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Scripts >> Mathematics

Script	Author
arab2roman Constructs a Roman numeric representation of a given integer (which should be typed as a real, not a string) between 1 and 3,999,999.	By Daniel January 11, 2009
dec2hex Returns a hexadecimal string representation of some integer (which should be given as a real, not a string).	By Daniel January 11, 2009
decimal2fraction Converts a decimal number into a fraction (represented as a string)	By Daniel December 24, 2008
draw_piechart Draws a pie chart illustrating the given list of data. The list does not need to be normalized; this is done automatically. Note that this function only draws the shape of the chart, not the labels....	By Daniel December 27, 2008
ds_list_max Returns the largest real in a list of reals	By Daniel December 26, 2008
ds_list_min Returns the smallest real in a list of reals	By Daniel December 26, 2008
ds_list_normalize Normalizes a list of reals so that all the entries add up to 1	By Daniel January 3, 2009
ds_list_subset_can_sum Tests whether some subset of the given list has a given sum. The algorithm is fast with small (target) sums, but slow with larger ones.	By Daniel January 4, 2009
ds_list_sum Sums the entries in a list of reals	By Daniel December 26, 2008
factorial Computes the factorial of some number iteratively, avoid the overhead of recursion	By Daniel December 25, 2008
fibonacci Computes the n'th number of the fibonacci sequence iteratively, taking O(n) time. This is accurate up to n=78.	By Daniel January 1, 2009
fibonacci Computes the n'th number in the fibonacci sequence. This is faster than the iterative method, but loses precision more quickly, making it accurate up to n=75....	By Daniel January 1, 2009
get_bit Extracts one bit from some number n. bit=0 indicates the least significant bit (worth 1, usually written on the far right), bit=1 indicates the next (worth 2), and so forth; in...	By Daniel January 4, 2009
is_even Return whether some number is in the set of even numbers: {.., -4, -2, 0, 2, 4, ..}	By Daniel January 6, 2009
is_odd Returns whether some number is in the set of odd numbers: {.., -3, -1, 1, 3, ..}	By Daniel January 6, 2009
is_power Tests whether n is a power of base; more precisely, whether there exists some power p such that base^p = n.	By Daniel December 26, 2008
is_prime A general primality test	By Daniel January 5, 2009
line_intersects_line Tests whether the line (NOT line segment) running from (x1, y1) to (x2, y2) intersects the line running from (x3, y3) to (x4, y4).	By Daniel January 12, 2009
matrix_determinant Returns the determinant of some square matrix M using the recursive method. M should be a ds_grid filled with real entries.	By Daniel January 1, 2009
matrix_exponential Returns the exponential of some square matrix M. This should both a ds_grid filled with real entries. This script uses the simple optimization of M^(2n) = (M^n)*(M^n), so it consumes O(log n) time....	By Daniel January 1, 2009
matrix_identity Returns an identity matrix with the given dimension	By Daniel January 1, 2009
matrix_is_diagonal Returns whether some square matrix M is a diagonal matrix. M should be a ds_grid filled with real entries.	By Daniel January 1, 2009
matrix_is_lower_triangular Returns whether some square matrix M is a lower triangular matrix. M should be a ds_grid filled with real entries.	By Daniel January 1, 2009
matrix_is_symmetric Returns the whether some matrix M is symmetric, i.e., equivalent to its transpose. M should be a ds_grid filled with real entries.	By Daniel January 1, 2009
matrix_is_upper_triangular Returns whether some square matrix M is an upper triangular matrix. M should be a ds_grid filled with real entries.	By Daniel January 1, 2009
matrix_product Returns the matrix product of M1 and M2. These should both be ds_grids filled with real entries. This script uses the simple O(n^3) technique.	By Daniel January 1, 2009
matrix_scale Returns a scaled transformation of some matrix M. This should be a ds_grid filled with real entries.	By Daniel January 1, 2009
matrix_sum Returns the sum of two matrices. These should both be ds_grids filled with real entries.	By Daniel January 1, 2009
matrix_transpose Returns the transpose of some matrix M. This should be a ds_grid filled with real entries.	By Daniel January 1, 2009
mod_alt GML's modulo operator is implemented in such a way that the result always has the same sign as the dividend. For example, (-7 mod 2) evaluates to -1. This script implements the...	By Daniel January 9, 2009
num_divisors Computes how many unique natural numbers divide evenly into the argument	By Daniel December 26, 2008
parseInt Parse a numeric string in some specified base and the quantity as an integer	By Daniel March 21, 2009
random_integer Generates a random integer between min and max, inclusive	By Daniel December 25, 2008
set_bit Returns a modified version of n with some specified bit set to val. bit=0 indicates the least significant bit (worth 1, usually written on the far right), bit=1 indicates the next...	By Daniel January 4, 2009
toString Generates a string representation of an integer using the specified base	By Daniel March 21, 2009

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