更新了计算机模拟物理第2周作业代码，第1题和第2题
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20
computer-hw2-1/computer-hw2-1.sln
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computer-hw2-1/computer-hw2-1.sln
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Microsoft Visual Studio Solution File, Format Version 11.00
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# Visual Studio 2010
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EndProject
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Global
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Debug|Win32 = Debug|Win32
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Release|Win32 = Release|Win32
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{E7E149AA-965F-4DBF-AE30-3D403FA464CA}.Debug|Win32.ActiveCfg = Debug|Win32
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{E7E149AA-965F-4DBF-AE30-3D403FA464CA}.Debug|Win32.Build.0 = Debug|Win32
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computer-hw2-1/computer-hw2-1.suo
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computer-hw2-1/computer-hw2-1/AMPLITUDE-PERIOD_2-1.dat
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computer-hw2-1/computer-hw2-1/AMPLITUDE-PERIOD_2-1.dat
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descriptor vx AMPLITUDE PERIOD
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computer-hw2-1/computer-hw2-1/Debug/BuildLog.htm
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||||
To('..')
|
||||
To('..')
|
||||
Add('grid', name='grid2', autoadd=False)
|
||||
To('grid2')
|
||||
Set('leftMargin', '10.654cm')
|
||||
Set('rightMargin', '0.834cm')
|
||||
Set('topMargin', '1.936cm')
|
||||
Set('bottomMargin', '1.129cm')
|
||||
Add('graph', name='graph1', autoadd=False)
|
||||
To('graph1')
|
||||
Add('axis', name='x', autoadd=False)
|
||||
To('x')
|
||||
Set('label', 'Amplitude')
|
||||
To('..')
|
||||
Add('axis', name='y', autoadd=False)
|
||||
To('y')
|
||||
Set('label', 'Period')
|
||||
Set('min', 3.0)
|
||||
Set('max', 3.336)
|
||||
Set('direction', 'vertical')
|
||||
To('..')
|
||||
Add('xy', name='xy1', autoadd=False)
|
||||
To('xy1')
|
||||
Set('marker', 'none')
|
||||
Set('xData', 'AMPLITUDE_21')
|
||||
Set('yData', 'PERIOD_21')
|
||||
Set('PlotLine/width', '2.5pt')
|
||||
To('..')
|
||||
To('..')
|
||||
To('..')
|
||||
To('..')
|
||||
Add('page', name='p2-2-xt-vt', autoadd=False)
|
||||
To('p2-2-xt-vt')
|
||||
Set('width', '14.174cm')
|
||||
Set('height', '14.28cm')
|
||||
Add('grid', name='grid1', autoadd=False)
|
||||
To('grid1')
|
||||
Set('leftMargin', '0.261cm')
|
||||
Set('rightMargin', '0.707cm')
|
||||
Set('topMargin', '0.708cm')
|
||||
Set('bottomMargin', '0.494cm')
|
||||
Add('graph', name='graph1', autoadd=False)
|
||||
To('graph1')
|
||||
Add('axis', name='x', autoadd=False)
|
||||
To('x')
|
||||
Set('label', 'time')
|
||||
Set('min', 0.0)
|
||||
Set('max', 63.0)
|
||||
To('..')
|
||||
Add('axis', name='y', autoadd=False)
|
||||
To('y')
|
||||
Set('label', '\\textit{x} or \\textit{v_x}')
|
||||
Set('min', -1.718)
|
||||
Set('max', 1.31)
|
||||
Set('direction', 'vertical')
|
||||
To('..')
|
||||
Add('xy', name='xy1', autoadd=False)
|
||||
To('xy1')
|
||||
Set('marker', 'none')
|
||||
Set('xData', 'time_2')
|
||||
Set('yData', 'x_2')
|
||||
Set('key', '\\textit{x(t)}')
|
||||
Set('PlotLine/width', '1.5pt')
|
||||
To('..')
|
||||
Add('xy', name='xy2', autoadd=False)
|
||||
To('xy2')
|
||||
Set('marker', 'none')
|
||||
Set('xData', 'time')
|
||||
Set('yData', 'vx_2')
|
||||
Set('key', '\\textit{v(t)}')
|
||||
Set('PlotLine/width', '1.5pt')
|
||||
To('..')
|
||||
Add('key', name='key1', autoadd=False)
|
||||
To('key1')
|
||||
Set('Border/hide', True)
|
||||
Set('horzPosn', 'right')
|
||||
Set('vertPosn', 'bottom')
|
||||
Set('horzManual', 0.0)
|
||||
Set('vertManual', 0.0)
|
||||
To('..')
|
||||
To('..')
|
||||
To('..')
|
||||
To('..')
|
||||
Add('page', name='p2-2-vx-A-T', autoadd=False)
|
||||
To('p2-2-vx-A-T')
|
||||
Set('width', '21.307cm')
|
||||
Set('height', '15.021cm')
|
||||
Add('grid', name='grid1', autoadd=False)
|
||||
To('grid1')
|
||||
Set('leftMargin', '0.418cm')
|
||||
Set('rightMargin', '11.557cm')
|
||||
Set('topMargin', '1.935cm')
|
||||
Set('bottomMargin', '1.32cm')
|
||||
Add('graph', name='graph1', autoadd=False)
|
||||
To('graph1')
|
||||
Add('axis', name='x', autoadd=False)
|
||||
To('x')
|
||||
Set('label', '\\textit{v_x}')
|
||||
To('..')
|
||||
Add('axis', name='y', autoadd=False)
|
||||
To('y')
|
||||
Set('label', 'Amplitude')
|
||||
Set('direction', 'vertical')
|
||||
To('..')
|
||||
Add('xy', name='xy1', autoadd=False)
|
||||
To('xy1')
|
||||
Set('marker', 'none')
|
||||
Set('xData', 'vx_22')
|
||||
Set('yData', 'AMPLITUDE_22')
|
||||
Set('PlotLine/width', '2.5pt')
|
||||
To('..')
|
||||
To('..')
|
||||
To('..')
|
||||
Add('grid', name='grid2', autoadd=False)
|
||||
To('grid2')
|
||||
Set('leftMargin', '10.654cm')
|
||||
Set('rightMargin', '0.834cm')
|
||||
Set('topMargin', '1.936cm')
|
||||
Set('bottomMargin', '1.129cm')
|
||||
Add('graph', name='graph1', autoadd=False)
|
||||
To('graph1')
|
||||
Add('axis', name='x', autoadd=False)
|
||||
To('x')
|
||||
Set('label', 'Amplitude')
|
||||
To('..')
|
||||
Add('axis', name='y', autoadd=False)
|
||||
To('y')
|
||||
Set('label', 'Period')
|
||||
Set('min', 'Auto')
|
||||
Set('max', 'Auto')
|
||||
Set('direction', 'vertical')
|
||||
To('..')
|
||||
Add('xy', name='xy1', autoadd=False)
|
||||
To('xy1')
|
||||
Set('marker', 'none')
|
||||
Set('xData', 'AMPLITUDE_22')
|
||||
Set('yData', 'PERIOD_22')
|
||||
Set('PlotLine/width', '2.5pt')
|
||||
To('..')
|
||||
To('..')
|
||||
To('..')
|
||||
To('..')
|
||||
BIN
computer-hw2-1/computer-hw2-1/computer-hw2-1.u2d
Normal file
BIN
computer-hw2-1/computer-hw2-1/computer-hw2-1.u2d
Normal file
Binary file not shown.
34
computer-hw2-1/computer-hw2-1/computer-hw2-1.vfproj
Normal file
34
computer-hw2-1/computer-hw2-1/computer-hw2-1.vfproj
Normal file
@ -0,0 +1,34 @@
|
||||
<?xml version="1.0" encoding="UTF-8"?>
|
||||
<VisualStudioProject ProjectCreator="Intel Fortran" Keyword="Console Application" Version="11.0" ProjectIdGuid="{E7E149AA-965F-4DBF-AE30-3D403FA464CA}">
|
||||
<Platforms>
|
||||
<Platform Name="Win32"/></Platforms>
|
||||
<Configurations>
|
||||
<Configuration Name="Debug|Win32">
|
||||
<Tool Name="VFFortranCompilerTool" SuppressStartupBanner="true" DebugInformationFormat="debugEnabled" Optimization="optimizeDisabled" WarnInterfaces="true" Traceback="true" BoundsCheck="true" RuntimeLibrary="rtMultiThreadedDebug"/>
|
||||
<Tool Name="VFLinkerTool" LinkIncremental="linkIncrementalNo" SuppressStartupBanner="true" GenerateDebugInformation="true" SubSystem="subSystemConsole"/>
|
||||
<Tool Name="VFResourceCompilerTool"/>
|
||||
<Tool Name="VFMidlTool" SuppressStartupBanner="true"/>
|
||||
<Tool Name="VFCustomBuildTool"/>
|
||||
<Tool Name="VFPreLinkEventTool"/>
|
||||
<Tool Name="VFPreBuildEventTool"/>
|
||||
<Tool Name="VFPostBuildEventTool"/>
|
||||
<Tool Name="VFManifestTool" SuppressStartupBanner="true"/></Configuration>
|
||||
<Configuration Name="Release|Win32">
|
||||
<Tool Name="VFFortranCompilerTool" SuppressStartupBanner="true"/>
|
||||
<Tool Name="VFLinkerTool" LinkIncremental="linkIncrementalNo" SuppressStartupBanner="true" SubSystem="subSystemConsole"/>
|
||||
<Tool Name="VFResourceCompilerTool"/>
|
||||
<Tool Name="VFMidlTool" SuppressStartupBanner="true"/>
|
||||
<Tool Name="VFCustomBuildTool"/>
|
||||
<Tool Name="VFPreLinkEventTool"/>
|
||||
<Tool Name="VFPreBuildEventTool"/>
|
||||
<Tool Name="VFPostBuildEventTool"/>
|
||||
<Tool Name="VFManifestTool" SuppressStartupBanner="true"/></Configuration></Configurations>
|
||||
<Files>
|
||||
<Filter Name="Header Files" Filter="fi;fd"/>
|
||||
<Filter Name="Resource Files" Filter="rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe"/>
|
||||
<Filter Name="Source Files" Filter="f90;for;f;fpp;ftn;def;odl;idl">
|
||||
<File RelativePath=".\INPUT.dat"/>
|
||||
<File RelativePath=".\main.f90"/>
|
||||
<File RelativePath=".\my_methods.f90"/>
|
||||
<File RelativePath=".\my_parameters.f90"/></Filter></Files>
|
||||
<Globals/></VisualStudioProject>
|
||||
155511
computer-hw2-1/computer-hw2-1/data_problem_2-1.dat
Normal file
155511
computer-hw2-1/computer-hw2-1/data_problem_2-1.dat
Normal file
File diff suppressed because it is too large
Load Diff
154352
computer-hw2-1/computer-hw2-1/data_problem_2-2.dat
Normal file
154352
computer-hw2-1/computer-hw2-1/data_problem_2-2.dat
Normal file
File diff suppressed because it is too large
Load Diff
9
computer-hw2-1/computer-hw2-1/main.f90
Normal file
9
computer-hw2-1/computer-hw2-1/main.f90
Normal file
@ -0,0 +1,9 @@
|
||||
PROGRAM MAIN
|
||||
USE MY_METHODS
|
||||
IMPLICIT NONE
|
||||
|
||||
CALL GET_PROBLEM_21
|
||||
|
||||
PRINT*, "-----"
|
||||
|
||||
END PROGRAM
|
||||
228
computer-hw2-1/computer-hw2-1/my_methods.f90
Normal file
228
computer-hw2-1/computer-hw2-1/my_methods.f90
Normal file
@ -0,0 +1,228 @@
|
||||
MODULE MY_METHODS
|
||||
|
||||
IMPLICIT NONE
|
||||
|
||||
CONTAINS
|
||||
|
||||
!4th RUNGE-KUTTA Method
|
||||
SUBROUTINE RUNGE(NEQ,X,Y,H)
|
||||
INTEGER :: NEQ, I
|
||||
REAL*8 :: X, H
|
||||
REAL*8 :: Y(NEQ),DELTAY1(NEQ),DELTAY2(NEQ),DELTAY3(NEQ),&
|
||||
DELTAY4(NEQ),Z(NEQ)
|
||||
|
||||
!FIRST STEP
|
||||
DO I = 1, NEQ
|
||||
Z(I) = Y(I)
|
||||
END DO
|
||||
CALL FUNC_RK(NEQ,X,Z,DELTAY1,H)
|
||||
|
||||
!SECOND STEP
|
||||
DO I = 1, NEQ
|
||||
Z(I) = Y(I) + DELTAY1(I) / 2.
|
||||
END DO
|
||||
X = X + H / 2.
|
||||
CALL FUNC_RK(NEQ,X,Z,DELTAY2,H)
|
||||
|
||||
!THIRD STEP
|
||||
DO I = 1, NEQ
|
||||
Z(I) = Y(I) + DELTAY2(I) / 2.
|
||||
END DO
|
||||
CALL FUNC_RK(NEQ,X,Z,DELTAY3,H)
|
||||
|
||||
!FOURTH STEP
|
||||
DO I = 1, NEQ
|
||||
Z(I) = Y(I) + DELTAY3(I)
|
||||
END DO
|
||||
X = X + H / 2.
|
||||
CALL FUNC_RK(NEQ,X,Z,DELTAY4,H)
|
||||
|
||||
!SUMMARY
|
||||
DO I = 1, NEQ
|
||||
Y(I) = Y(I) + (DELTAY1(I) + 2D0*DELTAY2(I) + 2D0*DELTAY3(I) + &
|
||||
DELTAY4(I)) / 6D0
|
||||
END DO
|
||||
|
||||
RETURN
|
||||
|
||||
END SUBROUTINE RUNGE
|
||||
|
||||
SUBROUTINE FUNC_RK(NEQ,X,Y,DELTAY,H)
|
||||
|
||||
USE MY_PARAMETERS, ONLY: OMEGA, ALPHA
|
||||
|
||||
INTEGER :: NEQ
|
||||
REAL*8 :: X, H
|
||||
REAL*8 :: Y(NEQ),DELTAY(NEQ)
|
||||
|
||||
DELTAY(1) = (Y(2)) * H
|
||||
DELTAY(2) = (-OMEGA**2 * Y(1)**ALPHA) * H
|
||||
|
||||
END SUBROUTINE
|
||||
|
||||
SUBROUTINE GET_INPUT
|
||||
USE MY_PARAMETERS
|
||||
IMPLICIT NONE
|
||||
|
||||
CHARACTER (77) :: BUF
|
||||
LOGICAL exist
|
||||
|
||||
INQUIRE(FILE="INPUT.dat", EXIST=exist)
|
||||
OPEN(9, FILE="INPUT.dat")
|
||||
IF(exist) THEN
|
||||
READ (9, '(A77)') buf !--# Initial conditions --
|
||||
READ (9, '(A77)') buf !--dddddd.ddd- INITIAL X ----
|
||||
READ (9, '(2x,f10.3)') X0
|
||||
READ (9, '(A77)') buf !--dddddd.ddd- INITIAL VX ----
|
||||
READ (9, '(2x,f10.3)') VX0
|
||||
|
||||
READ (9, '(A77)') buf !--# Other settings --
|
||||
READ (9, '(A77)') buf !--#d.dddE#dd-- DT(TIME STEP) ----
|
||||
READ (9, '(2x,e10.3)') DT
|
||||
READ (9, '(A77)') buf !--dddddd.ddd- ALPHA ----
|
||||
READ (9, '(2x,f10.3)') ALPHA
|
||||
|
||||
ELSE
|
||||
PRINT*, "Input file NOT FOUND! Defaulted values used."
|
||||
! # Initial conditions ---
|
||||
X0 = 0D0
|
||||
VX0 = 1D0
|
||||
|
||||
! # Other settings ---
|
||||
DT = 1D-3
|
||||
ALPHA = 1D0
|
||||
|
||||
END IF
|
||||
|
||||
RETURN
|
||||
END SUBROUTINE
|
||||
|
||||
SUBROUTINE GET_PROBLEM_21
|
||||
USE MY_PARAMETERS
|
||||
IMPLICIT NONE
|
||||
|
||||
REAL*8 :: TIME, Y(2)
|
||||
INTEGER :: NEQ
|
||||
|
||||
! to calculate the period
|
||||
INTEGER, PARAMETER :: MAX_PERIODS = 50
|
||||
REAL*8 :: TIME_OLD, VX_OLD
|
||||
REAL*8 :: PERIOD(MAX_PERIODS), LOOP(MAX_PERIODS-1)
|
||||
INTEGER :: INDEX_PERIOD, I
|
||||
|
||||
REAL*8 :: PERIOD_AVERAGE
|
||||
|
||||
! to calculate the amplitude
|
||||
REAL*8 :: X_MAX, X_MIN, AMPLITUDE
|
||||
|
||||
|
||||
NEQ = 2
|
||||
|
||||
CALL GET_INPUT
|
||||
|
||||
Y(1) = X0
|
||||
Y(2) = VX0
|
||||
TIME = 0D0
|
||||
INDEX_PERIOD = 0
|
||||
|
||||
OPEN(UNIT=91, FILE="data_problem_2-2.dat")
|
||||
WRITE(91, 100) "descriptor","time","x","vx"
|
||||
WRITE(91,200) " ",TIME,Y(1),Y(2)
|
||||
|
||||
DO WHILE (INDEX_PERIOD .LT. MAX_PERIODS)
|
||||
! TO CALCULATE PERIOD
|
||||
VX_OLD = Y(2)
|
||||
TIME_OLD = TIME
|
||||
|
||||
CALL RUNGE(NEQ,TIME,Y,DT)
|
||||
|
||||
WRITE(91,200) " ",TIME,Y(1),Y(2)
|
||||
|
||||
! TO CALCULATE PERIOD
|
||||
IF (Y(2)*VX_OLD .LT. 0) THEN
|
||||
INDEX_PERIOD = INDEX_PERIOD + 1
|
||||
! to get the time when the speed get zero
|
||||
PERIOD(INDEX_PERIOD) = TIME_OLD - &
|
||||
VX_OLD * (TIME - TIME_OLD)/(Y(2)-VX_OLD)
|
||||
IF (INDEX_PERIOD .GT. 1) THEN
|
||||
LOOP(INDEX_PERIOD - 1) = PERIOD(INDEX_PERIOD) - &
|
||||
PERIOD(INDEX_PERIOD - 1)
|
||||
END IF
|
||||
END IF
|
||||
|
||||
END DO
|
||||
|
||||
CLOSE(91)
|
||||
|
||||
PERIOD_AVERAGE = SUM(LOOP) / SIZE(LOOP)
|
||||
|
||||
PRINT*, PERIOD_AVERAGE
|
||||
|
||||
! change vx0, and see the change of the period
|
||||
OPEN(UNIT=92, FILE="AMPLITUDE-PERIOD_2-2.dat")
|
||||
WRITE(92,100) "descriptor","vx","AMPLITUDE","PERIOD"
|
||||
|
||||
DO I=1,100
|
||||
Y(1) = X0
|
||||
Y(2) = VX0+I/1D1
|
||||
TIME = 0D0
|
||||
INDEX_PERIOD = 0
|
||||
X_MAX = X0
|
||||
X_MIN = X0
|
||||
|
||||
|
||||
DO WHILE (INDEX_PERIOD .LT. MAX_PERIODS)
|
||||
! TO CALCULATE PERIOD
|
||||
VX_OLD = Y(2)
|
||||
TIME_OLD = TIME
|
||||
|
||||
! TO CALCULATE AMPLITUDE
|
||||
IF (Y(1) .GT. X_MAX) THEN
|
||||
X_MAX = Y(1)
|
||||
END IF
|
||||
IF (Y(1) .LT. X_MIN) THEN
|
||||
X_MIN = Y(1)
|
||||
END IF
|
||||
|
||||
|
||||
CALL RUNGE(NEQ,TIME,Y,DT)
|
||||
|
||||
WRITE(91,200) " ",TIME,Y(1),Y(2)
|
||||
|
||||
! TO CALCULATE PERIOD
|
||||
IF (Y(2)*VX_OLD .LT. 0) THEN
|
||||
INDEX_PERIOD = INDEX_PERIOD + 1
|
||||
! to get the time when the speed gets zero
|
||||
PERIOD(INDEX_PERIOD) = TIME_OLD - &
|
||||
VX_OLD * (TIME - TIME_OLD)/(Y(2)-VX_OLD)
|
||||
IF (INDEX_PERIOD .GT. 1) THEN
|
||||
LOOP(INDEX_PERIOD - 1) = PERIOD(INDEX_PERIOD) - &
|
||||
PERIOD(INDEX_PERIOD - 1)
|
||||
END IF
|
||||
END IF
|
||||
|
||||
END DO
|
||||
|
||||
|
||||
PERIOD_AVERAGE = SUM(LOOP) / SIZE(LOOP)
|
||||
|
||||
AMPLITUDE = X_MAX - X_MIN
|
||||
|
||||
WRITE(*,'("A = ",F12.6, ", T = ",F12.6)') &
|
||||
AMPLITUDE, PERIOD_AVERAGE
|
||||
|
||||
WRITE(92,200) " ",VX0+I/1D1,AMPLITUDE,PERIOD_AVERAGE
|
||||
END DO
|
||||
|
||||
CLOSE(92)
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
! FORMATS
|
||||
100 FORMAT(4(A12,2x))
|
||||
200 FORMAT(A12, 2x, 3(F12.6,2x))
|
||||
END SUBROUTINE
|
||||
|
||||
END MODULE
|
||||
13
computer-hw2-1/computer-hw2-1/my_parameters.f90
Normal file
13
computer-hw2-1/computer-hw2-1/my_parameters.f90
Normal file
@ -0,0 +1,13 @@
|
||||
MODULE MY_PARAMETERS
|
||||
|
||||
IMPLICIT NONE
|
||||
|
||||
REAL*8, PARAMETER :: OMEGA = 1D0
|
||||
|
||||
REAL*8 :: X0,VX0
|
||||
REAL*8 :: DT
|
||||
|
||||
REAL*8 :: ALPHA
|
||||
|
||||
|
||||
END MODULE
|
||||
20
computer-hw2-2/computer-hw2-2.sln
Normal file
20
computer-hw2-2/computer-hw2-2.sln
Normal file
@ -0,0 +1,20 @@
|
||||
|
||||
Microsoft Visual Studio Solution File, Format Version 11.00
|
||||
# Visual Studio 2010
|
||||
Project("{6989167D-11E4-40FE-8C1A-2192A86A7E90}") = "computer-hw2-2", "computer-hw2-2\computer-hw2-2.vfproj", "{D0785D61-C7AE-4628-95B8-6810AFCC8157}"
|
||||
EndProject
|
||||
Global
|
||||
GlobalSection(SolutionConfigurationPlatforms) = preSolution
|
||||
Debug|Win32 = Debug|Win32
|
||||
Release|Win32 = Release|Win32
|
||||
EndGlobalSection
|
||||
GlobalSection(ProjectConfigurationPlatforms) = postSolution
|
||||
{D0785D61-C7AE-4628-95B8-6810AFCC8157}.Debug|Win32.ActiveCfg = Debug|Win32
|
||||
{D0785D61-C7AE-4628-95B8-6810AFCC8157}.Debug|Win32.Build.0 = Debug|Win32
|
||||
{D0785D61-C7AE-4628-95B8-6810AFCC8157}.Release|Win32.ActiveCfg = Release|Win32
|
||||
{D0785D61-C7AE-4628-95B8-6810AFCC8157}.Release|Win32.Build.0 = Release|Win32
|
||||
EndGlobalSection
|
||||
GlobalSection(SolutionProperties) = preSolution
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||||
HideSolutionNode = FALSE
|
||||
EndGlobalSection
|
||||
EndGlobal
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||||
BIN
computer-hw2-2/computer-hw2-2.suo
Normal file
BIN
computer-hw2-2/computer-hw2-2.suo
Normal file
Binary file not shown.
101
computer-hw2-2/computer-hw2-2/AMPLITUDE-PERIOD_22-2.dat
Normal file
101
computer-hw2-2/computer-hw2-2/AMPLITUDE-PERIOD_22-2.dat
Normal file
@ -0,0 +1,101 @@
|
||||
descriptor vx AMPLITUDE PERIOD
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1.100000 1.890373 3.145527
|
||||
1.200000 2.062225 3.145527
|
||||
1.300000 2.234077 3.145527
|
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1.400000 2.405929 3.145527
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1.500000 2.577781 3.145527
|
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1.600000 2.749633 3.145527
|
||||
1.700000 2.921485 3.145527
|
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1.800000 3.093337 3.145527
|
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1.900000 3.265189 3.145527
|
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2.000000 3.437041 3.145527
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2.100000 3.608893 3.145527
|
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2.200000 3.780745 3.145527
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2.300000 3.952597 3.145527
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2.400000 4.124449 3.145527
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2.500000 4.296301 3.145527
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2.600000 4.468153 3.145527
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2.700000 4.640005 3.145527
|
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2.800000 4.811857 3.145527
|
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2.900000 4.983710 3.145527
|
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3.000000 5.155562 3.145527
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3.100000 5.327414 3.145527
|
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3.200000 5.499266 3.145527
|
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3.300000 5.671118 3.145527
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3.400000 5.842970 3.145527
|
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3.500000 6.014822 3.145527
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3.600000 6.186674 3.145527
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3.700000 6.358526 3.145527
|
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3.800000 6.530378 3.145527
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3.900000 6.702230 3.145527
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4.000000 6.874082 3.145527
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4.100000 7.045934 3.145527
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4.200000 7.217786 3.145527
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4.300000 7.389638 3.145527
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4.400000 7.561490 3.145527
|
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4.500000 7.733342 3.145527
|
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4.600000 7.905194 3.145527
|
||||
4.700000 8.077047 3.145527
|
||||
4.800000 8.248899 3.145527
|
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4.900000 8.420751 3.145527
|
||||
5.000000 8.592603 3.145527
|
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5.100000 8.764455 3.145527
|
||||
5.200000 8.936307 3.145527
|
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5.300000 9.108159 3.145527
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5.400000 9.280011 3.145527
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5.500000 9.451863 3.145527
|
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5.600000 9.623715 3.145527
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5.700000 9.795567 3.145527
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5.800000 9.967419 3.145527
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5.900000 10.139271 3.145527
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6.000000 10.311123 3.145527
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6.100000 10.482975 3.145527
|
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6.200000 10.654827 3.145527
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6.300000 10.826679 3.145527
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||||
6.400000 10.998531 3.145527
|
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6.500000 11.170383 3.145527
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6.600000 11.342236 3.145527
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6.700000 11.514088 3.145527
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6.800000 11.685940 3.145527
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6.900000 11.857792 3.145527
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7.000000 12.029644 3.145527
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7.100000 12.201496 3.145527
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7.200000 12.373348 3.145527
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7.300000 12.545200 3.145527
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7.400000 12.717052 3.145527
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7.500000 12.888904 3.145527
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7.900000 13.576312 3.145527
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8.000000 13.748164 3.145527
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8.100000 13.920016 3.145527
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8.200000 14.091868 3.145527
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8.300000 14.263720 3.145527
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8.400000 14.435572 3.145527
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8.500000 14.607425 3.145527
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8.600000 14.779277 3.145527
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8.700000 14.951129 3.145527
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8.800000 15.122981 3.145527
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8.900000 15.294833 3.145527
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9.000000 15.466685 3.145527
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9.100000 15.638537 3.145527
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9.200000 15.810389 3.145527
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9.300000 15.982241 3.145527
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9.400000 16.154093 3.145527
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9.500000 16.325945 3.145527
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9.600000 16.497797 3.145527
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9.700000 16.669649 3.145527
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9.800000 16.841501 3.145527
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9.900000 17.013353 3.145527
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10.000000 17.185205 3.145527
|
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10.100000 17.357057 3.145527
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10.200000 17.528909 3.145527
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10.300000 17.700762 3.145527
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10.400000 17.872614 3.145527
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10.500000 18.044466 3.145527
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10.600000 18.216318 3.145527
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10.700000 18.388170 3.145527
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10.800000 18.560022 3.145527
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10.900000 18.731874 3.145527
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11.000000 18.903726 3.145527
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BIN
computer-hw2-2/computer-hw2-2/Debug/BuildLog.htm
Normal file
BIN
computer-hw2-2/computer-hw2-2/Debug/BuildLog.htm
Normal file
Binary file not shown.
@ -0,0 +1,10 @@
|
||||
<?xml version='1.0' encoding='UTF-8' standalone='yes'?>
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||||
<assembly xmlns='urn:schemas-microsoft-com:asm.v1' manifestVersion='1.0'>
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<trustInfo xmlns="urn:schemas-microsoft-com:asm.v3">
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<security>
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<requestedPrivileges>
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<requestedExecutionLevel level='asInvoker' uiAccess='false' />
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</requestedPrivileges>
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||||
</security>
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||||
</trustInfo>
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</assembly>
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||||
BIN
computer-hw2-2/computer-hw2-2/Debug/computer-hw2-2.pdb
Normal file
BIN
computer-hw2-2/computer-hw2-2/Debug/computer-hw2-2.pdb
Normal file
Binary file not shown.
BIN
computer-hw2-2/computer-hw2-2/Debug/vc100.pdb
Normal file
BIN
computer-hw2-2/computer-hw2-2/Debug/vc100.pdb
Normal file
Binary file not shown.
16
computer-hw2-2/computer-hw2-2/INPUT.dat
Normal file
16
computer-hw2-2/computer-hw2-2/INPUT.dat
Normal file
@ -0,0 +1,16 @@
|
||||
--# Initial conditions --
|
||||
--dddddd.ddd- INITIAL X -----------------------
|
||||
0.0
|
||||
--dddddd.ddd- INITIAL VX ----------------------
|
||||
1.0
|
||||
--# Other settings --
|
||||
--#d.dddE#dd-- DT(TIME STEP) ------------------
|
||||
1.0E-3
|
||||
--dddddd.ddd- ALPHA ----------------------
|
||||
3.0
|
||||
--dddddd.ddd- GAMMA ----------------------
|
||||
0.1
|
||||
--dddddd.ddd- H (FORCE) ------------------
|
||||
1.0
|
||||
--dddddd.ddd- OMEGA (FORCE) --------------
|
||||
1.0
|
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@ -0,0 +1,151 @@
|
||||
descriptor OMEGA AMPLITUDE
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0.510000 3.305108
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||||
0.520000 3.336526
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0.530000 3.341346
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0.540000 3.251872
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0.550000 3.274194
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0.560000 3.184650
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0.570000 3.228674
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0.580000 3.353603
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0.590000 3.362552
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0.600000 3.310125
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0.610000 3.313259
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0.620000 3.323300
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0.630000 3.352510
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0.640000 3.350216
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0.650000 3.377983
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0.660000 3.396924
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0.670000 3.413946
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0.680000 3.366656
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0.690000 3.322554
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0.700000 3.333375
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0.710000 3.343784
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0.720000 3.353791
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0.730000 3.364704
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0.740000 3.399799
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0.750000 3.420074
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0.760000 3.416064
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0.770000 3.398094
|
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0.780000 3.405861
|
||||
0.790000 3.440897
|
||||
0.800000 3.493484
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0.810000 3.544634
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0.820000 3.592710
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0.830000 3.635622
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0.840000 3.670746
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0.850000 3.695027
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0.860000 3.705443
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0.870000 3.699733
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0.880000 3.677786
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0.890000 3.642866
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0.900000 3.604978
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0.910000 3.573215
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0.920000 3.552358
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0.930000 3.564774
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0.940000 3.594691
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0.950000 3.623527
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0.960000 3.651314
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0.970000 3.678080
|
||||
0.980000 3.703850
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0.990000 3.728646
|
||||
1.000000 3.752491
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1.010000 3.775400
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||||
1.020000 3.797392
|
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1.030000 3.818483
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1.040000 3.838685
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1.050000 3.858009
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1.060000 3.876471
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1.070000 3.894078
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1.080000 3.910839
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1.090000 3.926762
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1.100000 3.941854
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1.110000 3.956124
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1.120000 3.969574
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1.130000 3.982209
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1.140000 3.994036
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1.150000 4.005056
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1.160000 4.015271
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1.170000 4.024686
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1.180000 4.033300
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1.190000 4.042319
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1.200000 4.052543
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1.210000 4.079429
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1.220000 4.111731
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1.230000 4.142599
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1.240000 4.172030
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1.250000 4.200021
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1.260000 4.226561
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1.270000 4.251644
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1.280000 4.275254
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1.290000 4.297377
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1.300000 4.317997
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1.310000 4.337096
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1.320000 4.354647
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1.330000 4.370629
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1.340000 4.385017
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1.350000 4.397776
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1.360000 4.408877
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1.370000 4.418283
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1.380000 4.425956
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1.390000 4.455094
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1.400000 4.489389
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1.410000 4.521289
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1.420000 4.550697
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1.430000 4.577499
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1.440000 4.601571
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1.450000 4.622779
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1.460000 4.640964
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1.470000 4.655959
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1.480000 4.667572
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1.490000 4.675590
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1.590000 4.911870
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1.630000 4.997062
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1.640000 5.002942
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1.650000 5.034784
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1.660000 5.033803
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1.670000 5.075859
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1.680000 3.447818
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1.690000 3.316096
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1.720000 3.137806
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1.730000 3.087113
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1.740000 3.034485
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1.760000 2.925641
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1.770000 2.929076
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1.780000 2.917472
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1.790000 2.879450
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1.850000 2.782574
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1.860000 2.765875
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1.870000 2.749026
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1.880000 2.732029
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1.890000 2.723076
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1.900000 2.732507
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1.910000 2.719822
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1.920000 2.681927
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1.930000 2.652420
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1.940000 2.627199
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1.950000 2.609296
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1.960000 2.591286
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1.970000 2.573174
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1.980000 2.554968
|
||||
1.990000 2.536676
|
||||
2.000000 2.518306
|
||||
@ -0,0 +1,101 @@
|
||||
descriptor OMEGA AMPLITUDE
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0.100000 2.825449
|
||||
0.200000 3.055030
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0.300000 3.141017
|
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0.400000 3.278995
|
||||
0.500000 3.292963
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0.600000 3.310125
|
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0.700000 3.333375
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0.800000 3.493484
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0.900000 3.604978
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1.000000 3.752491
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1.100000 3.941854
|
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1.200000 4.052543
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1.300000 4.317997
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1.400000 4.489389
|
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1.500000 4.684178
|
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1.600000 4.935846
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1.700000 3.233659
|
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1.800000 2.863713
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1.900000 2.732507
|
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2.000000 2.518306
|
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2.100000 2.333192
|
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2.200000 2.299223
|
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2.300000 2.426793
|
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2.400000 2.458688
|
||||
2.500000 2.415765
|
||||
2.600000 2.322769
|
||||
2.700000 2.206070
|
||||
2.800000 2.087607
|
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2.900000 1.981122
|
||||
3.000000 2.012777
|
||||
3.100000 2.067932
|
||||
3.200000 2.102075
|
||||
3.300000 2.122883
|
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3.400000 2.134345
|
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3.500000 2.138514
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3.600000 2.136506
|
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3.700000 2.129055
|
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3.800000 2.116860
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3.900000 2.100855
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|
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|
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|
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|
||||
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|
||||
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|
||||
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|
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5.000000 2.202693
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5.100000 2.202844
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5.200000 2.197047
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5.300000 2.186287
|
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5.400000 2.171670
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5.500000 2.154557
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5.600000 2.137239
|
||||
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5.800000 2.161239
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5.900000 2.175302
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6.000000 2.184881
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6.200000 2.190651
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6.300000 2.187422
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6.600000 2.158709
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|
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7.300000 2.148779
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7.500000 2.145860
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7.600000 2.141011
|
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7.700000 2.134292
|
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7.800000 2.126120
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7.900000 2.117079
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8.000000 2.108152
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8.100000 2.101597
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8.200000 2.110601
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8.300000 2.120664
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8.500000 2.136740
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8.700000 2.145271
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8.800000 2.146629
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8.900000 2.146178
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9.000000 2.144092
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9.100000 2.140618
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9.200000 2.136133
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9.300000 2.131408
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9.500000 2.140157
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9.600000 2.145981
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9.700000 2.150430
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9.800000 2.153354
|
||||
9.900000 2.154726
|
||||
10.000000 2.154583
|
||||
@ -0,0 +1,41 @@
|
||||
descriptor OMEGA AMPLITUDE
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||||
0.905000 12.085499
|
||||
0.910000 12.422363
|
||||
0.915000 12.740557
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||||
0.920000 13.099505
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0.925000 13.457396
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0.930000 13.859707
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0.935000 14.270755
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0.940000 14.704798
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0.945000 15.167957
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0.950000 15.660081
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0.960000 16.714228
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0.965000 17.273636
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0.970000 17.845065
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0.975000 18.415615
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0.980000 18.961048
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0.985000 19.442496
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0.990000 19.804405
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0.995000 19.993648
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1.000000 19.991937
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1.005000 19.797459
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1.010000 19.422543
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1.015000 18.902529
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1.020000 18.299116
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1.025000 17.659022
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1.030000 17.014179
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1.035000 16.381118
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1.040000 15.770871
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1.045000 15.186660
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1.050000 14.634482
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1.055000 14.110685
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1.060000 13.615959
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1.065000 13.146414
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1.070000 12.702318
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1.075000 12.294442
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1.080000 11.890654
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1.085000 11.532959
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1.090000 11.167810
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1.095000 10.851848
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1.100000 10.535632
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||||
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||||
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||||
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||||
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||||
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|
||||
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|
||||
ImportFile('../../../../Visual Studio 2010/Projects/computer-hw2-2/computer-hw2-2/data_problem_22.dat', '', ignoretext=True, linked=True)
|
||||
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To('xy1')
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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|
||||
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||||
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||||
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||||
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||||
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||||
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||||
To('..')
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||||
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||||
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|
||||
Set('marker', 'none')
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||||
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||||
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||||
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||||
To('..')
|
||||
To('..')
|
||||
To('..')
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||||
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||||
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||||
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||||
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||||
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||||
To('graph1')
|
||||
Add('axis', name='x', autoadd=False)
|
||||
To('x')
|
||||
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||||
To('..')
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||||
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|
||||
To('y')
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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|
||||
Set('marker', 'none')
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||||
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||||
Set('yData', 'PERIOD_21')
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||||
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||||
To('..')
|
||||
To('..')
|
||||
To('..')
|
||||
To('..')
|
||||
Add('page', name='p2-2-xt-vt-FORCE-ALPHA1', autoadd=False)
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||||
To('p2-2-xt-vt-FORCE-ALPHA1')
|
||||
Set('width', '14.174cm')
|
||||
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|
||||
Add('grid', name='grid1', autoadd=False)
|
||||
To('grid1')
|
||||
Set('leftMargin', '0.261cm')
|
||||
Set('rightMargin', '0.707cm')
|
||||
Set('topMargin', '0.708cm')
|
||||
Set('bottomMargin', '0.494cm')
|
||||
Add('graph', name='graph1', autoadd=False)
|
||||
To('graph1')
|
||||
Add('axis', name='x', autoadd=False)
|
||||
To('x')
|
||||
Set('label', 'time')
|
||||
Set('min', -2.220446049250313e-16)
|
||||
Set('max', 166.7)
|
||||
To('..')
|
||||
Add('axis', name='y', autoadd=False)
|
||||
To('y')
|
||||
Set('label', '\\textit{x} or \\textit{v_x}')
|
||||
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|
||||
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|
||||
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|
||||
To('..')
|
||||
Add('xy', name='xy1', autoadd=False)
|
||||
To('xy1')
|
||||
Set('marker', 'none')
|
||||
Set('xData', 'time_WITH_FORCE')
|
||||
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|
||||
Set('key', '\\textit{x(t)}')
|
||||
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|
||||
To('..')
|
||||
Add('xy', name='xy2', autoadd=False)
|
||||
To('xy2')
|
||||
Set('marker', 'none')
|
||||
Set('xData', 'time_WITH_FORCE')
|
||||
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|
||||
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|
||||
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||||
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|
||||
To('..')
|
||||
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|
||||
To('key1')
|
||||
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|
||||
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||||
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||||
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|
||||
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||||
To('..')
|
||||
To('..')
|
||||
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|
||||
To('..')
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||||
Add('page', name='P2-2-OMEGA-A-FORCE-ALPHA1-rough-fine', autoadd=False)
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||||
To('P2-2-OMEGA-A-FORCE-ALPHA1-rough-fine')
|
||||
Set('width', '14.174cm')
|
||||
Set('height', '14.28cm')
|
||||
Add('grid', name='grid1', autoadd=False)
|
||||
To('grid1')
|
||||
Set('leftMargin', '0.261cm')
|
||||
Set('rightMargin', '0.707cm')
|
||||
Set('topMargin', '0.708cm')
|
||||
Set('bottomMargin', '0.494cm')
|
||||
Add('graph', name='graph1', autoadd=False)
|
||||
To('graph1')
|
||||
Add('axis', name='x', autoadd=False)
|
||||
To('x')
|
||||
Set('label', '\\textit{\\omega}')
|
||||
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|
||||
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|
||||
To('..')
|
||||
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|
||||
To('y')
|
||||
Set('label', 'Amplitude')
|
||||
Set('min', 10.0)
|
||||
Set('max', 20.17)
|
||||
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|
||||
To('..')
|
||||
Add('xy', name='xy1', autoadd=False)
|
||||
To('xy1')
|
||||
Set('marker', 'none')
|
||||
Set('xData', 'OMEGA_ALPHA1')
|
||||
Set('yData', 'AMPLITUDE_ALPHA1')
|
||||
Set('key', '\\textit{x(t)}')
|
||||
Set('PlotLine/width', '1.5pt')
|
||||
To('..')
|
||||
To('..')
|
||||
To('..')
|
||||
To('..')
|
||||
Add('page', name='p2-2-omega-A-alpha3-rough', autoadd=False)
|
||||
To('p2-2-omega-A-alpha3-rough')
|
||||
Set('width', '14.174cm')
|
||||
Set('height', '14.28cm')
|
||||
Add('grid', name='grid1', autoadd=False)
|
||||
To('grid1')
|
||||
Set('leftMargin', '0.261cm')
|
||||
Set('rightMargin', '0.707cm')
|
||||
Set('topMargin', '0.708cm')
|
||||
Set('bottomMargin', '0.494cm')
|
||||
Add('graph', name='graph1', autoadd=False)
|
||||
To('graph1')
|
||||
Add('axis', name='x', autoadd=False)
|
||||
To('x')
|
||||
Set('label', '\\textit{\\omega}')
|
||||
Set('min', 'Auto')
|
||||
Set('max', 'Auto')
|
||||
To('..')
|
||||
Add('axis', name='y', autoadd=False)
|
||||
To('y')
|
||||
Set('label', 'Amplitude')
|
||||
Set('min', 'Auto')
|
||||
Set('max', 'Auto')
|
||||
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|
||||
To('..')
|
||||
Add('xy', name='xy1', autoadd=False)
|
||||
To('xy1')
|
||||
Set('marker', 'none')
|
||||
Set('xData', 'OMEGA_ALPHA3_rough')
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||||
Set('yData', 'AMPLITUDE_ALPHA3_rough')
|
||||
Set('key', '\\textit{x(t)}')
|
||||
Set('PlotLine/width', '1.5pt')
|
||||
To('..')
|
||||
To('..')
|
||||
To('..')
|
||||
To('..')
|
||||
Add('page', name='p2-2-omega-A-alpha3-fine', autoadd=False)
|
||||
To('p2-2-omega-A-alpha3-fine')
|
||||
Set('width', '14.174cm')
|
||||
Set('height', '14.28cm')
|
||||
Add('grid', name='grid1', autoadd=False)
|
||||
To('grid1')
|
||||
Set('leftMargin', '0.261cm')
|
||||
Set('rightMargin', '0.707cm')
|
||||
Set('topMargin', '0.708cm')
|
||||
Set('bottomMargin', '0.494cm')
|
||||
Add('graph', name='graph1', autoadd=False)
|
||||
To('graph1')
|
||||
Add('axis', name='x', autoadd=False)
|
||||
To('x')
|
||||
Set('label', '\\textit{\\omega}')
|
||||
Set('min', 'Auto')
|
||||
Set('max', 'Auto')
|
||||
To('..')
|
||||
Add('axis', name='y', autoadd=False)
|
||||
To('y')
|
||||
Set('label', 'Amplitude')
|
||||
Set('min', 2.5)
|
||||
Set('max', 5.14)
|
||||
Set('direction', 'vertical')
|
||||
To('..')
|
||||
Add('xy', name='xy1', autoadd=False)
|
||||
To('xy1')
|
||||
Set('marker', 'none')
|
||||
Set('xData', 'OMEGA_ALPHA3_fine')
|
||||
Set('yData', 'AMPLITUDE_ALPHA3_fine')
|
||||
Set('key', '\\textit{x(t)}')
|
||||
Set('PlotLine/width', '1.5pt')
|
||||
To('..')
|
||||
To('..')
|
||||
To('..')
|
||||
To('..')
|
||||
BIN
computer-hw2-2/computer-hw2-2/computer-hw2-2.u2d
Normal file
BIN
computer-hw2-2/computer-hw2-2/computer-hw2-2.u2d
Normal file
Binary file not shown.
34
computer-hw2-2/computer-hw2-2/computer-hw2-2.vfproj
Normal file
34
computer-hw2-2/computer-hw2-2/computer-hw2-2.vfproj
Normal file
@ -0,0 +1,34 @@
|
||||
<?xml version="1.0" encoding="UTF-8"?>
|
||||
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|
||||
<Platforms>
|
||||
<Platform Name="Win32"/></Platforms>
|
||||
<Configurations>
|
||||
<Configuration Name="Debug|Win32">
|
||||
<Tool Name="VFFortranCompilerTool" SuppressStartupBanner="true" DebugInformationFormat="debugEnabled" Optimization="optimizeDisabled" WarnInterfaces="true" Traceback="true" BoundsCheck="true" RuntimeLibrary="rtMultiThreadedDebug"/>
|
||||
<Tool Name="VFLinkerTool" LinkIncremental="linkIncrementalNo" SuppressStartupBanner="true" GenerateDebugInformation="true" SubSystem="subSystemConsole"/>
|
||||
<Tool Name="VFResourceCompilerTool"/>
|
||||
<Tool Name="VFMidlTool" SuppressStartupBanner="true"/>
|
||||
<Tool Name="VFCustomBuildTool"/>
|
||||
<Tool Name="VFPreLinkEventTool"/>
|
||||
<Tool Name="VFPreBuildEventTool"/>
|
||||
<Tool Name="VFPostBuildEventTool"/>
|
||||
<Tool Name="VFManifestTool" SuppressStartupBanner="true"/></Configuration>
|
||||
<Configuration Name="Release|Win32">
|
||||
<Tool Name="VFFortranCompilerTool" SuppressStartupBanner="true"/>
|
||||
<Tool Name="VFLinkerTool" LinkIncremental="linkIncrementalNo" SuppressStartupBanner="true" SubSystem="subSystemConsole"/>
|
||||
<Tool Name="VFResourceCompilerTool"/>
|
||||
<Tool Name="VFMidlTool" SuppressStartupBanner="true"/>
|
||||
<Tool Name="VFCustomBuildTool"/>
|
||||
<Tool Name="VFPreLinkEventTool"/>
|
||||
<Tool Name="VFPreBuildEventTool"/>
|
||||
<Tool Name="VFPostBuildEventTool"/>
|
||||
<Tool Name="VFManifestTool" SuppressStartupBanner="true"/></Configuration></Configurations>
|
||||
<Files>
|
||||
<Filter Name="Header Files" Filter="fi;fd"/>
|
||||
<Filter Name="Resource Files" Filter="rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe"/>
|
||||
<Filter Name="Source Files" Filter="f90;for;f;fpp;ftn;def;odl;idl">
|
||||
<File RelativePath=".\INPUT.dat"/>
|
||||
<File RelativePath=".\main.f90"/>
|
||||
<File RelativePath=".\my_methods.f90"/>
|
||||
<File RelativePath=".\my_parameters.f90"/></Filter></Files>
|
||||
<Globals/></VisualStudioProject>
|
||||
155656
computer-hw2-2/computer-hw2-2/data_problem_22.dat
Normal file
155656
computer-hw2-2/computer-hw2-2/data_problem_22.dat
Normal file
File diff suppressed because it is too large
Load Diff
154085
computer-hw2-2/computer-hw2-2/data_problem_22_withForce-alpha3.dat
Normal file
154085
computer-hw2-2/computer-hw2-2/data_problem_22_withForce-alpha3.dat
Normal file
File diff suppressed because it is too large
Load Diff
155511
computer-hw2-2/computer-hw2-2/data_problem_22_withForce.dat
Normal file
155511
computer-hw2-2/computer-hw2-2/data_problem_22_withForce.dat
Normal file
File diff suppressed because it is too large
Load Diff
9
computer-hw2-2/computer-hw2-2/main.f90
Normal file
9
computer-hw2-2/computer-hw2-2/main.f90
Normal file
@ -0,0 +1,9 @@
|
||||
PROGRAM MAIN
|
||||
USE MY_METHODS
|
||||
IMPLICIT NONE
|
||||
|
||||
CALL GET_PROBLEM_22_WITH_FORCE
|
||||
|
||||
PRINT*, "-----"
|
||||
|
||||
END PROGRAM
|
||||
376
computer-hw2-2/computer-hw2-2/my_methods.f90
Normal file
376
computer-hw2-2/computer-hw2-2/my_methods.f90
Normal file
@ -0,0 +1,376 @@
|
||||
MODULE MY_METHODS
|
||||
|
||||
IMPLICIT NONE
|
||||
|
||||
CONTAINS
|
||||
|
||||
!4th RUNGE-KUTTA Method
|
||||
SUBROUTINE RUNGE(NEQ,X,Y,H)
|
||||
INTEGER :: NEQ, I
|
||||
REAL*8 :: X, H
|
||||
REAL*8 :: Y(NEQ),DELTAY1(NEQ),DELTAY2(NEQ),DELTAY3(NEQ),&
|
||||
DELTAY4(NEQ),Z(NEQ)
|
||||
|
||||
!FIRST STEP
|
||||
DO I = 1, NEQ
|
||||
Z(I) = Y(I)
|
||||
END DO
|
||||
CALL FUNC_RK(NEQ,X,Z,DELTAY1,H)
|
||||
|
||||
!SECOND STEP
|
||||
DO I = 1, NEQ
|
||||
Z(I) = Y(I) + DELTAY1(I) / 2.
|
||||
END DO
|
||||
X = X + H / 2.
|
||||
CALL FUNC_RK(NEQ,X,Z,DELTAY2,H)
|
||||
|
||||
!THIRD STEP
|
||||
DO I = 1, NEQ
|
||||
Z(I) = Y(I) + DELTAY2(I) / 2.
|
||||
END DO
|
||||
CALL FUNC_RK(NEQ,X,Z,DELTAY3,H)
|
||||
|
||||
!FOURTH STEP
|
||||
DO I = 1, NEQ
|
||||
Z(I) = Y(I) + DELTAY3(I)
|
||||
END DO
|
||||
X = X + H / 2.
|
||||
CALL FUNC_RK(NEQ,X,Z,DELTAY4,H)
|
||||
|
||||
!SUMMARY
|
||||
DO I = 1, NEQ
|
||||
Y(I) = Y(I) + (DELTAY1(I) + 2D0*DELTAY2(I) + 2D0*DELTAY3(I) + &
|
||||
DELTAY4(I)) / 6D0
|
||||
END DO
|
||||
|
||||
RETURN
|
||||
|
||||
END SUBROUTINE RUNGE
|
||||
|
||||
SUBROUTINE FUNC_RK(NEQ,X,Y,DELTAY,H)
|
||||
|
||||
USE MY_PARAMETERS, ONLY: OMEGA_0,ALPHA,GAMMA &
|
||||
,H_FORCE,OMEGA
|
||||
|
||||
INTEGER :: NEQ
|
||||
REAL*8 :: X, H
|
||||
REAL*8 :: Y(NEQ),DELTAY(NEQ)
|
||||
|
||||
DELTAY(1) = (Y(2)) * H
|
||||
! WITHOUT FORCE:
|
||||
! -OMEGA_0**2 * Y(1)**ALPHA - GAMMA*Y(2)
|
||||
! WIHT FORCE:
|
||||
! -OMEGA_0**2 * Y(1)**ALPHA - GAMMA*Y(2) + H_FORCE*DCOS(OMEGA*X)
|
||||
DELTAY(2) = (-OMEGA_0**2 * Y(1)**ALPHA - GAMMA*Y(2) &
|
||||
+ H_FORCE*DCOS(OMEGA*X) &
|
||||
) * H
|
||||
|
||||
END SUBROUTINE
|
||||
|
||||
SUBROUTINE GET_INPUT
|
||||
USE MY_PARAMETERS
|
||||
IMPLICIT NONE
|
||||
|
||||
CHARACTER (77) :: BUF
|
||||
LOGICAL exist
|
||||
|
||||
INQUIRE(FILE="INPUT.dat", EXIST=exist)
|
||||
OPEN(9, FILE="INPUT.dat")
|
||||
IF(exist) THEN
|
||||
READ (9, '(A77)') buf !--# Initial conditions --
|
||||
READ (9, '(A77)') buf !--dddddd.ddd- INITIAL X ----
|
||||
READ (9, '(2x,f10.3)') X0
|
||||
READ (9, '(A77)') buf !--dddddd.ddd- INITIAL VX ----
|
||||
READ (9, '(2x,f10.3)') VX0
|
||||
|
||||
READ (9, '(A77)') buf !--# Other settings --
|
||||
READ (9, '(A77)') buf !--#d.dddE#dd-- DT(TIME STEP) ----
|
||||
READ (9, '(2x,e10.3)') DT
|
||||
READ (9, '(A77)') buf !--dddddd.ddd- ALPHA ----
|
||||
READ (9, '(2x,f10.3)') ALPHA
|
||||
READ (9, '(A77)') buf !--dddddd.ddd- GAMMA ----
|
||||
READ (9, '(2x,f10.3)') GAMMA
|
||||
READ (9, '(A77)') buf !--dddddd.ddd- H (FORCE) ----
|
||||
READ (9, '(2x,f10.3)') H_FORCE
|
||||
READ (9, '(A77)') buf !--dddddd.ddd- OMEGA (FORCE) ----
|
||||
READ (9, '(2x,f10.3)') OMEGA
|
||||
ELSE
|
||||
PRINT*, "Input file NOT FOUND! Defaulted values used."
|
||||
! # Initial conditions ---
|
||||
X0 = 0D0
|
||||
VX0 = 1D0
|
||||
|
||||
! # Other settings ---
|
||||
DT = 1D-3
|
||||
ALPHA = 1D0
|
||||
GAMMA = 1D-1
|
||||
H_FORCE = 1D0
|
||||
OMEGA = 1D0
|
||||
|
||||
END IF
|
||||
|
||||
RETURN
|
||||
END SUBROUTINE
|
||||
|
||||
SUBROUTINE GET_PROBLEM_22
|
||||
USE MY_PARAMETERS
|
||||
IMPLICIT NONE
|
||||
|
||||
REAL*8 :: TIME, Y(2)
|
||||
INTEGER :: NEQ
|
||||
|
||||
! to calculate the period
|
||||
INTEGER, PARAMETER :: MAX_PERIODS = 50
|
||||
REAL*8 :: TIME_OLD, VX_OLD
|
||||
REAL*8 :: PERIOD(MAX_PERIODS), LOOP(MAX_PERIODS-1)
|
||||
INTEGER :: INDEX_PERIOD, I
|
||||
|
||||
REAL*8 :: PERIOD_AVERAGE
|
||||
|
||||
! to calculate the amplitude
|
||||
REAL*8 :: X_MAX, X_MIN, AMPLITUDE
|
||||
|
||||
|
||||
NEQ = 2
|
||||
|
||||
CALL GET_INPUT
|
||||
|
||||
Y(1) = X0
|
||||
Y(2) = VX0
|
||||
TIME = 0D0
|
||||
INDEX_PERIOD = 0
|
||||
|
||||
OPEN(UNIT=91, FILE="data_problem_22.dat")
|
||||
WRITE(91, 100) "descriptor","time","x","vx"
|
||||
WRITE(91,200) " ",TIME,Y(1),Y(2)
|
||||
|
||||
DO WHILE ((INDEX_PERIOD .LT. MAX_PERIODS) .AND. TIME < 1000)
|
||||
! TO CALCULATE PERIOD
|
||||
VX_OLD = Y(2)
|
||||
TIME_OLD = TIME
|
||||
|
||||
CALL RUNGE(NEQ,TIME,Y,DT)
|
||||
|
||||
WRITE(91,200) " ",TIME,Y(1),Y(2)
|
||||
|
||||
! TO CALCULATE PERIOD
|
||||
IF (Y(2)*VX_OLD .LT. 0) THEN
|
||||
INDEX_PERIOD = INDEX_PERIOD + 1
|
||||
! to get the time when the speed get zero
|
||||
PERIOD(INDEX_PERIOD) = TIME_OLD - &
|
||||
VX_OLD * (TIME - TIME_OLD)/(Y(2)-VX_OLD)
|
||||
IF (INDEX_PERIOD .GT. 1) THEN
|
||||
LOOP(INDEX_PERIOD - 1) = PERIOD(INDEX_PERIOD) - &
|
||||
PERIOD(INDEX_PERIOD - 1)
|
||||
END IF
|
||||
END IF
|
||||
|
||||
END DO
|
||||
|
||||
CLOSE(91)
|
||||
|
||||
PERIOD_AVERAGE = SUM(LOOP) / SIZE(LOOP)
|
||||
|
||||
PRINT*, PERIOD_AVERAGE
|
||||
|
||||
! change vx0, and see the change of the period
|
||||
OPEN(UNIT=92, FILE="AMPLITUDE-PERIOD_22-2.dat")
|
||||
WRITE(92,100) "descriptor","vx","AMPLITUDE","PERIOD"
|
||||
|
||||
DO I=1,100
|
||||
Y(1) = X0
|
||||
Y(2) = VX0+I/1D1
|
||||
TIME = 0D0
|
||||
INDEX_PERIOD = 0
|
||||
X_MAX = X0
|
||||
X_MIN = X0
|
||||
|
||||
|
||||
DO WHILE ((INDEX_PERIOD .LT. MAX_PERIODS) .AND. TIME < 1000)
|
||||
! TO CALCULATE PERIOD
|
||||
VX_OLD = Y(2)
|
||||
TIME_OLD = TIME
|
||||
|
||||
! TO CALCULATE AMPLITUDE
|
||||
IF (Y(1) .GT. X_MAX) THEN
|
||||
X_MAX = Y(1)
|
||||
END IF
|
||||
IF (Y(1) .LT. X_MIN) THEN
|
||||
X_MIN = Y(1)
|
||||
END IF
|
||||
|
||||
|
||||
CALL RUNGE(NEQ,TIME,Y,DT)
|
||||
|
||||
WRITE(91,200) " ",TIME,Y(1),Y(2)
|
||||
|
||||
! TO CALCULATE PERIOD
|
||||
IF (Y(2)*VX_OLD .LT. 0) THEN
|
||||
INDEX_PERIOD = INDEX_PERIOD + 1
|
||||
! to get the time when the speed gets zero
|
||||
PERIOD(INDEX_PERIOD) = TIME_OLD - &
|
||||
VX_OLD * (TIME - TIME_OLD)/(Y(2)-VX_OLD)
|
||||
IF (INDEX_PERIOD .GT. 1) THEN
|
||||
LOOP(INDEX_PERIOD - 1) = PERIOD(INDEX_PERIOD) - &
|
||||
PERIOD(INDEX_PERIOD - 1)
|
||||
END IF
|
||||
END IF
|
||||
|
||||
END DO
|
||||
|
||||
|
||||
PERIOD_AVERAGE = SUM(LOOP) / SIZE(LOOP)
|
||||
|
||||
AMPLITUDE = X_MAX - X_MIN
|
||||
|
||||
WRITE(*,'("A = ",F12.6, ", T = ",F12.6)') &
|
||||
AMPLITUDE, PERIOD_AVERAGE
|
||||
|
||||
WRITE(92,200) " ",VX0+I/1D1,AMPLITUDE,PERIOD_AVERAGE
|
||||
END DO
|
||||
|
||||
CLOSE(92)
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
! FORMATS
|
||||
100 FORMAT(4(A12,2x))
|
||||
200 FORMAT(A12, 2x, 3(F12.6,2x))
|
||||
END SUBROUTINE
|
||||
|
||||
SUBROUTINE GET_PROBLEM_22_WITH_FORCE
|
||||
USE MY_PARAMETERS
|
||||
IMPLICIT NONE
|
||||
|
||||
REAL*8 :: TIME, Y(2)
|
||||
INTEGER :: NEQ
|
||||
|
||||
! to calculate the period
|
||||
INTEGER, PARAMETER :: MAX_PERIODS = 50
|
||||
REAL*8 :: TIME_OLD, VX_OLD
|
||||
REAL*8 :: PERIOD(MAX_PERIODS), LOOP(MAX_PERIODS-1)
|
||||
INTEGER :: INDEX_PERIOD, I
|
||||
|
||||
REAL*8 :: PERIOD_AVERAGE
|
||||
|
||||
! to calculate the amplitude
|
||||
REAL*8 :: X_MAX, X_MIN, AMPLITUDE
|
||||
|
||||
|
||||
NEQ = 2
|
||||
|
||||
CALL GET_INPUT
|
||||
|
||||
Y(1) = X0
|
||||
Y(2) = VX0
|
||||
TIME = 0D0
|
||||
INDEX_PERIOD = 0
|
||||
|
||||
OPEN(UNIT=91, FILE="data_problem_22_withForce-alpha3.dat")
|
||||
WRITE(91,100) "descriptor","time","x","vx"
|
||||
WRITE(91,200) " ",TIME,Y(1),Y(2)
|
||||
|
||||
DO WHILE ((INDEX_PERIOD .LT. MAX_PERIODS) .AND. TIME < 1000)
|
||||
! TO CALCULATE PERIOD
|
||||
VX_OLD = Y(2)
|
||||
TIME_OLD = TIME
|
||||
|
||||
CALL RUNGE(NEQ,TIME,Y,DT)
|
||||
|
||||
WRITE(91,200) " ",TIME,Y(1),Y(2)
|
||||
|
||||
! TO CALCULATE PERIOD
|
||||
IF (Y(2)*VX_OLD .LT. 0) THEN
|
||||
INDEX_PERIOD = INDEX_PERIOD + 1
|
||||
! to get the time when the speed get zero
|
||||
PERIOD(INDEX_PERIOD) = TIME_OLD - &
|
||||
VX_OLD * (TIME - TIME_OLD)/(Y(2)-VX_OLD)
|
||||
IF (INDEX_PERIOD .GT. 1) THEN
|
||||
LOOP(INDEX_PERIOD - 1) = PERIOD(INDEX_PERIOD) - &
|
||||
PERIOD(INDEX_PERIOD - 1)
|
||||
END IF
|
||||
END IF
|
||||
|
||||
END DO
|
||||
|
||||
CLOSE(91)
|
||||
|
||||
PERIOD_AVERAGE = SUM(LOOP) / SIZE(LOOP)
|
||||
|
||||
PRINT*, PERIOD_AVERAGE
|
||||
|
||||
! change OMEGA, and see the change of the AMPLITUDE
|
||||
! rough scan
|
||||
! fine scan
|
||||
OPEN(UNIT=92, FILE="OMEGA-AMPLITUDE_22-2_withForce-alpha3-fine.dat")
|
||||
WRITE(92,101) "descriptor","OMEGA","AMPLITUDE"
|
||||
|
||||
DO I=1,150
|
||||
Y(1) = X0
|
||||
Y(2) = VX0
|
||||
OMEGA = 5D-1 + I/1D2
|
||||
TIME = 0D0
|
||||
INDEX_PERIOD = 0
|
||||
X_MAX = X0
|
||||
X_MIN = X0
|
||||
|
||||
|
||||
DO WHILE ((INDEX_PERIOD .LT. MAX_PERIODS) .AND. TIME < 1000)
|
||||
! TO CALCULATE PERIOD
|
||||
VX_OLD = Y(2)
|
||||
TIME_OLD = TIME
|
||||
|
||||
! TO CALCULATE AMPLITUDE
|
||||
IF (Y(1) .GT. X_MAX) THEN
|
||||
X_MAX = Y(1)
|
||||
END IF
|
||||
IF (Y(1) .LT. X_MIN) THEN
|
||||
X_MIN = Y(1)
|
||||
END IF
|
||||
|
||||
|
||||
CALL RUNGE(NEQ,TIME,Y,DT)
|
||||
|
||||
WRITE(91,200) " ",TIME,Y(1),Y(2)
|
||||
|
||||
! TO CALCULATE PERIOD
|
||||
IF (Y(2)*VX_OLD .LT. 0) THEN
|
||||
INDEX_PERIOD = INDEX_PERIOD + 1
|
||||
!! to get the time when the speed gets zero
|
||||
!PERIOD(INDEX_PERIOD) = TIME_OLD - &
|
||||
! VX_OLD * (TIME - TIME_OLD)/(Y(2)-VX_OLD)
|
||||
!IF (INDEX_PERIOD .GT. 1) THEN
|
||||
! LOOP(INDEX_PERIOD - 1) = PERIOD(INDEX_PERIOD) - &
|
||||
! PERIOD(INDEX_PERIOD - 1)
|
||||
!END IF
|
||||
END IF
|
||||
|
||||
END DO
|
||||
|
||||
|
||||
!PERIOD_AVERAGE = SUM(LOOP) / SIZE(LOOP)
|
||||
|
||||
AMPLITUDE = X_MAX - X_MIN
|
||||
|
||||
WRITE(*,'("OMEGA = ",F12.6, ", AMPLITUDE = ",F12.6)') &
|
||||
OMEGA,AMPLITUDE
|
||||
|
||||
WRITE(92,201) " ",OMEGA,AMPLITUDE
|
||||
END DO
|
||||
|
||||
CLOSE(92)
|
||||
|
||||
|
||||
|
||||
|
||||
|
||||
! FORMATS
|
||||
100 FORMAT(4(A12,2x))
|
||||
200 FORMAT(A12, 2x, 3(F12.6,2x))
|
||||
101 FORMAT(3(A12,2x))
|
||||
201 FORMAT(A12, 2x, 2(F12.6,2x))
|
||||
END SUBROUTINE
|
||||
|
||||
END MODULE
|
||||
19
computer-hw2-2/computer-hw2-2/my_parameters.f90
Normal file
19
computer-hw2-2/computer-hw2-2/my_parameters.f90
Normal file
@ -0,0 +1,19 @@
|
||||
MODULE MY_PARAMETERS
|
||||
|
||||
IMPLICIT NONE
|
||||
|
||||
REAL*8, PARAMETER :: OMEGA_0 = 1D0
|
||||
|
||||
REAL*8 :: X0,VX0
|
||||
REAL*8 :: DT
|
||||
|
||||
REAL*8 :: ALPHA
|
||||
|
||||
REAL*8 :: GAMMA
|
||||
! THE DAMPING FACTOR
|
||||
|
||||
REAL*8 :: OMEGA, H_FORCE
|
||||
! THE FORCE, H_FORCE MEANS H/m
|
||||
|
||||
|
||||
END MODULE
|
||||
BIN
computer-hw2-2/computer-hw2-2/p2-2-omega-A-alpha3-fine.pdf
Normal file
BIN
computer-hw2-2/computer-hw2-2/p2-2-omega-A-alpha3-fine.pdf
Normal file
Binary file not shown.
BIN
computer-hw2-2/computer-hw2-2/p2-2-omega-A-alpha3-rough.pdf
Normal file
BIN
computer-hw2-2/computer-hw2-2/p2-2-omega-A-alpha3-rough.pdf
Normal file
Binary file not shown.
Loading…
Reference in New Issue
Block a user