June Steenkamp -- mother of 29-year-old model Reeva Steenkamp -- also told Britain's newspaper The Times that she and her husband Barry were haunted by images of the shooting, for which Pistorius was sentenced to a five-year jail term.
"Her clothes were packed. There is no doubt in our minds: she had decided to leave Oscar that night," she wrote in her new book, serialised in the Times, adding that her daughter had confided to her that she "had not slept" with the runner and was "scared to take the relationship to that level".
Pistorius, the first double amputee Paralympian to compete against able-bodied athletes at the 2012 London Olympics, said he shot Steenkamp four times through a locked door to the bathroom in his Pretoria home because he mistakenly believed there was an intruder inside.
In "Reeva: a Mother's Story", June Steenkamp wrote that she was "shocked" that the athlete was found guilty only of culpable homicide, or manslaughter.
She called Pistorius "arrogant", "moody", "volatile" and "combustible", saying he was a "trigger-happy" gun lover who was "possessive" of her daughter.