Operations are seperated by newlines (hitting the enter key), and parameters go after the operator seperated by
spaces.
Whitespace before and after a command will be ignored.
Create comments with ".
| Standard | |||
|---|---|---|---|
| operation | description | parameters required | arguments required |
| 10 | places 10/1 on top of the stack -10 also works |
none | none |
| 3/5 | places 3/5 on top of the stack -3/5 also works |
none | none |
| 0.2 | places 1/5 on top of the stack -0.2 also works |
none | none |
| 0.1[6] | places 1/6 on top of the stack -0.1[6] also works |
none | none |
| + | addition | none | 2 rationals |
| matrix addition | none | 2 matrices | |
| - | subtraction | none | 2 rationals |
| * | multiplication | none | 2 rationals |
| scale matrix | none | 1 matrix and 1 rational (order doesn't matter) | |
| matrix multiplication | none | 2 matrices (columns of 1st = rows of 2nd) | |
| / | division | none | 2 rationals |
| int | integer part | none | 1 rational |
| floor | rounds down | none | 1 rational |
| ceil | rounds up | none | 1 rational |
| den | extracts denominator | none | 1 rational |
| % | modulus | none | 2 rationals |
| gcd | greatest common divisor | none | 2 integers (rational with denominator of 1) |
| lcm | lowest common multiple | none | 2 integers (rational with denominator of 1) |
| step | x <= 0 → 0, 0 < x → 1 |
none | 1 rational |
| compare | compares 2 rationals outputing -1, 0, or 1 | none | 2 rationals |
| # | value stack height | none | none |
| [ | in parameters, prepend a [ to use a stack value from bottom (0 is bottom) | it is the parameter | none |
| ] | in parameters, prepend a ] to use a stack value from top (0 is top) | it is the parameter | none |
| >> | copies value at depth | depth to copy (0 is top) | none |
| Stack Manipulation | |||
| operation | description | parameters required | arguments required |
| -> | moves value at depth to the top | depth to pull (0 is top) | none |
| <- | moves top value to depth (inverse of ->) (0 is top) | depth to push | none |
| del | deletes value at depth | depth to delete (0 is top) | none |
| Matrices | |||
| operation | description | parameters required | arguments required |
| m | create matrix | columns, rows | (columns*rows) rationals |
| addRow | adds a scaled copy of one row to another | row from, row to (0 is first row) | 1 matrix and 1 rational (order doesn't matter) |
| scaleRow | scales a row of a matrix by a rational | row number (0 is first row) | 1 matrix and 1 rational (order doesn't matter) |
| swapRows | swaps 2 rows of a matrix | 2 rows to swap (0 is first row) | 1 matrix |
| T | transposes a matrix | none | 1 matrix |
| inv | inverses a matrix | none | 1 matrix |
| inverses a rational | none | 1 rational | |
| ref | does gaussian elimination | none | 1 matrix |
| ind | pushes index to stack | column, row (0 is first row/column) | 1 matrix (stays) |
| rip | rips the last column off a matrix | none | 1 matrix |
| flip | flips the columns of a matrix | none | 1 matrix |
| dim | dimensions of matrix | none | 1 matrix (stays) |
| dot | dot product of 2 vectors | none | 2 matrices (1 column, same size) |
| hadamard | hadamard product | none | 2 matrices (same size) |
| kronecker | kronecker product | none | 2 matrices |
| outer | outer product | none | 2 matrices (1 column) |
| Loops | |||
| operation | description | parameters required | arguments required |
| jmp | jumps forwards or backwards in instructions | distance to jump | none |
| repeat | adds a new loop to the repeat pile | number of loops | none |
| next | does next iteration of top repeat | none | none |
| >>> | copy iteration of loop | loop depth to copy | none |
| break | breaks out of top loop | none | none |
| leap | a combination of break and jmp | distance to jump after break | none |
| Auxillary Manipulation | |||
| operation | description | parameters required | arguments required |
| hold | remembers a rational or matrix for later, overriding any existing value | name of value | 1 rational or matrix (stays) |
| lose | forgets a stored value, does nothing if it doesn't exist | name to forget | none |
| place | copies stored value to stack | name of value to place | none |
| exists | place 1 or 0 if a value exists | name to check | none |
| $ | in parameters, prepend a $ to use an auxillary value | it is the parameter | none |