>>> from unitats import calcula_canvi_unitats

>>> prefixos = {
...   'd': 1e-1,
...   'c': 1e-2,
...   'm': 1e-3,
...   'da': 1e1,
...   'h': 1e2,
...   'k': 1e3,
... }

>>> eps = 1e-6

La unitat de referència és cm³

>>> cu = calcula_canvi_unitats('m³', 3, 1e6, prefixos)
>>> ru = {
...   'm³': 1e6,
...   'dam³': 1e9,
...   'hm³': 1e12,
...   'km³': 1e15,
...   'dm³': 1e3,
...   'cm³': 1,
...   'mm³': 1e-3,
... }

ru == cu amb tolerància eps en cada unitat

>>> if any(map(lambda x: abs(cu[x] - ru[x]) >= eps, ru)): print(cu) # doctesttag: +TAG=1_unitats

>>> cu = calcula_canvi_unitats('l', 1, 1e3, prefixos)
>>> ru = {
...   'l': 1e3,
...   'dal': 1e4,
...   'hl': 1e5,
...   'kl': 1e6,
...   'dl': 1e2,
...   'cl': 1e1,
...   'ml': 1,
... }
>>> if any(map(lambda x: abs(cu[x] - ru[x]) >= eps, ru)): print(cu) # doctesttag: +TAG=1_unitats

La unitat de referència és mm²

>>> cu = calcula_canvi_unitats('m²', 2, 1e6, prefixos)
>>> ru = {
...   'm²': 1e6,
...   'dam²': 1e8,
...   'hm²': 1e10,
...   'km²': 1e12,
...   'dm²': 1e4,
...   'cm²': 1e2,
...   'mm²': 1,
... }
>>> if any(map(lambda x: abs(cu[x] - ru[x]) >= eps, ru)): print(cu) # doctesttag: +TAG=1_unitats

La unitat de referència és m

>>> cu = calcula_canvi_unitats('m', 1, 1, prefixos)
>>> ru = {
...   'm': 1,
...   'dam': 1e1,
...   'hm': 1e2,
...   'km': 1e3,
...   'dm': 1e-1,
...   'cm': 1e-2,
...   'mm': 1e-3,
... }
>>> if any(map(lambda x: abs(cu[x] - ru[x]) >= eps, ru)): print(cu) # doctesttag: +TAG=1_unitats

La unitat de referència és mi (milles)

>>> cu = calcula_canvi_unitats('m', 1, 1/1609.344, prefixos)
>>> ru = {
...   'm': 0.0006213711922373339,
...   'dm': 6.213711922373339e-05,
...   'cm': 6.213711922373339e-06,
...   'mm': 6.21371192237334e-07,
...   'dam': 0.006213711922373339,
...   'hm': 0.06213711922373339,
...   'km': 0.621371192237334
...   }
>>> if any(map(lambda x: abs(cu[x] - ru[x]) >= eps, ru)): print(cu) # doctesttag: +TAG=1_unitats

La unitat de referència és ha

>>> cu = calcula_canvi_unitats('m²', 2, 1e-4, prefixos)
>>> ru = {
...   'm²': 0.0001,
...   'dm²': 1e-06,
...   'cm²': 1e-08,
...   'mm²': 1e-10,
...   'dam²': 0.01,
...   'hm²': 1.0,
...   'km²': 100.0
... }
>>> if any(map(lambda x: abs(cu[x] - ru[x]) >= eps, ru)): print(cu) # doctesttag: +TAG=1_unitats


>>> import os
>>> from correus_e import filtra_capcalera

>>> text = """\
... Received: from x.y.test
...    by example.net
...    via TCP
...    with ESMTP
...    id ABC12345
...    for <mary@example.net>;  21 Nov 1997 10:05:43 -0600
... Received: from node.example by x.y.test; 21 Nov 1997 10:01:22 -0600
... From: John Doe <jdoe@node.example>
... To: Mary Smith <mary@example.net>
... Subject: Saying Hello
... Date: Fri, 21 Nov 1997 09:55:06 -0600
... Message-ID: <1234@local.node.example>
... 
... This is a message just to say hello.
... So, "Hello".
... """
>>> nf = 'correu-1.txt'
>>> with open(nf, 'w') as f: r = f.write(text)

>>> nfc = 'correu-1.txt'
>>> camps = ['Received', 'To']
>>> nff = 'filtrat-1.txt'
>>> filtra_capcalera(nfc, camps, nff)
>>> with open(nff, 'r') as f: print(f.read()) # doctesttag: +NORMALIZE_WHITESPACE +TAG=2_correus_e
Received: from x.y.test
   by example.net
   via TCP
   with ESMTP
   id ABC12345
   for <mary@example.net>;  21 Nov 1997 10:05:43 -0600
Received: from node.example by x.y.test; 21 Nov 1997 10:01:22 -0600
To: Mary Smith <mary@example.net>
>>> try:
...     os.remove(nff)
... except FileNotFoundError:
...     pass


>>> nfc = 'correu-1.txt'
>>> camps = ['Message-ID', 'From', 'Subject']
>>> nff = 'filtrat-1.txt'
>>> filtra_capcalera(nfc, camps, nff)
>>> with open(nff, 'r') as f: print(f.read()) # doctesttag: +NORMALIZE_WHITESPACE +TAG=2_correus_e
From: John Doe <jdoe@node.example>
Subject: Saying Hello
Message-ID: <1234@local.node.example>
>>> try:
...     os.remove(nff)
... except FileNotFoundError:
...     pass

>>> nfc = 'correu-1.txt'
>>> camps = ['Date']
>>> nff = 'filtrat-1.txt'
>>> filtra_capcalera(nfc, camps, nff)
>>> with open(nff, 'r') as f: print(f.read()) # doctesttag: +NORMALIZE_WHITESPACE +TAG=2_correus_e
Date: Fri, 21 Nov 1997 09:55:06 -0600
>>> try:
...     os.remove(nff)
... except FileNotFoundError:
...     pass

>>> nfc = 'correu-1.txt'
>>> camps = []
>>> nff = 'filtrat-1.txt'
>>> filtra_capcalera(nfc, camps, nff)
>>> with open(nff, 'r') as f: print(f.read()) # doctesttag: +NORMALIZE_WHITESPACE +TAG=2_correus_e
>>> try:
...     os.remove(nff)
... except FileNotFoundError:
...     pass


>>> text = """\
... From: Pete(A nice \) chap) <pete(his account)@silly.test(his host)>
... To: A Group(Some people)
...      :Chris Jones <c@(Chris's host.)public.example>,
...          joe@example.org,
...   John <jdoe@one.test> (my dear friend); (the end of the group)
... Cc: (Empty list)(start)Hidden recipients  :(nobody(that I know))  ;
... Date: Thu,
...       13
...         Feb
...           1969
...       23:32
...                -0330 (Newfoundland Time)
... Message-ID:              <testabcd.1234@silly.test>
... 
... Testing.
... """
>>> nfc = 'correu-2.txt'
>>> with open(nfc, 'w') as f: r = f.write(text)
>>> nff = 'filtrat-2.txt'

>>> camps = ['Date', 'From', 'Subject']
>>> filtra_capcalera(nfc, camps, nff)
>>> with open(nff, 'r') as f: print(f.read()) # doctesttag: +NORMALIZE_WHITESPACE +TAG=2_correus_e
From: Pete(A nice \) chap) <pete(his account)@silly.test(his host)>
Date: Thu,
      13
        Feb
          1969
      23:32
               -0330 (Newfoundland Time)
>>> try:
...     os.remove(nff)
... except FileNotFoundError:
...     pass

>>> camps = ['Cc', 'Message-ID', 'To']
>>> filtra_capcalera(nfc, camps, nff)
>>> with open(nff, 'r') as f: print(f.read()) # doctesttag: +NORMALIZE_WHITESPACE +TAG=2_correus_e
To: A Group(Some people)
     :Chris Jones <c@(Chris's host.)public.example>,
         joe@example.org,
  John <jdoe@one.test> (my dear friend); (the end of the group)
Cc: (Empty list)(start)Hidden recipients  :(nobody(that I know))  ;
Message-ID:              <testabcd.1234@silly.test>
>>> try:
...     os.remove(nff)
... except FileNotFoundError:
...     pass



>>> text = """\
... Received: from x.y.test
... Received: from node.example by x.y.test; 21 Nov 1997 10:01:22 -0600
... From: John Doe <jdoe@node.example>
... To: Mary Smith <mary@example.net>
... Subject: Saying Hello
... Date: Fri, 21 Nov 1997 09:55:06 -0600
... Message-ID: <1234@local.node.example>
... """
>>> nf = 'correu-1.txt'
>>> with open(nf, 'w') as f: r = f.write(text)

>>> nfc = 'correu-1.txt'
>>> camps = ['Received', 'To']
>>> nff = 'filtrat-1.txt'
>>> filtra_capcalera(nfc, camps, nff)
>>> with open(nff, 'r') as f: print(f.read()) # doctesttag: +NORMALIZE_WHITESPACE +TAG=2_correus_e
Received: from x.y.test
Received: from node.example by x.y.test; 21 Nov 1997 10:01:22 -0600
To: Mary Smith <mary@example.net>
>>> try:
...     os.remove(nff)
... except FileNotFoundError:
...     pass


>>> nfc = 'correu-1.txt'
>>> camps = ['Message-ID', 'From', 'Subject']
>>> nff = 'filtrat-1.txt'
>>> filtra_capcalera(nfc, camps, nff)
>>> with open(nff, 'r') as f: print(f.read()) # doctesttag: +NORMALIZE_WHITESPACE +TAG=2_correus_e
From: John Doe <jdoe@node.example>
Subject: Saying Hello
Message-ID: <1234@local.node.example>
>>> try:
...     os.remove(nff)
... except FileNotFoundError:
...     pass

>>> nfc = 'correu-1.txt'
>>> camps = ['Date']
>>> nff = 'filtrat-1.txt'
>>> filtra_capcalera(nfc, camps, nff)
>>> with open(nff, 'r') as f: print(f.read()) # doctesttag: +NORMALIZE_WHITESPACE +TAG=2_correus_e
Date: Fri, 21 Nov 1997 09:55:06 -0600
>>> try:
...     os.remove(nff)
... except FileNotFoundError:
...     pass

>>> nfc = 'correu-1.txt'
>>> camps = []
>>> nff = 'filtrat-1.txt'
>>> filtra_capcalera(nfc, camps, nff)
>>> with open(nff, 'r') as f: print(f.read()) # doctesttag: +NORMALIZE_WHITESPACE +TAG=2_correus_e
>>> try:
...     os.remove(nff)
... except FileNotFoundError:
...     pass


>>> text = """\
... From: Pete(A nice \) chap) <pete(his account)@silly.test(his host)>
... To: A Group(Some people)
... Cc: (Empty list)(start)Hidden recipients  :(nobody(that I know))  ;
... Date: Thu,
... Message-ID:              <testabcd.1234@silly.test>
... """
>>> nfc = 'correu-2.txt'
>>> with open(nfc, 'w') as f: r = f.write(text)
>>> nff = 'filtrat-2.txt'

>>> camps = ['Date', 'From', 'Subject']
>>> filtra_capcalera(nfc, camps, nff)
>>> with open(nff, 'r') as f: print(f.read()) # doctesttag: +NORMALIZE_WHITESPACE +TAG=2_correus_e
From: Pete(A nice \) chap) <pete(his account)@silly.test(his host)>
Date: Thu,
>>> try:
...     os.remove(nff)
... except FileNotFoundError:
...     pass

>>> camps = ['Cc', 'Message-ID', 'To']
>>> filtra_capcalera(nfc, camps, nff)
>>> with open(nff, 'r') as f: print(f.read()) # doctesttag: +NORMALIZE_WHITESPACE +TAG=2_correus_e
To: A Group(Some people)
Cc: (Empty list)(start)Hidden recipients  :(nobody(that I know))  ;
Message-ID:              <testabcd.1234@silly.test>
>>> try:
...     os.remove(nff)
... except FileNotFoundError:
...     pass




>>> import math
>>> from series_trigo import quants_termes

>> from series_trigo import n_termes

---- inici

>>> eps = 1e-5
>>> a = 0.1
>>> n = quants_termes(a, eps)
>>> n # doctesttag: +TAG=3_series_trigo
353

---- fi

>> lt = n_termes(a, n)
>> limit = (math.pi - 2*a)/4
>> abs(sum(lt) - limit) < eps and abs(sum(lt[:-1]) - limit) >= eps
True

>>> eps = 1e-4
>>> a = math.pi - 0.1
>>> n = quants_termes(a, eps)
>>> n # doctesttag: +TAG=3_series_trigo
196

>> lt = n_termes(a, n)
>> limit = (math.pi - 2*a)/4
>> abs(sum(lt) - limit) < eps and abs(sum(lt[:-1]) - limit) >= eps
True

>>> eps = 1e-6
>>> a = 0.2
>>> n = quants_termes(a, eps)
>>> n # doctesttag: +TAG=3_series_trigo
1425

>> lt = n_termes(a, n)
>> limit = (math.pi - 2*a)/4
>> abs(sum(lt) - limit) < eps and abs(sum(lt[:-1]) - limit) >= eps
True

>>> eps = 1e-3
>>> a = 0.3
>>> n = quants_termes(a, eps)
>>> n # doctesttag: +TAG=3_series_trigo
18

>> lt = n_termes(a, n)
>> limit = (math.pi - 2*a)/4
>> abs(sum(lt) - limit) < eps and abs(sum(lt[:-1]) - limit) >= eps
True

>>> eps = 1e-5
>>> a = 1
>>> n = quants_termes(a, eps)
>>> n # doctesttag: +TAG=3_series_trigo
349

>> lt = n_termes(a, n)
>> limit = (math.pi - 2*a)/4
>> abs(sum(lt) - limit) < eps and abs(sum(lt[:-1]) - limit) >= eps
True

>>> eps = 1e-6
>>> a = 2
>>> n = quants_termes(a, eps)
>>> n # doctesttag: +TAG=3_series_trigo
1328

>> lt = n_termes(a, n)
>> limit = (math.pi - 2*a)/4
>> abs(sum(lt) - limit) < eps and abs(sum(lt[:-1]) - limit) >= eps
True

>>> eps = 1e-4
>>> a = math.pi/2 + 1e-2
>>> n = quants_termes(a, eps)
>>> n # doctesttag: +TAG=3_series_trigo
154

>> lt = n_termes(a, n)
>> limit = (math.pi - 2*a)/4
>> abs(sum(lt) - limit) < eps # and abs(sum(lt[:-1]) - limit) >= eps
True

>>> eps = 1e-5
>>> a = 2.5
>>> n = quants_termes(a, eps)
>>> n # doctesttag: +TAG=3_series_trigo
177

>> lt = n_termes(a, n)
>> limit = (math.pi - 2*a)/4
>> abs(sum(lt) - limit) < eps and abs(sum(lt[:-1]) - limit) >= eps
True

>>> eps = 1e-3
>>> a = math.pi - 1e-3
>>> n = quants_termes(a, eps)
>>> n # doctesttag: +TAG=3_series_trigo
961

>> lt = n_termes(a, n)
>> limit = (math.pi - 2*a)/4
>> abs(sum(lt) - limit) < eps and abs(sum(lt[:-1]) - limit) >= eps
True

>>> eps = 1e-2
>>> a = math.pi/4
>>> n = quants_termes(a, eps)
>>> n # doctesttag: +TAG=3_series_trigo
25

>> lt = n_termes(a, n)
>> limit = (math.pi - 2*a)/4
>> abs(sum(lt) - limit) < eps and abs(sum(lt[:-1]) - limit) >= eps
True