{"id":5363,"date":"2025-10-15T09:20:39","date_gmt":"2025-10-15T08:20:39","guid":{"rendered":"http:\/\/roboblog.fatal-fury.de\/?p=5363"},"modified":"2025-10-15T10:17:49","modified_gmt":"2025-10-15T09:17:49","slug":"zahl-logarithmisch-abrunden","status":"publish","type":"post","link":"http:\/\/roboblog.fatal-fury.de\/?p=5363","title":{"rendered":"Zahl \"logarithmisch\" abrunden"},"content":{"rendered":"

Eine Zahl logarithmisch abrunden ohne pow() und log() Funktion, nur mit Bit schupsen.<\/p>\n

\"\"<\/a><\/p>\n

\r\ninline float binarLogFloor(float value) {\r\n    uint32_t n = 0;\r\n    std::memcpy(&n, &value, sizeof(value)); \/\/ no aliasing violation\r\n\r\n    \/\/ Float 1 vorzeichen 8 exponent 23 mantisse\r\n    \/\/     v exp      M\r\n    n &= 0b1111'1111'1100'0000'0000'0000'0000'0000;\r\n    std::memcpy(&value, &n, sizeof(n));\r\n\r\n    return value;\r\n}\r\n\r\n\/\/ constexpr \\o\/\r\nconstexpr float binarLogFloor_bitcast(float value) {\r\n    uint32_t n = std::bit_cast<uint32_t>(value);\r\n    \/\/ Float 1 vorzeichen 8 exponent 23 mantisse\r\n    \/\/     v exp      M\r\n    n &= 0b1111'1111'1100'0000'0000'0000'0000'0000;\r\n    return std::bit_cast<float>(n);\r\n}\r\n\r\nstatic_assert(binarLogFloor_bitcast(0.2f) == 0.1875f);\r\n\r\nint main() {\r\n    assert(binarLogFloor_memcpy(0.2f) == 0.1875f);\r\n    assert(binarLogFloor_bitcast(0.2f) == 0.1875f);\r\n}\r\n<\/pre>\n
\r\nreal(4) function binarLogFloor(value)\r\n    implicit none\r\n    real(4), intent(in) :: value\r\n    integer(4) :: n\r\n\r\n    n = transfer(value, n)\r\n    ! Float 1 vorzeichen 8 exponent 23 mantisse\r\n    !             v exp    M\r\n    n = IAND(n, b'11111111110000000000000000000000')\r\n    binarLogFloor = transfer(n, binarLogFloor)\r\nend function \r\n<\/pre>\n
\r\nbinarLogFloor(float):\r\n        vmovd   %xmm0, %eax\r\n        andl    $-4194304, %eax\r\n        vmovd   %eax, %xmm0\r\n        ret\r\n<\/pre>\n
Mit 1 Mantisse Bit<\/p>\n
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Eine Zahl logarithmisch abrunden ohne pow() und log() Funktion, nur mit Bit schupsen. inline float binarLogFloor(float value) { uint32_t n = 0; std::memcpy(&n, &value, sizeof(value)); \/\/ no aliasing violation \/\/ Float 1 vorzeichen 8 exponent 23 mantisse \/\/ v exp M n &= 0b1111'1111'1100'0000'0000'0000'0000'0000; std::memcpy(&value, &n, sizeof(n)); return value; } \/\/ constexpr \\o\/ constexpr float […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[17,30],"class_list":["post-5363","post","type-post","status-publish","format-standard","hentry","category-allgemein","tag-cpp","tag-fortran"],"_links":{"self":[{"href":"http:\/\/roboblog.fatal-fury.de\/index.php?rest_route=\/wp\/v2\/posts\/5363","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/roboblog.fatal-fury.de\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/roboblog.fatal-fury.de\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/roboblog.fatal-fury.de\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/roboblog.fatal-fury.de\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5363"}],"version-history":[{"count":5,"href":"http:\/\/roboblog.fatal-fury.de\/index.php?rest_route=\/wp\/v2\/posts\/5363\/revisions"}],"predecessor-version":[{"id":5369,"href":"http:\/\/roboblog.fatal-fury.de\/index.php?rest_route=\/wp\/v2\/posts\/5363\/revisions\/5369"}],"wp:attachment":[{"href":"http:\/\/roboblog.fatal-fury.de\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5363"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/roboblog.fatal-fury.de\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5363"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/roboblog.fatal-fury.de\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5363"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}