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authorGravatar Abseil Team <absl-team@google.com>2018-06-18 13:18:53 -0700
committerGravatar Shaindel Schwartz <shaindel@google.com>2018-06-18 16:20:03 -0400
commitbd40a41cc142b36c73b881099d08a9d83f7f4780 (patch)
treea73a9bbdfdb823edee52f3b8a2973c4e240ceecc /absl/strings/internal/charconv_bigint_test.cc
parentf44e1eed08cd7871de4fb7c40cae27c6f727455d (diff)
--
f28d30df5769bb832dec3ff36d2fcd2bcdf494a3 by Shaindel Schwartz <shaindel@google.com>: Internal change PiperOrigin-RevId: 201046831 -- 711715a78b7e53dfaafd4d7f08a74e76db22af88 by Mark Barolak <mbar@google.com>: Internal fix PiperOrigin-RevId: 201043684 -- 64b53edd6bf1fa48f74e7f5d33f00f80d5089147 by Shaindel Schwartz <shaindel@google.com>: Remove extra whitespace PiperOrigin-RevId: 201041989 -- 0bdd2a0b33657b688e4a04aeba9ebba47e4dc6ca by Shaindel Schwartz <shaindel@google.com>: Whitespace fix. PiperOrigin-RevId: 201034413 -- 3deb0ac296ef1b74c4789e114a8a8bf53253f26b by Shaindel Schwartz <shaindel@google.com>: Scrub build tags. No functional changes. PiperOrigin-RevId: 201032927 -- da75d0f8b73baa7e8f4e9a092bba546012ed3b71 by Alex Strelnikov <strel@google.com>: Internal change. PiperOrigin-RevId: 201026131 -- 6815d80caa19870d0c441b6b9816c68db41393a5 by Tom Manshreck <shreck@google.com>: Add documentation for our LTS snapshot branches PiperOrigin-RevId: 201025191 -- 64c3b02006f39e6a8127bbabf9ec947fb45b6504 by Greg Falcon <gfalcon@google.com>: Provide absl::from_chars for double and float types. This is a forward-compatible implementation of std::from_chars from C++17. This provides exact "round_to_nearest" conversions, and has some nice properties: * Works with string_view (it can convert numbers from non-NUL-terminated buffers) * Never allocates memory * Faster than the standard library strtod() in our toolchain * Uses integer math in its calculations, so is unaffected by floating point environment * Unaffected by C locale Also change SimpleAtod/SimpleAtoi to use this new API under the hood. PiperOrigin-RevId: 201003324 -- 542869258eb100779497c899103dc96aced52749 by Greg Falcon <gfalcon@google.com>: Internal change PiperOrigin-RevId: 200999200 -- 3aba192775c7f80e2cd7f221b0a73537823c54ea by Gennadiy Rozental <rogeeff@google.com>: Internal change PiperOrigin-RevId: 200947470 -- daf9b9feedd748d5364a4c06165b7cb7604d3e1e by Mark Barolak <mbar@google.com>: Add an absl:: qualification to a usage of base_internal::SchedulingMode outside of an absl:: namespace. PiperOrigin-RevId: 200748234 -- a8d265290a22d629f3d9bf9f872c204200bfe8c8 by Mark Barolak <mbar@google.com>: Add a missing namespace closing comment to optional.h. PiperOrigin-RevId: 200739934 -- f05af8ee1c6b864dad2df7c907d424209a3e3202 by Abseil Team <absl-team@google.com>: Internal change PiperOrigin-RevId: 200719115 GitOrigin-RevId: f28d30df5769bb832dec3ff36d2fcd2bcdf494a3 Change-Id: Ie4fa601078fd4aa57286372611f1d114fdec82c0
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+// Copyright 2018 The Abseil Authors.
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+// http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+#include "absl/strings/internal/charconv_bigint.h"
+
+#include <string>
+
+#include "gtest/gtest.h"
+
+namespace absl {
+namespace strings_internal {
+
+TEST(BigUnsigned, ShiftLeft) {
+ {
+ // Check that 3 * 2**100 is calculated correctly
+ BigUnsigned<4> num(3u);
+ num.ShiftLeft(100);
+ EXPECT_EQ(num, BigUnsigned<4>("3802951800684688204490109616128"));
+ }
+ {
+ // Test that overflow is truncated properly.
+ // 15 is 4 bits long, and BigUnsigned<4> is a 128-bit bigint.
+ // Shifting left by 125 bits should truncate off the high bit, so that
+ // 15 << 125 == 7 << 125
+ // after truncation.
+ BigUnsigned<4> a(15u);
+ BigUnsigned<4> b(7u);
+ BigUnsigned<4> c(3u);
+ a.ShiftLeft(125);
+ b.ShiftLeft(125);
+ c.ShiftLeft(125);
+ EXPECT_EQ(a, b);
+ EXPECT_NE(a, c);
+ }
+ {
+ // Same test, larger bigint:
+ BigUnsigned<84> a(15u);
+ BigUnsigned<84> b(7u);
+ BigUnsigned<84> c(3u);
+ a.ShiftLeft(84 * 32 - 3);
+ b.ShiftLeft(84 * 32 - 3);
+ c.ShiftLeft(84 * 32 - 3);
+ EXPECT_EQ(a, b);
+ EXPECT_NE(a, c);
+ }
+ {
+ // Check that incrementally shifting has the same result as doing it all at
+ // once (attempting to capture corner cases.)
+ const std::string seed = "1234567890123456789012345678901234567890";
+ BigUnsigned<84> a(seed);
+ for (int i = 1; i <= 84 * 32; ++i) {
+ a.ShiftLeft(1);
+ BigUnsigned<84> b(seed);
+ b.ShiftLeft(i);
+ EXPECT_EQ(a, b);
+ }
+ // And we should have fully rotated all bits off by now:
+ EXPECT_EQ(a, BigUnsigned<84>(0u));
+ }
+}
+
+TEST(BigUnsigned, MultiplyByUint32) {
+ const BigUnsigned<84> factorial_100(
+ "933262154439441526816992388562667004907159682643816214685929638952175999"
+ "932299156089414639761565182862536979208272237582511852109168640000000000"
+ "00000000000000");
+ BigUnsigned<84> a(1u);
+ for (uint32_t i = 1; i <= 100; ++i) {
+ a.MultiplyBy(i);
+ }
+ EXPECT_EQ(a, BigUnsigned<84>(factorial_100));
+}
+
+TEST(BigUnsigned, MultiplyByBigUnsigned) {
+ {
+ // Put the terms of factorial_200 into two bigints, and multiply them
+ // together.
+ const BigUnsigned<84> factorial_200(
+ "7886578673647905035523632139321850622951359776871732632947425332443594"
+ "4996340334292030428401198462390417721213891963883025764279024263710506"
+ "1926624952829931113462857270763317237396988943922445621451664240254033"
+ "2918641312274282948532775242424075739032403212574055795686602260319041"
+ "7032406235170085879617892222278962370389737472000000000000000000000000"
+ "0000000000000000000000000");
+ BigUnsigned<84> evens(1u);
+ BigUnsigned<84> odds(1u);
+ for (uint32_t i = 1; i < 200; i += 2) {
+ odds.MultiplyBy(i);
+ evens.MultiplyBy(i + 1);
+ }
+ evens.MultiplyBy(odds);
+ EXPECT_EQ(evens, factorial_200);
+ }
+ {
+ // Multiply various powers of 10 together.
+ for (int a = 0 ; a < 700; a += 25) {
+ SCOPED_TRACE(a);
+ BigUnsigned<84> a_value("3" + std::string(a, '0'));
+ for (int b = 0; b < (700 - a); b += 25) {
+ SCOPED_TRACE(b);
+ BigUnsigned<84> b_value("2" + std::string(b, '0'));
+ BigUnsigned<84> expected_product("6" + std::string(a + b, '0'));
+ b_value.MultiplyBy(a_value);
+ EXPECT_EQ(b_value, expected_product);
+ }
+ }
+ }
+}
+
+TEST(BigUnsigned, MultiplyByOverflow) {
+ {
+ // Check that multiplcation overflow predictably truncates.
+
+ // A big int with all bits on.
+ BigUnsigned<4> all_bits_on("340282366920938463463374607431768211455");
+ // Modulo 2**128, this is equal to -1. Therefore the square of this,
+ // modulo 2**128, should be 1.
+ all_bits_on.MultiplyBy(all_bits_on);
+ EXPECT_EQ(all_bits_on, BigUnsigned<4>(1u));
+ }
+ {
+ // Try multiplying a large bigint by 2**50, and compare the result to
+ // shifting.
+ BigUnsigned<4> value_1("12345678901234567890123456789012345678");
+ BigUnsigned<4> value_2("12345678901234567890123456789012345678");
+ BigUnsigned<4> two_to_fiftieth(1u);
+ two_to_fiftieth.ShiftLeft(50);
+
+ value_1.ShiftLeft(50);
+ value_2.MultiplyBy(two_to_fiftieth);
+ EXPECT_EQ(value_1, value_2);
+ }
+}
+
+TEST(BigUnsigned, FiveToTheNth) {
+ {
+ // Sanity check that MultiplyByFiveToTheNth gives consistent answers, up to
+ // and including overflow.
+ for (int i = 0; i < 1160; ++i) {
+ SCOPED_TRACE(i);
+ BigUnsigned<84> value_1(123u);
+ BigUnsigned<84> value_2(123u);
+ value_1.MultiplyByFiveToTheNth(i);
+ for (int j = 0; j < i; j++) {
+ value_2.MultiplyBy(5u);
+ }
+ EXPECT_EQ(value_1, value_2);
+ }
+ }
+ {
+ // Check that the faster, table-lookup-based static method returns the same
+ // result that multiplying in-place would return, up to and including
+ // overflow.
+ for (int i = 0; i < 1160; ++i) {
+ SCOPED_TRACE(i);
+ BigUnsigned<84> value_1(1u);
+ value_1.MultiplyByFiveToTheNth(i);
+ BigUnsigned<84> value_2 = BigUnsigned<84>::FiveToTheNth(i);
+ EXPECT_EQ(value_1, value_2);
+ }
+ }
+}
+
+TEST(BigUnsigned, TenToTheNth) {
+ {
+ // Sanity check MultiplyByTenToTheNth.
+ for (int i = 0; i < 800; ++i) {
+ SCOPED_TRACE(i);
+ BigUnsigned<84> value_1(123u);
+ BigUnsigned<84> value_2(123u);
+ value_1.MultiplyByTenToTheNth(i);
+ for (int j = 0; j < i; j++) {
+ value_2.MultiplyBy(10u);
+ }
+ EXPECT_EQ(value_1, value_2);
+ }
+ }
+ {
+ // Alternate testing approach, taking advantage of the decimal parser.
+ for (int i = 0; i < 200; ++i) {
+ SCOPED_TRACE(i);
+ BigUnsigned<84> value_1(135u);
+ value_1.MultiplyByTenToTheNth(i);
+ BigUnsigned<84> value_2("135" + std::string(i, '0'));
+ EXPECT_EQ(value_1, value_2);
+ }
+ }
+}
+
+
+} // namespace strings_internal
+} // namespace absl