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Move static functions closer to their usage.
git-svn-id: https://llvm.org/svn/llvm-project/llvm/trunk@34363 91177308-0d34-0410-b5e6-96231b3b80d8
This commit is contained in:
Reid Spencer
parent
71bd08f9be
commit
5e0a851ed3
@ -19,229 +19,6 @@
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#include <cstdlib>
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#include <cstdlib>
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using namespace llvm;
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using namespace llvm;
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/// mul_1 - This function performs the multiplication operation on a
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/// large integer (represented as an integer array) and a uint64_t integer.
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/// @returns the carry of the multiplication.
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static uint64_t mul_1(uint64_t dest[], uint64_t x[],
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unsigned len, uint64_t y) {
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// Split y into high 32-bit part and low 32-bit part.
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uint64_t ly = y & 0xffffffffULL, hy = y >> 32;
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uint64_t carry = 0, lx, hx;
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for (unsigned i = 0; i < len; ++i) {
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lx = x[i] & 0xffffffffULL;
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hx = x[i] >> 32;
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// hasCarry - A flag to indicate if has carry.
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// hasCarry == 0, no carry
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// hasCarry == 1, has carry
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// hasCarry == 2, no carry and the calculation result == 0.
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uint8_t hasCarry = 0;
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dest[i] = carry + lx * ly;
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// Determine if the add above introduces carry.
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hasCarry = (dest[i] < carry) ? 1 : 0;
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carry = hx * ly + (dest[i] >> 32) + (hasCarry ? (1ULL << 32) : 0);
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// The upper limit of carry can be (2^32 - 1)(2^32 - 1) +
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// (2^32 - 1) + 2^32 = 2^64.
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hasCarry = (!carry && hasCarry) ? 1 : (!carry ? 2 : 0);
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carry += (lx * hy) & 0xffffffffULL;
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dest[i] = (carry << 32) | (dest[i] & 0xffffffffULL);
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carry = (((!carry && hasCarry != 2) || hasCarry == 1) ? (1ULL << 32) : 0) +
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(carry >> 32) + ((lx * hy) >> 32) + hx * hy;
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}
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return carry;
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}
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/// mul - This function multiplies integer array x[] by integer array y[] and
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/// stores the result into integer array dest[].
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/// Note the array dest[]'s size should no less than xlen + ylen.
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static void mul(uint64_t dest[], uint64_t x[], unsigned xlen,
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uint64_t y[], unsigned ylen) {
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dest[xlen] = mul_1(dest, x, xlen, y[0]);
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for (unsigned i = 1; i < ylen; ++i) {
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uint64_t ly = y[i] & 0xffffffffULL, hy = y[i] >> 32;
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uint64_t carry = 0, lx, hx;
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for (unsigned j = 0; j < xlen; ++j) {
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lx = x[j] & 0xffffffffULL;
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hx = x[j] >> 32;
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// hasCarry - A flag to indicate if has carry.
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// hasCarry == 0, no carry
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// hasCarry == 1, has carry
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// hasCarry == 2, no carry and the calculation result == 0.
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uint8_t hasCarry = 0;
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uint64_t resul = carry + lx * ly;
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hasCarry = (resul < carry) ? 1 : 0;
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carry = (hasCarry ? (1ULL << 32) : 0) + hx * ly + (resul >> 32);
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hasCarry = (!carry && hasCarry) ? 1 : (!carry ? 2 : 0);
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carry += (lx * hy) & 0xffffffffULL;
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resul = (carry << 32) | (resul & 0xffffffffULL);
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dest[i+j] += resul;
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carry = (((!carry && hasCarry != 2) || hasCarry == 1) ? (1ULL << 32) : 0)+
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(carry >> 32) + (dest[i+j] < resul ? 1 : 0) +
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((lx * hy) >> 32) + hx * hy;
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}
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dest[i+xlen] = carry;
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}
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}
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/// add_1 - This function adds the integer array x[] by integer y and
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/// returns the carry.
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/// @returns the carry of the addition.
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static uint64_t add_1(uint64_t dest[], uint64_t x[],
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unsigned len, uint64_t y) {
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uint64_t carry = y;
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for (unsigned i = 0; i < len; ++i) {
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dest[i] = carry + x[i];
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carry = (dest[i] < carry) ? 1 : 0;
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}
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return carry;
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}
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/// add - This function adds the integer array x[] by integer array
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/// y[] and returns the carry.
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static uint64_t add(uint64_t dest[], uint64_t x[],
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uint64_t y[], unsigned len) {
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unsigned carry = 0;
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for (unsigned i = 0; i< len; ++i) {
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carry += x[i];
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dest[i] = carry + y[i];
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carry = carry < x[i] ? 1 : (dest[i] < carry ? 1 : 0);
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}
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return carry;
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}
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/// sub_1 - This function subtracts the integer array x[] by
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/// integer y and returns the borrow-out carry.
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static uint64_t sub_1(uint64_t x[], unsigned len, uint64_t y) {
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uint64_t cy = y;
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for (unsigned i = 0; i < len; ++i) {
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uint64_t X = x[i];
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x[i] -= cy;
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if (cy > X)
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cy = 1;
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else {
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cy = 0;
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break;
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}
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}
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return cy;
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}
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/// sub - This function subtracts the integer array x[] by
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/// integer array y[], and returns the borrow-out carry.
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static uint64_t sub(uint64_t dest[], uint64_t x[],
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uint64_t y[], unsigned len) {
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// Carry indicator.
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uint64_t cy = 0;
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for (unsigned i = 0; i < len; ++i) {
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uint64_t Y = y[i], X = x[i];
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Y += cy;
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cy = Y < cy ? 1 : 0;
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Y = X - Y;
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cy += Y > X ? 1 : 0;
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dest[i] = Y;
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}
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return cy;
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}
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/// UnitDiv - This function divides N by D,
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/// and returns (remainder << 32) | quotient.
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/// Assumes (N >> 32) < D.
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static uint64_t unitDiv(uint64_t N, unsigned D) {
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uint64_t q, r; // q: quotient, r: remainder.
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uint64_t a1 = N >> 32; // a1: high 32-bit part of N.
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uint64_t a0 = N & 0xffffffffL; // a0: low 32-bit part of N
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if (a1 < ((D - a1 - (a0 >> 31)) & 0xffffffffL)) {
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q = N / D;
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r = N % D;
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}
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else {
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// Compute c1*2^32 + c0 = a1*2^32 + a0 - 2^31*d
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uint64_t c = N - ((uint64_t) D << 31);
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// Divide (c1*2^32 + c0) by d
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q = c / D;
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r = c % D;
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// Add 2^31 to quotient
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q += 1 << 31;
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}
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return (r << 32) | (q & 0xFFFFFFFFl);
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}
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/// subMul - This function substracts x[len-1:0] * y from
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/// dest[offset+len-1:offset], and returns the most significant
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/// word of the product, minus the borrow-out from the subtraction.
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static unsigned subMul(unsigned dest[], unsigned offset,
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unsigned x[], unsigned len, unsigned y) {
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uint64_t yl = (uint64_t) y & 0xffffffffL;
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unsigned carry = 0;
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unsigned j = 0;
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do {
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uint64_t prod = ((uint64_t) x[j] & 0xffffffffL) * yl;
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unsigned prod_low = (unsigned) prod;
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unsigned prod_high = (unsigned) (prod >> 32);
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prod_low += carry;
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carry = (prod_low < carry ? 1 : 0) + prod_high;
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unsigned x_j = dest[offset+j];
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prod_low = x_j - prod_low;
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if (prod_low > x_j) ++carry;
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dest[offset+j] = prod_low;
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} while (++j < len);
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return carry;
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}
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/// div - This is basically Knuth's formulation of the classical algorithm.
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/// Correspondance with Knuth's notation:
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/// Knuth's u[0:m+n] == zds[nx:0].
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/// Knuth's v[1:n] == y[ny-1:0]
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/// Knuth's n == ny.
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/// Knuth's m == nx-ny.
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/// Our nx == Knuth's m+n.
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/// Could be re-implemented using gmp's mpn_divrem:
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/// zds[nx] = mpn_divrem (&zds[ny], 0, zds, nx, y, ny).
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static void div(unsigned zds[], unsigned nx, unsigned y[], unsigned ny) {
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unsigned j = nx;
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do { // loop over digits of quotient
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// Knuth's j == our nx-j.
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// Knuth's u[j:j+n] == our zds[j:j-ny].
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unsigned qhat; // treated as unsigned
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if (zds[j] == y[ny-1])
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qhat = -1U; // 0xffffffff
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else {
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uint64_t w = (((uint64_t)(zds[j])) << 32) +
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((uint64_t)zds[j-1] & 0xffffffffL);
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qhat = (unsigned) unitDiv(w, y[ny-1]);
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}
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if (qhat) {
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unsigned borrow = subMul(zds, j - ny, y, ny, qhat);
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unsigned save = zds[j];
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uint64_t num = ((uint64_t)save&0xffffffffL) -
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((uint64_t)borrow&0xffffffffL);
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while (num) {
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qhat--;
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uint64_t carry = 0;
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for (unsigned i = 0; i < ny; i++) {
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carry += ((uint64_t) zds[j-ny+i] & 0xffffffffL)
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+ ((uint64_t) y[i] & 0xffffffffL);
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zds[j-ny+i] = (unsigned) carry;
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carry >>= 32;
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}
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zds[j] += carry;
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num = carry - 1;
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}
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}
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zds[j] = qhat;
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} while (--j >= ny);
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}
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#if 0
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#if 0
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/// lshift - This function shift x[0:len-1] left by shiftAmt bits, and
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/// lshift - This function shift x[0:len-1] left by shiftAmt bits, and
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/// store the len least significant words of the result in
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/// store the len least significant words of the result in
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@ -313,78 +90,6 @@ APInt::APInt(unsigned numbits, const std::string& Val, uint8_t radix) {
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fromString(numbits, Val.c_str(), Val.size(), radix);
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fromString(numbits, Val.c_str(), Val.size(), radix);
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}
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}
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/// @brief Converts a char array into an integer.
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void APInt::fromString(unsigned numbits, const char *StrStart, unsigned slen,
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uint8_t radix) {
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assert((radix == 10 || radix == 8 || radix == 16 || radix == 2) &&
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"Radix should be 2, 8, 10, or 16!");
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assert(StrStart && "String is null?");
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unsigned size = 0;
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// If the radix is a power of 2, read the input
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// from most significant to least significant.
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if ((radix & (radix - 1)) == 0) {
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unsigned nextBitPos = 0, bits_per_digit = radix / 8 + 2;
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uint64_t resDigit = 0;
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BitWidth = slen * bits_per_digit;
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if (getNumWords() > 1)
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assert((pVal = new uint64_t[getNumWords()]) &&
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"APInt memory allocation fails!");
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for (int i = slen - 1; i >= 0; --i) {
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uint64_t digit = StrStart[i] - 48; // '0' == 48.
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resDigit |= digit << nextBitPos;
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nextBitPos += bits_per_digit;
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if (nextBitPos >= 64) {
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if (isSingleWord()) {
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VAL = resDigit;
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break;
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}
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pVal[size++] = resDigit;
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nextBitPos -= 64;
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resDigit = digit >> (bits_per_digit - nextBitPos);
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}
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}
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if (!isSingleWord() && size <= getNumWords())
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pVal[size] = resDigit;
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} else { // General case. The radix is not a power of 2.
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// For 10-radix, the max value of 64-bit integer is 18446744073709551615,
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// and its digits number is 20.
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const unsigned chars_per_word = 20;
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if (slen < chars_per_word ||
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(slen == chars_per_word && // In case the value <= 2^64 - 1
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strcmp(StrStart, "18446744073709551615") <= 0)) {
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BitWidth = 64;
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VAL = strtoull(StrStart, 0, 10);
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} else { // In case the value > 2^64 - 1
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BitWidth = (slen / chars_per_word + 1) * 64;
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assert((pVal = new uint64_t[getNumWords()]) &&
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"APInt memory allocation fails!");
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memset(pVal, 0, getNumWords() * 8);
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unsigned str_pos = 0;
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while (str_pos < slen) {
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unsigned chunk = slen - str_pos;
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if (chunk > chars_per_word - 1)
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chunk = chars_per_word - 1;
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uint64_t resDigit = StrStart[str_pos++] - 48; // 48 == '0'.
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uint64_t big_base = radix;
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while (--chunk > 0) {
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resDigit = resDigit * radix + StrStart[str_pos++] - 48;
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big_base *= radix;
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}
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uint64_t carry;
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if (!size)
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carry = resDigit;
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else {
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carry = mul_1(pVal, pVal, size, big_base);
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carry += add_1(pVal, pVal, size, resDigit);
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}
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if (carry) pVal[size++] = carry;
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}
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}
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}
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}
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APInt::APInt(const APInt& APIVal)
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APInt::APInt(const APInt& APIVal)
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: BitWidth(APIVal.BitWidth) {
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: BitWidth(APIVal.BitWidth) {
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if (isSingleWord()) VAL = APIVal.VAL;
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if (isSingleWord()) VAL = APIVal.VAL;
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@ -428,6 +133,19 @@ APInt& APInt::operator=(uint64_t RHS) {
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return *this;
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return *this;
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}
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}
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/// add_1 - This function adds the integer array x[] by integer y and
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/// returns the carry.
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/// @returns the carry of the addition.
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static uint64_t add_1(uint64_t dest[], uint64_t x[], unsigned len, uint64_t y) {
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uint64_t carry = y;
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for (unsigned i = 0; i < len; ++i) {
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dest[i] = carry + x[i];
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carry = (dest[i] < carry) ? 1 : 0;
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}
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return carry;
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}
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/// @brief Prefix increment operator. Increments the APInt by one.
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/// @brief Prefix increment operator. Increments the APInt by one.
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APInt& APInt::operator++() {
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APInt& APInt::operator++() {
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if (isSingleWord())
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if (isSingleWord())
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@ -438,6 +156,25 @@ APInt& APInt::operator++() {
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return *this;
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return *this;
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}
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}
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/// sub_1 - This function subtracts the integer array x[] by
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/// integer y and returns the borrow-out carry.
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static uint64_t sub_1(uint64_t x[], unsigned len, uint64_t y) {
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uint64_t cy = y;
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|
|
||||||
|
for (unsigned i = 0; i < len; ++i) {
|
||||||
|
uint64_t X = x[i];
|
||||||
|
x[i] -= cy;
|
||||||
|
if (cy > X)
|
||||||
|
cy = 1;
|
||||||
|
else {
|
||||||
|
cy = 0;
|
||||||
|
break;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
return cy;
|
||||||
|
}
|
||||||
|
|
||||||
/// @brief Prefix decrement operator. Decrements the APInt by one.
|
/// @brief Prefix decrement operator. Decrements the APInt by one.
|
||||||
APInt& APInt::operator--() {
|
APInt& APInt::operator--() {
|
||||||
if (isSingleWord()) --VAL;
|
if (isSingleWord()) --VAL;
|
||||||
@ -447,6 +184,20 @@ APInt& APInt::operator--() {
|
|||||||
return *this;
|
return *this;
|
||||||
}
|
}
|
||||||
|
|
||||||
|
/// add - This function adds the integer array x[] by integer array
|
||||||
|
/// y[] and returns the carry.
|
||||||
|
static uint64_t add(uint64_t dest[], uint64_t x[],
|
||||||
|
uint64_t y[], unsigned len) {
|
||||||
|
unsigned carry = 0;
|
||||||
|
|
||||||
|
for (unsigned i = 0; i< len; ++i) {
|
||||||
|
carry += x[i];
|
||||||
|
dest[i] = carry + y[i];
|
||||||
|
carry = carry < x[i] ? 1 : (dest[i] < carry ? 1 : 0);
|
||||||
|
}
|
||||||
|
return carry;
|
||||||
|
}
|
||||||
|
|
||||||
/// @brief Addition assignment operator. Adds this APInt by the given APInt&
|
/// @brief Addition assignment operator. Adds this APInt by the given APInt&
|
||||||
/// RHS and assigns the result to this APInt.
|
/// RHS and assigns the result to this APInt.
|
||||||
APInt& APInt::operator+=(const APInt& RHS) {
|
APInt& APInt::operator+=(const APInt& RHS) {
|
||||||
@ -468,6 +219,25 @@ APInt& APInt::operator+=(const APInt& RHS) {
|
|||||||
return *this;
|
return *this;
|
||||||
}
|
}
|
||||||
|
|
||||||
|
/// sub - This function subtracts the integer array x[] by
|
||||||
|
/// integer array y[], and returns the borrow-out carry.
|
||||||
|
static uint64_t sub(uint64_t dest[], uint64_t x[],
|
||||||
|
uint64_t y[], unsigned len) {
|
||||||
|
// Carry indicator.
|
||||||
|
uint64_t cy = 0;
|
||||||
|
|
||||||
|
for (unsigned i = 0; i < len; ++i) {
|
||||||
|
uint64_t Y = y[i], X = x[i];
|
||||||
|
Y += cy;
|
||||||
|
|
||||||
|
cy = Y < cy ? 1 : 0;
|
||||||
|
Y = X - Y;
|
||||||
|
cy += Y > X ? 1 : 0;
|
||||||
|
dest[i] = Y;
|
||||||
|
}
|
||||||
|
return cy;
|
||||||
|
}
|
||||||
|
|
||||||
/// @brief Subtraction assignment operator. Subtracts this APInt by the given
|
/// @brief Subtraction assignment operator. Subtracts this APInt by the given
|
||||||
/// APInt &RHS and assigns the result to this APInt.
|
/// APInt &RHS and assigns the result to this APInt.
|
||||||
APInt& APInt::operator-=(const APInt& RHS) {
|
APInt& APInt::operator-=(const APInt& RHS) {
|
||||||
@ -490,6 +260,73 @@ APInt& APInt::operator-=(const APInt& RHS) {
|
|||||||
return *this;
|
return *this;
|
||||||
}
|
}
|
||||||
|
|
||||||
|
/// mul_1 - This function performs the multiplication operation on a
|
||||||
|
/// large integer (represented as an integer array) and a uint64_t integer.
|
||||||
|
/// @returns the carry of the multiplication.
|
||||||
|
static uint64_t mul_1(uint64_t dest[], uint64_t x[],
|
||||||
|
unsigned len, uint64_t y) {
|
||||||
|
// Split y into high 32-bit part and low 32-bit part.
|
||||||
|
uint64_t ly = y & 0xffffffffULL, hy = y >> 32;
|
||||||
|
uint64_t carry = 0, lx, hx;
|
||||||
|
for (unsigned i = 0; i < len; ++i) {
|
||||||
|
lx = x[i] & 0xffffffffULL;
|
||||||
|
hx = x[i] >> 32;
|
||||||
|
// hasCarry - A flag to indicate if has carry.
|
||||||
|
// hasCarry == 0, no carry
|
||||||
|
// hasCarry == 1, has carry
|
||||||
|
// hasCarry == 2, no carry and the calculation result == 0.
|
||||||
|
uint8_t hasCarry = 0;
|
||||||
|
dest[i] = carry + lx * ly;
|
||||||
|
// Determine if the add above introduces carry.
|
||||||
|
hasCarry = (dest[i] < carry) ? 1 : 0;
|
||||||
|
carry = hx * ly + (dest[i] >> 32) + (hasCarry ? (1ULL << 32) : 0);
|
||||||
|
// The upper limit of carry can be (2^32 - 1)(2^32 - 1) +
|
||||||
|
// (2^32 - 1) + 2^32 = 2^64.
|
||||||
|
hasCarry = (!carry && hasCarry) ? 1 : (!carry ? 2 : 0);
|
||||||
|
|
||||||
|
carry += (lx * hy) & 0xffffffffULL;
|
||||||
|
dest[i] = (carry << 32) | (dest[i] & 0xffffffffULL);
|
||||||
|
carry = (((!carry && hasCarry != 2) || hasCarry == 1) ? (1ULL << 32) : 0) +
|
||||||
|
(carry >> 32) + ((lx * hy) >> 32) + hx * hy;
|
||||||
|
}
|
||||||
|
|
||||||
|
return carry;
|
||||||
|
}
|
||||||
|
|
||||||
|
/// mul - This function multiplies integer array x[] by integer array y[] and
|
||||||
|
/// stores the result into integer array dest[].
|
||||||
|
/// Note the array dest[]'s size should no less than xlen + ylen.
|
||||||
|
static void mul(uint64_t dest[], uint64_t x[], unsigned xlen,
|
||||||
|
uint64_t y[], unsigned ylen) {
|
||||||
|
dest[xlen] = mul_1(dest, x, xlen, y[0]);
|
||||||
|
|
||||||
|
for (unsigned i = 1; i < ylen; ++i) {
|
||||||
|
uint64_t ly = y[i] & 0xffffffffULL, hy = y[i] >> 32;
|
||||||
|
uint64_t carry = 0, lx, hx;
|
||||||
|
for (unsigned j = 0; j < xlen; ++j) {
|
||||||
|
lx = x[j] & 0xffffffffULL;
|
||||||
|
hx = x[j] >> 32;
|
||||||
|
// hasCarry - A flag to indicate if has carry.
|
||||||
|
// hasCarry == 0, no carry
|
||||||
|
// hasCarry == 1, has carry
|
||||||
|
// hasCarry == 2, no carry and the calculation result == 0.
|
||||||
|
uint8_t hasCarry = 0;
|
||||||
|
uint64_t resul = carry + lx * ly;
|
||||||
|
hasCarry = (resul < carry) ? 1 : 0;
|
||||||
|
carry = (hasCarry ? (1ULL << 32) : 0) + hx * ly + (resul >> 32);
|
||||||
|
hasCarry = (!carry && hasCarry) ? 1 : (!carry ? 2 : 0);
|
||||||
|
|
||||||
|
carry += (lx * hy) & 0xffffffffULL;
|
||||||
|
resul = (carry << 32) | (resul & 0xffffffffULL);
|
||||||
|
dest[i+j] += resul;
|
||||||
|
carry = (((!carry && hasCarry != 2) || hasCarry == 1) ? (1ULL << 32) : 0)+
|
||||||
|
(carry >> 32) + (dest[i+j] < resul ? 1 : 0) +
|
||||||
|
((lx * hy) >> 32) + hx * hy;
|
||||||
|
}
|
||||||
|
dest[i+xlen] = carry;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
/// @brief Multiplication assignment operator. Multiplies this APInt by the
|
/// @brief Multiplication assignment operator. Multiplies this APInt by the
|
||||||
/// given APInt& RHS and assigns the result to this APInt.
|
/// given APInt& RHS and assigns the result to this APInt.
|
||||||
APInt& APInt::operator*=(const APInt& RHS) {
|
APInt& APInt::operator*=(const APInt& RHS) {
|
||||||
@ -1134,6 +971,96 @@ APInt APInt::shl(unsigned shiftAmt) const {
|
|||||||
return API;
|
return API;
|
||||||
}
|
}
|
||||||
|
|
||||||
|
/// subMul - This function substracts x[len-1:0] * y from
|
||||||
|
/// dest[offset+len-1:offset], and returns the most significant
|
||||||
|
/// word of the product, minus the borrow-out from the subtraction.
|
||||||
|
static unsigned subMul(unsigned dest[], unsigned offset,
|
||||||
|
unsigned x[], unsigned len, unsigned y) {
|
||||||
|
uint64_t yl = (uint64_t) y & 0xffffffffL;
|
||||||
|
unsigned carry = 0;
|
||||||
|
unsigned j = 0;
|
||||||
|
do {
|
||||||
|
uint64_t prod = ((uint64_t) x[j] & 0xffffffffL) * yl;
|
||||||
|
unsigned prod_low = (unsigned) prod;
|
||||||
|
unsigned prod_high = (unsigned) (prod >> 32);
|
||||||
|
prod_low += carry;
|
||||||
|
carry = (prod_low < carry ? 1 : 0) + prod_high;
|
||||||
|
unsigned x_j = dest[offset+j];
|
||||||
|
prod_low = x_j - prod_low;
|
||||||
|
if (prod_low > x_j) ++carry;
|
||||||
|
dest[offset+j] = prod_low;
|
||||||
|
} while (++j < len);
|
||||||
|
return carry;
|
||||||
|
}
|
||||||
|
|
||||||
|
/// unitDiv - This function divides N by D,
|
||||||
|
/// and returns (remainder << 32) | quotient.
|
||||||
|
/// Assumes (N >> 32) < D.
|
||||||
|
static uint64_t unitDiv(uint64_t N, unsigned D) {
|
||||||
|
uint64_t q, r; // q: quotient, r: remainder.
|
||||||
|
uint64_t a1 = N >> 32; // a1: high 32-bit part of N.
|
||||||
|
uint64_t a0 = N & 0xffffffffL; // a0: low 32-bit part of N
|
||||||
|
if (a1 < ((D - a1 - (a0 >> 31)) & 0xffffffffL)) {
|
||||||
|
q = N / D;
|
||||||
|
r = N % D;
|
||||||
|
}
|
||||||
|
else {
|
||||||
|
// Compute c1*2^32 + c0 = a1*2^32 + a0 - 2^31*d
|
||||||
|
uint64_t c = N - ((uint64_t) D << 31);
|
||||||
|
// Divide (c1*2^32 + c0) by d
|
||||||
|
q = c / D;
|
||||||
|
r = c % D;
|
||||||
|
// Add 2^31 to quotient
|
||||||
|
q += 1 << 31;
|
||||||
|
}
|
||||||
|
|
||||||
|
return (r << 32) | (q & 0xFFFFFFFFl);
|
||||||
|
}
|
||||||
|
|
||||||
|
/// div - This is basically Knuth's formulation of the classical algorithm.
|
||||||
|
/// Correspondance with Knuth's notation:
|
||||||
|
/// Knuth's u[0:m+n] == zds[nx:0].
|
||||||
|
/// Knuth's v[1:n] == y[ny-1:0]
|
||||||
|
/// Knuth's n == ny.
|
||||||
|
/// Knuth's m == nx-ny.
|
||||||
|
/// Our nx == Knuth's m+n.
|
||||||
|
/// Could be re-implemented using gmp's mpn_divrem:
|
||||||
|
/// zds[nx] = mpn_divrem (&zds[ny], 0, zds, nx, y, ny).
|
||||||
|
static void div(unsigned zds[], unsigned nx, unsigned y[], unsigned ny) {
|
||||||
|
unsigned j = nx;
|
||||||
|
do { // loop over digits of quotient
|
||||||
|
// Knuth's j == our nx-j.
|
||||||
|
// Knuth's u[j:j+n] == our zds[j:j-ny].
|
||||||
|
unsigned qhat; // treated as unsigned
|
||||||
|
if (zds[j] == y[ny-1])
|
||||||
|
qhat = -1U; // 0xffffffff
|
||||||
|
else {
|
||||||
|
uint64_t w = (((uint64_t)(zds[j])) << 32) +
|
||||||
|
((uint64_t)zds[j-1] & 0xffffffffL);
|
||||||
|
qhat = (unsigned) unitDiv(w, y[ny-1]);
|
||||||
|
}
|
||||||
|
if (qhat) {
|
||||||
|
unsigned borrow = subMul(zds, j - ny, y, ny, qhat);
|
||||||
|
unsigned save = zds[j];
|
||||||
|
uint64_t num = ((uint64_t)save&0xffffffffL) -
|
||||||
|
((uint64_t)borrow&0xffffffffL);
|
||||||
|
while (num) {
|
||||||
|
qhat--;
|
||||||
|
uint64_t carry = 0;
|
||||||
|
for (unsigned i = 0; i < ny; i++) {
|
||||||
|
carry += ((uint64_t) zds[j-ny+i] & 0xffffffffL)
|
||||||
|
+ ((uint64_t) y[i] & 0xffffffffL);
|
||||||
|
zds[j-ny+i] = (unsigned) carry;
|
||||||
|
carry >>= 32;
|
||||||
|
}
|
||||||
|
zds[j] += carry;
|
||||||
|
num = carry - 1;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
zds[j] = qhat;
|
||||||
|
} while (--j >= ny);
|
||||||
|
}
|
||||||
|
|
||||||
/// Unsigned divide this APInt by APInt RHS.
|
/// Unsigned divide this APInt by APInt RHS.
|
||||||
/// @brief Unsigned division function for APInt.
|
/// @brief Unsigned division function for APInt.
|
||||||
APInt APInt::udiv(const APInt& RHS) const {
|
APInt APInt::udiv(const APInt& RHS) const {
|
||||||
@ -1235,3 +1162,76 @@ APInt APInt::urem(const APInt& RHS) const {
|
|||||||
}
|
}
|
||||||
return Result;
|
return Result;
|
||||||
}
|
}
|
||||||
|
|
||||||
|
/// @brief Converts a char array into an integer.
|
||||||
|
void APInt::fromString(unsigned numbits, const char *StrStart, unsigned slen,
|
||||||
|
uint8_t radix) {
|
||||||
|
assert((radix == 10 || radix == 8 || radix == 16 || radix == 2) &&
|
||||||
|
"Radix should be 2, 8, 10, or 16!");
|
||||||
|
assert(StrStart && "String is null?");
|
||||||
|
unsigned size = 0;
|
||||||
|
// If the radix is a power of 2, read the input
|
||||||
|
// from most significant to least significant.
|
||||||
|
if ((radix & (radix - 1)) == 0) {
|
||||||
|
unsigned nextBitPos = 0, bits_per_digit = radix / 8 + 2;
|
||||||
|
uint64_t resDigit = 0;
|
||||||
|
BitWidth = slen * bits_per_digit;
|
||||||
|
if (getNumWords() > 1)
|
||||||
|
assert((pVal = new uint64_t[getNumWords()]) &&
|
||||||
|
"APInt memory allocation fails!");
|
||||||
|
for (int i = slen - 1; i >= 0; --i) {
|
||||||
|
uint64_t digit = StrStart[i] - 48; // '0' == 48.
|
||||||
|
resDigit |= digit << nextBitPos;
|
||||||
|
nextBitPos += bits_per_digit;
|
||||||
|
if (nextBitPos >= 64) {
|
||||||
|
if (isSingleWord()) {
|
||||||
|
VAL = resDigit;
|
||||||
|
break;
|
||||||
|
}
|
||||||
|
pVal[size++] = resDigit;
|
||||||
|
nextBitPos -= 64;
|
||||||
|
resDigit = digit >> (bits_per_digit - nextBitPos);
|
||||||
|
}
|
||||||
|
}
|
||||||
|
if (!isSingleWord() && size <= getNumWords())
|
||||||
|
pVal[size] = resDigit;
|
||||||
|
} else { // General case. The radix is not a power of 2.
|
||||||
|
// For 10-radix, the max value of 64-bit integer is 18446744073709551615,
|
||||||
|
// and its digits number is 20.
|
||||||
|
const unsigned chars_per_word = 20;
|
||||||
|
if (slen < chars_per_word ||
|
||||||
|
(slen == chars_per_word && // In case the value <= 2^64 - 1
|
||||||
|
strcmp(StrStart, "18446744073709551615") <= 0)) {
|
||||||
|
BitWidth = 64;
|
||||||
|
VAL = strtoull(StrStart, 0, 10);
|
||||||
|
} else { // In case the value > 2^64 - 1
|
||||||
|
BitWidth = (slen / chars_per_word + 1) * 64;
|
||||||
|
assert((pVal = new uint64_t[getNumWords()]) &&
|
||||||
|
"APInt memory allocation fails!");
|
||||||
|
memset(pVal, 0, getNumWords() * 8);
|
||||||
|
unsigned str_pos = 0;
|
||||||
|
while (str_pos < slen) {
|
||||||
|
unsigned chunk = slen - str_pos;
|
||||||
|
if (chunk > chars_per_word - 1)
|
||||||
|
chunk = chars_per_word - 1;
|
||||||
|
uint64_t resDigit = StrStart[str_pos++] - 48; // 48 == '0'.
|
||||||
|
uint64_t big_base = radix;
|
||||||
|
while (--chunk > 0) {
|
||||||
|
resDigit = resDigit * radix + StrStart[str_pos++] - 48;
|
||||||
|
big_base *= radix;
|
||||||
|
}
|
||||||
|
|
||||||
|
uint64_t carry;
|
||||||
|
if (!size)
|
||||||
|
carry = resDigit;
|
||||||
|
else {
|
||||||
|
carry = mul_1(pVal, pVal, size, big_base);
|
||||||
|
carry += add_1(pVal, pVal, size, resDigit);
|
||||||
|
}
|
||||||
|
|
||||||
|
if (carry) pVal[size++] = carry;
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
}
|
||||||
|
|
||||||
|
|||||||
Loading…
Reference in New Issue
Block a user