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計(jì)算數(shù)組空間地址偏移量

2023-04-01 15:00 作者:Akaiamerin  | 我要投稿

數(shù)組元素的存儲(chǔ)地址=數(shù)組空間首地址+偏移量

%5Cbegin%7Bbmatrix%7D%0Aa_%7B0%2C%200%7D%20%26%20a_%7B0%2C%201%7D%20%26%20%5Ccdots%20%26%20a_%7B0%2C%20n%20-%201%7D%20%5C%5C%0Aa_%7B1%2C%200%7D%20%26%20a_%7B1%2C%201%7D%20%26%20%5Ccdots%20%26%20a_%7B1%2C%20n%20-%201%7D%20%5C%5C%0A%5Cvdots%20%26%20%5Cvdots%20%26%20a_%7Bij%7D%20%26%20%5Cvdots%20%5C%5C%0Aa_%7Bm%20-%201%2C%200%7D%20%26%20a_%7Bm%20-%201%2C%201%7D%20%26%20%5Ccdots%20%26%20a_%7Bm%20-%201%2C%20n%20-%201%7D%0A%5Cend%7Bbmatrix%7D

以行為主序的二維數(shù)組a%5Bm%5D%5Bn%5D(下標(biāo)從0開(kāi)始),求a%5Bi%5D%5Bj%5D%20(0%20%5Cleq%20i%20%3C%20m%2C%200%20%5Cleq%20j%20%3C%20n)

????????對(duì)于前i%20-%201行,共有i行,每行n個(gè)元素,一共有i%20*%20n個(gè)元素;

????????對(duì)于第i行,a%5Bi%5D%5Bj%5D之前有j個(gè)元素;

????????故a%5Bi%5D%5Bj%5D的存儲(chǔ)位置相對(duì)于數(shù)組空間首地址偏移量為i%20*%20n%20%2B%20j

以列為主序的二維數(shù)組a%5Bm%5D%5Bn%5D(下標(biāo)從0開(kāi)始),求a%5Bi%5D%5Bj%5D%20(0%20%5Cleq%20i%20%3C%20m%2C%200%20%5Cleq%20j%20%3C%20n)

????????對(duì)于前j%20-%201列,共有j列,每列m個(gè)元素,一共有j%20*%20m個(gè)元素;

????????對(duì)于第j列,a%5Bi%5D%5Bj%5D之前有i個(gè)元素;

????????故a%5Bi%5D%5Bj%5D的存儲(chǔ)位置相對(duì)于數(shù)組空間首地址偏移量為j%20*%20m%20%2B%20i

%5Cbegin%7Bbmatrix%7D%0Aa_%7B1%2C%201%7D%20%26%20a_%7B1%2C%202%7D%20%26%20%5Ccdots%20%26%20a_%7B1%2C%20n%7D%20%5C%5C%0Aa_%7B2%2C%201%7D%20%26%20a_%7B2%2C%202%7D%20%26%20%5Ccdots%20%26%20a_%7B2%2C%20n%7D%20%5C%5C%0A%5Cvdots%20%26%20%5Cvdots%20%26%20a_%7Bij%7D%20%26%20%5Cvdots%20%5C%5C%0Aa_%7Bm%2C%201%7D%20%26%20a_%7Bm%2C%202%7D%20%26%20%5Ccdots%20%26%20a_%7Bm%2C%20n%7D%0A%5Cend%7Bbmatrix%7D

以行為主序的二維數(shù)組a%5Bm%5D%5Bn%5D(下標(biāo)從1開(kāi)始),求a%5Bi%5D%5Bj%5D%20(1%20%5Cleq%20i%20%5Cleq%20m%2C%201%20%5Cleq%20j%20%5Cleq%20n)

????????對(duì)于前i%20-%201行,共有i%20-%201行,每行n個(gè)元素,一共有(i%20-%201)%20*%20n個(gè)元素;

????????對(duì)于第i行,a%5Bi%5D%5Bj%5D之前有j%20-%201個(gè)元素;

????????故a%5Bi%5D%5Bj%5D的存儲(chǔ)位置相對(duì)于數(shù)組空間首地址偏移量為(i%20-%201)%20*%20n%20%2B%20j%20-%201

以列為主序的二維數(shù)組a%5Bm%5D%5Bn%5D(下標(biāo)從1開(kāi)始),求a%5Bi%5D%5Bj%5D%20(1%20%5Cleq%20i%20%5Cleq%20m%2C%201%20%5Cleq%20j%20%5Cleq%20n)

????????對(duì)于前j%20-%201列,共有j%20-%201列,每列m個(gè)元素,一共有(j%20-%201)%20*%20m個(gè)元素;

????????對(duì)于第j列,a%5Bi%5D%5Bj%5D之前有i%20-%201個(gè)元素;

????????故a%5Bi%5D%5Bj%5D的存儲(chǔ)位置相對(duì)于數(shù)組空間首地址偏移量為(j%20-%201)%20*%20m%20%2B%20i%20-%201

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