Materials Algorithms Project Utilities: Subroutines Library

A library of SUBROUTINES providing a range of general purpose utilities.

Format of documentation within this library.

Subroutines Available

A

MAP_UTIL_ANALY

A linear regression subroutine which determines the intercept and gradient of the best fit line between two variables, together with the correlation coefficient.

Language: FORTRAN

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B

MAP_UTIL_BOUND

This subroutine writes out an error message when an input variable is out of bounds and then requests a new value.

Language: FORTRAN

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C

MAP_UTIL_CROSS

Takes a vector cross product and converts all vectors to real space.

Language: FORTRAN

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D

MAP_UTIL_DET

Calculates the determinant of a 3x3 matrix.

Language: FORTRAN

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E

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F

MAP_UTIL_FDHEAT

Model of the  induction heating and water spray quenching of a plate or cylinder of steel. The heat flow equation is integrated numerically using the Crank-Nicholson method.

Language: FORTRAN

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G

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H

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IJ

MAP_UTIL_INDHEAT

Simplified model of the  induction heating and water spray quenching of a plate of steel. The heat flow equation had been integrated analytically and this program evaluates the solved equations for different heat inputs.

Language: FORTRAN

MAP_UTIL_INVERS

Calculates the inverse of a 3x3 matrix (held in a vector form).

Language: FORTRAN

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K

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L

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M

MAP_UTIL_MAGG

Calculates the inverse of the magnitude of the product of two vectors. The second vector is formed by a matrix transformation on the first vector.

Language: FORTRAN

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N

MAP_UTIL_NORM

Normalises a three dimensional vector.

Language: FORTRAN

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O

MAP_UTIL_ODD

Tests if a number is odd or even.

Language: FORTRAN

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PQ

MAP_UTIL_POLY

Calculates a least squares fit of a second order polynomial to an (x,y) data set.

Language: FORTRAN

MAP_UTIL_PROD

Calculates the product of two 3x3 matrices.

Language: FORTRAN

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R

MAP_UTIL_REED

Traps typing errors in real data input.

Language: FORTRAN

MAP_UTIL_REEDI

Traps typing errors in integer data input.

Language: FORTRAN

MAP_UTIL_ROT

Calculates a three dimensional rotation matrix.

Language: FORTRAN

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S

MAP_UTIL_SORT3

Sorts the elements of a two dimensional array.

Language: FORTRAN

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T

MAP_UTIL_TRANS

Multiplies a 3x3 matrix by a 3-d column vector.

Language: FORTRAN

MAP_UTIL_TRANS2

Multiplies a 3-d row vector by a 3x3 matrix.

Language: FORTRAN

MAP_UTIL_TRAPE

Integrates a function which is specified numerically using a trapezoidal rule.

Language: FORTRAN

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UVW

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XYZ

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