vrd4_sin: Four-valued double precision Sine

• C Prototype:
  • __m128d __vrd4_sin(__m128d x);
    Note that this function uses a non-standard programming interface. The two __m128d inputs, which contain four double precision values, are passed by the AMD64 C ABI in registers xmm0, and xmm1. The corresponding results are returned in xmm0 and xmm1. The use of xmm1 to return a __m128d is non-standard, and this function can not be called directly from C. It can be called directly from assembly language. It is intended for internal use by vectorizing compilers, that may be able to take advantage of the non-standard calling interface.
  • Inputs:
    • __m128d x1 - the first double precision input value pair.
    • __m128d x2 - the second double precision input value pair.
  • Outputs:
    • __m128d y1 - the first double precision Sine result pair, returned in xmm0.
    • __m128d y2 - second double precision Sine result pair, returned in xmm1.
• Notes:
  • __vrd4_sin computes the Sine function of four input arguments.
    
    This routine accepts four double precision input values passed as two __m128d values. The result is the double precision Sine of the four values, returned as two __m128d values. This is a relaxed version of sin, suitable for use with fastmath compiler flags or applications not requiring full error handling. Denormal inputs may produce unpredictable results. Special case inputs produce C99 return values. The routine is accurate to better than 1 ulp over the valid input range. This routine may return slightly worse than 1 ulp for very large values between 4e5 and 5e5.
• Special case return values:

  • Input	Output
    QNaN	same QNaN
    SNaN	same NaN converted to QNaN
    +infinity	QNaN
    -infinity	QNaN

• Performance:
  • 172 cycles for most valid inputs < 5e5 (43 cycles per value).