Matlab: Merge year into interval - matlab

Question

I have a vector with decades (note that some decades are deliberately missing:
decades = [1910 1920; 1921 1930; 1931 1940; 1951 1960]
and a vector with some years (max. 1 per decade) with a piece of information (let's say accidents):
years = [1916 35; 1923 77; 1939 28; 1941 40; 1951 32]
Is there a way to combine the information to the decades, other than using a loop?
result = [1910 1920 35; 1921 1930 77; 1931 1940 28; 1951 1960 32]

Answer 1

Assumptions (taken from OP's comments):
a. There won't be more than one year per decade.
b. decade and years are always sorted.
Code
%// Slightly different inputs to verify the correctness of code across
%//general cases, but within the above mentioned assumptions
decades = [1910 1920; 1921 1930; 1931 1940; 1951 1960; 1971 1980]
years = [1916 35; 1939 28; 1941 40; 1951 32]
cm = bsxfun(#ge,years(:,1),decades(:,1)') & bsxfun(#le,years(:,1),decades(:,2)')
select_years = any(cm,2)
select_decades = any(cm,1)
%// If result is needed such that decades which do not have a entry in
%// years must be logged in with the third column as 0
result = [decades sum(bsxfun(#times,cm,years(:,2)))'] %//'
%// If result is needed such that decades which do not have a entry in
%// years must be skipped
result = [decades(select_decades,:) years(select_years,2)]
Output
decades =
1910 1920
1921 1930
1931 1940
1951 1960
1971 1980
years =
1916 35
1939 28
1941 40
1951 32
result =
1910 1920 35
1921 1930 0
1931 1940 28
1951 1960 32
1971 1980 0
result =
1910 1920 35
1931 1940 28
1951 1960 32

Answer 2

This accumulates values if there is more than one per decade. It also handles the case when a decade doesn't have any value.
[~, bin] = histc(years(:,1),reshape(decades.',[],1)); %'// find bin of each value
bin = (bin+1)/2; %// non-integers here indicate intervals between decades
bin(mod(bin,1)~=0) = size(decades,1)+1; %// values between decades: move to end
accum = accumarray(bin,years(:,2)); %// accumulate all values from each bin
result = [decades accum(1:end-1)]; %// remove end bin (values between decades)
Example with two values in one decade, and zero values in some other decade:
decades = [1910 1920; 1921 1930; 1931 1940; 1951 1960];
years = [1916 35; 1918 77; 1939 28; 1941 40; 1951 32];
result =
1910 1920 112
1921 1930 0
1931 1940 28
1951 1960 32

Answer 3

decades = [1910 1920; 1921 1930; 1931 1940; 1951 1960]
years = [1916 35; 1923 77; 1939 28; 1951 32]
new_decades_1=repmat(decades(:,1),1,size(decades,1))
new_decades_2=repmat(decades(:,2),1,size(decades,1))
new_years=repmat(years(:,1),1,size(years,1))
cond=(new_decades_1<=new_years') & (new_decades_2>=new_years')
[x,y]=find(cond);
result=[decades,years(x,2)]
This however requires that years and decades have the same length.