/* * Licensed to the Apache Software Foundation (ASF) under one * or more contributor license agreements. See the NOTICE file * distributed with this work for additional information * regarding copyright ownership. The ASF licenses this file * to you 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. */ #ifndef KXP_BYTE_LOOKUP_HPP_ #define KXP_BYTE_LOOKUP_HPP_ namespace datasketches { // the table was created by the following procedure: //void fill_kxp_byte_table() { // for (int byte = 0; byte < 256; byte++) { // double sum = 0.0; // for (int col = 0; col < 8; col++) { // const uint8_t bit = (byte >> col) & 1; // if (bit == 0) { // note the inverted logic // sum += INVERSE_POWERS_OF_2[col + 1]; // note the "+1" // } // } // kxp_byte_table[byte] = sum; // // printf("%.17g", kxp_byte_table[byte]); // if (byte != 255) printf(", "); // if ((byte + 1) % 8 == 0) printf("\n"); // } //} static const double KXP_BYTE_TABLE[256] = { 0.99609375, 0.49609375, 0.74609375, 0.24609375, 0.87109375, 0.37109375, 0.62109375, 0.12109375, 0.93359375, 0.43359375, 0.68359375, 0.18359375, 0.80859375, 0.30859375, 0.55859375, 0.05859375, 0.96484375, 0.46484375, 0.71484375, 0.21484375, 0.83984375, 0.33984375, 0.58984375, 0.08984375, 0.90234375, 0.40234375, 0.65234375, 0.15234375, 0.77734375, 0.27734375, 0.52734375, 0.02734375, 0.98046875, 0.48046875, 0.73046875, 0.23046875, 0.85546875, 0.35546875, 0.60546875, 0.10546875, 0.91796875, 0.41796875, 0.66796875, 0.16796875, 0.79296875, 0.29296875, 0.54296875, 0.04296875, 0.94921875, 0.44921875, 0.69921875, 0.19921875, 0.82421875, 0.32421875, 0.57421875, 0.07421875, 0.88671875, 0.38671875, 0.63671875, 0.13671875, 0.76171875, 0.26171875, 0.51171875, 0.01171875, 0.98828125, 0.48828125, 0.73828125, 0.23828125, 0.86328125, 0.36328125, 0.61328125, 0.11328125, 0.92578125, 0.42578125, 0.67578125, 0.17578125, 0.80078125, 0.30078125, 0.55078125, 0.05078125, 0.95703125, 0.45703125, 0.70703125, 0.20703125, 0.83203125, 0.33203125, 0.58203125, 0.08203125, 0.89453125, 0.39453125, 0.64453125, 0.14453125, 0.76953125, 0.26953125, 0.51953125, 0.01953125, 0.97265625, 0.47265625, 0.72265625, 0.22265625, 0.84765625, 0.34765625, 0.59765625, 0.09765625, 0.91015625, 0.41015625, 0.66015625, 0.16015625, 0.78515625, 0.28515625, 0.53515625, 0.03515625, 0.94140625, 0.44140625, 0.69140625, 0.19140625, 0.81640625, 0.31640625, 0.56640625, 0.06640625, 0.87890625, 0.37890625, 0.62890625, 0.12890625, 0.75390625, 0.25390625, 0.50390625, 0.00390625, 0.9921875, 0.4921875, 0.7421875, 0.2421875, 0.8671875, 0.3671875, 0.6171875, 0.1171875, 0.9296875, 0.4296875, 0.6796875, 0.1796875, 0.8046875, 0.3046875, 0.5546875, 0.0546875, 0.9609375, 0.4609375, 0.7109375, 0.2109375, 0.8359375, 0.3359375, 0.5859375, 0.0859375, 0.8984375, 0.3984375, 0.6484375, 0.1484375, 0.7734375, 0.2734375, 0.5234375, 0.0234375, 0.9765625, 0.4765625, 0.7265625, 0.2265625, 0.8515625, 0.3515625, 0.6015625, 0.1015625, 0.9140625, 0.4140625, 0.6640625, 0.1640625, 0.7890625, 0.2890625, 0.5390625, 0.0390625, 0.9453125, 0.4453125, 0.6953125, 0.1953125, 0.8203125, 0.3203125, 0.5703125, 0.0703125, 0.8828125, 0.3828125, 0.6328125, 0.1328125, 0.7578125, 0.2578125, 0.5078125, 0.0078125, 0.984375, 0.484375, 0.734375, 0.234375, 0.859375, 0.359375, 0.609375, 0.109375, 0.921875, 0.421875, 0.671875, 0.171875, 0.796875, 0.296875, 0.546875, 0.046875, 0.953125, 0.453125, 0.703125, 0.203125, 0.828125, 0.328125, 0.578125, 0.078125, 0.890625, 0.390625, 0.640625, 0.140625, 0.765625, 0.265625, 0.515625, 0.015625, 0.96875, 0.46875, 0.71875, 0.21875, 0.84375, 0.34375, 0.59375, 0.09375, 0.90625, 0.40625, 0.65625, 0.15625, 0.78125, 0.28125, 0.53125, 0.03125, 0.9375, 0.4375, 0.6875, 0.1875, 0.8125, 0.3125, 0.5625, 0.0625, 0.875, 0.375, 0.625, 0.125, 0.75, 0.25, 0.5, 0 }; } /* namespace datasketches */ #endif