++ed by:
Kevin Ryde
and 1 contributors

# NAME

Math::NumSeq::DigitLengthCumulative -- total length in digits of numbers 1 to i

# SYNOPSIS

use Math::NumSeq::DigitLengthCumulative;
my \$seq = Math::NumSeq::DigitLengthCumulative->new (radix => 10);
my (\$i, \$value) = \$seq->next;

# DESCRIPTION

The total length of numbers 0 to i, starting from i=0.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 16, 18, 20, 22, 24, 26, ...

"0" is taken to be a single digit, so the initial i=0 is total length 1. Then it's length 1 more for each of i=1 to i=9, then at i=10 length 2 more, etc.

The default is decimal, or the optional radix parameter can select another base. For example radix => 3 ternary,

1, 2, 3, 5, 7, 9, 11, 13, 15, 18, 21, 24, 27, 30, ...

# FUNCTIONS

See "FUNCTIONS" in Math::NumSeq for behaviour common to all sequence classes.

\$seq = Math::NumSeq::DigitLengthCumulative->new (radix => \$r)

Create and return a new sequence object.

## Random Access

\$value = \$seq->ith(\$i)

Return total length in digits of the numbers 0 to \$i, inclusive.

\$bool = \$seq->pred(\$value)

Return true if \$value occurs in the sequence.

\$i = \$seq->value_to_i_floor(\$value)

Return the index i of \$value or of the next cumulative total below \$value.

\$i = \$seq->value_to_i_estimate(\$value)

Return an estimate of the i corresponding to \$value.