{"id":"https://openalex.org/W2099597212","doi":"https://doi.org/10.1002/spe.4380131207","title":"The necessity for accurate compiler\u2010provided routines when evaluating special functions","display_name":"The necessity for accurate compiler\u2010provided routines when evaluating special functions","publication_year":1983,"publication_date":"1983-12-01","ids":{"openalex":"https://openalex.org/W2099597212","doi":"https://doi.org/10.1002/spe.4380131207","mag":"2099597212"},"language":"en","primary_location":{"id":"doi:10.1002/spe.4380131207","is_oa":false,"landing_page_url":"https://doi.org/10.1002/spe.4380131207","pdf_url":null,"source":{"id":"https://openalex.org/S122199241","display_name":"Software Practice and Experience","issn_l":"0038-0644","issn":["0038-0644","1097-024X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Software: Practice and Experience","raw_type":"journal-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/A5060159226","display_name":"J. Oliver","orcid":"https://orcid.org/0000-0001-8717-1483"},"institutions":[{"id":"https://openalex.org/I110002522","display_name":"University of Essex","ror":"https://ror.org/02nkf1q06","country_code":"GB","type":"education","lineage":["https://openalex.org/I110002522"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"J. Oliver","raw_affiliation_strings":["Department of Computer Science, University of Essex, Colchester, Essex C04 3SQ"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Essex, Colchester, Essex C04 3SQ","institution_ids":["https://openalex.org/I110002522"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5060159226"],"corresponding_institution_ids":["https://openalex.org/I110002522"],"apc_list":{"value":4220,"currency":"USD","value_usd":4220},"apc_paid":null,"fwci":0.5713,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.67810189,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":"12","first_page":"1169","last_page":"1174"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9984999895095825,"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":0.9984999895095825,"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":0.9889000058174133,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9824000000953674,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/rounding","display_name":"Rounding","score":0.8762948513031006},{"id":"https://openalex.org/keywords/compiler","display_name":"Compiler","score":0.7662348747253418},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.6910440921783447},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.623240053653717},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5800533294677734},{"id":"https://openalex.org/keywords/principal","display_name":"Principal (computer security)","score":0.5755046010017395},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5451294183731079},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.461535781621933},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46073147654533386},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.330799400806427},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3254665434360504},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.14008858799934387},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09776651859283447}],"concepts":[{"id":"https://openalex.org/C136625980","wikidata":"https://www.wikidata.org/wiki/Q663208","display_name":"Rounding","level":2,"score":0.8762948513031006},{"id":"https://openalex.org/C169590947","wikidata":"https://www.wikidata.org/wiki/Q47506","display_name":"Compiler","level":2,"score":0.7662348747253418},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.6910440921783447},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.623240053653717},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5800533294677734},{"id":"https://openalex.org/C144559511","wikidata":"https://www.wikidata.org/wiki/Q2986279","display_name":"Principal (computer security)","level":2,"score":0.5755046010017395},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5451294183731079},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.461535781621933},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46073147654533386},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.330799400806427},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3254665434360504},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.14008858799934387},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09776651859283447},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/spe.4380131207","is_oa":false,"landing_page_url":"https://doi.org/10.1002/spe.4380131207","pdf_url":null,"source":{"id":"https://openalex.org/S122199241","display_name":"Software Practice and Experience","issn_l":"0038-0644","issn":["0038-0644","1097-024X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Software: Practice and Experience","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W2000539294","https://openalex.org/W2010992311","https://openalex.org/W2039014795","https://openalex.org/W2085613178","https://openalex.org/W2149790898"],"related_works":["https://openalex.org/W4220780102","https://openalex.org/W1502401885","https://openalex.org/W2410881844","https://openalex.org/W3196334750","https://openalex.org/W2004257129","https://openalex.org/W2116281088","https://openalex.org/W2016668641","https://openalex.org/W2357551824","https://openalex.org/W2019368960","https://openalex.org/W1609890636"],"abstract_inverted_index":{"Abstract":[0],"Earlier":[1],"authors":[2],"have":[3],"shown":[4,58],"experimentally":[5],"that":[6],"the":[7,14,48,54,64],"relative":[8],"effect":[9],"of":[10,16,36,52],"rounding":[11],"errors":[12],"in":[13],"evaluation":[15,66],"polynomial":[17,55],"approximations":[18],"to":[19,59],"certain":[20],"special":[21],"functions":[22],"may":[23],"be":[24,60],"significantly":[25],"reduced":[26],"by":[27,40],"first":[28],"extracting":[29],"an":[30,41],"exponential":[31,39],"factor.":[32],"The":[33],"critical":[34],"importance":[35],"evaluating":[37],"this":[38],"accurate":[42,62],"library":[43],"function":[44],"is":[45],"demonstrated,":[46],"and":[47],"two":[49],"principal":[50],"methods":[51],"representing":[53],"part":[56],"are":[57,68],"equally":[61],"provided":[63],"recommended":[65],"schemes":[67],"employed.":[69]},"counts_by_year":[],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
