/* ** 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: oper_32b.c Content: This file contains operations in double precision. *******************************************************************************/ #include "typedef.h" #include "basic_op.h" #include "oper_32b.h" /***************************************************************************** * * * Function L_Extract() * * * * Extract from a 32 bit integer two 16 bit DPF. * * * * Arguments: * * * * L_32 : 32 bit integer. * * 0x8000 0000 <= L_32 <= 0x7fff ffff. * * hi : b16 to b31 of L_32 * * lo : (L_32 - hi<<16)>>1 * ***************************************************************************** */ void L_Extract (Word32 L_32, Word16 *hi, Word16 *lo) { *hi = extract_h (L_32); *lo = extract_l (L_msu (L_shr (L_32, 1), *hi, 16384)); return; } /***************************************************************************** * * * Function L_Comp() * * * * Compose from two 16 bit DPF a 32 bit integer. * * * * L_32 = hi<<16 + lo<<1 * * * * Arguments: * * * * hi msb * * lo lsf (with sign) * * * * Return Value : * * * * 32 bit long signed integer (Word32) whose value falls in the * * range : 0x8000 0000 <= L_32 <= 0x7fff fff0. * * * ***************************************************************************** */ Word32 L_Comp (Word16 hi, Word16 lo) { Word32 L_32; L_32 = L_deposit_h (hi); return (L_mac (L_32, lo, 1)); /* = hi<<16 + lo<<1 */ } /***************************************************************************** * Function Mpy_32() * * * * Multiply two 32 bit integers (DPF). The result is divided by 2**31 * * * * L_32 = (hi1*hi2)<<1 + ( (hi1*lo2)>>15 + (lo1*hi2)>>15 )<<1 * * * * This operation can also be viewed as the multiplication of two Q31 * * number and the result is also in Q31. * * * * Arguments: * * * * hi1 hi part of first number * * lo1 lo part of first number * * hi2 hi part of second number * * lo2 lo part of second number * * * ***************************************************************************** */ Word32 Mpy_32 (Word16 hi1, Word16 lo1, Word16 hi2, Word16 lo2) { Word32 L_32; L_32 = L_mult (hi1, hi2); L_32 = L_mac (L_32, mult (hi1, lo2), 1); L_32 = L_mac (L_32, mult (lo1, hi2), 1); return (L_32); } /***************************************************************************** * Function Mpy_32_16() * * * * Multiply a 16 bit integer by a 32 bit (DPF). The result is divided * * by 2**15 * * * * * * L_32 = (hi1*lo2)<<1 + ((lo1*lo2)>>15)<<1 * * * * Arguments: * * * * hi hi part of 32 bit number. * * lo lo part of 32 bit number. * * n 16 bit number. * * * ***************************************************************************** */ Word32 Mpy_32_16 (Word16 hi, Word16 lo, Word16 n) { Word32 L_32; L_32 = L_mult (hi, n); L_32 = L_mac (L_32, mult (lo, n), 1); return (L_32); } /***************************************************************************** * * * Function Name : Div_32 * * * * Purpose : * * Fractional integer division of two 32 bit numbers. * * L_num / L_denom. * * L_num and L_denom must be positive and L_num < L_denom. * * L_denom = denom_hi<<16 + denom_lo<<1 * * denom_hi is a normalize number. * * * * Inputs : * * * * L_num * * 32 bit long signed integer (Word32) whose value falls in the * * range : 0x0000 0000 < L_num < L_denom * * * * L_denom = denom_hi<<16 + denom_lo<<1 (DPF) * * * * denom_hi * * 16 bit positive normalized integer whose value falls in the * * range : 0x4000 < hi < 0x7fff * * denom_lo * * 16 bit positive integer whose value falls in the * * range : 0 < lo < 0x7fff * * * * Return Value : * * * * L_div * * 32 bit long signed integer (Word32) whose value falls in the * * range : 0x0000 0000 <= L_div <= 0x7fff ffff. * * * * Algorithm: * * * * - find = 1/L_denom. * * First approximation: approx = 1 / denom_hi * * 1/L_denom = approx * (2.0 - L_denom * approx ) * * * * - result = L_num * (1/L_denom) * ***************************************************************************** */ Word32 Div_32 (Word32 L_num, Word32 denom) { Word16 approx; Word32 L_32; /* First approximation: 1 / L_denom = 1/denom_hi */ approx = div_s ((Word16) 0x3fff, denom >> 16); /* 1/L_denom = approx * (2.0 - L_denom * approx) */ L_32 = L_mpy_ls (denom, approx); L_32 = L_sub ((Word32) 0x7fffffffL, L_32); L_32 = L_mpy_ls (L_32, approx); /* L_num * (1/L_denom) */ L_32 = MULHIGH(L_32, L_num); L_32 = L_shl (L_32, 3); return (L_32); } /*! \brief calculates the log dualis times 4 of argument iLog4(x) = (Word32)(4 * log(value)/log(2.0)) \return ilog4 value */ Word16 iLog4(Word32 value) { Word16 iLog4; if(value != 0){ Word32 tmp; Word16 tmp16; iLog4 = norm_l(value); tmp = (value << iLog4); tmp16 = round16(tmp); tmp = L_mult(tmp16, tmp16); tmp16 = round16(tmp); tmp = L_mult(tmp16, tmp16); tmp16 = round16(tmp); iLog4 = (-(iLog4 << 2) - norm_s(tmp16)) - 1; } else { iLog4 = -128; /* -(INT_BITS*4); */ } return iLog4; } #define step(shift) \ if ((0x40000000l >> shift) + root <= value) \ { \ value -= (0x40000000l >> shift) + root; \ root = (root >> 1) | (0x40000000l >> shift); \ } else { \ root = root >> 1; \ } Word32 rsqrt(Word32 value, /*!< Operand to square root (0.0 ... 1) */ Word32 accuracy) /*!< Number of valid bits that will be calculated */ { Word32 root = 0; Word32 scale; if(value < 0) return 0; scale = norm_l(value); if(scale & 1) scale--; value <<= scale; step( 0); step( 2); step( 4); step( 6); step( 8); step(10); step(12); step(14); step(16); step(18); step(20); step(22); step(24); step(26); step(28); step(30); scale >>= 1; if (root < value) ++root; root >>= scale; return root* 46334; } static const Word32 pow2Table[POW2_TABLE_SIZE] = { 0x7fffffff, 0x7fa765ad, 0x7f4f08ae, 0x7ef6e8da, 0x7e9f0606, 0x7e476009, 0x7deff6b6, 0x7d98c9e6, 0x7d41d96e, 0x7ceb2523, 0x7c94acde, 0x7c3e7073, 0x7be86fb9, 0x7b92aa88, 0x7b3d20b6, 0x7ae7d21a, 0x7a92be8b, 0x7a3de5df, 0x79e947ef, 0x7994e492, 0x7940bb9e, 0x78ecccec, 0x78991854, 0x78459dac, 0x77f25cce, 0x779f5591, 0x774c87cc, 0x76f9f359, 0x76a7980f, 0x765575c8, 0x76038c5b, 0x75b1dba2, 0x75606374, 0x750f23ab, 0x74be1c20, 0x746d4cac, 0x741cb528, 0x73cc556d, 0x737c2d55, 0x732c3cba, 0x72dc8374, 0x728d015d, 0x723db650, 0x71eea226, 0x719fc4b9, 0x71511de4, 0x7102ad80, 0x70b47368, 0x70666f76, 0x7018a185, 0x6fcb096f, 0x6f7da710, 0x6f307a41, 0x6ee382de, 0x6e96c0c3, 0x6e4a33c9, 0x6dfddbcc, 0x6db1b8a8, 0x6d65ca38, 0x6d1a1057, 0x6cce8ae1, 0x6c8339b2, 0x6c381ca6, 0x6bed3398, 0x6ba27e66, 0x6b57fce9, 0x6b0daeff, 0x6ac39485, 0x6a79ad56, 0x6a2ff94f, 0x69e6784d, 0x699d2a2c, 0x69540ec9, 0x690b2601, 0x68c26fb1, 0x6879ebb6, 0x683199ed, 0x67e97a34, 0x67a18c68, 0x6759d065, 0x6712460b, 0x66caed35, 0x6683c5c3, 0x663ccf92, 0x65f60a80, 0x65af766a, 0x6569132f, 0x6522e0ad, 0x64dcdec3, 0x64970d4f, 0x64516c2e, 0x640bfb41, 0x63c6ba64, 0x6381a978, 0x633cc85b, 0x62f816eb, 0x62b39509, 0x626f4292, 0x622b1f66, 0x61e72b65, 0x61a3666d, 0x615fd05f, 0x611c6919, 0x60d9307b, 0x60962665, 0x60534ab7, 0x60109d51, 0x5fce1e12, 0x5f8bccdb, 0x5f49a98c, 0x5f07b405, 0x5ec5ec26, 0x5e8451d0, 0x5e42e4e3, 0x5e01a540, 0x5dc092c7, 0x5d7fad59, 0x5d3ef4d7, 0x5cfe6923, 0x5cbe0a1c, 0x5c7dd7a4, 0x5c3dd19c, 0x5bfdf7e5, 0x5bbe4a61, 0x5b7ec8f2, 0x5b3f7377, 0x5b0049d4, 0x5ac14bea, 0x5a82799a, 0x5a43d2c6, 0x5a055751, 0x59c7071c, 0x5988e209, 0x594ae7fb, 0x590d18d3, 0x58cf7474, 0x5891fac1, 0x5854ab9b, 0x581786e6, 0x57da8c83, 0x579dbc57, 0x57611642, 0x57249a29, 0x56e847ef, 0x56ac1f75, 0x567020a0, 0x56344b52, 0x55f89f70, 0x55bd1cdb, 0x5581c378, 0x55469329, 0x550b8bd4, 0x54d0ad5b, 0x5495f7a1, 0x545b6a8b, 0x542105fd, 0x53e6c9db, 0x53acb607, 0x5372ca68, 0x533906e0, 0x52ff6b55, 0x52c5f7aa, 0x528cabc3, 0x52538786, 0x521a8ad7, 0x51e1b59a, 0x51a907b4, 0x5170810b, 0x51382182, 0x50ffe8fe, 0x50c7d765, 0x508fec9c, 0x50582888, 0x50208b0e, 0x4fe91413, 0x4fb1c37c, 0x4f7a9930, 0x4f439514, 0x4f0cb70c, 0x4ed5ff00, 0x4e9f6cd4, 0x4e69006e, 0x4e32b9b4, 0x4dfc988c, 0x4dc69cdd, 0x4d90c68b, 0x4d5b157e, 0x4d25899c, 0x4cf022ca, 0x4cbae0ef, 0x4c85c3f1, 0x4c50cbb8, 0x4c1bf829, 0x4be7492b, 0x4bb2bea5, 0x4b7e587d, 0x4b4a169c, 0x4b15f8e6, 0x4ae1ff43, 0x4aae299b, 0x4a7a77d5, 0x4a46e9d6, 0x4a137f88, 0x49e038d0, 0x49ad1598, 0x497a15c4, 0x4947393f, 0x49147fee, 0x48e1e9ba, 0x48af768a, 0x487d2646, 0x484af8d6, 0x4818ee22, 0x47e70611, 0x47b5408c, 0x47839d7b, 0x47521cc6, 0x4720be55, 0x46ef8210, 0x46be67e0, 0x468d6fae, 0x465c9961, 0x462be4e2, 0x45fb521a, 0x45cae0f2, 0x459a9152, 0x456a6323, 0x453a564d, 0x450a6abb, 0x44daa054, 0x44aaf702, 0x447b6ead, 0x444c0740, 0x441cc0a3, 0x43ed9ac0, 0x43be9580, 0x438fb0cb, 0x4360ec8d, 0x433248ae, 0x4303c517, 0x42d561b4, 0x42a71e6c, 0x4278fb2b, 0x424af7da, 0x421d1462, 0x41ef50ae, 0x41c1aca8, 0x41942839, 0x4166c34c, 0x41397dcc, 0x410c57a2, 0x40df50b8, 0x40b268fa, 0x4085a051, 0x4058f6a8, 0x402c6be9 }; /*! \brief calculates 2 ^ (x/y) for x<=0, y > 0, x <= 32768 * y avoids integer division \return */ Word32 pow2_xy(Word32 x, Word32 y) { UWord32 iPart; UWord32 fPart; Word32 res; Word32 tmp, tmp2; Word32 shift, shift2; tmp2 = -x; iPart = tmp2 / y; fPart = tmp2 - iPart*y; iPart = min(iPart,INT_BITS-1); res = pow2Table[(POW2_TABLE_SIZE*fPart)/y] >> iPart; return(res); }