{"id":"https://openalex.org/W2106801606","doi":"https://doi.org/10.1134/s036176880703005x","title":"Standardization and testing of implementations of mathematical functions in floating point numbers","display_name":"Standardization and testing of implementations of mathematical functions in floating point numbers","publication_year":2007,"publication_date":"2007-05-01","ids":{"openalex":"https://openalex.org/W2106801606","doi":"https://doi.org/10.1134/s036176880703005x","mag":"2106801606"},"language":"en","primary_location":{"id":"doi:10.1134/s036176880703005x","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s036176880703005x","pdf_url":null,"source":{"id":"https://openalex.org/S150218641","display_name":"Programming and Computer Software","issn_l":"0361-7688","issn":["0361-7688","1608-3261"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Programming and Computer Software","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/A5025737715","display_name":"\u0412. \u0412. \u041a\u0443\u043b\u044f\u043c\u0438\u043d","orcid":"https://orcid.org/0000-0003-3439-9534"},"institutions":[{"id":"https://openalex.org/I4210101868","display_name":"Institute for System Programming","ror":"https://ror.org/017ef8252","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210101868","https://openalex.org/I4210124601"]},{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"funder","lineage":["https://openalex.org/I1313323035"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"V. V. Kuliamin","raw_affiliation_strings":["Institute for System Programming, Russian Academy of Sciences, ul. Bol\u2019shaya Kommunisticheskaya 25, Moscow, 109004, Russia","Institute for System Programming Russian Academy of Sciences, , Moscow, Russia 109004#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute for System Programming, Russian Academy of Sciences, ul. Bol\u2019shaya Kommunisticheskaya 25, Moscow, 109004, Russia","institution_ids":["https://openalex.org/I4210101868"]},{"raw_affiliation_string":"Institute for System Programming Russian Academy of Sciences, , Moscow, Russia 109004#TAB#","institution_ids":["https://openalex.org/I1313323035"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5025737715"],"corresponding_institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I4210101868"],"apc_list":null,"apc_paid":null,"fwci":0.7286,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.73405773,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"33","issue":"3","first_page":"154","last_page":"173"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9993000030517578,"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":0.9993000030517578,"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/T13487","display_name":"Statistical and numerical algorithms","score":0.9728999733924866,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9305999875068665,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/standardization","display_name":"Standardization","score":0.9095538854598999},{"id":"https://openalex.org/keywords/implementation","display_name":"Implementation","score":0.8082000017166138},{"id":"https://openalex.org/keywords/ieee-floating-point","display_name":"IEEE floating point","score":0.6992301344871521},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6790130734443665},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5882725119590759},{"id":"https://openalex.org/keywords/floating-point","display_name":"Floating point","score":0.5865845680236816},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5409409403800964},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.33632147312164307},{"id":"https://openalex.org/keywords/computer-engineering","display_name":"Computer engineering","score":0.328940212726593},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30405479669570923},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.25700974464416504},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22133326530456543},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.0832509696483612}],"concepts":[{"id":"https://openalex.org/C188087704","wikidata":"https://www.wikidata.org/wiki/Q369577","display_name":"Standardization","level":2,"score":0.9095538854598999},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.8082000017166138},{"id":"https://openalex.org/C137231763","wikidata":"https://www.wikidata.org/wiki/Q828287","display_name":"IEEE floating point","level":3,"score":0.6992301344871521},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6790130734443665},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5882725119590759},{"id":"https://openalex.org/C84211073","wikidata":"https://www.wikidata.org/wiki/Q117879","display_name":"Floating point","level":2,"score":0.5865845680236816},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5409409403800964},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.33632147312164307},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.328940212726593},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30405479669570923},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.25700974464416504},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22133326530456543},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0832509696483612},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s036176880703005x","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s036176880703005x","pdf_url":null,"source":{"id":"https://openalex.org/S150218641","display_name":"Programming and Computer Software","issn_l":"0361-7688","issn":["0361-7688","1608-3261"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Programming and Computer Software","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":25,"referenced_works":["https://openalex.org/W153360611","https://openalex.org/W1589300585","https://openalex.org/W1980965137","https://openalex.org/W1986396242","https://openalex.org/W1999953680","https://openalex.org/W2044141398","https://openalex.org/W2073750546","https://openalex.org/W2076717173","https://openalex.org/W2104895541","https://openalex.org/W2107996047","https://openalex.org/W2119596225","https://openalex.org/W2120888440","https://openalex.org/W2137458298","https://openalex.org/W2149538173","https://openalex.org/W2156566607","https://openalex.org/W2167811272","https://openalex.org/W2169004268","https://openalex.org/W2313299119","https://openalex.org/W2470786087","https://openalex.org/W2565843813","https://openalex.org/W2801179766","https://openalex.org/W2979730858","https://openalex.org/W2987803397","https://openalex.org/W4300223101","https://openalex.org/W6636270082"],"related_works":["https://openalex.org/W2596474508","https://openalex.org/W3193325075","https://openalex.org/W2797902698","https://openalex.org/W3133934505","https://openalex.org/W1573821047","https://openalex.org/W2571248630","https://openalex.org/W4376144198","https://openalex.org/W2576390192","https://openalex.org/W4238649802","https://openalex.org/W1965717450"],"abstract_inverted_index":{"Requirements":[0],"definition":[1],"and":[2,88],"test":[3,63],"suites":[4,64],"development":[5],"for":[6,33,36,44,61,65],"implementations":[7,48],"of":[8,18,47,49,54,68,81,84,92],"mathematical":[9],"functions":[10,94],"in":[11,15],"floating":[12,85],"point":[13,86],"arithmetic":[14],"the":[16,19,45,66,82,93],"framework":[17],"IEEE":[20,57],"754":[21],"standard":[22,30],"are":[23,76],"considered.":[24],"A":[25,59],"method":[26,40,60],"based":[27,77],"on":[28,78,89],"this":[29,52],"is":[31,71],"proposed":[32,74],"defining":[34],"requirements":[35,70],"such":[37,50],"functions.":[38],"This":[39],"can":[41],"be":[42],"used":[43],"standardization":[46,55],"functions;":[51],"kind":[53],"extends":[56],"754.":[58],"designing":[62],"verification":[67],"those":[69],"presented.":[72],"The":[73],"methods":[75],"specific":[79],"properties":[80],"representation":[83],"numbers":[87],"some":[90],"features":[91],"under":[95],"examination.":[96]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}