length;r<n;r++)for(var o in e=arguments[r])Object.prototype.hasOwnProperty.call(e,o)&&(t[o]=e[o]);return t}).apply(this,arguments)},s=this&&this.__read||function(t,e){var r="function"==typeof Symbol&&t[Symbol.iterator];if(!r)return t;var n,o,i=r.call(t),a=[];try{for(;(void 0===e||e-- >0)&&!(n=i.next()).done;)a.push(n.value)}catch(t){o={error:t}}finally{try{n&&!n.done&&(r=i.return)&&r.call(i)}finally{if(o)throw o.error}}return a},l=this&&this.__spreadArray||function(t,e){for(var r=0,n=e.length,o=t.length;r<n;r++,o++)t[o]=e[r];return t},c=this&&this.__values||function(t){var e="function"==typeof Symbol&&Symbol.iterator,r=e&&t[e],n=0;if(r)return r.call(t);if(t&&"number"==typeof t.length)return{next:function(){return t&&n>=t.length&&(t=void 0),{value:t&&t[n++],done:!t}}};throw new TypeError(e?"Object is not iterable.":"Symbol.iterator is not defined.")};Object.defineProperty(e,"__esModule",{value:!0}),e.CommonMoMixin=e.DirectionVH=void 0;var u=r(6469),p=r(505),h=r(5884);e.DirectionVH=((o={})[1]="v",o[2]="h",o),e.CommonMoMixin=function(t){return function(t){function e(){for(var e=[],r=0;r<arguments.length;r++)e[r]=arguments[r];var n=t.apply(this,l([],s(e)))||this;return n.size=null,n.isAccent=n.node.isAccent,n}return i(e,t),e.prototype.computeBBox=function(t,e){if(void 0===e&&(e=!1),this.protoBBox(t),this.node.attributes.get("symmetric")&&2!==this.stretch.dir){var r=this.getCenterOffset(t);t.h+=r,t.d-=r}this.node.getProperty("mathaccent")&&(0===this.stretch.dir||this.size>=0)&&(t.w=0)},e.prototype.protoBBox=function(e){var 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t=(100*parseFloat(this.settings.scale)).toFixed(1).replace(/.0$/,""),e=prompt("Scale all mathematics (compared to surrounding text) by",t+"%");if(e)if(e.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){var r=parseFloat(e)/100;r?this.setScale(String(r)):alert("The scale should not be zero")}else alert("The scale should be a percentage (e.g., 120%)")},t.prototype.resetDefaults=function(){var e,r;t.loading++;var n=this.menu.pool,i=this.defaultSettings;try{for(var s=o(Object.keys(this.settings)),l=s.next();!l.done;l=s.next()){var c=l.value,u=n.lookup(c);if(u){u.setValue(i[c]);var p=u.items[0];p&&p.executeCallbacks_()}else this.settings[c]=i[c]}}catch(t){e={error:t}}finally{try{l&&!l.done&&(r=s.return)&&r.call(s)}finally{if(e)throw e.error}}t.loading--,this.rerender(a.STATE.COMPILED)},t.prototype.checkComponent=function(e){var r=t.loadingPromises.get(e);r&&i.mathjax.retryAfter(r)},t.prototype.loadComponent=function(e,r){if(!t.loadingPromises.has(e)){var n=m.loader;if(n){t.loading++;var o=n.load(e).then((function(){t.loading--,t.loadingPromises.delete(e),r(),0===t.loading&&t._loadingPromise&&(t._loadingPromise=null,t._loadingOK())})).catch((function(e){t._loadingPromise?(t._loadingPromise=null,t._loadingFailed(e)):console.log(e)}));t.loadingPromises.set(e,o)}}},t.prototype.loadA11y=function(e){var r=this,n=!a.STATE.ENRICHED;this.loadComponent("a11y/"+e,(function(){var o=m.startup;i.mathjax.handlers.unregister(o.handler),o.handler=o.getHandler(),i.mathjax.handlers.register(o.handler);var s=r.document;r.document=o.document=o.getDocument(),r.document.menu=r,r.document.outputJax.reset(),r.transferMathList(s),r.document.processed=s.processed,t._loadingPromise||(r.document.outputJax.reset(),r.rerender("complexity"===e||n?a.STATE.COMPILED:a.STATE.TYPESET))}))},t.prototype.transferMathList=function(t){var e,r,n=this.document.options.MathItem;try{for(var i=o(t.math),a=i.next();!a.done;a=i.next()){var s=a.value,l=new 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s=window.pageXOffset||document.documentElement.scrollLeft,l=window.pageYOffset||document.documentElement.scrollTop,c=n.getBoundingClientRect();o=(c.right+c.left)/2+s,i=(c.bottom+c.top)/2+l}this.store.active=n,this.anchor=this.store.active;var u=this.html;o+u.offsetWidth>document.body.offsetWidth-5&&(o=document.body.offsetWidth-u.offsetWidth-5),this.post(o,i)},e.prototype.registerWidget=function(t){this.widgets.push(t)},e.prototype.unregisterWidget=function(t){var e=this.widgets.indexOf(t);e>-1&&this.widgets.splice(e,1),0===this.widgets.length&&this.unpost()},e.prototype.unpostWidgets=function(){this.widgets.forEach((function(t){return t.unpost()}))},e.prototype.toJson=function(){return{type:""}},e.prototype.move_=function(t){this.anchor&&t!==this.anchor&&(this.moving=!0,this.unpost(),this.post(t),this.moving=!1)},e}(i.AbstractMenu);e.ContextMenu=c},7309:function(t,e,r){Object.defineProperty(e,"__esModule",{value:!0}),e.CssStyles=void 0;var n=r(2165);!function(t){function 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#808080; /* Safari 3 & Chrome */ -moz-box-shadow:0px 10px 20px #808080; /* Forefox 3.5 */ -khtml-box-shadow:0px 10px 20px #808080; /* Konqueror */ filter:progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color="gray", Positive="true"); /* IE */}';var o={};o[e("MENU")]="{ position:absolute; background-color:white; color:black; width:auto; padding:5px 0px; border:1px solid #CCCCCC; margin:0; cursor:default; font: menu; text-align:left; text-indent:0; text-transform:none; line-height:normal; letter-spacing:normal; word-spacing:normal; word-wrap:normal; white-space:nowrap; float:none; z-index:201; border-radius: 5px; /* Opera 10.5 and IE9 */ -webkit-border-radius: 5px; /* Safari and Chrome */ -moz-border-radius: 5px; /* Firefox */ -khtml-border-radius: 5px; /* Konqueror */ box-shadow:0px 10px 20px #808080; /* Opera 10.5 and IE9 */ -webkit-box-shadow:0px 10px 20px #808080; /* Safari 3 & Chrome */ -moz-box-shadow:0px 10px 20px #808080; /* Forefox 3.5 */ -khtml-box-shadow:0px 10px 20px #808080; /* Konqueror */}",o[e("MENUITEM")]="{ padding: 1px 2em; background:transparent;}",o[e("MENUARROW")]="{ position:absolute; right:.5em; padding-top:.25em; color:#666666; font-family: null; font-size: .75em}",o[e("MENUACTIVE")+" "+e("MENUARROW")]="{color:white}",o[e("MENUARROW")+e("RTL")]="{left:.5em; right:auto}",o[e("MENUCHECK")]="{ position:absolute; left:.7em; font-family: null}",o[e("MENUCHECK")+e("RTL")]="{ right:.7em; left:auto }",o[e("MENURADIOCHECK")]="{ position:absolute; left: .7em;}",o[e("MENURADIOCHECK")+e("RTL")]="{ right: .7em; left:auto}",o[e("MENUINPUTBOX")]="{ padding-left: 1em; right:.5em; color:#666666; font-family: null;}",o[e("MENUINPUTBOX")+e("RTL")]="{ left: .1em;}",o[e("MENUCOMBOBOX")]="{ left:.1em; padding-bottom:.5em;}",o[e("MENUSLIDER")]="{ left: .1em;}",o[e("SLIDERVALUE")]="{ position:absolute; right:.1em; padding-top:.25em; color:#333333; font-size: .75em}",o[e("SLIDERBAR")]="{ outline: none; background: #d3d3d3}",o[e("MENULABEL")]="{ padding: 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border:2px solid #AAA; border-radius:18px; -webkit-border-radius: 18px; /* Safari and Chrome */ -moz-border-radius: 18px; /* Firefox */ -khtml-border-radius: 18px; /* Konqueror */ font-family: "Courier New", Courier; font-size:24px; color:#F0F0F0}',i[e("MENUCLOSE")+" span"]="{ display:block; background-color:#AAA; border:1.5px solid; border-radius:18px; -webkit-border-radius: 18px; /* Safari and Chrome */ -moz-border-radius: 18px; /* Firefox */ -khtml-border-radius: 18px; /* Konqueror */ line-height:0; padding:8px 0 6px /* may need to be browser-specific */}",i[e("MENUCLOSE")+":hover"]="{ color:white!important; border:2px solid #CCC!important}",i[e("MENUCLOSE")+":hover span"]="{ background-color:#CCC!important}",i[e("MENUCLOSE")+":hover:focus"]="{ outline:none}";var a=!1,s=!1,l=!1;function c(t){l||(u(i,t),l=!0)}function u(t,e){var r=e||document,n=r.createElement("style");n.type="text/css";var o="";for(var i in t)o+=i,o+=" ",o+=t[i],o+="\n";n.innerHTML=o,r.head.appendChild(n)}t.addMenuStyles=function(t){s||(u(o,t),s=!0,c(t))},t.addInfoStyles=function(t){a||(u(r,t),a=!0,c(t))}}(e.CssStyles||(e.CssStyles={}))},2165:function(t,e){Object.defineProperty(e,"__esModule",{value:!0}),e.HtmlAttrs=e.HtmlClasses=void 0;function r(t){return"CtxtMenu_"+t}function n(t){return r(t)}function o(t){return r(t)}e.HtmlClasses={ATTACHED:n("Attached"),CONTEXTMENU:n("ContextMenu"),MENU:n("Menu"),MENUARROW:n("MenuArrow"),MENUACTIVE:n("MenuActive"),MENUCHECK:n("MenuCheck"),MENUCLOSE:n("MenuClose"),MENUCOMBOBOX:n("MenuComboBox"),MENUDISABLED:n("MenuDisabled"),MENUFRAME:n("MenuFrame"),MENUITEM:n("MenuItem"),MENULABEL:n("MenuLabel"),MENURADIOCHECK:n("MenuRadioCheck"),MENUINPUTBOX:n("MenuInputBox"),MENURULE:n("MenuRule"),MENUSLIDER:n("MenuSlider"),MOUSEPOST:n("MousePost"),RTL:n("RTL"),INFO:n("Info"),INFOCLOSE:n("InfoClose"),INFOCONTENT:n("InfoContent"),INFOSIGNATURE:n("InfoSignature"),INFOTITLE:n("InfoTitle"),SLIDERVALUE:n("SliderValue"),SLIDERBAR:n("SliderBar"),SELECTION:n("Selection"),SELECTIONBOX:n("SelectionBox"),SELECTIONMENU:n("SelectionMenu"),SELECTIONDIVIDER:n("SelectionDivider"),SELECTIONITEM:n("SelectionItem")},e.HtmlAttrs={COUNTER:o("Counter"),KEYDOWNFUNC:o("keydownFunc"),CONTEXTMENUFUNC:o("contextmenuFunc"),OLDTAB:o("Oldtabindex"),TOUCHFUNC:o("TouchFunc")}},4922:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)e.hasOwnProperty(r)&&(t[r]=e[r])})(t,e)},function(t,e){function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)});Object.defineProperty(e,"__esModule",{value:!0}),e.Info=void 0;var i=r(5179),a=r(2165),s=function(t){function e(e,r,n){var o=t.call(this)||this;return o.title=e,o.signature=n,o.className=a.HtmlClasses.INFO,o.role="dialog",o.contentDiv=o.generateContent(),o.close=o.generateClose(),o.content=r||function(){return""},o}return o(e,t),e.prototype.attachMenu=function(t){this.menu=t},e.prototype.generateHtml=function(){t.prototype.generateHtml.call(this);var e=this.html;e.appendChild(this.generateTitle()),e.appendChild(this.contentDiv),e.appendChild(this.generateSignature()),e.appendChild(this.close.html),e.setAttribute("tabindex","0")},e.prototype.post=function(){t.prototype.post.call(this);var e=document.documentElement,r=this.html,n=window.innerHeight||e.clientHeight||e.scrollHeight||0,o=Math.floor(-r.offsetWidth/2),i=Math.floor((n-r.offsetHeight)/3);r.setAttribute("style","margin-left: "+o+"px; top: "+i+"px;"),window.event instanceof MouseEvent&&r.classList.add(a.HtmlClasses.MOUSEPOST),r.focus()},e.prototype.display=function(){this.menu.registerWidget(this),this.contentDiv.innerHTML=this.content();var t=this.menu.html;t.parentNode&&t.parentNode.removeChild(t),this.menu.frame.appendChild(this.html)},e.prototype.click=function(t){},e.prototype.keydown=function(e){this.bubbleKey(),t.prototype.keydown.call(this,e)},e.prototype.escape=function(t){this.unpost()},e.prototype.unpost=function(){t.prototype.unpost.call(this),this.html.classList.remove(a.HtmlClasses.MOUSEPOST),this.menu.unregisterWidget(this)},e.prototype.generateClose=function(){var t=new i.CloseButton(this),e=t.html;return e.classList.add(a.HtmlClasses.INFOCLOSE),e.setAttribute("aria-label","Close Dialog Box"),t},e.prototype.generateTitle=function(){var t=document.createElement("span");return t.innerHTML=this.title,t.classList.add(a.HtmlClasses.INFOTITLE),t},e.prototype.generateContent=function(){var t=document.createElement("div");return t.classList.add(a.HtmlClasses.INFOCONTENT),t.setAttribute("tabindex","0"),t},e.prototype.generateSignature=function(){var t=document.createElement("span");return t.innerHTML=this.signature,t.classList.add(a.HtmlClasses.INFOSIGNATURE),t},e.prototype.toJson=function(){return{type:""}},e}(r(8372).AbstractPostable);e.Info=s},1409:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)e.hasOwnProperty(r)&&(t[r]=e[r])})(t,e)},function(t,e){function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)});Object.defineProperty(e,"__esModule",{value:!0}),e.Checkbox=void 0;var i=r(6765),a=r(2556),s=r(2165),l=function(t){function e(e,r,n,o){var i=t.call(this,e,"checkbox",r,o)||this;return i.role="menuitemcheckbox",i.variable=e.pool.lookup(n),i.register(),i}return o(e,t),e.fromJson=function(t,e,r){return new this(r,e.content,e.variable,e.id)},e.prototype.executeAction=function(){this.variable.setValue(!this.variable.getValue()),a.MenuUtil.close(this)},e.prototype.generateSpan=function(){this.span=document.createElement("span"),this.span.textContent="\u2713",this.span.classList.add(s.HtmlClasses.MENUCHECK)},e.prototype.updateAria=function(){this.html.setAttribute("aria-checked",this.variable.getValue()?"true":"false")},e.prototype.updateSpan=function(){this.span.style.display=this.variable.getValue()?"":"none"},e.prototype.toJson=function(){return{type:""}},e}(i.AbstractVariableItem);e.Checkbox=l},9886:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)e.hasOwnProperty(r)&&(t[r]=e[r])})(t,e)},function(t,e){function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)});Object.defineProperty(e,"__esModule",{value:!0}),e.Combo=void 0;var i=r(6765),a=r(2556),s=r(2165),l=r(3205),c=function(t){function e(e,r,n,o){var i=t.call(this,e,"combobox",r,o)||this;return i.role="combobox",i.inputEvent=!1,i.variable=e.pool.lookup(n),i.register(),i}return o(e,t),e.fromJson=function(t,e,r){return new this(r,e.content,e.variable,e.id)},e.prototype.executeAction=function(){this.variable.setValue(this.input.value,a.MenuUtil.getActiveElement(this))},e.prototype.space=function(e){t.prototype.space.call(this,e),a.MenuUtil.close(this)},e.prototype.focus=function(){t.prototype.focus.call(this),this.input.focus()},e.prototype.unfocus=function(){t.prototype.unfocus.call(this),this.updateSpan()},e.prototype.generateHtml=function(){t.prototype.generateHtml.call(this),this.html.classList.add(s.HtmlClasses.MENUCOMBOBOX)},e.prototype.generateSpan=function(){this.span=document.createElement("span"),this.span.classList.add(s.HtmlClasses.MENUINPUTBOX),this.input=document.createElement("input"),this.input.addEventListener("keydown",this.inputKey.bind(this)),this.input.setAttribute("size","10em"),this.input.setAttribute("type","text"),this.input.setAttribute("tabindex","-1"),this.span.appendChild(this.input)},e.prototype.inputKey=function(t){this.bubbleKey(),this.inputEvent=!0},e.prototype.keydown=function(e){if(this.inputEvent&&e.keyCode!==l.KEY.ESCAPE&&e.keyCode!==l.KEY.RETURN)return this.inputEvent=!1,void e.stopPropagation();t.prototype.keydown.call(this,e),e.stopPropagation()},e.prototype.updateAria=function(){},e.prototype.updateSpan=function(){var t;try{t=this.variable.getValue(a.MenuUtil.getActiveElement(this))}catch(e){t=""}this.input.value=t},e.prototype.toJson=function(){return{type:""}},e}(i.AbstractVariableItem);e.Combo=c},3467:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)e.hasOwnProperty(r)&&(t[r]=e[r])})(t,e)},function(t,e){function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)});Object.defineProperty(e,"__esModule",{value:!0}),e.Command=void 0;var i=r(1340),a=r(2556),s=function(t){function e(e,r,n,o){var i=t.call(this,e,"command",r,o)||this;return i.command=n,i}return o(e,t),e.fromJson=function(t,e,r){return new this(r,e.content,e.action,e.id)},e.prototype.executeAction=function(){try{this.command(a.MenuUtil.getActiveElement(this))}catch(t){a.MenuUtil.error(t,"Illegal command callback.")}a.MenuUtil.close(this)},e.prototype.toJson=function(){return{type:""}},e}(i.AbstractItem);e.Command=s},2965:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)e.hasOwnProperty(r)&&(t[r]=e[r])})(t,e)},function(t,e){function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)});Object.defineProperty(e,"__esModule",{value:!0}),e.Label=void 0;var i=r(1340),a=r(2165),s=function(t){function e(e,r,n){return t.call(this,e,"label",r,n)||this}return o(e,t),e.fromJson=function(t,e,r){return new this(r,e.content,e.id)},e.prototype.generateHtml=function(){t.prototype.generateHtml.call(this),this.html.classList.add(a.HtmlClasses.MENULABEL)},e.prototype.toJson=function(){return{type:""}},e}(i.AbstractItem);e.Label=s},385:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)e.hasOwnProperty(r)&&(t[r]=e[r])})(t,e)},function(t,e){function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)});Object.defineProperty(e,"__esModule",{value:!0}),e.Radio=void 0;var i=r(6765),a=r(2556),s=r(2165),l=function(t){function e(e,r,n,o){var i=t.call(this,e,"radio",r,o)||this;return i.role="menuitemradio",i.variable=e.pool.lookup(n),i.register(),i}return o(e,t),e.fromJson=function(t,e,r){return new this(r,e.content,e.variable,e.id)},e.prototype.executeAction=function(){this.variable.setValue(this.id),a.MenuUtil.close(this)},e.prototype.generateSpan=function(){this.span=document.createElement("span"),this.span.textContent="\u2713",this.span.classList.add(s.HtmlClasses.MENURADIOCHECK)},e.prototype.updateAria=function(){this.html.setAttribute("aria-checked",this.variable.getValue()===this.id?"true":"false")},e.prototype.updateSpan=function(){this.span.style.display=this.variable.getValue()===this.id?"":"none"},e.prototype.toJson=function(){return{type:""}},e}(i.AbstractVariableItem);e.Radio=l},3463:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)e.hasOwnProperty(r)&&(t[r]=e[r])})(t,e)},function(t,e){function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)});Object.defineProperty(e,"__esModule",{value:!0}),e.Rule=void 0;var i=r(9329),a=r(2165),s=function(t){function e(e){var r=t.call(this,e,"rule")||this;return r.className=a.HtmlClasses.MENUITEM,r.role="separator",r}return o(e,t),e.fromJson=function(t,e,r){return new this(r)},e.prototype.generateHtml=function(){t.prototype.generateHtml.call(this);var e=this.html;e.classList.add(a.HtmlClasses.MENURULE),e.setAttribute("aria-orientation","vertical")},e.prototype.addEvents=function(t){},e.prototype.toJson=function(){return{type:"rule"}},e}(i.AbstractEntry);e.Rule=s},7625:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)e.hasOwnProperty(r)&&(t[r]=e[r])})(t,e)},function(t,e){function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)});Object.defineProperty(e,"__esModule",{value:!0}),e.Slider=void 0;var i=r(6765),a=r(2556),s=r(2165),l=r(3205),c=function(t){function e(e,r,n,o){var i=t.call(this,e,"slider",r,o)||this;return i.role="slider",i.labelId="ctx_slideLabel"+a.MenuUtil.counter(),i.valueId="ctx_slideValue"+a.MenuUtil.counter(),i.inputEvent=!1,i.variable=e.pool.lookup(n),i.register(),i}return o(e,t),e.fromJson=function(t,e,r){return new this(r,e.content,e.variable,e.id)},e.prototype.executeAction=function(){this.variable.setValue(this.input.value,a.MenuUtil.getActiveElement(this)),this.update()},e.prototype.space=function(e){t.prototype.space.call(this,e),a.MenuUtil.close(this)},e.prototype.focus=function(){t.prototype.focus.call(this),this.input.focus()},e.prototype.unfocus=function(){t.prototype.unfocus.call(this),this.updateSpan()},e.prototype.generateHtml=function(){t.prototype.generateHtml.call(this),this.html.classList.add(s.HtmlClasses.MENUSLIDER),this.valueSpan=document.createElement("span"),this.valueSpan.setAttribute("id",this.valueId),this.valueSpan.classList.add(s.HtmlClasses.SLIDERVALUE),this.html.appendChild(this.valueSpan)},e.prototype.generateSpan=function(){this.span=document.createElement("span"),this.labelSpan=document.createElement("span"),this.labelSpan.setAttribute("id",this.labelId),this.labelSpan.appendChild(this.html.childNodes[0]),this.html.appendChild(this.labelSpan),this.input=document.createElement("input"),this.input.setAttribute("type","range"),this.input.setAttribute("min","0"),this.input.setAttribute("max","100"),this.input.setAttribute("aria-valuemin","0"),this.input.setAttribute("aria-valuemax","100"),this.input.setAttribute("aria-labelledby",this.labelId),this.input.addEventListener("keydown",this.inputKey.bind(this)),this.input.addEventListener("input",this.executeAction.bind(this)),this.input.classList.add(s.HtmlClasses.SLIDERBAR),this.span.appendChild(this.input)},e.prototype.inputKey=function(t){this.inputEvent=!0},e.prototype.mousedown=function(t){t.stopPropagation()},e.prototype.mouseup=function(t){event.stopPropagation()},e.prototype.keydown=function(e){var r=e.keyCode;return r===l.KEY.UP||r===l.KEY.DOWN?(e.preventDefault(),void t.prototype.keydown.call(this,e)):this.inputEvent&&r!==l.KEY.ESCAPE&&r!==l.KEY.RETURN?(this.inputEvent=!1,void e.stopPropagation()):(t.prototype.keydown.call(this,e),void e.stopPropagation())},e.prototype.updateAria=function(){var t=this.variable.getValue();t&&this.input&&(this.input.setAttribute("aria-valuenow",t),this.input.setAttribute("aria-valuetext",t+"%"))},e.prototype.updateSpan=function(){var t;try{t=this.variable.getValue(a.MenuUtil.getActiveElement(this)),this.valueSpan.innerHTML=t+"%"}catch(e){t=""}this.input.value=t},e.prototype.toJson=function(){return{type:""}},e}(i.AbstractVariableItem);e.Slider=c},6186:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)e.hasOwnProperty(r)&&(t[r]=e[r])})(t,e)},function(t,e){function 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t.get("radio")(t,{content:e,variable:i,id:e},a)})),u=[s,l].concat(c);return a.items=u,a},e.prototype.generateHtml=function(){t.prototype.generateHtml.call(this),this.items.forEach((function(t){return t.html.classList.add(s.HtmlClasses.SELECTIONITEM)}))},e.prototype.display=function(){},e.prototype.right=function(t){this.anchor.right(t)},e.prototype.left=function(t){this.anchor.left(t)},e}(l.AbstractMenu);e.SelectionMenu=u;var p=function(t){function e(e,r,n,o){void 0===n&&(n="none"),void 0===o&&(o="vertical");var i=t.call(this,e,null,r)||this;return i.style=n,i.grid=o,i._selections=[],i.prefix="ctxt-selection",i._balanced=!0,i}return o(e,t),e.fromJson=function(t,e,r){var n=e.title,o=e.signature,i=e.selections,a=new this(n,o,e.order,e.grid);a.attachMenu(r);var s=i.map((function(e){return t.get("selectionMenu")(t,e,a)}));return a.selections=s,a},e.prototype.attachMenu=function(t){this.menu=t},Object.defineProperty(e.prototype,"selections",{get:function(){return this._selections},set:function(t){var e=this;this._selections=[],t.forEach((function(t){return e.addSelection(t)}))},enumerable:!1,configurable:!0}),e.prototype.addSelection=function(t){t.anchor=this,this._selections.push(t)},e.prototype.rowDiv=function(t){var e=this,r=document.createElement("div");this.contentDiv.appendChild(r);var n=t.map((function(t){return r.appendChild(t.html),t.html.id||(t.html.id=e.prefix+a.MenuUtil.counter()),t.html.getBoundingClientRect()})),o=n.map((function(t){return t.width})),i=o.reduce((function(t,e){return t+e}),0),l=n.reduce((function(t,e){return Math.max(t,e.height)}),0);return r.classList.add(s.HtmlClasses.SELECTIONDIVIDER),r.setAttribute("style","height: "+l+"px;"),[r,i,l,o]},e.prototype.display=function(){if(t.prototype.display.call(this),this.order(),this.selections.length){for(var e=[],r=0,n=[],o=this.getChunkSize(this.selections.length),a=function(t){var a=s.selections.slice(t,t+o),l=i(s.rowDiv(a),4),c=l[0],u=l[1],p=l[2],h=l[3];e.push(c),r=Math.max(r,u),a.forEach((function(t){return t.html.style.height=p+"px"})),n=s.combineColumn(n,h)},s=this,l=0;l<this.selections.length;l+=o)a(l);this._balanced&&(this.balanceColumn(e,n),r=n.reduce((function(t,e){return t+e}),20)),e.forEach((function(t){return t.style.width=r+"px"}))}},e.prototype.getChunkSize=function(t){switch(this.grid){case"square":return Math.floor(Math.sqrt(t));case"horizontal":return Math.floor(t/e.chunkSize);case"vertical":default:return e.chunkSize}},e.prototype.balanceColumn=function(t,e){t.forEach((function(t){for(var r=Array.from(t.children),n=0,o=void 0;o=r[n];n++)o.style.width=e[n]+"px"}))},e.prototype.combineColumn=function(t,e){for(var r=[],n=0;t[n]||e[n];){if(!t[n]){r=r.concat(e.slice(n));break}if(!e[n]){r=r.concat(t.slice(n));break}r.push(Math.max(t[n],e[n])),n++}return r},e.prototype.left=function(t){var e=this;this.move(t,(function(t){return(0===t?e.selections.length:t)-1}))},e.prototype.right=function(t){var e=this;this.move(t,(function(t){return t===e.selections.length-1?0:t+1}))},e.prototype.generateHtml=function(){t.prototype.generateHtml.call(this),this.html.classList.add(s.HtmlClasses.SELECTION)},e.prototype.generateContent=function(){var e=t.prototype.generateContent.call(this);return e.classList.add(s.HtmlClasses.SELECTIONBOX),e.removeAttribute("tabindex"),e},e.prototype.findSelection=function(t){var e=t.target,r=null;if(e.id&&(r=this.selections.find((function(t){return t.html.id===e.id}))),!r){var n=e.parentElement.id;r=this.selections.find((function(t){return t.html.id===n}))}return r},e.prototype.move=function(t,e){var r=this.findSelection(t);r.focused&&r.focused.unfocus();var n=e(this.selections.indexOf(r));this.selections[n].focus()},e.prototype.order=function(){this.selections.sort(e.orderMethod.get(this.style))},e.prototype.toJson=function(){return{type:""}},e.chunkSize=4,e.orderMethod=new Map([["alphabetical",function(t,e){return t.items[0].content.localeCompare(e.items[0].content)}],["none",function(t,e){return 1}],["decreasing",function(t,e){var r=t.items.length,n=e.items.length;return r<n?1:n<r?-1:0}],["increasing",function(t,e){var r=t.items.length,n=e.items.length;return r<n?-1:n<r?1:0}]]),e}(c.Info);e.SelectionBox=p},4834:function(t,e,r){var n,o=this&&this.__extends||(n=function(t,e){return(n=Object.setPrototypeOf||{__proto__:[]}instanceof Array&&function(t,e){t.__proto__=e}||function(t,e){for(var r in e)e.hasOwnProperty(r)&&(t[r]=e[r])})(t,e)},function(t,e){function r(){this.constructor=t}n(t,e),t.prototype=null===e?Object.create(e):(r.prototype=e.prototype,new r)});Object.defineProperty(e,"__esModule",{value:!0}),e.SubMenu=void 0;var i=function(t){function e(e){var r=t.call(this)||this;return r._anchor=e,r.variablePool=r.anchor.menu.pool,r.setBaseMenu(),r}return o(e,t),e.fromJson=function(t,e,r){var n=e.items,o=new this(r),i=t.get("items")(t,n,o);return o.items=i,o},Object.defineProperty(e.prototype,"anchor",{get:function(){return this._anchor},enumerable:!1,configurable:!0}),e.prototype.post=function(){if(this.anchor.menu.isPosted()){for(var e=this.anchor.html,r=this.html,n=this.baseMenu.frame,o=e.offsetWidth,i=o-2,a=0;e&&e!==n;)i+=e.offsetLeft,a+=e.offsetTop,e=e.parentNode;i+r.offsetWidth>document.body.offsetWidth-5&&(i=Math.max(5,i-o-r.offsetWidth+6)),t.prototype.post.call(this,i,a)}},e.prototype.display=function(){this.baseMenu.frame.appendChild(this.html)},e.prototype.setBaseMenu=function(){var t=this;do{t=t.anchor.menu}while(t instanceof 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