TI-BASIC:Useful Routines

Filled Circle

• Author: Calc84Maniac
• Inputs:
  • X = x-coordinate of center
  • Y = y-coordinate of center
  • R = radius

:For(F,0,R,[deltax]

sqrt(R^2-F^2

Line(X+F,Y+Ans,X+F,Y-Ans

Line(X-F,Y+Ans,X-F,Y-Ans

End

Fraction Parts

• Author: Calc84Maniac
• Input:
  • Ans=a number
• Output:
  • Ans={numerator,denominator}

:{Ans,1,fpart(abs(Ans

While e-9<Ans(3

{Ans(1),Ans(3),Ans(3)fpart(Ans(2)/Ans(3

End

round({Ans(1),1}/Ans(2),0

Graph Mode

• Author: Calc84Maniac
• Inputs: none
• Output: Ans=
  • 0:FUNC
  • 1:PAR
  • 2:POL
  • 3:SEQ
• Destroys: GDBn

:StoreGDB n

1->Tmin

1->[thetamin]

2->nMin

ZStandard

not(Tmin)+2not([thetamin])+3(nMin=1

RecallGDB n

Delvar GDBn

Counting List Matches

• Author: Calc84Maniac

Returns how many times A appears in LIST

:sum(LIST=A

Returns how many corresponding elements of LIST1 and LIST2 are equal Note: dim(LIST1) must equal dim(LIST2)

:sum(LIST1=LIST2

Mode of List

• Author: Calc84Maniac
• Inputs: LIST
• Outputs:
  • D = mode(LIST
  • E = 1 if no unique mode, otherwise E=0

:0->B

For(A,1,dim(LIST

sum(LIST=LIST(A->C

If C=B and D/=LIST(A

1->E

If C>B

LIST(A->D

Delvar EC->B

End

End

Most Efficient getKey

• Author: jonbush
• Input: none
• Output: the key pressed in K (or you can change to another variable)

:Repeat Ans

getkey->K

End

Text to List

• Author: Lafferjm
• Input: Str1, Str2 as shown
• Output: L1

Takes text entered from input and changes it into list

:DelVar L1

"ABCDEFGHIJKLMNOPQRSTUVWXYZ? .→Str1

ClrHome

Input "NAME:",Str2

For(A,1,length(Str2

inString(Str1,sub(Str2,A,1→L1(A

End

List To Text

• Author: lafferjm
• Input: None
• Output: List changed into text

Takes numbers in list from List to text and changes it into a word on the screen

:ClrHome

"ABCDEFGHIJKLMNOPQRSTUVWXYZ? .→Str1

For(A,1,dim(L1

Output(1,A,sub(Str1,L1(A),1

End

Shuffle Elements of List

Shuffles LIST1. Note: If you know what dim(LIST1) will be, replace it with a number.

• Author: Calc84Maniac
• Destroys: LIST2

:rand(dim(LIST1->LIST2

SortA(LIST2,LIST1

Formatted Text on a Graph Screen

Clears the graph screen

• Authors: B-flat, KermMartian, and Calc84Maniac
• Input: Str1

:ClrDraw

length(Str1->A

For(J,1,1+iPart(A/23

For(I,1,23

If 23J-24+I<A

Text(7J-7,4I-4,sub(Str1,23J-23+I,1

End

End

[1]

Modulo Division

The Round( is in there in case of an infinitely repeating decimal (like 1/3).

• Authors: The Tari, Something1990, and Calc84Maniac
• Inputs:
  • A = Dividend
  • B = Divisor

:round(BfPart(A/B),0

Matrix to List

Converts any size matrix to a list

• Author: lafferjm
• Input:
  • Matrix A
• Output:
  • Lsave

:ClrHome

1→dim(L2

dim([A]→L1

L1(1→A

L1(2→B

For(C,1,A

For(D,1,B

[A](C,D→L2(dim(L2)+1

End

End

For(A,2,dim(L2)

L2(A)→∟SAVE(A-1

End

DelVar L1DelVar L2DelVar [A]DelVar BDelVar CDelVar ADelVar D

List to Matrix

Takes any size list and stores it into a matrix

• Author: Lafferjm
• Inputs: Lsave
• Output: Matrix [A]

:ClrHome

Input "ROWS:",F

ClrHome

dim(∟SAVE)/F→G

{F,G→dim([A]

1→A

1→B

G→C

0→D

Repeat A=F+1

For(E,1,G

D+1→D

∟SAVE(D→[A](A,E

End

A+1→A

C+1→B

C+G→C

End

DelVar ADelVar BDelVar CDelVar DDelVar EDelVar FDelVar G

Convert A to a String [Optimized]

• Author: Weregoose

:{A,A->L2

{0,1->L1

LinReg(a+bx) Y1

Equ>String(Y1,Str1

sub(Str1,1,length(Str1)-3->Str1

Pop First List Element

Input and output variables can be changed to whatever.

• Author: Calc84Maniac
• Input: Ans
• Output: Ans

:ΔList(cumSum(Ans

Rotate a 3x3 Matrix 90°

• Author: HaveACalc
• Input: Ans
• Output: Ans

:rowSwap(Ans<superscript T transpose>,1,3

Find List Element Index

• Author: Ed H
• Inputs:
  • A = a number
• Output: Ans=the position of the last occurrence of A in L1

:max(seq(X(A=L1(X)),X,1,dim(L1

=== Find List Element Index (Within Bounds)

• Inputs:
  • A = A number
  • B = Where it begins looking
  • C = Where it ends looking
• Output: Ans=The position of the last occurrence of A in the portion of L1 starting from element B and ending with element C

:max(seq(X(A=L1(X)),X,B,C

Convert Base 10 to Any Base (2 to 16)

• Author: RthProg
• Inputs:
  • A = Number to convert
  • B = Base to convert to
• Outputs: Str0

:"_

For(I,1,1+ln(A)/ln(B

Ans+sub("0123456789ABCDEF",1+int(BfPart(AB^-I)),1

End

• Author: PT_
• Inputs:
  • N = Number to convert
  • A = Base to convert to
• Outputs: List with 8 decimals in base-A

:AfPart(1/Aint(NA^seq(X,X,~7,0

or

:remainder(int(NA^seq(X,X,~7,0)),A

Change Case of a String

• Authors: RthProg and Ed H
• Inputs:
  • A = (1) Change to uppercase
  • Str1 = String to convert
• Outputs:
  • Str1 = Converted string

:not(A)-->A

length(Str1)->B

"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz"->Str2

For(N,1,B

inString(sub(Str2,26A + 1, 26),sub(Str1,N,1)

Str1 + sub(sub(Str1,N,1) +sub(sub(Str2,26,26)+sub(Str2,1,26),26A+1,26),Ans+1,1)-->Str1

End

sub(Str1,B+1,B)-->Str1

Number to Roman Numeral

• Author: Ed H
• Inputs:
  • N = Number to convert
• Outputs:
  • Ans & Str0 = Converted number

<code:" →Str0

For(X,0,log(N

10fPart(.1N→Z

While Z

sum({4.1,4.1,9.2}(Z={4,5,9→T

sub("IVXLCDMvxlcdmni",2X+10fPart(T)+1,1)+Str0→Str0

abs(Z-1-int(T→Z

End

int(.1N→N

End

Str0

Find Unique Elements in Two Lists

• Authors: rthprog/lirtosiast
• Input: L1 and L2
• Output: L3 (All elements that are in L1 but not L2, and elements that are in L2 but not L1.)
• Conditions: "0" is not a unique element, and no element is repeated within an individual list

:augment(L1,L2

Ansseq(1=sum(Ans=Ans(X)),X,1,dim(Ans->L3

SortD(L3

sum(L3≠0→dim(L3