{"id":"https://openalex.org/W2109955300","doi":"https://doi.org/10.1145/1480945.1480960","title":"Program transformation for numerical precision","display_name":"Program transformation for numerical precision","publication_year":2009,"publication_date":"2009-01-19","ids":{"openalex":"https://openalex.org/W2109955300","doi":"https://doi.org/10.1145/1480945.1480960","mag":"2109955300"},"language":"en","primary_location":{"id":"doi:10.1145/1480945.1480960","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1480945.1480960","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2009 ACM SIGPLAN workshop on Partial evaluation and program manipulation","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057608137","display_name":"Matthieu Martel","orcid":"https://orcid.org/0000-0002-6238-9651"},"institutions":[{"id":"https://openalex.org/I151295451","display_name":"Universit\u00e9 de Perpignan","ror":"https://ror.org/03am2jy38","country_code":"FR","type":"education","lineage":["https://openalex.org/I151295451"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Matthieu Martel","raw_affiliation_strings":["Universit\u00e9 de Perpignan Via Domitia, Perpignan, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Perpignan Via Domitia, Perpignan, France","institution_ids":["https://openalex.org/I151295451"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5057608137"],"corresponding_institution_ids":["https://openalex.org/I151295451"],"apc_list":null,"apc_paid":null,"fwci":4.2284,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.9442121,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"101","last_page":"110"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9821000099182129,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13650","display_name":"Computational Physics and Python Applications","score":0.9593999981880188,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.7174592614173889},{"id":"https://openalex.org/keywords/program-transformation","display_name":"Program transformation","score":0.6268472075462341},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6247009634971619},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6233766078948975},{"id":"https://openalex.org/keywords/rewriting","display_name":"Rewriting","score":0.5920795798301697},{"id":"https://openalex.org/keywords/associative-property","display_name":"Associative property","score":0.580798864364624},{"id":"https://openalex.org/keywords/abstract-interpretation","display_name":"Abstract interpretation","score":0.5613484382629395},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5245245695114136},{"id":"https://openalex.org/keywords/semantics","display_name":"Semantics (computer science)","score":0.5208214521408081},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.498354434967041},{"id":"https://openalex.org/keywords/machine-epsilon","display_name":"Machine epsilon","score":0.47157803177833557},{"id":"https://openalex.org/keywords/floating-point","display_name":"Floating point","score":0.43425628542900085},{"id":"https://openalex.org/keywords/arbitrary-precision-arithmetic","display_name":"Arbitrary-precision arithmetic","score":0.4181733727455139},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.39181697368621826},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3636109232902527},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29694727063179016},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2590758204460144}],"concepts":[{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.7174592614173889},{"id":"https://openalex.org/C2778361913","wikidata":"https://www.wikidata.org/wiki/Q7248437","display_name":"Program transformation","level":2,"score":0.6268472075462341},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6247009634971619},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6233766078948975},{"id":"https://openalex.org/C154690210","wikidata":"https://www.wikidata.org/wiki/Q1668499","display_name":"Rewriting","level":2,"score":0.5920795798301697},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.580798864364624},{"id":"https://openalex.org/C2780654840","wikidata":"https://www.wikidata.org/wiki/Q333341","display_name":"Abstract interpretation","level":2,"score":0.5613484382629395},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5245245695114136},{"id":"https://openalex.org/C184337299","wikidata":"https://www.wikidata.org/wiki/Q1437428","display_name":"Semantics (computer science)","level":2,"score":0.5208214521408081},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.498354434967041},{"id":"https://openalex.org/C203739276","wikidata":"https://www.wikidata.org/wiki/Q1780355","display_name":"Machine epsilon","level":2,"score":0.47157803177833557},{"id":"https://openalex.org/C84211073","wikidata":"https://www.wikidata.org/wiki/Q117879","display_name":"Floating point","level":2,"score":0.43425628542900085},{"id":"https://openalex.org/C83581934","wikidata":"https://www.wikidata.org/wiki/Q527381","display_name":"Arbitrary-precision arithmetic","level":2,"score":0.4181733727455139},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39181697368621826},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3636109232902527},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29694727063179016},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2590758204460144},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1480945.1480960","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1480945.1480960","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2009 ACM SIGPLAN workshop on Partial evaluation and program manipulation","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.519.5047","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.519.5047","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://perso.univ-perp.fr/matthieu.martel/pepm09martel.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W581104972","https://openalex.org/W1495012123","https://openalex.org/W1526045365","https://openalex.org/W1531068736","https://openalex.org/W1548182513","https://openalex.org/W1556604985","https://openalex.org/W1793682442","https://openalex.org/W1822341686","https://openalex.org/W1986740709","https://openalex.org/W2008609084","https://openalex.org/W2033118822","https://openalex.org/W2043100293","https://openalex.org/W2049890071","https://openalex.org/W2072118759","https://openalex.org/W2105313514","https://openalex.org/W2109405546","https://openalex.org/W2116673421","https://openalex.org/W2119946195","https://openalex.org/W2130084210","https://openalex.org/W2157670241","https://openalex.org/W2169004268","https://openalex.org/W6616862360"],"related_works":["https://openalex.org/W2937715180","https://openalex.org/W2728270059","https://openalex.org/W2012407419","https://openalex.org/W4376144198","https://openalex.org/W3007045670","https://openalex.org/W3039927303","https://openalex.org/W1965905913","https://openalex.org/W17415252","https://openalex.org/W1500512458","https://openalex.org/W1983325766"],"abstract_inverted_index":{"This":[0,98],"article":[1],"introduces":[2],"a":[3,20,86],"new":[4],"program":[5,21],"transformation":[6,88,99],"in":[7,80,89,102,116],"order":[8,90,117],"to":[9,41,56,75,91,118,122],"enhance":[10],"the":[11,28,42,49,57,81,93,103,124,131],"numerical":[12,78,94,114],"accuracy":[13,95],"of":[14,45,96,113],"floating-point":[15],"computations.":[16],"We":[17,84],"consider":[18],"that":[19],"would":[22,126],"return":[23],"an":[24],"exact":[25,132],"result":[26],"if":[27,128],"computations":[29],"were":[30],"carried":[31],"out":[32],"using":[33,67],"real":[34],"numbers.":[35],"In":[36],"practice,":[37],"roundoff":[38],"errors":[39,52],"due":[40],"finite":[43],"representation":[44],"values":[46],"arise":[47],"during":[48],"execution.":[50],"These":[51],"are":[53,60],"closely":[54],"related":[55],"way":[58],"formulas":[59],"evaluated.":[61],"Indeed,":[62],"mathematically":[63],"equivalent":[64],"formulas,":[65],"obtained":[66],"laws":[68],"like":[69],"associativity,":[70],"distributivity,":[71],"etc.,":[72],"may":[73],"lead":[74],"very":[76],"different":[77],"results":[79,120],"computer":[82,125],"arithmetic.":[83,133],"propose":[85],"semantics-based":[87],"optimize":[92],"programs.":[97],"is":[100],"expressed":[101],"abstract":[104],"interpretation":[105],"framework":[106],"and":[107],"it":[108,129],"aims":[109],"at":[110],"rewriting":[111],"pieces":[112],"codes":[115],"obtain":[119],"closer":[121],"what":[123],"output":[127],"used":[130]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":7}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}