Halcyon Calc Operations By Menu

The operations described below do not appear within a menu. Instead, they are accessible from a button, either on the left or right page. The operation itself will describe what button to press to get this operation.

Operation Description
%

This operation takes two real arguments, calculates the product of them and divides that product by 100.

%CH

Given real values x and y pushed onto the stack in that order, this operation calculates 100 * (y - x) / x. Note...

+

The add operation will take its two numerical operands and produce the sum as its result. It operates on reals,...

-

The subtract operation will take its two numerical operands and produce the difference as its result. It operates...

<

This operation takes two real, integer or string values and produces a 1 if the first value is less than the second...

=

This operation always produces an expression which describes a relationship between its left and right side. Unlike...

>

This operation takes two real, integer or string values and produces a 1 if the first value is greater than the...

CLEAR

This operation removes all items from the stack, leaving an empty stack.

CONT

The CONT operation will resume a HALT-ed program. By placing a HALT in your program...

CONVERT

This operation performs a unit conversion of the value in Real1 from the unit described by Symbol2...

DROP

This operation removes the item from the top of the stack.

EVAL

This operation takes an item from the stack and evaluates it. For most types of stack items, evaluation does not...

INV

This operation takes a real of complex value and produces its inverse. The inverse is one divided by the input...

LAST

This operation takes no arguments from the stack. Instead, it pushes onto the stack the last arguments used in the...

PURGE

This operation is used to remove a symbol from the symbol table, deleting the value associated with it. The...

RCL

This operation is used to get the value of a symbol. It takes a symbol from the top of the stack and pushes the...

ROLL

This operation takes a real number from the stack which is the number of items on the stack to roll down. That...

SQ

The SQ operation multiplies its input argument by itself to produce the square of that input value. The value can...

STO

This operation is used to store an item on the stack into a named symbol. Anything which can be put onto the stack...

SWAP

This operation pops the top two items off of the stack and pushes them back on in reverse order.

^

This operation calculates xy given that values x and y are pushed onto the stack in that order. Either...

×

The multiply operation will take its two numerical operands and produce the product as its result. It operates on...

÷

The divide operation will take its two numerical operands and produce the quotient as its result. It operates on...

This operation can only be used from within program context. In that context, it is used like this:

...

→NUM

This operation takes an item from the stack and evaluates it. For most types of stack items, evaluation does not...

∂/∂x

This operation determines the derivative of the expression...

This operation takes a real or complex value and finds its square root. The positive root is return for real values...

This operation can be used to determine the symbolic or numeric integral of the input expression or program. For...

This operation produces a 1 if the two arguments are not equal, a 0 otherwise. It can operate on real, complex,...

This operation takes two real, integer or string values and produces a 1 if the first value is less than or equal to...

This operation takes two real, integer or string values and produces a 1 if the first value is greater than or equal...

Operation Description
CMD

This operation enables or disables the Command functionality on the calculator which allows you to recall recently...

DEG

This operation puts the calculator in degree mode. What this means is that any other operations which operates on...

ENG

This operation enables the engineering format for real numbers on the calculator. The engineering format takes a...

FIX

This operation enables the fixed format for real numbers on the calculator. The fixed format takes a real argument...

LAST

This operation enables or disables the ■Last functionality on the calculator. The...

ML

This operation enables or disables multi-line display for the item at the bottom of the stack. When disabled, the...

This operation puts the calculator in radians mode. What this means is that any other operations which operates on...

RDX,

This operation switches between the "." and the "," character to represent the radix point in numerical output. By...

SCI

This operation enables the scientific format for real numbers on the calculator. The scientific format takes a real...

STD

This operation enables the standard format for real numbers on the calculator. In standard format, a number will...

UNDO

This operation enables or disables the Undo functionality on the calculator. The Undo function allows you to recall...

Operation Description
ACOS

This operation calculates the inverse cosine...

ARG

This function takes a complex argument and returns the angle given the real and imaginary components of that complex...

ASIN

This operation calculates the inverse sine...

ATAN

This operation calculates the inverse tangent...

COS

This operation calculates the cosine function of...

C→R

This function takes a complex value and returns the individual components of that complex value. It pushes the real...

D→R

This function takes a real number which is an angle expressed in degrees and converts it to an angle expressed in...

HMS+

This function takes arguments and returns results which express a time as hours, minutes, seconds and fractions of...

HMS-

This function takes arguments and returns results which express a time as hours, minutes, seconds and fractions of...

HMS→

This function takes a real argument which describes a time as hours, minutes and seconds and converts that time into...

P→R

This function takes a complex value expressed in polar coordinates, a radius and an angle, and returns a complex...

R→C

This function takes two real values and returns a complex value. One real value is used as the real component of...

R→D

This function takes a real number which is an angle expressed in radians and converts it to an angle expressed in...

R→P

This function takes a complex value expressed in rectangular coordinates and returns a complex value expressed in...

SIN

This operation calculates the sine function of...

TAN

This operation calculates the tangent function of...

→HMS

This function takes a real argument which describes a time as hours and fractions of hours (the decimal component)...

Operation Description
ACOSH

This operation calculates the inverse hyperbolic cosine...

ALOG

This operation calculates the reverse base 10 logarithm of its...

ASINH

This operation calculates the inverse hyperbolic sine...

ATANH

This operation calculates the hyperbolic sine...

COSH

This operation calculates the hyperbolic cosine...

EXP

This operation calculates the reverse base e logarithm...

EXPM

This operation calculates the equivalent of (EXP(x) - 1) where x is the the argument...

LN

This operation calculates the natural logarithm (base e)...

LNP1

This operation calculates the equivalent of LN(1 + x) where x is the the argument from...

LOG

This operation calculates the base 10 logarithm of its input...

SINH

This operation calculates the hyperbolic sine...

TANH

This operation calculates the hyperbolic tangent...

Operation Description
ISOL

This operation takes an expression and a symbol. It then searches for that symbol in that expression. The first...

This operation takes an expression and a symbol and finds the root of the expression using the...

RCEQ

This operation looks up the symbol "EQ" in the current directory or one of its parents and pushes the value of that...

ROOT

This operation takes an expression, a symbol to solve for and a real, complex or list of guesses and produces a...

SHOW

This operation takes an expression and a target symbol. It then recursively evaluates the value of each symbol in...

SOLVR

This operation gets the value of EQ from the current directory or one of its parent and goes into a special mode...

STEQ

This operation takes any item from the stack and stores it in the current directory under the symbol "EQ". Normally...

Operation Description
*H

This operation takes a real number from the top of the stack. It then adjusts the plot minimum (see...

*W

This operation takes a real number from the top of the stack. It then adjusts the plot minimum (see...

AXES

This operation takes a complex number from the top of the stack and interprets that complex number as X and Y...

CENTR

This operation takes a complex number from the top of the stack and interprets that complex number as X and Y...

DRAW

This operation will plot the current equation which was specified with the STEQ...

INDEP

This operation takes a symbol from the top of the stack. The symbol specifies the "independent variable" to use...

PMAX

This operation takes a complex number from the top of the stack and interprets that complex number as X and Y...

PMIN

This operation takes a complex number from the top of the stack and interprets that complex number as X and Y...

PPAR

This operation is really just a shortcut for accessing a symbol called "PPAR" from the current directory. The PPAR...

RCEQ

This operation looks up the symbol "EQ" in the current directory or one of its parents and pushes the value of that...

RES

This operation takes a real number from the top of the stack and interprets that number as the "resolution" to use...

STEQ

This operation takes any item from the stack and stores it in the current directory under the symbol "EQ". Normally...

Operation Description
%T

Given Real1 and Real2 from the stack, this function computes 100 * Real2 / Real...

ABS

This function returns the absolute value of its input argument. For a real number input, the result is always a...

CEIL

Given a real valued input, this function returns the smallest integer which is greater than or equal to the input...

FACT

This function returns the factorial of its input parameter. For integer input values greater than or equal to 0,...

FLOOR

Given a real valued input, this function returns the largest integer which is less than or equal to the input value...

FP

This function takes a real value and returns a real value, returning only the fractional component of that input...

IP

This function takes a real value and returns a real value, removing any fractional component of that input value....

MANT

This function returns the mantissa of the input real value. Assuming that the real value is expressed in scientific...

MAX

This function returns the largest of the two real values it takes as input.

MAXR

This operation returns a symbol which represents the largest real value which can be represented on the calculator...

MIN

This function returns the smallest of the two real values it takes as input.

MINR

This operation returns a symbol which represents the smallest real value greater than zero which can be represented...

MOD

This function returns the modulus or remainder of its two real valued inputs.

NEG

Given a real or complex input, this function returns the value of that input multiplied by -1. Given a matrix or...

RAND

This operation takes no input parameters and returns a random real valued result. The value is greater than or...

RDZ

This function takes a real valued random seed for use in future random numbers generated from...

RND

Given the formatting mode for numbers, this function rounds those numbers to the digits displayed, removing any...

SIGN

If given a positive real value, this function returns 1. If the real value is 0, this function returns 0. If this...

XPON

This function returns the exponent of the input real value. Assuming that the real value is expressed in scientific...

Operation Description
ABS

This function returns the absolute value of its input argument. For a real number input, the result is always a...

ARG

This function takes a complex argument and returns the angle given the real and imaginary components of that complex...

CONJ

This function takes a complex value and returns its conjugate value. A conjugate value has the same real component...

C→R

This function takes a complex value and returns the individual components of that complex value. It pushes the real...

IM

This function takes a complex value as input and returns the imaginary component of that complex number. If the...

NEG

Given a real or complex input, this function returns the value of that input multiplied by -1. Given a matrix or...

P→R

This function takes a complex value expressed in polar coordinates, a radius and an angle, and returns a complex...

RE

This function takes a complex value as input and returns the real component of that complex number. If the input...

R→C

This function takes two real values and returns a complex value. One real value is used as the real component of...

R→P

This function takes a complex value expressed in rectangular coordinates and returns a complex value expressed in...

SIGN

If given a positive real value, this function returns 1. If the real value is 0, this function returns 0. If this...

Operation Description
ABS

This function returns the absolute value of its input argument. For a real number input, the result is always a...

ARRY→

This operation takes a vector or matrix and pushes each value within that array followed by a list describing the...

CNRM

This operation calculates the column norm or one-norm...

CON

This operation is used to create an array of constant values. The resulting array will have all values set to the...

CONJ

This function takes a complex value and returns its conjugate value. A conjugate value has the same real component...

CROSS

This operation calculates the cross product of the input...

C→R

This function takes a complex value and returns the individual components of that complex value. It pushes the real...

DET

This operation calculates the determinant of its input...

DOT

This operation calculates the dot product of its arguments....

GET

This operation is used to retrieve an item at a particular index within a list. The list to retrieve from may be...

GETI

This operation is used to retrieve an item at a particular index within a list, vector or matrix. When operating on...

IDN

This operation returns an identity matrix. An identity matrix has values zero in all positions except along the...

IM

This function takes a complex value as input and returns the imaginary component of that complex number. If the...

NEG

Given a real or complex input, this function returns the value of that input multiplied by -1. Given a matrix or...

PUT

This operation is used to replace an item in a list, vector or matrix at a particular index. It can either modify...

PUTI

This operation is used to replace an item in a list, vector or matrix at a particular index. It can either modify a...

RDM

This operation re-dimensions an input vector or matrix according to the size specified by the list. If the list has...

RE

This function takes a complex value as input and returns the real component of that complex number. If the input...

RNRM

This operation calculates the row norm or infinity norm...

RSD

This operation calculates the residual of its inputs which is:

Array1 - Array2...

R→C

This function takes two real values and returns a complex value. One real value is used as the real component of...

SIZE

This operation takes a string, list, vector, matrix or expression argument. In the case of a string, it pushes the...

TRN

This operation returns the transpose of its input array. The input array can be directly on the stack in which case...

→ARRY

This operation is used to create vectors and matrices from multiple values on the stack. If the top of the stack is...

Operation Description
AND

This operation performs a binary and operation on...

ASR

This operation takes an integer from the stack, shifts each bit one...

BIN

This operation puts the calculator in binary mode...

B→R

This operation takes an integer value an converts it to the equivalent real value.

DEC

This operation puts the calculator in decimal mode. Integer...

HEX

This operation puts the calculator in hexadecimal mode....

NOT

This operation performs a binary not operation on...

OCT

This operation puts the calculator in octal mode. Integer values...

OR

This operation performs a binary or operation on its...

RCWS

This operation gets the word size of all integer values on the calculator. It pushes a real value to the stack...

RL

This operation takes an integer from the stack, shifts each bit one...

RLB

This operation takes an integer from the stack, shifts each byte one...

RR

This operation takes an integer from the stack, shifts each bit one...

RRB

This operation takes an integer from the stack, shifts each byte one...

R→B

This operation takes a real number and converts it to an integer value. If the real value is less than 0, then the...

SL

This operation takes an integer from the stack, shifts each bit one...

SLB

This operation takes an integer from the stack, shifts each byte one...

SR

This operation takes an integer from the stack, shifts each bit one...

SRB

This operation takes an integer from the stack, shifts each byte one...

STWS

This operation sets the word size of all integer values on the calculator. It takes a real value, rounds it to the...

XOR

This operation performs a binary xor operation on...

Operation Description
CHR

This operation takes a real value and maps it to a single character which it returns as a string value. The real...

NUM

This operation takes a string value and maps it to a real value. The first character in the string is used to...

POS

This operation is used to find the position of a substring within a string or the position of an item in a list. If...

SIZE

This operation takes a string, list, vector, matrix or expression argument. In the case of a string, it pushes the...

STR→

This operation takes a string from the stack and interprets its contents as though it was just entered and the...

SUB

This operation extracts a substring or a sub-list from a string or a list. If it is provided a string and two real...

→STR

This operation pops one argument from the stack and converts that item into a string. Whatever was displayed on the...

Operation Description
GET

This operation is used to retrieve an item at a particular index within a list. The list to retrieve from may be...

GETI

This operation is used to retrieve an item at a particular index within a list, vector or matrix. When operating on...

LIST→

This operation expects a list at the top of the stack. It then pushes each item from that list into the stack,...

POS

This operation is used to find the position of a substring within a string or the position of an item in a list. If...

PUT

This operation is used to replace an item in a list, vector or matrix at a particular index. It can either modify...

PUTI

This operation is used to replace an item in a list, vector or matrix at a particular index. It can either modify a...

SIZE

This operation takes a string, list, vector, matrix or expression argument. In the case of a string, it pushes the...

SUB

This operation extracts a substring or a sub-list from a string or a list. If it is provided a string and two real...

→LIST

This operation expects a real number at the top of the stack which is the size of the list it should create. Then,...

Operation Description
DEPTH

This operation pushes a real number onto the stack which is the number of items on the stack (not including this new...

DROP2

This operation removes the top two items from the stack.

DROPN

This operation takes a real number from the top of the stack which indicates how many other items should be popped...

DUP

This operation creates a copy of the item at the top of the stack and pushes that copy onto the stack.

Note...

DUP2

This operation makes copies of the top two items on the stack and pushes both copies onto the stack.

DUPN

This operation takes a real number from the top of the stack which indicates how many items from the stack to...

LIST→

This operation expects a list at the top of the stack. It then pushes each item from that list into the stack,...

OVER

This operation creates a copy of the item just below the top of the stack and pushes that item onto the stack.

PICK

This operation takes a real number which references an item on the stack. After popping that real number off of the...

ROLLD

This operation takes a real number from the stack which is the number of items on the stack to roll down. The item...

ROT

This operation rotates the top three items on the stack. In the stack diagram, Item3 was at the top of...

→LIST

This operation expects a real number at the top of the stack which is the size of the list it should create. Then,...

Operation Description
SCONJ

This operation takes a symbol from the stack. It looks for the value of that symbol in the current directory,...

SINV

This operation takes a symbol from the stack. It looks for the value of that symbol in the current directory,...

SNEG

This operation takes a symbol from the stack. It looks for the value of that symbol in the current directory,...

STO*

This operation takes a symbol and another item of just about any numeric type (real, complex, integer or matrix)....

STO+

This operation takes a symbol and another item of just about any numeric type (real, complex, integer or matrix)....

STO-

This operation takes a symbol and another item of just about any numeric type (real, complex, integer or matrix)....

STO/

This operation takes a symbol and another item of just about any numeric type (real, complex, integer or matrix)....

Operation Description
CLUSR

This operation is used to clear all variables and empty directories in the current directory. Any directories which...

CRDIR

This operation takes a symbol and creates a directory with that name in the current directory. Directories are good...

HOME

This operation changes the current directory to the root directory, regardless of where in the symbol hierarchy the...

MEM

This operation pushes the amount of free memory in bytes onto the stack as a real value.

This operation has two different modes. If the top of the stack contains a real number, it uses that real number as...

ORDER

This operation takes a list of symbols and re-orders those symbols in the current directory to match the order in...

PATH

This operation pushes a list onto the stack which contains the set of directories which leads to the current...

VARS

This operation pushes a list onto the stack which contains the set of variables and directories in the current...

Operation Description
ABORT

The ABORT operation can be used within an executing program to halt execution and discard execution state. Because...

ERRM

This operation pushes a string onto the stack which is the error message most recently raised by the calculator....

ERRN

The ERRN operation returns a numerical value which represents the most recently raised error by the calculator....

HALT

This operation should be used only during execution of a program. By placing a HALT operation within a program, you...

KILL

The KILL operation can be used within a program or outside of program execution. When used within a program, it...

SST

This operation will single step the currently HALT-ed program. By placing a HALT at...

WAIT

This operation takes a real number which represents the number of seconds to pause before continuing execution. The...

Operation Description
DO

The DO operation is used to define a loop structure within a program. It is combined with the...

ELSE

This operation is used in conjunction with the IF or IFERR...

END

This operation is used in conjunction with the IF, IFERR...

FOR

The FOR operation is used to define a loop structure within a program. It is combined with the...

IF

The IF operation can be used within program execution context to control the flow of execution through the program...

IFERR

The IFERR operation can be used within program execution context to control the flow of execution through the...

IFT

The IFT operation is an alternative to the IF operation. In this form, IFT pops two...

IFTE

The IFTE operation is an alternative to the IF operation. In this form, IFTE pops three...

NEXT

This operation is used in conjunction with the START or FOR...

REPEAT

This operation is used in conjunction with the WHILE operation. See that page for...

START

The START operation is used to define a loop structure within a program. It is combined with the...

STEP

This operation is used in conjunction with the START or FOR...

THEN

This operation is used in conjunction with the IF or IFERR...

UNTIL

This operation is used in conjunction with the DO operation. See that page for more...

WHILE

The WHILE operation is used to define a loop structure within a program. It is combined with the...

Operation Description
==

This operation produces a 1 if the two arguments are equal, a 0 otherwise. It can operate on real, complex, integer...

AND

This operation performs a binary and operation on...

CF

This operation takes a real value between 1 and 64 and sets the associated flag bit to zero. See...

FC?

This operation takes a real value between 1 and 64 and returns 1 if the associated bit in the calculator flags is 0...

FC?C

This operation takes a real value between 1 and 64 and returns 1 if the associated bit in the calculator flags is 0...

FS?

This operation takes a real value between 1 and 64 and returns 1 if the associated bit in the calculator flags is 1...

FS?C

This operation takes a real value between 1 and 64 and returns 1 if the associated bit in the calculator flags is 1...

NOT

This operation performs a binary not operation on...

OR

This operation performs a binary or operation on its...

RCLF

This operation retrieves the current calculator flags and pushes it as an integer value onto the stack. See...

SAME

This operation takes two items from the stack and pushes a real value which is 1 if the two items are the same,...

SF

This operation takes a real value between 1 and 64 and sets the associated flag bit to one. See...

STOF

This operation takes an integer value from the stack and sets the calculator flags to this value. See...

TYPE

This operation pops an item off the stack and then pushes a real number depending on the type of item it just popped...

XOR

This operation performs a binary xor operation on...

Operation Description
COLCT

The COLCT operation collects terms and factors in order to simplify an expression. It does this by doing the...

EXGET

The EXSUB operation is used to retrieve a portion of an expression. The real argument identifies the subexpression...

EXPAN

The EXPAN operation expands an expression using a series of different strategies:

• If the expression has a...
• EXSUB

The EXSUB operation is used to substitute a portion of an expression with the item from the top of the stack. The...

FORM

This operation takes an expression and allows you to interactively modify that expression in a way that does not...

ISOL

This operation takes an expression and a symbol. It then searches for that symbol in that expression. The first...

OBGET

The OBGET operation is used to retrieve a portion of an expression and return it as an item in a list. The real...

OBSUB

The OBSUB operation is used to substitute a portion of an expression with the contents of a list. The real argument...

This operation takes an expression and a symbol and finds the root of the expression using the...

SHOW

This operation takes an expression and a target symbol. It then recursively evaluates the value of each symbol in...

SIZE

This operation takes a string, list, vector, matrix or expression argument. In the case of a string, it pushes the...

TAYLR

This operation calculates an approximation of the Taylor series...

Operation Description
CL∑

This operation deletes a variable called ∑DAT which normally contains a real matrix of samples used by other...

COL∑

This operation is used to designate the dependent and independent column in the statistics data. Real1...

COMB

This operation calculates the number of combinations given...

CORR

This operation calculates the correlation...

COV

This operation calculates the covariance between the dependent...

LR

This operation calculates the linear regression between...

MAX∑

This operation gets the maximum values from the statistics data. It expects to find a variable called ∑DAT which...

MEAN

This operation calculates the mean of the statistics data...

MIN∑

This operation gets the minimum values from the statistics data. It expects to find a variable called ∑DAT which...

N∑

This operation returns the number of samples in the statistics data. It expects to find a variable called ∑DAT...

PERM

This operation calculates the number of permutations given...

PREDV

This operation predicts a value for the dependent variable given an input value from the independent variable by...

RCL∑

This operation pushes the value stored in the ∑DAT variable onto the stack. If the ∑DAT variable does not exist,...

SDEV

This operation calculates the standard deviation of...

STO∑

This operation takes the item from the top of the stack and stores it into a variable called ∑DAT. If the ∑DAT...

TOT

This operation calculates the total of the statistics data. It expects to find a variable called ∑DAT which has a...

UTPC

This operation calculates the probability given a ...

UTPF

This operation calculates the probability given a F...

UTPN

This operation calculates the probability given a normal...

UTPT

This operation calculates the probability given a ...

VAR

This operation calculates the variance of the statistics data....

∑+

This operation takes a single real value or a single vector or matrix from the stack and adds the value(s) to the ∑...

∑-

This operation removes and returns the last sample from the statistics data. It expects to find a variable called ∑...