カテゴリー: ubuntu

投稿日:

pc [One Line Python(SymPy) Code Calculator]

ターミナル立ち上げてすぐに数式を入力できる

数値計算・代数計算にとって強力な助っ人SymPyをもっと簡単に
Pythonは素晴らしい言語です
SymPyライブラリは数学の強力助っ人

でも使うためにはいくつものお膳立てが必要

ターミナルにコマンドpcを打ち込むだけでPython一行コードを即入力・即出力を可能にします

Pythonを立ち上げる必要なし
Pythonのコーディングも必要なし
SymPyライブラリのインポートはじめお膳立ても必要なし
シェルスクリプトは1つpc.shだけだから設置が容易

3ステップで高度な数学計算ができる
1.ターミナルを立ち上げる
2.コマンドpcを打ち込む
3.数式 expand((x+y+z)**3)を入力

スクリーンショット 2024-06-26 23.30.36.

【更新】

20240626
・マニュアルを拡充
SymPyに加え-math — 数学関数-を追加

・オプションに
[math]Open Math module Web
を追加
python標準モジュールmath
math module Doc Web表示

20230908
・インストールするファイルを1つだけにした
・モードを9つにした
・出力を7つにした
・カラー表示にした
・複数行コード入力メニュー[2c]Codeを追加

【動作確認環境】

【macOS14.5】
M3Mac
Python 3.11.9
zsh

【macOS12.6.5】
Python 3.11.4
Bash、zsh

【Ubuntu22.04.2LTS】
Python 3.11.1
Bash

【必須Pythonライブラリ】
SymPyライブラリ
mpmathライブラリ

【インストール】

HOMEにディレクトリmyscript/pcをつくる
HOME/myscript/pcに
py.sh
を配置

もし設置するディレクトリを変更する場合
変数PCDIRを変更

# pc.sh
# pc.shの設置ディレクトリ
PCDIR=$HOME/myscript/pc

MacOS　.zshrcに以下を追記

# .zshrc
source $HOME/myscript/pc/pc.sh

ubuntu　.bashrcに以下を追記

# .bashrc
alias open=xdg-open
source $HOME/myscript/pc/pc.sh

【OPTION】

[n] set precision n digits (default:16 digits)
[c] Enter multiple Code TAB OK Press ‘##’ to Stop inputting
[f] 2/3 -> Fraction(“2/3”).limit_denominator()
[mpf] 3.14 -> mpf(“3.14”) mp(multiple-precision)f(Real float)
[r] verify Rumps example
[m] less manual This manual page Press ‘q’ to stop
[M] open manual
[h] open history open $PCDIR/pchistory.txt
[s] open SymPy Web Site
[math] Open Math module Web
[qq] quit pc

【OUTPUT】

[1]pprint(eq,use_unicode=False)
[2]pprint(eq,use_unicode=True)
[3]pprint(eval(eq))
[4]print(eval(eq))
[5]N(eq, precision)
[6]latex(eval(eq))
[7]latex(N(eq,precision))

シェルスクリプト pc.sh

#!/usr/bin/env bash

# pc
# -- One Line Python(SymPy) Code Calculator --

pcversion='20240626'

# Select Color Set
# Terminal Back Color : Black (Font Color : White)
blue='\033[94m';violet='\033[95m';green='\033[92m';mizu='\033[96m';red='\033[91m';yellow='\033[93m'

# Terminal Back Color : White (Font Color : Black)
# blue='\033[1;30m';violet='\033[1;30m';green='\033[1;30m';mizu='\033[1;30m'

# pc.shの設置ディレクトリ
PCDIR=$HOME/myscript/pc

# コマンド pce
# pc.sh 編集
function pce(){
open $PCDIR/pc.sh
}

# コマンド pcl
# 入力履歴表示
function pcl(){
open $PCDIR/pchistory.txt
}

# コマンド pcd
# SymPy Doc Web表示
function pcd(){
open 'https://docs.sympy.org/latest/tutorials/intro-tutorial/features.html'
}

# コマンド pcmath
# math module Doc Web表示
function pcmath(){
open 'https://docs.python.org/ja/3/library/math.html'
}


# コマンド help
function helppc(){
echo -e "$helptxt" | less -R -X
}

# コマンド helpe Manual外部エディターに表示
function helpe(){
echo -e "$helptxt" | sed -e 's%[[]9[2-6]m%%g' -e 's%[[]1;30m%%g' -e 's%[[]0m%%g' -e 's%[[]m%%g'>$PCDIR/help.txt
open $PCDIR/help.txt
}


# Manual TEXT
helptxt=$(cat << EOF
General Commands Manual
NAME
   pc -  One Line Python(SymPy) Code Calculator

SYNTAX
   pc

VERSION
   This man page documents pc version ${pcversion}

Copyright 2023 sakurAi Science Factory, Inc.
This is free software with ABSOLUTELY NO WARRANTY.

Recommended Terminal Font
Ubuntu Mono

DESCRIPTION
Enter One Line Code > \$eq [n]16digits [c][f][mpf][r][m][M][h][s][qq]
One Line Python(SymPy) Code
you can use '^' instead of '**'

IMPORT LIBRARY･MODULE
import math
from fractions import Fraction as Frac
from mpmath import *
from pprint import pprint
mp.pretty = True
from sympy import *
from spb import *  # SymPy Plotting Backends (SPB)
import japanize_matplotlib
import matplotlib.pyplot as plt

init_printing() #降べきの順
# init_printing(order='rev-lex') #昇べきの順
var('a:z')
f = Function('f')



OPTION
[n] set precision n digits (default:16 digits)
[c] Enter multiple Code     TAB OK  Press '##' to Stop inputting
[f] 2/3 -> Fraction("2/3").limit_denominator()
[mpf] 3.14 -> mpf("3.14")  mp(multiple-precision)f(Real float)
[r] verify Rumps example
[m] less manual  This manual page   Press 'q' to stop
[M] open manual
[h] open history   open \$PCDIR/pchistory.txt
[s] open SymPy Web Site
[math] Open Math module Web
[qq] quit pc

OUTPUT  One Line Python(SymPy) Code [f]Frac [mpf]mpf
[1]pprint(eq,use_unicode=False)
[2]pprint(eq,use_unicode=True)
[3]pprint(eval(eq))
[4]print(eval(eq))
[5]N(eq, precision)
[6]latex(eval(eq))
[7]latex(N(eq,precision))

OUTPUT  [c]multiple Code
[8]exec('eq')

[EXPRESSION] All SymPy Code OK
${blue}────────────────────────────────────────────────────────────────────
${violet}Math\033[0m
SymPy Code
${green}OUTPUT\033[0m


${mizu}-BASIC-\033[0m
${blue}────────────────────────────────────────────────────────────────────
${violet}algebra symbolic variable\033[0m
from a to z

${blue}────────────────────────────────────────────────────────────────────
${violet}algebra symbolic function\033[0m
default only f
x, y = symbols('x y', positive=True)
a, b = symbols('a b', real=True)

${blue}────────────────────────────────────────────────────────────────────
${violet}Natural Representation\033[0m
print(expand((x+y)**2))
${green}x**2 + 2*x*y + y**2\033[0m

pprint(expand((x+y)**2))
${green} 2            2
${green}x  + 2⋅x⋅y + y \033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}substitution\033[0m
(x^2+x+1).subs(x, 1)
${green}3\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}quotient\033[0m
13 // 5
${green}2\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}remainder\033[0m
13 % 5
${green}3\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}quotient and remainder\033[0m
divmod(25, 3)
${green}(8, 1)\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}fraction\033[0m
2/3
${green}0.6666666666666666\033[m

Frac(2,3)
${green}2/3\033[m

Frac("2/3")
${green}6004799503160661/9007199254740992\033[m

Frac("2/3").limit_denominator()
${green}2/3\033[m

[c]Code
pprint(Frac("2/3")+Frac("1/7"))
${green}17
${green}──
${green}21\033[m

[f]Frac
2/3+1/7
${green}17
${green}──
${green}21\033[0m


${mizu}-NUMBER-\033[0m
${blue}────────────────────────────────────────────────────────────────────
${violet}Pi\033[0m
pi
${green}3.141592653589793 (default 16digits)\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}Napier Constant\033[0m
E
${green}2.718281828459045 (default 16digits)\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}imaginary unit\033[0m
(2+3j)*(5-7j)
${green}(31+1j)
${green}31.0 + 1.0⋅ⅈ\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}imaginary unit(SymPy)\033[0m
exp(cos(E**I)+sin(E*pi))
${green}    ⎛ ⅈ⎞           
${green} cos⎝ℯ ⎠ + sin(ℯ⋅π)
${green}ℯ                  

${green}6.237024243670621 - 3.292937458733587⋅ⅈ\033[0m

I**I
${green} ⅈ
${green}ⅈ 

${green}0.2078795763507619\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}Degree\033[0m
mp.degree
${green}0.0174532925199433\033[0m

pi/180
${green}0.01745329251994330\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}Golden Ratio\033[0m
phi
${green}1.618033988749895\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}Euler's constant Gamma\033[0m
mp.euler
${green}0.5772156649015329\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}Catalan’s constant\033[0m
mp.catalan
${green}0.915965594177219\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}Khinchin’s constant\033[0m
mp.khinchin
${green}2.685452001065306\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}Glaisher’s constant\033[0m
mp.glaisher
${green}1.282427129100623\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}Mertens constant\033[0m
mp.mertens
${green}0.2614972128476428\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}Twin prime constant\033[0m
mp.twinprime
${green}0.6601618158468696\033[0m


${mizu}-FUNCTION-\033[0m
${blue}────────────────────────────────────────────────────────────────────
${violet}square root\033[0m
sqrt(2)
${green}1.414213562373095 (default 16digits)\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}LCM (Least Common Multiple)\033[0m
lcm(120, 99)
${green}3960\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}GCD (Greatest Common Divisor)\033[0m
gcd(12, 18)
${green}6\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}trigonometry\033[0m
sin(pi/3)
${green}  ___
${green}\/ 3 
${green}-----
${green} 2  \033[0m

sin(radians(60))
${green}0.8660254037844387\033[0m

degrees(pi/3).evalf()
${green}60.0000000000000\033[0m

asin()
sinh()
asinh()

${blue}────────────────────────────────────────────────────────────────────
${violet}exponential\033[0m
exp(1)
${green}e
${green}ℯ
${green}E
${green}2.718281828459045\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}natural logarithm\033[0m
log(E**2)
${green}2\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}common lagarithm\033[0m
log(2,10)  log(x, base)
${green}log(2)/log(10)
${green}0.3010299956639812\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}gamma function\033[0m
gamma(4)
${green}6\033[0m
gamma(sqrt(2))
${green}0.8865814287192591\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}binomial\033[0m
binomial(5,2)
${green}10\033[0m
binomial(n,3)
${green}⎛n⎞
${green}⎜ ⎟
${green}⎝3⎠\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}permutation\033[0m
math.perm(5,2)
${green}20\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}combination\033[0m
math.comb(5,2)
${green}10\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}absolute value\033[0m
abs(-3)
${green}3\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}prime factorization\033[0m
factorint(60)
${green}{2: 2, 3: 1, 5: 1}\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}factorial\033[0m
factorial(10)
${green}3628800\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}KroneckerDelta\033[0m
KroneckerDelta(1, 2)
${green}0\033[0m

KroneckerDelta(i, j)
${green}δ   
${green} i,j\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}besseli\033[0m
besselj(n, z).diff(z)
${green}besselj(n - 1, z)   besselj(n + 1, z)
${green}───────────────── - ─────────────────
${green}        2                   2        \033[0m

besselj(n, z).rewrite(jn)
${green}√2⋅√z⋅jn(n - 1/2, z)
${green}────────────────────
${green}         √π         \033[0m


${mizu}-SIMPILIFICATION-\033[0m
${blue}────────────────────────────────────────────────────────────────────
${violet}simplify\033[0m
simplify(cos(x)**2+sin(x)**2)
${green}1\033[0m

(x**2 + 2*x + 1)/(x**2 + x)
${green} 2          
${green}x  + 2⋅x + 1
${green}────────────
${green}    2       
${green}   x  + x \033[0m

simplify((x**2 + 2*x + 1)/(x**2 + x))
${green}x + 1
${green}─────
${green}  x \033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}expand\033[0m
expand((x+y+z)**3)
${green} 3      2        2          2                  2    3      2          2    3
${green}x  + 3⋅x ⋅y + 3⋅x ⋅z + 3⋅x⋅y  + 6⋅x⋅y⋅z + 3⋅x⋅z  + y  + 3⋅y ⋅z + 3⋅y⋅z  + z \033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}factor\033[0m
factor(a^8-b^8)
${green}                ⎛ 2    2⎞ ⎛ 4    4⎞
${green}(a - b)⋅(a + b)⋅⎝a  + b ⎠⋅⎝a  + b ⎠\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}collec\033[0m
x*y^2+3*x^3*y+5*x*y-7*x^3*y^2
${green}     3  2      3        2        
${green}- 7⋅x ⋅y  + 3⋅x ⋅y + x⋅y  + 5⋅x⋅y\033[0m

collect(x*y^2+3*x^3*y+5*x*y-7*x^3*y^2, x)
${green} 3 ⎛     2      ⎞     ⎛ 2      ⎞
${green}x ⋅⎝- 7⋅y  + 3⋅y⎠ + x⋅⎝y  + 5⋅y⎠\033[0m

collect(x*y^2+3*x^3*y+5*x*y-7*x^3*y^2, y)
${green} 2 ⎛     3    ⎞     ⎛   3      ⎞
${green}y ⋅⎝- 7⋅x  + x⎠ + y⋅⎝3⋅x  + 5⋅x⎠\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}cancel\033[0m
(x**2 + 2*x + 1)/(x**2 + x)
${green} 2          
${green}x  + 2⋅x + 1
${green}────────────
${green}    2       
${green}   x  + x   \033[0m

cancel((x**2 + 2*x + 1)/(x**2 + x))
${green}x + 1
${green}─────
${green}  x \033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}apart\033[0m
1/((x-1)*(x+1))
${green}       1       
${green}───────────────
${green}(x - 1)⋅(x + 1)\033[0m

apart(1/((x-1)*(x+1)))
${green}      1           1    
${green}- ───────── + ─────────
${green}  2⋅(x + 1)   2⋅(x - 1)\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}separatevars\033[0m
(x*y)**y
${green}     y
${green}(x⋅y) \033[0m

separatevars((x*y)**y, force=True)
${green} y  y
${green}x ⋅y \033[0m

x*y*z*sin(x)*cos(x)+x^2*y*z^3*cos(x)
${green} 2    3                             
${green}x ⋅y⋅z ⋅cos(x) + x⋅y⋅z⋅sin(x)⋅cos(x)\033[0m

separatevars(x*y*z*sin(x)*cos(x)+x^2*y*z^3*cos(x))
${green}      ⎛            2⎞       
${green}x⋅y⋅z⋅⎝sin(x) + x⋅z ⎠⋅cos(x)\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}ratsimp\033[0m
reduce fractions to a common denominator

ratsimp(1/x + 1/y)
${green}x + y
${green}─────
${green} x⋅y \033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}radsimp\033[0m
Rationalize the denominator by removing square roots

1/(1 + sqrt(2) + sqrt(3) + sqrt(5))
${green}       1        
${green}────────────────
${green}1 + √2 + √3 + √5\033[0m

radsimp(1/(1 + sqrt(2) + sqrt(3) + sqrt(5)))
${green}-34⋅√10 - 26⋅√15 - 55⋅√3 - 61⋅√2 + 14⋅√30 + 93 + 46⋅√6 + 53⋅√5
${green}──────────────────────────────────────────────────────────────
${green}                              71                              \033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}expand_trig\033[0m
expand_trig(sin(x + y))
${green}sin(x)⋅cos(y) + sin(y)⋅cos(x)\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}trigsimp\033[0m
trigsimp(sin(x)*cos(y) + sin(y)*cos(x))
${green}sin(x + y)\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}expand_log\033[0m
expand_log(log(x*y), force=True)
${green}log(x) + log(y)\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}logcombine\033[0m
logcombine(log(x) + log(y), force=True)
${green}log(x⋅y)\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}powsimp\033[0m
x**a*x**b
${green} a  b
${green}x ⋅x \033[0m

powsimp(x**a*x**b)
${green} a + b
${green}x     \033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}expand_power_exp\033[0m
3**(y + 2)
${green} y + 2
${green}3     \033[0m

expand_power_exp(3**(y + 2))
${green}   y
${green}9⋅3 \033[0m

pprint(expand_power_exp(Symbol('x', zero=False)**(y + 2)))
${green} 2  y
${green}x ⋅x \033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}expand_power_base\033[0m
(x*y)**z
${green}     z
${green}(x⋅y) \033[0m

expand_power_base((x*y)**z, force=True)
${green} z  z
${green}x ⋅y \033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}powdenest\033[0m
(x**a)**b
${green}    b
${green}⎛ a⎞ 
${green}⎝x ⎠ \033[0m

powdenest((x**a)**b, force=True)
${green} a⋅b
${green}x   \033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}expand_func\033[0m
expand_func(gamma(x+3))
${green}x⋅(x + 1)⋅(x + 2)⋅Γ(x)\033[0m

expand_func(binomial(n,3))
${green}n⋅(n - 2)⋅(n - 1)
${green}─────────────────
${green}        6        \033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}FUNCsimp\033[0m
gammasimp(gamma(x)*gamma(1-x))
${green}   π    
${green}────────
${green}sin(π⋅x)c

combsimp(binomial(n+2,k)/binomial(n,k))
${green}    (n + 1)⋅(n + 2)    
${green}───────────────────────
${green}(k - n - 2)⋅(k - n - 1)\033[0m

kroneckersimp( 1+KroneckerDelta(0, j) * KroneckerDelta(1, j))
${green}1\033[0m

besselsimp(z*besseli(0, z) + z*(besseli(2, z))/2 + besseli(1, z))
${green}3⋅z⋅besseli(0, z)
${green}─────────────────
${green}        2        \033[0m

hypersimp(factorial(n)**2 / factorial(2*n), n)
${green}   n + 1   
${green}───────────
${green}2⋅(2⋅n + 1)\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}.rewrite\033[0m
tan(x).rewrite(sin)
${green}     2   
${green}2⋅sin (x)
${green}─────────
${green} sin(2⋅x)\033[0m

(cos(x)).rewrite(sin)
${green}   ⎛    π⎞
${green}sin⎜x + ─⎟
${green}   ⎝    2⎠\033[0m

factorial(x).rewrite(gamma)
${green}Γ(x + 1)\033[0m


${mizu}-SEQUENCE-\033[0m
${blue}────────────────────────────────────────────────────────────────────
${violet}sequence\033[0m
sequence(k**2,(k,1,10))
${green}[1, 4, 9, 16, …]\033[0m

sequence(k**2,(k,1,10))[9]
${green}100\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}summation of a sequence\033[0m
Sum(k**2,(k,1,n))
${green}  n     
${green} ___    
${green} ╲      
${green}  ╲    2
${green}  ╱   k 
${green} ╱      
${green} ‾‾‾    
${green}k = 1  \033[0m

Sum(k**2,(k,1,n)).doit()
${green} 3    2    
${green}n    n    n
${green}── + ── + ─
${green}3    2    6\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}product of a sequence\033[0m
Product(k,(k,1,10))
${green}  10   
${green}─┬─┬─  
${green} │ │  k
${green} │ │   
${green}k = 1  \033[0m

product(k,(k,1,10))
${green}3628800\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}Seki-Bernoulli number\033[0m
bernoulli(1)
${green}1/2\033[0m

bernoulli(2)
${green}1/6\033[0m


${mizu}-EQUATION-\033[0m
${blue}────────────────────────────────────────────────────────────────────
${violet}Eq\033[0m
Eq(x^3, x^2-1)
${green} 3    2    
${green}x  = x  - 1\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}solve\033[0m
solve(x^2+x+4)
${green}⎡  1   √15⋅ⅈ    1   √15⋅ⅈ⎤
${green}⎢- ─ - ─────, - ─ + ─────⎥
${green}⎣  2     2      2     2  ⎦\033[0m

solve(a*x**2+b*x+c, x)
${green}⎡        _____________          _____________⎤
${green}⎢       ╱           2          ╱           2 ⎥
${green}⎢-b - ╲╱  -4⋅a⋅c + b    -b + ╲╱  -4⋅a⋅c + b  ⎥
${green}⎢─────────────────────, ─────────────────────⎥
${green}⎣         2⋅a                    2⋅a         ⎦\033[0m

solve(x**2-1,x)[0]
${green}-1\033[0m

[f]Frac
solve([2/3*x-y-1,3/7*x-2*y-5/9],[x,y])
${green}⎧   91      11⎫
${green}⎨x: ──, y: ───⎬
${green}⎩   57     171⎭\033[0m

solve([x+y-4,x-y-2],[x,y])
${green}{x: 3, y: 1}\033[0m

list(solve([x+y-4,x-y-2]).items())[0]
${green}(x, 3)\033[0m

list(solve([x+y-4,x-y-2],[x,y]).items())[0][1]
${green}3\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}dsolve\033[0m
variable function f
Eq(Derivative(f(t),t,2)-f(t),exp(t))
${green}  2                  
${green} d                  t
${green}───(f(t)) - f(t) = ℯ 
${green}  2                  
${green}dt                   \033[0m

dsolve(Eq(f(t).diff(t, 2) - f(t), exp(t)), f(t))
${green}           -t   ⎛     t⎞  t
${green}f(t) = C₂⋅ℯ   + ⎜C₁ + ─⎟⋅ℯ 
${green}                ⎝     2⎠   \033[0m

dsolve(Eq(f(t).diff(t, 2) - f(t), exp(t)), f(t), ics={f(0):1, f(t).diff(t,1).subs(t, 0):1})
${green}                     -t
${green}       ⎛t   3⎞  t   ℯ  
${green}f(t) = ⎜─ + ─⎟⋅ℯ  + ───
${green}       ⎝2   4⎠       4 \033[0m


${mizu}-CALCULUS-\033[0m
${blue}────────────────────────────────────────────────────────────────────
${violet}differential\033[0m
diff(x^3+x^2+x+1)
${green}   2          
${green}3⋅x  + 2⋅x + 1\033[0m

diff(sin(x),x,3)
${green}-cos(x)\033[0m

Derivative(exp(x**2),x,3)
${green}  3⎛ ⎛ 2⎞⎞
${green} d ⎜ ⎝x ⎠⎟
${green}───⎝ℯ    ⎠
${green}  3       
${green}dx        \033[0m

Derivative(exp(x**2),x,3).doit()
${green}                ⎛ 2⎞
${green}    ⎛   2    ⎞  ⎝x ⎠
${green}4⋅x⋅⎝2⋅x  + 3⎠⋅ℯ    \033[0m

[c]Code
f = Function('f')
g = Function('g')
eq = (f(x) * g(x)).diff(x)
pprint(eq)
${green}     d               d       
${green}f(x)⋅──(g(x)) + g(x)⋅──(f(x))
${green}     dx              dx      \033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}indefinite integral\033[0m
integrate(3*x^2+2*x+1)
${green} 3    2    
${green}x  + x  + x\033[0m

[f]Frac
Integral(3*x^2+2*x-2/3)
${green}⌠                    
${green}⎮ ⎛   2         2⎞   
${green}⎮ ⎜3⋅x  + 2⋅x - ─⎟ dx
${green}⎮ ⎝             3⎠   
${green}⌡                    \033[0m

[f]Frac
Integral(3*x^2+2*x-2/3).doit()
${green} 3    2   2⋅x
${green}x  + x  - ───
${green}           3 \033[0m

${violet}definite integral\033[0m
integrate(x**3,(x,0,1))
${green}1/4\033[0m

[f]Frac
Integral(2/3*x^5, (x, 0, 2/3))
${green}2/3        
${green} ⌠         
${green} ⎮     5   
${green} ⎮  2⋅x    
${green} ⎮  ──── dx
${green} ⎮   3     
${green} ⌡         
${green} 0         \033[0m

[f]Frac
Integral(2/3*x^5, (x, 0, 2/3)).doit()
${green} 64 
${green}────
${green}6561\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}Taylor series\033[0m
series(sin(x),x, 0, 12)
${green}     3     5     7       9        11            
${green}    x     x     x       x        x         ⎛ 12⎞
${green}x - ── + ─── - ──── + ────── - ──────── + O⎝x  ⎠
${green}    6    120   5040   362880   39916800         \033[0m

${violet}Taylor series coefficient list\033[0m
taylor(sin, 0, 5)
${green}[0.0, 1.0, 0.0, -0.1666666666666667, 0.0, 0.008333333333333333]\033[0m

series(sin(x),x, 0, 12).removeO()
${green}     3     5     7       9        11   
${green}    x     x     x       x        x     
${green}x - ── + ─── - ──── + ────── - ────────
${green}    6    120   5040   362880   39916800\033[0m

series(sin(x),x, 0, 12).removeO().subs(x,1)
${green}0.8414709846480680\033[0m


${mizu}-INFINITY-\033[0m
${blue}────────────────────────────────────────────────────────────────────
${violet}infinity\033[0m
oo
${green}∞\033[0m

Integral(1/(1+x**2), (x, -oo, oo))
${green}∞           
${green}⌠           
${green}⎮    1      
${green}⎮  ────── dx
${green}⎮   2       
${green}⎮  x  + 1   
${green}⌡           
${green}-∞          \033[0m

Integral(1/(1+x**2), (x, -oo, oo)).doit()
${green}π\033[0m

integrate(1/(1+x**2), (x, -oo, oo))
${green}π\033[0m


${mizu}-LIMIT-\033[0m
${blue}────────────────────────────────────────────────────────────────────
${violet}limit\033[0m
limit(sin(x)/x, x, 0)
${green}1\033[0m

Limit((x^2+x-1)/(2*x^2-x+2), x, oo)
${green}    ⎛  2         ⎞
${green}    ⎜ x  + x - 1 ⎟
${green}lim ⎜────────────⎟
${green}x─→∞⎜   2        ⎟
${green}    ⎝2⋅x  - x + 2⎠\033[0m

Limit((x^2+x-1)/(2*x^2-x+2), x, oo).doit()
${green}1/2\033[0m

limit((x^2+x-1)/(2*x^2-x+2), x, oo)
${green}1/2\033[0m

limit(tan(x), x, pi/2, '+')
${green}-∞\033[0m

limit(tan(x), x, pi/2, '-')
${green}∞\033[0m


${mizu}-MATRIX-\033[0m
${blue}────────────────────────────────────────────────────────────────────
${violet}Matrix\033[0m
Matrix([[1, 2], [2, 2]])
${green}⎡1  2⎤
${green}⎢    ⎥
${green}⎣2  2⎦\033[0m

Matrix([[1, 2], [2, 2]])**2
${green}⎡5  6⎤
${green}⎢    ⎥
${green}⎣6  8⎦\033[0m

eye(3)
${green}⎡1  0  0⎤
${green}⎢       ⎥
${green}⎢0  1  0⎥
${green}⎢       ⎥
${green}⎣0  0  1⎦\033[0m

zeros(3)
${green}⎡0  0  0⎤
${green}⎢       ⎥
${green}⎢0  0  0⎥
${green}⎢       ⎥
${green}⎣0  0  0⎦\033[0m

ones(3)
${green}⎡1  1  1⎤
${green}⎢       ⎥
${green}⎢1  1  1⎥
${green}⎢       ⎥
${green}⎣1  1  1⎦\033[0m

diag(1, 2, 3)
${green}⎡1  0  0⎤
${green}⎢       ⎥
${green}⎢0  2  0⎥
${green}⎢       ⎥
${green}⎣0  0  3⎦\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}A.det()\033[0m
Matrix([[1, 2], [2, 2]]).det()
${green}-2\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}A.inv()\033[0m
Matrix([[1, 2], [2, 2]]).inv()
${green}⎡-1   1  ⎤
${green}⎢        ⎥
${green}⎣1   -1/2⎦\033[0m

Matrix([[1, 2], [2, 2]])**(-1)
${green}⎡-1   1  ⎤
${green}⎢        ⎥
${green}⎣1   -1/2⎦\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}A.adjugate()\033[0m
Matrix([[1, 2], [3, 4]]).adjugate()
${green}⎡4   -2⎤
${green}⎢      ⎥
${green}⎣-3  1 ⎦\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}A.transpose()\033[0m
Matrix([[1, 2], [3, 4]]).transpose()
${green}⎡1  3⎤
${green}⎢    ⎥
${green}⎣2  4⎦\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}A.rank()\033[0m
Matrix([[1, 2, 3], [4, 5, 0], [0, 0, 0]]).rank()
${green}2\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}A.eigenvals()\033[0m
Matrix([[1, 2], [2, 2]]).eigenvals()
${green}⎧3   √17     3   √17   ⎫
${green}⎨─ - ───: 1, ─ + ───: 1⎬
${green}⎩2    2      2    2    ⎭\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}A.eigenvects()\033[0m
Matrix([[1, 2], [2, 2]]).eigenvects()
${green}⎡⎛            ⎡⎡  √17   1⎤⎤⎞  ⎛            ⎡⎡  1   √17⎤⎤⎞⎤
${green}⎢⎜3   √17     ⎢⎢- ─── - ─⎥⎥⎟  ⎜3   √17     ⎢⎢- ─ + ───⎥⎥⎟⎥
${green}⎢⎜─ - ───, 1, ⎢⎢   4    4⎥⎥⎟, ⎜─ + ───, 1, ⎢⎢  4    4 ⎥⎥⎟⎥
${green}⎢⎜2    2      ⎢⎢         ⎥⎥⎟  ⎜2    2      ⎢⎢         ⎥⎥⎟⎥
${green}⎣⎝            ⎣⎣    1    ⎦⎦⎠  ⎝            ⎣⎣    1    ⎦⎦⎠⎦\033[0m


${mizu}-ZETA-\033[0m
${blue}────────────────────────────────────────────────────────────────────
${violet}zeta\033[0m
zeta(2)
${green} 2
${green}π 
${green}──
${green}6 \033[0m

zeta(-1)
${green}-1/12\033[0m

${blue}────────────────────────────────────────────────────────────────────
${violet}zetazero\033[0m
zetazero(1)
${green}(0.5 + 14.13472514173469j)\033[0m


${mizu}-Boolean-valued check-\033[0m
${blue}────────────────────────────────────────────────────────────────────
${violet}==\033[0m
1+1 == 3
${green}False\033[0m

expand((x+y)**2) == x**2+2*x*y+y**2
${green}True\033[0m


${mizu}-mpmath floating-point-\033[0m
${blue}────────────────────────────────────────────────────────────────────
(-2)**mpf("0.5")
${green}(0.0 + 1.4142135623730950488016887242096980785696718753769j)\033[0m


${mizu}-PLOT-\033[0m
${blue}────────────────────────────────────────────────────────────────────
${violet}from spb import *  # SymPy Plotting Backends (SPB)\033[0m
${violet}import japanize_matplotlib\033[0m
${violet}import matplotlib.pyplot as plt\033[0m

plot(sin(x), (x, 0, 7), ylabel = "y")

graphics(line(sin(x)),axis_center="auto", grid=False)

p1 = plot_list([2], [4],
legend=True,
is_point = True,
line_color = "red",
show = False)
p2 = plot(x**2, (x, 0, 3),
line_color = "blue",
show = False)
(p1+p2).show()

f1 = x
f2 = x**2
f3 = sin(x)
plot((f1,"1次関数"), (f2, "2次関数"),(f3,"三角関数"),
(x, 0, 4),
rendering_kw=[{"color":"red"},{"color":"blue"},{"color":"green"}],
backend=MB,  # Choromeブラウザー出力
title = "backend=MB (MatplotlibBackend)",
axis_center="auto",
grid=True,
xlabel = "x",
ylabel = "y")

f1 = x
f2 = x**2
f3 = sin(x)
plot((f1,"1次関数"), (f2, "2次関数"),(f3,"三角関数"),
(x, -2, 2),
backend=BB,  # Choromeブラウザー出力
title = "backend=BB (BokehBackend)",
xlabel = "x",
ylabel = "y")

f1 = x
f2 = x**2
f3 = sin(x)
plot((f1,"1次関数"), (f2, "2次関数"),(f3,"三角関数"),
(x, -2, 2),
backend=PB,  # Choromeブラウザー出力
title = "backend=PB (PlotyBackend)",
xlabel = "x",
ylabel = "y")

p = plot(sin(x), (x, -pi, pi), ylabel="sin x", axis_center="auto",backend=MB, show=False)
ax = p.ax
ax.set_xlabel("x:時間", loc="right")
ax.set_ylabel("y:長さ", loc="top", rotation=0,labelpad=-30)
plt.legend()
plt.show()

plot_parametric(2 * cos(u) + 5 * cos(2 * u / 3),
2 * sin(u) - 5 * sin(2 * u / 3),
(u, 0, 6 * pi), 
aspect='equal')


${mizu}-math -- 数学関数-\033[0m
${blue}────────────────────────────────────────────────────────────────────
${violet}math.ceil(x)\033[0m
${violet}math.comb(n, k)\033[0m
${violet}math.copysign(x, y)\033[0m
x の大きさ (絶対値) で y と同じ符号の浮動小数点数を返します。
${violet}math.fabs(x)\033[0m
${violet}math.factorial(n)\033[0m
${violet}math.floor(x)\033[0m
${violet}math.fmod(x, y)\033[0m
一般には浮動小数点の場合には関数 fmod() 、整数の場合には x % y を使う方がよい
${violet}math.frexp(x)\033[0m
x の仮数と指数を (m, e) のペアとして返します
${violet}math.fsum(iterable)\033[0m
${violet}math.gcd(*integers)\033[0m
${violet}math.isclose(a, b, *, rel_tol=1e-09, abs_tol=0.0)\033[0m
値 a と b が互いに近い場合 True を、そうでない場合は False を返します。
${violet}math.isfinite(x)\033[0m
${violet}math.isinf(x)\033[0m
${violet}math.isnan(x)\033[0m
${violet}math.lcm(*integers)\033[0m
${violet}math.ldexp(x, i)\033[0m
x * (2**i) を返します
${violet}math.modf(x)\033[0m
x の小数部分と整数部分を返します。
${violet}math.nextafter(x, y, steps=1)\033[0m
${violet}math.perm(n, k=None)\033[0m
${violet}math.prod(iterable, *, start=1)\033[0m
${violet}math.remainder(x, y)\033[0m
${violet}math.sumprod(p, q)\033[0m
${violet}math.trunc(x)\033[0m
${violet}math.ulp(x)\033[0m
${violet}math.cbrt(x)\033[0m
${violet}math.exp(x)\033[0m
${violet}math.exp2(x)\033[0m
${violet}math.expm1(x)\033[0m
${violet}math.log(x[, base])\033[0m
${violet}math.log1p(x)\033[0m
${violet}math.log2(x)\033[0m
${violet}math.log10(x)\033[0m
${violet}math.sqrt(x)\033[0m
${violet}math.acos(x)\033[0m
${violet}math.asin(x)\033[0m
${violet}math.atan(x)\033[0m
${violet}math.atan2(y, x)\033[0m
${violet}math.cos(x)\033[0m
${violet}math.dist(p, q)\033[0m
${violet}math.hypot(*coordinates)\033[0m
${violet}math.sin(x)\033[0m
${violet}math.tan(x)\033[0m
${violet}math.degrees(x)\033[0m
${violet}math.radians(x)\033[0m
${violet}math.acosh(x)\033[0m
${violet}math.asinh(x)\033[0m
${violet}math.atanh(x)\033[0m
${violet}math.cosh(x)\033[0m
${violet}math.sinh(x)\033[0m
${violet}math.tanh(x)\033[0m
${violet}math.erf(x)\033[0m
${violet}math.erfc(x)\033[0m
${violet}math.gamma(x)\033[0m
${violet}math.lgamma(x)\033[0m
${violet}math.pi\033[0m
${violet}math.e\033[0m
${violet}math.tau\033[0m
${violet}math.inf\033[0m
${violet}math.nan\033[0m

EOF
)




# 複数行コード ヘッダー部分 ライブラリ
EXECPRE=$(cat << EOF
import math
from mpmath import *
from pprint import pprint
mp.pretty = True
from sympy import *
from spb import *  # SymPy Plotting Backends (SPB)
import japanize_matplotlib
import matplotlib.pyplot as plt

from fractions import Fraction as Frac
init_printing()
#init_printing(order='rev-lex')
var('a:z')
f = Function('f')

#
# Enter your code below
# Press ## in Last Line
#
EOF
)



# 本体
# コマンド pc
function pc(){


echo -e "${green}pc $pcversion\n\033[0mOne Line Python(SymPy) Code Calculator"
echo -e "Type [n][c][f][mpf][r][m][M][h][s][math][qq] for option"
echo -e " ${mizu}[n]\033[0mprecision n digits ${mizu}[c]\033[0mMultiple Code ${mizu}[f]\033[0mFrac ${mizu}[mpf]\033[0mmpf ${mizu}[r]\033[0mRump ${mizu}[m]\033[0mless Manual"
echo -e " ${mizu}[M]\033[0mOpen Manual ${mizu}[h]\033[0mOpen history ${mizu}[s]\033[0mOpen SymPy Web ${mizu}[math]\033[0mOpen Math module Web ${mizu}[qq]\033[0mQuit pc\n"


unset eq
unset N
mode=''

while :
do

while :
do
    echo -e "One Line Code > \$eq ${mizu}[n]\033[0m${yellow}${N:-16}\033[0m${mizu}digits [c][f][mpf][r][m][M][h][s][math][qq]\033[0m"

    read VAR
    case "$VAR" in
    n )  echo -e -n "${mizu}precision \033[0m${green}${N:-16}\033[0m${mizu}digits > \033[0m" && read N ; continue ;;
    c )  mode="exec" ; break ;;
    f )  mode="frac" ; break ;;
    mpf )  mode="mpf" ; break ;;
    r )  mode="rump" ; break ;;
    m )  helppc ; continue ;;
    M )  helpe ; continue ;;
    h )  pcl ; continue ;;
    s )  pcd && continue ;;
    math )  pcmath && continue ;;
#  c1 )   blue='\033[94m';violet='\033[95m';green='\033[92m';mizu='\033[96m';red='\033[91m' ; continue ;;
#  c2 )   blue='\033[1;30m';violet='\033[1;30m';green='\033[1;30m';mizu='\033[1;30m'; continue ;;
    qq )  mode="quit" ; break ;;
#  sss ) sss ; break ;;
     * )  mode="just" ; echo -n "" > $PCDIR/pceq.txt ; echo $VAR | sed -e 's%\^%**%g' > $PCDIR/pceq.txt && eq=$(<$PCDIR/pceq.txt) ; break ;;
    esac
done

[ "$mode" = "exec" ] && echo -e "${green}[c]Multiple Code + ## >\033[0m" && echo "$EXECPRE" && eqq="" && IFS=$'\n' &&
while :
do
  read v
  eqq+=$v'\n'
  if [ $v = "##" ]; then
    break
  fi
done
echo -e "$eqq" > $PCDIR/pceq.txt

[ "$mode" = "frac" ] && echo -e "${green}[f]eq(one liner code) >\033[0m" && read eqq && echo "$eqq" >> $PCDIR/pchistory.txt && echo $eqq | sed -e 's%[0-9]\+/[0-9]\+%Frac("&").limit_denominator()%g' -e 's%\^%**%g' > $PCDIR/pceq.txt && eq=$(<$PCDIR/pceq.txt)

[ "$mode" = "mpf" ] && echo -e "${green}[mpf]eq(one liner code) >\033[0m" && read eqq && echo $eqq | sed -e 's%[0-9]\+\.*[0-9]*%mpf("&")%g' -e 's%\^%**%g' > $PCDIR/pceq.txt && eq=$(<$PCDIR/pceq.txt)

[ "$mode" = "rump" ] && echo -e "${green}Rump"\'"s example Test\033[0m" && eq="rump"

[ "$mode" = "quit" ] && echo -e "${green}Quit pc\033[0m" && break



COMMAND=$(cat << EOF
$(echo date "+%Y.%m.%d-%H:%M:%S") >> $PCDIR/pchistory.txt
echo "$eq" >> $PCDIR/pchistory.txt
echo "" >> $PCDIR/pchistory.txt
echo -E "
import math
from fractions import Fraction as Frac
from mpmath import *
from pprint import pprint
mp.pretty = True
from sympy import *
from spb import *  # SymPy Plotting Backends (SPB)
import japanize_matplotlib
import matplotlib.pyplot as plt

init_printing() #降べきの順
# init_printing(order='rev-lex') #昇べきの順
var('a:z')
f = Function('f')

GRE='$green'
RED='$red'
VIO='$violet'
END='\033[0m'

mp.dps = ${N:-16}
# mp.prec = 200
# print(GRE+'\n[0]print(eq)'+END)
# print($eq)

print(VIO+'\n[1]pprint(eq,use_unicode=False)'+END)
print(GRE,end='')
pprint($eq,use_unicode=False)
print(END,end='')

print(VIO+'\n[2]pprint(eq,use_unicode=True)'+END)
print(GRE,end='')
pprint($eq,use_unicode=True)
print(END,end='')

print(VIO+'\n[3]pprint(eval(eq), order="rev-lex")'+END)
print(GRE,end='')
pprint(eval('$eq'), order='rev-lex')
print(END,end='')

print(VIO+'\n[4]print(eval(eq))'+END)
print(GRE,end='')
print(eval('$eq'))
print(END,end='')

print(VIO+'\n[5]N(eq,${N:-16})'+END)
try:
    N($eq,${N:- 16})
except AttributeError:
    print(RED+'No Numerical Evaluation'+END)
else:
    print(GRE,end='')
    pprint(N($eq,${N:-16}))
    print(END,end='')

print(VIO+'\n[6]latex(eval(eq))'+END)
try:
    latex(eval('$eq'))
except AttributeError:
    print(RED+'No Output in LaTeX'+END)
else:
    print(GRE,end='')
    print(latex(eval('$eq')))
    print(END,end='')

print(VIO+'\n[7]latex(N(eq,${N:-16}))'+END)
try:
    latex(N($eq,${N:-16}))
except AttributeError:
    print(RED+'No Output in LaTeX'+END)
else:
    print(GRE,end='')
    print(latex(N($eq,${N:-16})))
    print(END,end='')
print('\n')
" | python

EOF

)


# モード毎
case $mode in
just )
eval "${COMMAND}"
;;


exec )
date "+%Y.%m.%d-%H:%M:%S" >> $PCDIR/pchistory.txt
echo -e "$eqq" >> $PCDIR/pchistory.txt
echo -E "
import math
from mpmath import *
from pprint import pprint
mp.pretty = True
from sympy import *
from spb import *  # SymPy Plotting Backends (SPB)
import japanize_matplotlib
import matplotlib.pyplot as plt

from fractions import Fraction as Frac
init_printing()
#init_printing(order='rev-lex')
var('a:z')
f = Function('f')

GRE='$green'
RED='$red'
VIO='$violet'
END='\033[0m'

mp.dps = ${N:- 16}

print(VIO+'\n[8]exec(eq)'+END)
f = open('$PCDIR/pceq.txt')
cmd = f.read()
print(GRE,end='')
exec(cmd)
print(END)
" | python
echo -n "" > $PCDIR/pceq.txt
;;


frac )
echo $eq && echo -n -e "${green}expression change? [n(ENTER)/y]\033[0m " ; read yn
case "$yn" in [Yy])
read eq ;;
[])
;;
[n])
;;
esac
eval echo $"$COMMAND"
;;


mpf )
echo $eq && echo -n -e "${green}expression change? [n(ENTER)/y]\033[0m " ; read yn
case "$yn" in [Yy])
read eq ;;
[])
;;
[n])
;;
esac
eval "${COMMAND}"
;;


rump )
echo -e -n "${green}precision[default:16] > \033[0m"
read N
$(echo date "+%Y.%m.%d-%H:%M:%S") >> $PCDIR/pchistory.txt
echo "$eq" >> $PCDIR/pchistory.txt
echo -E "
from mpmath import *
mp.pretty = True

a=77617
b=33096
c=333.75*b**6+a**2*(11*a**2*b**2-b**6-121*b**4-2)+5.5*b**8+a/(2*b)
print(f'Normal {c}')

def g(a, b):
    return (mpf('333.75')*b**6 + a**2*(11*a**2*b**2-b**6-121*b**4-2)+mpf('5.5')*b**8+a/(mpf('2')*b))
print('{:6}'.format('mp.dps'))
for mp.dps in range(1, $N+1):
    print('{:6}'.format(mp.dps),g(mpf('77617'), mpf('33096')))
print('')
" | python

esac

done

}

option[m] Manual

スクリーンショット 2024-06-27 18.53.58.
スクリーンショット 2024-06-27 14.18.24.
スクリーンショット 2024-06-27 14.20.10.
スクリーンショット 2024-06-27 14.20.41.
スクリーンショット 2024-06-27 14.21.15.
スクリーンショット 2024-06-27 14.21.38.
スクリーンショット 2024-06-27 14.21.57.
スクリーンショット 2024-06-27 14.22.16.
スクリーンショット 2024-06-27 14.22.37.
スクリーンショット 2024-06-27 14.23.10.
スクリーンショット 2024-06-27 14.23.26.
スクリーンショット 2024-06-27 14.23.43.
スクリーンショット 2024-06-27 14.24.05.
スクリーンショット 2024-06-27 14.24.21.
スクリーンショット 2024-06-27 14.24.37.
スクリーンショット 2024-06-27 14.24.59.
スクリーンショット 2024-06-27 14.25.17.
スクリーンショット 2024-06-27 14.27.13.

投稿日:

One liner SymPy Calculator（一行数式SymPy計算機）Ver.20230508

ターミナルだけですぐに計算できる

基本は一行のPythonSymPyコードをpythonに渡すだけの仕組み
SymPyとmpmathライブラリの関数を使った一行コードが実行できる
以下仕様のようにもろもろのセッティングが不必要
いちいちpythonを起動、コーディングをしなくても計算できることを追求

【条件】

Bash、zshでの使用OK
python実行環境インストール済み
SymPyライブラリ
mpmathライブラリ

実装環境
macOS12.6.5
Python 3.9.16

Ubuntu22.04.2LTS
Python 3.8.16

【仕様】

入力数式はpython文法
シンボリック変数はaからz
シンボリック関数はf 微分方程式用
sympyとmpmathの関数はすべて使える
分数 2/3 を Frac(2,3)またはFrac(2/3)とすれば分数として計算・出力
おまけ　Rumpの例題の検証　入力にrump

【使い方】

ターミナルで

$ pycalc

で本体起動

数値計算式・代数式を入力（変数eq）・rump:
演算精度の桁数（デフォルト1）:

ターミナルで

$ pycalcl

で過去入力コードを記録した
$HOME/myscript/pycalcl.txt
を開く

【5通りの出力】

pprint($eq,use_unicode=False)
pprint($eq,use_unicode=True)
pprint(eval('$eq'))
print(eval('$eq'))
pprint(N($eq,${N:- 1}))

【インストール】

HOMEにディレクトリmyscriptをつくる
HOME/myscriptに
pycalc.sh
pycalcl.txt
を配置

MacOSのzshの場合.zshrcに
ubuntuのBashの場合.bashrcに
に以下を追記

source $HOME/myscript/pycalc.sh

一行数式SymPy計算機シェルスクリプト pycalc.sh

# pycalc.sh
function pycalcl(){
open $HOME/myscript/pycalcl.txt
}

function pycalc(){
echo '【One liner SymPy Calculator（一行数式SymPy計算機）】Ver.20230508'
echo '　商// 剰余% 商と剰余divmod()分数2/3 Frac(2,3) 平方根sqrt(2) 三角関数sin(pi/3) 指数exp() 自然対数log(E**2) 常用対数log(2,10)'
echo '　虚数j(標準) (2+3j)*(5-7j)'
echo '　虚数I(SymPy) exp(cos(E**I)+sin(E*pi)) I**I'
echo '　素因数分解 factorint(1000) 階乗factorial(10)'
echo '　代数演算 シンボリック変数aからz expand((x+y)**10) factor(a**10-b**10) '
echo '　数列 Sum(k**2,(k,1,n)).doit()'
echo '　方程式 solve(a*x**2+b*x+c,x) 連立方程式 solve([x+y-4,x-y-2],[x,y])'
echo '　微分方程式 変数はf限定 dsolve(Eq(f(t).diff(t, t) - f(t), exp(t)), f(t))'
echo '　微分 diff(x**2,x) 積分integrate(x**3,x) 定積分integrate(x**3,(x,0,1))'
echo '　無限oo integrate(1/(1+x**2), (x, -oo, oo)) '
echo '　テイラー展開 series(sin(x),x, 0, 12)'
echo '　テイラー展開 係数リスト taylor(sin, 0, 5)'
echo '　行列 Matrix([[1, 2], [2, 2]]).eigenvals()'
echo '　関・ベルヌーイ数 bernoulli()'
echo '　ゼータ zeta() zetazero()'
echo '　ブール値検算 1+1 == 3   expand((x+y)**2) == x**2 + 2*x*y + y**2'
echo '　グラフ plot(x**2, (x, -1, 2), ylabel = "y")'
echo '　mpmath任意精度浮動小数点演算パッケージによる精度計算 (-2)**mpf("0.5")'
echo '　Rumpの例題 入力にrump https://ja.wikipedia.org/wiki/%E7%B2%BE%E5%BA%A6%E4%BF%9D%E8%A8%BC%E4%BB%98%E3%81%8D%E6%95%B0%E5%80%A4%E8%A8%88%E7%AE%97'

echo -e '\n数値計算式・代数式（変数eq）・rump:'
read eq
echo -n '\n演算精度の桁数（デフォルト1）:'
read N
echo "$eq" >> $HOME/myscript/pycalcl.txt
echo -E "
from mpmath import *
mp.pretty = True
from sympy import *
from fractions import Fraction as Frac
init_printing()
var('a:z')
f = Function('f')

rump = 'rump'
if $eq == 'rump':
    a=77617
    b=33096
    c=333.75*b**6+a**2*(11*a**2*b**2-b**6-121*b**4-2)+5.5*b**8+a/(2*b)
    print(f'通常計算{c}')

    def g(a, b):
        return (mpf('333.75')*b**6 + a**2*(11*a**2*b**2-b**6-121*b**4-2)+mpf('5.5')*b**8+a/(mpf('2')*b))
    for mp.dps in range(1, $N+1):
        print(mp.dps,g(mpf('77617'), mpf('33096')))
else:
    mp.dps = ${N:- 1}
    # mp.prec = 200
    print('\npprint($eq,use_unicode=False)')
    pprint($eq,use_unicode=False)

    print('\npprint($eq,use_unicode=True)')
    pprint($eq,use_unicode=True)

    print('\npprint(eval(eq))')
    pprint(eval('$eq'))

    print('\nprint(eval(eq))')
    print(eval('$eq'))

    print('\nN($eq,${N:- 1})')
    pprint(N($eq,${N:- 1}))
" | python
}

使用例

初等関数・分数

スクリーンショット 2023 05 08 12 00 14

虚数

スクリーンショット 2023 05 08 12 00 35

分数

スクリーンショット 2023 05 08 12 00 50

方程式

スクリーンショット 2023 05 08 12 01 05

逆行列

スクリーンショット 2023 05 08 12 01 19

微分方程式

スクリーンショット 2023 05 08 12 01 32

検算

スクリーンショット 2023 05 08 12 01 46

検算

スクリーンショット 2023 05 08 12 01 59

任意精度浮動小数点演算

スクリーンショット 2023 05 08 12 02 43

Rumpの例題の検証

スクリーンショット 2023 05 08 12 03 21

投稿日:

ubuntu ケンジントンターボマウスのボタン割り当て

ケンジントンターボマウスには4つのボタンがあります。
Macで使用する際には、右上ボタンにMission Control（^↑）を割り当てています
ボタン割り当てはkensington TrackballWorksで簡単に設定することができます

ubuntuではそのようなアプリケーションがありません
ubuntuでも右上ボタンにMission Controlに相当する機能を割り当てたいと思いその方法を探りました