Add double to bit encoding for OrderedCode

packages/firestore/src/index/ordered_code_writer.ts

@@ -14,51 +14,189 @@
  * See the License for the specific language governing permissions and
  * limitations under the License.
  */
-import { fail } from '../util/assert';
+import { debugAssert, fail } from '../util/assert';
 import { ByteString } from '../util/byte_string';
 
+const LONG_SIZE = 64;
+const BYTE_SIZE = 8;
+
+/**
+ * The default size of the buffer. This is arbitrary, but likely larger than
+ * most index values so that less copies of the underlying buffer will be made.
+ * For large values, a single copy will made to double the buffer length.
+ */
+const DEFAULT_BUFFER_SIZE = 1024;
+
+/** Converts a JavaScript number to a byte array (using big endian encoding). */
+function doubleToLongBits(value: number): Uint8Array {
+  const dv = new DataView(new ArrayBuffer(8));
+  dv.setFloat64(0, value, /* littleEndian= */ false);
+  return new Uint8Array(dv.buffer);
+}
+
+/**
+ * Counts the number of zeros in a byte.
+ *
+ * Visible for testing.
+ */
+export function numberOfLeadingZerosInByte(x: number): number {
+  debugAssert(x < 256, 'Provided value is not a byte: ' + x);
+  if (x === 0) {
+    return 8;
+  }
+
+  let zeros = 0;
+  if (x >> 4 === 0) {
+    // Test if the first four bits are zero.
+    zeros += 4;
+    x = x << 4;
+  }
+  if (x >> 6 === 0) {
+    // Test if the first two (or next two) bits are zero.
+    zeros += 2;
+    x = x << 2;
+  }
+  if (x >> 7 === 0) {
+    // Test if the remaining bit is zero.
+    zeros += 1;
+  }
+  return zeros;
+}
+
+/** Counts the number of leading zeros in the given byte array. */
+function numberOfLeadingZeros(bytes: Uint8Array): number {
+  debugAssert(
+    bytes.length === 8,
+    'Can only count leading zeros in 64-bit numbers'
+  );
+  let leadingZeros = 0;
+  for (let i = 0; i < 8; ++i) {
+    const zeros = numberOfLeadingZerosInByte(bytes[i] & 0xff);
+    leadingZeros += zeros;
+    if (zeros !== 8) {
+      break;
+    }
+  }
+  return leadingZeros;
+}
+
+/**
+ * Returns the number of bytes required to store "value". Leading zero bytes
+ * are skipped.
+ */
+function unsignedNumLength(value: Uint8Array): number {
+  // This is just the number of bytes for the unsigned representation of the number.
+  const numBits = LONG_SIZE - numberOfLeadingZeros(value);
+  return Math.ceil(numBits / BYTE_SIZE);
+}
+
+/**
+ * OrderedCodeWriter is a minimal-allocation implementation of the writing
+ * behavior defined by the backend.
+ *
+ * The code is ported from its Java counterpart.
+ */
 export class OrderedCodeWriter {
-  writeBytesAscending(value: ByteString): void {
-    fail('Not implemented');
+  buffer = new Uint8Array(DEFAULT_BUFFER_SIZE);
+  position = 0;
+
+  writeNumberAscending(val: number): void {
+    // Values are encoded with a single byte length prefix, followed by the
+    // actual value in big-endian format with leading 0 bytes dropped.
+    const value = this.toOrderedBits(val);
+    const len = unsignedNumLength(value);
+    this.ensureAvailable(1 + len);
+    this.buffer[this.position++] = len & 0xff; // Write the length
+    for (let i = value.length - len; i < value.length; ++i) {
+      this.buffer[this.position++] = value[i] & 0xff;
+    }
   }
 
-  writeBytesDescending(value: ByteString): void {
-    fail('Not implemented');
+  writeNumberDescending(val: number): void {
+    // Values are encoded with a single byte length prefix, followed by the
+    // inverted value in big-endian format with leading 0 bytes dropped.
+    const value = this.toOrderedBits(val);
+    const len = unsignedNumLength(value);
+    this.ensureAvailable(1 + len);
+    this.buffer[this.position++] = ~(len & 0xff); // Write the length
+    for (let i = value.length - len; i < value.length; ++i) {
+      this.buffer[this.position++] = ~(value[i] & 0xff);
+    }
   }
 
-  writeUtf8Ascending(sequence: string): void {
-    fail('Not implemented');
+  /**
+   * Encodes `val` into an encoding so that the order matches the IEEE 754
+   * floating-point comparison results with the following exceptions:
+   *   -0.0 < 0.0
+   *   all non-NaN < NaN
+   *   NaN = NaN
+   */
+  private toOrderedBits(val: number): Uint8Array {
+    const value = doubleToLongBits(val);
+    // Check if the first bit is set. We use a bit mask since value[0] is
+    // encoded as a number from 0 to 255.
+    const isNegative = (value[0] & 0x80) !== 0;
+
+    // Revert the two complement to get natural ordering
+    value[0] ^= isNegative ? 0xff : 0x80;
+    for (let i = 1; i < value.length; ++i) {
+      value[i] ^= isNegative ? 0xff : 0x00;
+    }
+    return value;
   }
 
-  writeUtf8Descending(sequence: string): void {
-    fail('Not implemented');
+  /** Resets the buffer such that it is the same as when it was newly constructed.  */
+  reset(): void {
+    this.position = 0;
   }
 
-  writeNumberAscending(val: number): void {
+  /** Makes a copy of the encoded bytes in this buffer.  */
+  encodedBytes(): Uint8Array {
+    return this.buffer.slice(0, this.position);
+  }
+
+  writeBytesAscending(value: ByteString): void {
     fail('Not implemented');
   }
 
-  writeNumberDescending(val: number): void {
+  writeBytesDescending(value: ByteString): void {
     fail('Not implemented');
   }
 
-  writeInfinityAscending(): void {
+  writeUtf8Ascending(sequence: string): void {
     fail('Not implemented');
   }
 
-  writeInfinityDescending(): void {
+  writeUtf8Descending(sequence: string): void {
     fail('Not implemented');
   }
 
-  reset(): void {
+  writeInfinityAscending(): void {
     fail('Not implemented');
   }
 
-  encodedBytes(): Uint8Array {
+  writeInfinityDescending(): void {
     fail('Not implemented');
   }
 
   seed(encodedBytes: Uint8Array): void {
     fail('Not implemented');
   }
+
+  private ensureAvailable(bytes: number): void {
+    const minCapacity = bytes + this.position;
+    if (minCapacity <= this.buffer.length) {
+      return;
+    }
+    // Try doubling.
+    let newLength = this.buffer.length * 2;
+    // Still not big enough? Just allocate the right size.
+    if (newLength < minCapacity) {
+      newLength = minCapacity;
+    }
+    // Create the new buffer.
+    const newBuffer = new Uint8Array(newLength);
+    newBuffer.set(this.buffer); // copy old data
+    this.buffer = newBuffer;
+  }
 }

packages/firestore/test/unit/index/ordered_code_writer.test.ts

@@ -0,0 +1,158 @@
+/**
+ * @license
+ * Copyright 2021 Google LLC
+ *
+ * Licensed under the Apache License, Version 2.0x00 (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-2.0x00
+ *
+ * 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.
+ */
+import { expect } from 'chai';
+
+import {
+  numberOfLeadingZerosInByte,
+  OrderedCodeWriter
+} from '../../../src/index/ordered_code_writer';
+
+class ValueTestCase<T> {
+  constructor(
+    readonly val: T,
+    readonly ascString: string,
+    readonly descString: string
+  ) {}
+}
+
+const NUMBER_TEST_CASES: Array<ValueTestCase<number>> = [
+  new ValueTestCase(
+    Number.NEGATIVE_INFINITY,
+    // Note: This values are taken from the Android reference implementation
+    '070fffffffffffff',
+    'f8f0000000000000'
+  ),
+  new ValueTestCase(
+    Number.MIN_SAFE_INTEGER,
+    '083cc0000000000000',
+    'f7c33fffffffffffff'
+  ),
+  new ValueTestCase(-2, '083fffffffffffffff', 'f7c000000000000000'),
+  new ValueTestCase(-1, '08400fffffffffffff', 'f7bff0000000000000'),
+  new ValueTestCase(-0.1, '084046666666666665', 'f7bfb999999999999a'),
+  new ValueTestCase(-0.0, '087fffffffffffffff', 'f78000000000000000'),
+  new ValueTestCase(0, '088000000000000000', 'f77fffffffffffffff'),
+  new ValueTestCase(
+    Number.MIN_VALUE,
+    '088000000000000001',
+    'f77ffffffffffffffe'
+  ),
+  new ValueTestCase(0.1, '08bfb999999999999a', 'f74046666666666665'),
+  new ValueTestCase(1, '08bff0000000000000', 'f7400fffffffffffff'),
+  new ValueTestCase(2, '08c000000000000000', 'f73fffffffffffffff'),
+  new ValueTestCase(4, '08c010000000000000', 'f73fefffffffffffff'),
+  new ValueTestCase(8, '08c020000000000000', 'f73fdfffffffffffff'),
+  new ValueTestCase(16, '08c030000000000000', 'f73fcfffffffffffff'),
+  new ValueTestCase(32, '08c040000000000000', 'f73fbfffffffffffff'),
+  new ValueTestCase(64, '08c050000000000000', 'f73fafffffffffffff'),
+  new ValueTestCase(128, '08c060000000000000', 'f73f9fffffffffffff'),
+  new ValueTestCase(255, '08c06fe00000000000', 'f73f901fffffffffff'),
+  new ValueTestCase(256, '08c070000000000000', 'f73f8fffffffffffff'),
+  new ValueTestCase(257, '08c070100000000000', 'f73f8fefffffffffff'),
+  new ValueTestCase(
+    Number.MAX_SAFE_INTEGER,
+    '08c33fffffffffffff',
+    'f73cc0000000000000'
+  ),
+  new ValueTestCase(
+    Number.POSITIVE_INFINITY,
+    '08fff0000000000000',
+    'f7000fffffffffffff'
+  ),
+  new ValueTestCase(Number.NaN, '08fff8000000000000', 'f70007ffffffffffff')
+];
+
+describe('Ordered Code Writer', () => {
+  it('computes number of leading zeros', () => {
+    for (let i = 0; i < 0xff; ++i) {
+      let zeros = 0;
+      for (let bit = 7; bit >= 0; --bit) {
+        if ((i & (1 << bit)) === 0) {
+          ++zeros;
+        } else {
+          break;
+        }
+      }
+      expect(numberOfLeadingZerosInByte(i)).to.equal(zeros, `for number ${i}`);
+    }
+  });
+
+  it('converts numbers to bits', () => {
+    for (let i = 0; i < NUMBER_TEST_CASES.length; ++i) {
+      const bytes = getBytes(NUMBER_TEST_CASES[i].val);
+      expect(bytes.asc).to.deep.equal(
+        fromHex(NUMBER_TEST_CASES[i].ascString),
+        'Ascending for ' + NUMBER_TEST_CASES[i].val
+      );
+      expect(bytes.desc).to.deep.equal(
+        fromHex(NUMBER_TEST_CASES[i].descString),
+        'Descending for ' + NUMBER_TEST_CASES[i].val
+      );
+    }
+  });
+
+  it('orders numbers correctly', () => {
+    for (let i = 0; i < NUMBER_TEST_CASES.length; ++i) {
+      for (let j = i; j < NUMBER_TEST_CASES.length; ++j) {
+        const left = NUMBER_TEST_CASES[i].val;
+        const leftBytes = getBytes(left);
+        const right = NUMBER_TEST_CASES[j].val;
+        const rightBytes = getBytes(right);
+        expect(compare(leftBytes.asc, rightBytes.asc)).to.equal(
+          i === j ? 0 : -1,
+          `Ascending order: ${left} vs ${right}`
+        );
+        expect(compare(leftBytes.desc, rightBytes.desc)).to.equal(
+          i === j ? 0 : 1,
+          `Descending order: ${left} vs ${right}`
+        );
+      }
+    }
+  });
+});
+
+function fromHex(hexString: string): Uint8Array {
+  const bytes = new Uint8Array(hexString.length / 2);
+  for (let c = 0; c < hexString.length; c += 2) {
+    bytes[c / 2] = parseInt(hexString.substr(c, 2), 16);
+  }
+  return bytes;
+}
+
+function compare(left: Uint8Array, right: Uint8Array): number {
+  for (let i = 0; i < Math.min(left.length, right.length); ++i) {
+    if (left[i] < right[i]) {
+      return -1;
+    }
+    if (left[i] > right[i]) {
+      return 1;
+    }
+  }
+  return left.length - right.length;
+}
+
+function getBytes(val: unknown): { asc: Uint8Array; desc: Uint8Array } {
+  const ascWriter = new OrderedCodeWriter();
+  const descWriter = new OrderedCodeWriter();
+  if (typeof val === 'number') {
+    ascWriter.writeNumberAscending(val);
+    descWriter.writeNumberDescending(val);
+  } else {
+    throw new Error('Encoding not yet supported for ' + val);
+  }
+  return { asc: ascWriter.encodedBytes(), desc: descWriter.encodedBytes() };
+}