# Display error msg, making parameter substitutions as needed
msgParameters="$*"
- printf "$msgTemplate" "${msgParameters[@]}"
+ printf '%s ' "$msgTemplate" "${msgParameters[@]}"; printf '\n'
if ((returnDontExit)); then
return "$returnCode"
((isNegative2)) && ((integerPart2*=-1))
local sum=$((integerPart1 + integerPart2))
if (( (!isSubcall) && (isScientific1 || isScientific2) )); then
- _shellmath_numToScientific $sum ""
+ _shellmath_numToScientific $sum ""
_shellmath_getReturnValue sum
fi
_shellmath_setReturnValue $sum
# Summing the fractional parts is tricky: We need to override the shell's
# default interpretation of leading zeros, but the operator for doing this
# (the "10#" operator) cannot work directly with negative numbers. So we
- # break it all down.
- if ((isNegative1)); then
- ((fractionalSum += (-1) * 10#${fractionalPart1:1}))
- else
- ((fractionalSum += 10#$fractionalPart1))
- fi
- if ((isNegative2)); then
- ((fractionalSum += (-1) * 10#${fractionalPart2:1}))
- else
- ((fractionalSum += 10#$fractionalPart2))
- fi
+ # use parameter expansions to separate the \+/-\ signs from the numbers.
+
+ ((fractionalSum =
+ ${fractionalPart1//[^-]}10#${fractionalPart1//[^0-9]} +
+ ${fractionalPart2//[^-]}10#${fractionalPart2//[^0-9]}))
unsignedFracSumLength=${#fractionalSum}
if [[ "$fractionalSum" =~ ^[-] ]]; then
fi
# Carry a digit from fraction to integer if required
- if ((10#$fractionalSum!=0 && unsignedFracSumLength > unsignedFracLength)); then
+ if (( ${fractionalSum//[^-]}10#${fractionalSum//[^0-9]} !=0 )) &&
+ ((unsignedFracSumLength > unsignedFracLength))
+ then
local carryAmount
((carryAmount = isNegative1?-1:1))
((integerSum += carryAmount))
# pair (-2,3) is not -2.3 but rather (-2)+(0.3), i.e. -1.7 so we want to
# transform (-2,3) to (-1,7). This transformation is meaningful when
# the two parts have opposite signs, so that's what we look for.
- if ((integerSum < 0 && 10#$fractionalSum > 0)); then
+ if ((integerSum < 0)) &&
+ (( ${fractionalSum//[^-]}10#${fractionalSum//[^0-9]} > 0))
+ then
((integerSum += 1))
- ((fractionalSum = 10#$fractionalSum - 10**unsignedFracSumLength))
- elif ((integerSum > 0 && 10#$fractionalSum < 0)); then
+ ((fractionalSum = ${fractionalSum//[^-]}10#${fractionalSum//[^0-9]} -
+ 10**unsignedFracSumLength))
+ elif ((integerSum > 0)) &&
+ (( ${fractionalSum//[^-]}10#${fractionalSum//[^0-9]} < 0))
+ then
((integerSum -= 1))
- ((fractionalSum = 10**unsignedFracSumLength + 10#$fractionalSum))
+ ((fractionalSum = 10**unsignedFracSumLength +
+ ${fractionalSum//[^-]}10#${fractionalSum//[^0-9]} ))
fi
# This last case needs to function either as an "else" for the above,
# or as a coda to the "if" clause when integerSum is -1 initially.
- if ((integerSum == 0 && 10#$fractionalSum < 0)); then
+ if ((integerSum == 0)) &&
+ (( ${fractionalSum//[^-]}10#${fractionalSum//[^0-9]} < 0))
+ then
integerSum="-"$integerSum
((fractionalSum *= -1))
fi
# Touch up the numbers for display
local sum
- ((10#$fractionalSum < 0)) && fractionalSum=${fractionalSum:1}
+ (( ${fractionalSum//[^-]}10#${fractionalSum//[^0-9]}< 0)) &&
+ fractionalSum=${fractionalSum//[-]}
if (( (!isSubcall) && (isScientific1 || isScientific2) )); then
_shellmath_numToScientific "$integerSum" "$fractionalSum"
_shellmath_getReturnValue sum
- elif ((10#$fractionalSum)); then
+ elif (( ${fractionalSum//[^-]}10#${fractionalSum//[^0-9]} )); then
printf -v sum "%s.%s" "$integerSum" "$fractionalSum"
else
sum=$integerSum
fi
# Note the result, print if running "normally", and return
- _shellmath_setReturnValue $sum
+ _shellmath_setReturnValue "$sum"
if (( isVerbose && ! isSubcall )); then
echo "$sum"
fi
fi
# Discard the least-significant digits or move them past the decimal point
- value1=${value1%${tail1}}
+ value1=${value1%"${tail1}"}
[[ -n "$subvalue1" ]] && subvalue1=${tail1}${subvalue1%0} # remove placeholder zero
- value2=${value2%${tail2}}
+ value2=${value2%"${tail2}"}
[[ -n "$subvalue2" ]] && subvalue2=${tail2}${subvalue2%0}
else
# Signal the caller that no rescaling was actually done
number=${number:0:digitCount}
if ((nextDigit >= 5)); then
- printf -v number "%0*d" "$digitCount" $((10#$number + 1))
+ printf -v number "%0*d" "$digitCount" $((${number//[^-]}10#${number//[^0-9]} + 1))
fi
_shellmath_setReturnValue "$number"
# Overflow / underflow detection and accommodation
local rescalingFactor=0
- if ((${#integerPart1} + ${#integerPart2} + ${#fractionalPart1} + ${#fractionalPart2} >= ${__shellmath_precision})); then
+ if ((${#integerPart1} + ${#integerPart2} + ${#fractionalPart1} + ${#fractionalPart2} >= __shellmath_precision)); then
_shellmath_reduceOuterPairs "$integerPart1" "$integerPart2" "$fractionalPart1" "$fractionalPart2"
_shellmath_getReturnValues integerPart1 integerPart2 fractionalPart1 fractionalPart2 rescalingFactor
- if ((10#$fractionalPart1)); then type1=${__shellmath_numericTypes[DECIMAL]}; fi
- if ((10#$fractionalPart2)); then type2=${__shellmath_numericTypes[DECIMAL]}; fi
+ if ((${fractionalPart1//[^-]}10#${fractionalPart1//[^0-9]})); then
+ type1=${__shellmath_numericTypes[DECIMAL]}
+ fi
+ if ((${fractionalPart2//[^-]}10#${fractionalPart2//[^0-9]})); then
+ type2=${__shellmath_numericTypes[DECIMAL]}
+ fi
_shellmath_reduceCrossPairs "$integerPart1" "$integerPart2" "$fractionalPart1" "$fractionalPart2"
_shellmath_getReturnValues fractionalPart1 fractionalPart2
_shellmath_getReturnValue product
fi
if (( (!isSubcall) && (isScientific1 || isScientific2) )); then
- _shellmath_numToScientific $product ""
+ _shellmath_numToScientific $product ""
_shellmath_getReturnValue product
fi
_shellmath_setReturnValue $product
fractionalWidth1=${#fractionalPart1}
fractionalWidth2=${#fractionalPart2}
((floatWidth = fractionalWidth1 + fractionalWidth2))
- ((floatProduct = 10#$fractionalPart1 * 10#$fractionalPart2))
+ ((floatProduct =
+ ${fractionalPart1//[^-]}10#${fractionalPart1//[^0-9]} *
+ ${fractionalPart2//[^-]}10#${fractionalPart2//[^0-9]}))
if ((${#floatProduct} < floatWidth)); then
printf -v floatProduct "%0*d" "$floatWidth" "$floatProduct"
fi
# Compute the inner products: First integer-multiply, then rescale
- ((innerProduct1 = integerPart1 * 10#$fractionalPart2))
- ((innerProduct2 = integerPart2 * 10#$fractionalPart1))
+ ((innerProduct1 = integerPart1 * ${fractionalPart2//[^-]}10#${fractionalPart2//[^0-9]}))
+ ((innerProduct2 = integerPart2 * ${fractionalPart1//[^-]}10#${fractionalPart1//[^0-9]}))
# Rescale the inner products back to decimals so we can shellmath_add() them
if ((fractionalWidth2 <= ${#innerProduct1})); then
fi
# Throw error on divide by zero
- if ((integerPart2 == 0 && 10#$fractionalPart2 == 0)); then
+ if ((integerPart2 == 0)) &&
+ (( ${fractionalPart2//[^-]}10#${fractionalPart2//[^0-9]} == 0 ))
+ then
_shellmath_warn "${__shellmath_returnCodes[DIVIDE_BY_ZERO]}" "$n2"
return $?
fi
# Rescale and rewrite the fraction to be computed, and compute it
numerator=${integerPart1}${fractionalPart1}${zeroTail}
denominator=${integerPart2}${fractionalPart2}
- ((quotient = 10#$numerator / 10#$denominator))
+ ((quotient = ${numerator//[^-]}10#${numerator//[^0-9]} /
+ ${denominator//[^-]}10#${denominator//[^0-9]}))
# For greater precision, re-divide by the remainder to get the next digits of the quotient
local remainder quotient_2
- ((remainder = 10#$numerator % 10#$denominator)) # cannot exceed numerator or thus, maxValue
+ ((remainder = ${numerator//[^-]}10#${numerator//[^0-9]} %
+ ${denominator//[^-]}10#${denominator//[^0-9]})) # cant exceed numerator or thus, maxValue
((zeroCount = __shellmath_precision - ${#remainder}))
if ((zeroCount > 0)); then
printf -v zeroTail "%0*d" "$zeroCount" 0
fi
# Derive the new numerator from the remainder. Do not change the denominator.
numerator=${remainder}${zeroTail}
- ((quotient_2 = 10#$numerator / 10#$denominator))
+ ((quotient_2 = ${numerator//[^-]}10#${numerator//[^0-9]} /
+ ${denominator//[^-]}10#${denominator//[^0-9]}))
quotient=${quotient}${quotient_2}
((rescaleFactor += ${#quotient_2}))
printf -v zeroPrefix "%0*d" "$((rescaleFactor - ${#quotient}))" 0
fi
fractionalPart=${zeroPrefix}${quotient}
- _shellmath_round "$fractionalPart" $__shellmath_precision
+ _shellmath_round "$fractionalPart" "$__shellmath_precision"
_shellmath_getReturnValue fractionalPart
quotient="0."${fractionalPart}
else
fractionalPart=${quotient:(-$rescaleFactor)}
- _shellmath_round "$fractionalPart" $__shellmath_precision
+ _shellmath_round "$fractionalPart" "$__shellmath_precision"
_shellmath_getReturnValue fractionalPart
quotient=${quotient:0:(-$rescaleFactor)}"."${fractionalPart}
fi
if [[ "$quotient" =~ [\.].*0$ ]]; then
# If the decimal point IMMEDIATELY precedes the 0s, remove that too
[[ $quotient =~ [\.]?0+$ ]]
- quotient=${quotient%${BASH_REMATCH[0]}}
+ quotient=${quotient%"${BASH_REMATCH[0]}"}
fi
fi
return "$__shellmath_SUCCESS"
}
-