s_fmaf.c 2.0 KB

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  1. /*-
  2. * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG>
  3. * All rights reserved.
  4. *
  5. * Redistribution and use in source and binary forms, with or without
  6. * modification, are permitted provided that the following conditions
  7. * are met:
  8. * 1. Redistributions of source code must retain the above copyright
  9. * notice, this list of conditions and the following disclaimer.
  10. * 2. Redistributions in binary form must reproduce the above copyright
  11. * notice, this list of conditions and the following disclaimer in the
  12. * documentation and/or other materials provided with the distribution.
  13. *
  14. * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
  15. * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
  16. * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
  17. * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
  18. * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
  19. * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
  20. * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
  21. * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
  22. * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
  23. * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
  24. * SUCH DAMAGE.
  25. */
  26. #include <sys/cdefs.h>
  27. #include "openlibm.h"
  28. /*
  29. * Fused multiply-add: Compute x * y + z with a single rounding error.
  30. *
  31. * A double has more than twice as much precision than a float, so
  32. * direct double-precision arithmetic suffices.
  33. *
  34. * XXX We are relying on the compiler to convert from double to float
  35. * using the current rounding mode and with the appropriate
  36. * side-effects. But on at least one platform (gcc 3.4.2/sparc64),
  37. * this appears to be too much to ask for. The precision
  38. * reduction should be done manually.
  39. */
  40. float
  41. fmaf(float x, float y, float z)
  42. {
  43. return ((double)x * y + z);
  44. }