/* ** Copyright 2003-2010, VisualOn, Inc. ** ** 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. */ /*********************************************************************** * * * File : log2.c * * Purpose : Computes log2(L_x) * * * ************************************************************************/ #include "log2.h" /******************************************************************************** * INCLUDE FILES *********************************************************************************/ #include "typedef.h" #include "basic_op.h" /********************************************************************************* * LOCAL VARIABLES AND TABLES **********************************************************************************/ #include "log2_tab.h" /* Table for Log2() */ /************************************************************************* * * FUNCTION: Log2_norm() * * PURPOSE: Computes log2(L_x, exp), where L_x is positive and * normalized, and exp is the normalisation exponent * If L_x is negative or zero, the result is 0. * * DESCRIPTION: * The function Log2(L_x) is approximated by a table and linear * interpolation. The following steps are used to compute Log2(L_x) * * 1- exponent = 30-norm_exponent * 2- i = bit25-b31 of L_x; 32<=i<=63 (because of normalization). * 3- a = bit10-b24 * 4- i -=32 * 5- fraction = table[i]<<16 - (table[i] - table[i+1]) * a * 2 * *************************************************************************/ void Log2_norm ( Word32 L_x, /* (i) : input value (normalized) */ Word16 exp, /* (i) : norm_l (L_x) */ Word16 *exponent, /* (o) : Integer part of Log2. (range: 0<=val<=30) */ Word16 *fraction /* (o) : Fractional part of Log2. (range: 0<=val<1) */ ) { Word16 i, a, tmp; Word32 L_y; if (L_x <= (Word32) 0) { *exponent = 0; *fraction = 0; return; } *exponent = (30 - exp); L_x = (L_x >> 9); i = extract_h (L_x); /* Extract b25-b31 */ L_x = (L_x >> 1); a = (Word16)(L_x); /* Extract b10-b24 of fraction */ a = (Word16)(a & (Word16)0x7fff); i -= 32; L_y = L_deposit_h (table[i]); /* table[i] << 16 */ tmp = vo_sub(table[i], table[i + 1]); /* table[i] - table[i+1] */ L_y = vo_L_msu (L_y, tmp, a); /* L_y -= tmp*a*2 */ *fraction = extract_h (L_y); return; } /************************************************************************* * * FUNCTION: Log2() * * PURPOSE: Computes log2(L_x), where L_x is positive. * If L_x is negative or zero, the result is 0. * * DESCRIPTION: * normalizes L_x and then calls Log2_norm(). * *************************************************************************/ void Log2 ( Word32 L_x, /* (i) : input value */ Word16 *exponent, /* (o) : Integer part of Log2. (range: 0<=val<=30) */ Word16 *fraction /* (o) : Fractional part of Log2. (range: 0<=val<1) */ ) { Word16 exp; exp = norm_l(L_x); Log2_norm ((L_x << exp), exp, exponent, fraction); }