Add 64-bit emulation for platforms that don't have a native 64-bit type.
This commit is contained in:
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098592de42
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92b1e60c4c
4 changed files with 634 additions and 7 deletions
264
src/Int64.c
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264
src/Int64.c
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@ -0,0 +1,264 @@
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/*
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* Copyright (C) 2022-2023 Jordan Bancino <@jordan:bancino.net>
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*
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* Permission is hereby granted, free of charge, to any person
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* obtaining a copy of this software and associated documentation files
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* (the "Software"), to deal in the Software without restriction,
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* including without limitation the rights to use, copy, modify, merge,
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* publish, distribute, sublicense, and/or sell copies of the Software,
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* and to permit persons to whom the Software is furnished to do so,
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* subject to the following conditions:
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*
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* The above copyright notice and this permission notice shall be
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* included in all copies or portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
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* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
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* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
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* NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS
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* BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
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* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
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* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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* SOFTWARE.
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*/
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#include <Int64.h>
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#include <stddef.h>
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#include <signal.h>
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size_t
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UInt64Str(UInt64 x, int base, char *out, size_t len)
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{
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static const char symbols[] = "0123456789ABCDEF";
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size_t i = len - 1;
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size_t j = 0;
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UInt64 base64 = UInt64Create(0, base);
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/* We only have symbols up to base 16 */
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if (base < 2 || base > 16)
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{
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return 0;
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}
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do
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{
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UInt64 mod = UInt64Rem(x, base64);
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UInt32 low = UInt64Low(mod);
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out[i] = symbols[low];
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i--;
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x = UInt64Div(x, base64);
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} while (UInt64Gt(x, UInt64Create(0, 0)));
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while (++i < len)
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{
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out[j++] = out[i];
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}
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out[j] = '\0';
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return j;
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}
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#ifndef UINT64_NATIVE
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/* No native 64-bit support, add our own */
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UInt64
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UInt64Create(UInt32 high, UInt32 low)
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{
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UInt64 x;
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x.i[0] = low;
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x.i[1] = high;
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return x;
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}
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UInt64
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UInt64Add(UInt64 x, UInt64 y)
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{
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UInt64 z = UInt64Create(0, 0);
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int carry;
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z.i[0] = x.i[0] + y.i[0];
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carry = z.i[0] < x.i[0];
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z.i[1] = x.i[1] + y.i[1] + carry;
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return z;
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}
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UInt64
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UInt64Sub(UInt64 x, UInt64 y)
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{
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UInt64 twosCompl = UInt64Add(UInt64Not(y), UInt64Create(0, 1));
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return UInt64Add(x, twosCompl);
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}
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UInt64
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UInt64Mul(UInt64 x, UInt64 y)
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{
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UInt64 z = UInt64Create(0, 0);
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/* while (y > 0) */
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while (UInt64Gt(y, UInt64Create(0, 0)))
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{
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/* if (y & 1 != 0) */
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if (UInt64Neq(UInt64And(y, UInt64Create(0, 1)), UInt64Create(0, 0)))
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{
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z = UInt64Add(z, x);
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}
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x = UInt64Sll(x, 1);
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y = UInt64Srl(y, 1);
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}
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return z;
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}
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typedef struct
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{
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UInt64 q;
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UInt64 r;
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} UInt64Ldiv;
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static UInt64Ldiv
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UInt64LongDivision(UInt64 n, UInt64 d)
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{
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UInt64Ldiv o;
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int i;
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o.q = UInt64Create(0, 0);
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o.r = UInt64Create(0, 0);
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if (UInt64Eq(d, UInt64Create(0, 0)))
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{
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raise(SIGFPE);
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return o;
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}
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for (i = 63; i >= 0; i--)
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{
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UInt64 bit = UInt64And(UInt64Srl(n, i), UInt64Create(0, 1));
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o.r = UInt64Sll(o.r, 1);
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o.r = UInt64Or(o.r, bit);
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if (UInt64Geq(o.r, d))
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{
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o.r = UInt64Sub(o.r, d);
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o.q = UInt64Or(o.q, UInt64Sll(UInt64Create(0, 1), i));
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}
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}
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return o;
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}
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UInt64
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UInt64Div(UInt64 x, UInt64 y)
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{
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return UInt64LongDivision(x, y).q;
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}
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UInt64
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UInt64Rem(UInt64 x, UInt64 y)
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{
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return UInt64LongDivision(x, y).r;
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}
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UInt64
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UInt64Sll(UInt64 x, int y)
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{
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UInt64 z;
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if (!y)
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{
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return x;
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}
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z = UInt64Create(0, 0);
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if (y < 32)
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{
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z.i[1] = (x.i[0] >> (32 - y)) | (x.i[1] << y);
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z.i[0] = x.i[0] << y;
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}
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else
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{
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z.i[1] = x.i[0] << (y - 32);
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}
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return z;
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}
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UInt64
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UInt64Srl(UInt64 x, int y)
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{
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UInt64 z;
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if (!y)
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{
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return x;
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}
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z = UInt64Create(0, 0);
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if (y < 32)
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{
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z.i[0] = (x.i[1] << (32 - y)) | (x.i[0] >> y);
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z.i[1] = x.i[1] >> y;
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}
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else
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{
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z.i[0] = x.i[1] >> (y - 32);
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}
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return z;
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}
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UInt64
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UInt64And(UInt64 x, UInt64 y)
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{
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return UInt64Create(x.i[1] & y.i[1], x.i[0] & y.i[0]);
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}
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UInt64
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UInt64Or(UInt64 x, UInt64 y)
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{
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return UInt64Create(x.i[1] | y.i[1], x.i[0] | y.i[0]);
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}
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UInt64
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UInt64Xor(UInt64 x, UInt64 y)
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{
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return UInt64Create(x.i[1] ^ y.i[1], x.i[0] ^ y.i[0]);
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}
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UInt64
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UInt64Not(UInt64 x)
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{
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return UInt64Create(~(x.i[1]), ~(x.i[0]));
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}
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int
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UInt64Eq(UInt64 x, UInt64 y)
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{
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return x.i[0] == y.i[0] && x.i[1] == y.i[1];
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}
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int
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UInt64Lt(UInt64 x, UInt64 y)
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{
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return x.i[1] < y.i[1] || (x.i[1] == y.i[1] && x.i[0] < y.i[0]);
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}
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int
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UInt64Gt(UInt64 x, UInt64 y)
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{
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return x.i[1] > y.i[1] || (x.i[1] == y.i[1] && x.i[0] > y.i[0]);
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}
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#endif
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@ -55,10 +55,9 @@
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#include <limits.h>
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#define BIT64_MAX 18446744073709551615
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#define BIT32_MAX 4294967295
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#define BIT16_MAX 65535
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#define BIT8_MAX 255
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#define BIT32_MAX 4294967295UL
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#define BIT16_MAX 65535UL
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#define BIT8_MAX 255UL
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#ifndef UCHAR_MAX
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#error Size of char data type is unknown. Define UCHAR_MAX.
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@ -120,6 +119,4 @@ typedef unsigned char UInt32;
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#error Unable to determine suitable data type for 32-bit integers.
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#endif
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/* The ANSI C standard only guarantees a data size of up to 32 bits. */
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#endif
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#endif /* CYTOPLASM_INT_H */
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249
src/include/Int64.h
Normal file
249
src/include/Int64.h
Normal file
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@ -0,0 +1,249 @@
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/*
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* Copyright (C) 2022-2023 Jordan Bancino <@jordan:bancino.net>
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*
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* Permission is hereby granted, free of charge, to any person
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* obtaining a copy of this software and associated documentation files
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* (the "Software"), to deal in the Software without restriction,
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* including without limitation the rights to use, copy, modify, merge,
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* publish, distribute, sublicense, and/or sell copies of the Software,
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* and to permit persons to whom the Software is furnished to do so,
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* subject to the following conditions:
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*
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* The above copyright notice and this permission notice shall be
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* included in all copies or portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
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* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
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* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
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* NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS
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* BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
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* ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
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* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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* SOFTWARE.
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*/
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#ifndef CYTOPLASM_INT64_H
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#define CYTOPLASM_INT64_H
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/***
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* @Nm Int64
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* @Nd Fixed-width 64 bit integers.
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* @Dd August 11, 2023
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*
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* .Pp
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* ANSI C89 (or C99 for that matter) provides no required mechanism
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* for 64 bit integers. Nevertheless, many compilers provide them as
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* extensions. However, since it is not a gaurantee, and to be fully
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* standards-compliant and thus portable, a platform-agnostic interface
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* is required. This header provides such an interface. If the platform
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* has a 64 bit integer type, that is used, and native operations are
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* performed by C preprocessor macro expansion. Otherwise, a
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* compatibility layer is provided, which implements 64-bit
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* arithmetic on an array of 2 32-bit numbers which are provided by
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* .Xr Int 3 .
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* .Pp
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* Note that 64-bit emulation is certainly not as performant as using
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* native 64-bit operations, so whenever possible, the native
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* operations should be preferred. However, since C provides no required
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* 64 bit integer on 32-bit and less platforms, this API can be used as
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* a "good enough" fallback mechanism.
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* .Pp
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* Also note that this implementation, both in the native and
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* non-native forms, makes some assumptions:
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* .Bl -bullet -width Ds
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* .It
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* When a cast from a larger integer to a smaller integer is performed,
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* the upper bits are truncated, not the lower bits.
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* .It
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* Negative numbers are represented in memory and in registers in two's
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* compliment form.
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* .El
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* .Pp
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* This API may provide unexpected output if these assumptions are
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* false for a given platform.
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*
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* @ignore-typedefs
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*/
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#include <Int.h>
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#include <stddef.h>
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#define BIT64_MAX 18446744073709551615UL
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/* TODO: Implement signed arithmetic */
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#if UINT_MAX == BIT64_MAX
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/* typedef signed int Int64; */
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typedef unsigned int UInt64;
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#define UINT64_NATIVE
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#elif ULONG_MAX == BIT64_MAX
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/* typedef signed int Int64; */
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typedef unsigned long UInt64;
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#define UINT64_NATIVE
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#endif
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#ifdef UINT64_NATIVE
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#define UInt64Create(high, low) (((UInt64) (high) << 32) | (low))
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#define UInt64Low(a) ((UInt32) ((a) & 0x00000000FFFFFFFF))
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#define UInt64High(a) ((UInt32) ((a) >> 32))
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#define UInt64Add(a, b) ((a) + (b))
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#define UInt64Sub(a, b) ((a) - (b))
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#define UInt64Mul(a, b) ((a) * (b))
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#define UInt64Div(a, b) ((a) / (b))
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#define UInt64Rem(a, b) ((a) % (b))
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#define UInt64Bsl(a, b) ((a) << (b))
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#define UInt64Bsr(a, b) ((a) >> (b))
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#define UInt64And(a, b) ((a) & (b))
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#define UInt64Or(a, b) ((a) | (b))
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#define UInt64Xor(a, b) ((a) ^ (b))
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#define UInt64Not(a) (~(a))
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#define UInt64Eq(a, b) ((a) == (b))
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#define UInt64Lt(a, b) ((a) < (b))
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#define UInt64Gt(a, b) ((a) > (b))
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#define UInt64Neq(a, b) ((a) != (b))
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#define UInt64Leq(a, b) ((a) <= (b))
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#define UInt64Geq(a, b) ((a) >= (b))
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#else
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/**
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* For platforms that do not have a native integer large enough to
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* store a 64 bit integer, this struct is used. i[0] contains the low
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* bits of integer, and i[1] contains the high bits of the integer.
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* .Pp
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* This struct should not be accessed directly, because UInt64 may not
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* actually be this struct, it might be an actual integer type. For
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* maximum portability, only use the functions defined here to
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* manipulate 64 bit integers.
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*/
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typedef struct
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{
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UInt32 i[2];
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} UInt64;
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/**
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* Create a new unsigned 64 bit integer using the given high and low
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* bits.
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*/
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extern UInt64 UInt64Create(UInt32, UInt32);
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/**
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* Add two unsigned 64 bit integers together.
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*/
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extern UInt64 UInt64Add(UInt64, UInt64);
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/**
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* Subtract the second 64 bit integer from the first.
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*/
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extern UInt64 UInt64Sub(UInt64, UInt64);
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/**
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* Multiply two 64 bit integers together. The non-native version of
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* this function uses the Russian Peasant method of multiplication,
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* which should afford more performance than a naive multiplication by
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* addition, but it is still rather slow and depends on the size of
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* the integers being multiplied.
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*/
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extern UInt64 UInt64Mul(UInt64, UInt64);
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/**
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* Divide the first 64 bit integer by the second and return the
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* quotient. The non-native version of this function uses naive binary
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* long division, which is slow, but gauranteed to finish in constant
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* time.
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*/
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extern UInt64 UInt64Div(UInt64, UInt64);
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/**
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* Divide the first 64 bit integer by the second and return the
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* remainder. The non-native version of this function uses naive binary
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* long division, which is slow, but gauranteed to finish in constant
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* time.
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*/
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extern UInt64 UInt64Rem(UInt64, UInt64);
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/**
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* Perform a left logical bit shift of a 64 bit integer. The second
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* parameter is how many places to shift, and is declared as a regular
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* integer because anything more than 64 does not make sense.
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*/
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extern UInt64 UInt64Sll(UInt64, int);
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/**
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* Perform a right logical bit shift of a 64 bit integer. The second
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* parameter is how many places to shift, and is declared as a regular
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* integer because anything more than 64 does not make sense.
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*/
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extern UInt64 UInt64Srl(UInt64, int);
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/**
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* Perform a bitwise AND (&) of the provided 64 bit integers.
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*/
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extern UInt64 UInt64And(UInt64, UInt64);
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/**
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* Perform a bitwise OR (|) of the provided 64 bit integers.
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*/
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extern UInt64 UInt64Or(UInt64, UInt64);
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/**
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* Perform a bitwise XOR (^) of the provided 64 bit integers.
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*/
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extern UInt64 UInt64Xor(UInt64, UInt64);
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/**
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* Perform a bitwise NOT (~) of the provided 64 bit integer.
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*/
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extern UInt64 UInt64Not(UInt64);
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/**
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* Perform a comparison of the provided 64 bit integers and return a C
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||||
* boolean that is true if and only if they are equal.
|
||||
extern int UInt64Eq(UInt64, UInt64);
|
||||
|
||||
/**
|
||||
* Perform a comparison of the provided 64 bit integers and return a C
|
||||
* boolean that is true if and only if the second operand is strictly
|
||||
* less than the first.
|
||||
*/
|
||||
extern int UInt64Lt(UInt64, UInt64);
|
||||
|
||||
/**
|
||||
* Perform a comparison of the provided 64 bit integers and return a C
|
||||
* boolean that is true if and only if the second operand is strictly
|
||||
* greater than the first.
|
||||
*/
|
||||
extern int UInt64Gt(UInt64, UInt64);
|
||||
|
||||
#define UInt64Low(a) ((a).i[0])
|
||||
#define UInt64High(a) ((a).i[1])
|
||||
|
||||
#define UInt64Neq(a, b) (!UInt64Eq(a, b))
|
||||
#define UInt64Leq(a, b) (UInt64Eq(a, b) || UInt64Lt(a, b))
|
||||
#define UInt64Geq(a, b) (UInt64Eq(a, b) || UInt64Gt(a, b))
|
||||
|
||||
#endif
|
||||
|
||||
#define UINT64_STRBUF 65 /* Base 2 representation with '\0' */
|
||||
|
||||
/**
|
||||
* Convert a 64 bit integer to a string in an arbitrary base
|
||||
* representation specified by the second parameter, using the provided
|
||||
* buffer and length specified by the third and fourth parameters. To
|
||||
* guarantee that the string will fit in the buffer, allocate it of
|
||||
* size UINT64_STRBUF or larger. Note that a buffer size smaller than
|
||||
* UINT64_STRBUF will invoke undefined behavior.
|
||||
*/
|
||||
extern size_t UInt64Str(UInt64, int, char *, size_t);
|
||||
|
||||
#endif /* CYTOPLASM_INT64_H */
|
||||
117
tools/int64.c
Normal file
117
tools/int64.c
Normal file
|
|
@ -0,0 +1,117 @@
|
|||
#include <Int64.h>
|
||||
|
||||
#include <Log.h>
|
||||
|
||||
/* AssertEquals(actual, expected) */
|
||||
int AssertEquals(char *msg, UInt64 x, UInt64 y)
|
||||
{
|
||||
if (!UInt64Eq(x, y))
|
||||
{
|
||||
Log(LOG_ERR, "%s: Expected 0x%X 0x%X, got 0x%X 0x%X", msg,
|
||||
UInt64High(y), UInt64Low(y),
|
||||
UInt64High(x), UInt64Low(x));
|
||||
|
||||
return 0;
|
||||
}
|
||||
|
||||
return 1;
|
||||
}
|
||||
|
||||
int Main(void)
|
||||
{
|
||||
UInt64 x, y;
|
||||
|
||||
Log(LOG_INFO, "sizeof(UInt64) = %lu", sizeof(UInt64));
|
||||
|
||||
#ifdef UINT64_NATIVE
|
||||
Log(LOG_INFO, "Using native 64-bit integers.");
|
||||
#else
|
||||
Log(LOG_INFO, "Using emulated 64-bit integers.");
|
||||
#endif
|
||||
|
||||
/* BSR Tests */
|
||||
|
||||
x = UInt64Create(0x000000FF, 0x00000000);
|
||||
|
||||
y = UInt64Bsr(x, 4);
|
||||
AssertEquals("x >> 4", y, UInt64Create(0x0000000F, 0xF0000000));
|
||||
|
||||
y = UInt64Bsr(x, 8);
|
||||
AssertEquals("x >> 8", y, UInt64Create(0x00000000, 0xFF000000));
|
||||
|
||||
y = UInt64Bsr(x, 36);
|
||||
AssertEquals("x >> 36", y, UInt64Create(0x00000000, 0x0000000F));
|
||||
|
||||
/* BSL Tests */
|
||||
|
||||
x = UInt64Create(0x00000000, 0xFF000000);
|
||||
|
||||
y = UInt64Bsl(x, 4);
|
||||
AssertEquals("x << 4", y, UInt64Create(0x0000000F, 0xF0000000));
|
||||
|
||||
y = UInt64Bsl(x, 8);
|
||||
AssertEquals("x << 8", y, UInt64Create(0x000000FF, 0x00000000));
|
||||
|
||||
y = UInt64Bsl(x, 36);
|
||||
AssertEquals("x << 36", y, UInt64Create(0xF0000000, 0x00000000));
|
||||
|
||||
/* ADD Tests */
|
||||
|
||||
x = UInt64Create(0x00000000, 0xF0000001);
|
||||
y = UInt64Create(0x00000000, 0x00000002);
|
||||
AssertEquals("0xF0000001 + 0x00000002", UInt64Add(x, y), UInt64Create(0x00000000, 0xF0000003));
|
||||
|
||||
x = UInt64Create(0x00000000, 0xF0000000);
|
||||
y = UInt64Create(0x00000000, 0x10000000);
|
||||
AssertEquals("0xF0000000 + 0x10000000", UInt64Add(x, y), UInt64Create(0x00000001, 0x00000000));
|
||||
|
||||
/* SUB Tests */
|
||||
x = UInt64Create(0x00000000, 0x00000005);
|
||||
y = UInt64Create(0x00000000, 0x00000002);
|
||||
AssertEquals("0x00000005 - 0x00000002", UInt64Sub(x, y), UInt64Create(0x00000000, 0x00000003));
|
||||
|
||||
x = UInt64Create(0x00000001, 0x00000000);
|
||||
y = UInt64Create(0x00000000, 0x00000001);
|
||||
AssertEquals("0x00000001 0x00000000 - 0x00000001", UInt64Sub(x, y), UInt64Create(0x00000000, 0xFFFFFFFF));
|
||||
|
||||
/* MUL Tests */
|
||||
x = UInt64Create(0, 18);
|
||||
y = UInt64Create(0, 1);
|
||||
AssertEquals("18 * 1", UInt64Mul(x, y), UInt64Create(0, 18));
|
||||
|
||||
x = UInt64Create(0, 20);
|
||||
y = UInt64Create(0, 12);
|
||||
AssertEquals("20 * 12", UInt64Mul(x, y), UInt64Create(0, 240));
|
||||
|
||||
x = UInt64Create(0x00000000, 0x00000005);
|
||||
y = UInt64Create(0x00000000, 0x00000005);
|
||||
AssertEquals("0x00000005 * 0x00000005", UInt64Mul(x, y), UInt64Create(0x00000000, 0x00000019));
|
||||
|
||||
x = UInt64Create(0x00000001, 0x00000000);
|
||||
y = UInt64Create(0x00000000, 0x00000005);
|
||||
AssertEquals("0x00000001 0x00000000 * 0x00000005", UInt64Mul(x, y), UInt64Create(0x00000005, 0x00000000));
|
||||
|
||||
/* DIV Tests */
|
||||
x = UInt64Create(0, 12);
|
||||
y = UInt64Create(0, 4);
|
||||
AssertEquals("12 / 4", UInt64Div(x, y), UInt64Create(0, 3));
|
||||
|
||||
/* MOD Tests */
|
||||
x = UInt64Create(0x000000FF, 0x00000000);
|
||||
y = UInt64Create(0x00000000, 0x00000010);
|
||||
AssertEquals("0x000000FF 0x00000000 mod 0x00000010", UInt64Rem(x, y), UInt64Create(0, 0));
|
||||
|
||||
x = UInt64Create(0x00000000, 0xFF000000);
|
||||
y = UInt64Create(0x00000000, 0x00000010);
|
||||
AssertEquals("0x00000000 0xFF000000 mod 0x00000010", UInt64Rem(x, y), UInt64Create(0, 0));
|
||||
|
||||
x = UInt64Create(0xFF000000, 0x00000000);
|
||||
y = UInt64Create(0x00000000, 0x00000010);
|
||||
AssertEquals("0xFF000000 0x00000000 mod 0x00000010", UInt64Rem(x, y), UInt64Create(0, 0));
|
||||
|
||||
x = UInt64Create(0x00000000, 0x000000F0);
|
||||
y = UInt64Create(0x00000000, 0x00000010);
|
||||
AssertEquals("0x00000000 0x000000F0 mod 0x00000010", UInt64Rem(x, y), UInt64Create(0, 0));
|
||||
|
||||
return 0;
|
||||
}
|
||||
Loading…
Reference in a new issue