FollieHiyuki-dotfiles/home/.local/bin/newton

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2021-03-13 10:34:45 -05:00
#!/bin/sh
# validate expression
originalEquation=$(echo "$2" | sed "s/\[/\(/g" | sed "s/\]/\)/g")
parsedExpression=$(echo "$2" | sed "s/\[/\(/g" | sed "s/\]/\)/g" | grep -Eo "[0-9 + -- / * ^ . a-z A-Z ~ : ( ) ]*")
if [ "$parsedExpression" != "$originalEquation" ]; then
echo "Error: Expression contains invalid characters"
return 1
fi
equation=$(echo "$originalEquation" | sed "s:/:(over):g" | sed "s/~/|/g" | sed "s/-/%2D/g")
operation=$(echo "$1" | tr "[[:upper:]]" "[[:lower:]]")
curl -s https://newton.now.sh/api/v2/$operation/"$equation" | grep -Eo '"result":"[a-z A-Z 0-9 ( ) \^ / -- + , ]*' | sed s/'"result":"'//g | tr '"' " "
# Usage: newton [operation] [expression]
# Examples:
# ===================================================
# |Operations Sample Expression Sample Result|
# |---------------------------------------------------|
# |Simplify [[2x^2]+7]*[4x^2] 8 x^4 + 28 x^2 |
# |Factor x^2 + 2x x (x + 2) |
# |Derive x^2+2x 2 x + 2 |
# |Integrate x^2+2x 1/3 x^3 + x^2 +C|
# |Roots/Zeroes x^2+2x 2, 0 |
# |Tangent 2~x^3 12 x + -16 | (Finding tangent line when x=2 for expression x^3)
# |Area 2:4~x^3 60 | (Finding area under curve from 2 to 4 for expression x^3)
# |Cos pi -1 |
# |Sin pi 0 |
# |Tan pi/4 1 |
# |ArcCos 1 0 |
# |ArcSin 0 0 |
# |ArcTan pi arcsin(pi) |
# |Abs -2 2 |
# |Log 2~8 3 | (Log base 2 of eight)
# ===================================================
# Valid Symbols:
# + add
# - subtract
# [ left parenthesis (you must use brackets bash has a bultin for parenthesis)
# ] right parenthesis (you must use brackets bash has a bultin for parenthesis)
# * multiply
# / divide
# ^ power
# : between the range of left and right side (only for area under curve)
# ~ parameter on right side (only for area, tangent line and log)