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If I have a geoalgorithm in my model and I want the value from one the parameters, then how can I get it? For example I want the layer name in the parameter layer in below figure so I get the value Pts1.

enter image description here

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    Is the layer name hard-coded into your model or is it one of the inputs of the model? – underdark Dec 25 '15 at 21:52
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Don't think you could do this directly through the modeler but you could create a custom script which, when run can simulate a model, allows you to fetch the name of the layer and use it for processing.

The following script uses the Field Calculator tool which creates a new field with the layer name and populates the values with the layer name (the python command is layer.name()):

##Fetch layer name=name
##Layer=vector
##Result=output vector

layer = processing.getObject(Layer)  
processing.runalg("qgis:fieldcalculator", Layer, layer.name(), 2, 99, 0, True, "'" + layer.name() + "'", Result)

Script interface

Results of script

You can have a look at the documentation on how to create scripts and call various functions and their associated parameters:

Using processing algorithms from the console

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