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author | Daniel Baumann <daniel.baumann@progress-linux.org> | 2024-04-07 09:06:44 +0000 |
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committer | Daniel Baumann <daniel.baumann@progress-linux.org> | 2024-04-07 09:06:44 +0000 |
commit | ed5640d8b587fbcfed7dd7967f3de04b37a76f26 (patch) | |
tree | 7a5f7c6c9d02226d7471cb3cc8fbbf631b415303 /tools/source/misc/fix16.cxx | |
parent | Initial commit. (diff) | |
download | libreoffice-cb75148ebd0135178ff46f89a30139c44f8d2040.tar.xz libreoffice-cb75148ebd0135178ff46f89a30139c44f8d2040.zip |
Adding upstream version 4:7.4.7.upstream/4%7.4.7upstream
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'tools/source/misc/fix16.cxx')
-rw-r--r-- | tools/source/misc/fix16.cxx | 172 |
1 files changed, 172 insertions, 0 deletions
diff --git a/tools/source/misc/fix16.cxx b/tools/source/misc/fix16.cxx new file mode 100644 index 000000000..978f77291 --- /dev/null +++ b/tools/source/misc/fix16.cxx @@ -0,0 +1,172 @@ +/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4; fill-column: 100 -*- */ +/* + * libfixmath is Copyright (c) 2011-2021 Flatmush <Flatmush@gmail.com>, + * Petteri Aimonen <Petteri.Aimonen@gmail.com>, & libfixmath AUTHORS + * + * Permission is hereby granted, free of charge, to any person obtaining a copy + * of this software and associated documentation files (the "Software"), to deal + * in the Software without restriction, including without limitation the rights + * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell + * copies of the Software, and to permit persons to whom the Software is + * furnished to do so, subject to the following conditions: + * + * The above copyright notice and this permission notice shall be included in all + * copies or substantial portions of the Software. + * + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE + * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, + * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE + * SOFTWARE. + */ + +#include <tools/fix16.hxx> + +const fix16_t fix16_minimum = 0x80000000; /*!< the minimum value of fix16_t */ +const fix16_t fix16_overflow = 0x80000000; /*!< the value used to indicate overflows */ + +static inline uint32_t fix_abs(fix16_t in) +{ + if (in == fix16_minimum) + { + // minimum negative number has same representation as + // its absolute value in unsigned + return 0x80000000; + } + else + { + return (in >= 0) ? in : -in; + } +} + +/* 64-bit implementation for fix16_mul. Fastest version for e.g. ARM Cortex M3. + * Performs a 32*32 -> 64bit multiplication. The middle 32 bits are the result, + * bottom 16 bits are used for rounding, and upper 16 bits are used for overflow + * detection. + */ + +fix16_t fix16_mul(fix16_t inArg0, fix16_t inArg1) +{ + int64_t product = static_cast<int64_t>(inArg0) * inArg1; + + // The upper 17 bits should all be the same (the sign). + uint32_t upper = (product >> 47); + + if (product < 0) + { + if (~upper) + return fix16_overflow; + + // This adjustment is required in order to round -1/2 correctly + product--; + } + else + { + if (upper) + return fix16_overflow; + } + + fix16_t result = product >> 16; + result += (product & 0x8000) >> 15; + + return result; +} + +/* 32-bit implementation of fix16_div. Fastest version for e.g. ARM Cortex M3. + * Performs 32-bit divisions repeatedly to reduce the remainder. For this to + * be efficient, the processor has to have 32-bit hardware division. + */ +#ifdef __GNUC__ +// Count leading zeros, using processor-specific instruction if available. +#define clz(x) (__builtin_clzl(x) - (8 * sizeof(long) - 32)) +#else +static uint8_t clz(uint32_t x) +{ + uint8_t result = 0; + if (x == 0) + return 32; + while (!(x & 0xF0000000)) + { + result += 4; + x <<= 4; + } + while (!(x & 0x80000000)) + { + result += 1; + x <<= 1; + } + return result; +} +#endif + +fix16_t fix16_div(fix16_t a, fix16_t b) +{ + // This uses a hardware 32/32 bit division multiple times, until we have + // computed all the bits in (a<<17)/b. Usually this takes 1-3 iterations. + + if (b == 0) + return fix16_minimum; + + uint32_t remainder = fix_abs(a); + uint32_t divider = fix_abs(b); + uint64_t quotient = 0; + int bit_pos = 17; + + // Kick-start the division a bit. + // This improves speed in the worst-case scenarios where N and D are large + // It gets a lower estimate for the result by N/(D >> 17 + 1). + if (divider & 0xFFF00000) + { + uint32_t shifted_div = (divider >> 17) + 1; + quotient = remainder / shifted_div; + uint64_t tmp = (quotient * static_cast<uint64_t>(divider)) >> 17; + remainder -= static_cast<uint32_t>(tmp); + } + + // If the divider is divisible by 2^n, take advantage of it. + while (!(divider & 0xF) && bit_pos >= 4) + { + divider >>= 4; + bit_pos -= 4; + } + + while (remainder && bit_pos >= 0) + { + // Shift remainder as much as we can without overflowing + int shift = clz(remainder); + if (shift > bit_pos) + shift = bit_pos; + remainder <<= shift; + bit_pos -= shift; + + uint32_t div = remainder / divider; + remainder = remainder % divider; + quotient += static_cast<uint64_t>(div) << bit_pos; + + if (div & ~(0xFFFFFFFF >> bit_pos)) + return fix16_overflow; + + remainder <<= 1; + bit_pos--; + } + + // Quotient is always positive so rounding is easy + quotient++; + + fix16_t result = quotient >> 1; + + // Figure out the sign of the result + if ((a ^ b) & 0x80000000) + { + if (result == fix16_minimum) + return fix16_overflow; + + result = -result; + } + + return result; +} + +/* vim:set shiftwidth=4 softtabstop=4 expandtab cinoptions=b1,g0,N-s cinkeys+=0=break: */ |