What is claimed is:1. A moving picture coding device using a triangle merge mode, the moving picture coding device comprising:a triangle merging candidate list constructor structured to a construct a triangle merging candidate list including spatial merging candidates;a first triangle merging candidate selector structured to select, from the triangle merging candidate list, a first triangle merging candidate that is uni-prediction, wherein the first triangle merging candidate is used in a triangle partition above a diagonal line of the triangle partition splitting a coding block; anda second triangle merging candidate selector structured to select, from the triangle merging candidate list, a second triangle merging candidate that is uni-prediction, wherein the second triangle merging candidate is used in a triangle partition below the diagonal line, whereinin a region where motion compensation by weighted averaging by the first triangle merging candidate and the second triangle merging candidate is performed, uni-prediction motion information of the second triangle merging candidate is stored in a coding information storage memory so that the uni-prediction motion information can be referred to as inter prediction information neighboring the coding block without storing bi-prediction motion information which is converted from motion information of list L0 and motion information of List L1.2. A moving picture coding method using a triangle merge mode, the moving picture coding method comprising:a triangle merging candidate list constructing step for constructing a triangle merging candidate list including spatial merging candidates;a first triangle merging candidate selecting step for selecting, from the triangle merging candidate list, a first triangle merging candidate that is uni-prediction, wherein the first triangle merging candidate is used in a triangle partition above a diagonal line of the triangle partition splitting a coding block; anda second triangle merging candidate selecting step for selecting, from the triangle merging candidate list, a second triangle merging candidate that is uni-prediction, wherein the second triangle merging candidate is used in a triangle partition below the diagonal line, whereinin a region where motion compensation by weighted averaging by the first triangle merging candidate and the second triangle merging candidate is performed, uni-prediction motion information of the second triangle merging candidate is stored in a coding information storage memory so that the uni-prediction motion information can be referred to as inter prediction information neighboring the coding block without storing bi-prediction motion information which is converted from motion information of list L0 and motion information of List L1.3. A non-transitory computer-readable medium storing a moving picture coding program using a triangle merge mode, that in response to execution, causes a computer to perform operations comprising:a triangle merging candidate list constructing step for constructing a triangle merging candidate list including spatial merging candidates;a first triangle merging candidate selecting step for selecting, from the triangle merging candidate list, a first triangle merging candidate that is uni-prediction, wherein the first triangle merging candidate is used in a triangle partition above a diagonal line of the triangle partition splitting a coding block; anda second triangle merging candidate selecting step for selecting, from the triangle merging candidate list, a second triangle merging candidate that is uni-prediction, wherein the second triangle merging candidate is used in a triangle partition below the diagonal line, whereinin a region where motion compensation by weighted averaging by the first triangle merging candidate and the second triangle merging candidate is performed, uni-prediction motion information of the second triangle merging candidate is stored in a coding information storage memory so that the uni-prediction motion information can be referred to as inter prediction information neighboring the coding block without storing bi-prediction motion information which is converted from motion information of list L0 and motion information of List L1.4. A moving picture decoding device using a triangle merge mode, the moving picture decoding device comprising:a triangle merging candidate list constructor structured to construct a triangle merging candidate list including spatial merging candidates;a first triangle merging candidate selector structured to select, from the triangle merging candidate list, a first triangle merging candidate that is uni-prediction, wherein the first triangle merging candidate is used in a triangle partition above diagonal line of the triangle partition splitting a coding block; anda second triangle merging candidate selector structured to select, from the triangle merging candidate list, a second triangle merging candidate that is uni-prediction, wherein the second triangle merging candidate is used in a triangle partition below the diagonal line, whereinin a region where motion compensation by weighted averaging by the first triangle merging candidate and the second triangle merging candidate is performed, uni-prediction motion information of the second triangle merging candidate is stored in a coding information storage memory so that the uni-prediction motion information can be referred to as inter prediction information neighboring the coding block without storing bi-prediction motion information which is converted from motion information of list L0 and motion information of List L1.5. A moving picture decoding method using a triangle merge mode, the moving picture decoding method comprising:a triangle merging candidate list constructing step for constructing a triangle merging candidate list including spatial merging candidates;a first triangle merging candidate selecting step for selecting, from the triangle merging candidate list, a first triangle merging candidate that is uni-prediction, wherein the first triangle merging candidate is used in a triangle partition above a diagonal line of the triangle partition splitting a coding block; anda second triangle merging candidate selecting step for selecting, from the triangle merging candidate list, a second triangle merging candidate that is uni-prediction, wherein the second triangle merging candidate is used in a triangle partition below the diagonal line, whereinin a region where motion compensation by weighted averaging by the first triangle merging candidate and the second triangle merging candidate is performed, uni-prediction motion information of the second triangle merging candidate is stored in a coding information storage memory so that the uni-prediction motion information can be referred to as inter prediction information neighboring the coding block without storing bi-prediction motion information which is converted from motion information of list L0 and motion information of List L1.6. A non-transitory computer-readable medium storing a moving picture decoding program using a triangle merge mode, that in response to execution, causes a computer to perform operations comprising:a triangle merging candidate list constructing step for constructing a triangle merging candidate list including spatial merging candidates;a first triangle merging candidate selecting step for selecting, from the triangle merging candidate list, a first triangle merging candidate that is uni-prediction, wherein the first triangle merging candidate is used in a triangle partition above a diagonal line of the triangle partition splitting a coding block; anda second triangle merging candidate selecting step for selecting, from the triangle merging candidate list, a second triangle merging candidate that is uni-prediction, wherein the second triangle merging candidate is used in a triangle partition below the diagonal line, whereinin a region where motion compensation by weighted averaging by the first triangle merging candidate and the second triangle merging candidate is performed, uni-prediction motion information of the second triangle merging candidate is stored in a coding information storage memory so that the uni-prediction motion information can be referred to as inter prediction information neighboring the coding block without storing bi-prediction motion information which is converted from motion information of list L0 and motion information of List L1.