diff options
Diffstat (limited to 'src/algebra/expexpan.spad.pamphlet')
| -rw-r--r-- | src/algebra/expexpan.spad.pamphlet | 18 |
1 files changed, 9 insertions, 9 deletions
diff --git a/src/algebra/expexpan.spad.pamphlet b/src/algebra/expexpan.spad.pamphlet index 346bf3eb..acfc7f09 100644 --- a/src/algebra/expexpan.spad.pamphlet +++ b/src/algebra/expexpan.spad.pamphlet @@ -151,8 +151,8 @@ UnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen):_ coeff : Term -> UPXS exponent : Term -> EXPUPXS exponentTerms : Term -> List PxRec - setExponentTerms_! : (Term,List PxRec) -> List PxRec - computeExponentTerms_! : Term -> List PxRec + setExponentTerms! : (Term,List PxRec) -> List PxRec + computeExponentTerms! : Term -> List PxRec terms : % -> List Term sortAndDiscardTerms: List Term -> TRec termsWithExtremeLeadingCoef : (L Term,RN,I) -> Union(L Term,"failed") @@ -173,9 +173,9 @@ UnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen):_ coeff term == term.%coef exponent term == term.%expon exponentTerms term == term.%expTerms - setExponentTerms_!(term,list) == term.%expTerms := list - computeExponentTerms_! term == - setExponentTerms_!(term,entries complete terms exponent term) + setExponentTerms!(term,list) == term.%expTerms := list + computeExponentTerms! term == + setExponentTerms!(term,entries complete terms exponent term) terms f == -- terms with a higher order singularity will appear closer to the @@ -249,7 +249,7 @@ UnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen):_ termList := rest termList -- reverse "failed terms" so that higher order singularities -- appear at the beginning of the list - [zeroTerms,infiniteTerms,reverse_! failedTerms,pSeries] + [zeroTerms,infiniteTerms,reverse! failedTerms,pSeries] termsWithExtremeLeadingCoef(termList,ord,signum) == -- 'termList' consists of terms of the form [g(x),exp(f(x)),...]; @@ -289,7 +289,7 @@ UnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen):_ outList := list term -- advance pointers on "exponent terms" on terms on 'outList' for term in outList repeat - setExponentTerms_!(term,rest exponentTerms term) + setExponentTerms!(term,rest exponentTerms term) [outList,ordExtreme] dominantTermOnList(termList,ord0,signum) == @@ -319,13 +319,13 @@ UnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen):_ not zero? pSeries => [makeTerm(pSeries,0),"series"] not empty? infiniteTerms => empty? rest infiniteTerms => [first infiniteTerms,"infinity"] - for term in infiniteTerms repeat computeExponentTerms_! term + for term in infiniteTerms repeat computeExponentTerms! term ord0 := order exponent first infiniteTerms (dTerm := dominantTermOnList(infiniteTerms,ord0,1)) case "failed" => return "failed" [dTerm :: Term,"infinity"] empty? rest zeroTerms => [first zeroTerms,"zero"] - for term in zeroTerms repeat computeExponentTerms_! term + for term in zeroTerms repeat computeExponentTerms! term ord0 := order exponent first zeroTerms (dTerm := dominantTermOnList(zeroTerms,ord0,-1)) case "failed" => return "failed" |