log1p -- logarithm of 1+x

• Usage:

  log1p x

  log1p I

• Inputs:
  • x, a complex number or a real number,
  • I, a real interval,
• Outputs:
  • a real number or a complex number, the logarithm of 1+x
  • a real interval, an interval containing logarithm of 1 plus the points of I

i1 : log1p 1p100e-10

o1 = 9.999999999500000000033333333333e-11

o1 : RR (of precision 100)

i2 : log(1 + 1p100e-10)

o2 = 9.999999999500000000059340457244e-11

o2 : RR (of precision 100)