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public-python/mental_math.py
61616 e8ad7a56c3 mental_math.py release 1.0.0
2019-09-19 15:03:02 -04:00

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"""
mental_math.py
Mental math training program utilizing the command line interface
by Nayan Sawyer
started Sep 17 2019
version 1.0.0 Sep 19 2019
IMPORTANT INFORMATION
This program uses two sections of GS_timing.py v0.2.1 by Gabriel Staples to calculate user
response times. This is not my code and all credit goes to Gabriel Staples. Keep in mind that
these selections do not represent the full quality of his work as only the sections of code used
in mental_math.py are retained in the selection below the main program. Please do not use or reference
his work as seen in my program. If you wish to use or reference a much better time implementation than
standard python time, please use the original file and article by Gabriel Staples. The full GS_timing.py
file can be found at https://github.com/ElectricRCAircraftGuy/eRCaGuy_PyTime and the original article
can be found at https://www.electricrcaircraftguy.com/ go to table of contents, it is listed under
PYTHON. Needless to say, a huge thank you Gabriel Staples! The timing code would be much less accurate
without him!
MODES
All modes utilize integer values only. This includes generated numbers and compatible inputs.
For this reason and a few others division is not included. This program's sole purpose is intended
to be practicing and training of high speed thinking and memory.
Typing "stop" during normal operation of any mode is the correct way to stop the program. It will
output final average user response time and jump to the end of the program. Unless "stop" is used
the program will continue to produce problems indefinitely.
Type Simply for practicing typing numbers on the numpad (or any keyboard/configuration)
Add This mode is for practicing mental addition. Two numbers are presented between
input Minimum(boundMin) and Maximum(boundMax), and the correct answer is the sum of
these two numbers.
Subtract This mode is for practicing mental subtraction. Virtually the same as mode[Add] except for
practicing subtraction, includes additional optional argument to restrict possible answers to
positive only.
Multiply This mode is for practicing multiplication tables. Arguments include number of multiplication
tables, actual integer value[s] of table base[s], and maximum multiplier. The last being the highest
number you can be asked to multiply the table base[s] by.
TERMS / ACRONYMS
URT User response time
AURT Average user response time
VARIABLES
global
flag An input variable used to determine which mode to run
function*
boundMin/boundMax Boundary values for generating random numbers
n Number. Holds random number, for mode[Type] only
a Math variable a. Used for display and calculation
b Math variable b. Used for display and calculation
t Total. This is the user input answer
numBases Number of multiplication bases. User defined, defaults to 1, for mode[Multiplication] only
bases Multiplication base(table) list. User defined, for mode[Multiplication] only
fails ***DEPRECATED*** Used for accuracy calculation in alpha version, potential future feature
time
cTime Current time in millis. Used for calculating URT
fTime Formatted float time. This is the time difference between question and user response
count Counts loop iterations for calculating average user response time
total Holds the sum of all response times, used for calculating AURT^
*many variable names are used in all functions, variables unique to only one function are specified( mode[...] only )
REFERENCE
*1* fTime = round(((millis() - cTime) / 1000), 3)
set fTime to the value of
...(millis() - cTime)...
the time difference in milliseconds between start(cTime) and current(millis()) time
... / 1000)...
converted to seconds
...round( ... , 3)...
rounded to 3 decimal places
*2* str(" " + str(c) + " Problems in " + str(int(int(t) / 60)) + ":" + str(int(t) % 60) +
"\n Final average response time: " + str(average) + " seconds per problem")
Final string should appear as: (example)
3 Problems in 0:4
Final average response time: 1.61 seconds per problem
...str(int(int(t) / 60))...
to get minutes string remove* any fractions of a second ...int(t)...
divide by 60 secs/minute, and remove* any remaining seconds ...int(... / 60)...
...str(int(t) % 60)...
to get string of remaining seconds, remove* any fractions of a second and modulo by 60
*typecasting a float as an int truncates all information beyond the decimal point
ERROR CODES
1 Error printing. Most likely due to bug in time calculation code. Most likely deprecated
2 Error with user input in mode[Subtract]. Debugging only, most likely deprecated
3 Invalid user input for bases. Common error thrown for any non-integer input during multiplication
setup. Has no effect on program function and can be ignored. Primarily for debugging
4 This indicates an error while rounding the AURT to 3 decimal places. Typically result of all
time variables being zero
"""
import random
# For borrowed time code. See important info
import ctypes, os
# Generate time string. For compressing code. f = fTime, c = count, t = total
def resTime(f, c, t, stop = 0):
"""
"\n " + str(int(((c - int(stop - 1)) / c) * 100)) + "% Input accuracy" ***DEPRECATED***
"""
try:
if stop >= 1:
# Generate float value of average time to nearest hundredth of a second
average = round(t / c, 2)
# Generate final string. See ref 2
return str(" " + str(c) + " Problems in " + str(int(int(t) / 60)) + ":" + secString(t) +
"\n Final average response time: " + str(average) + " seconds per problem")
else:
average = round(t / c, 2)
return str("Time passed: " + str(f) + " Average response time = " + str(average))
except:
return str("Stopped before first submission. Error code 4")
def secString(time):
if (int(time) % 60) < 10:
return "0" + str(int(time) % 60)
else:
return str(int(time) % 60)
def getMin():
while True:
try:
val = int(input("Minimum: "))
break
except:
print("Invalid input")
return val
def getMax(mIn):
while True:
try:
val = int(input("Maximum: "))
while val < mIn:
print("Maximum cannot be less than minimum")
val = int(input("Maximum: "))
break
except:
print("Invalid input")
return val
def isnumber(string):
try:
if string.isnumeric():
return True
elif string[1].isnumeric():
return True
else:
return False
except:
if string[1].isnumeric():
return True
else:
return False
def modeType():
'''MODE[Type]'''
# Initialize mode variables
boundMin = getMin()
boundMax = getMax(boundMin)
count = 0
total = 0
fTime = 0
fails = 0
while True:
# Generate random numbers
n = random.randint(int(boundMin), int(boundMax))
# Get current time in millis
cTime = millis()
while True:
# Try. Prints error instead of crashing if printing error occurs. Most likely deprecated
try:
# Get user input. For checking math
t = input("Number (" + str(n) + "): ")
# If input is "stop" end the program
if t.lower() == "stop":
return resTime(fTime, count, total, fails + 1)
# Check if input is numeric
elif isnumber(t):
# Check that input is same as number, if so break (while True)
if int(t) == int(n):
break
else:
print("Incorrect!")
fails += 1
else:
print("Incorrect!")
fails += 1
except:
print("Invalid input. Error code 1")
fails += 1
# Calculate formatted float time (time difference). ref 1
fTime = round(((millis() - cTime) / 1000), 3)
# Update total response times. Count number of times loop has run. For calculating AURT
total += fTime
count += 1
# Print answer "Correct" and response time. The function will only get here given a correct answer, otherwise
print("Correct! " + resTime(fTime, count, total)) # it will loop forever (while True) or stop
'''MODE[Add]'''
def modeAdd():
# Initialize mode variables
boundMin = getMin()
boundMax = getMax(boundMin)
count = 0
total = 0
fTime = 0
fails = 0
while True:
# Generate random numbers
a = random.randint(int(boundMin), int(boundMax))
b = random.randint(int(boundMin), int(boundMax))
# Get current time in millis
cTime = millis()
# Keep asking for same number if incorrect
while True:
# Try so you don't crash you mother fucking piece of shit!
try:
# Get user input for checking math
t = input("Sum (" + str(a) + " + " + str(b) + "): ")
# Check for program stop
if t == "stop":
return resTime(fTime, count, total, fails + 1)
elif isnumber(t):
# Check that input is same as sum, if so break (while True)
if int(t) == int(a) + int(b):
break
else:
print("Incorrect!")
fails += 1
else:
print("Incorrect!")
fails += 1
except:
print("Invalid input. Error code 1")
fails += 1
# Calculate formatted float time (time difference). ref 1
fTime = round(((millis() - cTime) / 1000), 3)
total += fTime
count += 1
# Print answer "Correct" and response time. The function will only get here given a correct answer, otherwise
print("Correct! " + resTime(fTime, count, total)) # it will loop forever (while True) or stop
'''MODE[Subtraction]'''
def modeSubtract():
# Initialize mode variables
boundMin = getMin()
boundMax = getMax(boundMin)
count = 0
total = 0
fTime = 0
fails = 0
# Additional argument. Given all problems are subtraction does user want to allow negative answers?
negativeA = input("Allow possibility of negative answers? (y/n): ")
# Check that input is valid
while negativeA.lower() != "y" and negativeA.lower() != "n":
negativeA = input("Allow possibility of negative answers? (y/n): ")
# If negative answers are undesired make sure the value being subtracted FROM is no lower than 1
if negativeA.lower() == "n":
if boundMin <= 1:
boundMin = 1
while True:
# Generate random numbers
if negativeA.lower() == "y":
a = random.randint(int(boundMin), int(boundMax))
b = random.randint(int(boundMin), int(boundMax))
elif negativeA.lower() == "n":
# When no negatives make sure the subtracted value is lower than the initial value
a = random.randint(int(boundMin), int(boundMax))
b = random.randint(int(boundMin), int(a))
else: # for debugging
print("Negative answer input invalid, or bug. Returned error code: 2")
# Get current time in millis
cTime = millis()
while True:
# Try. Prints error instead of crashing if printing error occurs. Most likely deprecated
try:
# Get user input. For checking math
t = input("Sum (" + str(a) + " - " + str(b) + "): ")
# End if stop
if t == "stop":
return resTime(fTime, count, total, fails + 1)
elif isnumber(t):
# Check that input is same as sum, if so break while True
if int(t) == int(a) - int(b):
break
else:
print("Incorrect!")
fails += 1
else:
print("Incorrect!")
fails += 1
except:
print("Invalid input. Error code 1")
fails += 1
# Calculate formatted float time (time difference). ref 1
fTime = round(((millis() - cTime) / 1000), 3)
# Update total response times. Count number of times loop has run. For calculating AURT
total += fTime
count += 1
# Print answer "Correct" and response time. The function will only get here given a correct answer, otherwise
print("Correct! " + resTime(fTime, count, total)) # it will loop forever (while True) or stop
'''MODE[Multiply]'''
def modeMultiply():
# Initialize mode variables
numBases = 0
while numBases <= 0:
try:
# Get number of bases(times tables) desired
numBases = int(input("Number of tables "
"(ex: Doing the 6 and 8 tables together would require 2. default 1):"))
break
except:
# If invalid input (non-int) default to one base
numBases = 1
# Initialize list of bases
bases = []
# Fill list with [numBases] of actual base values via user input
for i in range(numBases):
while True:
try:
bases.append(int(input("Base[" + str(i + 1) + "]: ")))
break
except:
print("Invalid input. Must be integer. Returned error code: 3")
boundMax = 0
while True:
try:
# Get number of bases desired
boundMax = int(input("Maximum multiplier: "))
break
except:
print("Invalid input")
count = 0
total = 0
fTime = 0
fails = 0
# Main function
while True:
# Generate Random numbers
a = random.choice(bases)
b = random.randint(0, int(boundMax))
# Get current time in millis
cTime = millis()
while True:
# Try. Prints error instead of crashing if printing error occurs. Most likely deprecated
try:
# Get user input. For checking math
t = input("Product (" + str(a) + " x " + str(b) + "): ")
# End if stop
if t == "stop":
return resTime(fTime, count, total, fails + 1)
elif isnumber(t):
# Check that input is same as sum, if so break while True
if int(t) == int(a) * int(b):
break
else:
print("Incorrect!")
fails += 1
else:
print("Incorrect!")
fails += 1
except:
print("Invalid input. Error code 1")
fails += 1
# Calculate formatted float time (time difference). ref 1
fTime = round(((millis() - cTime) / 1000), 3)
# Update total response times. Count number of times loop has run. For calculating AURT
total += fTime
count += 1
# Print answer "Correct" and response time. The function will only get here given a correct answer, otherwise
print("Correct! " + resTime(fTime, count, total)) # it will loop forever (while True) or stop
"""
THE FOLLOWING CODE IS TWO TIME CALCULATION FUNCTIONS BORROWED FROM Gabriel Staples
PLEASE SEE IMPORTANT INFO IN DOCSTRING
"""
"""
START OF BORROWED CODE
"""
#-------------------------------------------------------------------
#MODULE FUNCTIONS:
#-------------------------------------------------------------------
#OS-specific low-level timing functions:
if (os.name=='nt'): #for Windows:
def millis():
"return a timestamp in milliseconds (ms)"
tics = ctypes.c_int64() #use *signed* 64-bit variables; see the "QuadPart" variable here: https://msdn.microsoft.com/en-us/library/windows/desktop/aa383713(v=vs.85).aspx
freq = ctypes.c_int64()
#get ticks on the internal ~2MHz QPC clock
ctypes.windll.Kernel32.QueryPerformanceCounter(ctypes.byref(tics))
#get the actual freq. of the internal ~2MHz QPC clock
ctypes.windll.Kernel32.QueryPerformanceFrequency(ctypes.byref(freq))
t_ms = tics.value*1e3/freq.value
return t_ms
elif (os.name=='posix'): #for Linux:
#Constants:
CLOCK_MONOTONIC_RAW = 4 # see <linux/time.h> here: https://github.com/torvalds/linux/blob/master/include/uapi/linux/time.h
#prepare ctype timespec structure of {long, long}
#-NB: use c_long (generally signed 32-bit) variables within the timespec C struct, per the definition here: https://github.com/torvalds/linux/blob/master/include/uapi/linux/time.h
class timespec(ctypes.Structure):
_fields_ = \
[
('tv_sec', ctypes.c_long),
('tv_nsec', ctypes.c_long)
]
#Configure Python access to the clock_gettime C library, via ctypes:
#Documentation:
#-ctypes.CDLL: https://docs.python.org/3.2/library/ctypes.html
#-librt.so.1 with clock_gettime: https://docs.oracle.com/cd/E36784_01/html/E36873/librt-3lib.html #-
#-Linux clock_gettime(): http://linux.die.net/man/3/clock_gettime
librt = ctypes.CDLL('librt.so.1', use_errno=True)
clock_gettime = librt.clock_gettime
#specify input arguments and types to the C clock_gettime() function
# (int clock_ID, timespec* t)
clock_gettime.argtypes = [ctypes.c_int, ctypes.POINTER(timespec)]
def monotonic_time():
"return a timestamp in seconds (sec)"
t = timespec()
#(Note that clock_gettime() returns 0 for success, or -1 for failure, in
# which case errno is set appropriately)
#-see here: http://linux.die.net/man/3/clock_gettime
if clock_gettime(CLOCK_MONOTONIC_RAW , ctypes.pointer(t)) != 0:
#if clock_gettime() returns an error
errno_ = ctypes.get_errno()
raise OSError(errno_, os.strerror(errno_))
return t.tv_sec + t.tv_nsec*1e-9 #sec
def millis():
"return a timestamp in milliseconds (ms)"
return monotonic_time()*1e3 #ms
"""
END OF BORROWED CODE
"""
#
#
#
'''
PROGRAM START
'''
#
#
#
# User input to determine mode
flag = input('Select mode: Type[1], Add[2], Subtract[3] or Multiply[4], or "help" for help ')
if flag == "1":
print(modeType())
elif flag == "2":
print(modeAdd())
elif flag == "3":
print(modeSubtract())
elif flag == "4":
print(modeMultiply())
elif flag.lower() == "help":
print(__doc__)
else:
print("Invalid mode input")
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