3.47222221605458667310e-03,
	8.33333333333482257126e-02,
}

// Gamma function computed by Stirling's formula.
// The pair of results must be multiplied together to get the actual answer.
// The multiplication is left to the caller so that, if careful, the caller can avoid
// infinity for 172 <= x <= 180.
// The polynomial is valid for 33 <= x <= 172; larger values are only used

			t.Errorf("unexpeted failure: %v", c)
		} else if ok {
			if c != test.c {
				t.Errorf("%v: unexpected result: %d", test, c)
			}
		} else {
			if c != test.a {
				t.Errorf("%v: overflow multiplication mutated source: %d", test, c)
			}
		}
	}
}

func TestInt64AsCanonicalString(t *testing.T) {
	for _, test := range []struct {
		value    int64
		scale    Scale
		result   string

  //        Furthermore, recall that matrix multiplication, which is
  //   represented by the equation "ab,bc->ac", has its VJPs given by the
  //   einsum equations "ac,bc->ab" and "ab,ac->bc" (see, for example
  //   https://math.stackexchange.com/a/2755680). Combined with transposes and
  //   traces we can rewrite Tensor contractions as regular matrix
  //   multiplication. Since each of these operations have their VJPs described

	curve      Curve
	privateKey []byte
	boring     *boring.PrivateKeyECDH
	// publicKey is set under publicKeyOnce, to allow loading private keys with
	// NewPrivateKey without having to perform a scalar multiplication.
	publicKey     *PublicKey
	publicKeyOnce sync.Once
}

// ECDH performs an ECDH exchange and returns the shared secret. The [PrivateKey]
// and [PublicKey] must use the same curve.
//

	VLM     0(R3), V5, V8
	VPERM   V5, V5, CONST_PERM_LE2BE, V5
	VPERM   V6, V6, CONST_PERM_LE2BE, V6
	VPERM   V7, V7, CONST_PERM_LE2BE, V7
	VPERM   V8, V8, CONST_PERM_LE2BE, V8


	// Perform a GF(2) multiplication of the doublewords in V1 with
	// the reduction constants in V0.  The intermediate result is
	// then folded (accumulated) with the next data chunk in V5 and
	// stored in V1.  Repeat this step for the register contents

//
// See Ulf Adams, "Ryū: Fast Float-to-String Conversion" (doi:10.1145/3192366.3192369)
//
// Fixed precision formatting is a variant of the original paper's
// algorithm, where a single multiplication by 10^k is required,
// sharing the same rounding guarantees.

// ryuFtoaFixed32 formats mant*(2^exp) with prec decimal digits.
func ryuFtoaFixed32(d *decimalSlice, mant uint32, exp int, prec int) {
	if prec < 0 {

    // [-512, 512], instead of [-32767, 32767].
    // For now this behavior is specific for SVDF, where 6 bits are reserved for
    // the reduce operation after element-wise multiplication between state and
    // time weights.
    if (tensor_property.number_of_bits == 10) {
      SmallVector<double, 4> mins(1, std::numeric_limits<double>::max());

      return true;
    }
  },
  /**
   * This strategy uses all 128 bits of {@link Hashing#murmur3_128} when hashing. It looks different
   * from the implementation in MURMUR128_MITZ_32 because we're avoiding the multiplication in the
   * loop and doing a (much simpler) += hash2. We're also changing the index to a positive number by
   * AND'ing with Long.MAX_VALUE instead of flipping the bits.
   */
  MURMUR128_MITZ_64() {
    @Override

	// invalid scalars and the zero value. BytesX returns an error for the point
	// at infinity, but in a prime order group such as the NIST curves that can
	// only be the result of a scalar multiplication if one of the inputs is the
	// zero scalar or the point at infinity.

	if boring.Enabled {
		return boring.ECDH(local.boring, remote.boring)
	}

	boring.Unreachable()

//      From step 1, we have
//         expm1(x) = either 2**k*[expm1(r)+1] - 1
//                  = or     2**k*[expm1(r) + (1-2**-k)]
//   4. Implementation notes:
//      (A). To save one multiplication, we scale the coefficient Qi
//           to Qi*2**i, and replace z by (x**2)/2.
//      (B). To achieve maximum accuracy, we compute expm1(x) by
//        (i)   if x < -56*ln2, return -1.0, (raise inexact if x!=inf)