fastsincosf: fast single precision Sine and Cosine

• Weak alias: sincosf
• C Prototype:
  • void fastsincosf (float x, float s, float c);
  • Inputs:
    • float x - the single precision input value.
  • Outputs:
    • float s - Sine of x.
    • float c - Cosine of x.
• Fortran Subroutine Interface:
  • SUBROUTINE FASTSINCOSF(X,S,C)
  • Inputs:
    • REAL X - the single precision input value.
  • Outputs:
    • REAL S - Sine of X.
    • REAL C - Cosine of X.
• Notes:
  • fastsincosf computes the Sine and Cosine functions of its argument x.
    
    This function can provide a significant performance advantage for applications that require both the sine and cosine of an angle, such as axis and matrix rotation. This is a relaxed version of sincosf, suitable for use with fastmath compiler flags or applications not requiring full error handling. Denormal inputs may produce unpredictable results. Error inputs produce C99 return values. The routine is accurate to better than 1 ulp over the valid input range.
• Special case return values:

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

• Performance:
  • 91-102 cycles for most valid inputs < 5e5.