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cassemblygccx86-64

How can I multiply 64 bit operands and get 128 bit result portably?


For x64 I can use this:

 {
   uint64_t hi, lo;
  // hi,lo = 64bit x 64bit multiply of c[0] and b[0]

   __asm__("mulq %3\n\t"
    : "=d" (hi),
  "=a" (lo)
    : "%a" (c[0]),
  "rm" (b[0])
    : "cc" );

   a[0] += hi;
   a[1] += lo;
 }

But I'd like to perform the same calculation portably. For instance to work on x86.


Solution

  • As I understand the question, you want a portable pure C implementation of 64 bit multiplication, with output to a 128 bit value, stored in two 64 bit values. In which case this article purports to have what you need. That code is written for C++. It doesn't take much to turn it into C code:

    void mult64to128(uint64_t op1, uint64_t op2, uint64_t *hi, uint64_t *lo)
    {
        uint64_t u1 = (op1 & 0xffffffff);
        uint64_t v1 = (op2 & 0xffffffff);
        uint64_t t = (u1 * v1);
        uint64_t w3 = (t & 0xffffffff);
        uint64_t k = (t >> 32);
    
        op1 >>= 32;
        t = (op1 * v1) + k;
        k = (t & 0xffffffff);
        uint64_t w1 = (t >> 32);
    
        op2 >>= 32;
        t = (u1 * op2) + k;
        k = (t >> 32);
    
        *hi = (op1 * op2) + w1 + k;
        *lo = (t << 32) + w3;
    }