# Software documentation

# Software documentation

Nomographs of PyNomo are constructed by writing a python script that defines the nomograph and calls class Nomographer to build the nomograph.

Nomograph is constructed by defining axis parameters that are used to build a block. Many blocks are possibly aligned with each other and construct the nomograph.

A simple example of pseudocode of typical PyNomo structure is the following:

from pynomo.nomographer import * # this loads the needed pynomo class # define block 1 axis_params_1_for_block_1 = {...} axis_params_2_for_block_1 = {...} axis_params_3_for_block_1 = {...} block_1 = {...} # define block 2 axis_params_1_for_block_2 = {...} axis_params_2_for_block_2 = {...} axis_params_3_for_block_2 = {...} block_2 = {...} # define nomograph main_params={ 'filename':'filename_of_nomograph.pdf', # filename of output 'block_params':[block_1,block_2], # the blocks make the nomograph 'transformations':[('scale paper',)], # these make (projective) transformations for the canves } # create nomograph Nomographer(main_params)

It is to be noted that nomograph is defined as python dicts that constitute one dict that is passed to Nomographer class.

## Basic blocks

The following blocks are the core of PyNomo. These are used as easy building blocks for nomograph construction. If these do not suffice one can build as complex nomograph as one wishes by using determinants in type 9.

Type 1 | [math]F_1(u_1)+F_2(u_2)+F_3(u_3)=0 \,[/math] | Three parallel lines |

Type 2 | [math]F_1(u_1)=F_2(u_2) F_3(u_3) \,[/math] | "N" or "Z" |

Type 3 | [math]F_1(u_1)+F_2(u_2)+\cdots+F_N(u_N)=0 [/math] | N parallel lines |

Type 4 | [math]\frac{F_1(u_1)}{F_2(u_2)}=\frac{F_3(u_3)}{F_4(u_4)} [/math] | "Proportion" |

Type 5 | [math]F_1(v) = F_2(x,u). \,[/math] | "Contour" |

Type 6 | [math]u=u \,[/math] | "Ladder" |

Type 7 | [math]\frac{1}{F_1(u_1)}+\frac{1}{F_2(u_2)}=\frac{1}{F_3(u_3)} \,[/math] | "Angle" |

Type 8 | [math] y = {F(u)} \,[/math] | "Single" |

Type 9 | [math] \begin{vmatrix} F_1(u_1[,v_1]) & G_1(u_1[,v_1]) & H_1(u_1[,v_1]) \\ F_2(u_2[,v_2]) & G_2(u_2[,v_2]) & H_2(u_2[,v_2]) \\ F_3(u_3[,v_3]) & G_3(u_3[,v_3]) & H_3(u_3[,v_3]) \end{vmatrix} = 0[/math] | "General determinant" |

Type 10 | [math] F_1(u)+F_2(v)F_3(w)+F_4(w)=0 \,[/math] | One curved line |

## Axes

Defining axes and their appearance is major work in nomograph construction. Different possibilities are illustrated in examples of axes parameters.

## Combination of blocks

If a nomograph consists of many equations that are aligned, a compound nomograph is constructed.

## Transformations

Scales shall be transformed in order to tune the appearance.

## Manual

Article *"Creating Nomograms with the PyNomo Software"* by Ron Doerfler is a detailed manual for using PyNomo.