📄 fpcomplex.bsv
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//----------------------------------------------------------------------//// The MIT License // // Copyright (c) 2007 Alfred Man Cheuk Ng, mcn02@mit.edu // // Permission is hereby granted, free of charge, to any person // obtaining a copy of this software and associated documentation // files (the "Software"), to deal in the Software without // restriction, including without limitation the rights to use,// copy, modify, merge, publish, distribute, sublicense, and/or sell// copies of the Software, and to permit persons to whom the// Software is furnished to do so, subject to the following conditions:// // The above copyright notice and this permission notice shall be// included in all copies or substantial portions of the Software.// // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES// OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT// HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,// WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR// OTHER DEALINGS IN THE SOFTWARE.//----------------------------------------------------------------------////////////////////////////////////////////////////////////// Some useful functions for FixedPoint Complex Type// Author: Alfred Man C Ng // Email: mcn02@mit.edu// Data: 9-29-2006/////////////////////////////////////////////////////////import Complex::*;import ComplexLibrary::*;import FixedPoint::*;import FixedPointLibrary::*;typedef Complex#(FixedPoint#(i,f)) FPComplex#(type i, type f);// for displaying FPComplexfunction Action fpcmplxWrite(Integer fwidth, FPComplex#(i,f) a) provisos(Add#(1,xxA,i), Add#(4,xxB,TAdd#(32,f)), Add#(i,f,TAdd#(i,f))); return cmplxWrite(" "," + ","i",fxptWrite(fwidth),a);endfunction // Action//function Complex#(Bit#(n)) fpcmplxGetMSBs(FPComplex#(ai,af) x) provisos (Add#(xxA, n, TAdd#(ai,af))); return cmplxMap(fxptGetMSBs,x);endfunction // Complex// for fixedpoint complex multiplication function FPComplex#(ri,rf) fpcmplxMult(FPComplex#(ai,af) a, FPComplex#(bi,bf) b) provisos (Add#(ai,bi,ci), Add#(af,bf,rf), Add#(TAdd#(ai,af), TAdd#(bi,bf), TAdd#(ci,rf)), Arith#(FixedPoint#(ri,rf)), Add#(1,ci,ri), Add#(1, TAdd#(ci,rf), TAdd#(ri,rf))); let rel = fxptSignExtend(fxptMult(a.rel, b.rel)) - fxptSignExtend(fxptMult(a.img, b.img)); let img = fxptSignExtend(fxptMult(a.rel, b.img)) + fxptSignExtend(fxptMult(a.img, b.rel)); return cmplx(rel, img);endfunction // Complex//for fixedpoint complex signextendfunction FPComplex#(ri,rf) fpcmplxSignExtend(FPComplex#(ai,af) a) provisos (Add#(xxA,ai,ri), Add#(fdiff,af,rf), Add#(xxC,TAdd#(ai,af),TAdd#(ri,rf))); return cmplx(fxptSignExtend(a.rel), fxptSignExtend(a.img));endfunction // Complex//for fixedpoint complex truncatefunction FPComplex#(ri,rf) fpcmplxTruncate(FPComplex#(ai,af) a) provisos (Add#(xxA,ri,ai), Add#(xxB,rf,af), Add#(xxC,TAdd#(ri,rf),TAdd#(ai,af))); return cmplx(fxptTruncate(a.rel), fxptTruncate(a.img));endfunction // Complex// for fixedpoint complex modulus = rel^2 + img^2, ri = 2ai + 1, rf = 2affunction FixedPoint#(ri,rf) fpcmplxModSq(FPComplex#(ai,af) a) provisos (Add#(ai,ai,ci), Add#(af,af,rf), Add#(TAdd#(ai,af), TAdd#(ai,af), TAdd#(ci,rf)), Arith#(FixedPoint#(ri,rf)), Add#(1,ci,ri), Add#(1, TAdd#(ci,rf), TAdd#(ri,rf))); return (fxptSignExtend(fxptMult(a.rel, a.rel)) + fxptSignExtend(fxptMult(a.img, a.img)));endfunction // FixedPoint
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