hoja para interpolar datos

7/28/2019 Hoja Para Interpolar Datos

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IP, IP_4

Finds the intersection points of two 2D lines or polylines

=IP(Line1, Line2, Optional Coordinate, Optional Point no)

"Line1" and "Line 2" are ranges listing the XY coordinates for the two lines

If the ranges for Line1 or Line2 have more than 2 columns, the data in that range is ass

"Coordinate" specifies the ordinate required, 1 = X, 2 = Y

"Point No" specifies which intersection point is requiredIf "Point No" is not provided IP returns an n x 2 array, where n is the number of intersect

If "Coordinate" is not provided IP returns a 1 x 2 array if "Point no" is provided, or an n x

If "Line2" is a single point IP returns intersection points for a line through this point and p

=IP_4(Line1X, Line1Y, Line2X, Line2Y, Optional Coordinate, Optional Point no)

For IP_4 the X and Y ranges for both lines are entered separately, allowing non-adjacen

If the ranges for Line1 or Line2 have more than 1 column, the data in that range is assu

Line1

x y

13 5

12.510565163 8.0901699437

11.090169944 10.877852523

8.8778525229 13.090169944

3 17

3 15

-0.090169944 14.510565163

-2.877852523 13.090169944

-5.090169944 10.877852523

-6.510565163 8.0901699437

-7 5

-6.510565163 1.9098300563

-5.090169944 -0.877852523

-2.877852523 -3.090169944

-0.090169944 -4.510565163

3 -5

6.0901699437 -4

8.8778525229 -3.090169944

11.090169944 -0.877852523

12.510565163 1.9098300563

13 5

Line2 (range name LineB)

13 6

-4 -5

-4 6

-7 16

5 16

IP in Segment No.Point No X Y Line1 Line2

1 #VALUE! #VALUE! #VALUE! #VALUE!

-10

Y-Axis


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1 #VALUE! #VALUE!

2 #VALUE! #VALUE!

3 #VALUE! #VALUE!4 #VALUE! #VALUE!

5 #VALUE! #VALUE!

6 #VALUE! #VALUE!

#VALUE! #VALUE!

#VALUE! #VALUE!

INSIDE

Finds if a specified point is inside a closed polyline

=INSIDE(Polyline, Point)

#VALUE! #VALUE!

IPLC

Finds the intersection points of a 2D line and a circle

=IPLC(Line, CircleXY ,Radius)

X Y

Line 4 3

100 6

Circle centr 3 8

Radius 8

m c

dx,dy 96 3 0.03125 2.875

Intersection Points

X Y

IP1 #VALUE! #VALUE!

IP2 #VALUE! #VALUE!

Check distance from circle centre and line parameters

Dist m c

IP1 #VALUE! #VALUE! #VALUE!


IPCC

Finds the intersection points of two circles

=IPCC(Circle1XY, Radius1, Circle2XY, Radius2)X Y Radius


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Intersection Points

X Y

IP1 #VALUE! #VALUE!

IP2 #VALUE! #VALUE!

Check distance from circle centre and line parameters

Circ1 Circ2IP1 #VALUE! #VALUE!

IP2 #VALUE! #VALUE!

IPSSS, IPSS

IPSSS finds the 3D intersection points of three spheres

IPSS finds the location and radius of the intersection circle of two spheres,

and the polar coordinate angles of the line connecting the two cenrtres

=IPSSS(Sphere1XYZR, Sphere2XYZR, Sphere3XYZR)

X Y Z R

Sphere1 1 2 3 5

Sphere2 5 3 -1 6

Sphere3 2 4 9 7

Intersection points



Check distance from IP's to circle centres

Sphere1 Sphere2 Sphere3



=IPSS(Sphere1XYZR, Sphere2XYZR)

Distance from centre sphere1 to centre intersection circle, radius intersection circle,

and angle of line connecting sphere centres in XY plane and perpendicular plane (radians)

Dist; Theta1 Radius; Theta2

Length #VALUE! #VALUE!

Angle #VALUE! #VALUE!

Check distance from circle to sphere centres

Sphere1 Sphere2

#VALUE! #VALUE!

Check angle of line connecting centres

Theta1 Theta2

#VALUE! #VALUE!


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ArcCenT2IP finds the centre and radius of an arc specified by 2 tangent points and

If the tangent points are not equidistant from the intersection point the further point is mov

If either of the tangent points are adjusted the revised 3D coordinates are returned in the s

together with the point number (1 or 2) of the adjusted point.

ArcCenP3 finds the centre and radius of an arc specified by any 3 points on the ar

Point 2 must lie between Points 1 and 3

For both functions points are specified as a single row range with 2 or 3 columns

If Point 1 is specified with 2 coordiantes the problem is treated as 2D, and any Z values spe

=ArcCenT2IP(TP1, TP2, IP)

Arc Centre and radius

X Y Z

TP 1 -1.414213562 1.4142135624 1

TP 2 1.4142135624 1.4142135624 3

IP 0 3 2

X Y Z R

#VALUE! #VALUE! #VALUE! #VALUE!

Adjusted pt #VALUE! #VALUE! #VALUE! #VALUE!

Check distance from tangent points to circle centre

R

Point 1 #VALUE!

Point 2 #VALUE!

Adjusted Pt #VALUE! #VALUE!

=ArcCenP3(Point1, Point2, Point3 )

Arc Centre and radius

X Y Z

Point 1 -1.414213562 1.4142135624 1

Point 2 0 2 2

Point 3 1.4142135624 1 3

X Y Z R


Check distance from points to circle centre

R

Point 1 #VALUE!

Point 2 #VALUE!

Point 3 #VALUE!

Alternative solution posted on Eng-Tips Forum

=ArcCenP3_2(Point1, Point2, Point3 )Arc Centre and radius

X Y Z R


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med to be arranged row-wise.

ion points.

2 array if not.

arallel to the X axis if XY = 1, or the Y axis if XY = 2

t ranges to be used.

ed to be arranged row-wise.

5 0 5 10 15

-10

-5

0

5

10

15

20

Column C

Column C

Column C

X-Axis


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the intersection point of the tangents

ed along the tangent line.

cond row of the array output,

cified for the other two points are ignored.

Step by step, on spreadsheet solution: Point 2

1. Read the 3D coordinates for three points on the circle 0.0000 2.0000

1.4142 0.5858

3. Find polar coordinates of Point 3

4. Rotate Points 2 and 3 about the Z axis so that Point 3 is on the XZ plane #VALUE! #VALUE!

#VALUE! #VALUE!

6 Find angle of Point 2 from XY plane #VALUE!

#VALUE! #VALUE!

8. Find the XY coordinates of the mid-points of lines 1-2 and 3-2. #VALUE! #VALUE!

9 Find a second point on the perpendiculars through mid-points #VALUE! #VALUE!

#VALUE! #VALUE!

11. Find the radius of the circle #VALUE!

12a. Reverse rotation about X axis #VALUE! #VALUE!

12b. Reverse rotation about Y axis #VALUE! #VALUE!

12c. Reverse rotation about Z axis #VALUE! #VALUE!

X Y12d. Reverse translation #VALUE! #VALUE!

2. Translate Point 2 and Point 3 for an origin at Point 1

5. Rotate Points 2 and 3 about the Y axis so that Point 3 is on the X axis

7. Rotate Points 2 about the X axis so that Point 2 is on the XY plane

10. Find the XY coordinates of the intersection of the perpendiculars.


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Point 3

2.0000 1.4142 1.0000 3.0000

1.0000 2.8284 -0.4142 2.0000

#VALUE! #VALUE! #VALUE!




#VALUE! #VALUE!

#VALUE! #VALUE!

#VALUE!

#VALUE!

#VALUE!

#VALUE!

Z R#VALUE! #VALUE!


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PDIST

Finds the perpendicular distance to the closest segment of a polyline

=PDist(Line,Points)

"Line" is a range listing the XY coordinates for the polyline

"Points" is a range listing the XY coordinates for one or more points

PDist returns an n x 3 array where n is the number of rows in the "points" range:Col1 = perpendicular distance from the point to the line.

Cols 2 and 3 = X and Y components of the perpendicular distance.

Enter as an array formula to return the whole array

Line

x y

13 5

12.510565 8.0901699

11.09017 10.8778538.8778525 12.9

3 13

3 14

-0.09017 14.510565

-2.877853 13.09017

-5.09017 10.877853

-6.510565 8.0901699

-7 5

-6.510565 1.9098301

-5.09017 -0.877853-2.877853 -3.09017

-0.09017 -4.510565

3 -3

6 0

8.8778525 -3.09017

11.09017 -0.877853

12.510565 1.9098301

13 5

Points

4.8 15

4.5 15

-8 10

5 2

9 4

Distance DX DY


-10 -5 0

-10

-5

0

5

10

15

X-A

Y-Axis


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Perpendicular Lines

1 4.8 15

#VALUE! #VALUE!

2 4.5 15

#VALUE! #VALUE!

3 -8 10

#VALUE! #VALUE!

4 5 2

#VALUE! #VALUE!

5 9 4

#VALUE! #VALUE!

5 10 15

is


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RtoP, PtoR

Converts rectangular to polar coordinates and polar to rectangular

=RtoP(Rectangular Coordinate range, Origin, Coordinate number)

=PtoR(Polar Coordinate range, Origin, Coordinate number)

Coordinate number 1 2 3

Rectangular X Y Z

Polar R Theta1 Theta2Theta1 = angle in XY plane

Theta2 = angle in perpendicular plane

Where an origin is given the origin is moved to the coordinates specified

X Y R theta1 X

13 5 #VALUE! #VALUE! #VALUE!

12.510565 8.0901699 #VALUE! #VALUE! #VALUE!


8.8778525 13.09017 #VALUE! #VALUE! #VALUE!3 17 #VALUE! #VALUE! #VALUE!


-0.09017 14.510565 #VALUE! #VALUE! #VALUE!




-7 5 #VALUE! #VALUE! #VALUE!


-5.09017 -0.877853 #VALUE! #VALUE! #VALUE!

-2.877853 -3.09017 #VALUE! #VALUE! #VALUE!-0.09017 -4.510565 #VALUE! #VALUE! #VALUE!

3 -5 #VALUE! #VALUE! #VALUE!

6.0901699 -4 #VALUE! #VALUE! #VALUE!

8.8778525 -3.09017 #VALUE! #VALUE! #VALUE!




Rotate

Rotates 2D or 3D rectangular axes about any axis

Rotate(Rectangular Coordinate range, Rotation in radians, Axis, Optional Coordin

Axis or Coordinate num 1 2 3

X Y Z

Rotate coordinates in XY plane about Z axis:

Rotation 0.7853981634 -0.785398

Axis 3 3

X Y X Y X



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Rotate 3D coordinates about 3 axes:

Rotation 0.5235987756 30 0.3490659

Axis 1 2

X Y Z X Y Z X

1.000 1.000 1.000 #VALUE! #VALUE! #VALUE! #VALUE!-1.000 1.000 1.000 #VALUE! #VALUE! #VALUE! #VALUE!

-1.000 -1.000 1.000 #VALUE! #VALUE! #VALUE! #VALUE!

1.000 -1.000 1.000 #VALUE! #VALUE! #VALUE! #VALUE!

1.000 1.000 -1.000 #VALUE! #VALUE! #VALUE! #VALUE!

-1.000 1.000 -1.000 #VALUE! #VALUE! #VALUE! #VALUE!

-1.000 -1.000 -1.000 #VALUE! #VALUE! #VALUE! #VALUE!

1.000 -1.000 -1.000 #VALUE! #VALUE! #VALUE! #VALUE!


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Y dist slope

#VALUE!

#VALUE! #VALUE! #VALUE! #VALUE! #VALUE!


#VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE!









#VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE!







ate Number)

Y

#VALUE!


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#VALUE!

20 0.5235988 30 -0.523599

3 3

Y Z X Y Z X Y Z

#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!

#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!







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-0.349066 -0.523599

2 1

X Y Z X Y Z

#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!

#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE!







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interp #VALUE! =interp(tablerange, value, column no) Linear interp

interp2 #VALUE! =interp2(tablerange, row value, column val) 2 way linear

loginterp #VALUE! =loginterp(tablerange, value, column no) Log interpol

loginterp2 #VALUE! =loginterp2(tablerange, row value, column val) 2 way log int

quadinterp #VALUE! =quadinterp(tablerange, value, column no) Quadratic int

Age K1 Shrinkage AgeDays Arid Column

50 100 200 400 Thickness

1 0.19 0.09 0.03 0

3 0.3 0.13 0.05 0.01

10 0.48 0.24 0.08 0.03

30 0.75 0.48 0.19 0.05

100 0.97 0.73 0.38 0.13

365 1.16 0.91 0.59 0.3

1095 1.26 1.05 0.75 0.43

3650 1.29 1.1 0.83 0.5410951 1.29 1.1 0.86 0.58

1 10 100 1000 10000 100000

0

0.2

0.4

0.6

0.8

1

1.2

1.4

X-Axis

Y-Axis


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olation

interpolation

tion

erpolation

erpolation

5001

100


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Disclaimer

This program is free software; you can redistribute it and/or

modify it under the terms of the GNU General Public License

as published by the Free Software Foundation; either version 2

of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful,

but WITHOUT ANY WARRANTY; without even the implied warranty of

MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the

GNU General Public License for more details.

A copy of the GNU General Public License may be obtained from:

The Free Software Foundation, Inc.

59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.

Copyright 2009 Interactive Design Services Pty Ltd. all rights reserved

Revision History

Current Version 1.14 19-Jul-09

Rev Date By Description

1.00 1-Jun-05 DAJ First release

1.01 14-Dec-05 DAJ Interp modified for X values in descending order

1.02 23-Dec-06 DAJ IP modified to use arrays in place of ranges

1.03 18-Jul-07 DAJ IP modified to allow array output

1.04 25-Aug-07 DAJ Quadinterp added

1.05 16-Sep-07 DAJ IPLC, IPCC, IPSS, IPSSS added.

1.06 10-Aug-08 DAJ INSIDE added, IPax separated from IP

1.07 6-Jan-09 DAJ Sign of rotation about Y axis corrected in Rotate.1.08 14-Feb-09 DAJ PDist added

1.09 24-Feb-09 DAJ PDist modified for duplicate points

1.10 4/7/2009 DAJ IP_4 function added

1.11 7/16/2009 DAJ IPSSS corrected for revised Rotate

1.12 7/18/2009 DAJ ArcCenT2IP and ArcCenP3 added

1.13 7/19/2009 DAJ Minor changes to code, no change to results

[email protected]

www.interactiveds.com.au
mailto:[email protected]://www.interactiveds.com.au/http://www.interactiveds.com.au/mailto:[email protected]


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1.14 7/19/2009 DAJ ArcCenP3_2 added

hoja para interpolar datos

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