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schriftlich_multiplizieren.py
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#!/usr/bin/env python3
# -*- coding: utf-8 -*-
"""
Created on Sun May 5 11:43:32 2019
@author: detlef
"""
from random import randint
import numpy as np
maxlen1 = 7
maxlen2 = 5
#setup vocabulary
vocab = {}
vocab_rev = {}
count_chars = 0
def add_translate(cc):
#pylint: disable=W0603
global count_chars
vocab[cc] = count_chars
vocab_rev[count_chars] = cc
count_chars += 1
for c in range(ord('0'), ord('9')+1):
add_translate(chr(c))
add_translate('+')
add_translate('*')
add_translate('=')
#add_translate('.')
add_translate(' ')
print("num of different chars", len(vocab))
def one_data(maxlen1, maxlen2, debug = False):
sequence_out = []
sequence_in = []
result = []
xx1 = [randint(0,9) for _ in range(maxlen1)]
x1 = 0
for x in xx1:
x1*=10
x1+=x
xx2 = [randint(0,9) for _ in range(maxlen2)]
x2 = 0
for x in xx2:
x2*=10
x2+=x
if debug:
print(x1*x2)
len1 = len(str(x1))
len2 = len(str(x2))
if debug:
print(len1,len2)
result.append(str(x1)+"*"+str(x2)+"=")
pos1 = [0,0]
pos2 = [0,0]
pos3 = [0,0]
def movepos(p,d):
if d == 'r':
p[0]+=1
elif d == 'l':
p[0]-=1
elif d == 'u':
p[1]-=1
elif d == 'd':
p[1]+=1
# if p[0]<0:
# p[0]=0
# if p[1]<0:
# p[1]=0
def get_int1():
if debug:
print("pos1",pos1,get_vector_pos(pos1),get_vector_pos(pos2))
if pos1[1]<0:
return 0
r = result[pos1[1]][pos1[0]]
if r == ' ':
return 0
return int(r)
def get_int2():
if debug:
print("pos2",pos2,get_vector_pos(pos1),get_vector_pos(pos2))
if len(result[pos2[1]]) <= pos2[0]:
return 0
r = result[pos2[1]][pos2[0]]
if r == ' ':
return 0
return int(r)
def get_int3():
if debug:
print("pos3",pos3)
r = result[pos3[1]][pos3[0]]
if r == ' ':
return 0
return int(r)
def get_vector_pos(pos):
vec = []
if pos[1]>=0 and pos[1]<len(result)-1 and pos[0]<len(result[pos[1]]):
vec.append(result[pos[1]][pos[0]])
else:
vec.append(' ')
# if pos[1]>0 and pos[0]<len(result[pos[1]-1]):
# vec.append(result[pos[1]-1][pos[0]])
# else:
# vec.append(' ')
# if pos[1]>=0 and pos[1]<len(result)-1 and pos[0]<len(result[pos[1]+1]):
# vec.append(result[pos[1]+1][pos[0]])
# else:
# vec.append(' ')
# if pos[0]>0 and pos[0] <len(result[pos[1]]):
# vec.append(result[pos[1]][pos[0]])
# else:
# vec.append(' ')
if pos[1]>=0 and pos[0] + 1<len(result[pos[1]]):
vec.append(result[pos[1]][pos[0]+1])
else:
vec.append(' ')
return vec
def move_or_set(direction):
#global sequence_out
#global seqence_in
sequence_out.append(direction)
sequence_in.append(get_vector_pos(pos1)+get_vector_pos(pos2))
if direction == 'a':
movepos(pos1,'r')
elif direction == 'b':
movepos(pos1,'l')
elif direction == 'c':
movepos(pos1,'d')
elif direction == 'd':
movepos(pos1,'u')
elif direction == 'e':
movepos(pos2,'r')
elif direction == 'f':
movepos(pos2,'l')
elif direction == 'g':
movepos(pos2,'d')
elif direction == 'h':
movepos(pos2,'u')
elif direction == 'i':
movepos(pos3,'r')
elif direction == 'j':
movepos(pos3,'l')
elif direction == 'k':
movepos(pos3,'d')
elif direction == 'l':
movepos(pos3,'u')
else:
while pos3[1] >= len(result):
result.append("")
while pos3[0] >= len(result[pos3[1]]):
result[pos3[1]] += ' '
result[pos3[1]] = result[pos3[1]][:pos3[0]]+direction+result[pos3[1]][pos3[0]+1:]
#double in case of set but not move
while pos3[1] >= len(result):
result.append("")
while pos3[0] >= len(result[pos3[1]]):
result[pos3[1]] += ' '
#move_or_set('a')
#move_or_set('e')
#move_or_set('i')
for _ in range(len1-1):
move_or_set('a')
for _ in range(len1+2-1):
move_or_set('e')
move_or_set('i')
move_or_set('k')
for pp in range(len2):
p = get_int1()*get_int2()
c = int(p / 10)
move_or_set(str(p)[-1:])
if debug:
for r in result:
print(r)
for _ in range(len1-1):
move_or_set('b')
move_or_set('j')
p = get_int1()*get_int2()+c
c = int(p / 10)
move_or_set(str(p)[-1:])
if debug:
for r in result:
print(r)
move_or_set('j')
move_or_set(str(c))
move_or_set('i')
for _ in range(len1-1):
move_or_set('a')
move_or_set('i')
if pp < len2-1:
move_or_set('i')
move_or_set('e')
move_or_set('k')
move_or_set('g')
move_or_set('d') # to be different for sum
for pp in range(len1+len2):
move_or_set('k')
if debug:
print(pos1,pos2,pos3)
p=0
for _ in range(len2+1):
p += get_int2()
move_or_set('g')
move_or_set(str(p)[-1:])
c = int(p / 10)
move_or_set('j')
if pp < len1+len2-1:
move_or_set('l')
move_or_set(str(c))
if debug:
for r in result:
print(r)
for _ in range(len2+1):
move_or_set('h')
move_or_set('f')
move_or_set(' ') #end marker, spaces should never be written in other situations
return sequence_in, sequence_out, result
sequence_in, sequence_out, result = one_data(maxlen1, maxlen2, True)
print()
#print(sequence_out, sequence_in)
np_in = np.array(list(map((lambda x: list(map((lambda y: vocab[y]), x))), sequence_in)))
np_swap = np.swapaxes(np_in,0,1)
#print(np_in.shape, np_swap.shape)
#print(np_in)
#print(np_swap)
for r in result:
print(r)