webrtc / src / b0c1b4e24d5250f3d9def9ccc3300e9a1237953f / . / webrtc / common_audio / signal_processing / spl_sqrt_floor.c

/* | |

* Written by Wilco Dijkstra, 1996. The following email exchange establishes the | |

* license. | |

* | |

* From: Wilco Dijkstra <Wilco.Dijkstra@ntlworld.com> | |

* Date: Fri, Jun 24, 2011 at 3:20 AM | |

* Subject: Re: sqrt routine | |

* To: Kevin Ma <kma@google.com> | |

* Hi Kevin, | |

* Thanks for asking. Those routines are public domain (originally posted to | |

* comp.sys.arm a long time ago), so you can use them freely for any purpose. | |

* Cheers, | |

* Wilco | |

* | |

* ----- Original Message ----- | |

* From: "Kevin Ma" <kma@google.com> | |

* To: <Wilco.Dijkstra@ntlworld.com> | |

* Sent: Thursday, June 23, 2011 11:44 PM | |

* Subject: Fwd: sqrt routine | |

* Hi Wilco, | |

* I saw your sqrt routine from several web sites, including | |

* http://www.finesse.demon.co.uk/steven/sqrt.html. | |

* Just wonder if there's any copyright information with your Successive | |

* approximation routines, or if I can freely use it for any purpose. | |

* Thanks. | |

* Kevin | |

*/ | |

// Minor modifications in code style for WebRTC, 2012. | |

#include "webrtc/common_audio/signal_processing/include/signal_processing_library.h" | |

/* | |

* Algorithm: | |

* Successive approximation of the equation (root + delta) ^ 2 = N | |

* until delta < 1. If delta < 1 we have the integer part of SQRT (N). | |

* Use delta = 2^i for i = 15 .. 0. | |

* | |

* Output precision is 16 bits. Note for large input values (close to | |

* 0x7FFFFFFF), bit 15 (the highest bit of the low 16-bit half word) | |

* contains the MSB information (a non-sign value). Do with caution | |

* if you need to cast the output to int16_t type. | |

* | |

* If the input value is negative, it returns 0. | |

*/ | |

#define WEBRTC_SPL_SQRT_ITER(N) \ | |

try1 = root + (1 << (N)); \ | |

if (value >= try1 << (N)) \ | |

{ \ | |

value -= try1 << (N); \ | |

root |= 2 << (N); \ | |

} | |

int32_t WebRtcSpl_SqrtFloor(int32_t value) | |

{ | |

int32_t root = 0, try1; | |

WEBRTC_SPL_SQRT_ITER (15); | |

WEBRTC_SPL_SQRT_ITER (14); | |

WEBRTC_SPL_SQRT_ITER (13); | |

WEBRTC_SPL_SQRT_ITER (12); | |

WEBRTC_SPL_SQRT_ITER (11); | |

WEBRTC_SPL_SQRT_ITER (10); | |

WEBRTC_SPL_SQRT_ITER ( 9); | |

WEBRTC_SPL_SQRT_ITER ( 8); | |

WEBRTC_SPL_SQRT_ITER ( 7); | |

WEBRTC_SPL_SQRT_ITER ( 6); | |

WEBRTC_SPL_SQRT_ITER ( 5); | |

WEBRTC_SPL_SQRT_ITER ( 4); | |

WEBRTC_SPL_SQRT_ITER ( 3); | |

WEBRTC_SPL_SQRT_ITER ( 2); | |

WEBRTC_SPL_SQRT_ITER ( 1); | |

WEBRTC_SPL_SQRT_ITER ( 0); | |

return root >> 1; | |

} |