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[数值计算] 批处理实现全精度浮点连乘

本帖最后由 happy886rr 于 2016-9-28 22:25 编辑

[Version:1.1]修正几处变量延迟bug
  纯批处理的计算能力有限,难道真的不能做浮点连乘、大数连乘吗?其实通过模拟构造,批处理完全可以实现函数式语言的计算能力。而且效率也是极佳的。下面是用bat模拟函数式语言,实现全精度浮点连乘。代码经高度优化,修正了同类大数批处理脚本的许多bug,速度也是同类批处理的9倍。无需考虑变量延迟,直接调用:MULTIPLICATION <算式>即可。
  1. @echo off
  2. REM 乘法测试
  3. CALL :MULTIPLICATION 1024×1024×1024
  4. CALL :MULTIPLICATION 9562.36523×1024×1024×1024
  5. CALL :MULTIPLICATION 269.79759569×865.0000003×3636.4236223×7857.0003×5365.6223×5.6223
  6. CALL :MULTIPLICATION 3.56967×3569269.79759569×0.00000000000323656236523×3636.00003264364236223
  7. CALL :MULTIPLICATION 3.1415926535897932384689793238462646535897932384626465358979323846264653589793238462642643383279502886535897932384626465358979323846264653589793238462646535×0.000000000000000765358979323846264653589793238462646535897932384626465358979323846264653589793238462646535897932384626465358979323846264653589793238462646535897932384626897932384626465358979323
  8. PAUSE>NUL
  9. EXIT
  10. def MULTIPLICATION():
  11. {
  12. :MULTIPLICATION <浮点乘表达式>
  13. set "expression=%1"
  14. if "!CHECK_ENABLE_DELAYED_EXPANSION!"=="%CHECK_ENABLE_DELAYED_EXPANSION%" (SETLOCAL) else (SETLOCAL ENABLEDELAYEDEXPANSION)
  15. set RESULT=1&set "expression=%expression:×= %"
  16. for %%a in (!expression!) do (
  17. CALL :CALCULATE !RESULT! %%a RESULT
  18. )
  19. echo 计算%1
  20. echo =!RESULT!
  21. ENDLOCAL
  22. GOTO :EOF
  23. }
  24. def CALCULATE():
  25. {
  26. :CALCULATE <被乘数> <乘数> [积]
  27. for /f "tokens=1,2 delims=." %%a in ("%1") do (
  28. set A1=%%a&set A=!A1!%%b
  29. if "%%b"=="" (set PA=0) else (
  30. set A2=%%b
  31. for %%i in (512 256 128 64 32 16 8 4 2 1) do (
  32.     if not "!A2:~%%i!"=="" (
  33. set/a PA+=%%i
  34. set "A2=!A2:~%%i!"
  35. )
  36. )
  37. if "!A2:~1!"=="" (set/a PA+=1)
  38. )
  39. )
  40. for /f "tokens=1,2 delims=." %%a in ("%2") do (
  41. set B1=%%a&set B=!B1!%%b
  42. if "%%b"=="" (set PB=0) else (
  43. set B2=%%b
  44. for %%i in (512 256 128 64 32 16 8 4 2 1) do (
  45.     if not "!B2:~%%i!"=="" (
  46. set/a PB+=%%i
  47. set "B2=!B2:~%%i!"
  48. )
  49. )
  50. if "!B2:~1!"=="" (set/a PB+=1)
  51. )
  52. )
  53. CALL :CUTNUM !A! A NA
  54. CALL :CUTNUM !B! B NB
  55. set/a "N=NA+NB,PO=PA+PB"
  56. for /l %%i in (1 1 !N!) do (
  57. for /l %%j in (1 1 %%i) do (
  58. set/a j=%%i-%%j+1
  59. if defined A[%%j] (
  60. if defined B[!j!] (
  61. set/a sum=A[%%j]*B[!j!]+sum
  62. )
  63. )
  64. )
  65. set/a s=sum+1000
  66. set sum=!sum:~0,-3!
  67. set pul=!s:~-3!!pul!
  68. )
  69. if !PO! equ 0 (
  70. for /l %%i in (1 1 10) do (
  71. if "!pul:~0,1!"=="0" (
  72. set pul=!pul:~1!
  73. )
  74. )
  75. set "%3=!pul!"
  76. ) else (
  77. set pre=!pul:~0,-%PO%!
  78. for /l %%i in (1 1 20) do (
  79. if "!pre:~0,1!"=="0" (
  80. set pre=!pre:~1!
  81. )
  82. )
  83. if not defined pre (set pre=0)
  84. set "%3=!pre!.!pul:~-%PO%!
  85. )
  86. for /l %%i in (1 1 !N!) do (set "A[%%i]="&set "B[%%i]=")&set "pul="&set/a "PA=0,PB=0,PO=0"
  87. GOTO :EOF
  88. }
  89. def CUTNUM():
  90. {
  91. :CUTNUM <待切分数> <数据类型> [切分组数]
  92. set num=%1
  93. if "!num:~-3!"=="!num:~-4!" (
  94. set %2[1]=!num!
  95. set %3=1
  96. GOTO :EOF
  97. )
  98. for /l %%i in (1 1 365) do (
  99. if "!num:~0,-3!"=="" (
  100. set/a %2[%%i]=!num!
  101. set %3=%%i
  102. GOTO :EOF
  103. )
  104. set/a %2[%%i]=1!num:~-3!-1000
  105. set num=!num:~0,-3%!
  106. )
  107. GOTO :EOF
  108. }
复制代码
1

评分人数

    • 523066680: 原来都是跨界达人~ :)PB + 6 技术 + 1

回复 2# zhangzsky
好眼力,那你知道为什么会这样吗?

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回复 5# Byaidu
感谢指正,因我初学bat时看到image能显示图片,很好奇,就去研究它是怎么做的,然后就上了C的贼船。

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