الجداول الدقيقة لغال

الجداول الدقيقة لغال (بالإنجليزية: Gal's accurate tables)‏، هي طريقة ابتكرها شموئيل غال لتوفير قيم دقيقة للدوال الخاصة باستخدام جدول البحث والاستيفاء. هي طريقة سريعة وفعالة لتوليد قيم للدوال مثل الدوال الأسية أو الدوال المثلثية ضمن دقة البت الأخيرة لجميع قيم المتغيرات تقريبا دون استخدام حساب مدد الدقة.[1][2][3][4][5]

الفكرة الرئيسية في جداول غال الدقيقة هي جدولة مختلفة للوظيفة الخاصة التي يتم حسابها. عادة، ينقسم النطاق إلى عدة عمليات فرعية، كل منها بقيم مسبقة الصيغ وصيغ تصحيح. لحساب الدالة، ابحث عن أقرب نقطة وحساب تصحيح كدالة للمسافة.

مراجع

  1. ^ Gal، Shmuel (1986). "Computing elementary functions: A new approach for achieving high accuracy and good performance". في Miranker، Willard L.؛ Toupin، Richard A. (المحررون). Accurate Scientific Computations (ط. 1). Proceedings of Computations, Symposium, Bad Neuenahr, Federal Republic of Germany, March 12-14, 1985: شبرينغر Berlin Heidelberg. ص. 1–16. ISBN:978-3-540-16798-3.{{استشهاد بكتاب}}: صيانة الاستشهاد: مكان (link)
  2. ^ Gal، Shmuel؛ Bachelis، Boris (1991). "An accurate elementary mathematical library for the IEEE floating point standard". ACM Transactions on Mathematical Software.
  3. ^ Muller، Jean-Michel (2006). Elementary Functions: Algorithms and Implementation (ط. 2). Boston, MA, USA: Birkhäuser. ISBN:978-0-8176-4372-0. LCCN:2005048094.
  4. ^ Muller، Jean-Michel (12 ديسمبر 2016). Elementary Functions: Algorithms and Implementation (ط. 3). Boston, MA, USA: Birkhäuser. ISBN:978-1-4899-7981-0.
  5. ^ Stehlé، Damien؛ Zimmermann، Paul (2005). "Gal's Accurate Tables Method Revisited" (PDF). 17th IEEE Symposium on Computer Arithmetic (ARITH'05). ص. 257–264. DOI:10.1109/ARITH.2005.24. ISBN:0-7695-2366-8. مؤرشف (PDF) من الأصل في 2018-01-15. اطلع عليه بتاريخ 2018-01-15.
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