ALGOL 68 - Numerical Algorithm Library: Difference between revisions

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Line 1: The best way to do "number crunching" in Algol 68 is to link to the [[wp:GNU Scientific Library\|GNU Scientific Library]]. An interface to GSL is built in to [[~~Algol~~ALGOL 68G]]. However historically Algol 68 also had available the [[wp:NAG Numerical Libraries\|NAG Numerical Libraries]]. == NAG - Numerical Algorithm Group Library == The chapters in the [[Algol 68]] Mark 3 Library - with Rosettacode equivalents. * A02: [[wp:Complex number\|Complex Arithmetic]] - [[Arithmetic/Complex#ALGOL 68\|Arithmetic/Complex]] & [[Roots of unity#ALGOL 68\|Roots of unity]] Line 10: * C06: [[wp:Summation\|Summation]] of [[wp:Series (mathematics)\|Series]] - None * D01: [[wp:Numerical integration\|Quadrature]] - [[Numerical integration#ALGOL 68\|Numerical integration]] * D02: [[wp:Ordinary Differential Equations\|Ordinary Differential Equations]] - None * D04: [[wp:Numerical differentiation\|Numerical Differentiation]] - None * D05: [[wp:Integral equation\|Integral Equations]] - None Line 21: * F04: [[wp:System of linear equations\|Simultaneous Linear Equations]] - [[Reduced row echelon form#ALGOL 68\|Reduced row echelon form]] * F05: [[wp:Orthogonalization\|Orthogonalisation]] - None * G01: Simple Calculations and Statistical Data - [[Arithmetic evaluation#ALGOL 68\|Arithmetic evaluation]], [[Arithmetic/Integer#ALGOL 68\|Arithmetic/Integer]], [[Arithmetic/Rational#ALGOL 68\|Arithmetic/Rational]], [[Averages/Pythagorean means#ALGOL 68\|Averages/Pythagorean means]], [[Averages/Root mean square#ALGOL 68\|Averages/Root mean square]], [[Averages/Simple moving average#ALGOL 68\|Averages/Simple moving average]], [[Bitwise operations#ALGOL 68\|Bitwise operations]][[Array Initialization#ALGOL 68\|Array Initialization]], [[Combinations#ALGOL 68\|Combinations]], [[Creating an Array#ALGOL 68\|Creating an Array]], [[Exponentiation operator#ALGOL 68\|Exponentiation operator]], [[Factorial#ALGOL 68\|Factorial]], [[Factors of a Mersenne number#ALGOL 68\|Factors of a Mersenne number]], [[Fibonacci sequence#ALGOL 68\|Fibonacci sequence~~]], [[Gamma function#ALGOL 68\|Gamma function~~]], [[Greatest common divisor#ALGOL 68\|Greatest common divisor]], [[Integer comparison#ALGOL 68\|Integer comparison]], [[Miller-Rabin primality test#ALGOL 68\|Miller-Rabin primality test]], [[Non-decimal radices/Convert#ALGOL 68\|Non-decimal radices/Convert]], [[Non-decimal radices/Output#ALGOL 68\|Non-decimal radices/Output]], [[Perfect numbers#ALGOL 68\|Perfect numbers]], [[Primality by trial division#ALGOL 68\|Primality by trial division]], [[Prime decomposition#ALGOL 68\|Prime decomposition]], & [[Seven-sided dice from five-sided dice#ALGOL 68\|Seven-sided dice from five-sided dice~~]], [[Standard deviation#ALGOL 68\|Standard deviation]] & [[Trigonometric functions#ALGOL 68\|Trigonometric functions~~]] * G02: [[wp:Random Number Generators\|Random Number Generators]] - [[Monte Carlo methods#ALGOL 68\|Monte Carlo methods]] & [[Random numbers#ALGOL 68\|Random numbers]] * G05: [[wp:Correlation\|Correlation]]s and [[wp:Regression Analysis\|Regression Analysis]] - [[Polynomial regression#ALGOL 68\|Polynomial regression]] Line 27: * M01: [[wp:Sorting\|Sorting]] - [[Binary search#ALGOL 68\|Binary search]], [[Sort an integer array#ALGOL 68\|Sort an integer array]], [[Sorting algorithms/Bogosort#ALGOL 68\|Sorting algorithms/Bogosort]], [[Sorting algorithms/Bubble sort#ALGOL 68\|Sorting algorithms/Bubble sort]], [[Sorting algorithms/Cocktail sort#ALGOL 68\|Sorting algorithms/Cocktail sort]], [[Sorting algorithms/Counting sort#ALGOL 68\|Sorting algorithms/Counting sort]], [[Sorting algorithms/Gnome sort#ALGOL 68\|Sorting algorithms/Gnome sort]], [[Sorting algorithms/Insertion sort#ALGOL 68\|Sorting algorithms/Insertion sort]], [[Sorting algorithms/Merge sort#ALGOL 68\|Sorting algorithms/Merge sort]], [[Sorting algorithms/Selection sort#ALGOL 68\|Sorting algorithms/Selection sort]] & [[Sorting algorithms/Shell sort#ALGOL 68\|Sorting algorithms/Shell sort]] * P01: [[wp:Exception handling\|Error Trapping]] - [[Assertions#ALGOL 68\|Assertions]], [[Detect division by zero#ALGOL 68\|Detect division by zero]], [[Exceptions#ALGOL 68\|Exceptions]] & [[Exceptions/Catch an exception thrown in a nested call#ALGOL 68\|Exceptions/Catch an exception thrown in a nested call]] * S: [[wp:Approximation algorithm\|Approximations]] of [[wp:Special functions\|Special Functions]] - ~~None~~[[Gamma function#ALGOL 68\|Gamma function]], [[Standard deviation#ALGOL 68\|Standard deviation]] & [[Trigonometric functions#ALGOL 68\|Trigonometric functions]] * T01: [[wp:Vector\|Vector]] and [[wp:Matrix multiplication\|Matrix Operations]] - [[Matrix-exponentiation operator#ALGOL 68\|Matrix-exponentiation operator]], [[Matrix multiplication#ALGOL 68\|Matrix multiplication]] & [[Matrix transposition#ALGOL 68\|Matrix transposition]] * X02: [[wp:Machine epsilon\|Machine Constants]] - [[Boolean values#ALGOL 68\|Boolean values]], [[Infinity#ALGOL 68\|Infinity]], [[Literals/Integer#ALGOL 68\|Literals/Integer]] & [[Real constants and functions#ALGOL 68\|Real constants and functions]] * X03: [[wp:Inner products\|Inner Products]] - [[Jensen's Device#ALGOL 68\|Jensen's Device]], [[Sum and product of an array#ALGOL 68\|Sum and product of an array]], [[Sum of a series#ALGOL 68\|Sum of a series]] & [[Sum of squares#ALGOL 68\|Sum of squares]] Algol 68 Platforms supported [[wp:CDC 7600\|CDC 7600]]/[[wp:CDC Cyber\|CYBER]] ([[CDC ALGOL 68]]), [[wp:IBM 360\|IBM 360]]/370/AMDAHL ([[FLACC]] [[ALGOL 68]]), [[wp:ICL 1900\|ICL 1900]] ([[ALGOL 68R]]), ICL 1906A/S ([[ALGOL 68R]]) & ICL 2900(8) ([[ALGOL 68RS]]) and [[wp:Telefunken\|Telefunken]] [[TR440]] ([[ALGOL 68C]])