How Can I Define Tags Within My Code Using Sow/Reap in Mathematica?

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SUMMARY

The discussion focuses on the use of Sow and Reap functions in Mathematica, specifically addressing the challenge of defining tags within the Reap function. The user initially attempts to define the tag as part of the Reap call, which results in errors. However, it is established that defining the tag outside of the Reap function allows the Sow commands to execute correctly. The Trace function is utilized to analyze the behavior of the code, revealing insights into the execution flow and error messages encountered.

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I am trying to use Sow/Reap in Mathematica to replace Append in my code. The problem is that I need to define the tags within my code, but doing so doesn't reap the desired results. A simplified version of my code is

Code:
Clear[tag];
Reap[tag = {a,b}; Sow[1, a];Sow[2,b];, tag]
However, if I define my tag outside of Reap, then it works

Code:
Clear[tag];
tag = {a,b};
Reap[Sow[1, a];Sow[2,b];, tag]

Any ideas as to how I can define tags within my code?
 
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Trace gives some hints about what is going on

In[1]:= Clear[tag]; Trace[Reap[tag={a,b};Sow[1,a];Sow[2,b];,tag]]

Out[2]= {Reap[tag={a,b};Sow[1,a];Sow[2,b];,tag], {tag={a,b};Sow[1,a];Sow[2,b];,{tag={a,b},{a,b}},{Sow[1,a],{Message[Sow::enclt,a,Sow[1,a]],{Sow::enclt,$Off[Tag `1` in `2` has no matching Reap.]},Null},1},{Sow[2,b],{Message[Sow::enclt,b,Sow[2,b]],{Sow::enclt,$Off[Tag `1` in `2` has no matching Reap.]},Null},2},Null},{Null,{}}}

Now kill the kernel and restart with your alternate code

In[1]:= Clear[tag];tag={a,b}; Trace[Reap[Sow[1,a];Sow[2,b];,tag]]

Out[3]= {{tag,{a,b}},Reap[Sow[1,a];Sow[2,b];,{a,b}],{Sow[1,a];Sow[2,b];,{Sow[1,a],1},{Sow[2,b],2},Null},{Null,{{{1}},{{2}}}}}
 
Trace gives some hints about what is going on

In[1]:= Clear[tag]; Trace[Reap[tag={a,b};Sow[1,a];Sow[2,b];,tag]]

Out[2]= {Reap[tag={a,b};Sow[1,a];Sow[2,b];,tag], {tag={a,b};Sow[1,a];Sow[2,b];,
{tag={a,b},{a,b}},
{Sow[1,a],{Message[Sow::enclt,a,Sow[1,a]],{Sow::enclt,$Off[Tag `1` in `2` has no matching Reap.]},Null},1},
{Sow[2,b],{Message[Sow::enclt,b,Sow[2,b]],{Sow::enclt,$Off[Tag `1` in `2` has no matching Reap.]},Null},2},Null},
{Null,{}}}

Now kill the kernel and restart with your alternate code

In[1]:= Clear[tag];tag={a,b}; Trace[Reap[Sow[1,a];Sow[2,b];,tag]]

Out[3]= {{tag,{a,b}},Reap[Sow[1,a];Sow[2,b];,{a,b}],{Sow[1,a];Sow[2,b];,{Sow[1,a],1},{Sow[2,b],2},Null},
{Null,{{{1}},{{2}}}}}

This is interesting, notice the comma I removed from your nonworking example and the missing warning messages

In[1]:= Clear[tag];Trace[Reap[tag={a,b};Sow[1,a];Sow[2,b];tag]]

Out[2]= {Reap[tag={a,b};Sow[1,a];Sow[2,b];tag],{tag={a,b};
Sow[1,a];Sow[2,b];tag,{tag={a,b},{a,b}},
{Sow[1,a],1},{Sow[2,b],2},{tag,{a,b}},{a,b}},
{{a,b},{{1},{2}}}}

But that raises at least as many questions as your original
 
Last edited:

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