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# coding: utf-8
require File.dirname(__FILE__) + "/spec_helper"
# The results in these specs were generated at
# http://www.calcul.com/matrix-multiply-3x3-3x3 to ensure correctness.
describe PDF::Reader::TransformationMatrix, "#multiply!" do
class PDF::Reader::TransformationMatrix
# a helper method for tests
def multiply_with_an_object!(m2)
multiply!(
m2.a, m2.b,
m2.c, m2.d,
m2.e, m2.f
)
end
end
context "with [2,3,0 4,5,0 6 7 1]" do
let(:matrix_one) { PDF::Reader::TransformationMatrix.new(2,3,4,5,6,7)}
context "and the identity matrix" do
let(:matrix_two) { PDF::Reader::TransformationMatrix.new(1,0,0,1,0,0)}
it "should leave the values unchanged" do
matrix_one.multiply_with_an_object!(matrix_two)
matrix_one.to_a.should == [2,3,0, 4,5,0, 6,7,1]
end
it "should leave the values unchanged when reversed" do
matrix_two.multiply_with_an_object!(matrix_one)
matrix_two.to_a.should == [2,3,0, 4,5,0, 6,7,1]
end
end
context "and a horizontal displacement" do
let(:matrix_two) { PDF::Reader::TransformationMatrix.new(1,0, 0,1, 10,0)}
it "should set the new matrix values" do
matrix_one.multiply_with_an_object!(matrix_two)
matrix_one.to_a.should == [2,3,0, 4,5,0, 16,7,1]
end
it "should set the new matrix values when reversed" do
matrix_two.multiply_with_an_object!(matrix_one)
matrix_two.to_a.should == [2,3,0, 4,5,0, 26,37,1]
end
end
context "and applying a vertical displacement" do
let(:matrix_two) { PDF::Reader::TransformationMatrix.new(1,0, 0,1, 0,10)}
it "should set the new matrix values" do
matrix_one.multiply_with_an_object!(matrix_two)
matrix_one.to_a.should == [2,3,0, 4,5,0, 6,17,1]
end
it "should set the new matrix values when reversed" do
matrix_two.multiply_with_an_object!(matrix_one)
matrix_two.to_a.should == [2,3,0, 4,5,0, 46,57,1]
end
end
context "and applying a horizontal and vertical displacement" do
let(:matrix_two) { PDF::Reader::TransformationMatrix.new(1,0, 0,1, 10,10)}
it "should set the new matrix values" do
matrix_one.multiply_with_an_object!(matrix_two)
matrix_one.to_a.should == [2,3,0, 4,5,0, 16,17,1]
end
it "should set the new matrix values when reversed" do
matrix_two.multiply_with_an_object!(matrix_one)
matrix_two.to_a.should == [2,3,0, 4,5,0, 66,87,1]
end
end
context "and applying a horizontal scale" do
let(:matrix_two) { PDF::Reader::TransformationMatrix.new(10,0, 0,1, 0,0)}
it "should set the new matrix values" do
matrix_one.multiply_with_an_object!(matrix_two)
matrix_one.to_a.should == [20,3,0, 40,5,0, 60,7,1]
end
it "should set the new matrix values when reversed" do
matrix_two.multiply_with_an_object!(matrix_one)
matrix_two.to_a.should == [20,30,0, 4,5,0, 6,7,1]
end
end
context "and applying a vertical scale" do
let(:matrix_two) { PDF::Reader::TransformationMatrix.new(1,0, 0,10, 0,0)}
it "should set the new matrix values" do
matrix_one.multiply_with_an_object!(matrix_two)
matrix_one.to_a.should == [2,30,0, 4,50,0, 6,70,1]
end
it "should set the new matrix values when reversed" do
matrix_two.multiply_with_an_object!(matrix_one)
matrix_two.to_a.should == [2,3,0, 40,50,0, 6,7,1]
end
end
context "and applying a horizontal and vertical scale" do
let(:matrix_two) { PDF::Reader::TransformationMatrix.new(10,0, 0,10, 0,0)}
it "should set the new matrix values" do
matrix_one.multiply_with_an_object!(matrix_two)
matrix_one.to_a.should == [20,30,0, 40,50,0, 60,70,1]
end
it "should set the new matrix values when reversed" do
matrix_two.multiply_with_an_object!(matrix_one)
matrix_two.to_a.should == [20,30,0, 40,50,0, 6,7,1]
end
end
context "and applying a 30 degree rotation" do
let(:matrix_two) {
PDF::Reader::TransformationMatrix.new(
Math.cos(30), Math.sin(30),
-1*Math.sin(30),Math.cos(30),
0, 0
)
}
it "should set the new matrix values" do
matrix_one.multiply_with_an_object!(matrix_two)
# we can't use #to_a in this test because of all the floating point nums
( "%.3f" % matrix_one.a).should == "3.273"
( "%.3f" % matrix_one.b).should == "-1.513"
( "%.3f" % matrix_one.c).should == "5.557"
( "%.3f" % matrix_one.d).should == "-3.181"
( "%.3f" % matrix_one.e).should == "7.842"
( "%.3f" % matrix_one.f).should == "-4.848"
end
it "should set the new matrix values when reversed" do
matrix_two.multiply_with_an_object!(matrix_one)
# we can't use #to_a in this test because of all the floating point nums
( "%.3f" % matrix_two.a).should == "-3.644"
( "%.3f" % matrix_two.b).should == "-4.477"
( "%.3f" % matrix_two.c).should == "2.593"
( "%.3f" % matrix_two.d).should == "3.735"
( "%.3f" % matrix_two.e).should == "6.000"
( "%.3f" % matrix_two.f).should == "7.000"
end
end
end
end
describe PDF::Reader::TransformationMatrix, "#horizontal_displacement_multiply!" do
context "with [2,3,0 4,5,0 6 7 1]" do
let(:matrix_one) { PDF::Reader::TransformationMatrix.new(2,3,4,5,6,7)}
context "and a horizontal displacement" do
let(:displacement) { 10 }
it "should set the new matrix values" do
matrix_one.horizontal_displacement_multiply!(displacement)
matrix_one.to_a.should == [2,3,0, 4,5,0, 16,7,1]
end
end
end
end
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