diff --git a/src/main/java/com/fasterxml/jackson/core/io/schubfach/DoubleToDecimal.java b/src/main/java/com/fasterxml/jackson/core/io/schubfach/DoubleToDecimal.java index 2b7778a316..6d3f58d503 100644 --- a/src/main/java/com/fasterxml/jackson/core/io/schubfach/DoubleToDecimal.java +++ b/src/main/java/com/fasterxml/jackson/core/io/schubfach/DoubleToDecimal.java @@ -1,252 +1,132 @@ /* - * Copyright 2018-2020 Raffaello Giulietti + * Copyright (c) 2021, 2022, Oracle and/or its affiliates. All rights reserved. + * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. * - * Permission is hereby granted, free of charge, to any person obtaining a copy - * of this software and associated documentation files (the "Software"), to deal - * in the Software without restriction, including without limitation the rights - * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell - * copies of the Software, and to permit persons to whom the Software is - * furnished to do so, subject to the following conditions: + * This code is free software; you can redistribute it and/or modify it + * under the terms of the GNU General Public License version 2 only, as + * published by the Free Software Foundation. Oracle designates this + * particular file as subject to the "Classpath" exception as provided + * by Oracle in the LICENSE file that accompanied this code. * - * The above copyright notice and this permission notice shall be included in - * all copies or substantial portions of the Software. + * This code is distributed in the hope that it will be useful, but WITHOUT + * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or + * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License + * version 2 for more details (a copy is included in the LICENSE file that + * accompanied this code). * - * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR - * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, - * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE - * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER - * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, - * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN - * THE SOFTWARE. + * You should have received a copy of the GNU General Public License version + * 2 along with this work; if not, write to the Free Software Foundation, + * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA. + * + * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA + * or visit www.oracle.com if you need additional information or have any + * questions. */ package com.fasterxml.jackson.core.io.schubfach; import java.io.IOException; -import static com.fasterxml.jackson.core.io.schubfach.MathUtils.flog10pow2; -import static com.fasterxml.jackson.core.io.schubfach.MathUtils.flog10threeQuartersPow2; -import static com.fasterxml.jackson.core.io.schubfach.MathUtils.flog2pow10; -import static com.fasterxml.jackson.core.io.schubfach.MathUtils.g0; -import static com.fasterxml.jackson.core.io.schubfach.MathUtils.g1; -import static com.fasterxml.jackson.core.io.schubfach.MathUtils.multiplyHigh; -import static com.fasterxml.jackson.core.io.schubfach.MathUtils.pow10; -import static java.lang.Double.doubleToRawLongBits; -import static java.lang.Long.numberOfLeadingZeros; +import static java.lang.Double.*; +import static java.lang.Long.*; +import static com.fasterxml.jackson.core.io.schubfach.MathUtils.*; /** * This class exposes a method to render a {@code double} as a string. - * - * @author Raffaello Giulietti */ final public class DoubleToDecimal { /* - For full details about this code see the following references: - - [1] Giulietti, "The Schubfach way to render doubles", - https://drive.google.com/open?id=1luHhyQF9zKlM8yJ1nebU0OgVYhfC6CBN - - [2] IEEE Computer Society, "IEEE Standard for Floating-Point Arithmetic" - - [3] Bouvier & Zimmermann, "Division-Free Binary-to-Decimal Conversion" - - Divisions are avoided altogether for the benefit of those architectures - that do not provide specific machine instructions or where they are slow. - This is discussed in section 10 of [1]. + * For full details about this code see the following references: + * + * [1] Giulietti, "The Schubfach way to render doubles", + * https://drive.google.com/file/d/1gp5xv4CAa78SVgCeWfGqqI4FfYYYuNFb + * + * [2] IEEE Computer Society, "IEEE Standard for Floating-Point Arithmetic" + * + * [3] Bouvier & Zimmermann, "Division-Free Binary-to-Decimal Conversion" + * + * Divisions are avoided altogether for the benefit of those architectures + * that do not provide specific machine instructions or where they are slow. + * This is discussed in section 10 of [1]. */ - // Sources with the license are here: https://github.com/c4f7fcce9cb06515/Schubfach/blob/3c92d3c9b1fead540616c918cdfef432bca53dfa/todec/src/math/FloatToDecimal.java - - // The precision in bits. + /* The precision in bits */ static final int P = 53; - // Exponent width in bits. + /* Exponent width in bits */ private static final int W = (Double.SIZE - 1) - (P - 1); - // Minimum value of the exponent: -(2^(W-1)) - P + 3. - static final int Q_MIN = (-1 << W - 1) - P + 3; + /* Minimum value of the exponent: -(2^(W-1)) - P + 3 */ + static final int Q_MIN = (-1 << (W - 1)) - P + 3; - // Maximum value of the exponent: 2^(W-1) - P. - static final int Q_MAX = (1 << W - 1) - P; + /* Maximum value of the exponent: 2^(W-1) - P */ + static final int Q_MAX = (1 << (W - 1)) - P; - // 10^(E_MIN - 1) <= MIN_VALUE < 10^E_MIN + /* 10^(E_MIN - 1) <= MIN_VALUE < 10^E_MIN */ static final int E_MIN = -323; - // 10^(E_MAX - 1) <= MAX_VALUE < 10^E_MAX + /* 10^(E_MAX - 1) <= MAX_VALUE < 10^E_MAX */ static final int E_MAX = 309; - // Threshold to detect tiny values, as in section 8.1.1 of [1] + /* Threshold to detect tiny values, as in section 8.2.1 of [1] */ static final long C_TINY = 3; - // The minimum and maximum k, as in section 8 of [1] + /* The minimum and maximum k, as in section 8 of [1] */ static final int K_MIN = -324; static final int K_MAX = 292; - // H is as in section 8 of [1]. + /* H is as in section 8.1 of [1] */ static final int H = 17; - // Minimum value of the significand of a normal value: 2^(P-1). - private static final long C_MIN = 1L << P - 1; + /* Minimum value of the significand of a normal value: 2^(P-1) */ + private static final long C_MIN = 1L << (P - 1); - // Mask to extract the biased exponent. + /* Mask to extract the biased exponent */ private static final int BQ_MASK = (1 << W) - 1; - // Mask to extract the fraction bits. - private static final long T_MASK = (1L << P - 1) - 1; + /* Mask to extract the fraction bits */ + private static final long T_MASK = (1L << (P - 1)) - 1; - // Used in rop(). + /* Used in rop() */ private static final long MASK_63 = (1L << 63) - 1; - // Used for left-to-tight digit extraction. + /* Used for left-to-tight digit extraction */ private static final int MASK_28 = (1 << 28) - 1; - private static final int NON_SPECIAL = 0; - private static final int PLUS_ZERO = 1; - private static final int MINUS_ZERO = 2; - private static final int PLUS_INF = 3; - private static final int MINUS_INF = 4; - private static final int NAN = 5; - - // For thread-safety, each thread gets its own instance of this class. - private static final ThreadLocal threadLocal = - ThreadLocal.withInitial(DoubleToDecimal::new); + private static final int NON_SPECIAL = 0; + private static final int PLUS_ZERO = 1; + private static final int MINUS_ZERO = 2; + private static final int PLUS_INF = 3; + private static final int MINUS_INF = 4; + private static final int NAN = 5; /* - Room for the longer of the forms - -ddddd.dddddddddddd H + 2 characters - -0.00ddddddddddddddddd H + 5 characters - -d.ddddddddddddddddE-eee H + 7 characters - where there are H digits d + * Room for the longer of the forms + * -ddddd.dddddddddddd H + 2 characters + * -0.00ddddddddddddddddd H + 5 characters + * -d.ddddddddddddddddE-eee H + 7 characters + * where there are H digits d */ - public final int MAX_CHARS = H + 7; + public static final int MAX_CHARS = H + 7; - // Numerical results are created here... private final byte[] bytes = new byte[MAX_CHARS]; - // ... and copied here in appendTo() - private final char[] chars = new char[MAX_CHARS]; - - // Index into bytes of rightmost valid character. + /* Index into bytes of rightmost valid character */ private int index; private DoubleToDecimal() { } /** - * Returns a string rendering of the {@code double} argument. + * Returns a string representation of the {@code double} + * argument. All characters mentioned below are ASCII characters. * - *

The characters of the result are all drawn from the ASCII set. - *

- * - *

A decimal is a number of the form - * d×10i - * for some (unique) integers d > 0 and i such that - * d is not a multiple of 10. - * These integers are the significand and - * the exponent, respectively, of the decimal. - * The length of the decimal is the (unique) - * integer n meeting - * 10n-1 ≤ d < 10n. - * - *

The decimal dv - * for a finite positive {@code v} is defined as follows: - *

- * - *

The (uniquely) selected decimal dv - * is then formatted. - * - *

Let d, i and n be the significand, exponent and - * length of dv, respectively. - * Further, let e = n + i - 1 and let - * d1…dn - * be the usual decimal expansion of the significand. - * Note that d1 ≠ 0 ≠ dn. - *

- * - * @param v the {@code double} to be rendered. - * @return a string rendering of the argument. + * @param v the {@code double} to be converted. + * @return a string representation of the argument. + * @see Double#toString(double) */ public static String toString(double v) { - return threadLocalInstance().toDecimalString(v); + return new DoubleToDecimal().toDecimalString(v); } /** @@ -262,11 +142,7 @@ public static String toString(double v) { */ public static Appendable appendTo(double v, Appendable app) throws IOException { - return threadLocalInstance().appendDecimalTo(v, app); - } - - private static DoubleToDecimal threadLocalInstance() { - return threadLocal.get(); + return new DoubleToDecimal().appendDecimalTo(v, app); } private String toDecimalString(double v) { @@ -284,17 +160,18 @@ private Appendable appendDecimalTo(double v, Appendable app) throws IOException { switch (toDecimal(v)) { case NON_SPECIAL: - for (int i = 0; i <= index; ++i) { + char[] chars = new char[index + 1]; + for (int i = 0; i < chars.length; ++i) { chars[i] = (char) bytes[i]; } if (app instanceof StringBuilder) { - return ((StringBuilder) app).append(chars, 0, index + 1); + return ((StringBuilder) app).append(chars); } if (app instanceof StringBuffer) { - return ((StringBuffer) app).append(chars, 0, index + 1); + return ((StringBuffer) app).append(chars); } - for (int i = 0; i <= index; ++i) { - app.append(chars[i]); + for (char c : chars) { + app.append(c); } return app; case PLUS_ZERO: return app.append("0.0"); @@ -306,22 +183,22 @@ private Appendable appendDecimalTo(double v, Appendable app) } /* - Returns - PLUS_ZERO iff v is 0.0 - MINUS_ZERO iff v is -0.0 - PLUS_INF iff v is POSITIVE_INFINITY - MINUS_INF iff v is NEGATIVE_INFINITY - NAN iff v is NaN + * Returns + * PLUS_ZERO iff v is 0.0 + * MINUS_ZERO iff v is -0.0 + * PLUS_INF iff v is POSITIVE_INFINITY + * MINUS_INF iff v is NEGATIVE_INFINITY + * NAN iff v is NaN */ private int toDecimal(double v) { /* - For full details see references [2] and [1]. - - For finite v != 0, determine integers c and q such that - |v| = c 2^q and - Q_MIN <= q <= Q_MAX and - either 2^(P-1) <= c < 2^P (normal) - or 0 < c < 2^(P-1) and q = Q_MIN (subnormal) + * For full details see references [2] and [1]. + * + * For finite v != 0, determine integers c and q such that + * |v| = c 2^q and + * Q_MIN <= q <= Q_MAX and + * either 2^(P-1) <= c < 2^P (normal) + * or 0 < c < 2^(P-1) and q = Q_MIN (subnormal) */ long bits = doubleToRawLongBits(v); long t = bits & T_MASK; @@ -332,10 +209,10 @@ private int toDecimal(double v) { append('-'); } if (bq != 0) { - // normal value. Here mq = -q + /* normal value. Here mq = -q */ int mq = -Q_MIN + 1 - bq; long c = C_MIN | t; - // The fast path discussed in section 8.2 of [1]. + /* The fast path discussed in section 8.3 of [1] */ if (0 < mq & mq < P) { long f = c >> mq; if (f << mq == c) { @@ -345,7 +222,7 @@ private int toDecimal(double v) { return toDecimal(-mq, c, 0); } if (t != 0) { - // subnormal value + /* subnormal value */ return t < C_TINY ? toDecimal(Q_MIN, 10 * t, -1) : toDecimal(Q_MIN, t, 0); @@ -360,21 +237,21 @@ private int toDecimal(double v) { private int toDecimal(int q, long c, int dk) { /* - The skeleton corresponds to figure 4 of [1]. - The efficient computations are those summarized in figure 7. - - Here's a correspondence between Java names and names in [1], - expressed as approximate LaTeX source code and informally. - Other names are identical. - cb: \bar{c} "c-bar" - cbr: \bar{c}_r "c-bar-r" - cbl: \bar{c}_l "c-bar-l" - - vb: \bar{v} "v-bar" - vbr: \bar{v}_r "v-bar-r" - vbl: \bar{v}_l "v-bar-l" - - rop: r_o' "r-o-prime" + * The skeleton corresponds to figure 7 of [1]. + * The efficient computations are those summarized in figure 9. + * + * Here's a correspondence between Java names and names in [1], + * expressed as approximate LaTeX source code and informally. + * Other names are identical. + * cb: \bar{c} "c-bar" + * cbr: \bar{c}_r "c-bar-r" + * cbl: \bar{c}_l "c-bar-l" + * + * vb: \bar{v} "v-bar" + * vbr: \bar{v}_r "v-bar-r" + * vbl: \bar{v}_l "v-bar-l" + * + * rop: r_o' "r-o-prime" */ int out = (int) c & 0x1; long cb = c << 2; @@ -382,22 +259,22 @@ private int toDecimal(int q, long c, int dk) { long cbl; int k; /* - flog10pow2(e) = floor(log_10(2^e)) - flog10threeQuartersPow2(e) = floor(log_10(3/4 2^e)) - flog2pow10(e) = floor(log_2(10^e)) + * flog10pow2(e) = floor(log_10(2^e)) + * flog10threeQuartersPow2(e) = floor(log_10(3/4 2^e)) + * flog2pow10(e) = floor(log_2(10^e)) */ if (c != C_MIN | q == Q_MIN) { - // regular spacing + /* regular spacing */ cbl = cb - 2; k = flog10pow2(q); } else { - // irregular spacing + /* irregular spacing */ cbl = cb - 1; k = flog10threeQuartersPow2(q); } int h = q + flog2pow10(-k) + 2; - // g1 and g0 are as in section 9.9.3 of [1], so g = g1 2^63 + g0 + /* g1 and g0 are as in section 9.8.3 of [1], so g = g1 2^63 + g0 */ long g1 = g1(k); long g0 = g0(k); @@ -408,15 +285,15 @@ private int toDecimal(int q, long c, int dk) { long s = vb >> 2; if (s >= 100) { /* - For n = 17, m = 1 the table in section 10 of [1] shows - s' = floor(s / 10) = floor(s 115_292_150_460_684_698 / 2^60) - = floor(s 115_292_150_460_684_698 2^4 / 2^64) - - sp10 = 10 s' - tp10 = 10 t' - upin iff u' = sp10 10^k in Rv - wpin iff w' = tp10 10^k in Rv - See section 9.4 of [1]. + * For n = 17, m = 1 the table in section 10 of [1] shows + * s' = floor(s / 10) = floor(s 115_292_150_460_684_698 / 2^60) + * = floor(s 115_292_150_460_684_698 2^4 / 2^64) + * + * sp10 = 10 s' + * tp10 = 10 t' + * upin iff u' = sp10 10^k in Rv + * wpin iff w' = tp10 10^k in Rv + * See section 9.3 of [1]. */ long sp10 = 10 * multiplyHigh(s, 115_292_150_460_684_698L << 4); long tp10 = sp10 + 10; @@ -428,29 +305,29 @@ private int toDecimal(int q, long c, int dk) { } /* - 10 <= s < 100 or s >= 100 and u', w' not in Rv - uin iff u = s 10^k in Rv - win iff w = t 10^k in Rv - See section 9.4 of [1]. + * 10 <= s < 100 or s >= 100 and u', w' not in Rv + * uin iff u = s 10^k in Rv + * win iff w = t 10^k in Rv + * See section 9.3 of [1]. */ long t = s + 1; boolean uin = vbl + out <= s << 2; boolean win = (t << 2) + out <= vbr; if (uin != win) { - // Exactly one of u or w lies in Rv. + /* Exactly one of u or w lies in Rv */ return toChars(uin ? s : t, k + dk); } /* - Both u and w lie in Rv: determine the one closest to v. - See section 9.4 of [1]. + * Both u and w lie in Rv: determine the one closest to v. + * See section 9.3 of [1]. */ long cmp = vb - (s + t << 1); return toChars(cmp < 0 || cmp == 0 && (s & 0x1) == 0 ? s : t, k + dk); } /* - Computes rop(cp g 2^(-127)), where g = g1 2^63 + g0 - See section 9.10 and figure 5 of [1]. + * Computes rop(cp g 2^(-127)), where g = g1 2^63 + g0 + * See section 9.9 and figure 8 of [1]. */ private static long rop(long g1, long g0, long cp) { long x1 = multiplyHigh(g0, cp); @@ -462,14 +339,14 @@ private static long rop(long g1, long g0, long cp) { } /* - Formats the decimal f 10^e. + * Formats the decimal f 10^e. */ private int toChars(long f, int e) { /* - For details not discussed here see section 10 of [1]. - - Determine len such that - 10^(len-1) <= f < 10^len + * For details not discussed here see section 10 of [1]. + * + * Determine len such that + * 10^(len-1) <= f < 10^len */ int len = flog10pow2(Long.SIZE - numberOfLeadingZeros(f)); if (f >= pow10(len)) { @@ -477,27 +354,27 @@ private int toChars(long f, int e) { } /* - Let fp and ep be the original f and e, respectively. - Transform f and e to ensure - 10^(H-1) <= f < 10^H - fp 10^ep = f 10^(e-H) = 0.f 10^e + * Let fp and ep be the original f and e, respectively. + * Transform f and e to ensure + * 10^(H-1) <= f < 10^H + * fp 10^ep = f 10^(e-H) = 0.f 10^e */ f *= pow10(H - len); e += len; /* - The toChars?() methods perform left-to-right digits extraction - using ints, provided that the arguments are limited to 8 digits. - Therefore, split the H = 17 digits of f into: - h = the most significant digit of f - m = the next 8 most significant digits of f - l = the last 8, least significant digits of f - - For n = 17, m = 8 the table in section 10 of [1] shows - floor(f / 10^8) = floor(193_428_131_138_340_668 f / 2^84) = - floor(floor(193_428_131_138_340_668 f / 2^64) / 2^20) - and for n = 9, m = 8 - floor(hm / 10^8) = floor(1_441_151_881 hm / 2^57) + * The toChars?() methods perform left-to-right digits extraction + * using ints, provided that the arguments are limited to 8 digits. + * Therefore, split the H = 17 digits of f into: + * h = the most significant digit of f + * m = the next 8 most significant digits of f + * l = the last 8, least significant digits of f + * + * For n = 17, m = 8 the table in section 10 of [1] shows + * floor(f / 10^8) = floor(193_428_131_138_340_668 f / 2^84) = + * floor(floor(193_428_131_138_340_668 f / 2^64) / 2^20) + * and for n = 9, m = 8 + * floor(hm / 10^8) = floor(1_441_151_881 hm / 2^57) */ long hm = multiplyHigh(f, 193_428_131_138_340_668L) >>> 20; int l = (int) (f - 100_000_000L * hm); @@ -515,9 +392,9 @@ private int toChars(long f, int e) { private int toChars1(int h, int m, int l, int e) { /* - 0 < e <= 7: plain format without leading zeroes. - Left-to-right digits extraction: - algorithm 1 in [3], with b = 10, k = 8, n = 28. + * 0 < e <= 7: plain format without leading zeroes. + * Left-to-right digits extraction: + * algorithm 1 in [3], with b = 10, k = 8, n = 28. */ appendDigit(h); int y = y(m); @@ -539,7 +416,7 @@ private int toChars1(int h, int m, int l, int e) { } private int toChars2(int h, int m, int l, int e) { - // -3 < e <= 0: plain format with leading zeroes. + /* -3 < e <= 0: plain format with leading zeroes */ appendDigit(0); append('.'); for (; e < 0; ++e) { @@ -552,7 +429,7 @@ private int toChars2(int h, int m, int l, int e) { } private int toChars3(int h, int m, int l, int e) { - // -3 >= e | e > 7: computerized scientific notation + /* -3 >= e | e > 7: computerized scientific notation */ appendDigit(h); append('.'); append8Digits(m); @@ -570,8 +447,8 @@ private void lowDigits(int l) { private void append8Digits(int m) { /* - Left-to-right digits extraction: - algorithm 1 in [3], with b = 10, k = 8, n = 28. + * Left-to-right digits extraction: + * algorithm 1 in [3], with b = 10, k = 8, n = 28. */ int y = y(m); for (int i = 0; i < 8; ++i) { @@ -585,7 +462,7 @@ private void removeTrailingZeroes() { while (bytes[index] == '0') { --index; } - // ... but do not remove the one directly to the right of '.' + /* ... but do not remove the one directly to the right of '.' */ if (bytes[index] == '.') { ++index; } @@ -593,12 +470,12 @@ private void removeTrailingZeroes() { private int y(int a) { /* - Algorithm 1 in [3] needs computation of - floor((a + 1) 2^n / b^k) - 1 - with a < 10^8, b = 10, k = 8, n = 28. - Noting that - (a + 1) 2^n <= 10^8 2^28 < 10^17 - For n = 17, m = 8 the table in section 10 of [1] leads to: + * Algorithm 1 in [3] needs computation of + * floor((a + 1) 2^n / b^k) - 1 + * with a < 10^8, b = 10, k = 8, n = 28. + * Noting that + * (a + 1) 2^n <= 10^8 2^28 < 10^17 + * For n = 17, m = 8 the table in section 10 of [1] leads to: */ return (int) (multiplyHigh( (long) (a + 1) << 28, @@ -618,16 +495,16 @@ private void exponent(int e) { int d; if (e >= 100) { /* - For n = 3, m = 2 the table in section 10 of [1] shows - floor(e / 100) = floor(1_311 e / 2^17) + * For n = 3, m = 2 the table in section 10 of [1] shows + * floor(e / 100) = floor(1_311 e / 2^17) */ d = e * 1_311 >>> 17; appendDigit(d); e -= 100 * d; } /* - For n = 2, m = 1 the table in section 10 of [1] shows - floor(e / 10) = floor(103 e / 2^10) + * For n = 2, m = 1 the table in section 10 of [1] shows + * floor(e / 10) = floor(103 e / 2^10) */ d = e * 103 >>> 10; appendDigit(d); @@ -642,7 +519,7 @@ private void appendDigit(int d) { bytes[++index] = (byte) ('0' + d); } - // Using the deprecated constructor enhances performance. + /* Using the deprecated constructor enhances performance */ @SuppressWarnings("deprecation") private String charsToString() { return new String(bytes, 0, 0, index + 1); diff --git a/src/main/java/com/fasterxml/jackson/core/io/schubfach/FloatToDecimal.java b/src/main/java/com/fasterxml/jackson/core/io/schubfach/FloatToDecimal.java index 9ce9cc2b34..1cd886d23d 100644 --- a/src/main/java/com/fasterxml/jackson/core/io/schubfach/FloatToDecimal.java +++ b/src/main/java/com/fasterxml/jackson/core/io/schubfach/FloatToDecimal.java @@ -1,251 +1,132 @@ /* - * Copyright 2018-2020 Raffaello Giulietti + * Copyright (c) 2021, 2022, Oracle and/or its affiliates. All rights reserved. + * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. * - * Permission is hereby granted, free of charge, to any person obtaining a copy - * of this software and associated documentation files (the "Software"), to deal - * in the Software without restriction, including without limitation the rights - * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell - * copies of the Software, and to permit persons to whom the Software is - * furnished to do so, subject to the following conditions: + * This code is free software; you can redistribute it and/or modify it + * under the terms of the GNU General Public License version 2 only, as + * published by the Free Software Foundation. Oracle designates this + * particular file as subject to the "Classpath" exception as provided + * by Oracle in the LICENSE file that accompanied this code. * - * The above copyright notice and this permission notice shall be included in - * all copies or substantial portions of the Software. + * This code is distributed in the hope that it will be useful, but WITHOUT + * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or + * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License + * version 2 for more details (a copy is included in the LICENSE file that + * accompanied this code). * - * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR - * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, - * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE - * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER - * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, - * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN - * THE SOFTWARE. + * You should have received a copy of the GNU General Public License version + * 2 along with this work; if not, write to the Free Software Foundation, + * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA. + * + * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA + * or visit www.oracle.com if you need additional information or have any + * questions. */ package com.fasterxml.jackson.core.io.schubfach; import java.io.IOException; -import static com.fasterxml.jackson.core.io.schubfach.MathUtils.flog10pow2; -import static com.fasterxml.jackson.core.io.schubfach.MathUtils.flog10threeQuartersPow2; -import static com.fasterxml.jackson.core.io.schubfach.MathUtils.flog2pow10; -import static com.fasterxml.jackson.core.io.schubfach.MathUtils.g1; -import static com.fasterxml.jackson.core.io.schubfach.MathUtils.multiplyHigh; -import static com.fasterxml.jackson.core.io.schubfach.MathUtils.pow10; -import static java.lang.Float.floatToRawIntBits; -import static java.lang.Integer.numberOfLeadingZeros; +import static java.lang.Float.*; +import static java.lang.Integer.*; +import static com.fasterxml.jackson.core.io.schubfach.MathUtils.*; /** * This class exposes a method to render a {@code float} as a string. - * - * @author Raffaello Giulietti */ final public class FloatToDecimal { /* - For full details about this code see the following references: - - [1] Giulietti, "The Schubfach way to render doubles", - https://drive.google.com/open?id=1luHhyQF9zKlM8yJ1nebU0OgVYhfC6CBN - - [2] IEEE Computer Society, "IEEE Standard for Floating-Point Arithmetic" - - [3] Bouvier & Zimmermann, "Division-Free Binary-to-Decimal Conversion" - - Divisions are avoided altogether for the benefit of those architectures - that do not provide specific machine instructions or where they are slow. - This is discussed in section 10 of [1]. + * For full details about this code see the following references: + * + * [1] Giulietti, "The Schubfach way to render doubles", + * https://drive.google.com/file/d/1gp5xv4CAa78SVgCeWfGqqI4FfYYYuNFb + * + * [2] IEEE Computer Society, "IEEE Standard for Floating-Point Arithmetic" + * + * [3] Bouvier & Zimmermann, "Division-Free Binary-to-Decimal Conversion" + * + * Divisions are avoided altogether for the benefit of those architectures + * that do not provide specific machine instructions or where they are slow. + * This is discussed in section 10 of [1]. */ - // Sources with the license are here: https://github.com/c4f7fcce9cb06515/Schubfach/blob/3c92d3c9b1fead540616c918cdfef432bca53dfa/todec/src/math/FloatToDecimal.java - - // The precision in bits. + /* The precision in bits */ static final int P = 24; - // Exponent width in bits. + /* Exponent width in bits */ private static final int W = (Float.SIZE - 1) - (P - 1); - // Minimum value of the exponent: -(2^(W-1)) - P + 3. - static final int Q_MIN = (-1 << W - 1) - P + 3; + /* Minimum value of the exponent: -(2^(W-1)) - P + 3 */ + static final int Q_MIN = (-1 << (W - 1)) - P + 3; - // Maximum value of the exponent: 2^(W-1) - P. - static final int Q_MAX = (1 << W - 1) - P; + /* Maximum value of the exponent: 2^(W-1) - P */ + static final int Q_MAX = (1 << (W - 1)) - P; - // 10^(E_MIN - 1) <= MIN_VALUE < 10^E_MIN + /* 10^(E_MIN - 1) <= MIN_VALUE < 10^E_MIN */ static final int E_MIN = -44; - // 10^(E_MAX - 1) <= MAX_VALUE < 10^E_MAX + /* 10^(E_MAX - 1) <= MAX_VALUE < 10^E_MAX */ static final int E_MAX = 39; - // Threshold to detect tiny values, as in section 8.1.1 of [1] + /* Threshold to detect tiny values, as in section 8.2.1 of [1] */ static final int C_TINY = 8; - // The minimum and maximum k, as in section 8 of [1] + /* The minimum and maximum k, as in section 8 of [1] */ static final int K_MIN = -45; static final int K_MAX = 31; - // H is as in section 8 of [1]. + /* H is as in section 8.1 of [1] */ static final int H = 9; - // Minimum value of the significand of a normal value: 2^(P-1). - private static final int C_MIN = 1 << P - 1; + /* Minimum value of the significand of a normal value: 2^(P-1) */ + private static final int C_MIN = 1 << (P - 1); - // Mask to extract the biased exponent. + /* Mask to extract the biased exponent */ private static final int BQ_MASK = (1 << W) - 1; - // Mask to extract the fraction bits. - private static final int T_MASK = (1 << P - 1) - 1; + /* Mask to extract the fraction bits */ + private static final int T_MASK = (1 << (P - 1)) - 1; - // Used in rop(). + /* Used in rop() */ private static final long MASK_32 = (1L << 32) - 1; - // Used for left-to-tight digit extraction. + /* Used for left-to-tight digit extraction */ private static final int MASK_28 = (1 << 28) - 1; - private static final int NON_SPECIAL = 0; - private static final int PLUS_ZERO = 1; - private static final int MINUS_ZERO = 2; - private static final int PLUS_INF = 3; - private static final int MINUS_INF = 4; - private static final int NAN = 5; - - // For thread-safety, each thread gets its own instance of this class. - private static final ThreadLocal threadLocal = - ThreadLocal.withInitial(FloatToDecimal::new); + private static final int NON_SPECIAL = 0; + private static final int PLUS_ZERO = 1; + private static final int MINUS_ZERO = 2; + private static final int PLUS_INF = 3; + private static final int MINUS_INF = 4; + private static final int NAN = 5; /* - Room for the longer of the forms - -ddddd.dddd H + 2 characters - -0.00ddddddddd H + 5 characters - -d.ddddddddE-ee H + 6 characters - where there are H digits d + * Room for the longer of the forms + * -ddddd.dddd H + 2 characters + * -0.00ddddddddd H + 5 characters + * -d.ddddddddE-ee H + 6 characters + * where there are H digits d */ - public final int MAX_CHARS = H + 6; + public static final int MAX_CHARS = H + 6; - // Numerical results are created here... private final byte[] bytes = new byte[MAX_CHARS]; - // ... and copied here in appendTo() - private final char[] chars = new char[MAX_CHARS]; - - // Index into buf of rightmost valid character. + /* Index into bytes of rightmost valid character */ private int index; private FloatToDecimal() { } /** - * Returns a string rendering of the {@code float} argument. - * - *

The characters of the result are all drawn from the ASCII set. - *

- * - *

A decimal is a number of the form - * d×10i - * for some (unique) integers d > 0 and i such that - * d is not a multiple of 10. - * These integers are the significand and - * the exponent, respectively, of the decimal. - * The length of the decimal is the (unique) - * integer n meeting - * 10n-1 ≤ d < 10n. - * - *

The decimal dv - * for a finite positive {@code v} is defined as follows: - *

- * - *

The (uniquely) selected decimal dv - * is then formatted. - * - *

Let d, i and n be the significand, exponent and - * length of dv, respectively. - * Further, let e = n + i - 1 and let - * d1…dn - * be the usual decimal expansion of the significand. - * Note that d1 ≠ 0 ≠ dn. - *

+ * Returns a string representation of the {@code float} + * argument. All characters mentioned below are ASCII characters. * - * @param v the {@code float} to be rendered. - * @return a string rendering of the argument. + * @param v the {@code float} to be converted. + * @return a string representation of the argument. + * @see Float#toString(float) */ public static String toString(float v) { - return threadLocalInstance().toDecimalString(v); + return new FloatToDecimal().toDecimalString(v); } /** @@ -261,11 +142,7 @@ public static String toString(float v) { */ public static Appendable appendTo(float v, Appendable app) throws IOException { - return threadLocalInstance().appendDecimalTo(v, app); - } - - private static FloatToDecimal threadLocalInstance() { - return threadLocal.get(); + return new FloatToDecimal().appendDecimalTo(v, app); } private String toDecimalString(float v) { @@ -283,17 +160,18 @@ private Appendable appendDecimalTo(float v, Appendable app) throws IOException { switch (toDecimal(v)) { case NON_SPECIAL: - for (int i = 0; i <= index; ++i) { + char[] chars = new char[index + 1]; + for (int i = 0; i < chars.length; ++i) { chars[i] = (char) bytes[i]; } if (app instanceof StringBuilder) { - return ((StringBuilder) app).append(chars, 0, index + 1); + return ((StringBuilder) app).append(chars); } if (app instanceof StringBuffer) { - return ((StringBuffer) app).append(chars, 0, index + 1); + return ((StringBuffer) app).append(chars); } - for (int i = 0; i <= index; ++i) { - app.append(chars[i]); + for (char c : chars) { + app.append(c); } return app; case PLUS_ZERO: return app.append("0.0"); @@ -305,22 +183,22 @@ private Appendable appendDecimalTo(float v, Appendable app) } /* - Returns - PLUS_ZERO iff v is 0.0 - MINUS_ZERO iff v is -0.0 - PLUS_INF iff v is POSITIVE_INFINITY - MINUS_INF iff v is NEGATIVE_INFINITY - NAN iff v is NaN + * Returns + * PLUS_ZERO iff v is 0.0 + * MINUS_ZERO iff v is -0.0 + * PLUS_INF iff v is POSITIVE_INFINITY + * MINUS_INF iff v is NEGATIVE_INFINITY + * NAN iff v is NaN */ private int toDecimal(float v) { /* - For full details see references [2] and [1]. - - For finite v != 0, determine integers c and q such that - |v| = c 2^q and - Q_MIN <= q <= Q_MAX and - either 2^(P-1) <= c < 2^P (normal) - or 0 < c < 2^(P-1) and q = Q_MIN (subnormal) + * For full details see references [2] and [1]. + * + * For finite v != 0, determine integers c and q such that + * |v| = c 2^q and + * Q_MIN <= q <= Q_MAX and + * either 2^(P-1) <= c < 2^P (normal) + * or 0 < c < 2^(P-1) and q = Q_MIN (subnormal) */ int bits = floatToRawIntBits(v); int t = bits & T_MASK; @@ -331,10 +209,10 @@ private int toDecimal(float v) { append('-'); } if (bq != 0) { - // normal value. Here mq = -q + /* normal value. Here mq = -q */ int mq = -Q_MIN + 1 - bq; int c = C_MIN | t; - // The fast path discussed in section 8.2 of [1]. + /* The fast path discussed in section 8.3 of [1] */ if (0 < mq & mq < P) { int f = c >> mq; if (f << mq == c) { @@ -344,7 +222,7 @@ private int toDecimal(float v) { return toDecimal(-mq, c, 0); } if (t != 0) { - // subnormal value + /* subnormal value */ return t < C_TINY ? toDecimal(Q_MIN, 10 * t, -1) : toDecimal(Q_MIN, t, 0); @@ -359,22 +237,22 @@ private int toDecimal(float v) { private int toDecimal(int q, int c, int dk) { /* - The skeleton corresponds to figure 4 of [1]. - The efficient computations are those summarized in figure 7. - Also check the appendix. - - Here's a correspondence between Java names and names in [1], - expressed as approximate LaTeX source code and informally. - Other names are identical. - cb: \bar{c} "c-bar" - cbr: \bar{c}_r "c-bar-r" - cbl: \bar{c}_l "c-bar-l" - - vb: \bar{v} "v-bar" - vbr: \bar{v}_r "v-bar-r" - vbl: \bar{v}_l "v-bar-l" - - rop: r_o' "r-o-prime" + * The skeleton corresponds to figure 7 of [1]. + * The efficient computations are those summarized in figure 9. + * Also check the appendix. + * + * Here's a correspondence between Java names and names in [1], + * expressed as approximate LaTeX source code and informally. + * Other names are identical. + * cb: \bar{c} "c-bar" + * cbr: \bar{c}_r "c-bar-r" + * cbl: \bar{c}_l "c-bar-l" + * + * vb: \bar{v} "v-bar" + * vbr: \bar{v}_r "v-bar-r" + * vbl: \bar{v}_l "v-bar-l" + * + * rop: r_o' "r-o-prime" */ int out = c & 0x1; long cb = c << 2; @@ -382,22 +260,22 @@ private int toDecimal(int q, int c, int dk) { long cbl; int k; /* - flog10pow2(e) = floor(log_10(2^e)) - flog10threeQuartersPow2(e) = floor(log_10(3/4 2^e)) - flog2pow10(e) = floor(log_2(10^e)) + * flog10pow2(e) = floor(log_10(2^e)) + * flog10threeQuartersPow2(e) = floor(log_10(3/4 2^e)) + * flog2pow10(e) = floor(log_2(10^e)) */ if (c != C_MIN | q == Q_MIN) { - // regular spacing + /* regular spacing */ cbl = cb - 2; k = flog10pow2(q); } else { - // irregular spacing0 + /* irregular spacing */ cbl = cb - 1; k = flog10threeQuartersPow2(q); } int h = q + flog2pow10(-k) + 33; - // g is as in the appendix + /* g is as in the appendix */ long g = g1(k) + 1; int vb = rop(g, cb << h); @@ -407,14 +285,14 @@ private int toDecimal(int q, int c, int dk) { int s = vb >> 2; if (s >= 100) { /* - For n = 9, m = 1 the table in section 10 of [1] shows - s' = floor(s / 10) = floor(s 1_717_986_919 / 2^34) - - sp10 = 10 s' - tp10 = 10 t' - upin iff u' = sp10 10^k in Rv - wpin iff w' = tp10 10^k in Rv - See section 9.4 of [1]. + * For n = 9, m = 1 the table in section 10 of [1] shows + * s' = floor(s / 10) = floor(s 1_717_986_919 / 2^34) + * + * sp10 = 10 s' + * tp10 = 10 t' + * upin iff u' = sp10 10^k in Rv + * wpin iff w' = tp10 10^k in Rv + * See section 9.3 of [1]. */ int sp10 = 10 * (int) (s * 1_717_986_919L >>> 34); int tp10 = sp10 + 10; @@ -426,29 +304,29 @@ private int toDecimal(int q, int c, int dk) { } /* - 10 <= s < 100 or s >= 100 and u', w' not in Rv - uin iff u = s 10^k in Rv - win iff w = t 10^k in Rv - See section 9.4 of [1]. + * 10 <= s < 100 or s >= 100 and u', w' not in Rv + * uin iff u = s 10^k in Rv + * win iff w = t 10^k in Rv + * See section 9.3 of [1]. */ int t = s + 1; boolean uin = vbl + out <= s << 2; boolean win = (t << 2) + out <= vbr; if (uin != win) { - // Exactly one of u or w lies in Rv. + /* Exactly one of u or w lies in Rv */ return toChars(uin ? s : t, k + dk); } /* - Both u and w lie in Rv: determine the one closest to v. - See section 9.4 of [1]. + * Both u and w lie in Rv: determine the one closest to v. + * See section 9.3 of [1]. */ int cmp = vb - (s + t << 1); return toChars(cmp < 0 || cmp == 0 && (s & 0x1) == 0 ? s : t, k + dk); } /* - Computes rop(cp g 2^(-95)) - See appendix and figure 8 of [1]. + * Computes rop(cp g 2^(-95)) + * See appendix and figure 11 of [1]. */ private static int rop(long g, long cp) { long x1 = multiplyHigh(g, cp); @@ -457,14 +335,14 @@ private static int rop(long g, long cp) { } /* - Formats the decimal f 10^e. + * Formats the decimal f 10^e. */ private int toChars(int f, int e) { /* - For details not discussed here see section 10 of [1]. - - Determine len such that - 10^(len-1) <= f < 10^len + * For details not discussed here see section 10 of [1]. + * + * Determine len such that + * 10^(len-1) <= f < 10^len */ int len = flog10pow2(Integer.SIZE - numberOfLeadingZeros(f)); if (f >= pow10(len)) { @@ -472,23 +350,23 @@ private int toChars(int f, int e) { } /* - Let fp and ep be the original f and e, respectively. - Transform f and e to ensure - 10^(H-1) <= f < 10^H - fp 10^ep = f 10^(e-H) = 0.f 10^e + * Let fp and ep be the original f and e, respectively. + * Transform f and e to ensure + * 10^(H-1) <= f < 10^H + * fp 10^ep = f 10^(e-H) = 0.f 10^e */ - f *= pow10(H - len); + f *= (int)pow10(H - len); e += len; /* - The toChars?() methods perform left-to-right digits extraction - using ints, provided that the arguments are limited to 8 digits. - Therefore, split the H = 9 digits of f into: - h = the most significant digit of f - l = the last 8, least significant digits of f - - For n = 9, m = 8 the table in section 10 of [1] shows - floor(f / 10^8) = floor(1_441_151_881 f / 2^57) + * The toChars?() methods perform left-to-right digits extraction + * using ints, provided that the arguments are limited to 8 digits. + * Therefore, split the H = 9 digits of f into: + * h = the most significant digit of f + * l = the last 8, least significant digits of f + * + * For n = 9, m = 8 the table in section 10 of [1] shows + * floor(f / 10^8) = floor(1_441_151_881 f / 2^57) */ int h = (int) (f * 1_441_151_881L >>> 57); int l = f - 100_000_000 * h; @@ -504,9 +382,9 @@ private int toChars(int f, int e) { private int toChars1(int h, int l, int e) { /* - 0 < e <= 7: plain format without leading zeroes. - Left-to-right digits extraction: - algorithm 1 in [3], with b = 10, k = 8, n = 28. + * 0 < e <= 7: plain format without leading zeroes. + * Left-to-right digits extraction: + * algorithm 1 in [3], with b = 10, k = 8, n = 28. */ appendDigit(h); int y = y(l); @@ -528,7 +406,7 @@ private int toChars1(int h, int l, int e) { } private int toChars2(int h, int l, int e) { - // -3 < e <= 0: plain format with leading zeroes. + /* -3 < e <= 0: plain format with leading zeroes */ appendDigit(0); append('.'); for (; e < 0; ++e) { @@ -541,7 +419,7 @@ private int toChars2(int h, int l, int e) { } private int toChars3(int h, int l, int e) { - // -3 >= e | e > 7: computerized scientific notation + /* -3 >= e | e > 7: computerized scientific notation */ appendDigit(h); append('.'); append8Digits(l); @@ -552,8 +430,8 @@ private int toChars3(int h, int l, int e) { private void append8Digits(int m) { /* - Left-to-right digits extraction: - algorithm 1 in [3], with b = 10, k = 8, n = 28. + * Left-to-right digits extraction: + * algorithm 1 in [3], with b = 10, k = 8, n = 28. */ int y = y(m); for (int i = 0; i < 8; ++i) { @@ -567,7 +445,7 @@ private void removeTrailingZeroes() { while (bytes[index] == '0') { --index; } - // ... but do not remove the one directly to the right of '.' + /* ... but do not remove the one directly to the right of '.' */ if (bytes[index] == '.') { ++index; } @@ -575,12 +453,12 @@ private void removeTrailingZeroes() { private int y(int a) { /* - Algorithm 1 in [3] needs computation of - floor((a + 1) 2^n / b^k) - 1 - with a < 10^8, b = 10, k = 8, n = 28. - Noting that - (a + 1) 2^n <= 10^8 2^28 < 10^17 - For n = 17, m = 8 the table in section 10 of [1] leads to: + * Algorithm 1 in [3] needs computation of + * floor((a + 1) 2^n / b^k) - 1 + * with a < 10^8, b = 10, k = 8, n = 28. + * Noting that + * (a + 1) 2^n <= 10^8 2^28 < 10^17 + * For n = 17, m = 8 the table in section 10 of [1] leads to: */ return (int) (multiplyHigh( (long) (a + 1) << 28, @@ -598,8 +476,8 @@ private void exponent(int e) { return; } /* - For n = 2, m = 1 the table in section 10 of [1] shows - floor(e / 10) = floor(103 e / 2^10) + * For n = 2, m = 1 the table in section 10 of [1] shows + * floor(e / 10) = floor(103 e / 2^10) */ int d = e * 103 >>> 10; appendDigit(d); @@ -614,11 +492,10 @@ private void appendDigit(int d) { bytes[++index] = (byte) ('0' + d); } - // Using the deprecated constructor enhances performance. + /* Using the deprecated constructor enhances performance */ @SuppressWarnings("deprecation") private String charsToString() { return new String(bytes, 0, 0, index + 1); } } - diff --git a/src/main/java/com/fasterxml/jackson/core/io/schubfach/MathUtils.java b/src/main/java/com/fasterxml/jackson/core/io/schubfach/MathUtils.java index c8e89d7c8b..28585748cc 100644 --- a/src/main/java/com/fasterxml/jackson/core/io/schubfach/MathUtils.java +++ b/src/main/java/com/fasterxml/jackson/core/io/schubfach/MathUtils.java @@ -1,23 +1,26 @@ /* - * Copyright 2018-2020 Raffaello Giulietti + * Copyright (c) 2021, 2022, Oracle and/or its affiliates. All rights reserved. + * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. * - * Permission is hereby granted, free of charge, to any person obtaining a copy - * of this software and associated documentation files (the "Software"), to deal - * in the Software without restriction, including without limitation the rights - * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell - * copies of the Software, and to permit persons to whom the Software is - * furnished to do so, subject to the following conditions: + * This code is free software; you can redistribute it and/or modify it + * under the terms of the GNU General Public License version 2 only, as + * published by the Free Software Foundation. Oracle designates this + * particular file as subject to the "Classpath" exception as provided + * by Oracle in the LICENSE file that accompanied this code. * - * The above copyright notice and this permission notice shall be included in - * all copies or substantial portions of the Software. + * This code is distributed in the hope that it will be useful, but WITHOUT + * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or + * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License + * version 2 for more details (a copy is included in the LICENSE file that + * accompanied this code). * - * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR - * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, - * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE - * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER - * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, - * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN - * THE SOFTWARE. + * You should have received a copy of the GNU General Public License version + * 2 along with this work; if not, write to the Free Software Foundation, + * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA. + * + * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA + * or visit www.oracle.com if you need additional information or have any + * questions. */ package com.fasterxml.jackson.core.io.schubfach; @@ -26,43 +29,40 @@ * This class exposes package private utilities for other classes. * Thus, all methods are assumed to be invoked with correct arguments, * so these are not checked at all. - * - * @author Raffaello Giulietti */ final class MathUtils { /* - For full details about this code see the following reference: - - Giulietti, "The Schubfach way to render doubles", - https://drive.google.com/open?id=1luHhyQF9zKlM8yJ1nebU0OgVYhfC6CBN + * For full details about this code see the following reference: + * + * Giulietti, "The Schubfach way to render doubles", + * https://drive.google.com/file/d/1gp5xv4CAa78SVgCeWfGqqI4FfYYYuNFb */ - // Sources with the license are here: https://github.com/c4f7fcce9cb06515/Schubfach/blob/3c92d3c9b1fead540616c918cdfef432bca53dfa/todec/src/math/FloatToDecimal.java - /* - The boundaries for k in g0(int) and g1(int). - K_MIN must be DoubleToDecimal.K_MIN or less. - K_MAX must be DoubleToDecimal.K_MAX or more. + * The boundaries for k in g0(int) and g1(int). + * K_MIN must be DoubleToDecimal.K_MIN or less. + * K_MAX must be DoubleToDecimal.K_MAX or more. */ static final int K_MIN = -324; static final int K_MAX = 292; - // Must be DoubleToDecimal.H or more + /* Must be DoubleToDecimal.H or more */ static final int H = 17; - // C_10 = floor(log10(2) * 2^Q_10), A_10 = floor(log10(3/4) * 2^Q_10) + /* C_10 = floor(log10(2) * 2^Q_10), A_10 = floor(log10(3/4) * 2^Q_10) */ private static final int Q_10 = 41; private static final long C_10 = 661_971_961_083L; private static final long A_10 = -274_743_187_321L; - // C_2 = floor(log2(10) * 2^Q_2) + /* C_2 = floor(log2(10) * 2^Q_2) */ private static final int Q_2 = 38; private static final long C_2 = 913_124_641_741L; private MathUtils() { + throw new RuntimeException("not supposed to be instantiated."); } - // The first powers of 10. The last entry must be 10^H. + /* The first powers of 10. The last entry must be 10^(DoubleToDecimal.H) */ private static final long[] pow10 = { 1L, 10L, @@ -100,11 +100,11 @@ static long pow10(int e) { * 10k ≤ 2{@code e} * < 10k+1. *

- * The result is correct when |{@code e}| ≤ 5_456_721. + * The result is correct when |{@code e}| ≤ 6_432_162. * Otherwise the result is undefined. * * @param e The exponent of 2, which should meet - * |{@code e}| ≤ 5_456_721 for safe results. + * |{@code e}| ≤ 6_432_162 for safe results. * @return ⌊log102{@code e}⌋. */ static int flog10pow2(int e) { @@ -117,11 +117,11 @@ static int flog10pow2(int e) { * < 10k+1. *

* The result is correct when - * -2_956_395 ≤ {@code e} ≤ 2_500_325. + * -3_606_689 ≤ {@code e} ≤ 3_150_619. * Otherwise the result is undefined. * * @param e The exponent of 2, which should meet - * -2_956_395 ≤ {@code e} ≤ 2_500_325 for safe results. + * -3_606_689 ≤ {@code e} ≤ 3_150_619 for safe results. * @return ⌊log10(3/4 · * 2{@code e})⌋. */ @@ -198,628 +198,628 @@ static long multiplyHigh(long x, long y) { } /* - The precomputed values for g1(int) and g0(int). - The first entry must be for an exponent of K_MIN or less. - The last entry must be for an exponent of K_MAX or more. + * The precomputed values for g1(int) and g0(int). + * The first entry must be for an exponent of K_MIN or less. + * The last entry must be for an exponent of K_MAX or more. */ private static final long[] g = { - /* -324 */ 0x4F0C_EDC9_5A71_8DD4L, 0x5B01_E8B0_9AA0_D1B5L, - /* -323 */ 0x7E7B_160E_F71C_1621L, 0x119C_A780_F767_B5EEL, - /* -322 */ 0x652F_44D8_C5B0_11B4L, 0x0E16_EC67_2C52_F7F2L, - /* -321 */ 0x50F2_9D7A_37C0_0E29L, 0x5812_56B8_F042_5FF5L, - /* -320 */ 0x40C2_1794_F966_71BAL, 0x79A8_4560_C035_1991L, - /* -319 */ 0x679C_F287_F570_B5F7L, 0x75DA_089A_CD21_C281L, - /* -318 */ 0x52E3_F539_9126_F7F9L, 0x44AE_6D48_A41B_0201L, - /* -317 */ 0x424F_F761_40EB_F994L, 0x36F1_F106_E9AF_34CDL, - /* -316 */ 0x6A19_8BCE_CE46_5C20L, 0x57E9_81A4_A918_547BL, - /* -315 */ 0x54E1_3CA5_71D1_E34DL, 0x2CBA_CE1D_5413_76C9L, - /* -314 */ 0x43E7_63B7_8E41_82A4L, 0x23C8_A4E4_4342_C56EL, - /* -313 */ 0x6CA5_6C58_E39C_043AL, 0x060D_D4A0_6B9E_08B0L, - /* -312 */ 0x56EA_BD13_E949_9CFBL, 0x1E71_76E6_BC7E_6D59L, - /* -311 */ 0x4588_9743_2107_B0C8L, 0x7EC1_2BEB_C9FE_BDE1L, - /* -310 */ 0x6F40_F205_01A5_E7A7L, 0x7E01_DFDF_A997_9635L, - /* -309 */ 0x5900_C19D_9AEB_1FB9L, 0x4B34_B319_5479_44F7L, - /* -308 */ 0x4733_CE17_AF22_7FC7L, 0x55C3_C27A_A9FA_9D93L, - /* -307 */ 0x71EC_7CF2_B1D0_CC72L, 0x5606_03F7_765D_C8EAL, - /* -306 */ 0x5B23_9728_8E40_A38EL, 0x7804_CFF9_2B7E_3A55L, - /* -305 */ 0x48E9_45BA_0B66_E93FL, 0x1337_0CC7_55FE_9511L, - /* -304 */ 0x74A8_6F90_123E_41FEL, 0x51F1_AE0B_BCCA_881BL, - /* -303 */ 0x5D53_8C73_41CB_67FEL, 0x74C1_5809_63D5_39AFL, - /* -302 */ 0x4AA9_3D29_016F_8665L, 0x43CD_E007_8310_FAF3L, - /* -301 */ 0x7775_2EA8_024C_0A3CL, 0x0616_333F_381B_2B1EL, - /* -300 */ 0x5F90_F220_01D6_6E96L, 0x3811_C298_F9AF_55B1L, - /* -299 */ 0x4C73_F4E6_67DE_BEDEL, 0x600E_3547_2E25_DE28L, - /* -298 */ 0x7A53_2170_A631_3164L, 0x3349_EED8_49D6_303FL, - /* -297 */ 0x61DC_1AC0_84F4_2783L, 0x42A1_8BE0_3B11_C033L, - /* -296 */ 0x4E49_AF00_6A5C_EC69L, 0x1BB4_6FE6_95A7_CCF5L, - /* -295 */ 0x7D42_B19A_43C7_E0A8L, 0x2C53_E63D_BC3F_AE55L, - /* -294 */ 0x6435_5AE1_CFD3_1A20L, 0x2376_51CA_FCFF_BEAAL, - /* -293 */ 0x502A_AF1B_0CA8_E1B3L, 0x35F8_416F_30CC_9888L, - /* -292 */ 0x4022_25AF_3D53_E7C2L, 0x5E60_3458_F3D6_E06DL, - /* -291 */ 0x669D_0918_621F_D937L, 0x4A33_86F4_B957_CD7BL, - /* -290 */ 0x5217_3A79_E819_7A92L, 0x6E8F_9F2A_2DDF_D796L, - /* -289 */ 0x41AC_2EC7_ECE1_2EDBL, 0x720C_7F54_F17F_DFABL, - /* -288 */ 0x6913_7E0C_AE35_17C6L, 0x1CE0_CBBB_1BFF_CC45L, - /* -287 */ 0x540F_980A_24F7_4638L, 0x171A_3C95_AFFF_D69EL, - /* -286 */ 0x433F_ACD4_EA5F_6B60L, 0x127B_63AA_F333_1218L, - /* -285 */ 0x6B99_1487_DD65_7899L, 0x6A5F_05DE_51EB_5026L, - /* -284 */ 0x5614_106C_B11D_FA14L, 0x5518_D17E_A7EF_7352L, - /* -283 */ 0x44DC_D9F0_8DB1_94DDL, 0x2A7A_4132_1FF2_C2A8L, - /* -282 */ 0x6E2E_2980_E2B5_BAFBL, 0x5D90_6850_331E_043FL, - /* -281 */ 0x5824_EE00_B55E_2F2FL, 0x6473_86A6_8F4B_3699L, - /* -280 */ 0x4683_F19A_2AB1_BF59L, 0x36C2_D21E_D908_F87BL, - /* -279 */ 0x70D3_1C29_DDE9_3228L, 0x579E_1CFE_280E_5A5DL, - /* -278 */ 0x5A42_7CEE_4B20_F4EDL, 0x2C7E_7D98_200B_7B7EL, - /* -277 */ 0x4835_30BE_A280_C3F1L, 0x09FE_CAE0_19A2_C932L, - /* -276 */ 0x7388_4DFD_D0CE_064EL, 0x4331_4499_C29E_0EB6L, - /* -275 */ 0x5C6D_0B31_73D8_050BL, 0x4F5A_9D47_CEE4_D891L, - /* -274 */ 0x49F0_D5C1_2979_9DA2L, 0x72AE_E439_7250_AD41L, - /* -273 */ 0x764E_22CE_A8C2_95D1L, 0x377E_39F5_83B4_4868L, - /* -272 */ 0x5EA4_E8A5_53CE_DE41L, 0x12CB_6191_3629_D387L, - /* -271 */ 0x4BB7_2084_430B_E500L, 0x756F_8140_F821_7605L, - /* -270 */ 0x7925_00D3_9E79_6E67L, 0x6F18_CECE_59CF_233CL, - /* -269 */ 0x60EA_670F_B1FA_BEB9L, 0x3F47_0BD8_47D8_E8FDL, - /* -268 */ 0x4D88_5272_F4C8_9894L, 0x329F_3CAD_0647_20CAL, - /* -267 */ 0x7C0D_50B7_EE0D_C0EDL, 0x3765_2DE1_A3A5_0143L, - /* -266 */ 0x633D_DA2C_BE71_6724L, 0x2C50_F181_4FB7_3436L, - /* -265 */ 0x4F64_AE8A_31F4_5283L, 0x3D0D_8E01_0C92_902BL, - /* -264 */ 0x7F07_7DA9_E986_EA6BL, 0x7B48_E334_E0EA_8045L, - /* -263 */ 0x659F_97BB_2138_BB89L, 0x4907_1C2A_4D88_669DL, - /* -262 */ 0x514C_7962_80FA_2FA1L, 0x20D2_7CEE_A46D_1EE4L, - /* -261 */ 0x4109_FAB5_33FB_594DL, 0x670E_CA58_838A_7F1DL, - /* -260 */ 0x680F_F788_532B_C216L, 0x0B4A_DD5A_6C10_CB62L, - /* -259 */ 0x533F_F939_DC23_01ABL, 0x22A2_4AAE_BCDA_3C4EL, - /* -258 */ 0x4299_942E_49B5_9AEFL, 0x354E_A225_63E1_C9D8L, - /* -257 */ 0x6A8F_537D_42BC_2B18L, 0x554A_9D08_9FCF_A95AL, - /* -256 */ 0x553F_75FD_CEFC_EF46L, 0x776E_E406_E63F_BAAEL, - /* -255 */ 0x4432_C4CB_0BFD_8C38L, 0x5F8B_E99F_1E99_6225L, - /* -254 */ 0x6D1E_07AB_4662_79F4L, 0x3279_75CB_6428_9D08L, - /* -253 */ 0x574B_3955_D1E8_6190L, 0x2861_2B09_1CED_4A6DL, - /* -252 */ 0x45D5_C777_DB20_4E0DL, 0x06B4_226D_B0BD_D524L, - /* -251 */ 0x6FBC_7259_5E9A_167BL, 0x2453_6A49_1AC9_5506L, - /* -250 */ 0x5963_8EAD_E548_11FCL, 0x1D0F_883A_7BD4_4405L, - /* -249 */ 0x4782_D88B_1DD3_4196L, 0x4A72_D361_FCA9_D004L, - /* -248 */ 0x726A_F411_C952_028AL, 0x43EA_EBCF_FAA9_4CD3L, - /* -247 */ 0x5B88_C341_6DDB_353BL, 0x4FEF_230C_C887_70A9L, - /* -246 */ 0x493A_35CD_F17C_2A96L, 0x0CBF_4F3D_6D39_26EEL, - /* -245 */ 0x7529_EFAF_E8C6_AA89L, 0x6132_1862_485B_717CL, - /* -244 */ 0x5DBB_2626_53D2_2207L, 0x675B_46B5_06AF_8DFDL, - /* -243 */ 0x4AFC_1E85_0FDB_4E6CL, 0x52AF_6BC4_0559_3E64L, - /* -242 */ 0x77F9_CA6E_7FC5_4A47L, 0x377F_12D3_3BC1_FD6DL, - /* -241 */ 0x5FFB_0858_6637_6E9FL, 0x45FF_4242_9634_CABDL, - /* -240 */ 0x4CC8_D379_EB5F_8BB2L, 0x6B32_9B68_782A_3BCBL, - /* -239 */ 0x7ADA_EBF6_4565_AC51L, 0x2B84_2BDA_59DD_2C77L, - /* -238 */ 0x6248_BCC5_0451_56A7L, 0x3C69_BCAE_AE4A_89F9L, - /* -237 */ 0x4EA0_9704_0374_4552L, 0x6387_CA25_583B_A194L, - /* -236 */ 0x7DCD_BE6C_D253_A21EL, 0x05A6_103B_C05F_68EDL, - /* -235 */ 0x64A4_9857_0EA9_4E7EL, 0x37B8_0CFC_99E5_ED8AL, - /* -234 */ 0x5083_AD12_7221_0B98L, 0x2C93_3D96_E184_BE08L, - /* -233 */ 0x4069_5741_F4E7_3C79L, 0x7075_CADF_1AD0_9807L, - /* -232 */ 0x670E_F203_2171_FA5CL, 0x4D89_4498_2AE7_59A4L, - /* -231 */ 0x5272_5B35_B45B_2EB0L, 0x3E07_6A13_5585_E150L, - /* -230 */ 0x41F5_15C4_9048_F226L, 0x64D2_BB42_AAD1_810DL, - /* -229 */ 0x6988_22D4_1A0E_503EL, 0x07B7_9204_4482_6815L, - /* -228 */ 0x546C_E8A9_AE71_D9CBL, 0x1FC6_0E69_D068_5344L, - /* -227 */ 0x438A_53BA_F1F4_AE3CL, 0x196B_3EBB_0D20_429DL, - /* -226 */ 0x6C10_85F7_E987_7D2DL, 0x0F11_FDF8_1500_6A94L, - /* -225 */ 0x5673_9E5F_EE05_FDBDL, 0x58DB_3193_4400_5543L, - /* -224 */ 0x4529_4B7F_F19E_6497L, 0x60AF_5ADC_3666_AA9CL, - /* -223 */ 0x6EA8_78CC_B5CA_3A8CL, 0x344B_C493_8A3D_DDC7L, - /* -222 */ 0x5886_C70A_2B08_2ED6L, 0x5D09_6A0F_A1CB_17D2L, - /* -221 */ 0x46D2_38D4_EF39_BF12L, 0x173A_BB3F_B4A2_7975L, - /* -220 */ 0x7150_5AEE_4B8F_981DL, 0x0B91_2B99_2103_F588L, - /* -219 */ 0x5AA6_AF25_093F_ACE4L, 0x0940_EFAD_B403_2AD3L, - /* -218 */ 0x4885_58EA_6DCC_8A50L, 0x0767_2624_9002_88A9L, - /* -217 */ 0x7408_8E43_E2E0_DD4CL, 0x723E_A36D_B337_410EL, - /* -216 */ 0x5CD3_A503_1BE7_1770L, 0x5B65_4F8A_F5C5_CDA5L, - /* -215 */ 0x4A42_EA68_E31F_45F3L, 0x62B7_72D5_916B_0AEBL, - /* -214 */ 0x76D1_770E_3832_0986L, 0x0458_B7BC_1BDE_77DDL, - /* -213 */ 0x5F0D_F8D8_2CF4_D46BL, 0x1D13_C630_164B_9318L, - /* -212 */ 0x4C0B_2D79_BD90_A9EFL, 0x30DC_9E8C_DEA2_DC13L, - /* -211 */ 0x79AB_7BF5_FC1A_A97FL, 0x0160_FDAE_3104_9351L, - /* -210 */ 0x6155_FCC4_C9AE_EDFFL, 0x1AB3_FE24_F403_A90EL, - /* -209 */ 0x4DDE_63D0_A158_BE65L, 0x6229_981D_9002_EDA5L, - /* -208 */ 0x7C97_061A_9BC1_30A2L, 0x69DC_2695_B337_E2A1L, - /* -207 */ 0x63AC_04E2_1634_26E8L, 0x54B0_1EDE_28F9_821BL, - /* -206 */ 0x4FBC_D0B4_DE90_1F20L, 0x43C0_18B1_BA61_34E2L, - /* -205 */ 0x7F94_8121_6419_CB67L, 0x1F99_C11C_5D68_549DL, - /* -204 */ 0x6610_674D_E9AE_3C52L, 0x4C7B_00E3_7DED_107EL, - /* -203 */ 0x51A6_B90B_2158_3042L, 0x09FC_00B5_FE57_4065L, - /* -202 */ 0x4152_2DA2_8113_59CEL, 0x3B30_0091_9845_CD1DL, - /* -201 */ 0x6883_7C37_34EB_C2E3L, 0x784C_CDB5_C06F_AE95L, - /* -200 */ 0x539C_635F_5D89_68B6L, 0x2D0A_3E2B_0059_5877L, - /* -199 */ 0x42E3_82B2_B13A_BA2BL, 0x3DA1_CB55_99E1_1393L, - /* -198 */ 0x6B05_9DEA_B52A_C378L, 0x629C_7888_F634_EC1EL, - /* -197 */ 0x559E_17EE_F755_692DL, 0x3549_FA07_2B5D_89B1L, - /* -196 */ 0x447E_798B_F911_20F1L, 0x1107_FB38_EF7E_07C1L, - /* -195 */ 0x6D97_28DF_F4E8_34B5L, 0x01A6_5EC1_7F30_0C68L, - /* -194 */ 0x57AC_20B3_2A53_5D5DL, 0x4E1E_B234_65C0_09EDL, - /* -193 */ 0x4623_4D5C_21DC_4AB1L, 0x24E5_5B5D_1E33_3B24L, - /* -192 */ 0x7038_7BC6_9C93_AAB5L, 0x216E_F894_FD1E_C506L, - /* -191 */ 0x59C6_C96B_B076_222AL, 0x4DF2_6077_30E5_6A6CL, - /* -190 */ 0x47D2_3ABC_8D2B_4E88L, 0x3E5B_805F_5A51_21F0L, - /* -189 */ 0x72E9_F794_1512_1740L, 0x63C5_9A32_2A1B_697FL, - /* -188 */ 0x5BEE_5FA9_AA74_DF67L, 0x0304_7B5B_54E2_BACCL, - /* -187 */ 0x498B_7FBA_EEC3_E5ECL, 0x0269_FC49_10B5_623DL, - /* -186 */ 0x75AB_FF91_7E06_3CACL, 0x6A43_2D41_B455_69FBL, - /* -185 */ 0x5E23_32DA_CB38_308AL, 0x21CF_5767_C377_87FCL, - /* -184 */ 0x4B4F_5BE2_3C2C_F3A1L, 0x67D9_12B9_692C_6CCAL, - /* -183 */ 0x787E_F969_F9E1_85CFL, 0x595B_5128_A847_1476L, - /* -182 */ 0x6065_9454_C7E7_9E3FL, 0x6115_DA86_ED05_A9F8L, - /* -181 */ 0x4D1E_1043_D31F_B1CCL, 0x4DAB_1538_BD9E_2193L, - /* -180 */ 0x7B63_4D39_51CC_4FADL, 0x62AB_5527_95C9_CF52L, - /* -179 */ 0x62B5_D761_0E3D_0C8BL, 0x0222_AA86_116E_3F75L, - /* -178 */ 0x4EF7_DF80_D830_D6D5L, 0x4E82_2204_DABE_992AL, - /* -177 */ 0x7E59_659A_F381_57BCL, 0x1736_9CD4_9130_F510L, - /* -176 */ 0x6514_5148_C2CD_DFC9L, 0x5F5E_E3DD_40F3_F740L, - /* -175 */ 0x50DD_0DD3_CF0B_196EL, 0x1918_B64A_9A5C_C5CDL, - /* -174 */ 0x40B0_D7DC_A5A2_7ABEL, 0x4746_F83B_AEB0_9E3EL, - /* -173 */ 0x6781_5961_0903_F797L, 0x253E_59F9_1780_FD2FL, - /* -172 */ 0x52CD_E11A_6D9C_C612L, 0x50FE_AE60_DF9A_6426L, - /* -171 */ 0x423E_4DAE_BE17_04DBL, 0x5A65_584D_7FAE_B685L, - /* -170 */ 0x69FD_4917_968B_3AF9L, 0x10A2_26E2_65E4_573BL, - /* -169 */ 0x54CA_A0DF_ABA2_9594L, 0x0D4E_8581_EB1D_1295L, - /* -168 */ 0x43D5_4D7F_BC82_1143L, 0x243E_D134_BC17_4211L, - /* -167 */ 0x6C88_7BFF_9403_4ED2L, 0x06CA_E854_6025_3682L, - /* -166 */ 0x56D3_9666_1002_A574L, 0x6BD5_86A9_E684_2B9BL, - /* -165 */ 0x4576_11EB_4002_1DF7L, 0x0977_9EEE_5203_5616L, - /* -164 */ 0x6F23_4FDE_CCD0_2FF1L, 0x5BF2_97E3_B66B_BCEFL, - /* -163 */ 0x58E9_0CB2_3D73_598EL, 0x165B_ACB6_2B89_63F3L, - /* -162 */ 0x4720_D6F4_FDF5_E13EL, 0x4516_23C4_EFA1_1CC2L, - /* -161 */ 0x71CE_24BB_2FEF_CECAL, 0x3B56_9FA1_7F68_2E03L, - /* -160 */ 0x5B0B_5095_BFF3_0BD5L, 0x15DE_E61A_CC53_5803L, - /* -159 */ 0x48D5_DA11_665C_0977L, 0x2B18_B815_7042_ACCFL, - /* -158 */ 0x7489_5CE8_A3C6_758BL, 0x5E8D_F355_806A_AE18L, - /* -157 */ 0x5D3A_B0BA_1C9E_C46FL, 0x653E_5C44_66BB_BE7AL, - /* -156 */ 0x4A95_5A2E_7D4B_D059L, 0x3765_169D_1EFC_9861L, - /* -155 */ 0x7755_5D17_2EDF_B3C2L, 0x256E_8A94_FE60_F3CFL, - /* -154 */ 0x5F77_7DAC_257F_C301L, 0x6ABE_D543_FEB3_F63FL, - /* -153 */ 0x4C5F_97BC_EACC_9C01L, 0x3BCB_DDCF_FEF6_5E99L, - /* -152 */ 0x7A32_8C61_77AD_C668L, 0x5FAC_9619_97F0_975BL, - /* -151 */ 0x61C2_09E7_92F1_6B86L, 0x7FBD_44E1_465A_12AFL, - /* -150 */ 0x4E34_D4B9_425A_BC6BL, 0x7FCA_9D81_0514_DBBFL, - /* -149 */ 0x7D21_545B_9D5D_FA46L, 0x32DD_C8CE_6E87_C5FFL, - /* -148 */ 0x641A_A9E2_E44B_2E9EL, 0x5BE4_A0A5_2539_6B32L, - /* -147 */ 0x5015_54B5_836F_587EL, 0x7CB6_E6EA_842D_EF5CL, - /* -146 */ 0x4011_1091_35F2_AD32L, 0x3092_5255_368B_25E3L, - /* -145 */ 0x6681_B41B_8984_4850L, 0x4DB6_EA21_F0DE_A304L, - /* -144 */ 0x5201_5CE2_D469_D373L, 0x57C5_881B_2718_826AL, - /* -143 */ 0x419A_B0B5_76BB_0F8FL, 0x5FD1_39AF_527A_01EFL, - /* -142 */ 0x68F7_8122_5791_B27FL, 0x4C81_F5E5_50C3_364AL, - /* -141 */ 0x53F9_341B_7941_5B99L, 0x239B_2B1D_DA35_C508L, - /* -140 */ 0x432D_C349_2DCD_E2E1L, 0x02E2_88E4_AE91_6A6DL, - /* -139 */ 0x6B7C_6BA8_4949_6B01L, 0x516A_74A1_174F_10AEL, - /* -138 */ 0x55FD_22ED_076D_EF34L, 0x4121_F6E7_45D8_DA25L, - /* -137 */ 0x44CA_8257_3924_BF5DL, 0x1A81_9252_9E47_14EBL, - /* -136 */ 0x6E10_D08B_8EA1_322EL, 0x5D9C_1D50_FD3E_87DDL, - /* -135 */ 0x580D_73A2_D880_F4F2L, 0x17B0_1773_FDCB_9FE4L, - /* -134 */ 0x4671_294F_139A_5D8EL, 0x4626_7929_97D6_1984L, - /* -133 */ 0x70B5_0EE4_EC2A_2F4AL, 0x3D0A_5B75_BFBC_F59FL, - /* -132 */ 0x5A2A_7250_BCEE_8C3BL, 0x4A6E_AF91_6630_C47FL, - /* -131 */ 0x4821_F50D_63F2_09C9L, 0x21F2_260D_EB5A_36CCL, - /* -130 */ 0x7369_8815_6CB6_760EL, 0x6983_7016_455D_247AL, - /* -129 */ 0x5C54_6CDD_F091_F80BL, 0x6E02_C011_D117_5062L, - /* -128 */ 0x49DD_23E4_C074_C66FL, 0x719B_CCDB_0DAC_404EL, - /* -127 */ 0x762E_9FD4_6721_3D7FL, 0x68F9_47C4_E2AD_33B0L, - /* -126 */ 0x5E8B_B310_5280_FDFFL, 0x6D94_396A_4EF0_F627L, - /* -125 */ 0x4BA2_F5A6_A867_3199L, 0x3E10_2DEE_A58D_91B9L, - /* -124 */ 0x7904_BC3D_DA3E_B5C2L, 0x3019_E317_6F48_E927L, - /* -123 */ 0x60D0_9697_E1CB_C49BL, 0x4014_B5AC_5907_20ECL, - /* -122 */ 0x4D73_ABAC_B4A3_03AFL, 0x4CDD_5E23_7A6C_1A57L, - /* -121 */ 0x7BEC_45E1_2104_D2B2L, 0x47C8_969F_2A46_908AL, - /* -120 */ 0x6323_6B1A_80D0_A88EL, 0x6CA0_787F_5505_406FL, - /* -119 */ 0x4F4F_88E2_00A6_ED3FL, 0x0A19_F9FF_7737_66BFL, - /* -118 */ 0x7EE5_A7D0_010B_1531L, 0x5CF6_5CCB_F1F2_3DFEL, - /* -117 */ 0x6584_8640_00D5_AA8EL, 0x172B_7D6F_F4C1_CB32L, - /* -116 */ 0x5136_D1CC_CD77_BBA4L, 0x78EF_978C_C3CE_3C28L, - /* -115 */ 0x40F8_A7D7_0AC6_2FB7L, 0x13F2_DFA3_CFD8_3020L, - /* -114 */ 0x67F4_3FBE_77A3_7F8BL, 0x3984_9906_1959_E699L, - /* -113 */ 0x5329_CC98_5FB5_FFA2L, 0x6136_E0D1_ADE1_8548L, - /* -112 */ 0x4287_D6E0_4C91_994FL, 0x00F8_B3DA_F181_376DL, - /* -111 */ 0x6A72_F166_E0E8_F54BL, 0x1B27_862B_1C01_F247L, - /* -110 */ 0x5528_C11F_1A53_F76FL, 0x2F52_D1BC_1667_F506L, - /* -109 */ 0x4420_9A7F_4843_2C59L, 0x0C42_4163_451F_F738L, - /* -108 */ 0x6D00_F732_0D38_46F4L, 0x7A03_9BD2_0833_2526L, - /* -107 */ 0x5733_F8F4_D760_38C3L, 0x7B36_1641_A028_EA85L, - /* -106 */ 0x45C3_2D90_AC4C_FA36L, 0x2F5E_7834_8020_BB9EL, - /* -105 */ 0x6F9E_AF4D_E07B_29F0L, 0x4BCA_59ED_99CD_F8FCL, - /* -104 */ 0x594B_BF71_8062_87F3L, 0x563B_7B24_7B0B_2D96L, - /* -103 */ 0x476F_CC5A_CD1B_9FF6L, 0x11C9_2F50_626F_57ACL, - /* -102 */ 0x724C_7A2A_E1C5_CCBDL, 0x02DB_7EE7_03E5_5912L, - /* -101 */ 0x5B70_61BB_E7D1_7097L, 0x1BE2_CBEC_031D_E0DCL, - /* -100 */ 0x4926_B496_530D_F3ACL, 0x164F_0989_9C17_E716L, - /* -99 */ 0x750A_BA8A_1E7C_B913L, 0x3D4B_4275_C68C_A4F0L, - /* -98 */ 0x5DA2_2ED4_E530_940FL, 0x4AA2_9B91_6BA3_B726L, - /* -97 */ 0x4AE8_2577_1DC0_7672L, 0x6EE8_7C74_561C_9285L, - /* -96 */ 0x77D9_D58B_62CD_8A51L, 0x3173_FA53_BCFA_8408L, - /* -95 */ 0x5FE1_77A2_B571_3B74L, 0x278F_FB76_30C8_69A0L, - /* -94 */ 0x4CB4_5FB5_5DF4_2F90L, 0x1FA6_62C4_F3D3_87B3L, - /* -93 */ 0x7ABA_32BB_C986_B280L, 0x32A3_D13B_1FB8_D91FL, - /* -92 */ 0x622E_8EFC_A138_8ECDL, 0x0EE9_742F_4C93_E0E6L, - /* -91 */ 0x4E8B_A596_E760_723DL, 0x58BA_C359_0A0F_E71EL, - /* -90 */ 0x7DAC_3C24_A567_1D2FL, 0x412A_D228_1019_71C9L, - /* -89 */ 0x6489_C9B6_EAB8_E426L, 0x00EF_0E86_7347_8E3BL, - /* -88 */ 0x506E_3AF8_BBC7_1CEBL, 0x1A58_D86B_8F6C_71C9L, - /* -87 */ 0x4058_2F2D_6305_B0BCL, 0x1513_E056_0C56_C16EL, - /* -86 */ 0x66F3_7EAF_04D5_E793L, 0x3B53_0089_AD57_9BE2L, - /* -85 */ 0x525C_6558_D0AB_1FA9L, 0x15DC_006E_2446_164FL, - /* -84 */ 0x41E3_8447_0D55_B2EDL, 0x5E49_99F1_B69E_783FL, - /* -83 */ 0x696C_06D8_1555_EB15L, 0x7D42_8FE9_2430_C065L, - /* -82 */ 0x5456_6BE0_1111_88DEL, 0x3102_0CBA_835A_3384L, - /* -81 */ 0x4378_564C_DA74_6D7EL, 0x5A68_0A2E_CF7B_5C69L, - /* -80 */ 0x6BF3_BD47_C3ED_7BFDL, 0x770C_DD17_B25E_FA42L, - /* -79 */ 0x565C_976C_9CBD_FCCBL, 0x1270_B0DF_C1E5_9502L, - /* -78 */ 0x4516_DF8A_16FE_63D5L, 0x5B8D_5A4C_9B1E_10CEL, - /* -77 */ 0x6E8A_FF43_57FD_6C89L, 0x127B_C3AD_C4FC_E7B0L, - /* -76 */ 0x586F_329C_4664_56D4L, 0x0EC9_6957_D0CA_52F3L, - /* -75 */ 0x46BF_5BB0_3850_4576L, 0x3F07_8779_73D5_0F29L, - /* -74 */ 0x7132_2C4D_26E6_D58AL, 0x31A5_A58F_1FBB_4B75L, - /* -73 */ 0x5A8E_89D7_5252_446EL, 0x5AEA_EAD8_E62F_6F91L, - /* -72 */ 0x4872_07DF_750E_9D25L, 0x2F22_557A_51BF_8C74L, - /* -71 */ 0x73E9_A632_54E4_2EA2L, 0x1836_EF2A_1C65_AD86L, - /* -70 */ 0x5CBA_EB5B_771C_F21BL, 0x2CF8_BF54_E384_8AD2L, - /* -69 */ 0x4A2F_22AF_927D_8E7CL, 0x23FA_32AA_4F9D_3BDBL, - /* -68 */ 0x76B1_D118_EA62_7D93L, 0x5329_EAAA_18FB_92F8L, - /* -67 */ 0x5EF4_A747_21E8_6476L, 0x0F54_BBBB_472F_A8C6L, - /* -66 */ 0x4BF6_EC38_E7ED_1D2BL, 0x25DD_62FC_38F2_ED6CL, - /* -65 */ 0x798B_138E_3FE1_C845L, 0x22FB_D193_8E51_7BDFL, - /* -64 */ 0x613C_0FA4_FFE7_D36AL, 0x4F2F_DADC_71DA_C97FL, - /* -63 */ 0x4DC9_A61D_9986_42BBL, 0x58F3_157D_27E2_3ACCL, - /* -62 */ 0x7C75_D695_C270_6AC5L, 0x74B8_2261_D969_F7ADL, - /* -61 */ 0x6391_7877_CEC0_556BL, 0x1093_4EB4_ADEE_5FBEL, - /* -60 */ 0x4FA7_9393_0BCD_1122L, 0x4075_D890_8B25_1965L, - /* -59 */ 0x7F72_85B8_12E1_B504L, 0x00BC_8DB4_11D4_F56EL, - /* -58 */ 0x65F5_37C6_7581_5D9CL, 0x66FD_3E29_A7DD_9125L, - /* -57 */ 0x5190_F96B_9134_4AE3L, 0x6BFD_CB54_864A_DA84L, - /* -56 */ 0x4140_C789_40F6_A24FL, 0x6FFE_3C43_9EA2_486AL, - /* -55 */ 0x6867_A5A8_67F1_03B2L, 0x7FFD_2D38_FDD0_73DCL, - /* -54 */ 0x5386_1E20_5327_3628L, 0x6664_242D_97D9_F64AL, - /* -53 */ 0x42D1_B1B3_75B8_F820L, 0x51E9_B68A_DFE1_91D5L, - /* -52 */ 0x6AE9_1C52_55F4_C034L, 0x1CA9_2411_6635_B621L, - /* -51 */ 0x5587_49DB_77F7_0029L, 0x63BA_8341_1E91_5E81L, - /* -50 */ 0x446C_3B15_F992_6687L, 0x6962_029A_7EDA_B201L, - /* -49 */ 0x6D79_F823_28EA_3DA6L, 0x0F03_375D_97C4_5001L, - /* -48 */ 0x5794_C682_8721_CAEBL, 0x259C_2C4A_DFD0_4001L, - /* -47 */ 0x4610_9ECE_D281_6F22L, 0x5149_BD08_B30D_0001L, - /* -46 */ 0x701A_97B1_50CF_1837L, 0x3542_C80D_EB48_0001L, - /* -45 */ 0x59AE_DFC1_0D72_79C5L, 0x7768_A00B_22A0_0001L, - /* -44 */ 0x47BF_1967_3DF5_2E37L, 0x7920_8008_E880_0001L, - /* -43 */ 0x72CB_5BD8_6321_E38CL, 0x5B67_3341_7400_0001L, - /* -42 */ 0x5BD5_E313_8281_82D6L, 0x7C52_8F67_9000_0001L, - /* -41 */ 0x4977_E8DC_6867_9BDFL, 0x16A8_72B9_4000_0001L, - /* -40 */ 0x758C_A7C7_0D72_92FEL, 0x5773_EAC2_0000_0001L, - /* -39 */ 0x5E0A_1FD2_7128_7598L, 0x45F6_5568_0000_0001L, - /* -38 */ 0x4B3B_4CA8_5A86_C47AL, 0x04C5_1120_0000_0001L, - /* -37 */ 0x785E_E10D_5DA4_6D90L, 0x07A1_B500_0000_0001L, - /* -36 */ 0x604B_E73D_E483_8AD9L, 0x52E7_C400_0000_0001L, - /* -35 */ 0x4D09_85CB_1D36_08AEL, 0x0F1F_D000_0000_0001L, - /* -34 */ 0x7B42_6FAB_61F0_0DE3L, 0x31CC_8000_0000_0001L, - /* -33 */ 0x629B_8C89_1B26_7182L, 0x5B0A_0000_0000_0001L, - /* -32 */ 0x4EE2_D6D4_15B8_5ACEL, 0x7C08_0000_0000_0001L, - /* -31 */ 0x7E37_BE20_22C0_914BL, 0x1340_0000_0000_0001L, - /* -30 */ 0x64F9_64E6_8233_A76FL, 0x2900_0000_0000_0001L, - /* -29 */ 0x50C7_83EB_9B5C_85F2L, 0x5400_0000_0000_0001L, - /* -28 */ 0x409F_9CBC_7C4A_04C2L, 0x1000_0000_0000_0001L, - /* -27 */ 0x6765_C793_FA10_079DL, 0x0000_0000_0000_0001L, - /* -26 */ 0x52B7_D2DC_C80C_D2E4L, 0x0000_0000_0000_0001L, - /* -25 */ 0x422C_A8B0_A00A_4250L, 0x0000_0000_0000_0001L, - /* -24 */ 0x69E1_0DE7_6676_D080L, 0x0000_0000_0000_0001L, - /* -23 */ 0x54B4_0B1F_852B_DA00L, 0x0000_0000_0000_0001L, - /* -22 */ 0x43C3_3C19_3756_4800L, 0x0000_0000_0000_0001L, - /* -21 */ 0x6C6B_935B_8BBD_4000L, 0x0000_0000_0000_0001L, - /* -20 */ 0x56BC_75E2_D631_0000L, 0x0000_0000_0000_0001L, - /* -19 */ 0x4563_9182_44F4_0000L, 0x0000_0000_0000_0001L, - /* -18 */ 0x6F05_B59D_3B20_0000L, 0x0000_0000_0000_0001L, - /* -17 */ 0x58D1_5E17_6280_0000L, 0x0000_0000_0000_0001L, - /* -16 */ 0x470D_E4DF_8200_0000L, 0x0000_0000_0000_0001L, - /* -15 */ 0x71AF_D498_D000_0000L, 0x0000_0000_0000_0001L, - /* -14 */ 0x5AF3_107A_4000_0000L, 0x0000_0000_0000_0001L, - /* -13 */ 0x48C2_7395_0000_0000L, 0x0000_0000_0000_0001L, - /* -12 */ 0x746A_5288_0000_0000L, 0x0000_0000_0000_0001L, - /* -11 */ 0x5D21_DBA0_0000_0000L, 0x0000_0000_0000_0001L, - /* -10 */ 0x4A81_7C80_0000_0000L, 0x0000_0000_0000_0001L, - /* -9 */ 0x7735_9400_0000_0000L, 0x0000_0000_0000_0001L, - /* -8 */ 0x5F5E_1000_0000_0000L, 0x0000_0000_0000_0001L, - /* -7 */ 0x4C4B_4000_0000_0000L, 0x0000_0000_0000_0001L, - /* -6 */ 0x7A12_0000_0000_0000L, 0x0000_0000_0000_0001L, - /* -5 */ 0x61A8_0000_0000_0000L, 0x0000_0000_0000_0001L, - /* -4 */ 0x4E20_0000_0000_0000L, 0x0000_0000_0000_0001L, - /* -3 */ 0x7D00_0000_0000_0000L, 0x0000_0000_0000_0001L, - /* -2 */ 0x6400_0000_0000_0000L, 0x0000_0000_0000_0001L, - /* -1 */ 0x5000_0000_0000_0000L, 0x0000_0000_0000_0001L, - /* 0 */ 0x4000_0000_0000_0000L, 0x0000_0000_0000_0001L, - /* 1 */ 0x6666_6666_6666_6666L, 0x3333_3333_3333_3334L, - /* 2 */ 0x51EB_851E_B851_EB85L, 0x0F5C_28F5_C28F_5C29L, - /* 3 */ 0x4189_374B_C6A7_EF9DL, 0x5916_872B_020C_49BBL, - /* 4 */ 0x68DB_8BAC_710C_B295L, 0x74F0_D844_D013_A92BL, - /* 5 */ 0x53E2_D623_8DA3_C211L, 0x43F3_E037_0CDC_8755L, - /* 6 */ 0x431B_DE82_D7B6_34DAL, 0x698F_E692_70B0_6C44L, - /* 7 */ 0x6B5F_CA6A_F2BD_215EL, 0x0F4C_A41D_811A_46D4L, - /* 8 */ 0x55E6_3B88_C230_E77EL, 0x3F70_834A_CDAE_9F10L, - /* 9 */ 0x44B8_2FA0_9B5A_52CBL, 0x4C5A_02A2_3E25_4C0DL, - /* 10 */ 0x6DF3_7F67_5EF6_EADFL, 0x2D5C_D103_96A2_1347L, - /* 11 */ 0x57F5_FF85_E592_557FL, 0x3DE3_DA69_454E_75D3L, - /* 12 */ 0x465E_6604_B7A8_4465L, 0x7E4F_E1ED_D10B_9175L, - /* 13 */ 0x7097_09A1_25DA_0709L, 0x4A19_697C_81AC_1BEFL, - /* 14 */ 0x5A12_6E1A_84AE_6C07L, 0x54E1_2130_67BC_E326L, - /* 15 */ 0x480E_BE7B_9D58_566CL, 0x43E7_4DC0_52FD_8285L, - /* 16 */ 0x734A_CA5F_6226_F0ADL, 0x530B_AF9A_1E62_6A6DL, - /* 17 */ 0x5C3B_D519_1B52_5A24L, 0x426F_BFAE_7EB5_21F1L, - /* 18 */ 0x49C9_7747_490E_AE83L, 0x4EBF_CC8B_9890_E7F4L, - /* 19 */ 0x760F_253E_DB4A_B0D2L, 0x4ACC_7A78_F41B_0CBAL, - /* 20 */ 0x5E72_8432_4908_8D75L, 0x223D_2EC7_29AF_3D62L, - /* 21 */ 0x4B8E_D028_3A6D_3DF7L, 0x34FD_BF05_BAF2_9781L, - /* 22 */ 0x78E4_8040_5D7B_9658L, 0x54C9_31A2_C4B7_58CFL, - /* 23 */ 0x60B6_CD00_4AC9_4513L, 0x5D6D_C14F_03C5_E0A5L, - /* 24 */ 0x4D5F_0A66_A23A_9DA9L, 0x3124_9AA5_9C9E_4D51L, - /* 25 */ 0x7BCB_43D7_69F7_62A8L, 0x4EA0_F76F_60FD_4882L, - /* 26 */ 0x6309_0312_BB2C_4EEDL, 0x254D_92BF_80CA_A068L, - /* 27 */ 0x4F3A_68DB_C8F0_3F24L, 0x1DD7_A899_33D5_4D20L, - /* 28 */ 0x7EC3_DAF9_4180_6506L, 0x62F2_A75B_8622_1500L, - /* 29 */ 0x6569_7BFA_9ACD_1D9FL, 0x025B_B916_04E8_10CDL, - /* 30 */ 0x5121_2FFB_AF0A_7E18L, 0x6849_60DE_6A53_40A4L, - /* 31 */ 0x40E7_5996_25A1_FE7AL, 0x203A_B3E5_21DC_33B6L, - /* 32 */ 0x67D8_8F56_A29C_CA5DL, 0x19F7_863B_6960_52BDL, - /* 33 */ 0x5313_A5DE_E87D_6EB0L, 0x7B2C_6B62_BAB3_7564L, - /* 34 */ 0x4276_1E4B_ED31_255AL, 0x2F56_BC4E_FBC2_C450L, - /* 35 */ 0x6A56_96DF_E1E8_3BC3L, 0x6557_93B1_92D1_3A1AL, - /* 36 */ 0x5512_124C_B4B9_C969L, 0x3779_42F4_7574_2E7BL, - /* 37 */ 0x440E_750A_2A2E_3ABAL, 0x5F94_3590_5DF6_8B96L, - /* 38 */ 0x6CE3_EE76_A9E3_912AL, 0x65B9_EF4D_6324_1289L, - /* 39 */ 0x571C_BEC5_54B6_0DBBL, 0x6AFB_25D7_8283_4207L, - /* 40 */ 0x45B0_989D_DD5E_7163L, 0x08C8_EB12_CECF_6806L, - /* 41 */ 0x6F80_F42F_C897_1BD1L, 0x5ADB_11B7_B14B_D9A3L, - /* 42 */ 0x5933_F68C_A078_E30EL, 0x157C_0E2C_8DD6_47B5L, - /* 43 */ 0x475C_C53D_4D2D_8271L, 0x5DFC_D823_A4AB_6C91L, - /* 44 */ 0x722E_0862_1515_9D82L, 0x632E_269F_6DDF_141BL, - /* 45 */ 0x5B58_06B4_DDAA_E468L, 0x4F58_1EE5_F17F_4349L, - /* 46 */ 0x4913_3890_B155_8386L, 0x72AC_E584_C132_9C3BL, - /* 47 */ 0x74EB_8DB4_4EEF_38D7L, 0x6AAE_3C07_9B84_2D2AL, - /* 48 */ 0x5D89_3E29_D8BF_60ACL, 0x5558_3006_1603_5755L, - /* 49 */ 0x4AD4_31BB_13CC_4D56L, 0x7779_C004_DE69_12ABL, - /* 50 */ 0x77B9_E92B_52E0_7BBEL, 0x258F_99A1_63DB_5111L, - /* 51 */ 0x5FC7_EDBC_424D_2FCBL, 0x37A6_1481_1CAF_740DL, - /* 52 */ 0x4C9F_F163_683D_BFD5L, 0x7951_AA00_E3BF_900BL, - /* 53 */ 0x7A99_8238_A6C9_32EFL, 0x754F_7667_D2CC_19ABL, - /* 54 */ 0x6214_682D_523A_8F26L, 0x2AA5_F853_0F09_AE22L, - /* 55 */ 0x4E76_B9BD_DB62_0C1EL, 0x5551_9375_A5A1_581BL, - /* 56 */ 0x7D8A_C2C9_5F03_4697L, 0x3BB5_B8BC_3C35_59C5L, - /* 57 */ 0x646F_023A_B269_0545L, 0x7C91_6096_9691_149EL, - /* 58 */ 0x5058_CE95_5B87_376BL, 0x16DA_B3AB_ABA7_43B2L, - /* 59 */ 0x4047_0BAA_AF9F_5F88L, 0x78AE_F622_EFB9_02F5L, - /* 60 */ 0x66D8_12AA_B298_98DBL, 0x0DE4_BD04_B2C1_9E54L, - /* 61 */ 0x5246_7555_5BAD_4715L, 0x57EA_30D0_8F01_4B76L, - /* 62 */ 0x41D1_F777_7C8A_9F44L, 0x4654_F3DA_0C01_092CL, - /* 63 */ 0x694F_F258_C744_3207L, 0x23BB_1FC3_4668_0EACL, - /* 64 */ 0x543F_F513_D29C_F4D2L, 0x4FC8_E635_D1EC_D88AL, - /* 65 */ 0x4366_5DA9_754A_5D75L, 0x263A_51C4_A7F0_AD3BL, - /* 66 */ 0x6BD6_FC42_5543_C8BBL, 0x56C3_B607_731A_AEC4L, - /* 67 */ 0x5645_969B_7769_6D62L, 0x789C_919F_8F48_8BD0L, - /* 68 */ 0x4504_787C_5F87_8AB5L, 0x46E3_A7B2_D906_D640L, - /* 69 */ 0x6E6D_8D93_CC0C_1122L, 0x3E39_0C51_5B3E_239AL, - /* 70 */ 0x5857_A476_3CD6_741BL, 0x4B60_D6A7_7C31_B615L, - /* 71 */ 0x46AC_8391_CA45_29AFL, 0x55E7_121F_968E_2B44L, - /* 72 */ 0x7114_05B6_106E_A919L, 0x0971_B698_F0E3_786DL, - /* 73 */ 0x5A76_6AF8_0D25_5414L, 0x078E_2BAD_8D82_C6BDL, - /* 74 */ 0x485E_BBF9_A41D_DCDCL, 0x6C71_BC8A_D79B_D231L, - /* 75 */ 0x73CA_C65C_39C9_6161L, 0x2D82_C744_8C2C_8382L, - /* 76 */ 0x5CA2_3849_C7D4_4DE7L, 0x3E02_3903_A356_CF9BL, - /* 77 */ 0x4A1B_603B_0643_7185L, 0x7E68_2D9C_82AB_D949L, - /* 78 */ 0x7692_3391_A39F_1C09L, 0x4A40_48FA_6AAC_8EDBL, - /* 79 */ 0x5EDB_5C74_82E5_B007L, 0x5500_3A61_EEF0_7249L, - /* 80 */ 0x4BE2_B05D_3584_8CD2L, 0x7733_61E7_F259_F507L, - /* 81 */ 0x796A_B3C8_55A0_E151L, 0x3EB8_9CA6_508F_EE71L, - /* 82 */ 0x6122_296D_114D_810DL, 0x7EFA_16EB_73A6_585BL, - /* 83 */ 0x4DB4_EDF0_DAA4_673EL, 0x3261_ABEF_8FB8_46AFL, - /* 84 */ 0x7C54_AFE7_C43A_3ECAL, 0x1D69_1318_E5F3_A44BL, - /* 85 */ 0x6376_F31F_D02E_98A1L, 0x6454_0F47_1E5C_836FL, - /* 86 */ 0x4F92_5C19_7358_7A1BL, 0x0376_729F_4B7D_35F3L, - /* 87 */ 0x7F50_935B_EBC0_C35EL, 0x38BD_8432_1261_EFEBL, - /* 88 */ 0x65DA_0F7C_BC9A_35E5L, 0x13CA_D028_0EB4_BFEFL, - /* 89 */ 0x517B_3F96_FD48_2B1DL, 0x5CA2_4020_0BC3_CCBFL, - /* 90 */ 0x412F_6612_6439_BC17L, 0x63B5_0019_A303_0A33L, - /* 91 */ 0x684B_D683_D38F_9359L, 0x1F88_0029_04D1_A9EAL, - /* 92 */ 0x536F_DECF_DC72_DC47L, 0x32D3_3354_03DA_EE55L, - /* 93 */ 0x42BF_E573_16C2_49D2L, 0x5BDC_2910_0315_8B77L, - /* 94 */ 0x6ACC_A251_BE03_A951L, 0x12F9_DB4C_D1BC_1258L, - /* 95 */ 0x5570_81DA_FE69_5440L, 0x7594_AF70_A7C9_A847L, - /* 96 */ 0x445A_017B_FEBA_A9CDL, 0x4476_F2C0_863A_ED06L, - /* 97 */ 0x6D5C_CF2C_CAC4_42E2L, 0x3A57_EACD_A391_7B3CL, - /* 98 */ 0x577D_728A_3BD0_3581L, 0x7B79_88A4_82DA_C8FDL, - /* 99 */ 0x45FD_F53B_630C_F79BL, 0x15FA_D3B6_CF15_6D97L, - /* 100 */ 0x6FFC_BB92_3814_BF5EL, 0x565E_1F8A_E4EF_15BEL, - /* 101 */ 0x5996_FC74_F9AA_32B2L, 0x11E4_E608_B725_AAFFL, - /* 102 */ 0x47AB_FD2A_6154_F55BL, 0x27EA_51A0_9284_88CCL, - /* 103 */ 0x72AC_C843_CEEE_555EL, 0x7310_829A_8407_4146L, - /* 104 */ 0x5BBD_6D03_0BF1_DDE5L, 0x4273_9BAE_D005_CDD2L, - /* 105 */ 0x4964_5735_A327_E4B7L, 0x4EC2_E2F2_4004_A4A8L, - /* 106 */ 0x756D_5855_D1D9_6DF2L, 0x4AD1_6B1D_333A_A10CL, - /* 107 */ 0x5DF1_1377_DB14_57F5L, 0x2241_227D_C295_4DA3L, - /* 108 */ 0x4B27_42C6_48DD_132AL, 0x4E9A_81FE_3544_3E1CL, - /* 109 */ 0x783E_D13D_4161_B844L, 0x175D_9CC9_EED3_9694L, - /* 110 */ 0x6032_40FD_CDE7_C69CL, 0x7917_B0A1_8BDC_7876L, - /* 111 */ 0x4CF5_00CB_0B1F_D217L, 0x1412_F3B4_6FE3_9392L, - /* 112 */ 0x7B21_9ADE_7832_E9BEL, 0x5351_85ED_7FD2_85B6L, - /* 113 */ 0x6281_48B1_F9C2_5498L, 0x42A7_9E57_9975_37C5L, - /* 114 */ 0x4ECD_D3C1_949B_76E0L, 0x3552_E512_E12A_9304L, - /* 115 */ 0x7E16_1F9C_20F8_BE33L, 0x6EEB_081E_3510_EB39L, - /* 116 */ 0x64DE_7FB0_1A60_9829L, 0x3F22_6CE4_F740_BC2EL, - /* 117 */ 0x50B1_FFC0_151A_1354L, 0x3281_F0B7_2C33_C9BEL, - /* 118 */ 0x408E_6633_4414_DC43L, 0x4201_8D5F_568F_D498L, - /* 119 */ 0x674A_3D1E_D354_939FL, 0x1CCF_4898_8A7F_BA8DL, - /* 120 */ 0x52A1_CA7F_0F76_DC7FL, 0x30A5_D3AD_3B99_620BL, - /* 121 */ 0x421B_0865_A5F8_B065L, 0x73B7_DC8A_9614_4E6FL, - /* 122 */ 0x69C4_DA3C_3CC1_1A3CL, 0x52BF_C744_2353_B0B1L, - /* 123 */ 0x549D_7B63_63CD_AE96L, 0x7566_3903_4F76_26F4L, - /* 124 */ 0x43B1_2F82_B63E_2545L, 0x4451_C735_D92B_525DL, - /* 125 */ 0x6C4E_B26A_BD30_3BA2L, 0x3A1C_71EF_C1DE_EA2EL, - /* 126 */ 0x56A5_5B88_9759_C94EL, 0x61B0_5B26_34B2_54F2L, - /* 127 */ 0x4551_1606_DF7B_0772L, 0x1AF3_7C1E_908E_AA5BL, - /* 128 */ 0x6EE8_233E_325E_7250L, 0x2B1F_2CFD_B417_76F8L, - /* 129 */ 0x58B9_B5CB_5B7E_C1D9L, 0x6F4C_23FE_29AC_5F2DL, - /* 130 */ 0x46FA_F7D5_E2CB_CE47L, 0x72A3_4FFE_87BD_18F1L, - /* 131 */ 0x7191_8C89_6ADF_B073L, 0x0438_7FFD_A5FB_5B1BL, - /* 132 */ 0x5ADA_D6D4_557F_C05CL, 0x0360_6664_84C9_15AFL, - /* 133 */ 0x48AF_1243_7799_66B0L, 0x02B3_851D_3707_448CL, - /* 134 */ 0x744B_506B_F28F_0AB3L, 0x1DEC_082E_BE72_0746L, - /* 135 */ 0x5D09_0D23_2872_6EF5L, 0x64BC_D358_985B_3905L, - /* 136 */ 0x4A6D_A41C_205B_8BF7L, 0x6A30_A913_AD15_C738L, - /* 137 */ 0x7715_D360_33C5_ACBFL, 0x5D1A_A81F_7B56_0B8CL, - /* 138 */ 0x5F44_A919_C304_8A32L, 0x7DAE_ECE5_FC44_D609L, - /* 139 */ 0x4C36_EDAE_359D_3B5BL, 0x7E25_8A51_969D_7808L, - /* 140 */ 0x79F1_7C49_EF61_F893L, 0x16A2_76E8_F0FB_F33FL, - /* 141 */ 0x618D_FD07_F2B4_C6DCL, 0x121B_9253_F3FC_C299L, - /* 142 */ 0x4E0B_30D3_2890_9F16L, 0x41AF_A843_2997_0214L, - /* 143 */ 0x7CDE_B485_0DB4_31BDL, 0x4F7F_739E_A8F1_9CEDL, - /* 144 */ 0x63E5_5D37_3E29_C164L, 0x3F99_294B_BA5A_E3F1L, - /* 145 */ 0x4FEA_B0F8_FE87_CDE9L, 0x7FAD_BAA2_FB7B_E98DL, - /* 146 */ 0x7FDD_E7F4_CA72_E30FL, 0x7F7C_5DD1_925F_DC15L, - /* 147 */ 0x664B_1FF7_085B_E8D9L, 0x4C63_7E41_41E6_49ABL, - /* 148 */ 0x51D5_B32C_06AF_ED7AL, 0x704F_9834_34B8_3AEFL, - /* 149 */ 0x4177_C289_9EF3_2462L, 0x26A6_135C_F6F9_C8BFL, - /* 150 */ 0x68BF_9DA8_FE51_D3D0L, 0x3DD6_8561_8B29_4132L, - /* 151 */ 0x53CC_7E20_CB74_A973L, 0x4B12_044E_08ED_CDC2L, - /* 152 */ 0x4309_FE80_A2C3_BAC2L, 0x6F41_9D0B_3A57_D7CEL, - /* 153 */ 0x6B43_30CD_D139_2AD1L, 0x3202_94DE_C3BF_BFB0L, - /* 154 */ 0x55CF_5A3E_40FA_88A7L, 0x419B_AA4B_CFCC_995AL, - /* 155 */ 0x44A5_E1CB_672E_D3B9L, 0x1AE2_EEA3_0CA3_ADE1L, - /* 156 */ 0x6DD6_3612_3EB1_52C1L, 0x77D1_7DD1_ADD2_AFCFL, - /* 157 */ 0x57DE_91A8_3227_7567L, 0x7974_64A7_BE42_263FL, - /* 158 */ 0x464B_A7B9_C1B9_2AB9L, 0x4790_5086_31CE_84FFL, - /* 159 */ 0x7079_0C5C_6928_445CL, 0x0C1A_1A70_4FB0_D4CCL, - /* 160 */ 0x59FA_7049_EDB9_D049L, 0x567B_4859_D95A_43D6L, - /* 161 */ 0x47FB_8D07_F161_736EL, 0x11FC_39E1_7AAE_9CABL, - /* 162 */ 0x732C_14D9_8235_857DL, 0x032D_2968_C44A_9445L, - /* 163 */ 0x5C23_43E1_34F7_9DFDL, 0x4F57_5453_D03B_A9D1L, - /* 164 */ 0x49B5_CFE7_5D92_E4CAL, 0x72AC_4376_402F_BB0EL, - /* 165 */ 0x75EF_B30B_C8EB_07ABL, 0x0446_D256_CD19_2B49L, - /* 166 */ 0x5E59_5C09_6D88_D2EFL, 0x1D05_7512_3DAD_BC3AL, - /* 167 */ 0x4B7A_B007_8AD3_DBF2L, 0x4A6A_C40E_97BE_302FL, - /* 168 */ 0x78C4_4CD8_DE1F_C650L, 0x7711_39B0_F2C9_E6B1L, - /* 169 */ 0x609D_0A47_1819_6B73L, 0x78DA_948D_8F07_EBC1L, - /* 170 */ 0x4D4A_6E9F_467A_BC5CL, 0x60AE_DD3E_0C06_5634L, - /* 171 */ 0x7BAA_4A98_70C4_6094L, 0x344A_FB96_79A3_BD20L, - /* 172 */ 0x62EE_A213_8D69_E6DDL, 0x103B_FC78_614F_CA80L, - /* 173 */ 0x4F25_4E76_0ABB_1F17L, 0x2696_6393_810C_A200L, - /* 174 */ 0x7EA2_1723_445E_9825L, 0x2423_D285_9B47_6999L, - /* 175 */ 0x654E_78E9_037E_E01DL, 0x69B6_4204_7C39_2148L, - /* 176 */ 0x510B_93ED_9C65_8017L, 0x6E2B_6803_9694_1AA0L, - /* 177 */ 0x40D6_0FF1_49EA_CCDFL, 0x71BC_5336_1210_154DL, - /* 178 */ 0x67BC_E64E_DCAA_E166L, 0x1C60_8523_5019_BBAEL, - /* 179 */ 0x52FD_850B_E3BB_E784L, 0x7D1A_041C_4014_9625L, - /* 180 */ 0x4264_6A6F_E963_1F9DL, 0x4A7B_367D_0010_781DL, - /* 181 */ 0x6A3A_43E6_4238_3295L, 0x5D91_F0C8_001A_59C8L, - /* 182 */ 0x54FB_6985_01C6_8EDEL, 0x17A7_F3D3_3348_47D4L, - /* 183 */ 0x43FC_546A_67D2_0BE4L, 0x7953_2975_C2A0_3976L, - /* 184 */ 0x6CC6_ED77_0C83_463BL, 0x0EEB_7589_3766_C256L, - /* 185 */ 0x5705_8AC5_A39C_382FL, 0x2589_2AD4_2C52_3512L, - /* 186 */ 0x459E_089E_1C7C_F9BFL, 0x37A0_EF10_2374_F742L, - /* 187 */ 0x6F63_40FC_FA61_8F98L, 0x5901_7E80_38BB_2536L, - /* 188 */ 0x591C_33FD_951A_D946L, 0x7A67_9866_93C8_EA91L, - /* 189 */ 0x4749_C331_4415_7A9FL, 0x151F_AD1E_DCA0_BBA8L, - /* 190 */ 0x720F_9EB5_39BB_F765L, 0x0832_AE97_C767_92A5L, - /* 191 */ 0x5B3F_B22A_9496_5F84L, 0x068E_F213_05EC_7551L, - /* 192 */ 0x48FF_C1BB_AA11_E603L, 0x1ED8_C1A8_D189_F774L, - /* 193 */ 0x74CC_692C_434F_D66BL, 0x4AF4_690E_1C0F_F253L, - /* 194 */ 0x5D70_5423_690C_AB89L, 0x225D_20D8_1673_2843L, - /* 195 */ 0x4AC0_434F_873D_5607L, 0x3517_4D79_AB8F_5369L, - /* 196 */ 0x779A_054C_0B95_5672L, 0x21BE_E25C_45B2_1F0EL, - /* 197 */ 0x5FAE_6AA3_3C77_785BL, 0x3498_B516_9E28_18D8L, - /* 198 */ 0x4C8B_8882_96C5_F9E2L, 0x5D46_F745_4B53_4713L, - /* 199 */ 0x7A78_DA6A_8AD6_5C9DL, 0x7BA4_BED5_4552_0B52L, - /* 200 */ 0x61FA_4855_3BDE_B07EL, 0x2FB6_FF11_0441_A2A8L, - /* 201 */ 0x4E61_D377_6318_8D31L, 0x72F8_CC0D_9D01_4EEDL, - /* 202 */ 0x7D69_5258_9E8D_AEB6L, 0x1E5A_E015_C802_17E1L, - /* 203 */ 0x6454_41E0_7ED7_BEF8L, 0x1848_B344_A001_ACB4L, - /* 204 */ 0x5043_67E6_CBDF_CBF9L, 0x603A_2903_B334_8A2AL, - /* 205 */ 0x4035_ECB8_A319_6FFBL, 0x002E_8736_28F6_D4EEL, - /* 206 */ 0x66BC_ADF4_3828_B32BL, 0x19E4_0B89_DB24_87E3L, - /* 207 */ 0x5230_8B29_C686_F5BCL, 0x14B6_6FA1_7C1D_3983L, - /* 208 */ 0x41C0_6F54_9ED2_5E30L, 0x1091_F2E7_967D_C79CL, - /* 209 */ 0x6933_E554_3150_96B3L, 0x341C_B7D8_F0C9_3F5FL, - /* 210 */ 0x5429_8443_5AA6_DEF5L, 0x767D_5FE0_C0A0_FF80L, - /* 211 */ 0x4354_69CF_7BB8_B25EL, 0x2B97_7FE7_0080_CC66L, - /* 212 */ 0x6BBA_42E5_92C1_1D63L, 0x5F58_CCA4_CD9A_E0A3L, - /* 213 */ 0x562E_9BEA_DBCD_B11CL, 0x4C47_0A1D_7148_B3B6L, - /* 214 */ 0x44F2_1655_7CA4_8DB0L, 0x3D05_A1B1_276D_5C92L, - /* 215 */ 0x6E50_23BB_FAA0_E2B3L, 0x7B3C_35E8_3F15_60E9L, - /* 216 */ 0x5840_1C96_621A_4EF6L, 0x2F63_5E53_65AA_B3EDL, - /* 217 */ 0x4699_B078_4E7B_725EL, 0x591C_4B75_EAEE_F658L, - /* 218 */ 0x70F5_E726_E3F8_B6FDL, 0x74FA_1256_44B1_8A26L, - /* 219 */ 0x5A5E_5285_832D_5F31L, 0x43FB_41DE_9D5A_D4EBL, - /* 220 */ 0x484B_7537_9C24_4C27L, 0x4FFC_34B2_177B_DD89L, - /* 221 */ 0x73AB_EEBF_603A_1372L, 0x4CC6_BAB6_8BF9_6274L, - /* 222 */ 0x5C89_8BCC_4CFB_42C2L, 0x0A38_955E_D661_1B90L, - /* 223 */ 0x4A07_A309_D72F_689BL, 0x21C6_DDE5_784D_AFA7L, - /* 224 */ 0x7672_9E76_2518_A75EL, 0x693E_2FD5_8D49_190BL, - /* 225 */ 0x5EC2_185E_8413_B918L, 0x5431_BFDE_0AA0_E0D5L, - /* 226 */ 0x4BCE_79E5_3676_2DADL, 0x29C1_664B_3BB3_E711L, - /* 227 */ 0x794A_5CA1_F0BD_15E2L, 0x0F9B_D6DE_C5EC_A4E8L, - /* 228 */ 0x6108_4A1B_26FD_AB1BL, 0x2616_457F_04BD_50BAL, - /* 229 */ 0x4DA0_3B48_EBFE_227CL, 0x1E78_3798_D097_73C8L, - /* 230 */ 0x7C33_920E_4663_6A60L, 0x30C0_58F4_80F2_52D9L, - /* 231 */ 0x635C_74D8_384F_884DL, 0x0D66_AD90_6728_4247L, - /* 232 */ 0x4F7D_2A46_9372_D370L, 0x711E_F140_5286_9B6CL, - /* 233 */ 0x7F2E_AA0A_8584_8581L, 0x34FE_4ECD_50D7_5F14L, - /* 234 */ 0x65BE_EE6E_D136_D134L, 0x2A65_0BD7_73DF_7F43L, - /* 235 */ 0x5165_8B8B_DA92_40F6L, 0x551D_A312_C319_329CL, - /* 236 */ 0x411E_093C_AEDB_672BL, 0x5DB1_4F42_35AD_C217L, - /* 237 */ 0x6830_0EC7_7E2B_D845L, 0x7C4E_E536_BC49_368AL, - /* 238 */ 0x5359_A56C_64EF_E037L, 0x7D0B_EA92_303A_9208L, - /* 239 */ 0x42AE_1DF0_50BF_E693L, 0x173C_BBA8_2695_41A0L, - /* 240 */ 0x6AB0_2FE6_E799_70EBL, 0x3EC7_92A6_A422_029AL, - /* 241 */ 0x5559_BFEB_EC7A_C0BCL, 0x3239_421E_E9B4_CEE1L, - /* 242 */ 0x4447_CCBC_BD2F_0096L, 0x5B61_01B2_5490_A581L, - /* 243 */ 0x6D3F_ADFA_C84B_3424L, 0x2BCE_691D_541A_A268L, - /* 244 */ 0x5766_24C8_A03C_29B6L, 0x563E_BA7D_DCE2_1B87L, - /* 245 */ 0x45EB_50A0_8030_215EL, 0x7832_2ECB_171B_4939L, - /* 246 */ 0x6FDE_E767_3380_3564L, 0x59E9_E478_24F8_7527L, - /* 247 */ 0x597F_1F85_C2CC_F783L, 0x6187_E9F9_B72D_2A86L, - /* 248 */ 0x4798_E604_9BD7_2C69L, 0x346C_BB2E_2C24_2205L, - /* 249 */ 0x728E_3CD4_2C8B_7A42L, 0x20AD_F849_E039_D007L, - /* 250 */ 0x5BA4_FD76_8A09_2E9BL, 0x33BE_603B_19C7_D99FL, - /* 251 */ 0x4950_CAC5_3B3A_8BAFL, 0x42FE_B362_7B06_47B3L, - /* 252 */ 0x754E_113B_91F7_45E5L, 0x5197_856A_5E70_72B8L, - /* 253 */ 0x5DD8_0DC9_4192_9E51L, 0x27AC_6ABB_7EC0_5BC6L, - /* 254 */ 0x4B13_3E3A_9ADB_B1DAL, 0x52F0_5562_CBCD_1638L, - /* 255 */ 0x781E_C9F7_5E2C_4FC4L, 0x1E4D_556A_DFAE_89F3L, - /* 256 */ 0x6018_A192_B1BD_0C9CL, 0x7EA4_4455_7FBE_D4C3L, - /* 257 */ 0x4CE0_8142_27CA_707DL, 0x4BB6_9D11_32FF_109CL, - /* 258 */ 0x7B00_CED0_3FAA_4D95L, 0x5F8A_94E8_5198_1A93L, - /* 259 */ 0x6267_0BD9_CC88_3E11L, 0x32D5_43ED_0E13_4875L, - /* 260 */ 0x4EB8_D647_D6D3_64DAL, 0x5BDD_CFF0_D80F_6D2BL, - /* 261 */ 0x7DF4_8A0C_8AEB_D491L, 0x12FC_7FE7_C018_AEABL, - /* 262 */ 0x64C3_A1A3_A256_43A7L, 0x28C9_FFEC_99AD_5889L, - /* 263 */ 0x509C_814F_B511_CFB9L, 0x0707_FFF0_7AF1_13A1L, - /* 264 */ 0x407D_343F_C40E_3FC7L, 0x1F39_998D_2F27_42E7L, - /* 265 */ 0x672E_B9FF_A016_CC71L, 0x7EC2_8F48_4B72_04A4L, - /* 266 */ 0x528B_C7FF_B345_705BL, 0x189B_A5D3_6F8E_6A1DL, - /* 267 */ 0x4209_6CCC_8F6A_C048L, 0x7A16_1E42_BFA5_21B1L, - /* 268 */ 0x69A8_AE14_18AA_CD41L, 0x4356_96D1_32A1_CF81L, - /* 269 */ 0x5486_F1A9_AD55_7101L, 0x1C45_4574_2881_72CEL, - /* 270 */ 0x439F_27BA_F111_2734L, 0x169D_D129_BA01_28A5L, - /* 271 */ 0x6C31_D92B_1B4E_A520L, 0x242F_B50F_9001_DAA1L, - /* 272 */ 0x568E_4755_AF72_1DB3L, 0x368C_90D9_4001_7BB4L, - /* 273 */ 0x453E_9F77_BF8E_7E29L, 0x120A_0D7A_999A_C95DL, - /* 274 */ 0x6ECA_98BF_98E3_FD0EL, 0x5010_1590_F5C4_7561L, - /* 275 */ 0x58A2_13CC_7A4F_FDA5L, 0x2673_4473_F7D0_5DE8L, - /* 276 */ 0x46E8_0FD6_C83F_FE1DL, 0x6B8F_69F6_5FD9_E4B9L, - /* 277 */ 0x7173_4C8A_D9FF_FCFCL, 0x45B2_4323_CC8F_D45CL, - /* 278 */ 0x5AC2_A3A2_47FF_FD96L, 0x6AF5_0283_0A0C_A9E3L, - /* 279 */ 0x489B_B61B_6CCC_CADFL, 0x08C4_0202_6E70_87E9L, - /* 280 */ 0x742C_5692_47AE_1164L, 0x746C_D003_E3E7_3FDBL, - /* 281 */ 0x5CF0_4541_D2F1_A783L, 0x76BD_7336_4FEC_3315L, - /* 282 */ 0x4A59_D101_758E_1F9CL, 0x5EFD_F5C5_0CBC_F5ABL, - /* 283 */ 0x76F6_1B35_88E3_65C7L, 0x4B2F_EFA1_ADFB_22ABL, - /* 284 */ 0x5F2B_48F7_A0B5_EB06L, 0x08F3_261A_F195_B555L, - /* 285 */ 0x4C22_A0C6_1A2B_226BL, 0x20C2_84E2_5ADE_2AABL, - /* 286 */ 0x79D1_013C_F6AB_6A45L, 0x1AD0_D49D_5E30_4444L, - /* 287 */ 0x6174_00FD_9222_BB6AL, 0x48A7_107D_E4F3_69D0L, - /* 288 */ 0x4DF6_6731_41B5_62BBL, 0x53B8_D9FE_50C2_BB0DL, - /* 289 */ 0x7CBD_71E8_6922_3792L, 0x52C1_5CCA_1AD1_2B48L, - /* 290 */ 0x63CA_C186_BA81_C60EL, 0x7567_7D6E_7BDA_8906L, - /* 291 */ 0x4FD5_679E_FB9B_04D8L, 0x5DEC_6458_6315_3A6CL, - /* 292 */ 0x7FBB_D8FE_5F5E_6E27L, 0x497A_3A27_04EE_C3DFL, + 0x4F0C_EDC9_5A71_8DD4L, 0x5B01_E8B0_9AA0_D1B5L, // -324 + 0x7E7B_160E_F71C_1621L, 0x119C_A780_F767_B5EEL, // -323 + 0x652F_44D8_C5B0_11B4L, 0x0E16_EC67_2C52_F7F2L, // -322 + 0x50F2_9D7A_37C0_0E29L, 0x5812_56B8_F042_5FF5L, // -321 + 0x40C2_1794_F966_71BAL, 0x79A8_4560_C035_1991L, // -320 + 0x679C_F287_F570_B5F7L, 0x75DA_089A_CD21_C281L, // -319 + 0x52E3_F539_9126_F7F9L, 0x44AE_6D48_A41B_0201L, // -318 + 0x424F_F761_40EB_F994L, 0x36F1_F106_E9AF_34CDL, // -317 + 0x6A19_8BCE_CE46_5C20L, 0x57E9_81A4_A918_547BL, // -316 + 0x54E1_3CA5_71D1_E34DL, 0x2CBA_CE1D_5413_76C9L, // -315 + 0x43E7_63B7_8E41_82A4L, 0x23C8_A4E4_4342_C56EL, // -314 + 0x6CA5_6C58_E39C_043AL, 0x060D_D4A0_6B9E_08B0L, // -313 + 0x56EA_BD13_E949_9CFBL, 0x1E71_76E6_BC7E_6D59L, // -312 + 0x4588_9743_2107_B0C8L, 0x7EC1_2BEB_C9FE_BDE1L, // -311 + 0x6F40_F205_01A5_E7A7L, 0x7E01_DFDF_A997_9635L, // -310 + 0x5900_C19D_9AEB_1FB9L, 0x4B34_B319_5479_44F7L, // -309 + 0x4733_CE17_AF22_7FC7L, 0x55C3_C27A_A9FA_9D93L, // -308 + 0x71EC_7CF2_B1D0_CC72L, 0x5606_03F7_765D_C8EAL, // -307 + 0x5B23_9728_8E40_A38EL, 0x7804_CFF9_2B7E_3A55L, // -306 + 0x48E9_45BA_0B66_E93FL, 0x1337_0CC7_55FE_9511L, // -305 + 0x74A8_6F90_123E_41FEL, 0x51F1_AE0B_BCCA_881BL, // -304 + 0x5D53_8C73_41CB_67FEL, 0x74C1_5809_63D5_39AFL, // -303 + 0x4AA9_3D29_016F_8665L, 0x43CD_E007_8310_FAF3L, // -302 + 0x7775_2EA8_024C_0A3CL, 0x0616_333F_381B_2B1EL, // -301 + 0x5F90_F220_01D6_6E96L, 0x3811_C298_F9AF_55B1L, // -300 + 0x4C73_F4E6_67DE_BEDEL, 0x600E_3547_2E25_DE28L, // -299 + 0x7A53_2170_A631_3164L, 0x3349_EED8_49D6_303FL, // -298 + 0x61DC_1AC0_84F4_2783L, 0x42A1_8BE0_3B11_C033L, // -297 + 0x4E49_AF00_6A5C_EC69L, 0x1BB4_6FE6_95A7_CCF5L, // -296 + 0x7D42_B19A_43C7_E0A8L, 0x2C53_E63D_BC3F_AE55L, // -295 + 0x6435_5AE1_CFD3_1A20L, 0x2376_51CA_FCFF_BEAAL, // -294 + 0x502A_AF1B_0CA8_E1B3L, 0x35F8_416F_30CC_9888L, // -293 + 0x4022_25AF_3D53_E7C2L, 0x5E60_3458_F3D6_E06DL, // -292 + 0x669D_0918_621F_D937L, 0x4A33_86F4_B957_CD7BL, // -291 + 0x5217_3A79_E819_7A92L, 0x6E8F_9F2A_2DDF_D796L, // -290 + 0x41AC_2EC7_ECE1_2EDBL, 0x720C_7F54_F17F_DFABL, // -289 + 0x6913_7E0C_AE35_17C6L, 0x1CE0_CBBB_1BFF_CC45L, // -288 + 0x540F_980A_24F7_4638L, 0x171A_3C95_AFFF_D69EL, // -287 + 0x433F_ACD4_EA5F_6B60L, 0x127B_63AA_F333_1218L, // -286 + 0x6B99_1487_DD65_7899L, 0x6A5F_05DE_51EB_5026L, // -285 + 0x5614_106C_B11D_FA14L, 0x5518_D17E_A7EF_7352L, // -284 + 0x44DC_D9F0_8DB1_94DDL, 0x2A7A_4132_1FF2_C2A8L, // -283 + 0x6E2E_2980_E2B5_BAFBL, 0x5D90_6850_331E_043FL, // -282 + 0x5824_EE00_B55E_2F2FL, 0x6473_86A6_8F4B_3699L, // -281 + 0x4683_F19A_2AB1_BF59L, 0x36C2_D21E_D908_F87BL, // -280 + 0x70D3_1C29_DDE9_3228L, 0x579E_1CFE_280E_5A5DL, // -279 + 0x5A42_7CEE_4B20_F4EDL, 0x2C7E_7D98_200B_7B7EL, // -278 + 0x4835_30BE_A280_C3F1L, 0x09FE_CAE0_19A2_C932L, // -277 + 0x7388_4DFD_D0CE_064EL, 0x4331_4499_C29E_0EB6L, // -276 + 0x5C6D_0B31_73D8_050BL, 0x4F5A_9D47_CEE4_D891L, // -275 + 0x49F0_D5C1_2979_9DA2L, 0x72AE_E439_7250_AD41L, // -274 + 0x764E_22CE_A8C2_95D1L, 0x377E_39F5_83B4_4868L, // -273 + 0x5EA4_E8A5_53CE_DE41L, 0x12CB_6191_3629_D387L, // -272 + 0x4BB7_2084_430B_E500L, 0x756F_8140_F821_7605L, // -271 + 0x7925_00D3_9E79_6E67L, 0x6F18_CECE_59CF_233CL, // -270 + 0x60EA_670F_B1FA_BEB9L, 0x3F47_0BD8_47D8_E8FDL, // -269 + 0x4D88_5272_F4C8_9894L, 0x329F_3CAD_0647_20CAL, // -268 + 0x7C0D_50B7_EE0D_C0EDL, 0x3765_2DE1_A3A5_0143L, // -267 + 0x633D_DA2C_BE71_6724L, 0x2C50_F181_4FB7_3436L, // -266 + 0x4F64_AE8A_31F4_5283L, 0x3D0D_8E01_0C92_902BL, // -265 + 0x7F07_7DA9_E986_EA6BL, 0x7B48_E334_E0EA_8045L, // -264 + 0x659F_97BB_2138_BB89L, 0x4907_1C2A_4D88_669DL, // -263 + 0x514C_7962_80FA_2FA1L, 0x20D2_7CEE_A46D_1EE4L, // -262 + 0x4109_FAB5_33FB_594DL, 0x670E_CA58_838A_7F1DL, // -261 + 0x680F_F788_532B_C216L, 0x0B4A_DD5A_6C10_CB62L, // -260 + 0x533F_F939_DC23_01ABL, 0x22A2_4AAE_BCDA_3C4EL, // -259 + 0x4299_942E_49B5_9AEFL, 0x354E_A225_63E1_C9D8L, // -258 + 0x6A8F_537D_42BC_2B18L, 0x554A_9D08_9FCF_A95AL, // -257 + 0x553F_75FD_CEFC_EF46L, 0x776E_E406_E63F_BAAEL, // -256 + 0x4432_C4CB_0BFD_8C38L, 0x5F8B_E99F_1E99_6225L, // -255 + 0x6D1E_07AB_4662_79F4L, 0x3279_75CB_6428_9D08L, // -254 + 0x574B_3955_D1E8_6190L, 0x2861_2B09_1CED_4A6DL, // -253 + 0x45D5_C777_DB20_4E0DL, 0x06B4_226D_B0BD_D524L, // -252 + 0x6FBC_7259_5E9A_167BL, 0x2453_6A49_1AC9_5506L, // -251 + 0x5963_8EAD_E548_11FCL, 0x1D0F_883A_7BD4_4405L, // -250 + 0x4782_D88B_1DD3_4196L, 0x4A72_D361_FCA9_D004L, // -249 + 0x726A_F411_C952_028AL, 0x43EA_EBCF_FAA9_4CD3L, // -248 + 0x5B88_C341_6DDB_353BL, 0x4FEF_230C_C887_70A9L, // -247 + 0x493A_35CD_F17C_2A96L, 0x0CBF_4F3D_6D39_26EEL, // -246 + 0x7529_EFAF_E8C6_AA89L, 0x6132_1862_485B_717CL, // -245 + 0x5DBB_2626_53D2_2207L, 0x675B_46B5_06AF_8DFDL, // -244 + 0x4AFC_1E85_0FDB_4E6CL, 0x52AF_6BC4_0559_3E64L, // -243 + 0x77F9_CA6E_7FC5_4A47L, 0x377F_12D3_3BC1_FD6DL, // -242 + 0x5FFB_0858_6637_6E9FL, 0x45FF_4242_9634_CABDL, // -241 + 0x4CC8_D379_EB5F_8BB2L, 0x6B32_9B68_782A_3BCBL, // -240 + 0x7ADA_EBF6_4565_AC51L, 0x2B84_2BDA_59DD_2C77L, // -239 + 0x6248_BCC5_0451_56A7L, 0x3C69_BCAE_AE4A_89F9L, // -238 + 0x4EA0_9704_0374_4552L, 0x6387_CA25_583B_A194L, // -237 + 0x7DCD_BE6C_D253_A21EL, 0x05A6_103B_C05F_68EDL, // -236 + 0x64A4_9857_0EA9_4E7EL, 0x37B8_0CFC_99E5_ED8AL, // -235 + 0x5083_AD12_7221_0B98L, 0x2C93_3D96_E184_BE08L, // -234 + 0x4069_5741_F4E7_3C79L, 0x7075_CADF_1AD0_9807L, // -233 + 0x670E_F203_2171_FA5CL, 0x4D89_4498_2AE7_59A4L, // -232 + 0x5272_5B35_B45B_2EB0L, 0x3E07_6A13_5585_E150L, // -231 + 0x41F5_15C4_9048_F226L, 0x64D2_BB42_AAD1_810DL, // -230 + 0x6988_22D4_1A0E_503EL, 0x07B7_9204_4482_6815L, // -229 + 0x546C_E8A9_AE71_D9CBL, 0x1FC6_0E69_D068_5344L, // -228 + 0x438A_53BA_F1F4_AE3CL, 0x196B_3EBB_0D20_429DL, // -227 + 0x6C10_85F7_E987_7D2DL, 0x0F11_FDF8_1500_6A94L, // -226 + 0x5673_9E5F_EE05_FDBDL, 0x58DB_3193_4400_5543L, // -225 + 0x4529_4B7F_F19E_6497L, 0x60AF_5ADC_3666_AA9CL, // -224 + 0x6EA8_78CC_B5CA_3A8CL, 0x344B_C493_8A3D_DDC7L, // -223 + 0x5886_C70A_2B08_2ED6L, 0x5D09_6A0F_A1CB_17D2L, // -222 + 0x46D2_38D4_EF39_BF12L, 0x173A_BB3F_B4A2_7975L, // -221 + 0x7150_5AEE_4B8F_981DL, 0x0B91_2B99_2103_F588L, // -220 + 0x5AA6_AF25_093F_ACE4L, 0x0940_EFAD_B403_2AD3L, // -219 + 0x4885_58EA_6DCC_8A50L, 0x0767_2624_9002_88A9L, // -218 + 0x7408_8E43_E2E0_DD4CL, 0x723E_A36D_B337_410EL, // -217 + 0x5CD3_A503_1BE7_1770L, 0x5B65_4F8A_F5C5_CDA5L, // -216 + 0x4A42_EA68_E31F_45F3L, 0x62B7_72D5_916B_0AEBL, // -215 + 0x76D1_770E_3832_0986L, 0x0458_B7BC_1BDE_77DDL, // -214 + 0x5F0D_F8D8_2CF4_D46BL, 0x1D13_C630_164B_9318L, // -213 + 0x4C0B_2D79_BD90_A9EFL, 0x30DC_9E8C_DEA2_DC13L, // -212 + 0x79AB_7BF5_FC1A_A97FL, 0x0160_FDAE_3104_9351L, // -211 + 0x6155_FCC4_C9AE_EDFFL, 0x1AB3_FE24_F403_A90EL, // -210 + 0x4DDE_63D0_A158_BE65L, 0x6229_981D_9002_EDA5L, // -209 + 0x7C97_061A_9BC1_30A2L, 0x69DC_2695_B337_E2A1L, // -208 + 0x63AC_04E2_1634_26E8L, 0x54B0_1EDE_28F9_821BL, // -207 + 0x4FBC_D0B4_DE90_1F20L, 0x43C0_18B1_BA61_34E2L, // -206 + 0x7F94_8121_6419_CB67L, 0x1F99_C11C_5D68_549DL, // -205 + 0x6610_674D_E9AE_3C52L, 0x4C7B_00E3_7DED_107EL, // -204 + 0x51A6_B90B_2158_3042L, 0x09FC_00B5_FE57_4065L, // -203 + 0x4152_2DA2_8113_59CEL, 0x3B30_0091_9845_CD1DL, // -202 + 0x6883_7C37_34EB_C2E3L, 0x784C_CDB5_C06F_AE95L, // -201 + 0x539C_635F_5D89_68B6L, 0x2D0A_3E2B_0059_5877L, // -200 + 0x42E3_82B2_B13A_BA2BL, 0x3DA1_CB55_99E1_1393L, // -199 + 0x6B05_9DEA_B52A_C378L, 0x629C_7888_F634_EC1EL, // -198 + 0x559E_17EE_F755_692DL, 0x3549_FA07_2B5D_89B1L, // -197 + 0x447E_798B_F911_20F1L, 0x1107_FB38_EF7E_07C1L, // -196 + 0x6D97_28DF_F4E8_34B5L, 0x01A6_5EC1_7F30_0C68L, // -195 + 0x57AC_20B3_2A53_5D5DL, 0x4E1E_B234_65C0_09EDL, // -194 + 0x4623_4D5C_21DC_4AB1L, 0x24E5_5B5D_1E33_3B24L, // -193 + 0x7038_7BC6_9C93_AAB5L, 0x216E_F894_FD1E_C506L, // -192 + 0x59C6_C96B_B076_222AL, 0x4DF2_6077_30E5_6A6CL, // -191 + 0x47D2_3ABC_8D2B_4E88L, 0x3E5B_805F_5A51_21F0L, // -190 + 0x72E9_F794_1512_1740L, 0x63C5_9A32_2A1B_697FL, // -189 + 0x5BEE_5FA9_AA74_DF67L, 0x0304_7B5B_54E2_BACCL, // -188 + 0x498B_7FBA_EEC3_E5ECL, 0x0269_FC49_10B5_623DL, // -187 + 0x75AB_FF91_7E06_3CACL, 0x6A43_2D41_B455_69FBL, // -186 + 0x5E23_32DA_CB38_308AL, 0x21CF_5767_C377_87FCL, // -185 + 0x4B4F_5BE2_3C2C_F3A1L, 0x67D9_12B9_692C_6CCAL, // -184 + 0x787E_F969_F9E1_85CFL, 0x595B_5128_A847_1476L, // -183 + 0x6065_9454_C7E7_9E3FL, 0x6115_DA86_ED05_A9F8L, // -182 + 0x4D1E_1043_D31F_B1CCL, 0x4DAB_1538_BD9E_2193L, // -181 + 0x7B63_4D39_51CC_4FADL, 0x62AB_5527_95C9_CF52L, // -180 + 0x62B5_D761_0E3D_0C8BL, 0x0222_AA86_116E_3F75L, // -179 + 0x4EF7_DF80_D830_D6D5L, 0x4E82_2204_DABE_992AL, // -178 + 0x7E59_659A_F381_57BCL, 0x1736_9CD4_9130_F510L, // -177 + 0x6514_5148_C2CD_DFC9L, 0x5F5E_E3DD_40F3_F740L, // -176 + 0x50DD_0DD3_CF0B_196EL, 0x1918_B64A_9A5C_C5CDL, // -175 + 0x40B0_D7DC_A5A2_7ABEL, 0x4746_F83B_AEB0_9E3EL, // -174 + 0x6781_5961_0903_F797L, 0x253E_59F9_1780_FD2FL, // -173 + 0x52CD_E11A_6D9C_C612L, 0x50FE_AE60_DF9A_6426L, // -172 + 0x423E_4DAE_BE17_04DBL, 0x5A65_584D_7FAE_B685L, // -171 + 0x69FD_4917_968B_3AF9L, 0x10A2_26E2_65E4_573BL, // -170 + 0x54CA_A0DF_ABA2_9594L, 0x0D4E_8581_EB1D_1295L, // -169 + 0x43D5_4D7F_BC82_1143L, 0x243E_D134_BC17_4211L, // -168 + 0x6C88_7BFF_9403_4ED2L, 0x06CA_E854_6025_3682L, // -167 + 0x56D3_9666_1002_A574L, 0x6BD5_86A9_E684_2B9BL, // -166 + 0x4576_11EB_4002_1DF7L, 0x0977_9EEE_5203_5616L, // -165 + 0x6F23_4FDE_CCD0_2FF1L, 0x5BF2_97E3_B66B_BCEFL, // -164 + 0x58E9_0CB2_3D73_598EL, 0x165B_ACB6_2B89_63F3L, // -163 + 0x4720_D6F4_FDF5_E13EL, 0x4516_23C4_EFA1_1CC2L, // -162 + 0x71CE_24BB_2FEF_CECAL, 0x3B56_9FA1_7F68_2E03L, // -161 + 0x5B0B_5095_BFF3_0BD5L, 0x15DE_E61A_CC53_5803L, // -160 + 0x48D5_DA11_665C_0977L, 0x2B18_B815_7042_ACCFL, // -159 + 0x7489_5CE8_A3C6_758BL, 0x5E8D_F355_806A_AE18L, // -158 + 0x5D3A_B0BA_1C9E_C46FL, 0x653E_5C44_66BB_BE7AL, // -157 + 0x4A95_5A2E_7D4B_D059L, 0x3765_169D_1EFC_9861L, // -156 + 0x7755_5D17_2EDF_B3C2L, 0x256E_8A94_FE60_F3CFL, // -155 + 0x5F77_7DAC_257F_C301L, 0x6ABE_D543_FEB3_F63FL, // -154 + 0x4C5F_97BC_EACC_9C01L, 0x3BCB_DDCF_FEF6_5E99L, // -153 + 0x7A32_8C61_77AD_C668L, 0x5FAC_9619_97F0_975BL, // -152 + 0x61C2_09E7_92F1_6B86L, 0x7FBD_44E1_465A_12AFL, // -151 + 0x4E34_D4B9_425A_BC6BL, 0x7FCA_9D81_0514_DBBFL, // -150 + 0x7D21_545B_9D5D_FA46L, 0x32DD_C8CE_6E87_C5FFL, // -149 + 0x641A_A9E2_E44B_2E9EL, 0x5BE4_A0A5_2539_6B32L, // -148 + 0x5015_54B5_836F_587EL, 0x7CB6_E6EA_842D_EF5CL, // -147 + 0x4011_1091_35F2_AD32L, 0x3092_5255_368B_25E3L, // -146 + 0x6681_B41B_8984_4850L, 0x4DB6_EA21_F0DE_A304L, // -145 + 0x5201_5CE2_D469_D373L, 0x57C5_881B_2718_826AL, // -144 + 0x419A_B0B5_76BB_0F8FL, 0x5FD1_39AF_527A_01EFL, // -143 + 0x68F7_8122_5791_B27FL, 0x4C81_F5E5_50C3_364AL, // -142 + 0x53F9_341B_7941_5B99L, 0x239B_2B1D_DA35_C508L, // -141 + 0x432D_C349_2DCD_E2E1L, 0x02E2_88E4_AE91_6A6DL, // -140 + 0x6B7C_6BA8_4949_6B01L, 0x516A_74A1_174F_10AEL, // -139 + 0x55FD_22ED_076D_EF34L, 0x4121_F6E7_45D8_DA25L, // -138 + 0x44CA_8257_3924_BF5DL, 0x1A81_9252_9E47_14EBL, // -137 + 0x6E10_D08B_8EA1_322EL, 0x5D9C_1D50_FD3E_87DDL, // -136 + 0x580D_73A2_D880_F4F2L, 0x17B0_1773_FDCB_9FE4L, // -135 + 0x4671_294F_139A_5D8EL, 0x4626_7929_97D6_1984L, // -134 + 0x70B5_0EE4_EC2A_2F4AL, 0x3D0A_5B75_BFBC_F59FL, // -133 + 0x5A2A_7250_BCEE_8C3BL, 0x4A6E_AF91_6630_C47FL, // -132 + 0x4821_F50D_63F2_09C9L, 0x21F2_260D_EB5A_36CCL, // -131 + 0x7369_8815_6CB6_760EL, 0x6983_7016_455D_247AL, // -130 + 0x5C54_6CDD_F091_F80BL, 0x6E02_C011_D117_5062L, // -129 + 0x49DD_23E4_C074_C66FL, 0x719B_CCDB_0DAC_404EL, // -128 + 0x762E_9FD4_6721_3D7FL, 0x68F9_47C4_E2AD_33B0L, // -127 + 0x5E8B_B310_5280_FDFFL, 0x6D94_396A_4EF0_F627L, // -126 + 0x4BA2_F5A6_A867_3199L, 0x3E10_2DEE_A58D_91B9L, // -125 + 0x7904_BC3D_DA3E_B5C2L, 0x3019_E317_6F48_E927L, // -124 + 0x60D0_9697_E1CB_C49BL, 0x4014_B5AC_5907_20ECL, // -123 + 0x4D73_ABAC_B4A3_03AFL, 0x4CDD_5E23_7A6C_1A57L, // -122 + 0x7BEC_45E1_2104_D2B2L, 0x47C8_969F_2A46_908AL, // -121 + 0x6323_6B1A_80D0_A88EL, 0x6CA0_787F_5505_406FL, // -120 + 0x4F4F_88E2_00A6_ED3FL, 0x0A19_F9FF_7737_66BFL, // -119 + 0x7EE5_A7D0_010B_1531L, 0x5CF6_5CCB_F1F2_3DFEL, // -118 + 0x6584_8640_00D5_AA8EL, 0x172B_7D6F_F4C1_CB32L, // -117 + 0x5136_D1CC_CD77_BBA4L, 0x78EF_978C_C3CE_3C28L, // -116 + 0x40F8_A7D7_0AC6_2FB7L, 0x13F2_DFA3_CFD8_3020L, // -115 + 0x67F4_3FBE_77A3_7F8BL, 0x3984_9906_1959_E699L, // -114 + 0x5329_CC98_5FB5_FFA2L, 0x6136_E0D1_ADE1_8548L, // -113 + 0x4287_D6E0_4C91_994FL, 0x00F8_B3DA_F181_376DL, // -112 + 0x6A72_F166_E0E8_F54BL, 0x1B27_862B_1C01_F247L, // -111 + 0x5528_C11F_1A53_F76FL, 0x2F52_D1BC_1667_F506L, // -110 + 0x4420_9A7F_4843_2C59L, 0x0C42_4163_451F_F738L, // -109 + 0x6D00_F732_0D38_46F4L, 0x7A03_9BD2_0833_2526L, // -108 + 0x5733_F8F4_D760_38C3L, 0x7B36_1641_A028_EA85L, // -107 + 0x45C3_2D90_AC4C_FA36L, 0x2F5E_7834_8020_BB9EL, // -106 + 0x6F9E_AF4D_E07B_29F0L, 0x4BCA_59ED_99CD_F8FCL, // -105 + 0x594B_BF71_8062_87F3L, 0x563B_7B24_7B0B_2D96L, // -104 + 0x476F_CC5A_CD1B_9FF6L, 0x11C9_2F50_626F_57ACL, // -103 + 0x724C_7A2A_E1C5_CCBDL, 0x02DB_7EE7_03E5_5912L, // -102 + 0x5B70_61BB_E7D1_7097L, 0x1BE2_CBEC_031D_E0DCL, // -101 + 0x4926_B496_530D_F3ACL, 0x164F_0989_9C17_E716L, // -100 + 0x750A_BA8A_1E7C_B913L, 0x3D4B_4275_C68C_A4F0L, // -99 + 0x5DA2_2ED4_E530_940FL, 0x4AA2_9B91_6BA3_B726L, // -98 + 0x4AE8_2577_1DC0_7672L, 0x6EE8_7C74_561C_9285L, // -97 + 0x77D9_D58B_62CD_8A51L, 0x3173_FA53_BCFA_8408L, // -96 + 0x5FE1_77A2_B571_3B74L, 0x278F_FB76_30C8_69A0L, // -95 + 0x4CB4_5FB5_5DF4_2F90L, 0x1FA6_62C4_F3D3_87B3L, // -94 + 0x7ABA_32BB_C986_B280L, 0x32A3_D13B_1FB8_D91FL, // -93 + 0x622E_8EFC_A138_8ECDL, 0x0EE9_742F_4C93_E0E6L, // -92 + 0x4E8B_A596_E760_723DL, 0x58BA_C359_0A0F_E71EL, // -91 + 0x7DAC_3C24_A567_1D2FL, 0x412A_D228_1019_71C9L, // -90 + 0x6489_C9B6_EAB8_E426L, 0x00EF_0E86_7347_8E3BL, // -89 + 0x506E_3AF8_BBC7_1CEBL, 0x1A58_D86B_8F6C_71C9L, // -88 + 0x4058_2F2D_6305_B0BCL, 0x1513_E056_0C56_C16EL, // -87 + 0x66F3_7EAF_04D5_E793L, 0x3B53_0089_AD57_9BE2L, // -86 + 0x525C_6558_D0AB_1FA9L, 0x15DC_006E_2446_164FL, // -85 + 0x41E3_8447_0D55_B2EDL, 0x5E49_99F1_B69E_783FL, // -84 + 0x696C_06D8_1555_EB15L, 0x7D42_8FE9_2430_C065L, // -83 + 0x5456_6BE0_1111_88DEL, 0x3102_0CBA_835A_3384L, // -82 + 0x4378_564C_DA74_6D7EL, 0x5A68_0A2E_CF7B_5C69L, // -81 + 0x6BF3_BD47_C3ED_7BFDL, 0x770C_DD17_B25E_FA42L, // -80 + 0x565C_976C_9CBD_FCCBL, 0x1270_B0DF_C1E5_9502L, // -79 + 0x4516_DF8A_16FE_63D5L, 0x5B8D_5A4C_9B1E_10CEL, // -78 + 0x6E8A_FF43_57FD_6C89L, 0x127B_C3AD_C4FC_E7B0L, // -77 + 0x586F_329C_4664_56D4L, 0x0EC9_6957_D0CA_52F3L, // -76 + 0x46BF_5BB0_3850_4576L, 0x3F07_8779_73D5_0F29L, // -75 + 0x7132_2C4D_26E6_D58AL, 0x31A5_A58F_1FBB_4B75L, // -74 + 0x5A8E_89D7_5252_446EL, 0x5AEA_EAD8_E62F_6F91L, // -73 + 0x4872_07DF_750E_9D25L, 0x2F22_557A_51BF_8C74L, // -72 + 0x73E9_A632_54E4_2EA2L, 0x1836_EF2A_1C65_AD86L, // -71 + 0x5CBA_EB5B_771C_F21BL, 0x2CF8_BF54_E384_8AD2L, // -70 + 0x4A2F_22AF_927D_8E7CL, 0x23FA_32AA_4F9D_3BDBL, // -69 + 0x76B1_D118_EA62_7D93L, 0x5329_EAAA_18FB_92F8L, // -68 + 0x5EF4_A747_21E8_6476L, 0x0F54_BBBB_472F_A8C6L, // -67 + 0x4BF6_EC38_E7ED_1D2BL, 0x25DD_62FC_38F2_ED6CL, // -66 + 0x798B_138E_3FE1_C845L, 0x22FB_D193_8E51_7BDFL, // -65 + 0x613C_0FA4_FFE7_D36AL, 0x4F2F_DADC_71DA_C97FL, // -64 + 0x4DC9_A61D_9986_42BBL, 0x58F3_157D_27E2_3ACCL, // -63 + 0x7C75_D695_C270_6AC5L, 0x74B8_2261_D969_F7ADL, // -62 + 0x6391_7877_CEC0_556BL, 0x1093_4EB4_ADEE_5FBEL, // -61 + 0x4FA7_9393_0BCD_1122L, 0x4075_D890_8B25_1965L, // -60 + 0x7F72_85B8_12E1_B504L, 0x00BC_8DB4_11D4_F56EL, // -59 + 0x65F5_37C6_7581_5D9CL, 0x66FD_3E29_A7DD_9125L, // -58 + 0x5190_F96B_9134_4AE3L, 0x6BFD_CB54_864A_DA84L, // -57 + 0x4140_C789_40F6_A24FL, 0x6FFE_3C43_9EA2_486AL, // -56 + 0x6867_A5A8_67F1_03B2L, 0x7FFD_2D38_FDD0_73DCL, // -55 + 0x5386_1E20_5327_3628L, 0x6664_242D_97D9_F64AL, // -54 + 0x42D1_B1B3_75B8_F820L, 0x51E9_B68A_DFE1_91D5L, // -53 + 0x6AE9_1C52_55F4_C034L, 0x1CA9_2411_6635_B621L, // -52 + 0x5587_49DB_77F7_0029L, 0x63BA_8341_1E91_5E81L, // -51 + 0x446C_3B15_F992_6687L, 0x6962_029A_7EDA_B201L, // -50 + 0x6D79_F823_28EA_3DA6L, 0x0F03_375D_97C4_5001L, // -49 + 0x5794_C682_8721_CAEBL, 0x259C_2C4A_DFD0_4001L, // -48 + 0x4610_9ECE_D281_6F22L, 0x5149_BD08_B30D_0001L, // -47 + 0x701A_97B1_50CF_1837L, 0x3542_C80D_EB48_0001L, // -46 + 0x59AE_DFC1_0D72_79C5L, 0x7768_A00B_22A0_0001L, // -45 + 0x47BF_1967_3DF5_2E37L, 0x7920_8008_E880_0001L, // -44 + 0x72CB_5BD8_6321_E38CL, 0x5B67_3341_7400_0001L, // -43 + 0x5BD5_E313_8281_82D6L, 0x7C52_8F67_9000_0001L, // -42 + 0x4977_E8DC_6867_9BDFL, 0x16A8_72B9_4000_0001L, // -41 + 0x758C_A7C7_0D72_92FEL, 0x5773_EAC2_0000_0001L, // -40 + 0x5E0A_1FD2_7128_7598L, 0x45F6_5568_0000_0001L, // -39 + 0x4B3B_4CA8_5A86_C47AL, 0x04C5_1120_0000_0001L, // -38 + 0x785E_E10D_5DA4_6D90L, 0x07A1_B500_0000_0001L, // -37 + 0x604B_E73D_E483_8AD9L, 0x52E7_C400_0000_0001L, // -36 + 0x4D09_85CB_1D36_08AEL, 0x0F1F_D000_0000_0001L, // -35 + 0x7B42_6FAB_61F0_0DE3L, 0x31CC_8000_0000_0001L, // -34 + 0x629B_8C89_1B26_7182L, 0x5B0A_0000_0000_0001L, // -33 + 0x4EE2_D6D4_15B8_5ACEL, 0x7C08_0000_0000_0001L, // -32 + 0x7E37_BE20_22C0_914BL, 0x1340_0000_0000_0001L, // -31 + 0x64F9_64E6_8233_A76FL, 0x2900_0000_0000_0001L, // -30 + 0x50C7_83EB_9B5C_85F2L, 0x5400_0000_0000_0001L, // -29 + 0x409F_9CBC_7C4A_04C2L, 0x1000_0000_0000_0001L, // -28 + 0x6765_C793_FA10_079DL, 0x0000_0000_0000_0001L, // -27 + 0x52B7_D2DC_C80C_D2E4L, 0x0000_0000_0000_0001L, // -26 + 0x422C_A8B0_A00A_4250L, 0x0000_0000_0000_0001L, // -25 + 0x69E1_0DE7_6676_D080L, 0x0000_0000_0000_0001L, // -24 + 0x54B4_0B1F_852B_DA00L, 0x0000_0000_0000_0001L, // -23 + 0x43C3_3C19_3756_4800L, 0x0000_0000_0000_0001L, // -22 + 0x6C6B_935B_8BBD_4000L, 0x0000_0000_0000_0001L, // -21 + 0x56BC_75E2_D631_0000L, 0x0000_0000_0000_0001L, // -20 + 0x4563_9182_44F4_0000L, 0x0000_0000_0000_0001L, // -19 + 0x6F05_B59D_3B20_0000L, 0x0000_0000_0000_0001L, // -18 + 0x58D1_5E17_6280_0000L, 0x0000_0000_0000_0001L, // -17 + 0x470D_E4DF_8200_0000L, 0x0000_0000_0000_0001L, // -16 + 0x71AF_D498_D000_0000L, 0x0000_0000_0000_0001L, // -15 + 0x5AF3_107A_4000_0000L, 0x0000_0000_0000_0001L, // -14 + 0x48C2_7395_0000_0000L, 0x0000_0000_0000_0001L, // -13 + 0x746A_5288_0000_0000L, 0x0000_0000_0000_0001L, // -12 + 0x5D21_DBA0_0000_0000L, 0x0000_0000_0000_0001L, // -11 + 0x4A81_7C80_0000_0000L, 0x0000_0000_0000_0001L, // -10 + 0x7735_9400_0000_0000L, 0x0000_0000_0000_0001L, // -9 + 0x5F5E_1000_0000_0000L, 0x0000_0000_0000_0001L, // -8 + 0x4C4B_4000_0000_0000L, 0x0000_0000_0000_0001L, // -7 + 0x7A12_0000_0000_0000L, 0x0000_0000_0000_0001L, // -6 + 0x61A8_0000_0000_0000L, 0x0000_0000_0000_0001L, // -5 + 0x4E20_0000_0000_0000L, 0x0000_0000_0000_0001L, // -4 + 0x7D00_0000_0000_0000L, 0x0000_0000_0000_0001L, // -3 + 0x6400_0000_0000_0000L, 0x0000_0000_0000_0001L, // -2 + 0x5000_0000_0000_0000L, 0x0000_0000_0000_0001L, // -1 + 0x4000_0000_0000_0000L, 0x0000_0000_0000_0001L, // 0 + 0x6666_6666_6666_6666L, 0x3333_3333_3333_3334L, // 1 + 0x51EB_851E_B851_EB85L, 0x0F5C_28F5_C28F_5C29L, // 2 + 0x4189_374B_C6A7_EF9DL, 0x5916_872B_020C_49BBL, // 3 + 0x68DB_8BAC_710C_B295L, 0x74F0_D844_D013_A92BL, // 4 + 0x53E2_D623_8DA3_C211L, 0x43F3_E037_0CDC_8755L, // 5 + 0x431B_DE82_D7B6_34DAL, 0x698F_E692_70B0_6C44L, // 6 + 0x6B5F_CA6A_F2BD_215EL, 0x0F4C_A41D_811A_46D4L, // 7 + 0x55E6_3B88_C230_E77EL, 0x3F70_834A_CDAE_9F10L, // 8 + 0x44B8_2FA0_9B5A_52CBL, 0x4C5A_02A2_3E25_4C0DL, // 9 + 0x6DF3_7F67_5EF6_EADFL, 0x2D5C_D103_96A2_1347L, // 10 + 0x57F5_FF85_E592_557FL, 0x3DE3_DA69_454E_75D3L, // 11 + 0x465E_6604_B7A8_4465L, 0x7E4F_E1ED_D10B_9175L, // 12 + 0x7097_09A1_25DA_0709L, 0x4A19_697C_81AC_1BEFL, // 13 + 0x5A12_6E1A_84AE_6C07L, 0x54E1_2130_67BC_E326L, // 14 + 0x480E_BE7B_9D58_566CL, 0x43E7_4DC0_52FD_8285L, // 15 + 0x734A_CA5F_6226_F0ADL, 0x530B_AF9A_1E62_6A6DL, // 16 + 0x5C3B_D519_1B52_5A24L, 0x426F_BFAE_7EB5_21F1L, // 17 + 0x49C9_7747_490E_AE83L, 0x4EBF_CC8B_9890_E7F4L, // 18 + 0x760F_253E_DB4A_B0D2L, 0x4ACC_7A78_F41B_0CBAL, // 19 + 0x5E72_8432_4908_8D75L, 0x223D_2EC7_29AF_3D62L, // 20 + 0x4B8E_D028_3A6D_3DF7L, 0x34FD_BF05_BAF2_9781L, // 21 + 0x78E4_8040_5D7B_9658L, 0x54C9_31A2_C4B7_58CFL, // 22 + 0x60B6_CD00_4AC9_4513L, 0x5D6D_C14F_03C5_E0A5L, // 23 + 0x4D5F_0A66_A23A_9DA9L, 0x3124_9AA5_9C9E_4D51L, // 24 + 0x7BCB_43D7_69F7_62A8L, 0x4EA0_F76F_60FD_4882L, // 25 + 0x6309_0312_BB2C_4EEDL, 0x254D_92BF_80CA_A068L, // 26 + 0x4F3A_68DB_C8F0_3F24L, 0x1DD7_A899_33D5_4D20L, // 27 + 0x7EC3_DAF9_4180_6506L, 0x62F2_A75B_8622_1500L, // 28 + 0x6569_7BFA_9ACD_1D9FL, 0x025B_B916_04E8_10CDL, // 29 + 0x5121_2FFB_AF0A_7E18L, 0x6849_60DE_6A53_40A4L, // 30 + 0x40E7_5996_25A1_FE7AL, 0x203A_B3E5_21DC_33B6L, // 31 + 0x67D8_8F56_A29C_CA5DL, 0x19F7_863B_6960_52BDL, // 32 + 0x5313_A5DE_E87D_6EB0L, 0x7B2C_6B62_BAB3_7564L, // 33 + 0x4276_1E4B_ED31_255AL, 0x2F56_BC4E_FBC2_C450L, // 34 + 0x6A56_96DF_E1E8_3BC3L, 0x6557_93B1_92D1_3A1AL, // 35 + 0x5512_124C_B4B9_C969L, 0x3779_42F4_7574_2E7BL, // 36 + 0x440E_750A_2A2E_3ABAL, 0x5F94_3590_5DF6_8B96L, // 37 + 0x6CE3_EE76_A9E3_912AL, 0x65B9_EF4D_6324_1289L, // 38 + 0x571C_BEC5_54B6_0DBBL, 0x6AFB_25D7_8283_4207L, // 39 + 0x45B0_989D_DD5E_7163L, 0x08C8_EB12_CECF_6806L, // 40 + 0x6F80_F42F_C897_1BD1L, 0x5ADB_11B7_B14B_D9A3L, // 41 + 0x5933_F68C_A078_E30EL, 0x157C_0E2C_8DD6_47B5L, // 42 + 0x475C_C53D_4D2D_8271L, 0x5DFC_D823_A4AB_6C91L, // 43 + 0x722E_0862_1515_9D82L, 0x632E_269F_6DDF_141BL, // 44 + 0x5B58_06B4_DDAA_E468L, 0x4F58_1EE5_F17F_4349L, // 45 + 0x4913_3890_B155_8386L, 0x72AC_E584_C132_9C3BL, // 46 + 0x74EB_8DB4_4EEF_38D7L, 0x6AAE_3C07_9B84_2D2AL, // 47 + 0x5D89_3E29_D8BF_60ACL, 0x5558_3006_1603_5755L, // 48 + 0x4AD4_31BB_13CC_4D56L, 0x7779_C004_DE69_12ABL, // 49 + 0x77B9_E92B_52E0_7BBEL, 0x258F_99A1_63DB_5111L, // 50 + 0x5FC7_EDBC_424D_2FCBL, 0x37A6_1481_1CAF_740DL, // 51 + 0x4C9F_F163_683D_BFD5L, 0x7951_AA00_E3BF_900BL, // 52 + 0x7A99_8238_A6C9_32EFL, 0x754F_7667_D2CC_19ABL, // 53 + 0x6214_682D_523A_8F26L, 0x2AA5_F853_0F09_AE22L, // 54 + 0x4E76_B9BD_DB62_0C1EL, 0x5551_9375_A5A1_581BL, // 55 + 0x7D8A_C2C9_5F03_4697L, 0x3BB5_B8BC_3C35_59C5L, // 56 + 0x646F_023A_B269_0545L, 0x7C91_6096_9691_149EL, // 57 + 0x5058_CE95_5B87_376BL, 0x16DA_B3AB_ABA7_43B2L, // 58 + 0x4047_0BAA_AF9F_5F88L, 0x78AE_F622_EFB9_02F5L, // 59 + 0x66D8_12AA_B298_98DBL, 0x0DE4_BD04_B2C1_9E54L, // 60 + 0x5246_7555_5BAD_4715L, 0x57EA_30D0_8F01_4B76L, // 61 + 0x41D1_F777_7C8A_9F44L, 0x4654_F3DA_0C01_092CL, // 62 + 0x694F_F258_C744_3207L, 0x23BB_1FC3_4668_0EACL, // 63 + 0x543F_F513_D29C_F4D2L, 0x4FC8_E635_D1EC_D88AL, // 64 + 0x4366_5DA9_754A_5D75L, 0x263A_51C4_A7F0_AD3BL, // 65 + 0x6BD6_FC42_5543_C8BBL, 0x56C3_B607_731A_AEC4L, // 66 + 0x5645_969B_7769_6D62L, 0x789C_919F_8F48_8BD0L, // 67 + 0x4504_787C_5F87_8AB5L, 0x46E3_A7B2_D906_D640L, // 68 + 0x6E6D_8D93_CC0C_1122L, 0x3E39_0C51_5B3E_239AL, // 69 + 0x5857_A476_3CD6_741BL, 0x4B60_D6A7_7C31_B615L, // 70 + 0x46AC_8391_CA45_29AFL, 0x55E7_121F_968E_2B44L, // 71 + 0x7114_05B6_106E_A919L, 0x0971_B698_F0E3_786DL, // 72 + 0x5A76_6AF8_0D25_5414L, 0x078E_2BAD_8D82_C6BDL, // 73 + 0x485E_BBF9_A41D_DCDCL, 0x6C71_BC8A_D79B_D231L, // 74 + 0x73CA_C65C_39C9_6161L, 0x2D82_C744_8C2C_8382L, // 75 + 0x5CA2_3849_C7D4_4DE7L, 0x3E02_3903_A356_CF9BL, // 76 + 0x4A1B_603B_0643_7185L, 0x7E68_2D9C_82AB_D949L, // 77 + 0x7692_3391_A39F_1C09L, 0x4A40_48FA_6AAC_8EDBL, // 78 + 0x5EDB_5C74_82E5_B007L, 0x5500_3A61_EEF0_7249L, // 79 + 0x4BE2_B05D_3584_8CD2L, 0x7733_61E7_F259_F507L, // 80 + 0x796A_B3C8_55A0_E151L, 0x3EB8_9CA6_508F_EE71L, // 81 + 0x6122_296D_114D_810DL, 0x7EFA_16EB_73A6_585BL, // 82 + 0x4DB4_EDF0_DAA4_673EL, 0x3261_ABEF_8FB8_46AFL, // 83 + 0x7C54_AFE7_C43A_3ECAL, 0x1D69_1318_E5F3_A44BL, // 84 + 0x6376_F31F_D02E_98A1L, 0x6454_0F47_1E5C_836FL, // 85 + 0x4F92_5C19_7358_7A1BL, 0x0376_729F_4B7D_35F3L, // 86 + 0x7F50_935B_EBC0_C35EL, 0x38BD_8432_1261_EFEBL, // 87 + 0x65DA_0F7C_BC9A_35E5L, 0x13CA_D028_0EB4_BFEFL, // 88 + 0x517B_3F96_FD48_2B1DL, 0x5CA2_4020_0BC3_CCBFL, // 89 + 0x412F_6612_6439_BC17L, 0x63B5_0019_A303_0A33L, // 90 + 0x684B_D683_D38F_9359L, 0x1F88_0029_04D1_A9EAL, // 91 + 0x536F_DECF_DC72_DC47L, 0x32D3_3354_03DA_EE55L, // 92 + 0x42BF_E573_16C2_49D2L, 0x5BDC_2910_0315_8B77L, // 93 + 0x6ACC_A251_BE03_A951L, 0x12F9_DB4C_D1BC_1258L, // 94 + 0x5570_81DA_FE69_5440L, 0x7594_AF70_A7C9_A847L, // 95 + 0x445A_017B_FEBA_A9CDL, 0x4476_F2C0_863A_ED06L, // 96 + 0x6D5C_CF2C_CAC4_42E2L, 0x3A57_EACD_A391_7B3CL, // 97 + 0x577D_728A_3BD0_3581L, 0x7B79_88A4_82DA_C8FDL, // 98 + 0x45FD_F53B_630C_F79BL, 0x15FA_D3B6_CF15_6D97L, // 99 + 0x6FFC_BB92_3814_BF5EL, 0x565E_1F8A_E4EF_15BEL, // 100 + 0x5996_FC74_F9AA_32B2L, 0x11E4_E608_B725_AAFFL, // 101 + 0x47AB_FD2A_6154_F55BL, 0x27EA_51A0_9284_88CCL, // 102 + 0x72AC_C843_CEEE_555EL, 0x7310_829A_8407_4146L, // 103 + 0x5BBD_6D03_0BF1_DDE5L, 0x4273_9BAE_D005_CDD2L, // 104 + 0x4964_5735_A327_E4B7L, 0x4EC2_E2F2_4004_A4A8L, // 105 + 0x756D_5855_D1D9_6DF2L, 0x4AD1_6B1D_333A_A10CL, // 106 + 0x5DF1_1377_DB14_57F5L, 0x2241_227D_C295_4DA3L, // 107 + 0x4B27_42C6_48DD_132AL, 0x4E9A_81FE_3544_3E1CL, // 108 + 0x783E_D13D_4161_B844L, 0x175D_9CC9_EED3_9694L, // 109 + 0x6032_40FD_CDE7_C69CL, 0x7917_B0A1_8BDC_7876L, // 110 + 0x4CF5_00CB_0B1F_D217L, 0x1412_F3B4_6FE3_9392L, // 111 + 0x7B21_9ADE_7832_E9BEL, 0x5351_85ED_7FD2_85B6L, // 112 + 0x6281_48B1_F9C2_5498L, 0x42A7_9E57_9975_37C5L, // 113 + 0x4ECD_D3C1_949B_76E0L, 0x3552_E512_E12A_9304L, // 114 + 0x7E16_1F9C_20F8_BE33L, 0x6EEB_081E_3510_EB39L, // 115 + 0x64DE_7FB0_1A60_9829L, 0x3F22_6CE4_F740_BC2EL, // 116 + 0x50B1_FFC0_151A_1354L, 0x3281_F0B7_2C33_C9BEL, // 117 + 0x408E_6633_4414_DC43L, 0x4201_8D5F_568F_D498L, // 118 + 0x674A_3D1E_D354_939FL, 0x1CCF_4898_8A7F_BA8DL, // 119 + 0x52A1_CA7F_0F76_DC7FL, 0x30A5_D3AD_3B99_620BL, // 120 + 0x421B_0865_A5F8_B065L, 0x73B7_DC8A_9614_4E6FL, // 121 + 0x69C4_DA3C_3CC1_1A3CL, 0x52BF_C744_2353_B0B1L, // 122 + 0x549D_7B63_63CD_AE96L, 0x7566_3903_4F76_26F4L, // 123 + 0x43B1_2F82_B63E_2545L, 0x4451_C735_D92B_525DL, // 124 + 0x6C4E_B26A_BD30_3BA2L, 0x3A1C_71EF_C1DE_EA2EL, // 125 + 0x56A5_5B88_9759_C94EL, 0x61B0_5B26_34B2_54F2L, // 126 + 0x4551_1606_DF7B_0772L, 0x1AF3_7C1E_908E_AA5BL, // 127 + 0x6EE8_233E_325E_7250L, 0x2B1F_2CFD_B417_76F8L, // 128 + 0x58B9_B5CB_5B7E_C1D9L, 0x6F4C_23FE_29AC_5F2DL, // 129 + 0x46FA_F7D5_E2CB_CE47L, 0x72A3_4FFE_87BD_18F1L, // 130 + 0x7191_8C89_6ADF_B073L, 0x0438_7FFD_A5FB_5B1BL, // 131 + 0x5ADA_D6D4_557F_C05CL, 0x0360_6664_84C9_15AFL, // 132 + 0x48AF_1243_7799_66B0L, 0x02B3_851D_3707_448CL, // 133 + 0x744B_506B_F28F_0AB3L, 0x1DEC_082E_BE72_0746L, // 134 + 0x5D09_0D23_2872_6EF5L, 0x64BC_D358_985B_3905L, // 135 + 0x4A6D_A41C_205B_8BF7L, 0x6A30_A913_AD15_C738L, // 136 + 0x7715_D360_33C5_ACBFL, 0x5D1A_A81F_7B56_0B8CL, // 137 + 0x5F44_A919_C304_8A32L, 0x7DAE_ECE5_FC44_D609L, // 138 + 0x4C36_EDAE_359D_3B5BL, 0x7E25_8A51_969D_7808L, // 139 + 0x79F1_7C49_EF61_F893L, 0x16A2_76E8_F0FB_F33FL, // 140 + 0x618D_FD07_F2B4_C6DCL, 0x121B_9253_F3FC_C299L, // 141 + 0x4E0B_30D3_2890_9F16L, 0x41AF_A843_2997_0214L, // 142 + 0x7CDE_B485_0DB4_31BDL, 0x4F7F_739E_A8F1_9CEDL, // 143 + 0x63E5_5D37_3E29_C164L, 0x3F99_294B_BA5A_E3F1L, // 144 + 0x4FEA_B0F8_FE87_CDE9L, 0x7FAD_BAA2_FB7B_E98DL, // 145 + 0x7FDD_E7F4_CA72_E30FL, 0x7F7C_5DD1_925F_DC15L, // 146 + 0x664B_1FF7_085B_E8D9L, 0x4C63_7E41_41E6_49ABL, // 147 + 0x51D5_B32C_06AF_ED7AL, 0x704F_9834_34B8_3AEFL, // 148 + 0x4177_C289_9EF3_2462L, 0x26A6_135C_F6F9_C8BFL, // 149 + 0x68BF_9DA8_FE51_D3D0L, 0x3DD6_8561_8B29_4132L, // 150 + 0x53CC_7E20_CB74_A973L, 0x4B12_044E_08ED_CDC2L, // 151 + 0x4309_FE80_A2C3_BAC2L, 0x6F41_9D0B_3A57_D7CEL, // 152 + 0x6B43_30CD_D139_2AD1L, 0x3202_94DE_C3BF_BFB0L, // 153 + 0x55CF_5A3E_40FA_88A7L, 0x419B_AA4B_CFCC_995AL, // 154 + 0x44A5_E1CB_672E_D3B9L, 0x1AE2_EEA3_0CA3_ADE1L, // 155 + 0x6DD6_3612_3EB1_52C1L, 0x77D1_7DD1_ADD2_AFCFL, // 156 + 0x57DE_91A8_3227_7567L, 0x7974_64A7_BE42_263FL, // 157 + 0x464B_A7B9_C1B9_2AB9L, 0x4790_5086_31CE_84FFL, // 158 + 0x7079_0C5C_6928_445CL, 0x0C1A_1A70_4FB0_D4CCL, // 159 + 0x59FA_7049_EDB9_D049L, 0x567B_4859_D95A_43D6L, // 160 + 0x47FB_8D07_F161_736EL, 0x11FC_39E1_7AAE_9CABL, // 161 + 0x732C_14D9_8235_857DL, 0x032D_2968_C44A_9445L, // 162 + 0x5C23_43E1_34F7_9DFDL, 0x4F57_5453_D03B_A9D1L, // 163 + 0x49B5_CFE7_5D92_E4CAL, 0x72AC_4376_402F_BB0EL, // 164 + 0x75EF_B30B_C8EB_07ABL, 0x0446_D256_CD19_2B49L, // 165 + 0x5E59_5C09_6D88_D2EFL, 0x1D05_7512_3DAD_BC3AL, // 166 + 0x4B7A_B007_8AD3_DBF2L, 0x4A6A_C40E_97BE_302FL, // 167 + 0x78C4_4CD8_DE1F_C650L, 0x7711_39B0_F2C9_E6B1L, // 168 + 0x609D_0A47_1819_6B73L, 0x78DA_948D_8F07_EBC1L, // 169 + 0x4D4A_6E9F_467A_BC5CL, 0x60AE_DD3E_0C06_5634L, // 170 + 0x7BAA_4A98_70C4_6094L, 0x344A_FB96_79A3_BD20L, // 171 + 0x62EE_A213_8D69_E6DDL, 0x103B_FC78_614F_CA80L, // 172 + 0x4F25_4E76_0ABB_1F17L, 0x2696_6393_810C_A200L, // 173 + 0x7EA2_1723_445E_9825L, 0x2423_D285_9B47_6999L, // 174 + 0x654E_78E9_037E_E01DL, 0x69B6_4204_7C39_2148L, // 175 + 0x510B_93ED_9C65_8017L, 0x6E2B_6803_9694_1AA0L, // 176 + 0x40D6_0FF1_49EA_CCDFL, 0x71BC_5336_1210_154DL, // 177 + 0x67BC_E64E_DCAA_E166L, 0x1C60_8523_5019_BBAEL, // 178 + 0x52FD_850B_E3BB_E784L, 0x7D1A_041C_4014_9625L, // 179 + 0x4264_6A6F_E963_1F9DL, 0x4A7B_367D_0010_781DL, // 180 + 0x6A3A_43E6_4238_3295L, 0x5D91_F0C8_001A_59C8L, // 181 + 0x54FB_6985_01C6_8EDEL, 0x17A7_F3D3_3348_47D4L, // 182 + 0x43FC_546A_67D2_0BE4L, 0x7953_2975_C2A0_3976L, // 183 + 0x6CC6_ED77_0C83_463BL, 0x0EEB_7589_3766_C256L, // 184 + 0x5705_8AC5_A39C_382FL, 0x2589_2AD4_2C52_3512L, // 185 + 0x459E_089E_1C7C_F9BFL, 0x37A0_EF10_2374_F742L, // 186 + 0x6F63_40FC_FA61_8F98L, 0x5901_7E80_38BB_2536L, // 187 + 0x591C_33FD_951A_D946L, 0x7A67_9866_93C8_EA91L, // 188 + 0x4749_C331_4415_7A9FL, 0x151F_AD1E_DCA0_BBA8L, // 189 + 0x720F_9EB5_39BB_F765L, 0x0832_AE97_C767_92A5L, // 190 + 0x5B3F_B22A_9496_5F84L, 0x068E_F213_05EC_7551L, // 191 + 0x48FF_C1BB_AA11_E603L, 0x1ED8_C1A8_D189_F774L, // 192 + 0x74CC_692C_434F_D66BL, 0x4AF4_690E_1C0F_F253L, // 193 + 0x5D70_5423_690C_AB89L, 0x225D_20D8_1673_2843L, // 194 + 0x4AC0_434F_873D_5607L, 0x3517_4D79_AB8F_5369L, // 195 + 0x779A_054C_0B95_5672L, 0x21BE_E25C_45B2_1F0EL, // 196 + 0x5FAE_6AA3_3C77_785BL, 0x3498_B516_9E28_18D8L, // 197 + 0x4C8B_8882_96C5_F9E2L, 0x5D46_F745_4B53_4713L, // 198 + 0x7A78_DA6A_8AD6_5C9DL, 0x7BA4_BED5_4552_0B52L, // 199 + 0x61FA_4855_3BDE_B07EL, 0x2FB6_FF11_0441_A2A8L, // 200 + 0x4E61_D377_6318_8D31L, 0x72F8_CC0D_9D01_4EEDL, // 201 + 0x7D69_5258_9E8D_AEB6L, 0x1E5A_E015_C802_17E1L, // 202 + 0x6454_41E0_7ED7_BEF8L, 0x1848_B344_A001_ACB4L, // 203 + 0x5043_67E6_CBDF_CBF9L, 0x603A_2903_B334_8A2AL, // 204 + 0x4035_ECB8_A319_6FFBL, 0x002E_8736_28F6_D4EEL, // 205 + 0x66BC_ADF4_3828_B32BL, 0x19E4_0B89_DB24_87E3L, // 206 + 0x5230_8B29_C686_F5BCL, 0x14B6_6FA1_7C1D_3983L, // 207 + 0x41C0_6F54_9ED2_5E30L, 0x1091_F2E7_967D_C79CL, // 208 + 0x6933_E554_3150_96B3L, 0x341C_B7D8_F0C9_3F5FL, // 209 + 0x5429_8443_5AA6_DEF5L, 0x767D_5FE0_C0A0_FF80L, // 210 + 0x4354_69CF_7BB8_B25EL, 0x2B97_7FE7_0080_CC66L, // 211 + 0x6BBA_42E5_92C1_1D63L, 0x5F58_CCA4_CD9A_E0A3L, // 212 + 0x562E_9BEA_DBCD_B11CL, 0x4C47_0A1D_7148_B3B6L, // 213 + 0x44F2_1655_7CA4_8DB0L, 0x3D05_A1B1_276D_5C92L, // 214 + 0x6E50_23BB_FAA0_E2B3L, 0x7B3C_35E8_3F15_60E9L, // 215 + 0x5840_1C96_621A_4EF6L, 0x2F63_5E53_65AA_B3EDL, // 216 + 0x4699_B078_4E7B_725EL, 0x591C_4B75_EAEE_F658L, // 217 + 0x70F5_E726_E3F8_B6FDL, 0x74FA_1256_44B1_8A26L, // 218 + 0x5A5E_5285_832D_5F31L, 0x43FB_41DE_9D5A_D4EBL, // 219 + 0x484B_7537_9C24_4C27L, 0x4FFC_34B2_177B_DD89L, // 220 + 0x73AB_EEBF_603A_1372L, 0x4CC6_BAB6_8BF9_6274L, // 221 + 0x5C89_8BCC_4CFB_42C2L, 0x0A38_955E_D661_1B90L, // 222 + 0x4A07_A309_D72F_689BL, 0x21C6_DDE5_784D_AFA7L, // 223 + 0x7672_9E76_2518_A75EL, 0x693E_2FD5_8D49_190BL, // 224 + 0x5EC2_185E_8413_B918L, 0x5431_BFDE_0AA0_E0D5L, // 225 + 0x4BCE_79E5_3676_2DADL, 0x29C1_664B_3BB3_E711L, // 226 + 0x794A_5CA1_F0BD_15E2L, 0x0F9B_D6DE_C5EC_A4E8L, // 227 + 0x6108_4A1B_26FD_AB1BL, 0x2616_457F_04BD_50BAL, // 228 + 0x4DA0_3B48_EBFE_227CL, 0x1E78_3798_D097_73C8L, // 229 + 0x7C33_920E_4663_6A60L, 0x30C0_58F4_80F2_52D9L, // 230 + 0x635C_74D8_384F_884DL, 0x0D66_AD90_6728_4247L, // 231 + 0x4F7D_2A46_9372_D370L, 0x711E_F140_5286_9B6CL, // 232 + 0x7F2E_AA0A_8584_8581L, 0x34FE_4ECD_50D7_5F14L, // 233 + 0x65BE_EE6E_D136_D134L, 0x2A65_0BD7_73DF_7F43L, // 234 + 0x5165_8B8B_DA92_40F6L, 0x551D_A312_C319_329CL, // 235 + 0x411E_093C_AEDB_672BL, 0x5DB1_4F42_35AD_C217L, // 236 + 0x6830_0EC7_7E2B_D845L, 0x7C4E_E536_BC49_368AL, // 237 + 0x5359_A56C_64EF_E037L, 0x7D0B_EA92_303A_9208L, // 238 + 0x42AE_1DF0_50BF_E693L, 0x173C_BBA8_2695_41A0L, // 239 + 0x6AB0_2FE6_E799_70EBL, 0x3EC7_92A6_A422_029AL, // 240 + 0x5559_BFEB_EC7A_C0BCL, 0x3239_421E_E9B4_CEE1L, // 241 + 0x4447_CCBC_BD2F_0096L, 0x5B61_01B2_5490_A581L, // 242 + 0x6D3F_ADFA_C84B_3424L, 0x2BCE_691D_541A_A268L, // 243 + 0x5766_24C8_A03C_29B6L, 0x563E_BA7D_DCE2_1B87L, // 244 + 0x45EB_50A0_8030_215EL, 0x7832_2ECB_171B_4939L, // 245 + 0x6FDE_E767_3380_3564L, 0x59E9_E478_24F8_7527L, // 246 + 0x597F_1F85_C2CC_F783L, 0x6187_E9F9_B72D_2A86L, // 247 + 0x4798_E604_9BD7_2C69L, 0x346C_BB2E_2C24_2205L, // 248 + 0x728E_3CD4_2C8B_7A42L, 0x20AD_F849_E039_D007L, // 249 + 0x5BA4_FD76_8A09_2E9BL, 0x33BE_603B_19C7_D99FL, // 250 + 0x4950_CAC5_3B3A_8BAFL, 0x42FE_B362_7B06_47B3L, // 251 + 0x754E_113B_91F7_45E5L, 0x5197_856A_5E70_72B8L, // 252 + 0x5DD8_0DC9_4192_9E51L, 0x27AC_6ABB_7EC0_5BC6L, // 253 + 0x4B13_3E3A_9ADB_B1DAL, 0x52F0_5562_CBCD_1638L, // 254 + 0x781E_C9F7_5E2C_4FC4L, 0x1E4D_556A_DFAE_89F3L, // 255 + 0x6018_A192_B1BD_0C9CL, 0x7EA4_4455_7FBE_D4C3L, // 256 + 0x4CE0_8142_27CA_707DL, 0x4BB6_9D11_32FF_109CL, // 257 + 0x7B00_CED0_3FAA_4D95L, 0x5F8A_94E8_5198_1A93L, // 258 + 0x6267_0BD9_CC88_3E11L, 0x32D5_43ED_0E13_4875L, // 259 + 0x4EB8_D647_D6D3_64DAL, 0x5BDD_CFF0_D80F_6D2BL, // 260 + 0x7DF4_8A0C_8AEB_D491L, 0x12FC_7FE7_C018_AEABL, // 261 + 0x64C3_A1A3_A256_43A7L, 0x28C9_FFEC_99AD_5889L, // 262 + 0x509C_814F_B511_CFB9L, 0x0707_FFF0_7AF1_13A1L, // 263 + 0x407D_343F_C40E_3FC7L, 0x1F39_998D_2F27_42E7L, // 264 + 0x672E_B9FF_A016_CC71L, 0x7EC2_8F48_4B72_04A4L, // 265 + 0x528B_C7FF_B345_705BL, 0x189B_A5D3_6F8E_6A1DL, // 266 + 0x4209_6CCC_8F6A_C048L, 0x7A16_1E42_BFA5_21B1L, // 267 + 0x69A8_AE14_18AA_CD41L, 0x4356_96D1_32A1_CF81L, // 268 + 0x5486_F1A9_AD55_7101L, 0x1C45_4574_2881_72CEL, // 269 + 0x439F_27BA_F111_2734L, 0x169D_D129_BA01_28A5L, // 270 + 0x6C31_D92B_1B4E_A520L, 0x242F_B50F_9001_DAA1L, // 271 + 0x568E_4755_AF72_1DB3L, 0x368C_90D9_4001_7BB4L, // 272 + 0x453E_9F77_BF8E_7E29L, 0x120A_0D7A_999A_C95DL, // 273 + 0x6ECA_98BF_98E3_FD0EL, 0x5010_1590_F5C4_7561L, // 274 + 0x58A2_13CC_7A4F_FDA5L, 0x2673_4473_F7D0_5DE8L, // 275 + 0x46E8_0FD6_C83F_FE1DL, 0x6B8F_69F6_5FD9_E4B9L, // 276 + 0x7173_4C8A_D9FF_FCFCL, 0x45B2_4323_CC8F_D45CL, // 277 + 0x5AC2_A3A2_47FF_FD96L, 0x6AF5_0283_0A0C_A9E3L, // 278 + 0x489B_B61B_6CCC_CADFL, 0x08C4_0202_6E70_87E9L, // 279 + 0x742C_5692_47AE_1164L, 0x746C_D003_E3E7_3FDBL, // 280 + 0x5CF0_4541_D2F1_A783L, 0x76BD_7336_4FEC_3315L, // 281 + 0x4A59_D101_758E_1F9CL, 0x5EFD_F5C5_0CBC_F5ABL, // 282 + 0x76F6_1B35_88E3_65C7L, 0x4B2F_EFA1_ADFB_22ABL, // 283 + 0x5F2B_48F7_A0B5_EB06L, 0x08F3_261A_F195_B555L, // 284 + 0x4C22_A0C6_1A2B_226BL, 0x20C2_84E2_5ADE_2AABL, // 285 + 0x79D1_013C_F6AB_6A45L, 0x1AD0_D49D_5E30_4444L, // 286 + 0x6174_00FD_9222_BB6AL, 0x48A7_107D_E4F3_69D0L, // 287 + 0x4DF6_6731_41B5_62BBL, 0x53B8_D9FE_50C2_BB0DL, // 288 + 0x7CBD_71E8_6922_3792L, 0x52C1_5CCA_1AD1_2B48L, // 289 + 0x63CA_C186_BA81_C60EL, 0x7567_7D6E_7BDA_8906L, // 290 + 0x4FD5_679E_FB9B_04D8L, 0x5DEC_6458_6315_3A6CL, // 291 + 0x7FBB_D8FE_5F5E_6E27L, 0x497A_3A27_04EE_C3DFL, // 292 }; }