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".
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.
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"It was Reeva's bad luck that she met him, because sooner or later he would have killed someone," she added.
Proceeds from the book will help ease the family's financial difficulties, and help kick off fundraising efforts to set up a foundation for abused women in South Africa, according to the English-born mother.
"I think she would have wanted us to have some money," she said. "Imagine going through this trauma, suffering, pain and having no money. Sometimes not even for food or anything."
But financial security will not ease the pain of losing a daughter, she added.
"It's always there. The minute your eyes open in the morning, or if you wake up in the middle of the night, there it is.